兹维博迪金融学第二版试题库4TB(1)
博迪《金融学》第2版名校考研真题[视频讲解](单选题)【圣才出品】
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博迪《金融学》第2版名校考研真题【视频讲解】一、单选题1.以下货币制度中会发生劣币驱逐良币现象的是()。
[中央财大2011金融硕士] A.金银双本位B.金银平行本位C.金币本位D.金汇兑本位【答案】A【解析】金银双本位制下金、银两种金属同时被法律承认为货币金属,金、银铸币都可自由铸造,都有无限的法定支付能力。
当金银铸币各按其本身所包含的价值并行流通时,市场上的商品就出现了金银两重价格,而这两重价格随金银市场比价的不断变动而变动。
为了克服由此造成的紊乱,很多国家用法律规定了金币与银币的比价。
但金银市场比价并不会由于法定比例的确定而不再发生变化。
于是法定比价和市场比价之间可能会出现差异,价值被高估的货币渐渐被贮藏,而劣币充斥市场。
金银平行本位是金银两种本位币按其所含金属的实际价值流通,国家对两种货币的交换不加规定,而由市场上的金银的实际比价自由确定金币和银币比价的货币制度。
在金本位制下,每单位的货币价值等同于若干重量的黄金(即货币含金量);当不同国家使用金本位时,国家之间的汇率由它们各自货币的含金量之比——铸币平价(Mint Parity)来决定。
金汇兑本位制(Gold Exchange Standard)又称“虚金本位制”,该国货币一般与另一个实行金本位制或金块本位制国家的货币保持固定的比价,并在后者存放外汇或黄金作为平准基金,从而间接实行了金本位制。
实际上,它是一种带有附属性质的货币制度。
当然,无论金块本位制或金汇兑本位制,都是削弱了的金本位制,很不稳定。
而这种脆弱的制度经过1929年~1933年的世界经济危机,终于全部瓦解。
2.面值为100元的永久性债券票面利率是10%,当市场利率为8%时,该债券的理论市场价格应该是()元。
[中央财大2011金融硕士]A.100B.125C.110D.1375【答案】B 【解析】该债券的理论市场价格应该是(元)125%8%10100=⨯==m r C P 。
3.实际利率为3%,预期通货膨胀率为6%,则名义利率水平应该近似地等于()。
兹维博迪金融学第二版精彩试题库9TB(1)
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Chapter NineValuation of Common StocksThis chapter contains 47 multiple choice questions, 17 short problems, and 9 longer problems. Multiple Choice1.In a quote listing of stocks, the ________ is defined as the annualized dollar dividend dividedby the stock’s price, and is usually expressed as a percentage.(a)cash dividend(b)dividend payout(c)dividend coverage(d)dividend yieldAnswer: (d)2.According to the discounted-dividend model, the price of a share of stock is the ________value of all expected ________ dividends per share, discounted at the market capitalization rate.(a)present; current(b)present; future(c)future; future(d)future; currentAnswer: (b)3.The value of common stock is determined by which of the following expected cash flows?(a)dividends and interest payments(b)dividends and maturity value of stock(c)dividends and net cash flows from operations of the firm(d)interest payments and maturity valueAnswer: (c)4.The ________ is the expected rate of return that investors require in order to be willing toinvest in the stock.(a)market capitalization rate(b)risk-adjusted discount rate(c)cost of debt(d)a and bAnswer: (d)5.The ________ of dividends is the most basic assumption underlying the discounted dividendmodel.(a)industry average(b)non-constant growth(c)constant growth(d)variabilityAnswer: (c)6.BHM stock is expected to pay a dividend of $2.50 a year from now, and its dividends areexpected to grow by 6% per year thereafter. What is the price of a BHM share if the market capitalization rate is 7% per year?(a)$250.00(b)$192.31(c)$25.00(d)$19.23Answer: (c)7.IOU stock is expected to pay a dividend of $1.67 a year from now, and its dividends are notexpected to grow in the foreseeable future. If the market capitalization rate is 7%, what is the current price of a share of IOU stock?(a)$11.69(b)$23.86(c)$116.90(d)$238.60Answer: (b)8.GMATS stock is currently selling for $34.50 a share. The current dividend for this stock is$1.60 and dividends are expected to grow at a constant rate of 10% per year thereafter. What must be the market capitalization rate for a share of GMATS stock?(a)4.90%(b)5.36%(c)14.64%(d)15.10%Answer: (d)9.Avacor stock is expected to pay a dividend of $1.89 a year from now, and its dividends areexpected to grow at a constant rate of 5% per year thereafter. If the market capitalization rate is 14% per year, what is the current price of a share of Avacor stock?(a)$13.50(b)$18.90(c)$21.00(d)$37.80Answer: (c)10.GRITO stock is currently selling for $46.10 a share. If the company is expected to pay adividend of $5.60 a year from now and dividends are not expected to grow thereafter, what is the market capitalization rate for a share of GRITO stock?(a)7.56%(b)8.23%(c)10.50%(d)12.15%Answer: (d)11.In the DDM model, if D1 and k are held constant, what will happen to the price of a stock ifthe constant growth rate gets higher?(a)the price of the stock will be higher(b)the price of the stock will hold constant(c)the price of the stock will be lower(d)it cannot be determined from the information givenAnswer: (a)12.The relation between earnings and dividends in any period is ________.(a)Dividends = Earnings/Net New Investment(b)Dividends = Earnings x Net New Investment(c)Dividends = Earnings + Net New Investment(d)Dividends = Earnings – Net New InvestmentAnswer: (d)13.Consider a firm called Nowhere Corporation, whose earnings per share are $12. The firminvests an amount each year that is just sufficient to replace the production capacity that is wearing out, and so the new investment is zero. The firm pays out all its earnings asdividends. Calculate the price of a share of Nowhere Corporation stock, give that k = 14%.(a)$168.00(b)$166.67(c)$85.71(d)$82.40Answer: (c)14.Consider a firm called SureBet Corporation. SureBet reinvests 55% of its earnings each yearinto new investments that earn a rate of return of 17% per year. Currently, SureBetCorporation has earnings per share of $12 and pays out 45% or $5.40 as dividends. Calculate the growth rate of earnings and dividends.(a)7.65%(b)8.50%(c)9.35%(d)24.75%Answer: (c)15.What adds value to the current price of a share of stock is ________.(a)growth per se(b)tax advantages(c)investment opportunities that earn rates of return > k(d)all of the aboveAnswer: (c)16.In order to evaluate the stock of Beltran Inc., an analyst uses the constant growth discounteddividend model. Expected earnings of $12 per share is assumed, as are an earnings retention rate of 70% and an expected rate of return on future investments of 17% per year. If the market capitalization rate is 14% per year, calculate the price for a share of Beltran stock.(a)$171.43(b)$367.35(c)$400.00(d)$857.14Answer: (a)17.In order to evaluate the stock of The Rendell-Vine Corporation, an analyst uses the constantgrowth discounted dividend model. Expected earnings of $12 per share is assumed, as are an earnings retention rate of 70% and an expected rate of return on future investments of 17% per year. If the market capitalization rate is 14% per year, what is the implied net present value of future investments?(a)$314.29(b)$281.64(c)$171.43(d)$85.72Answer: (d)18.In order to evaluate the stock of Toys’R’Me, an analyst uses the constant growthdiscounted dividend model. Expected earnings of $14 per share is assumed, as are anearnings retention rate of 60% and an expected rate of return on future investments of 17% per year. If the market capitalization rate is 15% per year, what is the implied net present value of future investments?(a)$23.34(b)$70.00(c)$93.34(d)$116.67Answer: (a)19.Firms with consistently high P/E multiples are interpreted to have either relatively ________market capitalization rates or relatively ________ present value of value-added investments.(a)low; low(b)high; high(c)high; low(d)low; highAnswer: (d)20.In a “frictionless” financial environment, the shareholders wealth is ________ the dividendpolicy the firm adopts.(a)increased by(b)decreased by(c)not affected by(d)determined byAnswer: (c)21.In a ________ the company pays cash to buy shares of its stock in the stock market, therebyreducing the number of shares outstanding.(a)cash dividend(b)share repurchase(c)stock split(d)a and bAnswer: (b)22.Stock splits and stock dividends ________ the number of shares of stock outstanding.(a)decrease(b)do not alter(c)increase(d)a or bAnswer: (c)23.SureBet Corporation has total assets with a market value of $15 million: $3 million in cashand $12 million in other assets. The market value of its debt is $3 million; of its equity $12 million. There are 1,000,000 shares of SureBet common stock outstanding, each with amarket price of $12. If SureBet distributes a cash dividend of $1.50 per share, the market value of its assets and of its equity ________ by ________.(a)increases; $1.5 million(b)increases; $10.5 million(c)decreases; $1.5 million(d)decreases; $10.5 millionAnswer: (c)24.SureBet Corporation has total assets with a market value of $15 million: $3 million in cashand $12 million in other assets. The market value of its debt is $3 million; of its equity $12 million. There are 1,000,000 shares of SureBet common stock outstanding, each with amarket price of $12. If SureBet repurchases shares worth $2.4 million, the resulting number of shares outstanding is ________ , with a price per share of ________.(a)200,000; $15(b)200,000; $12(c)800,000; $15(d)800,000; $12Answer: (d)25.“Frictions” that can cause a firm’s dividend policy to have an effect on the wealth ofshareholders include:(a)regulations(b)taxes(c)cost of external finance(d)all of the aboveAnswer: (d)26.Outside investors may interpret an increase in a corporation’s cash dividend as ________sign.(a)a positive sign(b)a negative sign(c)an indifferent sign(d)b or cAnswer: (a)27.From the perspective of a shareholder with regard to personal taxation, it is always ________for the corporation to pay out cash by ________.(a)better; cash dividends(b)worse; cash dividends(c)worse; share repurchases(d)it varies according to the situationAnswer: (b)28.An increase in a corporation’s cash dividend is most likely to ________.(a)decrease the price of its stock(b)increase the price of its stock(c)have no impact on the price of its stock(d)decrease trading activity of its stockAnswer: (b)29.Raising cash by issuing new stock is ________ to the corporation than raising cash byforegoing the payments of dividends.(a)is less costly(b)is more costly(c)is no different(d)just as costlyAnswer: (b)30.Gough Fraser is considering purchasing the stock of ASIOA Companies, which he plans tohold indefinitely. ASIOA just paid an annual dividend of $2.50 and the price of the stock is $48 per share. The earnings and dividends of the company are expected to grow forever at a rate of 6 percent per year. What annual rate of return does Gough expect on his investment?(a)10.58%(b)11.21%(c)11.52%(d)12.46%Answer: (c)31.Beazley Inc. just paid a dividend of $3.00 per share. This dividend is expected to grow at asupernormal rate of 15 percent per year for the next two years. It is then expected to grow at a rate of 6 percent per year forever. The appropriate discount rate for Beazley’s stock is 17 percent. What is the price of the stock?(a)$17.64(b)$27.27(c)$33.78(d)$46.15Answer: (c)32.Beazley Corporation would like to raise $100,000,000 by issuing preferred stock. Thepreferred stock will have a par value of $1,000 per share and pay a dividend of $72 per year.If the required rate of return for this stock is 16 percent, how many shares of preferred stock must Beazley issue?(a)450(b)16,000(c)222,222(d)265,332Answer: (c)33.If you use the constant dividend growth model to value a stock, which of the following iscertain to cause you to increase your estimate of the current value of the stock?(a)Decreasing the required rate of return for the stock(b)Decreasing the estimate of the amount of next year’s dividend(c)Decreasing the expected dividend growth rate(d)All of the aboveAnswer: (a)34.The constant dividend growth model may be used to find the price of a stock in all of thefollowing situations except when:(a)g < k(b)k < g(c)g = 0(d)k≠ gAnswer: (b)35.CarsonCorp just paid an annual dividend of $3.00. Dividends are expected to grow at aconstant rate forever. The price of the stock is currently $63.00. The required rate of return for this stock is 15 percent. What is the expected growth rate of CarsonCorp’s dividend?(a)5.00%(b)5.48%(c)6.33%(d)10.00%Answer: (a)36.The common stock of Century Inc. is expected to pay a dividend of $2.00 one year fromtoday. After that the dividend is expected to grow at a rate of 10 percent per year for two years and then at a rate of 5 percent per year forever. If the required rate of return for this stock is 15 percent what is the current price?(a)$12.00(b)$18.29(c)$21.69(d)$25.40Answer: (c)37.A firm’s common stock is trading at $80 per share. In the past the firm has paid a constantdividend of $6 per share. However, the company has just announced new investments that the market did not know about. The market expects that with these new investments, thedividends should grow at 4% per year forever. Assuming that the discount rate remains the same, what will be the price of the stock after the announcement?(a)$94.50(b)$156.00(c)$171.43(d)$178.29Answer: (d)38.If the model below is to give a reasonable valuation of a stock, which of the followingpossible situations must be excluded?P0 = D1/(r – g)(a)There is no growth.(b)The growth rate exceeds the required rate of return.(c)The required rate of return is exceptionally high.(d)Growth is constant.Answer: (b)39.According to the constant growth model of stock valuation, capital appreciation in commonstock is a direct result of ________.(a)growth in future dividends(b)a reduction in the required rate of return(c)growth in corporate assets(d)a growth rate that exceeds the required rate of returnAnswer: (a)Questions 40 through 43 refer to the following information:New competition in Sophco’s market is going to have an impact on the growth in thefirm’s dividends. A current dividend of $1.00 was paid yesterday by Sophco, and thisdividend is expected to increase by 25% in the first year. After that point, the growth individends is expected to “decay” to the firm’s long-run constant growth of 10%. Sucha “decay” process is one in which dividend growth declines by 5 percentage points peryear up to the point where the expected constant rate of dividend growth is reached. So,year 2 dividend will be 20 percent higher than year 1, year 3 dividends will be 15 percent higher than year 1, and after year 3, dividends will grow by 10 percent forever. Forproblems 40 – 43, assume investors in Sophco require a rate of return of 15%.40.Calculate Sophco’s dividend in year 2.(a)$1.13(b)$1.25(c)$1.5(d)$1.73Answer: (c)41.Calculate the Sophco’s dividend in year 4.(a)$1.24(b)$1.57(c)$1.73(d)$1.90Answer: (d)42.Determine the price of Sophco’s stock at the end of year 3 (just after the dividend has beenpaid).(a)$26.12(b)$28.34(c)$38.00(d)$39.73Answer: (c)43.Calculate the current price of Sophco’s stock.(a)$26.12(b)$28.34(c)$38.00(d)$39.73Answer: (b)Questions 44 through 47 refer to the following information:New competition in Acme Unlimited’s market is going to have an impact on the growth of the firm’s dividends. A current dividend of $1.50 was paid yesterday, and thisdividend is expected to increase by 35% in the first year. After that point, the growth individends is expected to “decay” to the firm’s long run constant growth of 5%. Such a “decay” process is one in which dividend growth declines by 10 percentage points per year up to the point where the expected constant rate of dividend growth is reached. So, year 2 dividend will be 25 percent higher than year 1, year 3 dividend will be 15 percent higher, and after year 3, dividends will grow by 5 percent forever. Assume that investors require a rate of return of 17 on Acme Unlimited’s stock.44.Calculate the dividend in year 2.(a)$2.54(b)$2.92(c)$3.21(d)$3.30Answer: (a)45.Calculate the dividend in year 4.(a)$2.35(b)$2.54(c)$3.21(d)$3.53Answer: (c)46.Determine the price of Acme Unlimited’s stock at the end of year 3 (just after the dividendhas been paid).(a)$22.13(b)$26.75(c)$29.67(d)$34.24Answer: (b)47.Calculate the current price of Acme Unlimited’s stock.(a)$22.13(b)$26.75(c)$29.67(d)$34.24Answer: (a)Short Problems1.Discuss the two ways in which a corporation can distribute cash to its shareholders.Answer:There are two ways a corporation can distribute cash to its shareholders: by paying acash dividend or by repurchasing the company’s shares in the stock market. When acompany pays a cash dividend, all shareholders receive cash in amounts proportional to the number of shares they own.In a share repurchase, the company pays cash to buy shares of its stock in the stockmarket, thereby reducing the number of shares outstanding. In this case, onlyshareholders who choose to sell some of their shares will receive cash.2.Does growth “per se” add value to the current price of a share? If not, what does add valueto a share’s current price?Answer:Growth per se does not add value. What adds value is the opportunity to invest inprojects that can earn rates of return in excess of the required rate, k. When a firm’sfuture investment opportunities yield a rate of return equal to k, the stock’s value can be estimated using the formula P0 = E1/k.3.In order to evaluate the stock of DippinDonuts, an analyst uses the constant growthdiscounted dividend model. Expected earnings of $15 per share are assumed, as are anearnings retention rate of 70% and an expected rate of return on future investments of 18% per year. If the market capitalization rate is 15% per year, what is the implied net present value of future investments?Answer:g = 0.7 x 0.18= 12.6%Use the constant growth formula to solve for P0:P0 = D1/(k – g)= 4.50/(0.15-0.126)= $187.50Next find P0 with the formula P0 = E1/k:= 15/0.15= $100The NPV of future investments is the difference between these two values: $187.50 –$100 = $87.504.In order to evaluate the stock of EasyStreet Corporation, an analyst uses the constant growthdiscounted dividend model. Expected earnings of $16 per share are assumed, as are anearnings retention rate of 60% and expected rate of return on future investments of 17% per year. If the market capitalization rate is 14% per year, what is the implied net present value of future investments?Answer:g = 0.6 X 0.17= 10.2%Use the constant growth formula to solve for P0:P0 = D1/(k – g)= $6.40/(0.14 – 0.102)= $168.42Next find P0 with the formula P0 = E1/k:= 16/0.14= $114.29The NPV of future investments is the difference between the two values: $168.42 –$114.29 = $54.13.anic Earth stock is expected to pay a dividend of $2.70 per share a year from now, and itsdividends are expected to grow by 7% per year thereafter. If its price is now $30 per share, what must be the market capitalization rate?Answer:Use the constant growth formula to solve for k:P0 = D1/(k – g)30 = 2.70/(k – 0.07)k = 16%6.Walch stock currently sells for $27.62 a share, and is expected to pay a dividend of D1 a yearfrom now. If its dividends are expected to grow by 4.5% per year thereafter and thecapitalization rate is 15% per year, what is the value of D1?Answer:Use the constant growth formula to solve for D1:P0 = D1/(k – g)D1 = P0(k – g)= $27.62(0.15 – 0.045)= $2.907.Discuss how outside investors may interpret an increase in a corporation’s cash dividend asopposed to a decrease.Answer:Investors may interpret an increase in a corporation’s cash dividend as a positive sign since it would suggest that management is confident the earnings can be sustained in the future.The result is most likely to be an increase in stock price. A decrease could be viewed as a bad signal that will most likely cause a decline in stock price.8.Consider the balance sheet of SureThing Corporation:Assets Liabilities and Shareholders’ EquityCash: $3 million Debt: $3 millionOther Assets: $11 million Equity: $11 millionTotal: $14 million Total: $14 millionNumber of shares outstanding = 440,000Price per share = $25If SureThing pays a cash dividend of $2.50 per share, what will the balance sheet look like afterward?Answer:Balance sheet after payment of cash dividend:Assets Liabilities and Shareholders’ EquityCash: $1.9 million Debt: $3 millionOther assets: $11 million Equity: $9.9 millionTotal: $12.9 million Total: $12.9 millionNumber of shares outstanding = 440,000Price per share = $22.509.Consider the balance sheet of SureThing Corporation:Assets Liabilities and Shareholders’ EquityCash: $3 million Debt: $3 millionOther assets: $11 million Equity: $11 millionTotal: $14 million Total: $14 millionNumber of shares outstanding = 440,000Price per share = $25If SureThing Corporation repurchases shares worth $2.5 million, what will the new balance sheet for SureThing Corporation look like?Answer:Balance sheet after share repurchase:Assets Liabilities and Shareholders’ EquityCash: $0.5 million Debt: $3 millionOther assets: $11 million Equity: $8.5 millionTotal: $11.5 million Total: $11.5 million Number of shares outstanding = 340,000Price per share = $2510.Consider the balance sheet of SureThing Corporation:Assets Liabilities and Shareholders’ Equity Cash: $3 million Debt: $3 million Other assets: $11 million Equity: $11 million Total: $14 million Total: $14 million Number of shares outstanding = 440,000Price per share = $25If SureThing is paying a 20% stock dividend, what will the number of shares outstanding be?What will be the price per share?What would be the effect of a two-for-one stock split?Answer:After paying a 20% stock dividend:Number of shares outstanding = 528,000Price per share = $20.83After a two-for-one stock split:Number of shares outstanding = 880,000Price per share = $12.5011.Gough Fraser is considering purchasing the stock of ASIOA Companies, which he plans tohold indefinitely. ASIOA just paid an annual dividend of $3.00 and the price of the stock is $48 per share. The earnings and dividends of the company are expected to grow forever at a rate of 6 percent per year. What annual rate of return does Gough expect on his investment?Answer:D1 is 3.00. Given 6% annual growth, D1 = 3.00 x 1.06 = 4.80.Use the constant growth formula to solve for k:P0 = D1/(k – g)48 = 4.80/(k – 0.06)48k – 2.88 = 4.8048k = 7.68k = 16%12.Halpert Corporation would like to raise $100,000,000 by issuing preferred stock. Thepreferred stock will have a par value of $1,000 per share and pay a dividend of $48 per year.If the required rate of return for this stock is 15 percent, how many shares of preferred stock must Halpert issue?Answer:P0 = D1kP0 = $480.15= $320Number of shares = $100,000,000/$320= 312,500 shares13.Aslan Inc. just paid a dividend of $5.00 per share. This dividend is expected to grow at asupernormal rate of 20 percent per year for the next two years. It is then expected to grow at a rate of 5 percent per year forever. The appropriate discount rate for Aslan’s stock is 17percent. What is the price of the stock?Answer:D0 = $5D1 = $5(1.2)= $6.00D2 = $6.00(1.2)= $7.20D3 = $7.20(1.05) = $7.56P2 = D3/(k – g)= $7.56/(0.17 – 0.05)= $63.00P0 = $6.00/(1.17) + ($7.20 + $63.00)/(1.17)2= $56.4114.Druids Corp. just paid an annual dividend of $2.50. Dividends are expected to grow at aconstant rate forever. The price of the stock is currently $38.40. The required rate of return for this stock is 15 percent. What is the expected growth rate of Druids dividend?Answer:D0 = $2.50D1 = $2.50(1 + g)P0 = $38.40k = 15%Use the constant growth formula to solve for g:P0 = D1/(k – g)38.40 = 2.50(1 + g)/(0.15 – g)5.76 – 38.4g = 2.5 + 2.5g3.26 = 40.9g0.0797 = g15.The common stock of Century Inc. is expected to pay a dividend of $1.80 one year fromtoday. After that the dividend is expected to grow at a rate of 15 percent per year for two years and then at a rate of 5 percent per year forever. If the required rate of return for this stock is 15 percent, what is the current price?Answer:D1 = $1.80D2 = $2.07D3 = $2.38D4 = $2.50P3 = $2.50/(0.15 – 0.05)= $25.00P0 = 1.80/(1.15) + 2.07/ (1.15)2 + (2.38 + 25.00)/(1.15)3= $21.1416.A firm’s common stock is trading at $54 per share. In the past the firm has paid a constantdividend of $4 per share. However, the company has just announced new investments that the market did not know about. The market expects that with these new investments, thedividends should grow at 4% per year forever. Assuming that the discount rate remains the same, what will be the price of the stock after the announcement?Answer:P0 = $54Dividends have been constant, so:P0 = D1kk = $4/$54= 7.4%Now g = 4% and k stays same:P0 = 4(1.04)/(0.074 – 0.04)= $122.3517.Consider a stock that just paid a $3.00 dividend. You expect dividends on this stock to growat 25 percent per year for the next 3 years and 10 percent per year thereafter. If you require an18 percent return, how much are you willing to pay for this stock?Answer:D0 = $3D1 = $3(1.25)= $3.75D2 = 3.75(1.25)= $4.69D3 = 4.69(1.25)= $5.86D4 = $5.86(1.10)= $6.45P3 = $6.45/(0.18 – 0.10)= $80.63P0 = 3.75/(1.18) + $4.69/(1.18)2 + $86.63/(1.18)3= $59.19Longer Problems1.WannaGrow Corporation has expected earnings per share of $8. It has a history of payingcash dividends equal to 30% of earnings. The market capitalization rate for WannaGrow stock is 15% per year, and the expected rate of return on future investments is 18% per year.Using the constant growth rate discounted dividend model:a.What is the expected growth rate of dividends?b.What is the model’s estimate of the present value of the stock?c.What is the expected price of a share a year from now?Answer:a.g = earnings retention rate x ROE= 0.7 x 0.18= 12.6%b.D1 = 0.3 x $8= $2.40Use the constant growth formula to solve for D1:P0 = D1/(k – g)= $2.40/(0.15 – 0.126)= $100c.P1 = P0 (1 + g)= $100(1.126)P1 = $112.602.Dividends’R’Us Corporation is an all equity financed firm with a total market value of$150 million. The company holds $20 million in cash and has $130 million in other assets.There are 2,500,000 shares of common stock outstanding for this company, each with a market price of $52. Consider the following decisions and the impact on Dividends’R’Us Corporation’s stock price and on number of shares outstanding.a.The company pays a cash dividend of $5 per share.b.The company repurchases 250,000 shares.c.The company pays a 20% stock dividend.d.The company has a two-for-one stock split.Answer:a.The company pays out a total of $12.5 million in cash dividends. The stock pricefalls to $47 per share. Shareholder wealth may decline because personal taxesmay have to be paid on the cash dividend. The number of shares outstanding isstill 2.5 million shares.b.The stock price is unchanged. The number of shares outstanding is now2,250,000 shares.c.The number of shares outstanding is 1.2 x 2.5 million = 3 million shares.The stock price is $43.34.d.The number of shares doubles to 5,000,000.The stock price halves to $26.3.The stock of WishToGrow Corporation is currently selling for $15 per share. Earnings pershare in the coming year are expected to be $3. The company has a policy of paying out 70% of its earnings each year in dividends. The remaining 30% is retained and invested in projects that earn a 19% rate of return each year. This situation is expected to continue into theforeseeable future.ing the constant growth rate DDM, what rate of return do WannaGrow investorsrequire?b.By how much does its value exceed what it would be if all earnings were paid asdividends and nothing were reinvested?c.If WannaGrow were to cut its dividend payout ratio to 35%, what would happen to itsstock price?Answer:a.P0 = $15, E1 = $3, D1 = 0.7 x $3= $2.10g = 0.3 x 0.19= 5.7%P0 = D1/(k – g)15 = $2.10/(k – 0.057)k = 19.7%b.If all earnings were paid as dividends its price would be:P0 = 3/0.197= $15.23The current price is actually $0.23 less in value than the above model.c. D1 = 0.35 x $3 g = 0.65 x 0.19= $1.05 = 12.35%P0 = 1.05/(0.197 – 0.1235)= $14.29The stock price would drop by $0.71.。
兹维博迪金融学第二版试题库4TB(1)
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Chapter FourAllocating Resources Over TimeThis chapter contains 46 multiple-choice questions, 18 short problems and 9 longer problems. Multiple Choice1.________ is the process of going from present value to future value, whereas ________ isfinding the present value of some future amount.(a)Discounting; compounding(b)Compounding; annualizing(c)Compounding; discounting(d)Discounting; leasingAnswer: (c)2.________ refers to the interest rate at which money received before the end of the planninghorizon can be reinvested.(a)Internal rate(b)Reinvestment rate(c)Cost of equity(d)Compound interestAnswer: (b)3.The difference between an immediate annuity and an ordinary annuity is ________.(a)the number of periods(b)the amount of the payments(c)the interest rate(d)the timing of the paymentsAnswer: (d)4.The preferred stock of Tavistock Realty offers a cash dividend of $2.28 per year and it isselling at a price of $110 per share. What is the yield of Tavistock Realty preferred stock?(a)2.07%(b)2.12%(c)2.28%(d)48.25%Answer: (a)5.Consider the situation where you have won a $10 million lottery to be received in 25 annualequal payments of $400,000. What will happen to the present value of these winnings if the interest rate increases during the next 25 years?(a)it will not change(b)it will be worth more(c)it will be worth less(d)it cannot be determinedAnswer: (c)6.What is the effective annual rate on a bank account that has APR of 8 percent with interestcompounded quarterly?(a)6.12%(b)8.24%(c)8.48%(d)17.17%Answer: (b)7.You take out a loan with an APR of 10% with monthly compounding. What is the effectiveannual rate on your loan?(a)23.87%(b)21.6%(c)19.56%(d)18%Answer: (a)8.The CFO of CyberHelp Inc. has $250,000 in cash today that he wants to invest. How muchwill this investment be worth in four years if the current interest rate is 8%?(a)$270,000(b)$330,000(c)$340,125(d)$342,150Answer: (c)9.If you purchase a $12,000 certificate of deposit today with an APR of 14%, with quarterlycompounding, what will the CD be worth when it matures in 5 years?(a)$20,846.99(b)$20,865.60(c)$23,104.97(d)$23,877.47Answer: (d)10.The CFO of CyberChain Inc. plans to unleash a media campaign that is expected to cost $15million four years from today. How much cash should she set aside to pay for this if the current interest rate is 13%?(a)$9.2 million(b)$13.3 million(c)$14.4 million(d)$16.9 millionAnswer: (a)11.The NPV is a measure of how much your ________ wealth changes as a result of your choiceand if the NPV is ________it does not pay to undertake that choice.(a)future; negative(b)current; negative(c)current; positive(d)future; positiveAnswer: (b)12.The ________ is the rate that one can earn somewhere else if one did not invest in the projectunder evaluation.(a)opportunity cost of capital(b)cost of debt(c)cost of equity(d)weighted average cost of capitalAnswer: (a)13.You are trying to decide whether or not to buy a bond for $990 that will make one paymentfor $1,050 four years from today. What is the internal rate of return on the bond’s cash flows?(a)1.06%(b)1.48%(c)10.6%(d)14.8%Answer: (b)14.Calculate the NPV of the following cash flows: you invest $3,000 today and receive $300 oneyear from now, $700 two years from now, and $1,100 starting four years from now. Assume that the interest rate is 7%.(a)–$1,962.62(b)–$1,269.04(c)$1,269.04(d)$1,962.62Answer: (b)15.After each payment of an amortized loan, the outstanding balance is reduced by the amountof principal repaid. Therefore, the portion of the payment that goes toward the payment of interest is ________ than the previous period’s interest payment and the portion going toward repayment of principal is ________ than the previous period’s.(a)greater; lower(b)lower; lower(c)greater; greater(d)lower; greaterAnswer: (d)16.The present value of a future amount can be calculated with the equation ________.(a) PV = FV(1 + i)n(b) PV = FV(1 + i)(n)(c) PV = FV/(1 + i)n[NOTE: this should be formatted as a stacked fraction](d) PV = FV/(1 + i)(n) [NOTE: this should be formatted as a stacked fraction]Answer: (c)17.To compute the future value of a present amount use the compound amount factor defined as________.(a) FV = PV(1 + i)n(b) FV = PV(1 + i)(n)(c) FV = PV/(1 + i)n [NOTE: this should be formatted as a stacked fraction](d) FV = PV/(1 + i)(n) [NOTE: this should be formatted as a stacked fraction]Answer: (a)18.The earnings of BGB Computers have grown from $3.20 to $6.90 in 6 years. Determine theannual compound rate.(a)1.14%(b)13.7%(c)15.6%(d)115.6%Answer: (b)19.In five years you intend to go to graduate school. For each of your four years in graduateschool, you need to have a fund that will provide $25,000 per year at the beginning of each year. If the interest rate is 9% throughout, how much must you put in the fund today?(a)$64,996(b)$57,379(c)$50,184(d)$16,249Answer: (b)20.As part of your new job at CyberInc. the company is providing you with a new Jeep. Yourfirm will lease this $34,000 Jeep for you. The terms of the lease are seven annual payments at an interest rate of 10%, which will fully amortize the cost of the car. What is the annual lease payment?(a)$6,984.39(b)$5,342.86(c)$4,857.14(d)$3,584.00Answer: (a)21.A rule of thumb with using the internal rate of return is to invest in a project if the IRR is________ the opportunity cost of capital.(a)greater than(b)less than(c)less than or equal to(d)one-half ofAnswer: (a)22.When considering the timeframe of an investment, a rule followed by some is to choose theinvestment with ______ payback period.(a)the longest(b)the shortest(c)no(d)an infiniteAnswer: (b)23.A major problem with using the internal rate of return rule is ________.(a)there may be multiple cash outflows and multiple cash inflows(b)the internal rate of return may not exist(c)the internal rate of return may not be unique(d)all of the aboveAnswer: (d)24.The NPV is the difference between the ________ value of all ________ cash inflowsminus the ________ value of all current and future cash outflows.(a)future; present; present(b)present; future; present(c)present; present; future(d)present; future; futureAnswer: (b)25.When considering effective interest rates, as the compounding frequency increases, theeffective annual rate gets ________ and ________ but approaches ________.(a)larger; larger; a limit(b)smaller; smaller; a limit(c)larger; larger; infinity(d)smaller; smaller; infinityAnswer: (a)26.In 10 years you wish to own your business. How much will you have in your bankaccount at the end of 10 years if you deposit $300 each quarter (assume end of the period deposits)? Assume the account is paying an interest rate of 12% compounded quarterly.(a)$20,220(b)$21,060(c)$21,626(d)$22,620Answer: (d)27.The director of marketing for CyberProducts Inc. plans to unleash a media blitz that isexpected to cost $4.7 million three years from today. How much cash should she set aside today to pay for this if the current interest rate is 11%?(a) $6.43 million(b) $4.23 million(c) $3.62 million(d) $3.44 millionAnswer: (d)28.If you purchased a $10,000 certificate of deposit today with an APR of 12%, with monthlycompounding, what would be the CD worth when it matures in 6 years?(a) $56,340(b) $20,468(c) $19,738(d) $5,066Answer: (b)29.The manufacturing manager of CyberProducts Inc. estimates that she can save the company$16,000 cash per year over the next 8 years by implementing a recycling plan. What is the value of the savings today if the appropriate interest rate for the firm is 9%? Assume cash flows occur at the end of the year.(a) $64,240(b) $88,557(c) $96,527(d) $128,000Answer: (b)30.If the exchange rate between the U.S. dollar and the French Franc is $0.17 per French Franc,the dollar interest rate is 5.5% per year, and the French Franc interest rate is 4.5% per year, what is the "break-even" value of the future dollar/French Franc exchange rate one year from now?a)$0.172 per FFb)$0.179 per FFc)$5.827 per FFd)$5.882 per FFAnswer: (a)31.In any time value of money calculation, the cash flows and the interest rate must bedenominated ________.a)in the same currencyb)in different currenciesc)in terms of a third currencyd)in terms of the ECUAnswer: (a)32.If the exchange rate between the U.S. dollar and the Japanese yen is $0.00745 per yen, thedollar interest rate is 6% per year, and the Japanese interest rate is 7% per year, what is the “break-even” value of the future dollar/yen exchange rate one year from now?a)$135.49 per yenb)$134.23 per yenc)$0.00752 per yend)$0.00738 per yenAnswer: (d)33.Consider the situation where you are trying to decide if you should invest in a Swiss projector an American project. Both projects require an initial outlay of $15,000. The Swiss project will pay you 17,100 Swiss Francs per year for 6 years, whereas the American one will pay you $11,000 per year for 6 years. The dollar interest rate is 5% per year, the Swiss Franc interest rate is 6% per year, and the current dollar price of a Swiss Franc is $0.68 per Swiss Franc. Which project has the higher NPV?a)the U.S. project; its NPV is $55,832b)the U.S. project; its NPV is $40,833c)the Swiss project; its NPV is $42,179d)the Swiss project; its NPV is $57,178Answer: (c)34.The ________ is the rate denominated in dollars or in some other currency, and the ________is denominated in units of consumer goods.a)nominal interest rate; inflation interest rateb)nominal interest rate; real interest ratec)real interest rate; inflation interest rated)real interest rate; nominal interest rateAnswer: (b)35.Consider the situation where you are trying to decide if you should invest in a British projector U.S. project. Both projects require an initial outlay of $55,000. The British project will pay you 30,000 pounds per year for 6 years, whereas the American one will generate $40,000 per year for 6 years. The British interest rate is 5% per year, and the American interest rate is 6% per year; the current dollar price of a pound sterling is $1.6320 per pound sterling. Which project has the higher NPV?a)choose the U.S. one, it has a NPV of $196,693b)choose the U.S. one, it has a NPV of $141,693c)choose the British one, it has a NPV of $248,506d)choose the British one, it has a NPV of $193,506Answer: (d)36.What is the real interest rate if the nominal interest rate is 9% per year and the rate ofinflation is 6% per year?a) 1.5%b) 2.75%c) 2.83%d)7.5%Answer: (c)37.What is the nominal interest rate if the real rate of interest is 4.5% and the rate of inflation is6% per year?a)10.5%b)10.77%c)10.86%d)14.5%Answer: (b)38.What is the real rate of interest if the inflation rate is 6% per year and the nominal interestrate per year is 12.5%?a) 1.32%b) 6.13%c) 5.78%d)11.79%Answer: (b)pute the real future value, to the nearest dollar, of $2,000 in 35 years time. The realinterest rate is 3.2%, the nominal interest rate is 8.36%, and the rate of inflation is 5%.a)$6,023b)$6,853c)$33,223d)$11,032Answer: (a)40.The real interest rate is 3.2%, the nominal interest rate is 8.36% and the rate of inflation is 5%.We are interested in determining the future value of $200 in 35 years time. What is the future price level?a) 2.91b) 3.012c) 5.516d)16.61Answer: (c)41.Suppose your child is 9 years old and you are planning to open a fund to provide for thechild’s college education. Currently, tuition for one year of college is $22,000. How much must you invest now in order to pay enough for the first year of college nine years from now, if you think you can earn a rate of interest that is 4% more than the inflation rate?a)$21,154b)$16,988c)$15,585d)$15,457Answer: (d)42.Suppose you have a child who is 10 years old and you are planning to open a fund to providefor the child’s college education. Currently, tuition for one year is $22,000. Your child is planning to travel for two years before starting college. How much must you invest now in order to pay enough for the first year of college ten years from now, if you think you can earna rate of interest that is 5% more than the inflation rate?a)$10,190b)$13,506c)$13,660d)$20,952Answer: (b)43.When considering a plan for long run savings, if one does not have an explicit forecast ofinflation, then one can make plans in terms of:a)constant real payments and a real rate of interestb)constant nominal payments and a nominal rate of interestc)constant real payments and a nominal rate of interestd)constant nominal payments and a real rate of interestAnswer: (a)44.If the real rate is 4% and the rate of inflation is 6%, what is the nominal rate?a)8.16%b)10.16%c)10.24%d)10.36%Answer: (c)45.You have an investment opportunity with a nominal rate of 6% compounded daily. If youwant to have $100,000 in your investment account in 15 years, how much should you deposit today, to the nearest dollar?a.$43,233b.$41,727c.$40,930d.$40,660Answer: (d)46.You have determined the present value of an expected cash inflow stream. Which of thefollowing would cause the stream to have a higher present value?a)The discount rate increases.b)The cash flows are paid over a shorter period of time.c)The discount rate decreases.d)Statements (b) and (c) are both correct.Answer: (d)Short Problems1.CyberNow is opening an office in the U.S. CyberNow expects cash flows to be $500,000 forthe first year, $530,000 for the second year, $560,000 in the third year. If CyberNow uses 12 percent as its discount rate, what is the present value of the cash flows? Assume cash flows are made at the end of the year.Answer: PV = FV/(1 + i)n= 500,000/(1.12)1 + 530,000/(1.12)2 + 560,000/(1.12)3= 446,429 + 422,513 + 398,597= $1,267,5392. GeorgiaSun Inc. has preferred stock that pays an annual dividend of $10.50. If the securityhas no maturity (an “infinite” life), what is its value to an investor who wishes to obtain an8.5 percent rate of return?Answer: PV of a level Perpetuity = $10.50/0.085= $123.533.Let us suppose you have a choice between investing in a bank savings account that pays 9%compounded annually (Bank Yearly) and one that pays 8.5% compounded daily (Bank Daily).(Assume this is based on 365 days). Using only effective annual rates, which bank would you prefer?Answer: Effective annual rate: Bank Yearly = 9%Effective annual rate: Bank Daily = [1 + 0.085/365]365 – 1= 8.87%You would prefer Bank Yearly because you will earn more money.4.Steptoe’s bank account has a floating interest rate on certain deposits. That is, every year theinterest rate is adjusted. Four years ago Steptoe deposited $35,000 into the bank account, when interest rates were 6%. The following year the rate was 6.5%, last year the rate was 8% and this year the rate fell to 7.5%. How much will be in his account at the end of the year?Assume annual compounding.Answer: Amount = $35,000 x 1.06 x 1.065 x 1.08 x 1.075= $45,872.855.Calculate the net present value of the following cash flows: you invest $4,000 today andreceive $400 one year from now, $900 two years from now and $2000 three years from now.Assume the interest rate is 9%.Answer: NPV = $400/(1.09) +$900/(1.09)2 + $2,000(1.09)3 –$4,000= $366.97 + $757.51 + $1,544.37 – $4,000= $ -1,331.156.The manufacturing manager of CyberNow Inc. estimates that she can save the company$20,000 cash per year over the next 5 years by implementing a recycling plan. What is the value of the savings today if the appropriate interest rate for the firm is 8%. Assume that cash flows occur at the end of the year.Answer:n i PV FV PMT Result5 8 ? 0 $20,000 PV = $79,854.207.Stroll Inc. has been offered a $2,000,000 jet under a 10 year loan agreement. The loanrequires Stroll Inc. to make equal, annual, end-of-year payments that include both principal and interest on the outstanding balance. The interest rate on the loan is 11%. Calculate the amount of these annual payments.Answer:n i PV FV PMT Result10 11 –$2,000,000 0 ? PMT = $339,602.85 8.Herb Flint decides to put $2,000 a year into an IRA fund over his 35 year working life andthen retire. Assume the deposits are made at the end of the year. If the account earns 11% compounded annually, what will Herb have in the account when he retires?Answer:n i PV FV PMT Result35 11 0 ? $2,000 FV = $683,179.119.Regarding retirement funds, there is some debate as to whether investors should invest at thebeginning of the year rather than at the end of the year. If an investor invests $2,000 per year at 12% over a 35 year period, what is the difference between the two funds?Answer: End of Year Fund:n i PV FV PMT Result35 12 0 ? $2,000 PV = $863,326.99Under an immediate annuity the entire amount earns interest for an additional year. So the FV for the immediate annuity is $863,326.99 X 1.12 = $996,926.23.Therefore the difference between the funds is: $996,926.23 – $863,326.99 = $103,599.24 10.You have the chance to buy a bond for $900 that will make one payment of $1,100 six yearsfrom today. What is the internal rate of return in the bond’s cash flows?Answer: 900(1 + i)6 = 1,100(1 + i)6 = 1.222i = (1.222)1/6 - 1i= 3.40%11.Consider the situation where you are trying to decide if you should invest in an Australianproject or an American project. Both projects require an initial outlay of $20,000. TheAustralian project will pay you Aust $40,000 per year for 6 years, whereas the American one will generate $25,000 per year for 6 years. The Australian dollar interest rate is 6% per year and the American interest rate is 5% per year; the current dollar price of an Australian dollar is $0.65 per Australian dollar. Which project has the higher NPV?Answer:American Project:n i PV FV PMT PV Result6 5 ? 0 $25,000 $126,892Australian Project:n i PV FV PMT PV Result6 6 ? 0 $40,000 $196,693 (Aust)NPV US project = $126,892 - $20,000 = $106,892Today the Australian project is worth A$196,693 x $0.65 per Aust= $127,850.45 (in U.S. dollars)NPV Aust project = $127,850.45 - $20,000 = $107,850.45Choose the Australian project since it has a higher NPV.12.If the exchange rate between the U.S. dollar and the Dutch Guilder is $0.49903 per Guilder,the dollar interest rate is 7% per year and the Dutch interest rate is 8% per year, what is the “break-even” value of the future dollar/Guilder exchange rate one year from now?Answer:Today One Year From Now$1 @7% $1.072.00389 Guilders @8% 2.16420 Guilders“Break-even” point = $1.07/2.16420 Guilders= $0.49441 per Guilder13.What is the real rate of interest if the nominal rate is 11.5% per year and the rate of inflationis 7% per year?Answer:Real interest rate = Nominal interest rate – rate of inflation1 + rate of inflation= 0.115 – 0.071.07= 0.04206Real interest rate = 4.21%14.I have $200 today and am interested in finding out what its equivalent real future value willbe in 40 years. What are the two ways I have available to me in computing the real future value?Answer:pute the future value using the real rate of interest.pute the nominal future value using the nominal rate, and then deflate it tofind the real future value.15.The real rate of interest is 3.756%, the nominal rate of interest is 10.5% and the rate ofinflation is 6.5%. What is the real future value of $2,000 in 40 years time? Show bothmethods.Answer:Method One:Real future value = $,2000 x 1.0375640= $8,741Method Two:Nominal future value = $2,000 x 1.10540= $108,522.83Future price level = 1.06540= 12.16Real FV = nominal future valuefuture price level= $108,522.8312.416= $8,74116.As part of your new job at CyberInc. the company is providing you with a new Jeep. Yourfirm will lease this $34,000 Jeep for you. The terms of the lease are seven annual payments at an interest rate of 10%, which will fully amortize the cost of the car. Assuming that allpayments are made on time and no additional money is paid towards the lease in any year, what percent of the 5th payment will go towards repayment of principal?Answer:n i PV FV PMT Result7 10 –$34,000 0 ? PMT = $6,984.39The monthly payment = $6,984.39Of the monthly payment, principal = $5,247% principal repayment in 5th payment =$5,247/$6,984.39= 75.12%17.You have decided to buy a car that costs $35,000. The dealer offers you a 5 year loan withmonthly payments of $814 per month. What is the annual interest rate on the loan?Answer:n i PV FV PMT Result60 ? –$35,000 0 $814 i = 1.165The annual nominal interest rate = 1.165 * 12= 13.98% per year18.A subscription to the magazine “National Tattler” states that you can purchase a one yearsubscription for $45 today, which can be renewed after a year at this rate. Alternately, you can purchase a two year subscription for $80 today. If you wish to subscribe to the magazine for two years and your required rate of return is 9% per year, which subscription offer should you choose?Answer:PV of the two year subscription = $80PV of one year subscription and renewal = $45 + 45/1.09= $86.28The two year subscription is the cheaper alternative.Longer Problems1.Heathcliff is currently 25 years old and expects to retire at age 65. Suppose that Heathclifftakes a job immediately and can earn $35,000 for the remainder of his working life. What is the present value of his future earnings?Answer:n i PV FV PMT Result40 5 ? 0 $35,000 PV = $600,5682.In order to finance your dream home, you are considering borrowing $120,000. The annualpercentage rate is 9% and payments are made annually over 5 years. Construct the loan-amortization schedule for the annual paymentsAnswer:n i PV FV PMT Result5 9 –$120,000 0 ? PMT = $30,856Loan Amortization Schedule is as follows:3.You are 60 years old and are considering whether it pays to buy an annuity from an insurancecompany. For a cost of $25,000, the insurance company will pay you $3,000 per year for the rest of your life. If you can earn 8% per year on your money in a bank account and expect to live until age 80, is it worth buying the annuity? What implied interest rate is the insurance company paying you?Answer: First compute the present value of the annuity.n i PV FV PMT Result20 8 ? 0 $3,000 PV = $29,454.44Now compute the NPV of the investment of the annuity:NPV = $29,454.44 - $25,000= $4,454.44So the annuity looks worth buying.To compute the implied interest rate on the annuity, we need to find the discountrate that makes the NPV zero. On a financial calculator, we find the answer to be10.32% per year.4. Gemma Peel is 30 years today and she wishes to accumulate enough money over the next 35 years to provide for a 20 year retirement annuity of $100,000 at the beginning of each year, starting with her 65th birthday. Assume the rate of the return over the entire period will be 11%. What is the present value of this annuity?Answer:n i PV FV PMT Result20 11 ? 0 $100,000 PV = $883,9295. The exchange rate between the Canadian dollar and the U.S. dollar is currently $0.69190 perCanadian dollar, the dollar interest rate is 6% per year, and the Canadian dollar interest rate is7% per year. You have $100,000 in a one-year account that allows you to choose betweeneither currency and it pays the corresponding interest rate. What is the “break-even” valueof the dollar/Canadian dollar exchange rate one year from now?Answer:U.S. today One year from now$1 @6% $1.06Canadian today One year from now$1.44530(Cdn) @7% $1.54647“Break-even” point = $1.06/1.54647 (Cdn dollar)= $0.68543 per Canadian dollar6.Assume that you have just taken out a $300,000 30 year mortgage with monthly payments atan annual 8 percent rate. At the end of the 3rd year (after 36 payments), you begin paying anadditional $100 each month towards the mortgage. That is, for months 37 onward you makethe scheduled payment plus an extra $100 each month. To the nearest whole number, howmany additional payments (payments in addition to the first 36) must you make before themortgage is paid off?Answer:First compute the monthly payment-PV FV Interest N Result________-300,000 0 0.67 360 360 PMT = $2,201.29Initially, you made $2,201.29 for the first three years. After 36 payments, the remaining balance = $291,840.45. After period 37, compute number of additional payments now that your monthly paymentis $2,301.29.PV FV Interest PMT Result__-$291,840.45 0 0.67 $2,301.29 N = 281You must make 281 additional payments before the mortgage is paid off.7.The company you work for has been experiencing financial difficulties and has just filed areorganization plan. Three years ago, one of the firm’s creditors lent the firm $80,000 on a ten year annual payment loan at a 15% interest rate. Immediately after the firm made the third payment, as a result of the court settlement, the creditor agreed to decrease the current outstanding balance of the loan by 20%, to lower the interest rate to 10%, and to increase the remaining term of the loan to 15 years. What will be the new annual payments on the firm’s loan, assuming all these changes take place?Answer:Under the original plan, your firm had annual payment obligations of:n i PV FV PMT Result10 15 –$80,000 0 ? PMT = $15,940Originally, your firm had to pay $15,940 per year to its creditors.After the third balance, the remaining balance = $66,318Under the new arrangement, new outstanding balance = $66,318 X 0.80= $53,054Under the new payment arrangement, annual payments are:n i PV FV PMT Result15 10 –$53,054 0 ? PMT = $6,975.218.Five banks offer CDs at the following stated annual percentage rates:Bank A: 10% APR compounded annuallyBank B: 9.8% APR compounded semiannuallyBank C: 9.6% APR compounded quarterlyBank D: 9.5% APR compounded monthlyBank E: 9.4% APR compounded dailyAnton has inherited $150,000 and decides to invest the money in a 20 year CD. He decides to invest the money with Bank E. If Anton had invested his money in the CD offering the best rate instead of Bank E, how much more money would he have had after 20 years?Answer:First determine the effective annual rates at each bank.Bank A: Effective Annual Rate = 10% per yearBank B: Effective Annual Rate = 10.04% per yearBank C: Effective Annual Rate = 9.95% per yearBank D: Effective Annual Rate = 9.92% per yearBank E: Effective Annual Rate = 9.85% per yearBest Account = Bank BAfter 20 years, the FV at Bank B:n i PV FV PMT Result20 10.04 –$150,000 ? 0 FV = $1,016,489.49Compare the above with the FV at Bank E after 20 years:n i PV FV PMT Result20 9.85 –$150,000 ? 0 FV = $981,957.03If Anton had invested with Bank B, he would have earned $1,016,489.49 - $981,957.03 = $34,532.46 more.。
兹维博迪金融学第二版试题库13TB(1)
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Chapter ThirteenCapital Market EquilibriumThis chapter contains 43 multiple choice questions, 19 short problems, and 9 longer problems. Multiple Choice1.If one holds a diversified portfolio in which securities are held in the same relative proportions as ina broad market index, this is referred to as ________.(a)eliminating(b)discounting risk(c)indexing(d)capitalizingAnswer: (c)2.The CAPM provides a way of estimating ________ for use in a variety of financial applications.(a)actual rates of return(b)expected rates of return(c)expected standard deviation(d)actual standard deviationAnswer: (b)3.The CAPM may be used to provide ________.(a)inputs to DCF valuation model for stocks(b)inputs to DCF valuation model for bonds(c)estimation of a “fair” rate of return on invested capital(d)both (a) and (c)Answer: (d)13-14.A(n) ________ is a portfolio that holds all assets in proportion to their observed market values.(a)market portfolio(b)riskless portfolio(c)efficient riskless portfolio(d)both (b) and (c)Answer: (a)5.Suppose there are three assets: BB stock, REM stock, and a risk-free asset. The total market values ofeach at current prices are $40 million of BB stock, $80 million of REM stock, and $10 million of the risk-free asset. The composition of the market portfolio is ________.(a)61.5% BB stock; 7.7% REM stock; 30.8% risk-free asset(b)33.33% BB stock; 66.67% REM stock; 0 risk-free asset(c)30.8% BB stock; 61.5% REM stock; 7.7% risk-free asset(d)30.8% BB stock; 66.67% REM stock; 7.7% risk-free assetAnswer: (c)6.Suppose there are three assets: BB stock, REM stock, and a risk-free asset. The total market value ofeach at current prices are $40 million of BB stock, $80 million of REM stock, and $10 million of the risk-free asset. The composition of the risky part of any investor's portfolio will be ________(a)30.8% BB stock; 61.5% REM stock(b)33.33% BB stock; 66.67% REM stock(c)30.8% BB stock; 66.67% REM stock(d)66.67% BB stock; 33.33% REM stockAnswer: (b)7.Suppose there are four securities: BB stock, REM stock, ACX stock, and a risk-free asset. The totalmarket values of each at current prices are $50 million of BB stock, $40 million of REM stock, $80 million of ACX stock, and $30 million of the risk-free asset. The composition of the market portfolio is ________.(a)25% BB stock; 20% REM stock; 40% ACX stock; 30% risk-free asset(b)25% BB stock; 40% REM stock; 40% ACX stock; 15% risk-free asset(c)25% BB stock; 20% REM stock; 40% ACX stock; 15% risk-free asset(d)50% BB stock; 40% REM stock; 80% ACX stock; 30% risk-free assetAnswer: (c)13-213-38. Suppose there are four securities: BB stock, REM stock, ACX stock, and a risk-free asset. The totalmarket values of each at current prices are $50 million of BB stock, $40 million of REM stock, $80million of ACX stock, and $30 million of the risk-free asset. Determine the holdings of the threerisky assets of a trader who invests $60,000 of a $300,000 portfolio in the riskless security.(a) $70,000 in BB stock, $50,000 in REM stock, $120,000 in ACX stock(b) $60,000 in BB stock, $48,000 in REM stock, $96,00 in ACX stock(c) $70,588 in BB stock, $56,471 in REM stock, $112,941 in ACX stock(d) $88,235 in BB stock, $70,588 in REM stock, $141,176 in ACX stockAnswer: (c)9. In the CAPM, the trade-off line is called the ________.(a) capital market line(b) portfolio market line(c) asset market line(d) capital asset lineAnswer: (a)10. The correct equation for the Capital Market Line (CML) is ________.(a) ()M f E r r σσ+=(b) ()()M f f M E r r E r r σσ⎡⎤-=+⎢⎥⎢⎥⎣⎦(c) ()()M f ME r r E r σ-= (d) ()M f M E r r σ=+Answer: (b)11.Investors must be offered an expected rate of return that ________ the risk-free rate of interest whenbeing induced to accept a market portfolio.(a)is less than(b)is the same as(c)exceeds(d)minimizesAnswer: (c)12.The ________ the average degree of risk aversion of the population, the ________ the risk premiumrequired.(a)greater; lower(b)greater; greater the insignificance of(c)lower; higher(d)greater; higherAnswer: (d)13.The slope of the Capital Market Line represents the:(a)volatility of interest rates(b)market reward-to-risk ratio(c)individual risk-to-reward ratio(d)individual preferenceAnswer: (b)14.Suppose the standard deviation of the market portfolio is 0.15 and the average degree of risk aversionis 1.5. Then the risk premium on the market portfolio is:(a)0.034(b)0.051(c)0.225(d)0.340Answer: (a)13-413-515. Suppose the standard deviation of the market portfolio is 0.15 and the average degree of risk aversionis 1.5. If the expected return on the market portfolio is 0.15 per year, what is the slope of the CapitalMarket Line?(a) 0.034(b) 0.180(c) 0.225(d) 0.516Answer: (c)16. Suppose the standard deviation of the market portfolio is 0.25 and the average degree of risk aversionis 3. If the expected return on the market portfolio is 0.24, what is the slope of the Capital MarketLine?(a) 0.1875(b) 0.6912(c) 0.7500(d) 0.7813Answer: (d)17. ________ is a measure of a security’s market-related risk and it tells us how much the security’srate of return tends to change when the return on the market portfolio changes.(a) alpha(b) beta(c) delta(d) gammaAnswer: (b)18. The equation for the Security Market Line (SML) is ________.(a) ()()()j f j f j M f E r r E r r E r r ββ⎡⎤=⨯=⨯-⎣⎦ (b) ()()j f j M f E r r E r r β⎡⎤=+-⎣⎦(c) ()()f j j M f r E r E r r β=⎡⎤-⎣⎦(d) ()()j j M f fE r E r r r β⎡⎤=--⎣⎦Answer: (b)19.If a security is more volatile than the market as a whole, it will have a beta ________, whereas if asecurity is less volatile than the market as a whole, it will have a beta ________.(a)equal to 1; less then 1(b)greater than 2; greater than 1(c)less than 1; greater than 1(d)greater than 1; less than 1Answer: (d)20.If you are examining a stock that has a beta of 2, according to the CAPM, what should be itsexpected rate of return? Let the market risk premium = 0.07.(a)the risk-free rate plus 0.035(b)the risk-free rate plus 0.07(c)the risk-free rate plus 0.14(d)the risk-free rate plus 2.00Answer: (c)21.________ refers to the difference between the average rate of return on a security or a portfolio ofsecurities and its SML relation.a. Alphab. Betac. Deltad. GammaAnswer: (a)22.A beta of 1.5 for a security indicates ________.(a)the security has below average market-related risk(b)the security has no market-related risk(c)the security has above average market-related risk(d)the security has average market-related riskAnswer: (c)13-623.The risk-free rate of return for a security is 6%. The expected return on the market is 13%. What isthe required rate of return for the security if it has a beta of 1.25?(a)22.25%(b)16.25%(c)14.75%(d)8.75%Answer: (c)24.Determine the beta of a portfolio consisting of the following stocks:Security % Invested BetaREM 30% 1.1ACX 20% 0.95BGB 40% 1.2CRY 10% 0.7(a)0.92(b)0.99(c)1.07(d)1.17Answer: (c)25.If the Treasury bill rate is currently 4% and the expected return on the market portfolio for the sameperiod is 13%, determine the risk premium on the market.(a)0.52%(b)8.50%(c)9.00%(d)11.00%Answer: (b)13-726.If the Treasury bill rate is currently 4% and the expected return on the market portfolio for the sameperiod is 13%, what is the equation of the CML if the standard deviation is 0.25?(a)E(r) = 0.04 + 0.36σ(b)E(r) = 0.04+ 0.09σ(c)E(r) = 0.09 + 0.36σ(d)E(r) = 0.09 + 0.16σAnswer: (a)27.Peggy has just been informed that the expected return from her portfolio is 15.5%. If 45% of Peggy'ssecurities have an expected return of 10.8% and 25% have an expected return of 16.5%, what is the expected return of the remaining portion of Peggy's portfolio?(a)21.72%(b)19.55%(c)13.64%(d)6.52%Answer: (a)28.ZB Enterprises pays a current dividend of $1.80 and dividends are expected to grow at a rate of 6%annually in the foreseeable future. ZB Enterprises has a beta of 1.1. If the risk-free rate is 8.5 and the market risk premium is 5%, at what price would a share of ZB stock be expected to sell?(a)$20.50(b)$23.85(c)$32.40(d)$32.90Answer: (b)29.Two industrial firms are considering a merger. Drysler has a beta of 0.95 and Bendz has a beta of1.25. Drysler's stock sells for $25 per share and there are 12 million shares outstanding. Bendz has 3million shares outstanding and its stock sells for $50 per share. What will be the merged firm's beta if the merger is carried out?(a)1.05(b)1.10(c)1.54(d)2.20Answer: (a)13-830.Monet Industries currently does not pay a dividend but expects to pay a dividend of $1.70 next year.Thereafter, the dividend is expected to grow at a rate of 5% per year. The risk-free rate is currently 6% and the expected return on the market portfolio is 12%. What is the price you would expect to pay for a share of Monet today if the beta for this stock is 1.05?(a)$12.50(b)$13.13(c)$23.29(d)$24.45Answer: (c)31.Joe Citizen is considering venturing into the sports utility vehicle field. As a result of such a venture,the beta would increase from 1.07 to 1.15 and the expected growth rate in earnings would increase from 10% to 12%. Determine whether this is a worthwhile venture if Joe also has the followinginformation: the risk-free rate is 6%, the current dividend is $0.95, and the expected return on the market portfolio is 13%.(a)No, it is not worthwhile since there is no change in stock price(b)Yes, it is worthwhile since the stock price increases by $21.96(c)Yes, it is worthwhile since the stock price increases by $29.94(d)No, it is not worthwhile - stock price decreases by $19.12Answer: (b)32.Consider a share of Rooble Less. If it has a beta of 0.7, and we also know that the risk-free rate is 7%,and the expected return on the market portfolio is 15%, what is the required rate of return for a share of Rooble Less stock?(a)10.5%(b)11.9%(c)12.6%(d)17.5%Answer: (c)13-933.Determine the beta of a portfolio containing the following stocks ________.Stock Market Value BetaREM $30,000 0.82Rooble $20,000 0.65Drysler $40,000 1.25Fourx $60,000 1.32Wotan $80,000 1.65(a)0.95(b)1.14(c)1.30(d)5.69Answer: (c)34.Kanga Enterprises stock currently sells for $33 a share and its current dividend is $1.90. Kangaenterprise stock is considered to be twice as volatile than the market as a whole. The expected return on the market portfolio is 14% and the risk-free rate is 6%. If dividends are expected to grow at a constant rate, g%, into the foreseeable future, then calculate this growth rate.(a)15.36%(b)16.24%(c)22.00%(d)26.71%Answer: (a)35.LLJ has a beta of 1.02. If the risk-free rate is 8% and the required return on LLJ’s stock is 16%,what is the required rate of return of the market?(a)12.00%(b)15.84%(c)16.16%(d)16.48%Answer: (b)13-1036.Hulot Corp. has a beta of 1.27. If the risk-free rate is 7.5% and the required return on the market is14%, what is the required return on Hulot stock?(a)8.23%(b)14.00%(c)15.76%(d)21.5%Answer: (c)37.Consider a market portfolio that has a standard deviation of 0.25. The average degree of risk aversionis 1.6. If the expected return on the market portfolio is 0.20, what is the equation for the Capital Market Line?(a)E(r) = 0.10 + 0.10σ(b)E(r) = 0.10 + 0.40σ(c)E(r) = 0.13 + 0.10σ(d)E(r) = 0.13 + 0.40σAnswer: (d)38.According to the CAPM, the risk premium on any asset is equal to ________.(a)its beta(b)its beta times the risk premium on the market portfolio(c)its market risk premium times alpha(d)its market risk premium divided by betaAnswer: (b)39.The market portfolio has a standard deviation of return of 0.22 and the expected return on the marketportfolio is 21%. Calculate the market degree of risk aversion if the risk-free rate of return is 10%.(a)0.50(b)1.41(c)2.27(d)6.40Answer: (c)13-1140.If a portfolio manager can consistently produce a positive alpha, then her performance is consideredto be ________.(a)superior(b)average(c)below average(d)indeterminateAnswer: (a)41.Consider the following information: the risk-free rate is 5% and the expected rate of return on themarket portfolio is 12%. If you have a stock with a beta of 1.50 and you expect it to offer a rate of return of 13%, then you(a)consider it fairly priced(b)sell short the stock because it is overpriced(c)sell the stock because it is fairly priced(d)buy the stock because it is underpricedAnswer: (b)Questions 42 and 43 refer to the following information:Consider a portfolio exhibiting an expected return of 21% in an economy in which the riskless interest rate is 8%, the expected return to the market portfolio is 14%, and the standard deviation of the return to the market is 0.30. Assuming this portfolio is efficient, complete the following problems:42.Determine the beta.(a)0.46(b)0.93(c)2.17(d)3.50Answer: (c)43.Determine the standard deviation of its return.(a)0.13(b)0.65(c)0.70(d)1.39Answer: (b)13-12Short Problems1.Explain the importance of the CAPM as a tool in finance.Answer:(1) It provides a theoretical justification for the practice of passive investing known as indexing.(2) The CAPM provides a way of estimating expected rates of return for uses in financialapplications. Such financial applications include the discounted-cash-flow valuation modelfor stocks and in models used in making capital-budgeting decisions.2.List two assumptions of the CAPM model. How is an investor expected or assumed to behave in theworld of the CAPM model?Answer:(1) Investors have the same expectations or agree in their forecasts of expected rates of return,standard deviations, and correlations of the risky securities, and will therefore hold riskyassets in the same relative proportions.(2) Investors will generally behave optimally. In equilibrium, the prices of securities adjust sothat when investors are holding their optimal portfolios, the aggregate demand for eachsecurity is equal to its supply.3.Suppose there are four securities: Oz stock, Xanadu stock, Ragtime stock, and a risk-free asset. Thetotal market values of each at current prices are $30 billion of Oz stock, $50 billion of Xanadu stock, $90 billion of Ragtime stock, and $30 billion of the risk-free asset.a. Determine the composition of the market portfolio.b. If an investor has a $500,000 portfolio with $90,000 invested in the risk-free asset, determinethe holdings of the three risky assets.Answer:(a) The total market value of all assets is $200 billion.The composition of the market portfolio is therefore 15% Oz stock, 25% Xanadu stock, 45%Ragtime stock, and 15% of the risk-free asset.(b) $72,352.94 in Oz stock, $120,588.24 in Xanadu stock and $217,058.82 in Ragtime stock.13-134.Consider a market portfolio that has a standard deviation of 0.30. The average degree of risk aversionis 2. If the expected return on the market portfolio is 0.25, what is the equation for the Capital Market Line?Answer:E(r M) - r f= 2 x (0.3)2= 0.18r f= 0.25 – 0.18= 0.07The equation for CML:E(r) = 0.07 + 0.60σ5.Apart from portfolio selection, discuss other applications of the CAPM in finance.Answer:Risk premiums derived from the CAPM are used in capital-budgeting decisions of the firm and in discounted cash flow valuation models. The CAPM is also used to establish "fair" rates of return on invested capital in regulated firms and in “cost plus” pricing.6.Two industrial firms are considering a merger. Comdat has a beta of 1.15 and BioTech has a beta of1.95. Comdat's stock sells for $60 per share and there are 6 million shares outstanding. BioTech has 4million shares outstanding and its stock sells for $90 per share. If the merger is carried out, what will be the merged firm's beta?Answer:Comdat's market value = $60 x 6 million= $360,000,000BioTech's market value = $90 x 4,000,000= $360,000,000Comdat weight = 0.5BioTech weight = 0.5Merged beta = (0.5)(1.15) + (0.5)(1.95)= 1.5513-147.Consider a portfolio exhibiting an expected return of 22% in an economy where the riskless interestrate is 7%, the expected return on the market portfolio is 14% and the standard deviation of the return to the market portfolio is 0.18. Assuming that the portfolio is efficient, determine:(a) its beta(b) the standard deviation of its returnAnswer:(a) E(r j) – r f= β[E(r M) – r f]0.22 – 0.07 = β[0.14 – 0.07]2.14 = β(b) Use CML:.22 = 0.07 + [(0.17 – 0.07)/0.18]σ0.3 = σ8.During the most recent 3-year period, Tartar Inc. earned an average annualized rate of return of 14%and had an annualized standard deviation of 20%. The average risk-free rate was 4.5% per year. The average rate of return in the market index over that same period was 10% with a standard deviation of 15%. How well did Tartar Inc. perform on a risk adjusted basis?Answer:Compare their reward-to-risk ratios:Tartar Inc. Market(0.14 – 0.45)/0.2 = 0.475 (0.10 – 0.045)/0.15 = 0.367On a risk adjusted basis, Tartar performed better than the market index.13-159.Joe Citizen is considering venturing into the sports accessories field. As a result of this investment,the beta would increase from 1.02 to 1.20 and the expected growth rate in earnings would increase from 6% to 9%. Determine whether this is a worthwhile venture if Joe also has the followinginformation: the risk-free rate is 4.5%, the current dividend is $1.05, and the expected return on the market portfolio is 12%.Answer:βold = 1.02 βnew = 1.20k old= r f+ βold [E(r M) – r f]= 4.5 + 1.02 [12 – 4.5]= 12.15%P old= $18.10Now look at βnew.k new= r f+ βnew [E(r M) – r f]= 4.5 + 1.20 [12 – 4.5]= 13.50%P new= $25.43Yes, it is a worthwhile venture since the stock price increases by $7.33.10.The market portfolio has a variance of return of 0.16 and the expected return on the market portfoliois 21%. Calculate the market degree of risk aversion if the risk-free rate of return is 10%.Answer:E(r M) – r f = Aσ20.18 – 0.10 = A(0.035)23.125 = A13-1611.Consider the following information: the risk-free rate is 5%, and the expected rate of return on themarket portfolio is 18%. If you have a stock with a beta of 1.5, and you expect it to offer a rate of return of 13%, what should you do?Answer:Look at: E(r j) = r f+ β(E(r M) – r f)= 0.05 + 1.5(0.12 – 0.05)= 15.5%You expect the stock to offer 13%. Since this is below the SML, its expected return is too low to support equilibrium.12.If the Treasury bill rate is currently 5%, and the expected return to the market portfolio over the sameperiod is 14%, determine the risk premium on the market. If the standard deviation of the return on the market is 0.25, what is the equation of the Capital Market Line?Answer:Market risk premium = 14% – 5%= 9%CML equation:E(r) = 0.05 + 0.09/0.25σ= 0.05 + 0.36σ13.If the Treasury bill rate is currently 6 %, and the expected return to the market portfolio over thesame period is 15%, determine the risk premium on the market. If the standard deviation of the return on the market is 0.4, what is the equation of the Capital Market Line?Answer:Market risk premium = 15% – 6= 9%CML equation:E(r) = 0.06 + 0.09/0.4σ= 0.06 + 0.225σ13-1714.Consider a portfolio exhibiting an expected return of 20% in an economy in which the risklessinterest rate is 6%, the expected return to the market portfolio is 12%, and the standard deviation of the return to the market is 0.25. Assuming this portfolio is efficient, determine:(i)its beta(ii)the standard deviation of its returnAnswer:(i) E(r j) – r f= β[E(r M) – r f]0.20 – 0.06 = β[0.12 – 0.06]2.33 = β(ii) Use CML:.20 = 0.06 + [(0.12 – 0.06)/0.25]σ0.583 = σ15.Consider a market portfolio that has a standard deviation of 0.35. The average degree of risk aversionis 1.5. If the expected return on the market portfolio is 0.23, what is the equation for the Capital Market Line?Answer:E(r m) - r f= 1.5 x (0.35)2= 0.1838r f= 0.23 – 0.1838= 0.0462E(r) = 0.0462 + 0.1838/0.35σThe equation for the CML is:(r) = 0.0462 + 0.525σ13-1816.Roland Corporation’s stock recently paid a dividend of $2.50 per share (D0 = $2.50). The companyhas a constant growth rate of 5% and a beta equal to 1.5. The rate of return on the market portfolio is 15%, and the risk-free rate is 7%. Roland is considering a change in policy that will increase its beta coefficient to 1.75. If market conditions remain unchanged, what new constant growth rate will cause the price of Roland stock to remain unchanged?Answer:k = r f + β[E(r M) - r f]= 7 + 1.5(15 – 7)= 19%Current stock price, P o = D o (1+g)/(k-g)= 2.50(1.05)/(0.19 – 0.05)= $18.75After policy change, β = 1.75New k = 21%For stock price to be unchanged:$18.75 = $2.50(1+g)/(0.21 – g)solve for g:g = 6.76%17.An all equity firm, Lyrebird Futures Inc. is considering the creation of a new division which willincrease the assets of the firm from $2,000,000 to $4,000,000 (that is, by 100%). Lyrebird currently has a required rate of return of 17%, the risk-free rate is 7%, and the return on the market portfolio is 16%. Lyrebird wants to reduce its required rate of return to 13%. What is the maximum betacoefficient the new division could have?Answer:Solve for current beta:17 = 7 + β(16 – 7)βcurrent = 1.11If the required return is to equal 13%, then recalculate beta.13 = 7 + β(16 – 7)β = 0.67Lyrebird will have created two new divisions of equal weight.0.5(1.11) + 0.5(βnew) = 0.67βnew= 0.2313-1918.An all equity firm, Rush Inc., has been growing at a 15% annual rate and is expected to do so for thenext three years. After year 3, dividend growth is expected to slow to a constant 6% rate. Currently, the firm maintains a 40% payout ratio, and this year’s retained earnings net of dividends was $1.8 million. The market risk premium is 7.5%, the risk-free rate is 8%, the beta is 1.55 and the firm has 1,500,000 shares outstanding. Given this information, what is the market value of the firm’scommon equity?Answer:k = 8 + 1.55(7.5) = 19.625%D o = ($1,800,000/0.6) x 0.4 = $1,200,000D1 = $1,380,000D2 = $1,587,000D3 = $1,825,050D4 = $1,934,553P3 = D4/(0.19625 – 0.06)= $14,198,554P o = $12,935,78013-2019.The returns of TNJ Inc. are displayed below, along with the returns on the market .Year TNJ Market1 –14% –122 16 93 21 154 4 15 –6 –26 2 –1If the risk-free rate is 7.5%, and the required rate of return on TNJ’s stock is 17 %, what is the required rate of return on the market?Answer:To calculate beta, use either a spreadsheet or financial calculator.β = 1.28 (to 2 decimal places)Substitute beta into SML to solve for E(r M)k = r f+ β[E(r M) – r f]17% = 7.5 + 1.28(E(r m) – 7.5)E(r M) = 14.92%13-21Longer Problems1.Wotan Industry stock currently sells for $45 a share and its current dividend is $2.20. Wotan Inc. isconsidered to be 40% more volatile than the market as a whole. The expected return on the market portfolio is 13% and the risk-free rate is 5%. If dividends are expected to grow at a constant rate, g% per year, into the future, then calculate the growth rate.Answer:To solve for g, use the dividend discount valuation model:To solve for k, use the SML formula.k = r f + β [E(r M) – r f]= 5 + 1.40 [13 – 5]k = 16.2%Now substitute k into DDM model.45(0.162 - g) = 2.20(1+g)7.29 – 45g = 2.20 + 2.20g47.2g = 5.09g = 10.8%The growth rate is 10.8%2.Consider a portfolio exhibiting an expected return of 21% in an economy where the riskless interestrate is 6%, the expected return on the market portfolio is 15%, and the corresponding standarddeviation is 0.19. Assuming that the portfolio is efficient, determine:(a) its beta(b) the standard deviation of its returnAnswer:(a) E(r j) – r f = β[E(r M) – r f]0.21 – 0.06 = β[0.15 – 0.06]β= 1.67(b) Use CML:0.21 = 0.06 + [(0.15 – 0.06)/0.19]σσ = 0.3213-223.Lenny's Leftorium (LL) is a store that has no long term debt in its capital structure. However, LL iscurrently considering an expansion project that will yield the following net cash flows:Year NCF0 –$1.2 million1 $700,0002 $810,0003 $860,0004 $920,0005 $940,000If the current risk-free rate is 4.5% and the current market risk premium is 7.2% and its beta is 15% more volatile than the market as a whole, should LL undertake the expansion project?Answer:First of all, compute cost of capital. Since LL is 100% equity financed,k = k e.k = r f + β[E(r M) – r f]= 4.5 + 1.15(7.2)k = 12.78%NPV = $1,740,880Yes, the project is worthwhile.13-234.Kanga Inc. is considering investing $8 million in computer equipment that is expected to have auseful life of 4 years, and is expected to reduce the firm's labor costs by $3 million per year. Assume that Kanga Inc. pays a 35% tax rate on accounting profits and uses the straight-line depreciation method. What is the after tax cash flow from the investment in years 1 through 4? If the firm's beta is1.25 and we also know that the current risk-free interest rate is 5%, the expected return on the marketportfolio is 14%, is the project worthwhile? Also assume Kanga Inc. has no long term debt.Answer:Increase in after tax cash flow = Increase in before tax cash flow –increase in taxes= $3 million – (3 – 2 million)(0.35)= $2.65 millionWe now need k, cost of capital.Use CAPMk = r f+ β[E(r M) – r f]= 5 + 1.25 [14 – 5]k = 16.25%NPV = PV – Initial OutlayUse k = 16.25% in calculations.NPV = –$621,674IRR = 12.29%Based on NPV and IRR, the project does not seem worthwhile.13-245.Barramundi Inc. stock is currently selling at $40 per share (its equilibrium price). The firm’slong-term growth is expected to remain 7% per year forever. Last year’s EPS were $4, and the dividend payout ratio is 50%. The risk-free rate is 8%, and the market risk premium is 6%. If beta increases by 50%, by how much will the stock price change? (Assume all other factors remain constant).Answer:First solve:P o = D o(1 + g)/(k – g)40 = 2.14/(k – 0.07)= 12.35%Solv e SML for β: 12.35 = 8 +β(6)β = 0.725New β = 0.725(1.5)= 1.0875New k = 8 + 1.0875(6)= 14.525New P o = 0.5($4)(1.07)/(0.14525 – 0.07)= $28.44The price would drop by approximately $11.5613-25。
博迪《金融学》第2版课后习题及详解(金融学)【圣才出品】
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博迪《金融学》第2版课后习题及详解第1章金融学一、概念题1.金融学(finance)答:金融学是一项针对人们怎样跨期配置稀缺资源的研究。
其主要研究货币领域的理论及货币资本资源的配置与选择、货币与经济的关系及货币对经济的影响、现代银行体系的理论和经营活动的经济学科,是当代经济学的一个相对独立而又极为重要的分支。
金融学所涵盖的内容极为丰富,诸如货币原理、货币信用与利息原理、金融市场与银行体系、储蓄与投资、保险、信托、证券交易、货币理论、货币政策、汇率及国际金融等。
2.金融体系(financial system)答:金融体系是金融市场以及其他金融机构的集合,这些集合被用于金融合同的订立以及资产和风险的交换。
金融体系是由连接资金盈余者和资金短缺者的一系列金融中介机构和金融市场共同构成的一个有机体,包括股票、债券和其他金融工具的市场、金融中介(如银行和保险公司)、金融服务公司(如金融咨询公司)以及监控管理所有这些单位的管理机构等。
研究金融体系如何发展演变是金融学科的重要方面。
3.资产(assets)答:资产是指个人、公司或者组织拥有的具有商业或交换价值的任何物品,它能在未来产生经济利益,资产有三个非常重要的特征:①能在未来产生经济利益;②由实体控制;③由过去发生的事项或交易产生。
在国民账户体系中,资产是指经济资产,即所有者能对其行使所有权,并在持有或使用期间可以从中获得经济利益的资源或实体。
资产可分为金融资产和非金融资产两大类。
金融资产是指以价值形态或以金融工具形式存在的资产,它包括金融债权以及货币黄金和特别提款权。
非金融资产是指非金融性的资产,它包括生产资产和非生产资产。
在企业财务会计中,资产是指由过去的交易和事项所形成的,并由企业拥有或控制,预期会给企业带来经济利益的资源。
按流动性可分为流动资产和非流动资产两大类。
流动资产是指企业可以在一年或超过一年的一个营业周期内变现或者耗用的资产。
非流动资产是指不能在一年或者超过一年的一个营业周期内变现或耗用的资产。
博迪《金融学》第2版课后习题及详解(居民户的储蓄和投资决策)【圣才出品】
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博迪《⾦融学》第2版课后习题及详解(居民户的储蓄和投资决策)【圣才出品】博迪《⾦融学》第2版课后习题及详解第5章居民户的储蓄和投资决策⼀、概念题1.⼈⼒资本(human capital)答:⼈⼒资本是指劳动者受到教育、培训、实践经验、迁移、保健等⽅⾯的投资⽽获得的知识和技能的积累,亦称“⾮物⼒资本”。
由于这种知识与技能可以为其所有者带来⼯资等收益,因⽽形成了⼀种特定的资本——⼈⼒资本。
任何使⼈⼒资本增值的活动都是⼈⼒资本投资,包括医疗和保健、在职⼈员培训、正规教育、成⼈教育与培训、迁移者⼯作搜寻等等。
⼈⼒资本投资的决策是⼀种收益与成本的权衡,其成本包括:实际的费⽤或直接的费⽤、放弃的⼯资报酬以及⼼理成本。
投资的预期收益可能是以各种形式表现出来的,⽐如较⾼的未来收⼊、终⾝⼯作满意程度的提⾼、对娱乐活动欣赏⽔平的提⾼以及欣赏兴趣的增长等。
2.永久性收⼊(permanent income)答:永久性收⼊是指消费者可以预期到的长期收⼊,即预期在较长时期中(3年以上)可以维持的稳定的收⼊流量。
永久性收⼊是弗⾥德曼持久收⼊假说中的重要概念,⼤致可以根据所观察到的若⼲年收⼊的数值的加权平均数来计算,估算持久收⼊的计算公式为:YP T=Y T-1+θ(Y T-Y T-1)=θY T-(1-θ)Y T-1(0<θ<1)式中,YP T为现期永久性收⼊,Y T为现期收⼊,Y T-1为前期收⼊,θ为加权数。
该公式说明,现期的永久性收⼊等于前期收⼊和两个时期收⼊变动的⼀定⽐率,或者说等于现期收⼊和前期收⼊的加权平均数。
加权数的⼤⼩取决于⼈们对未来收⼊的预期,这种预期要根据过去的经验进⾏修改,称为适应性预期。
如果⼈们认为前期和后期收⼊变动的时间较长,θ就⼤;反之,前期和后期收⼊变动的时间较短,θ就⼩。
3.跨期预算约束(inter-temporal budget constraint)答:跨期预算约束是指决定⼀⽣消费计划时⾯临的约束条件,即⼀⽣的消费开⽀和遗产的现值等于包括初始财产和未来劳动收⼊在内的⼀⽣资源的现值。
金融学第1、2章金融学 (第二版 兹维.博迪 罗伯特C默顿等著)
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2.3.5 功能5 :提供信息
金融体系可以提供有助于在不同经济部门中协调分 散性决策的价格信息。 如:你和你姐姐继承了一个家族的企业,并且它将 在你们之间平均分配。你们并不希望出售它,因为 你们中的一位希望继续经营该企业。另一位应当获 得多少?显然,了解类似资产的市场价格横了另一 位获得多少是非常有用的。
学习曲线(the learning curve),也称为经验曲线,体现了 熟能生巧。学习曲线是分析采购成本、实施采购降价的 一个重要工具和手段。一个人随着经验的积累会越来越 熟练,学习曲线提供了使这个原理定量化的分析框架。
公司组织形式怎样为这种分离提供便利?
答:由于公司形式可以在不影响企业运作的 条件下,通过股份转让使所有者相对频繁的 变更成为可能,因此尤其适合所有者与管理 者的分离。
如:德国公民投资于位于俄罗斯的公司所发心的股 票;德国银行向俄罗斯企业提供贷款。
2.3.2 功能2:管理风险
金融体系提供了管理风险的途径,就像资金通过金 融体系转移,风险也可以通过金融体系进行转移。 如:你需要10万美元开办一家企业,但你没有钱,那 么你就是一个资金赤字单位。你需要说服一位投资 者(资金盈余单位)提供7万美元换取公司75%的 利润份额,同时你说服一家银行(金融中介)贷3 万元给你。于是,风险就从你那里转移到了投资者 和银行身上。
收购如何起到市场性管束的作用?
无论管理混乱的根源是管理者不称职还是管理者 对不同目标的追求,收购机制都可以将其矫正。 这个作用就像市场对经济的资源配置的作用是一 样的。
博迪《金融学》第2版课后习题及详解
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博迪《金融学》第2版课后习题及详解博迪的《金融学》第2版是一本广泛使用的金融学教材,其中的课后习题对于学生理解和掌握金融学概念和理论具有重要意义。
本文将选取一些具有代表性的课后习题,并提供详细的解答和分析。
答:金融学是一项针对人们怎样跨期配置稀缺资源的研究。
它涉及货币、投资、证券、银行、保险、基金等领域,主要研究如何在不确定的环境下对资源进行跨时期分配,以实现最大化的收益或满足特定的目标。
金融体系(financial system)答:金融体系是金融市场以及其他金融机构的集合,这些集合被用于金融合同的订立以及资产和风险的交换。
它是由连接资金盈余者和资金短缺者的一系列金融中介机构和金融市场共同构成的一个有机体,包括股票、债券和其他金融工具的市场、金融中介(如银行和保险公司)、金融服务公司(如金融咨询公司)以及监控管理所有这些单位的管理机构等。
研究金融体系如何发展演变是金融学科的重要方面。
假设某个投资者在2022年购买了一张面值为1000元,年利率为5%的债券,并在2023年以1100元的价格卖出。
请问该投资者的年化收益率是多少?(1100 - 1000) / 1000 × 100% = 10%其中,分子部分为投资者获得的收益,分母部分为投资者的初始投资金额。
答:现代金融学的三个主要理论包括资本资产定价模型(CAPM)、有效市场假说(EMH)和现代投资组合理论(MPT)。
资本资产定价模型(CAPM)是一种用来决定资产合理预期收益的模型,它认为资产的预期收益与该资产的系统性风险有关。
在投资决策中,投资者可以通过比较不同资产的预期收益与其系统性风险来确定最优投资组合。
有效市场假说(EMH)认为市场是有效的,即市场上的价格反映了所有可用信息。
根据这个理论,投资者无法通过分析信息来获取超额收益。
然而,在实践中,许多研究表明市场并非完全有效,投资者可以通过分析和利用信息来获得超额收益。
现代投资组合理论(MPT)是由Harry Markowitz于20世纪50年代提出的,它认为投资者应该通过多元化投资来降低风险。
兹维博迪金融学第二版试题库1TB(1)
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Chapter OneFinancial EconomicsThis chapter contains 48 multiple choice questions, 20 short problems and 5 longer problems.Multiple Choice1.The primary goal of corporate management is to ________ shareholder wealth.(a)minimize(b)maximize(c)leverage(d)mitigateAnswer: (b)2. A ________ stock market imposes ________ discipline on managers to take actions to maximize themarket value of the firm’s shares.(a)competitive, strong(b)dispersed, weak(c)mature, no(d)dispersed, strongAnswer: (a)3. The ________ form is especially well suited to the separation of ownership and management of firms because it allows relatively frequent changes in owners by share transfer without affecting the operations of the firm.(a)corporate(b)sole proprietorship(c)partnership(d)householdAnswer: (a)4. ________ is anything that has economic value.(a)A partnership(b)An asset(c)A balance sheet(d)An income statementAnswer: (b)5. A household’s wealth or net worth is measured by the value of its ________ minus its ________.(a)liabilities; assets(b)assets; liabilities(c)stocks; bonds(d)bonds; liabilitiesAnswer: (b)6. The branch of finance dealing with financial decisions of firms is called ________ or ________.(a)investments; international finance(b)markets; institutions(c)business finance; institutions(d)business finance; corporate financeAnswer: (d)7. Bonds promise ________ cash payments, while stocks pay the ________ value left over after all other claimants have been paid.(a)variable; residual(b)residual; fixed(c)fixed; residual(d)fixed; variableAnswer: (c)8. The day-to-day financial affairs of the firm are usually referred to as ________.(a)working capital management(b)capital structure(c)capital budgeting(d)strategic planningAnswer: (a)9. A disadvantage of the sole proprietorship is the fact that the sole proprietor has ________.(a)limited liability for the debts of the firm(b)unlimited liability for the debts of the firm(c)expensive costs to establish the firm(d)limited authority over the day-to-day business decisions of the firmAnswer: (b)10. In the U.S. corporations with concentrated ownership are called ________ and corporations with broadly dispersed ownership are called ________.(a)private corporations; public corporations(b)public corporations; private corporations(c)public corporations; monopolies(d)private corporations; state owned corporationsAnswer: (a)11. Billy owns a house worth $350,000 and has a $55,000 bank account. Billy owes $270,000 to the bank on a home mortgage loan and has a $12,000 credit card debt outstanding. Calculate Billy’s net worth.(a)$135,000(b)$123,000(c)$497,000(d)$37,000Answer: (b)12. Marlowe owns a house worth $150,000, a car worth $25,000 and has an $18,000 bank account. Marlowe owes $135,000 to the bank on a home mortgage loan, $18,000 on the car loan and has an $18,000 credit card debt outstanding. Calculate Marlowe’s net worth.(a)$58,000(b)$123,000(c)$22,000(d)$37,000Answer: (c)13. An advantage of the corporate form of ownership is ________.(a)no liability(b)unlimited liability(c)limited liability(d)CEO liabilityAnswer: (c)14. In the corporate form, the separated structure creates the potential for ________ between owners and managers.(a)a conflict of interest(b)increased transactional costs(c)stability in relations(d)none of the aboveAnswer: (a)15. All of the following are reasons for having a separation of management and ownership of the firm except:(a)the “going concern” effect favors the separated structure(b)professional managers may be found who possess a superior ability to run the business(c)it prevents the possibility of a conflict of interest between the owners and management(d)it allows for savings in the cost of information gatheringAnswer: (c)16. ________ involves the evaluation of costs and benefits spread out over time, and it is largely a financial decision-making process.(a)Stock valuation(b)Bond valuation(c)Inventory costing(d)Strategic planningAnswer: (d)17. Shareholder wealth maximization depends on all of the following except:(a)production technology(b)market interest rates(c)risk aversion(d)market risk premiumsAnswer: (c)18. A problem with using the profit maximization criterion is ________.(a)deciding which period’s profit is to be maximized(b)the definition of “maximize profits” is ambiguous(c)the failure to consider risk(d)all of the aboveAnswer: (d)19. The existence of a well functioning stock market facilitates the efficient separation of the ownership and management of firms, since stock prices can be substituted for external information about ________.(a)the firm’s production technology(b)the wealth, preferences, and other investment opportunities of the owners(c)the historic costs of the firm’s infrastructure(d)the firm’s ability to meet its projected goalsAnswer: (b)20. One place to look for a statement of the goals of a corporation’s top managers is the ________.(a)balance sheet(b)income statement(c)annual report(d)bankruptcy filingAnswer: (c)21. In the absence of a stock market, managers would require information that is ________ to obtain.(a)costly if not impossible(b)costless(c)readily available(d)time-consuming but inexpensiveAnswer: (a)22. Management’s task is made much easier when it can observe the ________ of its own and other firms’ shares.(a)book prices(b)market prices(c)historical prices(d)security pricesAnswer: (b)23. ________ are entitled to a share of any of the distributions from the corporation such as cash dividends.(a)Sole proprietors(b)General partners(c)Professional managers(d)ShareholdersAnswer: (d)24. ________ is the founder of modern portfolio theory.(a)Harry Markowitz(b)Merton Miller(c)William Sharpe(d)Bill GatesAnswer: (a)25. In Germany, public corporations are identifiable by ________ after the company name, whereas private companies are denoted by ________.(a)PLC, Inc.(b)GmbH, AG(c)AG, GmbH(d)SpA, GmbHAnswer: (c)26. In the United Kingdom, public corporations are identifiable by ________ after the company name, whereas private companies are denoted by ________.(a)Inc, PLC(b)LTD, PLC(c)AG, GmbH(d)PLC, LTDAnswer: (d)27. Shareholders elect ________ who in turn select ________ to run the business.(a)a board of directors; a treasurer(b)a board of directors; managers(c)managers; a board of directors(d)a board of directors; accountantsAnswer: (b)28. In a competitive stock market, ________ offer(s) another important mechanism for aligning the incentives of managers with those of shareholders.(a)takeovers(b)increased taxes(c)liquidation(d)increased liabilityAnswer: (a)29. If a raider is interested in making a profit through the takeover of a prospective firm, the only expenses that need be incurred are ________.(a)the cost of identifying a mismanaged firm(b)the cost of acquiring the firm’s shares(c)physical capital(d)both (a) and (b)Answer: (d)30. The cost of identifying a mismanaged firm can be low if the raider is which of the following:(a)a supplier(b)a customer(c)a competitor(d)all of the aboveAnswer: (d)31. Takeover mechanisms can most effectively be reduced by ________.(a)directives from the board of directors(b)media intervention(c)government policies(d)public disapprovalAnswer: (c)32. The chief financial officer (CFO) of a corporation normally reports to the ________ of the company.(a)controller(b)treasurer(c)chief executive officer(d)chairman of the board of directorsAnswer: (c)33. All of the following departments typically report to the chief financial officer (CFO) except:(a)marketing(b)financial planning(c)treasury(d)controlAnswer: (a)34. The treasurer’s job includes managing all of the following except:(a)the firm’s exposure to currency and interest rate risks(b)the tax department(c)relations with the external investment community(d)the analysis of proposed mergers and acquisitionsAnswer: (d)35. The activities of the vice president for financial planning include all of the following except:(a)analyzing proposed mergers(b)analyzing proposed spin-offs(c)preparing internal reports comparing planned and actual costs(d)analyzing major capital expendituresAnswer: (c)36.Which of the following statements is most correct?(a)The shareholders of a corporation elect managers who in turn select a board of directors torun the business.(b)Partnerships do not pay corporate tax.(c) A disadvantage of the corporation is unlimited liability.(d)The government is powerless to discourage corporate takeovers.Answer: (b)37.For a typical firm, which of the following statements is most correct?(a)The CFO has three departments reporting to him: financial planning, treasury and control.(b)The treasurer oversees the accounting and auditing activities of the firm.(c)The controller has responsibility for managing the financing activities of the firm and forworking capital management.(d)The CEO is a senior vice president with responsibility for all the financial functions in thefirm.Answer: (a)38.Which of the following are financial decisions a firm has to make?(a)financing decisions(b)capital budgeting decisions(c)working capital decisions(d)all of the aboveAnswer: (d)39.The controller’s job includes responsibility for ________.(a)relations with the external investment community(b)preparation of financial statements for use by shareholders, creditors and regulatoryauthorities(c)analysis of proposed mergers, acquisitions and spin-offs(d)all of the aboveAnswer: (b)40.The basic unit of analysis in capital budgeting is the ________.(a)financing project(b)investment project(c)strategic project(d)variable projectAnswer: (b)41.The steps involved in any capital budgeting process include:(a)evaluating projects(b)deciding which projects to undertake(c)identifying ideas for new investment projects(d)all of the aboveAnswer: (d)42.Preferred stock, bonds, and convertible securities are also known as ________.(a)nonmarketable claims(b)standardized securities(c)variable securities(d)covenantsAnswer: (b)43.The basic unit of analysis in capital structure decisions is the ________.(a)firm as a whole(b)investment project(c)firm’s personnel(d)financial systemAnswer: (a)44.Which one of the following correctly orders the steps involved in capital structure decisions?(a)determining a feasible financing plan; identifying new ideas for investment projects(b)determining the optimal financing mix; determining a feasible financing plan(c)identifying ideas for investment projects; determining the optimal financing mix(d)determining a feasible financing plan; determining the optimal financing mixAnswer: (d)45.Which of the following is not a financial function of a corporation?(a)investor relations(b)tax administration(c)provision of capital(d)regulatory legislationAnswer: (d)46.Which of the following functions may be categorized as administration of funds?(a)custodial responsibilities(b)tax administration(c)internal auditing(d)all of the aboveAnswer: (a)47.Investor relations includes:(a)government reporting(b)establishment and maintenance of communications with company stockholders(c)relations with taxing agencies(d)consultation with and advice to other corporate executivesAnswer: (b)48.Oscar owns a boat worth $2 million, a house worth $lion and has $900,000 in a bank account.Oscar owes $1.1 million to the bank on the boat loan, $2 million on the home loan and has $20,000 credit card debt. Calculate Oscar’s net worth.(a)$3.12 million(b)$5.28 million(c)$7.28 million(d)$8.4 millionAnswer: (b)Short Problems1.Give a brief definition of the financial system.Answer: A financial system is defined as the set of markets and other institutions used for financial contracting and the exchange of assets and risks.2.List the markets that the financial system likely includes.Answer: A financial system includes the markets for stocks, bonds and other financial instruments, financial intermediaries, financial service firms and the regulatory bodies that govern all of these institutions.3.Briefly describe the distinction between physical capital and financial capital.Answer: Physical capital includes items such as buildings, machinery and other intermediate products used in the production process. Financial capital, however, includes stocks, bonds and loans used to finance the acquisition of physical capital.4. Give a brief description of the wide range of financial instruments and claims a firm can issue. Answer: These include common stock, preferred stock, bonds and convertible securities (standardized securities that can be traded in organized markets). Financial instruments and claims can also include nonmarketable claims such as bank loans, employee stock options, leases and pension liabilities.5.Siggy owns a house worth $200,000, a car worth $25,000 and has an $18,000 bank account. He alsohas furniture worth $4,000 and jewelry worth $10,000. However, Siggy owes $145,000 to the bank on a home mortgage loan, $17,000 on the car loan, $40,000 on student loans and has an $16,000 credit card debt outstanding. Calculate Siggy’s net worth.Answer: Net Worth = Total Assets – Total Liabilities= ($200,000 + $25,000 + $18,000 + $4,000 + $10,000) –($145,000 + $17,000 + $40,000 + $16,000)= $39,0006.Briefly list the problems associated with profit maximization as the chief goal of corporate managers. Answer: The profit-maximization criterion has two problems associated with it. The first is that it is difficult to determine which period’s profit is to be maximized if the production process requires many periods. Secondly, if either future revenues or expenses are uncertain, then what exactly is the meaning of “maximize profits” if profits are described by a probability distribution?7.Kecia owns a house worth $220,000, a car worth $20,000 and has a $13,000 bank account. She alsohas furniture worth $8,000. However, Kecia owes $165,000 to the bank on a home mortgage loan, $17,000 on the car loan, $50,000 on student loans and has an $18,000 credit card debt outstanding.Calculate Kecia's net worth.Answer: Net Worth = Total Assets – Total Liabilities= ($220,000 + $20,000 + $13,000 + $8,000) –($165,000 + $17,000 + $50,000 + $18,000)= $261,000 - $250,000= $11,0008.Give an example of a potential conflict of interest that can arise between owners and managers of afirm.Answer: Managers being concerned with their own personal welfare may lead to concern about job security in the long run. This concern about long run survival may cause managers to limit the risk incurred by the firm and make other decisions not with the objective of shareholder wealth maximization.9.What use does the existence of a stock market serve to the manager of a firm?Answer: Observing its own and other firms’ market price of shares helps it make decisions about maximizing the firm’s value to its shareholders. If there was not a stock market, then managers would be required to obtain information that is costly, if not impossible, to obtain. This includes the wealth, preferences and other investment opportunities of the owners.10.Outline the role of the takeover in aligning the incentives of managers with those of shareholders. Answer: The threat of a takeover provides a strong incentive for current managers to act in the interests of the firm’s current shareholders by maximizing market value. If managers fail to maximize the market value of the firm’s shares, the firm will be vulnerable to a takeover in which the managers may lose their jobs.11.Outline the role of the chief financial officer (CFO) in a corporation.Answer: The CFO is a senior vice president with responsibility for all the financial functions in the firm and reports directly to the CEO. Three departments report to the CFO: financial planning, treasury, and control.12.Discuss the role of the treasurer in a corporation.Answer: The treasurer has responsibility for managing the financing activities of the firm and for working capital management. The treasurer is responsible for managing relations with the external investor community, managing the firm’s exposure to currency and interest rate risks, and managing the tax department.13. Discuss the tasks performed by the controller of a corporation.Answer: The controller oversees the accounting and auditing tasks of the firm. The controller is responsible for the preparation of internal reports comparing planned and actual costs, revenues, and profits from the corporation’s various business units. The controller will also be involved with preparation of financial statements for use by shareholders, creditors and regulatory authorities.14. Discuss why voting rights for shareholders are not adequate to compel managers to act in the bestinterests of the shareholders.Answer: Because a major benefit of the separated structure is that the owners can remain relatively uninformed about the operations of the firm, it is not apparent how these owners could know whether their firm is being mismanaged. The value of voting rights is further cast into doubt if ownership of the firm is widely dispersed. If that is the situation, then the holdings of any single owner are likely to be so small that he or she would not incur the expense to become informed and to convey this information to the other owners.15.Is it possible for government to reduce the effectiveness of the takeover mechanism?Answer: Yes. It is possible for government policy to prevent the formation of monopolies in various product markets – as in the case of the United States Department of Justice, which can take legal action under the antitrust laws to prevent mergers and acquisitions that might reduce competition.16.In terms of the financial functions of a corporation, what responsibilities do administration of fundsentail?Answer: Management of cash; maintenance of banking arrangements; receipt, custody and disbursementof the company’s monies and securities; credit and collection management; management of pensionfunds; management of investments and custodial responsibilities.17.Discuss the liability a partnership faces.Answer: Unless otherwise specified, all partners have unlimited liability as in the sole proprietorship.However, it is possible to limit the liability for some partners called “limited partners”. At least one ofthe partners, called the general partner, has unlimited liability for the debts of the firm.18.Describe the advantages of the corporate form of business organization.Answer: The corporate form of ownership has the advantage that ownership shares can usually betransferred without disrupting the business. Limited liability is also another advantage of the corporateform. In this case, if the corporation fails to pay its debts, the creditors can seize the assets of thecorporation but have no recourse to the personal assets of the shareholders.19.Briefly outline the process of capital budgeting.Answer: The process of capital budgeting includes identifying ideas for new investment projects,evaluating them, deciding which ones to undertake, and then implementing them.20.Briefly discuss the process of working capital management.Answer: Working capital management refers to the day-to-day financial affairs of the business, such aswhether to extend credit to customers or demand cash on delivery or managing cash flow.Longer Problems1.Describe the four basic types of financial decisions faced by householders.Answer: Investment decisions – whether to invest in stocks or bondsConsumption/Savings Decisions – how much to save for one’s retirement or a child’s educationRisk management decisions – whether to buy disability insuranceFinancing decisions – what type of loan to adopt in order to finance the purchase of a homeorcar.2.Give a brief description of each of the four main areas of financial decision-making in a business.Answer: Strategic Planning: Evaluating the costs and benefits associated with the firm’sbusiness line, which may change over time.Capital Budgeting: Identifying ideas for new investment projects, evaluating them,deciding which ones to undertake, and then implementing them.Capital Structure: The initial step is deciding upon a feasible financing plan for the firm.The next decision involves the optimal debt/equity mix to use.Working Capital Management: The day-to-day affairs of the business. This includespaying bills as they come due, collecting from customers, managing the firm’s cashflows to ensure that operating cash flows deficits are financed and that cash flowsurpluses are efficiently invested to earn a good return.3.Explain the five basic reasons for separating the management from the ownership of an enterprise.Answer:•Professional managers may be found who have a superior ability to run the business.•To achieve the efficient scale of a business the resources of many households may have to be pooled.•In an uncertain economic environment, owners will want to diversify their risks across many firms.•The separated structure allows for savings in the costs of information gathering.•There is a “learning curve” or “going concern” effect, which favors to separated structure.4.Discuss the types of decisions that firms must make.Answer: Capital budgeting decisions – whether to build a new plant or produce a new product.Financing decisions – how much equity and how much debt a firm should adopt in its capital structure.Working Capital decisions – whether credit should be extended to a customer or cashdemanded on delivery.5.Outline the roles of the three departments that report to the Chief Financial Officer.Answer: Treasury: This department is responsible for managing the financing activitiesof the firm and for working capital management. This includes managing relations with theexternal investment community, managing the firm’s exposure to currency and interest raterisks, and managing the tax department.Financial Planning: This department is responsible for analyzing major capitalexpenditures such as proposals to enter new lines of business or to exit existing businesses.This includes analyzing proposed mergers, acquisitions and spin-offs.Controller: This department oversees the accounting and auditing activities of the firm.Activities include preparation of financial statements for use by shareholders, creditors andregulatory authorities, as well as the preparation of internal reports comparing planned andactual costs, revenues, and profits from the corporation’s various business units.。
兹维博迪金融学第二版试题库12TB
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Chapter TwelvePortfolio Opportunities and ChoiceThis chapter contains 30 multiple choice questions, 10 short problems, and 5 longer problems.Multiple Choice1. A person's wealth portfolio consists of all one’s ________ and ________.(a)retained earnings; credit(b)stocks; bonds(c)assets; liabilities(d)student loans; mortgagesAnswer: (c)2.The principle of diversification usually applies to all ________.(a)risk averse people(b)risk neutral people(c)risk tolerant people(d)b and cAnswer: (a)3.Which of the following decisions can be considered part of portfolio selection?(a)Whether to buy or rent one’s house(b)What kind of life insurance to purchase(c)Whether to invest in stocks or bonds(d)All of the aboveAnswer: (d)12-14.An insurance policy that guarantees a person an income for as long as one lives is termed a ________.(a)lump sum payment(b)life annuity(c)perpetual annuity(d)life perpetuityAnswer: (b)5.The ________ is the length of time between decisions to revise portfolios, whereas the ________ isthe total length of time for which one plans.(a)trading horizon; decision horizon(b)planning horizon; decision horizon(c)decision horizon; trading horizon(d)decision horizon; planning horizonAnswer: (d)6.In making portfolio-selection decisions, people can in general achieve a ________ expected rate ofreturn by exposing themselves to ________ risk.(a)higher; no(b)higher; greater(c)higher; lower(d)lower; greaterAnswer: (b)7.The ________ the assets that make up the portfolio is found to be a very important factor whenconsidering the ability of diversification to reduce the riskiness of an investor's portfolio.(a)expected return of(b)variance of(c)correlation among(d)skewness amongAnswer: (c)12-28.Risk tolerance can be influenced by which of the following characteristics?(a)job status(b)age(c)wealth(d)all of the aboveAnswer: (d)9.The ________ is defined as a security that offers a perfectly predictable rate of return in terms of theunit of account and the length of the investor's decision horizon.(a)riskless asset(b)risky asset(c)30-day bond(d)30-day debentureAnswer: (a)10.A portfolio contains one risky asset and one riskless asset. The expected rate of return on the riskyasset is 0.13 and the riskless rate is 0.05. The standard deviation of the risky asset is 0.2, and the standard deviation of the portfolio is 0.075. What is the expected rate of return on the portfolio using the trade-off line?(a)0.0490(b)0.0800(c)0.0980(d)0.1175Answer: (b)11.An investor has a $100,000 investment to allocate between a risky asset and a riskless asset. Theequation for the trade-off line is determined to be E(r) = 0.05 + 0.09w. If the investor is requiring a portfolio composition corresponding to an expected rate of return of 0.11, how much should be invested in the risky asset?(a)$18,181(b)$33,333(c)$66,667(d)$81,819Answer: (c)12-312.An investor has a $100,000 investment to allocate between a risky asset and a riskless asset. Theequation for the trade-off line is determined to be E(r) = 0.07 + 0.12w. If the investor is requiring a portfolio composition corresponding to an expected rate of return of 0.17, how much should beinvested in the riskless asset?(a)$16,667(b)$29,412(c)$70,588(d)$83,333Answer: (a)13.An investor has a $100,000 investment to allocate between a risky asset and a riskless asset. Theequation for the trade-off line is determined to be E(r) = 0.07 + 0.12w. If the investor requires aportfolio composition corresponding to an expected rate of return of 0.17, what is the corresponding standard deviation of the portfolio? The standard deviation of risky asset is 0.3.(a)0.05(b)0.25(c)0.49(d)0.83Answer: (b)14.The expected rate of return on a risky asset is 0.13 and the riskless rate is 0.06. The standard deviationof the risky asset is 0.25. What happens to the slope of the trade-off line if the riskless rate changes to0.05 per year and the expected return on the risky asset changes to 0.14?(a)No change(b)The slope of the line falls from 36% to 28%(c)The slope of the line rises from 28% to 36%(d)The slope of the line rises from 52% to 56%Answer: (c)15.The formula for the trade-off line between risk and expected return is ________.(a)E(r) = r f+ w[E(r s) –r f](b)E(r) = r f+ [E(r s) –r f](c)E(r) = r f+ w[E(r s) + r f](d)all of the aboveAnswer: (a)12-416.In the trade-off line, the risk premium depends on ________(a)the risk premium of the risky asset(b)the proportion of the portfolio invested in the risky asset(c)the risk premium of the riskless asset(d)both a and bAnswer: (d)17.When one of the two assets in a portfolio is riskless, the standard deviation of its rate of return and itscorrelation with other asset are________.(a)greater than zero but less than positive one(b)less than zero but greater than negative one(c)zero(d)none of the aboveAnswer: (c)18.The expected rate of return on a risky asset is 0.16 and the riskless rate is 0.07. The standard deviationof the risky asset is 0.2. What happens to the slope of the trade-off line if the riskless rate changes to .06 per year and the expected return on the risky asset changes to 0.15?(a)no change(b)the slope rises from 0.45 to 0.5(c)the slope falls from 0.5 to 0.45(d)the slope falls from 0.45 to 0.4Answer: (a)19.A portfolio contains a riskless asset with an expected rate of return of 0.06 and a risky asset with anexpected rate of return of 0.15. The standard deviation of the risky asset is 0.25. If the expected rate of return of this portfolio is 0.10, what is its standard deviation?(a)0.11(b)0.14(c)0.22(d)0.44Answer: (a)12-5Consider a portfolio of two risky assets with the following distribution of rates of return on risky assets for questions 20 and 21. The portfolio is 55% Risky Asset 1 and 45% Risky Asset 2, and the correlation coefficient is 0.4.Risky Asset 1 Risky Asset 2MeanStandard Deviation 0.160.250.090.1820.What is the mean of this portfolio?(a)0.1215(b)0.1285(c)0.2005(d)0.2185Answer: (b)21.What is the standard deviation of this portfolio?(a)0.15958(b)0.18541(c)0.25467(d)0.34378Answer: (b)Consider a portfolio of two risky assets with the following distribution of rates of return on risky assets for questions 22 and 23. The portfolio is 70% Risky Asset 1 and 30% Risky Asset 2, and the correlation coefficient is 0.3.Risky Asset 1 Risky Asset 2MeanStandard Deviation 0.120.160.200.3022.What is the mean of this portfolio?(a)0.1716(b)0.1600(c)0.1414(d)0.1320Answer: (c)12-623.What is the standard deviation of this portfolio?(a)0.16338(b)0.14368(c)0.02669(d)0.02064Answer: (a)24.In practice, the vast majority of assets are positively correlated with each other because they are allaffected by ________.(a)common economic factors(b)firm specific factors(c)potential lawsuits(d)managerial inefficienciesAnswer: (a)25.A mutual fund company offers a safe money market fund whose current rate is 0.04. The samecompany also offers an equity fund with an aggressive growth objective, which historically has exhibited an expected return of 0.25 and a standard deviation of 0.30. Derive the equation for the risk-reward trade-off line.(a)E(r) = 0.04 + 0.25σ(b)E(r) = 0.04 + 0.7σ(c)E(r) = 0.04 + 0.21σ(d)E(r) = 0.04 + 0.83σAnswer: (b)26.The ________ refers to the set of portfolios of risky assets offering the highest possible expected rateof return for any given standard deviation.(a)minimum portfolio frontier(b)effective portfolio frontier(c)expected portfolio frontier(d)efficient portfolio frontierAnswer: (d)12-727.The optimal combination of risky assets is found as ________ between a straight line representing theriskless asset and the efficient frontier of risky assets.(a)the point of bisection(b)the point of intersection(c)the point of tangency(d)the point of highest returnAnswer: (c)28.The power of diversification to reduce the riskiness of an investor’s portfolio depends on the________ among the assets that make up the portfolio.(a)expected returns(b)variances(c)correlations(d)none of the aboveAnswer: (c)29.In the context of the optimal combination of risky assets, in order to decide on the menu of assetchoices to offer its customers a financial intermediary should consider:(a)investor preferences(b)the expected returns and standard deviations of the risky assets(c)both a and b(d)neither a nor bAnswer: (b)30.An investor has $100,000 invested in a portfolio that is composed of a tangency portfolio and ariskless asset, such that 35% is in the tangency portfolio and 65% is in the riskless asset. If thetangency portfolio is composed of 43.75% Risky Asset A and 56.25% Risky Asset B, which of the following accurately displays the amount of money invested in each component of the portfolio?(a)$35,000 in Riskless Asset; $43,750 in Risky Asset A; $56,250 in Risky Asset B(b)$65,000 in Riskless Asset; $43,750 in Risky Asset A; $56,250 in Risky Asset B(c)$35,000 in Riskless Asset; $28,437.50 in Risky Asset A; $36,562.50 in Risky Asset B(d)$65,000 in Riskless Asset; $15,312.50 in Risky Asset A; $19,687.50 in Risky Asset BAnswer: (d)12-8Short Problems1.Discuss the time horizons as they relate to portfolio planning.Answer:In formulating a plan for portfolio selection you begin by determining our goals and timehorizons. The planning horizon is the total length of time for which one plans. Thelongest time horizon would typically correspond to the retirement goal and would be thebalance of one’s lifetime. There are also shorter planning horizons that correspond tospecific financial goals, such as paying for a child’s education. The decision horizon isthe length of time between decisions to revise the portfolio. The length of the decisionhorizon is controlled by the individual, within certain limits. The shortest possibledecision horizon is the trading horizon, defined as the minimum time interval over whichinvestors can revise their portfolios.2.What is the riskless asset if the unit of account is the Japanese Yen and the length of the decisionhorizon is a month?Answer:The Japanese Yen one-month zero-coupon bond.3.Describe the steps involved in the portfolio optimization process.Answer:(1) Find the optimal combination of risky assets.(2) Mix this optimal risk-asset portfolio with the riskless asset.12-94.Who would you expect to be more risk tolerant, a young investor or an elderly one? An investor ormoderate means or a wealthy one?Answer:A young person with a secure job can look forward to a long period of earning a salarythat will probably increase with the rate of inflation. For her, investment in stocks wouldnot be as risky as for an older person who needs to ensure a steady source of income forthe rest of his life. A wealthier individual may be willing to take more risks (than a poorerperson) because his capacity to take bigger gambles and lose is higher. That is, he maystill be quite wealthy after his losses.5.An investor has a $100,000 investment to allocate between a risky asset and a riskless asset. Theequation for the trade-off line is determined to be E(r) = 0.05 + 0.07w. If the investor requires aportfolio composition corresponding to an expected rate of return of 0.10, how much should beinvested in the risky asset? In the riskless asset?Answer:E(r) = 0.05 + 0.07w0.10 = 0.05 + 0.07w0.05 = 0.07w0.71429 = wThe investor should invest $71,429 in the risky asset and $28,571 in the riskless asset. 6.An investor has $75,000 to allocate between a risky asset and a riskless asset. The equation for thetrade-off line is determined to be E(r) = 0.06 + 0.1w. If the investor requires a portfolio composition with an expected rate of return of 0.12, how much should be invested in each asset?Answer:E(r) = 0.06 + 0.1w0.12 = 0.06 + 0.1w0.06 = 0.1w0.6 = w0.6($75,000) = $45,000 should be invested in the risky asset0.4($75,000 = $30,000 should be invested in the riskless assetThere would have to be 16 million uncorrelated drugs in the portfolio.12-107.Consider the portfolio of two risky assets with the following distribution of rates of return on riskassets.Risky Asset 1 Risky Asset 2MeanStandard Deviation 0.170.230.100.19What are the mean and standard deviation of a portfolio that is 60% Risky Asset 1 and 40% Risky Asset 2 if the correlation coefficient is 0.3?Answer:E(r) = wE(r1) + (1 - w)E(r2)= 0.6(0.17) + 0.4(0.10)= 0.142The mean is 14.2%σ2= w2σ12 + (1 - w)2σ22 + 2w(1-w)ρ1,2σ1σ2= (0.6)2(0.23)2 + (0.4)2(0.19)2 + 2(0.6)(0.4)(0.3)(0.23)(0.19)σ2= 0.03111σ= 0.17639The standard deviation is 17.6%8.An investor has a $150,000 investment to allocate between a risky asset and a riskless asset. Theexpected rate of return for the risky asset is 0.18 and the expected rate of return for the riskless asset is 0.07. The standard deviation of the risky asset is 0.2. If the investor requires a portfoliocomposition corresponding to an expected rate of return of 0.15, what is the standard deviation of the portfolio?Answer:Use the trade-off line to find w:E(r) = r f + w[E(r s) – r f)0.15 = 0.07 + w[0.18 – 0.07]0.15 = 0.07 + 0.11w0.08 = 0.11w0.7272 = wSo the standard deviation of the portfolio is 0.2(0.7272) = 0.1455.12-119.Discuss how to create efficient portfolios when the raw materials are two risky assets and a risklessasset.Answer:Let us now summarize what we have learned about creating efficient portfolios when the rawmaterials are two risky assets and a riskless asset. There is a single portfolio of the two riskyassets that it is best to combine with the riskless asset. We call this particular risky portfolio the optimal combination of risky assets. The preferred portfolio is always some combination of thistangency portfolio and the riskless asset10.The expected rate of return on a risky asset is 0.19 and the riskless rate is 0.05. The standard deviationof the risky asset is 0.3.a. What happens to the slope of the trade-off line if the riskless rate decreases to 0.04 and theexpected return on the risky asset increases to 0.2?b. What happens to the slope of the trade-off line if the riskless rate increases to 0.06 and theexpected return on the risky assets increases to 0.2?Answer:a. Slope = (E(r s) – r f)/σsSlope of original scenario: (0.19 – 0.05)/0.3 = 0.14/0.3 = 0.467Slope in revised scenario: (0.20 – 0.04)/0.3 = 0.16/0.3 = 0.533The slope rises from 0.467 to 0.533.b.Slope of original scenario: (0.19 – 0.05)/0.3 = 0.14/0.3 = 0.467Slope in revised scenario: (0.20 – 0.06)/0.3 = 0.14/0.3 = 0.467The slope is unchanged.12-12Longer Problems1. A mutual fund advertises a money market fund whose current rate is 0.06, and is deemed “safe.” Inaddition, the mutual fund also offers an equity fund that is considered very aggressive in terms of growth. Historical expected returns are 0.30 with a standard deviation of 0.25.(a) Derive the risk-reward trade-off line.(b) For each unit of extra risk that an investor bears, how much extra expected return willresult?(c) What allocation should be placed in the money market fund if an investor desires anexpected return of 18%?Answer:(a) E(r) = r f + w[E(r s) – r f)= 0.06 + w[0.3 – 0.06]= 0.06 +0 .24w= 0.06 +0 .24(σ/0.25)= 0.06 + 0.96σ(b) For each unit of extra risk that an investor bears, the extra expected return will be 0.96(the slope of the risk-reward line)(c) 0.18 = 0.06 + w[0.30 - 0.06]0.18 = 0.06 + 0.24w0.12 = 0.24w0.5 = wInvest 50% in the money market fund and 50% in the equity fund.12-132.Suppose you are the manager of a mutual fund and a client comes to you wanting to invest 65% of aportfolio into your mutual fund and the remaining 35% into a “safe” money market fund. The mutual fund that you manage has an expected rate of return of 0.18 and a standard deviation of 0.25. The money market fund rate is 0.065.(a) If your client invests as described above, what is the expected return and standarddeviation of his portfolio?(b) The fund that you manage has the following stocks and their corresponding proportions:Stock X: 30%, Stock Y: 35%, and Stock Z: 35%If we include the position in the riskless asset, what are the investment proportions ofyour client’s portfolio?Answer:(a) E(r) = r f + w[E(r s) – r f)= 0.065 +0 .65[0.18 – 0.065]= 0.065 + 0.65[0.115]= 0.13975σ= 0.65 (0.25)= 0.1625(b) Stock X: (0.65 x 30%) = 19.50%Stock Y: (0.65 x 35%) = 22.75%Stock Z: (0.65 x 35%) = 22.75%Riskless Asset: = 35.00%Total = 100.00%12-143.If we have many risky assets to choose from, how do we determine the optimal combination of riskyassets?Answer:When there are many risky assets we use a two-step method of portfolio constructionsimilar to the one used in the previous section. In the first step, we consider portfoliosconstructed from the risky assets only, and in the second step we find the tangencyportfolio of risky assets to combine with the riskless asset. Because the computationinvolves a lot of number crunching, it is best done using computers. The efficientportfolio frontier is defined as the set of portfolios of risky assets offering the highestpossible expected rate of return for any given standard deviation. The reason theindividual basic assets lie inside the efficient frontier is that there is usually somecombination of two or more basic securities that has a higher expected rate of returnthan the basic security for the same standard deviation.The optimal combination of risky assets is found as the point of tangency between astraight line from the point representing the riskless asset and the efficient frontier ofrisky assets. The straight line connecting the riskless asset and the tangency pointrepresenting the optimal combination or risky assets is the best feasible risk rewardtradeoff line.4.Suppose you have the following two stocks:Risky Asset A Risky Asset BMean 0.10 0.18Standard Deviation 0.12 0.25_____________________________________________________The minimum-variance portfolio of these assets requires investment proportions of 83.92% ofRisky Asset A and 16.08% of Risky Asset B. The correlation between the two stocks is 0.1?What is the corresponding expected return and standard deviation of the portfolio?Answer:The corresponding E(r) = w1 E(r1) + (1 - w1) E(r2)= 0.8392 (0.1) + 0.1608 (0.18)= 0.113The corresponding σ2= w12σ12 + (1 - w1)2σ22 + 2w(1 - w1) ρ1,2σ1σ2σ2= 0.01257So σ= 0.11212-155.Is it true that investing in stocks is less risky in the long run than the short run? Why or why not?Answer:There is a widespread—but mistaken—belief that stocks are less risky in the long run than in the short run. Based on this belief, it is generally inferred that you should invest more of your money in stocks the longer your planned holding period. Two propositions have been used to persuadeskeptics that this so-called time diversification effect is valid:• The longer the investor’s holding period, the smaller the standard deviation of the annualized rate of return on stocks.• The longer the investor’s holding period, the lower the probability that stocks will earn a rate of return less than the corresponding risk-free interest rate on bonds.Although they are true, these propositions do not support the validity of the claim that stocks are less risky in the long run than in the short run or that you should invest more in stocks because you have a longer planned holding period. Let us explain why. First, the fact that the standarddeviation of the annualized rate of return on an investment in stocks declines as the length of the holding period increases is merely an artifact of expressing investment performance in terms of the annualized rate of return. There is no genuine diversification in this situation. You care about the amount of wealth that you will have at the end of the holding period, and there is no decline in its standard deviation. For example, compare the results of investing all of your money in stocksversus risk-free bonds for one year and for 25 years. Even though the standard deviation of your annualized rate of return for the 25-year period is approximately one-fifth of the one-year result, the standard deviation of your ending wealth for the 25-year holding period is five times greater than the one-year standard deviation. Second, it is true that the longer the holding period, thelower the probability of a shortfall, defined as the stock portfolio’s earning less than the risk-free interest rate over that same period. However, the risk of a shortfall depends on its severity when it happens as well as its probability of happening. If we consider measures of risk that take account of both the severity and the probability of a shortfall, there is no decline in risk as the holdingperiod lengthens. For example, consider as a measure of risk the price of insuring a stock portfolio against a shortfall. It actually increases with the length of the holding period.12-16。
兹维博迪金融学第二版试题库5TB(1)
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兹维博迪金融学第二版试题库5TB(1)Chapter FiveHousehold Savings and Investment DecisionsThis chapter contains 28 multiple choice questions, 10 short problems, and 9 longer problems.Multiple Choice1.Getting a professional degree can be evaluated as ________.a) a social security decisionb)an investment in human capitalc)an investment in a consumer durabled) a tax exempt decisionAnswer: (b)2.Suppose you will face a tax rate of 20% before and after retirement. The interest rate is 8%.You are 30 years before your retirement date and invest $10,000 to a tax deferred retirement plan. If you choose to withdraw the total accumulated amount at retirement, what will you be left with after paying taxes?a)$51,445b)$64,000c)$80,501d)$100,627Answer: (c)3.Suppose you will face a tax rate of 20% before and after retirement. The interest rate is 8%.You are 30 years before your retirement date and have $10,000 to invest. If you invest this in an ordinary savings plan instead of a tax deferred retirement plan, what amount will you have accumulated at retirement?a)$51,445b)$64,000c)$80,501d)$100,627Answer: (a)4.When your tax rate remains unchanged, the benefit of tax deferral can be summarized in therule, “deferral earns you ________.”a)the after-tax rate of return before taxb)the pretax rate of return after taxc)the after-tax rate of return after taxd)the pretax rate of return before taxAnswer: (b)5.From an economic perspective, professional training should be undertaken if the ________exceeds the ________.a)future value of the benefit; present value of the costsb)present value of the benefits; future value of the costsc)future value of the benefits; future value of the costsd)present value of the benefits; future value of the costsAnswer: (d)6.Suppose you will face a tax rate of 30% before and after retirement. The interest rate is 6%.You are 35 years before your retirement date and $2,000 to a tax deferred retirement plan. If you choose to withdraw the total accumulated amount at retirement, what will you be left with after paying taxes?a)$7,532b)$10,760c)$12,298d)$15,372Answer: (b)7.Kecia is currently thirty years old and she plans to retire at age sixty. She is expected to liveto age eighty-five. Her labor income is $45,000 per year and she intends to maintain aconstant level of real consumption spending over the next fifty-five years. Assuming a real interest rate of 4% per year, no taxes, and no growth in real labor income, what is the value of Kecia’s human capital?a)$31,797b)$35,196c)$778,141d)$994,888Answer: (c)8.Kecia is currently thirty years old and she plans to retire at age sixty. She is expected to liveto age eighty-five. Her labor income is $45,000 per year and she intends to maintain aconstant level of real consumption spending over the next fifty-five years. Assuming a real interest rate of 4% per year, no taxes, and no growth in real labor income, what is the value of Kecia’s permanent income?a)$31,797b)$35,196c)$778,141d)$994,888Answer: (b)9.Oscar is currently thirty-five year old, plans to retire at age sixty-five, and to live to ageeighty-five. His labor income is $40,000 per year, and he intends to maintain a constant level of real consumption spending over the next fifty years. Assuming a real interest rate of 4% per year, no taxes, and no growth in real labor income, what is the value of Oscar’s human capital?a)$884,344b)$691,681c)$39,999d)$32,198Answer: (b)10.Oscar is currently thirty-five year old, plans to retire at age sixty-five, and to live to ageeighty-five. His labor income is $40,000 per year, and he intends to maintain a constant level of real consumption spending over the next fifty years. Assuming a real interest rate of 4% per year, no taxes, and no growth in real labor income, what is the value of Oscar’spermanent income?a)$884,344b)$691,681c)$39,999d)$32,198Answer: (d)11.You are currently renting a house for $12,000 per year, and you also have an option to buy itfor $240,000. Maintenance and property taxes are estimated to be $4,320, and these costs are included in your rent. Property taxes ($2,880 of the $4,320) are deductible for income tax purposes. Your tax rate is 35%. You wish to provide yourself with housing at the lowest present value of cost. If the real after-taxrate is 2.52%, should you rent or buy?a)rent the house; the PV cost of renting is $476,190b)rent the house; the PV cost of renting is $309,524c)buy the house; the PV cost of owning is $442,198d)buy the house; the PV cost of owning is $371,429Answer: (d)12.You are currently renting a house for $12,000 per year and you also have an option to buy itfor $240,000. Maintenance and property taxes are estimated to be $4,320, and these costs are included in your rent. Property taxes ($2,880 of the $4,320) are deductible for income tax purposes. Your tax rate is 35%. You wish to provide yourself with housing at the lowest present value of cost. The real after-tax rate is 2.52%. What is the break-even rent?a)$6,048b)$9,360c)$10,128d)$12,302Answer: (b)13.As one gets older, the ________ declines, so ________ falls steadily until it reaches zero atage 65.a)future value of remaining labor income; human capitalb)future value of remaining labor income; initial wealthc)present value of remaining labor income; human capitald)present value of initial wealth; optimizationAnswer: (c)14.Any lifetime consumption spending plan that satisfies your budget constraint is:a)an optimal modelb) a feasible planc) a model benefitd) a target replacementAnswer: (b)15.There is an advantage to tax deferred retirement savings plans for those ________ when themoney is withdrawn.a)who will be in a lower tax bracketb)who will be in the same tax bracketc)both (a) and (b)d)neither (a) nor (b)Answer: (c)16.In the United States, individual retirement accounts (IRAs) are called ________ rather than________ because any amounts withdrawn from the plan are taxed at the time of withdrawal.a)tax advantaged; tax deferredb)tax deferred; tax exemptc)tax advantaged; tax loopholesd)tax exempt; tax deferredAnswer: (b)17.The present value of one’s future labor income is called ________ and the constant level ofconsumption spending that has a present value equal to one’s huma n capital is called________.a)human income; taxable incomeb)human capital; permanent incomec)permanent capital; taxable incomed)permanent income; human capitalAnswer: (b)18.The ________ the interest rate, the ________ the value of human capital, but the higher thelevel of permanent income.a)lower; lowerb)higher; lowerc)higher; higherd)lower; higherAnswer: (b)19.The ________ states that the present value of one’s lifetime consumption spending andbequests equals the present value of one’s initi al wealth and future labor income.a)consumption budget constraintb)spending constraintc)intertemporal budget constraintd)income and spending constraintAnswer: (c)20.According to the text, many experts recommend that in making a savings plan one should aimfor a replacement rate of ________ of pre-retirement income.a)100%b)25%c)50%d)75%Answer: (d)21.Economic costs that are said to be explicit costs include items such as ________.a)tuitionb)foregone rentc)foregone earningsd)all of the aboveAnswer: (a)22.Economic costs that are said to be implicit costs include items such as ________.a)tuitionb)administrative fees while undertaking a professional degreec)foregone earningsd)all of the aboveAnswer: (c)23.In making lifetime saving/consumption decisions it is considered simpler to do the analysis________.a)in nominal termsb)in inflationary termsc)in perpetual termsd)in real termsAnswer: (d)24.In terms of a lifetime saving/consumption decision such as buying or renting an apartment ora consumer durable, the alternative you should choose is ________.a)the one with the lower present value of benefitsb)the one with the lower present value of costsc)the one with the higher present value of costsd)the one with the lower present value of benefits and the higher present costsAnswer: (b)25.Among the approaches you can use for saving for yourretirement is/are ________.a)aiming to maintain the same level of consumption spending before and afterretirementb)aiming for a target replacement rate of incomec)bypassing graduate school and continuing to consume at the same leveld)(a) and (b)Answer: (d)26.In the equation known as the intertemporal budget constraint, ________.a)the present value of lifetime consumption spending equals the present value ofbequestsb)the present value of lifetime consumption spending and bequests equals the presentvalue of lifetime resourcesc)the present value of lifetime consumption spending equals the future value of laborincomed)the future value of lifetime consumption spending equals the present value of laborincomeAnswer: (b)27.Salman is currently twenty-five years old and plans to live to age eighty. His labor income is$75,000 per year and he plans to maintain a constant level of real consumption spending over the next fifty-five years. Salman plans to retire at age 60. Assume the real interest rate is 5% per year and there are no taxes and no growth in real labor income.What is the value ofSalman’s permanent income?a)$75,000b)$65,906c)$85,348d)$1,228,064Answer: (b)28.You are currently renting a house for $25,800 a year and you have an option to buy it for$350,000. Maintenance and property taxes are $6,150 per year and these costs are included in your rent. Property taxes ($4,150 of the $6,150) are deductible for income tax purposes. Your tax rate is 35%. The real after-tax rate is 3.5%. What is the break-even rent?a)$16,770.00b)$16,947.50c)$21,102.46d)$24,927.54Answer: (b)Short Problems1.You are currently renting a house for $17,000 a year and you also have an option to buy it for$300,000. Maintenance and property taxes are $5,040 per year and these costs are included in your rent. Property taxes ($3,360 of the $5,040) are deductible for income tax purposes.Your tax rate is 40%. You wish to provide yourself with housing at the lowest present value of cost. The real after-tax rate is 3.1% per year. Should you rent or buy? What is the break-even rent?Answer:After-tax outflow for property taxes each year is 0.6 x $3,360 = $2,016Cash outflow in year t = $1,680 + $2,016= $3,696PV cost of owning = $300,000 + $3,696/i= $300,000 + $3696/0.031= $419,226PV cost of renting = $17,000/i= $17,000/0.031= $548,387You would be better off buying the house.Break-even rent: X/0.031 = $300,000 +$3,696/0.031X = $12,996The break-even rent is $12,996.So if the rent is less than $12,996 per year, you would prefer to keep renting.2.You are currently renting a house for $16,000 a year and you also have an option to buy it for$250,000. Property taxes and maintenance care is $5,000 per year, and these costs areincluded in your rent. Property taxes ($3,200 of the $5,000) are deductible for income tax purposes. Your tax rate is 40%. You wish to provide yourself with housing at the lowest present value of cost. The real before-tax discount rate is 3.5% per year. Should you rent or buy? What is the break-even rate?Answer:Real after-tax rate = 0.6 x 0.035= 0.021After-tax cash outflow for property taxes each year is 0.6 x $3,200 = $1,920Cash outflow for year t = $1,800 + $1,920= $3,720PV cost of owning = $250,000 + $3,720/i= $250,000 + $3,720/0.021= $427,143PV cost of renting = $16,000/i= $16,000/0.021= $761,905You would be better off buying the house.To find the break-even rent:X/0.021 = $250,000 + $3,720/0.021X = $8,970So if the rent is less than $8,970 per year, you would be better off renting.3.Kieran is currently twenty-five years old, plans to retire at age sixty, and to live to age eighty.His labor income is $45,000 per year, and he intends to maintain a constant level of real consumption spending over the next fifty-five years. Assuming a real interest rate of 3%, no taxes, and no growth in real labor income, what is the value of Kieran’s human capital?What is th e value of Kieran’s permanent income?Answer:n i PV FV PMT Result35 3 ? 0 45,000 PV = $966,925n i PV FV PMT Result55 3 $966,925 0 ? PMT = $36,114The value of Kieran’s human capital is $966,925.The value of Kieran’s permanent income is $36,114.4.Mariana is currently thirty years old, plans to retire at ageseventy and to live to age ninety.Her labor income is $60,000 per year, and she intends to maintain a constant level of real consumption spending over the next sixty years. Assuming a real interest rate of 4% per year, no taxes and no growth in real labor income, what is the value of Mariana’s human capital?What is the value of Mariana’s permanent income?Answer:n i PV FV PMT Result40 4 ? 0 60,000 PV = $1,187,566n I PV FV PMT Result60 4 $1,187,566 0 ? PMT = $52,493The value of Mariana’s human capital is $1,187,566.The value of Mariana’s permanent income is $52,493.5.Your employer, Novocastrian Films, has agreed to make 60 quarterly payments of $1,000each into a trust account to fund your early retirement. The first payment will be made 3months from now. At the end of 15 years (60 payments), you will be paid 15 equal annual payments, with the first receipt to be made at the beginning of Year 16 (or the end of Year15). The funds will be invested at a nominal rate of 10.0%, quarterly compounding, duringboth the accumulation and the distribution periods. How large will each of your 15 receipts be?Answer:First determine the effective annual rate:EFF = (1 + 0.10/4)4 –1= 10.38%Next, determine amount at end of year 15N I PMT Result_____________15 10.38 $4000 FV = $130,983.39At the end of year 15, there will be $130,983.39 in your retirement account.Since you will be making withdrawals at the beginning of each year, PV = $130,983/(1 +i), or $118,625.10.N I PV Result___________15 10.38 -$118,625.10 PMT = $15,935.89Each of the receipts will be $15,935.896.Mr. Palin has received a job offer from a large investment bank as an assistant to the vicepresident and Mr. Palin’s base salary will be $90,000. In addition, he will receive his first annual salary payment one year from the day he begins work. He will also get an immediate $45,000 bonus for joining the company and his salary will grow at 8 percent each year. Mr.Palin is expected to work for 20 years. What is the present value of the offer if the appropriate discount rate is 11 percent?Answer:Simplest approach is to set up a spreadsheet like:Year PMT PV@11%0 45,000 45,0001 90,000 81,081.082 97,200 78,889.70. . .. . .. . .19 359,641.75 49,514.6320 388,413.10 $48,176.39Total: $1,310,649.82The present value of the offer is $1,310,649.827.Natalia will face a tax rate of 25% before and after retirement. The interest rate is 9%. She is35 years from her retirement date and invests $5,000 to a tax deferred retirement plan. If shechooses to withdraw the total accumulated amount at retirement, what will she be left with after paying taxes?Answer:$5,000 x 1.0935 = $102,069After taxes this leaves $102,069 x 0.75 = $76,5528.Damian is currently twenty-five years old and plans to live to age eighty. His labor income is$80,000 per year, and he plans to maintain a constant level of real consumption spending over the next fifty-five years. Damian plans to retire at age 60. Assume the real interest rate is 5% per year and there are no taxes and no growth in real labor income. What is the value ofDamian’s human capital? What is the value of Damian’s permanent income?Answer:N I PV FV PMTResult_________35 5 ? 0 $80,000 PV =$1,309,936N I PV FV PMT Result________55 5 $1,309,936 0 ? PMT = $70,300Damian’s human capital is $1,309,936.Damian’s permanent income is $70,300.9.You are currently renting a house for $25,800 a year andyou have an option to buy it for$350,000. Maintenance and property taxes are $6,150 per year, and these costs are included in your rent. Property taxes ($4,150 of the $6,150) are deductible for tax purposes. Your tax rate is 35%. The real after tax rate is 3.5%. What is the NPV of the investment in the house?Answer:After-tax outflow for property taxes each year is 0.65 x $4,150 = $2,697.50Cash outflow in year t = $2,697.50 + $2,000= $4,697.50PV cost of owning = $350,000 + $4,697/0.035= $350,000 + $134,214= $484,214PV cost of renting = $25,800/0.035= $737,143So the NPV of investing in the house instead of renting is $737,143 – $484,214 = $252,929.10.Carson will face a tax rate of 30% before and after retirement. The interest rate is 6%. He is32 years from his retirement date and invests $3,000 to a tax deferred retirement plan. If hechooses to withdraw the total accumulated amount at retirement, what will he be left with after paying taxes? Show how to find the answer using the rule, “Deferral earns you the pretax rate of return after tax.”Answer:If Carson paid the initial tax he would have $3,000 x 0.7 = $2,100 to invest.Investing $2,100 at the pretax rate of 6% would result in$2,100 x 1.0632 = $13,552Longer Problems1.Tamara is currently twenty-eight years old, plans to retire at age seventy and to live to ageninety. Her labor income is $50,000 per year, and she intends to maintain a constant level of real consumption spending over the next sixty-two years. Assume no taxes, no growth in real labor income and a real interest rate of 4% per year.(a)What is the value of Tamara’s human capital?(b)What is the value of Tamara’s permanent income?Answer:(a) N I PV FV PMT Result42 4 ? 0 $50,000 PV =$1,009,281(b) N I PV FV PMT Result62 4 $1,009,281 0 ? PMT =$44,261The value of Tamara’s human capital is $1,009,281The value of Tamara’s permanent income is $44,2612.You have just turned twenty-eight years of age and feel it is necessary to upgrade yourqualifications. After some consideration, you feel that undertaking full-time study for an MBA degree is one alternative. For the two years of full-time study, tuition and living expenses will be $25,000 per year. In addition, you will have to give up your current job witha salary of $35,000 per year. Assume all cash flows occur at the end of the year. Assume areal interest rate of 4% per year, ignoring taxes. Also assume that the salary increase is at a constant real amount that startsafter you complete your degree (at the end of the year following graduation) and lasts until retirement at age sixty-five. In order to justify theinvestment, by how much does your salary have to increase as a result of getting the MBA degree?Answer:Find the FV of tuition and foregone salary at the end of two years:N i PV FV PMT Result________2 4 0 ? 60,000 FV = $122,400Find the increase in salary that has this amount as its PV:n i PV FV PMT Result_______35 4 $122,400 0 ? PMT = $6,5583.At the age of thirty Terry was earning $30,000 and decided to undertake an MBA to increasehis earning potential. Two years later Terry has his degree and has achieved a constant real increase of $5,898 in his annual salary that will last until he retires at age sixty. If Terry lives to the age of ninety, what will be the value of his human capital and permanent income?Assume a real interest rate of 2.52% per year, no taxes, and no growth in real labor income.Answer:New base salary = $30,000 + $5,898 = $35,898n i PV FV PMT Result________28 2.52 ? 0 $35,898 PV = $714,899n i PV FV PMT Result________58 2.52 $714,899 0 ? PMT = $23,584The value of Terry’s human capital is $714,899.The value of Terry’s permanent income is $23,584.4.Juliet currently rents an apartment but has the option to buy it for $185,000. Property taxesare $2,000 per year and are deductible for income tax purposes. Annual maintenance costs are $1,800 per year, but are not tax deductible. Juliet expects that the above taxes will increase at the rate of inflation. Her income tax rate is 35%, and she can earn a before-tax real interest rate of 5% per year. If Juliet buys the apartment she plans to keep it forever. What is the “break-even” annual rent such that Juliet would buy the apartment if the rent exceeded this amount?Answer:Real after-tax rate = 0.65 x 0.05= 0.0325 (or 3.25%)After-tax annual outflow for property taxes each year is 0.65 x $2,000 = $1,300Break-even rent: X/0.035 = $185,000 + $3,100/0.0325X = 0.035($185,000) + $3,100X = $6,012.50 + $3,100X = $9,112.50So the break-even rent is $9,112.50.5.Anton’s retirement goal is to set aside an a mount of money each year into a savings accountuntil he retires so that he can withdraw $80,000 each year during his retirement. He expects to retire in thirty years and expects to live for twenty years following his retirement. Anton expects to be able to earn 9 percent per year on his account balance. Calculate the deposit Anton must make for Plan 1 and the amount of the deposit Anton must make for Plan 2.Plan 1: Anton's first deposit will be one year from today and his last deposit will betwenty-nine years from today. He intends to make his first withdrawal thirty years from today.Plan 2: Anton's first deposit will be today and his last deposit will be thirty years fromtoday. He intends to make his first withdrawal thirty one years from today.Answer:Plan 1N I PMT Result__________20 9 $80,000 PV = $730,283.65N I FV Result__________29 9 $730,283.65 PMT = $5,882.96Under Plan 1, Anton must deposit $5, 882.96Plan 2N I PMT Result__________20 9 $80,000 PV = $730,283.65(set to Begin mode)N I FV Result_______31 9 $730,283.65 PMT = $4,479Under Plan 2, Anton must deposit $4,479.6.Your 68 year old mother plans to retire in 2 years, and she expects to live independently for 3years. She wants a retirement income that has, in the first year, the same purchasing power as $60,000 has today. However, her retirement income will be of a fixed amount, so her real income will decline over time. Her retirement income will start the day she retires (2 years from today), and she will receive a total of 3 retirement payments. Inflation is expected to be constant at 6%. Your mother has $100,000 in savings now, and she can earn 9% on savings now and in the future. How muchmust she save each year, starting today, to meet herretirement goals?Answer:First of all, your mother needs the following payments at age 70-72:Age 70: $67,416Age 71: $71,460.96Age 72: $75,748.62At age 68, the PV of these cash flows = $165,585.90Your mother has already set aside $100,000So to calculate what she has to save:Set calculator to Begin modePV N I/Y Result$65,585.90 2 9 PMT = $34,205.097. A relative of yours has just turned 45 years old and plans on retiring in 15 years on her 60thbirthday. She is saving money today for her retirement and is establishing a retirementaccount with your office. She would like to withdraw money from her retirement account on her birthday each year until she dies. She would ideally like to withdraw $60,000 on her 60th birthday, and increase her withdrawals 10% a year through her 69th birthday (i.e., she would like to withdraw $141,476.86 on her 69th birthday). She plans to die on her 70th birthday, at which time she would like to leave $400,000 to her descendants. Your relative currently has $100,000. You estimate that the money in the retirement account will earn 11% a year over the next 25 years. Calculate how much your relative should deposit each year (at the end of each year).Answer:Between ages 60-70, cash flows look like:Year CF Get the PV of these withdrawals.6060,0006166,006272,600. .. .. .69141,476.9070400,000At age 60, PV = $717,124.72At age 45, PV = $149,882.18Relative already has $100,000Solve:N I PV Result_________15 11 $49,882.18 PMT = $6,936.888.Consider the following retirement plan. Today is January 1 and your employer will make a$100 contribution to your retirement plan at the end of January and this amount will increase by $100 each month through December 31. Thus in February you get $200 and then up to a $1,200 contribution on December 31. Thus at the end of each January, you will alwaysreceive $100 and the end of each December you will always receive $1,200. The employer will continue this contribution pattern for the next 25 years. You expect to receive a 12% quoted yield, compounded monthly, on your investments. How much money will be in your account when you retire?Answer:Determine what the monthly deposits are worth on annualbasis:CF0 = 0, CF1 = 100, …, CF12 = $1,200NPV = $7,182.38 at start of each year.Determine EFF = 12.68%Set calculator to Begin mode:N I PMT Result_____________25 12.68 $7,182.38 F = $1,198,487。
兹维博迪金融学第二版试题库3TB(1)
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兹维博迪⾦融学第⼆版试题库3TB(1)Chapter ThreeManaging Financial Health and PerformanceThis chapter contains 62multiple choice questions, 19 short problems and 9 longer problems. Multiple Choice1.For a corporation, net worth is called ________.(a) net income(b) assets(c) stockholder’s equity(d) retained earningsAnswer: (c)2.On a company’s published balance sheet, the value of assets, liabilities and net worth, are measured at ________.(a)expected market value(b)current book value(c)current market value(d)historical acquisition costsAnswer: (d)3.Any U.S. or non-U.S. company that wishes to list its shares on a U.S. exchange must regularly report its activities by filing financial statements with the ________.(a)SEC(b)NYSE(c)GAAP(d)AMEXAnswer: (a)4.Noncurrent assets typically consist of ________.(a)accounts payable(b)receivables and inventories(c)cash and marketable securities(d)property, plant, and equipmentAnswer: (d)5.The difference between a firm’s current assets and its current liabilities is called ________.(a)net worth(b)net working capital(c)net income(d)stockholder’s equityAnswer: (b)6.________ is the difference between revenues and cost of goods sold.(a)Operating income(b)Gross margin(c)Taxable income(d)Change in retained earningsAnswer: (b)7.________ is the difference between gross margin and GS&A expenses.(a)Operating income(b)Gross margin(c)Taxable income(d)Net incomeAnswer: (a)8.Although it differs from the income statement, the statement of cash flows is a useful supplement to the income statement because:(a)it focuses attention on what is happening to the firm’s cash position over time(b)it avoids the judgments about revenue and expense recognition that go into the income statement(c)it is influenced by accrual accounting decisions(d)(a) and (b)Answer: (d)9.On the statement of cash flows, the purchase of new plant and equipment represents a ________.(a)cash flow from operating activity(b)cash flow from investing activity(c)cash flow from financing activity(d)total cash flow from (a) + (b) +(c )Answer: (b)10.On the balance sheet, the value of assets, liabilities, and net worth are measured in accordance with ________.(a)generally accepted economic principles(b)generally accepted accounting principles(c)market value accreditation(d)generally adopted and accredited principlesAnswer: (b)11.________ is the official accounting value of assets and shareholder’s equity.(a)Market value(b)Historical market value(c)Book value(d)Economic value addedAnswer: (c)12.Building up a good reputation for quality and reliability, and building up a knowledge base as theresult of past research and development, are both examples of ________ that add to the firm’s________.(a)intangible assets, book value(b)tangible assets, market value(c)tangible assets, book value(d)intangible assets, market valueAnswer: (d)13.The value of goodwill is the difference between the ________ of the acquisition and its ________.(a)market price, book value(b)amortized value, market price(c)historical acquisition cost, book value(d)market price, after tax valueAnswer: (a)14.At the beginning of 19X7 Success Galore has a market price of $250 per share and at the end of theyear $225.50. Cash dividends for the year are $7.50 per share. Compute the total shareholder returns.(a)6.8%(b)–6.8%(c)12.8%(d)–12.8%Answer: (b)15.Success Galore had a market price of $178 per share at the beginning of 19X7 and at the end of theyear the price per share was $205.50. Cash dividends for the year were $7 per share. Calculate the total shareholder returns.(a)19.38%(b)–19.38%(c)16.79%(d)–16.79%Answer: (a)16.In 19X7, Kanga Inc. had a net income of $40.2 million, assets of $600 million, and shareholders’equity of $405 million. Calculate the return on equity.(a)4%(b)6.7%(c)9.93%(d)20.62%Answer: (c)17.Asset turnover ratios ________.(a)assess the firm’s profitability(b)assess the firm’s ability to use its assets productively in generating revenue(c)highlight the capital structure of the firm(d)measure the ability of the firm to meet its short-term obligationsAnswer: (b)Use the information below for BGB Manufacturing to answer Questions 18-22.18.Calculate the current ratio for BGB Manufacturing for 1998.(a)1.5 times(b)2.43 times(c)3.19 times(d)4.25 timesAnswer: (b)19.Calculate the quick ratio for BGB Manufacturing for 1997.(a)0.25 times(b)0.5 times(c)0.75 times(d)1.5 timesAnswer: (c)20.From the perspective of a bank loan officer from 1997 to the present, which of the followingstatements best summarizes the information revealed by the current ratio and quick ratio for BGB Manufacturing?(a)The ability of the firm to meet its long-term obligations has deteriorated.(b)The ability of the firm to meet its short-term obligations has improved.(c)The ability of the firm to meet its short-term obligations has deteriorated.(d)The ability of the firm to meet its long-term obligations has improved.Answer: (b)21.Calculate the debt ratio for BGB Manufacturing for 1999.(a)0.14%(b)0.24%(c)0.48%(d)0.82%Answer: (c)22.Calculate the times interest earned (TIE) ratio for BGB Manufacturing for 1998.(a)2.25 times(b)2.7 times(c)3.25 times(d)5.2 timesAnswer: (c)23. If a firm’s total asset turnover ratio is 3.0:(a)its average total assets are one-sixth of its annual sales(b)its average total assets are three times its annual sales(c)its annual sales are three times its average total assets(d)its annual sales are one-third of its total assetsAnswer: (c)24. A firm has a P/E of 9 and a market to book ratio of 2.5. If EPS are $3.50, what is the book value per share?(a) $8.75(b) $12.60(c) $31.50(d) $78.75Answer: (b)25. A firm has EBIT of $3 million, sales of $15 million, and average total assets of $30 million. Calculate its ROA.(a)6.67%(b)10%(c) 20%(d) 50%Answer: (b)26. If the average inventory for a firm is $17 million and inventory turnover is 0.9 times, what is its cost of goods sold?(a)$15.3 million(b)$18.89 million(c)$153 million(d)$188.9 millionAnswer: (a)27. If the average total assets for the Heartland Corporation are $660 million and EAT are $100 million, calculate its ROA. Assume a tax rate of 40% and interest of $3 million.(a) 15.15%(b) 15.6%(c) 25.15%(d) 25.71%Answer: (d)28. The beginning of year receivables for a firm are $40 million. If the receivables turnover for the firm is4.2 times and its sales are $220 million, calculate the firm’s end of year receivables.(a) $24.76 million(b) $52.38 million(c) $64.76 million(d) $168 millionAnswer: (c)29. In developing a financial plan, the first step is to:(a) distribute rewards and punishments to relevant parties(b) develop the firm’s strategic plan(c) establish specific performance targets for the firm and its suppliers(d) adjust targets based on the previous year’s dataAnswer: (b)30. The planning horizon is an important component of the financial planning process. Generally, the longer the horizon:(a) the less detailed the financial plan(b) the more detailed the financial plan(c) the more performance targets the financial plan will include(d) the less a financial plan is neededAnswer: (a)31. The “blueprints,” or the tangible outcomes of the financial planning process, are in the form of:(a) executive stock options(b) auditor’s recommendations(c) projected financial statements and budgets(d) tactical plans and budgetsAnswer: (c)32. Based on a consideration of the planning horizon, which of the following projects is most likely to consist of the most detailed financial plans?(a) a five-year financial plan(b) a one-year financial plan(c) a six-month financial plan(d) a one-month financial planAnswer: (d)33. Forecasting sales for the next year and assuming that most of the items on the income statement and balance sheet will maintain the same ratio to sales as in the previous year is called the_______________ method.(a) forecast ratio(b) percent-of-sales(c) planning horizon(d) financial predictorAnswer: (b)34. Using the percent-of-sales method, which of the following variables are typically assumed to increase proportionately with sales?(a) costs(b) EBIT(c) assets(d) all of the aboveAnswer: (d)35. Rupert’s Glassworks Ltd. has an inventory period of 50 days, a receivables period of 55 days, and a payables period of 40 days. Compute its cash cycle time.(a) 35 days(b) 45 days(c) 65 days(d) 105 daysAnswer: (c)Questions 36 through 45 refer to the following information:Income Statement data and Balance Sheet data is provided for the firm Neural Way Inc. for 19x7 and 19x8. Financial Statementsfor Neural Way Inc.19x719x8Income StatementSales$1,500,000$1,980,000Cost of Goods Sold$967,500$1,277,100Gross Margin$532,500$702,900Operating ExpensesAdvertising Expense$50,400$66,528Rent Expense$72,000$95,040Salesperson Commission Expense$48,000$63,360Utilities Expense$15,000$19,800EBIT$347,100$458,172Interest Expense$102,000$107,000Taxable Income$245,100$351,172Taxes (@35%)$85,785$122,910Net Income$159,315$228,262Dividends (40% payout)$63,726$91,305Change in Shareholders Equity$95,589$136,957Balance SheetAssetsCash and Equivalents$310,000$409,266Receivables$205,000$270,666Inventories$720,000$950,400Property, Plant and Equipment$1,956,000$2,571,306Total Assets$3,191,000$4,201,638LiabilitiesPayables$310,000$409,266Short Term Debt (10% interest)$510,000$1,088,535Long Term Debt (7% interest)$800,000$995,880Shareholders equityCommon Stock$1,150,000$1,150,000Retained earnings$421,000$557,957Total Liabilities and Equity$3,191,000$4,201,63836. From the financial data provided, which of the following items has maintained a fixed ratio to sales?(a) interest expense(b) net income(c) rent expense(d) taxes37.What is the ratio between sales and dividend payments in 19x8?(a) 3.22%(b) 4.25%(c) 4.61%(d) 6.09%Answer: (c)38.Calculate the rate of sales growth from 19x7 to 19x8.(a) 48%(b) 32%(c) 24.24%(d) 31.25%Answer: (b)39.What is the firm’s return on equity for 19x8?(a) 10.14%(b) 13.36%(c) 19.85%(d) 40.91%Answer: (b)40.What is the firm’s external financing funding requirement determined to be for 19x8?(a) $774,415(b) $873,681(c) $911,372(d) $972,947Answer: (a)41.If it is assumed that sales will grow by 17% for 19x9, then sales for 19x9 are forecast to be ________.(a) $1,755,000(b) $2,316,600(c) $2,613,600(d) $11,647,059Answer: (b)42.If sales growth is forecast to be 17% for 19x9, what is the forecast gross margin for 19x9?(a) $393, 822(b) $822,393(c) $873,300Answer: (b)43.How much additional funding will the firm need for 19x9?(a) $709,544(b) $639,979(c) $618,863(d) $549,288Answer: (d)44.In 19x7, taxable income is what proportion of sales?(a) 5.72%(b) 6.11%(c) 16.34%(d) 17.74%Answer: (c)45.In 19x8, common stock is what proportion of sales?(a) 28.18%(b) 58.08%(c) 76.67%(d) 86.26%Answer: (b)46.Which is the correct formula for calculating a firm’s sustainable growth rate?(a) sustainable growth rate = earnings retention rate x ROE(b) s ustainable growth rate = earnings retention rate x ROI(c) sustainable growth rate = (1 – dividend payout) x ROE x ROI(d) s ustainable growth rate = share repurchase rate x ROIAnswer: (a)47.Lucinda Inc. has the following fixed ratios:Asset Turnover = 0.6 Times per YearDebt/Equity Ratio = 1.5Dividend Payout Ratio = 0.53ROE = 25% per YearWhat is the sustainable growth rate for this firm?(a) 10%(b) 11.75%(c) 15%(d) 39.75%Answer: (b)48.Onegin Corporation has the following fixed ratios:Asset Turnover = 0.4 Times per YearDebt/Equity Ratio = 1.4Dividend Payout Ratio = 0.49ROE = 27% per YearWhat is the sustainable growth rate for this firm?(a) 13.77%(b) 14%(c) 16.2%(d) 18.25%Answer: (a)49. If a firm’s working capital need is permanent rather than seasonal, the firm ________.(a) will usually seek short-term financing for it(b) will not seek financing at all(c) will revise its strategic plan immediately(d) will usually seek long-term financing for itAnswer: (d)50. Which of the following is not part of a firm’s working capital?(a) inventories(b) accounts payable(c) plant and equipment(d) cashAnswer: (c)51. Working capital is defined to be ________.(a) the difference between current assets and current liabilities(b) the difference between accounts receivable and accounts payable(c) the difference between current assets and shareholders’ equity(d) the difference between total assets and total liabilitiesAnswer: (a)52. The cash cycle time begins with ________and ends with ________.(a) payment of cash to suppliers, liquidation of inventory(b) receipt of cash from customers, payment of cash to suppliers(c) payment of cash to suppliers, receipt of cash from customers(d) selling of purchase on credit, receipt of cash from customersAnswer: (c)53. Which of the following is the correct representation of the cash cycle time?(a) Cash cycle time = inventory period – payables period(b) Cash cycle time = inventory period – receivables period – payables period(c) Cash cycle time = receivables period – payables period(d) Cash cycle time = inventory period + receivables period – payables periodAnswer: (d)54. A firm’s required investment in working capital is ________ to the cash cycle length of time.(a) inversely proportional(b) directly related(c) indirectly related(d) not related at allAnswer: (b)Use the following data to answer Questions 55 - 59Prepare a multi-step income statement for Kangarucci Inc. (a retailer) for the year ending December 31, 1997. Use the information below:Interest Expense 18,799Beginning Inventory 422,550Depreciation 14,861General and Administrative Expenses 19,745Advertising 14,090Interest Income 5,087Ending Inventory 456,988Gross Sales 543,777Taxes 10,006Lease Payments 61,444Purchase of Materials 199,766Returns and Allowances 9,888R&D Expenditures 12,867Repairs and Maintenance 7,54255. The cost of goods sold is ________.(a)$34,438(b)$165,328(c)$199,766(d)234,204Answer: (b)56. The operating expenses for the period are ________.(a)$95,279(b)$110,140(c)$115,688(d)$130,549Answer: (d)57. The gross margin for the period is ________.(a)$353,700(b)$368,561(c)$378,449(d)$543,777Answer: (b)58. The operating income for the period is ________.(a)$238,012(b)$247,900(c)$273,282(d)$283,170Answer: (a)59. The net income is ________.(a)$214,294(b)$209,207(c)$204,120(d)$189,259Answer: (a)60. In the construction of a statement of cash flows, which of the following is considered a financing activity?(a)increase in accounts payable(b)repayment of long-term debt(c)reduction of accounts receivable(d)purchase of gross fixed assetsAnswer: (b)61. Assume you are given the following information for Flanders Company:Current Ratio: 2.5xQuick Ratio: 2.0xCurrent Liabilities: $200,000Current assets comprise cash, account receivables and inventory.Compute Inventory.(a)$500,000(b)$400,000(c)$100,000(d)$80,000Answer: (c)62. Assume you are given the following information for Flanders Company:Return on Assets (ROA): 11%Return on Equity (ROE): 20%Total Asset Turnover: 1.5xCalculate the ROS for Flanders Company.(a)7.33%(b)13.33%(c)13.64%(d)16.5%Answer: (a)Short Problems1.Explain why the market price of a company’s stock does not necessarily equal its book value.Answer:The book value does not include all of a firm’s assets and liabilities.The assets and liabilities included on a firm’s official balance sheet are (for the most part) valued at original acquisition cost less depreciation, rather than at current market values.2.Explain why it may be possible for two firms to have the same ROA.Answer: ROA = ROS x ATOFor example, a supermarket (low profit margin, high asset turnover) and a jewelry store (high profit margin, low asset turnover) – could have the same ROA.3.As a financial document, what purpose does the statement of cash flows serve? What is a benefit ofthe statement of cash flows?Answer: The statement of cash flows gives a summary of cash flows from operating, investing, and financing activities for a period of time. The statement of cash flows focuses attention on what is happening to the firm’s cash position over time and it also avoids judgements about revenue and expense recognition that go into the income statement. A benefit of the statement of cash flows is that it is not influenced by accrual accounting decisions.4.What are the three types of benchmarks?Answer:Financial ratios of other companies for the same period of time.Financial ratios of the company itself in previous time periods.Information extracted from financial markets such as asset prices or interest rates.5.You invest in a stock that costs $215.50. It pays a cash dividend during the year of $12.20 and you expect its price to be $229 at year’s end. What is the total shareholder return?Answer:Total Shareholder returns = Ending Price of a Share – Beginning Price of Share + Cash Dividend Beginning Price of Share= $229 - $215.50 + $12.20$215.50= 11.93%6.In 19X7, Slater Inc. had a net income of $30.3 million, assets of $560 million, and shareholders equity of $400 million. Calculate its return on equity.Answer: Return on equity = Net IncomeShareholders’ Equity= $30.3$400= 7.58%7.Grad Inc. has EBIT of $13 million, sales of $25 million, and average total assets of $50 million. Calculate its ROA.Answer: Return on assets = EBIT x SalesSales Assets= 13 x 252550= 26%8.If Profit Inc. has interest expenses of $16,000 per year, sales of $1,000,000, a tax rate of 40%, and a net profit margin of 7%, what is Success Inc.’s times interest earned ratio?Answer: EAT = Sales x Net Profit Margin= $1,000,000 x 0.07= $70,000EBT = EAT/(1-T)= $70,000/0.6= $116,667EBIT = EBT + I= $116,667 + $16,000= $132,667T.I.E = EBIT/ Interest Expense = $132,667/ $16,000= 8.29 times。
金融学兹维博迪第二版 第一章答案
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CHAPTER 1 – Financial EconomicsEnd-of-Chapter ProblemsDefining Finance1. What are your main goals in life? How does finance play a part in achieving those goals? What are the major tradeoffs you face?SAMPLE ANSWER:Finish schoolGet good paying job which I likeGet married and have childrenOwn my own homeProvide for familyPay for children’s educationRetireHow Finance Plays a Role:SAMPLE ANSWER:Finance helps me pay for undergraduate and graduate education and helps me decide whether spending the money on graduate education will be a good investment decision or not.Higher education should enhance my earning power and ability to obtain a job I like.Once I am married and have children I will have additional financial responsibilities (dependents) and I will have to learn how to allocate resources among individuals in the household and learn how to set aside enough money to pay for emergencies, education, vacations etc. Finance also helps me understand how to manage risks such as for disability, life and health.Finance helps me determine whether the home I want to buy is a good value or not. The study of finance also helps me determine the cheapest source of financing for the purchase of that home.Finan ce helps me determine how much money I will have to save in order to pay for my children’s education as well as my own retirement.Major Tradeoffs:SAMPLE ANSWERSpend money now by going to college (and possibly graduate school) but presumably make more money once I graduate due to my higher education.Consume now and have less money saved for future expenditures such as for a house and/or car or save more money now but consume less than some of my friendsFinancial Decisions of Households2. What is your net worth? What have you included among your assets and your liabilities? Would you list the value of your potential lifetime earning power as an asset or liability? How does it compare in value to other assets you have listed?SAMPLE ANSWER:$ ____________ (very possibly negative at this point)Assets:Checking account balanceSavings account balanceFurniture/Jewelry (watch)Car (possibly)Liabilities:Student loansCredit card balanceIf renting, remainder of rental agreement (unless subletting is a possibility)Car payments (possibly)Students typically don’t think about the high value of their potential lifetime earning power when calculating their net worth but for young people it is often their most valuable asset.3. How are the financial decisions faced by a single person living alone different from those faced by the head of a household with responsibility for several children of school age? Are the tradeoffs they have to make different, or will they evaluate the tradeoffs differently?A single person needs only to support himself and therefore can make every financial decision on his own. If he does not want health insurance (and is willing to bear the financial risks associated with that decision) then no one will be affected by that decision other than that single person. In addition, this person needs to make no decisions about allocating income among dependents. A single person is very mobile and can choose to live almost anywhere. The tradeoffs this individual makes generally concern issues of consuming (or spending) today versus saving for consumption tomorrow. Since this person is supporting only himself, the need to save now is less important than for the head of household discussed next.The head of household with several children must share resources (income) among dependents. This individual must be prepared to deal with risk management issues such as how to be prepared for potential financial emergencies (such as a serious health problem experienced by a member of the family or home owners insurance in case of a fire or other mishap). Because there are more people in this household than with a single person, there are greater risks that someone will get sick or injured. And because there are dependents, the wage earner(s) should think carefully about life and disability insurance. In addition, the family is not as mobile as the single individual. Because of the school age children, the family might want to live near “good schools” thinking that a stronger education will eventually help those children’s future well being and financial situation. Thus, the tradeoffs for the head of household are more complex: more money is needed to consume today (he or she needs to support more dependents), but a lot more money is also needed to save for future expenses such as education and housing and more money is needed for risk management such as life and disability insurance.4. Family A and family B both consist of a father, mother and two children of school age. In family A both spouses have jobs outside the home and earn a combined income of $100,000 per year. In family B, only one spouse works outside the home and earns $100,000 per year. How do the financial circumstances and decisions faced by the two families differ?With two wage earners, there is less risk of a total loss of family income due to unemployment or disability than there is in a single wage earning household. The single wage earning family will probably want more disability and life insurance than the two wage earning family. On the flip side, however, the two wage earning family may need to spend extra money on child care expenses if they need to pay someone to watch the children after school.5. Suppose we define financial independence as the ability to engage in the four basic household financial decisions without resort to the use of relative’s resources when making financing decisions. At what age should children be expected to become financially independent?Students will have differing responses to this question depending upon their specific experiences and opinions. Most will probably say independence should come after finishing their education, and they have a significant flow of income.6. You are thinking of buying a car. Analyze the decision by addressing the following issues:a. Are there are other ways to satisfy your transportation requirements besides buying a car? Make a list ofall the alternatives and write down the pros and cons.Transportation Mode WalkingPros ConsTakes a long timeDestination may be too far Takes you directly where you wantto goNo out of pocket costsConvenientBicycle Bus Takes you directly to where youwant to goRequires physical strength andenduranceNo out of pocket marginal costsConvenientDestination may be too farInexpensive May not take you directly whereyou want to goReaches more distant destinationsInconvenient schedules to goMany stops, not efficientSubway InexpensiveFast May not take you directly where you want to goLocal destinations only on limited networkTrain Reaches distant destinations Moderately expensiveMay not take you directly whereyou want to goAirplane Reaches distant destinationsFast Most expensiveWill not take you directly where you want to gob. What are the different ways you can finance the purchase of a car?Finance through a bank loan or lease, finance through a car dealer with a loan or a lease or finance the car out of your own savings.c. Obtain information from at least three different providers of automobile financing on the terms they offer.d. What criteria should you use in making your decision?Your decision will be to select the financing alternative that has the lowest cost to you.When analyzing the information, you should consider the following:Do you have the cash saved to make an outright purchase? What interest rate would you be giving up to make that purchase? Do you pay a different price for the car if you pay cash rather than finance?For differing loan plans, what is the down payment today? What are the monthly payments? For how long? What is the relevant interest rate you will be paying? Does the whole loan get paid through monthly payments or is there a balloon payment at the end? Are taxes and/or insurance payments included in the monthly payments?For differing lease plans, what is the down payment today? What are the monthly payments? For how long? Do you own the car at the end of the lease? If not, what does it cost to buy the car? Do you have to buy the car at the end of the lease or is it an option? Is there a charge if you decide not to buy the car? What relevant interest rate will you be paying? Are taxes and/or insurance payments included in the monthly payments? Are there mileage restrictions?7. Match each of the following examples with one of the four categories of basic types of household financial decisions.At the Safeway paying with your debit card rather than taking the time to write a checkDeciding to take the proceeds from your winning lottery ticket and use it to pay for an extended vacation on the Italian RivieraFollowing Hillary’s advic e and selling your Microsoft shares to invest in pork belly futuresHelping your 15-year old son learn to drive by letting putting him behind the wheel on the back road into townTaking up the offer from the pool supply company to pay off your new hot tub with a 15-month loan with zero payments for the first three monthsThe first is the most difficult since in practice it is simply a cash transaction involving no financing. As such the purchase is a consumption decision only and the payment choice is not a financing decision. The second is also a consumption/saving decision. The third is an exchange of one financial asset for another and therefore an investment decision. The fourth is a risk-management decision since you have subjected yourself to increased risk that is not covered by insurance. The final example is a financing decision involving a loan to finance a purchase. Forms of Business Organization8. You are thinking of starting your own business, but have no money.a. Think of a business that you could start without having to borrow any money.Any business that involves a student’s own personal service would be cheap to start up. For instance he or she could start a business running errands for others, walking their dogs, shopping etc. Along those same lines they could start some kind of consulting business. Both of these businesses could be run out of their dorm room or their own home and could be started with very little capital. If they wanted to hire additional workers, they would have to be paid ona commission basis to limit upfront expenses.b. Now think of a business that you would want to start if you could borrow any amount of money at the going market interest rate.Certainly there are many interesting businesses that could be started if one could finance 100% of the business with borrowed capital and no equity. Since you will be able to borrow 100% of the financing, you will be willing to take a lot greater risk than if you were investing your own money.c. What are the risks you would face in this business?[Answer is, of course, dependent on answer to question “b.”]d. Where can you get financing for your new business?Depending upon the size of the financing needed, students should be looking for both debt and equity financing. The sources of this financing ranges from individuals and credit cards (for very small sums) to banks, venture capitalists, public debt and equity markets, insurance companies and pension funds9. Choose an organization that is not a firm, such as a club or church group and list the most important financial decisions it has to make. What are the key tradeoffs the organization faces? What role do preferences play in choosing among alternatives? Interview the financial manager of the organization and check to see if he or she agrees with you.SAMPLE ANSWER:Local Church group. Most important financial decisions:Whether or not to repair damage done to church and grounds during last big hurricane (specifically repairing the leaking roof)What project to put off in order to pay for repair damageHow to pay for renovations to downstairs Sunday school roomsHow to increase member attendance and contributionsHow to organize and solicit volunteers for the annual Church Sale (largest fund raiser of the year)Key Tradeoffs and Preferences:Church group funds are severely limited, so the organization needs to prioritize expenses based upon cost and need. Not all projects that are needed will be undertaken due to the expense involved. An equally large amount of timewill be spent trying to raise financing since funds inflow is variable. Since not all projects can be financed, preferences of different important individuals (such as the pastor) take on great significance in the decision-making process.Market Discipline: Takeovers10. Challenge Question: While there are clear advantages to the separation of management from ownership of business enterprises, there is also a fundamental disadvantage in that it may be costly to align the goals of management with those of the owners. Suggest at least two methods, other than the takeover market, by which the conflict can be reduced, albeit at some cost.One way is to provide incentives for the managers so that they increase their pay when owners interests are improved. An example would be compensating managers with stock options, the value of which increase with the market value of shareholder’s interests. A second method is to more closely monitor the behavior of the managers. Outside management consultants and auditors serve this role in part particularly to the extent that they report their findings to representatives from ownership groups. Both of these solutions assume the management cannot effectively deceive markets or consultant/auditors through misleading information or actions to inflate the market value of the ownership shares or there performance records.11. Challenge Question: Consider a poorly run local coffee shop with its prime location featuring a steady stream of potential clients passing by on their way to and from campus. How does the longtime disgruntled, sloppy and inefficient owner-manager of Cup-a-Joe survive and avoid disciplining from the takeover market? This is not a question about a misalignment of the goals of the owner(s) and manager(s) of a firm since we have explicitly said the firm is owner-managed. If in fact the coffee shop is mismanaged the potential exists for an outsider to purchase a controlling interest in the operation and put more efficient management into place if the purchase price does not exceed the value of profits to be generated by the efficiently managed firm. If the present owner chooses not to sell he must value the firm for more than the value of the profits generated by an efficiently managed firm. Therefore his position in the firm must generate for him non-pecuniary benefits, or benefits unrelated to the firm’s profitability and he is therefore not a value maximizer. Perhaps he enjoys maki ng fun of his clients or takes pride in his eclectic tastes in interior decorating. In any case the takeover market does discipline him in the sense that he will be forced to pay for his non-pecuniary benefits in the sense that he trades off profits.The same could be said of an owner-manager who lacks the required specialized skills to properly run the firm but never the less contin ues to operate the company inefficiently because he ‘likes’ the work!The Role of the Finance Specialist in a Corporation12. Which of the following tasks undertaken within a corporate office are likely to fall under the supervision of the treasurer? The controller?Arranging to extend a line of credit from a bankArranging with an investment bank for a foreign exchange transactionProducing a detailed analysis of the cost structure of the company’s alternative product linesTaking cash payments for company sales and purchasing U.S. Treasury BillsFiling quarterly statements with the Securities and Exchange CommissionThe first two and the fourth items are responsibilities of the treasurer while the third and fifth items fall under the workloa d of the controller’s office.ObjectivesDefine finance.Explain why finance is worth studying.Introduce two of the main players in the world of finance—households and firms—and the kinds of financial decisions they make. The other main players, financial intermediaries and government, are introduced in chapter 2.ContentsDefining Finance1.11.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 Why Study Finance?Financial Decisions of HouseholdsFinancial Decisions of FirmsForms of Business OrganizationSeparation of Ownership and ManagementThe Goal of ManagementMarket Discipline: TakeoversThe Role of the Finance Specialist in a CorporationSummaryFinance is the study of how to allocate scarce resources over time. The two features that distinguish finance are that the costs and benefits of financial decisions are spread out over time and are usually not known with certainty in advance by either the decision maker or anybody else.A basic tenet of finance is that the ultimate function of the system is to satisfy people’s consumption preferences. Economic organizations such as firms and governments exist in order to facilitate the achievement of that ultimate function. Many financial decisions can be made strictly on the basis of improving the trade-offs available to people without knowledge of their consumption preferences.There are at least five good reasons to study finance:To manage your personal resources.To deal with the world of business.To pursue interesting and rewarding career opportunities.To make informed public choices as a citizen.To expand your mind.The players in finance theory are households, business firms, financial intermediaries, and governments. Households occupy a special place in the theory because the ultimate function of the system is to satisfy the preferences of people, and the theory treats those preferences as given. Finance theory explains household behavior as an attempt to satisfy those preferences. The behavior of firms is viewed from the perspective of how it affects the welfare of households.Households face four basic types of financial decisions:Saving decisions: How much of their current income should they save for the future?Investment decisions: How should they invest the money they have saved?Financing decisions: When and how should they use other people’s money to satisfy their wants and needs?Risk-management decisions: How and on what terms should they seek to reduce the economic uncertainties they face or to take calculated risks?There are three main areas of financial decision making in a business: capital budgeting, capital structure, and working capital management.There are five reasons for separating the management from the ownership of a business enterprise:Professional managers may be found who have a superior ability to run the business.To achieve the efficient scale of a business the resources of many households may have to be pooled.In an uncertain economic environment, owners will want to diversify their risks across many firms. Such efficient diversification is difficult to achieve without separation of ownership and management.To achieve savings in the costs of gathering information.The “learning curve” or “going concern” effect: When the owner is also the manager, the new owner has to learn the business from the former owner in order to manage it efficiently. If the owner is not the manager, then when the business is sold, the manager continues in place and works for the new owner.The corporate form is especially well suited to the separation of ownership and management of firms because it allows relatively frequent changes in owners by share transfer without affecting the operations of the firm.The primary goal of corporate management is to maximize shareholder wealth. It leads managers to make the same investment decisions that each of the individual owners would have made had they made the decisions themselves.A competitive stock market imposes a strong discipline on managers to take actions to maximize the market value of the firm’s shares.。
兹维博迪金融学第二版试题库12TB(1)
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Chapter TwelvePortfolio Opportunities and ChoiceThis chapter contains 30 multiple choice questions, 10 short problems, and 5 longer problems. Multiple Choice1. A person's wealth portfolio consists of all one’s ________ and ________.(a)retained earnings; credit(b)stocks; bonds(c)assets; liabilities(d)student loans; mortgagesAnswer: (c)2.The principle of diversification usually applies to all ________.(a)risk averse people(b)risk neutral people(c)risk tolerant people(d)b and cAnswer: (a)3.Which of the following decisions can be considered part of portfolio selection?(a)Whether to buy or rent one’s house(b)What kind of life insurance to purchase(c)Whether to invest in stocks or bonds(d)All of the aboveAnswer: (d)12-14.An insurance policy that guarantees a person an income for as long as one lives is termed a ________.(a)lump sum payment(b)life annuity(c)perpetual annuity(d)life perpetuityAnswer: (b)5.The ________ is the length of time between decisions to revise portfolios, whereas the ________ isthe total length of time for which one plans.(a)trading horizon; decision horizon(b)planning horizon; decision horizon(c)decision horizon; trading horizon(d)decision horizon; planning horizonAnswer: (d)6.In making portfolio-selection decisions, people can in general achieve a ________ expected rate ofreturn by exposing themselves to ________ risk.(a)higher; no(b)higher; greater(c)higher; lower(d)lower; greaterAnswer: (b)7.The ________ the assets that make up the portfolio is found to be a very important factor whenconsidering the ability of diversification to reduce the riskiness of an investor's portfolio.(a)expected return of(b)variance of(c)correlation among(d)skewness amongAnswer: (c)12-28.Risk tolerance can be influenced by which of the following characteristics?(a)job status(b)age(c)wealth(d)all of the aboveAnswer: (d)9.The ________ is defined as a security that offers a perfectly predictable rate of return in terms of theunit of account and the length of the investor's decision horizon.(a)riskless asset(b)risky asset(c)30-day bond(d)30-day debentureAnswer: (a)10.A portfolio contains one risky asset and one riskless asset. The expected rate of return on the riskyasset is 0.13 and the riskless rate is 0.05. The standard deviation of the risky asset is 0.2, and the standard deviation of the portfolio is 0.075. What is the expected rate of return on the portfolio using the trade-off line?(a)0.0490(b)0.0800(c)0.0980(d)0.1175Answer: (b)11.An investor has a $100,000 investment to allocate between a risky asset and a riskless asset. Theequation for the trade-off line is determined to be E(r) = 0.05 + 0.09w. If the investor is requiring a portfolio composition corresponding to an expected rate of return of 0.11, how much should be invested in the risky asset?(a)$18,181(b)$33,333(c)$66,667(d)$81,819Answer: (c)12-312.An investor has a $100,000 investment to allocate between a risky asset and a riskless asset. Theequation for the trade-off line is determined to be E(r) = 0.07 + 0.12w. If the investor is requiring a portfolio composition corresponding to an expected rate of return of 0.17, how much should beinvested in the riskless asset?(a)$16,667(b)$29,412(c)$70,588(d)$83,333Answer: (a)13.An investor has a $100,000 investment to allocate between a risky asset and a riskless asset. Theequation for the trade-off line is determined to be E(r) = 0.07 + 0.12w. If the investor requires aportfolio composition corresponding to an expected rate of return of 0.17, what is the corresponding standard deviation of the portfolio? The standard deviation of risky asset is 0.3.(a)0.05(b)0.25(c)0.49(d)0.83Answer: (b)14.The expected rate of return on a risky asset is 0.13 and the riskless rate is 0.06. The standard deviationof the risky asset is 0.25. What happens to the slope of the trade-off line if the riskless rate changes to0.05 per year and the expected return on the risky asset changes to 0.14?(a)No change(b)The slope of the line falls from 36% to 28%(c)The slope of the line rises from 28% to 36%(d)The slope of the line rises from 52% to 56%Answer: (c)15.The formula for the trade-off line between risk and expected return is ________.(a)E(r) = r f+ w[E(r s) – r f](b)E(r) = r f+ [E(r s) – r f](c)E(r) = r f+ w[E(r s) + r f](d)all of the aboveAnswer: (a)12-416.In the trade-off line, the risk premium depends on ________(a)the risk premium of the risky asset(b)the proportion of the portfolio invested in the risky asset(c)the risk premium of the riskless asset(d)both a and bAnswer: (d)17.When one of the two assets in a portfolio is riskless, the standard deviation of its rate of return and itscorrelation with other asset are________.(a)greater than zero but less than positive one(b)less than zero but greater than negative one(c)zero(d)none of the aboveAnswer: (c)18.The expected rate of return on a risky asset is 0.16 and the riskless rate is 0.07. The standard deviationof the risky asset is 0.2. What happens to the slope of the trade-off line if the riskless rate changes to .06 per year and the expected return on the risky asset changes to 0.15?(a)no change(b)the slope rises from 0.45 to 0.5(c)the slope falls from 0.5 to 0.45(d)the slope falls from 0.45 to 0.4Answer: (a)19.A portfolio contains a riskless asset with an expected rate of return of 0.06 and a risky asset with anexpected rate of return of 0.15. The standard deviation of the risky asset is 0.25. If the expected rate of return of this portfolio is 0.10, what is its standard deviation?(a)0.11(b)0.14(c)0.22(d)0.44Answer: (a)12-5Consider a portfolio of two risky assets with the following distribution of rates of return on risky assets for questions 20 and 21. The portfolio is 55% Risky Asset 1 and 45% Risky Asset 2, and the correlation coefficient is 0.4.Risky Asset 1 Risky Asset 2MeanStandard Deviation 0.160.250.090.1820.What is the mean of this portfolio?(a)0.1215(b)0.1285(c)0.2005(d)0.2185Answer: (b)21.What is the standard deviation of this portfolio?(a)0.15958(b)0.18541(c)0.25467(d)0.34378Answer: (b)Consider a portfolio of two risky assets with the following distribution of rates of return on risky assets for questions 22 and 23. The portfolio is 70% Risky Asset 1 and 30% Risky Asset 2, and the correlation coefficient is 0.3.Risky Asset 1 Risky Asset 2MeanStandard Deviation 0.120.160.200.3022.What is the mean of this portfolio?(a)0.1716(b)0.1600(c)0.1414(d)0.132012-6Answer: (c)23.What is the standard deviation of this portfolio?(a)0.16338(b)0.14368(c)0.02669(d)0.02064Answer: (a)24.In practice, the vast majority of assets are positively correlated with each other because they are allaffected by ________.(a)common economic factors(b)firm specific factors(c)potential lawsuits(d)managerial inefficienciesAnswer: (a)25.A mutual fund company offers a safe money market fund whose current rate is 0.04. The samecompany also offers an equity fund with an aggressive growth objective, which historically has exhibited an expected return of 0.25 and a standard deviation of 0.30. Derive the equation for the risk-reward trade-off line.(a)E(r) = 0.04 + 0.25σ(b)E(r) = 0.04 + 0.7σ(c)E(r) = 0.04 + 0.21σ(d)E(r) = 0.04 + 0.83σAnswer: (b)26.The ________ refers to the set of portfolios of risky assets offering the highest possible expected rateof return for any given standard deviation.(a)minimum portfolio frontier(b)effective portfolio frontier(c)expected portfolio frontier(d)efficient portfolio frontierAnswer: (d)12-727.The optimal combination of risky assets is found as ________ between a straight line representing theriskless asset and the efficient frontier of risky assets.(a)the point of bisection(b)the point of intersection(c)the point of tangency(d)the point of highest returnAnswer: (c)28.The power of diversification to reduce the riskiness of an investor’s portfolio depends on the________ among the assets that make up the portfolio.(a)expected returns(b)variances(c)correlations(d)none of the aboveAnswer: (c)29.In the context of the optimal combination of risky assets, in order to decide on the menu of assetchoices to offer its customers a financial intermediary should consider:(a)investor preferences(b)the expected returns and standard deviations of the risky assets(c)both a and b(d)neither a nor bAnswer: (b)30.An investor has $100,000 invested in a portfolio that is composed of a tangency portfolio and ariskless asset, such that 35% is in the tangency portfolio and 65% is in the riskless asset. If thetangency portfolio is composed of 43.75% Risky Asset A and 56.25% Risky Asset B, which of the following accurately displays the amount of money invested in each component of the portfolio?(a)$35,000 in Riskless Asset; $43,750 in Risky Asset A; $56,250 in Risky Asset B(b)$65,000 in Riskless Asset; $43,750 in Risky Asset A; $56,250 in Risky Asset B(c)$35,000 in Riskless Asset; $28,437.50 in Risky Asset A; $36,562.50 in Risky Asset B(d)$65,000 in Riskless Asset; $15,312.50 in Risky Asset A; $19,687.50 in Risky Asset BAnswer: (d)12-8Short Problems1.Discuss the time horizons as they relate to portfolio planning.Answer:In formulating a plan for portfolio selection you begin by determining our goals and timehorizons. The planning horizon is the total length of time for which one plans. Thelongest time horizon would typically correspond to the retirement goal and would be thebalance of one’s lifetime. There are also shorter planning horizons that correspond tospecific financial goals, such as paying for a child’s education. The decision horizon isthe length of time between decisions to revise the portfolio. The length of the decisionhorizon is controlled by the individual, within certain limits. The shortest possibledecision horizon is the trading horizon, defined as the minimum time interval over whichinvestors can revise their portfolios.2.What is the riskless asset if the unit of account is the Japanese Yen and the length of the decisionhorizon is a month?Answer:The Japanese Yen one-month zero-coupon bond.3.Describe the steps involved in the portfolio optimization process.Answer:(1) Find the optimal combination of risky assets.(2) Mix this optimal risk-asset portfolio with the riskless asset.12-94.Who would you expect to be more risk tolerant, a young investor or an elderly one? An investor ormoderate means or a wealthy one?Answer:A young person with a secure job can look forward to a long period of earning a salarythat will probably increase with the rate of inflation. For her, investment in stocks wouldnot be as risky as for an older person who needs to ensure a steady source of income forthe rest of his life. A wealthier individual may be willing to take more risks (than a poorerperson) because his capacity to take bigger gambles and lose is higher. That is, he maystill be quite wealthy after his losses.5.An investor has a $100,000 investment to allocate between a risky asset and a riskless asset. Theequation for the trade-off line is determined to be E(r) = 0.05 + 0.07w. If the investor requires aportfolio composition corresponding to an expected rate of return of 0.10, how much should beinvested in the risky asset? In the riskless asset?Answer:E(r) = 0.05 + 0.07w0.10 = 0.05 + 0.07w0.05 = 0.07w0.71429 = wThe investor should invest $71,429 in the risky asset and $28,571 in the riskless asset. 6.An investor has $75,000 to allocate between a risky asset and a riskless asset. The equation for thetrade-off line is determined to be E(r) = 0.06 + 0.1w. If the investor requires a portfolio composition with an expected rate of return of 0.12, how much should be invested in each asset?Answer:E(r) = 0.06 + 0.1w0.12 = 0.06 + 0.1w0.06 = 0.1w0.6 = w0.6($75,000) = $45,000 should be invested in the risky asset0.4($75,000 = $30,000 should be invested in the riskless assetThere would have to be 16 million uncorrelated drugs in the portfolio.12-107.Consider the portfolio of two risky assets with the following distribution of rates of return on riskassets.Risky Asset 1 Risky Asset 2MeanStandard Deviation 0.170.230.100.19What are the mean and standard deviation of a portfolio that is 60% Risky Asset 1 and 40% Risky Asset 2 if the correlation coefficient is 0.3?Answer:E(r) = wE(r1) + (1 - w)E(r2)= 0.6(0.17) + 0.4(0.10)= 0.142The mean is 14.2%σ2= w2σ12 + (1 - w)2σ22 + 2w(1-w)ρ1,2σ1σ2= (0.6)2(0.23)2 + (0.4)2(0.19)2 + 2(0.6)(0.4)(0.3)(0.23)(0.19)σ2= 0.03111σ= 0.17639The standard deviation is 17.6%8.An investor has a $150,000 investment to allocate between a risky asset and a riskless asset. Theexpected rate of return for the risky asset is 0.18 and the expected rate of return for the riskless asset is 0.07. The standard deviation of the risky asset is 0.2. If the investor requires a portfoliocomposition corresponding to an expected rate of return of 0.15, what is the standard deviation of the portfolio?Answer:Use the trade-off line to find w:E(r) = r f + w[E(r s) – r f)0.15 = 0.07 + w[0.18 – 0.07]0.15 = 0.07 + 0.11w0.08 = 0.11w0.7272 = wSo the standard deviation of the portfolio is 0.2(0.7272) = 0.1455.12-119.Discuss how to create efficient portfolios when the raw materials are two risky assets and a risklessasset.Answer:Let us now summarize what we have learned about creating efficient portfolios when the rawmaterials are two risky assets and a riskless asset. There is a single portfolio of the two riskyassets that it is best to combine with the riskless asset. We call this particular risky portfolio the optimal combination of risky assets. The preferred portfolio is always some combination of thistangency portfolio and the riskless asset10.The expected rate of return on a risky asset is 0.19 and the riskless rate is 0.05. The standard deviationof the risky asset is 0.3.a. What happens to the slope of the trade-off line if the riskless rate decreases to 0.04 and theexpected return on the risky asset increases to 0.2?b. What happens to the slope of the trade-off line if the riskless rate increases to 0.06 and theexpected return on the risky assets increases to 0.2?Answer:a. Slope = (E(r s) – r f)/σsSlope of original scenario: (0.19 – 0.05)/0.3 = 0.14/0.3 = 0.467Slope in revised scenario: (0.20 – 0.04)/0.3 = 0.16/0.3 = 0.533The slope rises from 0.467 to 0.533.b.Slope of original scenario: (0.19 – 0.05)/0.3 = 0.14/0.3 = 0.467Slope in revised scenario: (0.20 – 0.06)/0.3 = 0.14/0.3 = 0.467The slope is unchanged.12-12Longer Problems1. A mutual fund advertises a money market fund whose current rate is 0.06, and is deemed “safe.” Inaddition, the mutual fund also offers an equity fund that is considered very aggressive in terms of growth. Historical expected returns are 0.30 with a standard deviation of 0.25.(a) Derive the risk-reward trade-off line.(b) For each unit of extra risk that an investor bears, how much extra expected return willresult?(c) What allocation should be placed in the money market fund if an investor desires anexpected return of 18%?Answer:(a) E(r) = r f + w[E(r s) – r f)= 0.06 + w[0.3 – 0.06]= 0.06 +0 .24w= 0.06 +0 .24(σ/0.25)= 0.06 + 0.96σ(b) For each unit of extra risk that an investor bears, the extra expected return will be 0.96(the slope of the risk-reward line)(c) 0.18 = 0.06 + w[0.30 - 0.06]0.18 = 0.06 + 0.24w0.12 = 0.24w0.5 = wInvest 50% in the money market fund and 50% in the equity fund.12-132.Suppose you are the manager of a mutual fund and a client comes to you wanting to invest 65% of aportfolio into your mutual fund and the remaining 35% into a “safe” money market fund. The mutual fund that you manage has an expected rate of return of 0.18 and a standard deviation of 0.25.The money market fund rate is 0.065.(a) If your client invests as described above, what is the expected return and standarddeviation of his portfolio?(b) The fund that you manage has the following stocks and their corresponding proportions:Stock X: 30%, Stock Y: 35%, and Stock Z: 35%If we include the position in the riskless asset, what are the investment proportions ofyour client’s portfolio?Answer:(a) E(r) = r f + w[E(r s) – r f)= 0.065 +0 .65[0.18 – 0.065]= 0.065 + 0.65[0.115]= 0.13975σ= 0.65 (0.25)= 0.1625(b) Stock X: (0.65 x 30%) = 19.50%Stock Y: (0.65 x 35%) = 22.75%Stock Z: (0.65 x 35%) = 22.75%Riskless Asset: = 35.00%Total = 100.00%12-143.If we have many risky assets to choose from, how do we determine the optimal combination of riskyassets?Answer:When there are many risky assets we use a two-step method of portfolio constructionsimilar to the one used in the previous section. In the first step, we consider portfoliosconstructed from the risky assets only, and in the second step we find the tangencyportfolio of risky assets to combine with the riskless asset. Because the computationinvolves a lot of number crunching, it is best done using computers. The efficientportfolio frontier is defined as the set of portfolios of risky assets offering the highestpossible expected rate of return for any given standard deviation. The reason theindividual basic assets lie inside the efficient frontier is that there is usually somecombination of two or more basic securities that has a higher expected rate of returnthan the basic security for the same standard deviation.The optimal combination of risky assets is found as the point of tangency between astraight line from the point representing the riskless asset and the efficient frontier ofrisky assets. The straight line connecting the riskless asset and the tangency pointrepresenting the optimal combination or risky assets is the best feasible risk rewardtradeoff line.4.Suppose you have the following two stocks:Risky Asset A Risky Asset BMean 0.10 0.18Standard Deviation 0.12 0.25_____________________________________________________The minimum-variance portfolio of these assets requires investment proportions of 83.92% ofRisky Asset A and 16.08% of Risky Asset B. The correlation between the two stocks is 0.1?What is the corresponding expected return and standard deviation of the portfolio?Answer:The corresponding E(r) = w1 E(r1) + (1 - w1) E(r2)= 0.8392 (0.1) + 0.1608 (0.18)= 0.113The corre sponding σ2= w12σ12 + (1 - w1)2σ22 + 2w(1 - w1) ρ1,2σ1σ2σ2= 0.01257So σ= 0.11212-155.Is it true that investing in stocks is less risky in the long run than the short run? Why or why not?Answer:There is a widespread—but mistaken—belief that stocks are less risky in the long run than in the short run. Based on this belief, it is generally inferred that you should invest more of your money in stocks the longer your planned holding period. Two propositions have been used to persuadeskeptics that this so-called time diversification effect is valid:• The longer the investor’s holding period, the smaller the standard deviation of the annualized rate of return on stocks.• The longer the investor’s holding period, the lower the probability that stocks will earn a rate of return less than the corresponding risk-free interest rate on bonds.Although they are true, these propositions do not support the validity of the claim that stocks are less risky in the long run than in the short run or that you should invest more in stocks because you have a longer planned holding period. Let us explain why. First, the fact that the standarddeviation of the annualized rate of return on an investment in stocks declines as the length of the holding period increases is merely an artifact of expressing investment performance in terms of the annualized rate of return. There is no genuine diversification in this situation. You care about the amount of wealth that you will have at the end of the holding period, and there is no decline in its standard deviation. For example, compare the results of investing all of your money in stocksversus risk-free bonds for one year and for 25 years. Even though the standard deviation of your annualized rate of return for the 25-year period is approximately one-fifth of the one-year result, the standard deviation of your ending wealth for the 25-year holding period is five times greater than the one-year standard deviation. Second, it is true that the longer the holding period, thelower the probability of a shortfall, defined as the stock portfolio’s earning less than the risk-free interest rate over that same period. However, the risk of a shortfall depends on its severity when it happens as well as its probability of happening. If we consider measures of risk that take account of both the severity and the probability of a shortfall, there is no decline in risk as the holdingperiod lengthens. For example, consider as a measure of risk the price of insuring a stock portfolio against a shortfall. It actually increases with the length of the holding period.12-16。
博迪金融学第二版习题答案
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博迪金融学第二版习题答案博迪金融学第二版习题答案博迪金融学是金融学领域的经典教材之一,被广泛应用于金融学相关专业的教学和研究。
对于学习者来说,理解和掌握教材中的习题答案是提高自己金融学知识和解题能力的关键。
本文将为大家提供博迪金融学第二版习题答案,帮助读者更好地学习和应用金融学知识。
第一章:投资者和市场1. 投资者可以分为个人投资者和机构投资者。
个人投资者是指个人通过购买股票、债券等金融资产来进行投资的个人。
机构投资者是指以机构形式存在的投资者,如银行、保险公司、基金公司等。
2. 市场是指供求双方进行交易的场所或平台。
金融市场是指进行金融资产交易的市场,包括股票市场、债券市场、外汇市场等。
3. 投资者的行为受到风险厌恶和效用最大化的影响。
风险厌恶是指投资者对风险的承受能力有限,倾向于选择较低风险的投资。
效用最大化是指投资者在选择投资组合时,会考虑投资组合的风险和收益,寻求风险和收益之间的最佳平衡。
4. 投资者的行为还受到信息的影响。
信息是投资者进行投资决策的基础,信息的不对称会导致市场的不完全有效。
投资者在面对信息不完全的情况下,会根据自己的认知和判断进行投资决策。
第二章:投资组合的理论1. 投资组合是指将不同的金融资产按一定比例组合在一起形成的投资组合。
投资组合的目标是在给定风险水平下,追求最大化的收益。
2. 投资组合的有效前沿是指在给定的风险水平下,能够获得最大收益的投资组合。
有效前沿由不同风险和收益水平的投资组合构成,投资者可以根据自己的风险偏好选择在有效前沿上的投资组合。
3. 马科维茨均值-方差模型是投资组合理论的基础。
该模型通过计算投资组合的期望收益和方差,寻求在给定风险水平下,能够获得最大收益的投资组合。
4. 投资组合的多样化是降低风险的重要手段。
通过将不同的金融资产组合在一起,可以降低投资组合的整体风险。
多样化的原则是选择不同类型、不同行业、不同地区的金融资产进行投资。
第三章:资本市场理论1. 资本市场理论是研究资本市场的运行和投资决策的理论。
兹维博迪金融学第二版试题库6TB(1)
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Chapter SixThe Analysis of Investment ProjectsThis chapter contains 41 multiple choice problems, 20 short problems and 8 longer problems.Multiple Choice1.The objective of a firm's management is to only undertake the projects that ________ themarket value of shareholders' equity.a)decreaseb)do not decreasec)changed)do not changeAnswer: (b)2.The decision rule that management uses with the net present value is to undertake only thoseprojects with ________ NPV.a) a discountedb) a contingentc) a positived)negativeAnswer: (c)3.If a firm decides to invest in automated machines that will allow the firm to reduce laborcosts, this is an example of a ________ capital expenditures project.a)new productsb)replacement of existing assetsc)cost reductiond)advertisingAnswer: (c)4.The NPV of a project represents the amount by which it is expected to increase ________.a)the break-even pointb)capital budgetingc)capital expendituresd)shareholder wealthAnswer: (d)5.Consider the following annual cash flows:Year Cash Flows (in thousands of dollars)0 –2,0001 1,2002 1,5003 1,800Using a cost of capital of 15%, compute this project's NPV.a)$5,361,000b)$3,548,000c)$3,361,000d)$1,361,000Answer: (d)6.Consider the following annual cash flows:Year Cash Flows (in thousands of dollars)0 –5,0001 4,1002 3,8003 3,500Using a cost of capital of 12%, compute this project's NPV.a)$14,181,000b)$9,181,000c)$4,181,000d)$3,548,000Answer: (c)7. A negative sign in front of a cash-flow forecast for a particular year means that it is an________.a)inflowb)outflowc)indeterminate flowd)more information is required to make this determinationAnswer: (b) cash inflows from operations can be computed in which of the following ways?a)Cash Flow = Revenue – Cash Expenses – Taxesb)Cash Flow = Net Income + Noncash Expensesc)Cash Flow = Revenue – Total Expenses – Taxes + Noncash Expensesd)all of the aboveAnswer: (d)9.Consider the development of a new type of laptop machine. In your estimates you determinethat you will sell 5,000 laptop units per year at a price of $2,500 per laptop. Productionequipment will have to be purchased at a cost of $2 million. The equipment will bedepreciated over five years using the straight-line method. Net working capital of $1.9million will also required to finance this project. The cash expenses for this project are $1,700 per laptop. The tax rate is 40%. Compute the net cash inflows from operations.a)$4 millionb)$2.56 millionc)$2.16 milliond)$1.76 millionAnswer: (b)10.Refer to question 9. What is the annual depreciation amount for this project?a)$4 millionb)$1 millionc)$0.78 milliond)$0.4 millionAnswer: (d)11.Refer to question 9. If we use a cost of capital equal to 13%, what is the NPV for this project?a)$2.3 millionb)$3.7 millionc)$5.1 milliond)$9 millionAnswer: (c)12.In computing a project's cost of capital the risk to use is ________.a)the risk of the financing instruments used to fund the projectb)the risk of the project's cash flowsc) a risk-free rated) a historical risk rate using T-billsAnswer: (b)13.A capital budgeting project's cost of capital should reflect only the ________ risk of theproject, not the project's ________ risk.a)unsystematic, systematicb)unsystematic, market-relatedc)systematic, unsystematicd)systematic, market-relatedAnswer: (c)14.The point of indifference between accepting and rejecting a project is referred to as the________ point.a)paybackb)NPVc)rejectiond)break-evenAnswer: (d)15.Consider a project that has total fixed costs of $400,000, an annual depreciation (based on thestraight-line method) of $150,000, annual cash flows of $255,000, and a tax rate of 34%. The difference between the revenue and variable cost (on a per unit basis) is $1,600 (so we use 1,600Q). Determine the break-even volume for this project.a)Q = 443 unitsb)Q = 349 unitsc)Q = 230 unitsd)Q = 194 unitsAnswer: (b)16.For a project, an initial cash outlay of $1.4 million is made. In year 1 the expected annualcash flow is $900,000, years 2-5 the expected annual cash flow is $1,000,000 and in year 6 the expected annual cash flow is $1.3 million. A cost of capital of 15% is used. The IRR (internal rate of return) is ________.a)72.1%b)65.8%c)51.7%d)40.0%Answer: (b)17.An initial cash outlay of $1.4 million is made for a capital budgeting project. In year 1, theexpected annual cash flow is $900,000, years 2-5, the expected annual cash flow is$1,000,000 and in year 6, the expected annual cash flow is $1.3 million. If a cost of capital of 15% is used, compute the NPV of this project.a)$1,800,000b)$2,100,000c)$2,427,225d)$3,296,790Answer: (c)18.The ________ is defined as the annual cash payment that has a present value equal to theinitial outlay.a)annualized cost of debtb)cost of debtc)cost of financingd)annualized capital costAnswer: (d)19.Project A has an initial $3.5 million capital outlay which is converted into an equivalentseven year annuity at a discount rate of 12% per year. Project B has a $7 million initial capital outlay and will last for 14 years. Project B has the same discount rate as Project A. What is the preferred alternative based on the annualized capital cost?a)Project A; its annualized capital cost = $528,050b)Project A; its annualized capital cost = $766,912c)Project B; its annualized capital cost = $1,056,099d)Project B; its annualized capital cost = $1,533,824Answer: (b)20.Project A has an initial capital outlay of $3 million. It will be converted into an equivalent 5year annuity at a discount rate of 12% per year. Project B has an initial capital outlay of $6 million. It will be a ten year annuity at the same discount rate as Project A. What are the annualized capital costs of both projects?a) a. Project A: $832,229 Project B: $1,664,458b) b. Project A: $530,952 Project B: $1,664,458c) c. Project A: $832,229 Project B: $1,061,905d) d. Project A: $530,952 Project B: $1,061,905Answer: (c)21.In comparing alternative annualized capital costs, the alternative with the ________annualized capital cost is the preferred alternative.a)lowestb)highestc)zerod)amortizedAnswer: (a)22.A project's IRR is ________ its scale, which makes IRR not a good measure for rankingmutually exclusive projects.a)contingent onb)independent ofc)inversely proportional tod)half ofAnswer: (b)23.The ________ rate is the rate that prevails in a zero-inflation scenario. The ________ rate isthe rate that one actually observes.a)nominal, inflationb)real, expectedc)nominal, reald)real, nominalAnswer: (d)24.If the nominal cost of capital is 16% per year and the expected rate of inflation is 5% per year,then compute the real cost of capital.a)21.8%b)11.5%c)11%d)10.5%Answer: (d)25.The nominal rate of interest is 15.7% and the expected rate of inflation is 6%. Compute thereal rate of return.a)22.6%b)10.9%c)9.15%d)7.85%Answer: (c)Use the following table to solve questions 26 through 28.Year Real Cash Flow Nominal Cash Flow1 800,000 840,0002 800,000 882,0003 800,000 926,1004 800,000 972,405In the above table, the real cost of capital is 11% per year, and the expected rate of inflation is 5% per year. The initial outlay for this project is $1.5 million.ing the information given above, determine the nominal cost of capital.a)16.55%b)15.45%c)11.66%d) 5.7%Answer: (a)pute the NPV of the real cash flows.a)$714,189b)$981,957c)$1,009,971d)$1,290,317Answer: (b)pute the NPV of the nominal cash flows.a)$714,189b)$981,957c)$1,009,971d)$1,290,317Answer: (b)29.How can NPV be properly calculated?a)by using the nominal cost of capital to discount nominal cash flowsb)by using the real cost of capital to discount real cash flowsc)neither (a) nor (b)d)both (a) and (b)Answer: (d)Use the following information to answer questions 30 through 35:A new type of candy bar is being considered by ChocoLicious. This project is completelyindependent of all the other projects at ChocoLicious. An outlay of $3.1 million is required for equipment to produce the new product, and additional net working capital in the amount of $1.5 million is also required. The firm will recover all working capital at the end of the project. The project will be terminated in five years and the equipment will be fully depreciated over fiver years using the straight-line method. Revenues are expected to be $5 million per year during the project, while operating expenses (excluding depreciation) for the project are expected to be $2 million per year. There will be an additional $0.5 million working capital requirement during the first year, and no working capital additions beyond that time. The required rate of return for this project is 12% and the relevant tax rate is 40%. Calculate the NPV of this project.30.What is the annual depreciation?a)$0.62 millionb)$0.81 millionc)$0.92milliond)$1.54 millionAnswer: (a)31.What is the net cash flow in year 1?a)$1.428 millionb)$1.548 millionc)$2.048 milliond)$2.458 millionAnswer: (b)32.What is the total cash flow in year 3?a)$1.428 millionb)$1.548 millionc)$2.048 milliond)$2.458 millionAnswer: (c)33.What is the total cash flow in year 5?a)$2.048 millionb)$2.548 millionc)$3.548 milliond)$4.048 millionAnswer: (d)34.Which is closest to the NPV of the project?a)$2.34 millionb)$2.78 millionc)$3.47 milliond)$3.92 millionAnswer: (c)35.What is the IRR of project?a)34.35%b)35.23%c)37.35%d)39.29%Answer: (d)36.Apex Corporation is considering the purchase of Zenith Corporation. The owners of ZenithCorporation are asking $75 million in cash and the managers of Apex Corporation estimate that, once under their control, Zenith Corporation will generate cash flows of $20 million per year for five years. The cash flows are net of taxes. The IRR of this investment is ________.a)8.17%b)10.42%c)15.34%d)20%Answer: (b)37.BGB Corporations is considering a project that will pay nothing for the first three years,$80,000 in the fourth year, $120,000 in the fifth year, and $160,000 in the sixth year. The appropriate discount rate is 8.8% and the project requires an investment tomorrow of$150,000 if we accept the project. The NPV of this project is:a)$149,135b)$124,939c)$94,901d)$82,263Answer: (d)Use the following information to answer questions 38 through 41.NetProducts Inc. is considering installing a new server. The new machine costs $61,000 and is expected to have a useful economic life of 5 years, after which it will have a book value of $0. In addition to the equipment costs, management expects installation costs of $9,000 and an initial outlay for net working capital of $7,000.The new server is expected to generate an additional $16,000 per year in earnings after tax over its useful life, but an additional $4,000 per year is required in net working capital. The net working capital will be recovered by the end of the fifth year. NetProducts Inc. has cost of capital (k) of 20%.38.What is the net cash flow in year 1?a)$12,000b)$26,000c)$30,000d)$34,000Answer: (b)39.What is the total cash flow in year 5?a)$26,000b)$30,000c)$46,000d)$53,000Answer: (d)40.What is the NPV of this project?a)$11,606.59b)$8,793.45c)$5,176.55d)$755.90Answer: (a)41.What is the IRR of this project?a)30.03%b)26.01%c)22.88%d)20.45%Answer: (b)Short Problems1.Explain why the internal rate of return (IRR) is not a good measure for ranking mutuallyexclusive projects.Answer: In some cases the ranking system according to IRR may be inconsistent with the objective of maximizing shareholder value. IRR is not a good measure for rankingmutually exclusive projects since a project's IRR is independent of its scale.2.You are considering two investment projects with the following patterns of expected futurenet after-tax cash flows:Year Project A Project B0 –$9 million –$9 million1 $2 million $4.0 million2 $2.5 million $3.5 million3 $3.0 million $3.0 million4 $3.5 million $2.5 million5 $4.0 million $2.0 millionFor both projects, the appropriate cost of capital is 11%. Which project would yourecommend and why?Answer:NPV A= PV – initial outlay= $1,703,796NPV B= PV – initial outlay= $2,471,586Project B is better than Project A3.Consider an investment that requires an initial outlay of $3 million. In the absence of inflationthis investment is expected to produce an annual after-tax cash flow of $800,000 for six years.The cost of capital for this project is 12%. Compute the NPV and internal rate of return (IRR) of this investment. Does this seem a worthwhile investment?Answer:NPV = PV – initial outlay= $289,126IRR = 15.34%NPV > 0and IRR > cost of capitalThis appears to be a worthwhile investment based on NPV and IRR.4.Projects requiring capital expenditures fall into three categories. What are they? Discuss howideas for investment projects evolve.Answer:Most investment projects requiring capital expenditures fall into three categories:new products, cost reduction, and replacement of existing assets. Ideas forinvestment projects can come from customers and competitors, or from within thefirm's own R&D or production departments.5.Explain the manner in which firms use (or should use) the cost of capital in computing the netpresent value for a project.Answer:The correct cost of capital is the one applicable to firms in the same industry asthe new project. If the project happens to be a "mini-replica" of the assetcurrently held by the firm, then management should use the firm's cost of capitalin computing the project's NPV.6. A firm is considering investing $15 million in machinery equipment that is expected to have auseful life of five years and is expected to reduce the firm's labor costs by $5 million per year.Assume the firm pays a 35% tax rate on accounting profits and uses the straight-linedepreciation method. What is the after-tax cash flow from the investment in years 1 through 5?If the hurdle rate for this investment is 16% per year, is it worthwhile? What are theinvestment's IRR and NPV?Answer:Increase in after-tax cash flow = Increase in before tax cash flow – increase intaxes= $5,000,000 – (5,000,000 – 3,000,000)(0.35)= $4,300,000NPV = PV - Initial Outlay= 14,079,463 – 15,000,000= -$920,537IRR = 13.34%This is not a worthwhile project based on NPV and IRR.7.Consider two projects but the projects last for different periods of time. Project A has aninitial outlay of $5 million and is expected to generate an equivalent 5 year annuity at adiscount rate of 11%. Project B requires twice the initial outlay, but will last ten years at the same discount rate. Which is the preferred project based on annualized capital cost?Answer:Project A:n I PV FV PMT5 11% -5,000,000 0 ?PMT = $1,352,852 per yearProject B:n I PV FV PMT10 11% -10,000,000 0 ?PMT = $1,698,014 per yearProject A is the preferred alternative because it has the lower annualized capitalcost.8.Consider the following mutually exclusive projects, for a firm using a discount rate of 10%:Project Initial Investment NPV IRRA $1,000,000 $100,000 10.2%B $100 $1 11%C $50,000 $70,000 23%D $200,000 $24,000 13%Which project should the firm accept?Answer: Note the scaling differences associated with these projects, and the conflicting NPV and IRR results. In such cases, the project with the highest NPV should be chosen. Therefore the firm should accept Project A.9.Two projects being considered are mutually exclusive and have the following projected cashflows:Year Project A Project B0 –$50,000 –$50,0001 0 15,6252 0 15,6253 0 15,6254 0 15,6255 99,500 15,625If the required rate of return on these projects is 10 percent, which should be chosen and why?Answer: Calculate net present value of each project and choose the project with thehigher NPV.Net Present Value (Project A) = $11,781.67Net Present Value (Project B) = $9,231.04Choose Project A.10.Consider the following mutually exclusive, average risk projects, for a firm with a discountrate of 9%:Project Initial Investment NPV IRRA $100 $1 11%B $25,000 $35,000 23%C $500,000 $50,000 10.2%D $100,000 $12,000 13%Which project should the firm accept?Answer:Choose Project C – it has the highest NPV.Note the scaling differences associated with these projects, and the conflicting NPV and IRR results. In such cases, the project with the highest NPV should be chosen. Therefore the firm should accept Project C.11.You are evaluating two mutually exclusive projects for Licorice Inc., with the following netcash flows:Year Project A Project B0 $(100,000) ($100,000)1 55,000 35,0002 45,000 38,0003 40,000 41,0004 35,000 42,0005 0 45,000If Licorice's cost of capital is 15%, which project should you choose?Answer:Choose the project with the higher NPV.Net Present Value (Project A) = $28,164.56Net Present Value (Project B) = $32,513.00Choose Project B.12.Pluto Inc. is considering the purchase of Neptune Corp. The owners of Neptune Corp. areasking for $150 million in cash. The managers of Pluto estimate that, under their control, Neptune Corp. will generate cash flows of $12 million per year for five years and then be sold for $200 million. The IRR of this investment is:Answer:First of all, set up the cash flows associated with this investment:Year Cash Flow___0 ($150,000,000)1-4 $12,000,000/yr5 $212,000,000Using a cash flow worksheet, the IRR = 13.13% per year.13.You are evaluating two independent projects for Licorice Corporation, with the following netcash flows:Year Project A Project B0 –$100,000 –$100,0001 55,000 35,0002 45,000 38,0003 40,000 41,0004 35,000 42,0005 0 45,000If Licorice Corp's cost of capital is 9%, which project(s) should be accepted?Answer:Net Present Value (Project A) = $44,016.54Net Present Value (Project B) = $54,754.23Note that these are independent projects; accepting one does not preclude accepting the other. Since both projects have positive NPVs, both should be accepted.14.Oscar’s Corp. is considering starting a new business involving bicycle production. This newbusiness involves purchases of $8 million of new equipment. This new business is anticipated to generate net income of $1.43 million per year for 6 years. The company uses straight-line depreciation to zero salvage value for tax purposes. Assuming a 30 percent tax rate and a 10 percent discount rate, calculate the project's IRR.Answer:Dep = ($8,000,000)/6= $1,333,333/yrAnnual cash flow = Net income + noncash charges= $1.43 million + $1,333,333= $2763,333/yrCalculate the internal rate of return = 25.85%Since IRR > discount rate, accept project.15.Brunhilde Corporation is considering a project that will pay $10,000 at the end of the firstyear, $20,000 at the end of the second year, and $40,000 at the end of the third year. The project's appropriate discount rate is 11% and it will require an investment tomorrow of$50,000 if accepted. Calculate the NPV of this project.Answer:The cash flows for this project are:Year Cash flow0 ($50,000)1 10,0002 20,0003 40,000NPV (@ 11% discount rate) = $4,489.1116.You are analyzing a capital budgeting project and, as shown by ???, some numbers areunreadable. You can read the following information:Cash Flows at the end of: Year 0 = ($24,300)Year 1 = $10,800Year 2 = $ 6,000Year 3 = $ 2,600Year 4 = $ ???Year 5 = $ 9,300The Cost of Capital is 13%, the NPV = –$2,663.48 and the IRR = ???%. Your superior, ignoring the important fact that we should reject the project, is demanding to know the Cash Flow in Year 4. Calculate the cash flow in Year 4.Answer:Solve the expression:10,800/1.13 + 6,000/(1.13)2 + 2,600/(1.13)3 + ???/(1.13)4 + 9,300/(1.13)5 –24300 =–2,663.48??? = $86517.Consider the following normal, independent projects that are being considered for next year'scapital budget. The firm had been using a cost of capital of 16%, but recently found out that the correct cost of capital was 10%. Your firm uses discounted cash flow methods (NPV, IRR) to choose projects. You are given the following information.Project Initial Investment NPV@16%IRRA $1,000,000 –$200,000 13.9%B $4,000,000 –$900,000 11.1%C $2,000,000 –$180,000 8.4%Note, the above information is correct except that the NPVs were calculated using 16%instead of 10%. Which project(s) should the firm accept?Answer: Since the cost of capital has decreased, the NPV for each project will change.However, we do not have the annual cash flows that we need to recompute NPV. Insteadwe consider IRR. Now Project A and Project B have IRRs greater than the cost of capital.The firm should accept projects A and B.18.You are considering two different pieces of equipment for your business. Either of them willserve your purpose equally well; however, they have different acquisition costs, operating costs, and useful lives. The specific characteristics of each piece of equipment are:Machine A Machine B Acquisition cost $50,000 $70,000Operating cost per annum 10,000 9,000Useful life 3 years 5 years Salvage value 0 0If you anticipate remaining in business for at least 15 years, and your discount rate is 10%, which machine should you select?Answer:PV of costs (Project A) = 50,000 + 24,868.52 = $74,868.52PV of costs (Project B) = 70,000 + 34,117.08 = $104,117.08Now determine which project is the cheaper alternative. Calculate the annualized cost:Project A:PV I N Result___________-74,868.52 10 3 PMT = $30,105.74Project B:PV I N Result___________-104,117.08 10 5 PMT = $27,465.82Choose Project B since its annualized cost is lower than that of Project A.19.Consider the following normal, independent projects that are being considered for nextyear’s capital budget. The firm had been using a cost of capital of 17%, but recently found out that the correct cost of capital was 10%. Your firm uses discounted cash flow methods (NPV,IRR) to choose projects. You are given the following information about the projects.Project Initial Investment NPV@17% IRRA $2,000,000 –$1,470,000 8.4%B $6,000,000 –$1,200,000 11.1%C $1,500,000 –$450,000 13.9%Note, the above information is correct except that the NPVs were calculated using 17% instead of 10%. Which project(s) should the firm accept?Answer:Since the cost of capital has decreased, this may change our assessment of the projects.To recompute the NPV, we need the annual cash flows, which are not displayed, so weneed to take a look at IRR instead. Now Projects B & C have IRRs greater than the cost of capital. The firm should accept Project B and Project C.20.Makine Corp. is considering a new business. This business involves startup costs of $13million. This business is anticipated to generate net income of $1.35 million per year for 13 years. The company uses straightline depreciation to zero salvage value for tax purposes.Assuming a 30 percent tax rate and a 10 percent discount rate, calculate the project’s NPV.Answer:Annual depreciation = $13 million/13= $1 millionAnnual net cash flow = net income + depreciation= 1.35 million + $1 million= $2.35 millionNPV = $3,692,887Longer Problems1.Reyes Inc. is considering investing $8 million in computer equipment that is expected to havea useful life of 4 years, and is expected to reduce the firm’s labor costs by $3 million peryear. Assume that Reyes, Inc. pays a 35% tax rate on accounting profits and uses the straight-line depreciation method. What is the after-tax cash flow from the investment in years 1through 4? If the firm's hurdle rate for the project is 14% per year is it worthwhile? What are the investment's NPV and IRR?Answer:Increase in after-tax cash flow = Increase in before tax cash flow –increase in taxes= $3 million – (3 – 2 million)(0.35)= $3 million – $0.35 million= $2.65 millionNPV = PV – Initial Outlay= $7,721,338 – $8,000,000= -$278,662IRR = 12.29%Based on NPV and IRR, the project does not seem worthwhile.2.Consider a project which involves an initial outlay of $5 million and which will generate anexpected annual cash flow of $1.6 million. The cost of capital used is 13%. This project will last 6 years.(a) Compute the project's NPV(b) Compute the IRRAnswer:(a) NPV = PV - Initial Outlay= $6,396,080 – $5,000,000= $1,396,080(b) IRR = 22.56%3.Sound Wired Corporation is considering an investment of $1,000,000 in equipment forproducing a new type of compact disc. The equipment has an expected life of five years.Sales are expected to be 150,000 units per year at a price of $25 per unit. Fixed costsexcluding depreciation of the equipment are $300,000 per year, and variable costs are $13 per unit. The equipment will be depreciated over five years using the straight-line method with a zero salvage value. Working capital requirements are assumed to be 1/12 of annual sales. The market capitalization rate for the project is 17% per year, and the corporation pays income tax at the rate of 35%. What is the project's NPV? What is the break-even volume?Answer:Sales revenue = $25 per unit x 150,000 units per year= $3,750,000 per yearInvestment in NWC = 1/12 x $3,750,000= $312,500Total investment = $1,000,000 + $312,500= $1,312,500Depreciation = $1,000,000 / 5= $200,000 per yearTotal annual operating costs = $13 x 150,000 + $500,000= $2,450,000 per yearCF = net income + depreciation= (1 - 0.35)(3,750,000 - $2,450,000) + $200,000= $1,045,000 per yearNPV = PV - Initial Outlay= $3,343,317 - $1,312,500= $2,030,817To determine break-even volume:In order for NPV to be 0, what must the cash flow from operations be?N I PV FVPMT5 17% -1,312,500 312,500 ?PMT = $365,689Cash Flow = Net profit + Depreciation$365,689 = 0.65 (12Q – 500,000) + 200,000$365,689 = 7.8Q – 325,000 + 200,000$365,689 = 7.8Q – 125,000$490,000 = 7.8Q62,909 = QSo the break-even volume is 62,909.4.In anticipation of the year 2008 Olympics in Beijing, China, TingTing Inc. is consideringgetting into the souvenir business. One idea under consideration is the production of panda bear statuettes. A machine costing $60,000 will have to be purchased and this new machine will have a life of three years (for both actual and tax purposes) and after three years the machine will have zero salvage value. In terms of depreciation, the machine will bedepreciated on a straight-line basis. TingTing Inc. believes it can sell 5,000 souvenir statues per year at a price of $15 each. For each statue the variable costs are $3 and fixed expenses (this does not include depreciation) will be $4,000 per year. The cost of capital for TingTing Inc. is 14% and the tax rate is 35%. The figures given above assume that there will be no inflation.(a) Compute the series of expected cash flows.(b) Compute the project's NPV. Is it a worthwhile project?(c) What is the NPV breakeven quantity?Now assume that over the next three years the expected rate of inflation is 7% per year.Also assume that in this environment both revenues and nondepreciation expensesincrease at that rate and the cost of capital remains the same.(d) Compute the series of expected nominal cash flows.(e) Compute the NPV of nominal cash flows. Is the project worth undertaking?Answer:(a) Increase in revenue = $75,000Fixed costs (ex. dep) = $4,000Depreciation = $20,000Total Fixed Cost = $24,000Total variable costs = $15,000Total operating costs = $39,000Operating Profit = $36,000Taxes = $12,600After-tax operating profit = $23,400Net Cash Flow = $43,400 in each of the next three yrs.(b) NPV = PV – Initial Outlay= $100,759 – $60,000= $40,759The project is worthwhile(c) n I PV FV PMT3 14% –60,000 0 ?PMT = $25,844Incremental cash flow = Increase in net profit + increase in depreciation$25,844 = 0.65(12Q - 24,000) + 20,000Q = 2,749 units per year(d) CF1= $43,400(1.07) = $46,438CF2= $46,438(1.07) = $49,688.66CF3= $49,688.66(1.07) = $53,167。
博迪《金融学》第2版课后习题及详解(金融市场和金融机构)【圣才出品】
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博迪《金融学》第2版课后习题及详解第2章金融市场和金融机构一、概念题1.柜台交易市场(over-the-counter markets)答:柜台交易市场又称“店头市场”或“场外市场”,是指在证券交易所之外的某一固定场所,供未上市的证券或不足成交批量的证券进行交易的市场。
柜台交易市场因买卖双方多通过电话、电报协商完成交易,故又称之为电话市场。
柜台交易市场的特点是:①属于场外交易,在柜台或通过电讯设施完成交易;②主要交易证券为各种债券和不能在证券交易所登记上市的股票;③证券交易价格由证券买卖双方协议成交。
2.资金流动(flow of funds)答:资金流动是指资金在金融体系内的流动,即资金在金融体系中不同的参与者之间的流动,或资金从盈余部门通过金融市场或金融中介机构流入赤字部门的过程。
资金流可以通过图2-2表示。
图2-2图2-2显示,资金盈余部门的一部分资金通过银行这样的金融中介(图的下方)流向赤字部门,还有一部分资金通过金融市场(图的上方),而不通过金融中介流向赤字部门。
3.道德风险(moral hazard)答:道德风险是指在委托-代理理论中,代理人为了追求自身利益最大化而不惜损害委托人利益的行为,即代理人不能为实现委托人的最大利益而努力工作。
当一个博弈的双方签订了合约以后(如经理雇用了一个职工,股东聘用了一个经理,保险公司接受了一个投保人的投保等),存在着有关某个参与者的行动的信息不对称(如经理不能观测到职工的工作努力水平,股东不能观测到经理的工作努力水平,保险公司不能观测到投保人对被保险的物品的保护程度等)。
信息经济学将拥有私人信息的这个参与者称为“代理人”,将没有私人信息的参与者称为“委托人”。
在这种情况下,理性的代理人会从自身利益最大化的角度来决定自己的行动,而这些行动很可能不符合委托人的利益,从而是委托人不希望代理人选择的,道德风险由此产生。
4.逆向选择(adverse selection)答:逆向选择是指掌握信息较多的一方利用对方对信息的无知隐蔽相关信息,获取额外利益,客观上导致不合理的市场分配行为。
兹维博迪金融学第二版试题库9TB(1)
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Chapter NineValuation of Common StocksThis chapter contains 47 multiple choice questions, 17 short problems, and 9 longer problems. Multiple Choice1.In a quote listing of stocks, the ________ is defined as the annualized dollar dividend dividedby the stock’s price, and is usually expressed as a percentage.(a)cash dividend(b)dividend payout(c)dividend coverage(d)dividend yieldAnswer: (d)2.According to the discounted-dividend model, the price of a share of stock is the ________value of all expected ________ dividends per share, discounted at the market capitalization rate.(a)present; current(b)present; future(c)future; future(d)future; currentAnswer: (b)3.The value of common stock is determined by which of the following expected cash flows?(a)dividends and interest payments(b)dividends and maturity value of stock(c)dividends and net cash flows from operations of the firm(d)interest payments and maturity valueAnswer: (c)4.The ________ is the expected rate of return that investors require in order to be willing toinvest in the stock.(a)market capitalization rate(b)risk-adjusted discount rate(c)cost of debt(d)a and bAnswer: (d)5.The ________ of dividends is the most basic assumption underlying the discounted dividendmodel.(a)industry average(b)non-constant growth(c)constant growth(d)variabilityAnswer: (c)6.BHM stock is expected to pay a dividend of $2.50 a year from now, and its dividends areexpected to grow by 6% per year thereafter. What is the price of a BHM share if the market capitalization rate is 7% per year?(a)$250.00(b)$192.31(c)$25.00(d)$19.23Answer: (c)7.IOU stock is expected to pay a dividend of $1.67 a year from now, and its dividends are notexpected to grow in the foreseeable future. If the market capitalization rate is 7%, what is the current price of a share of IOU stock?(a)$11.69(b)$23.86(c)$116.90(d)$238.60Answer: (b)8.GMATS stock is currently selling for $34.50 a share. The current dividend for this stock is$1.60 and dividends are expected to grow at a constant rate of 10% per year thereafter. What must be the market capitalization rate for a share of GMATS stock?(a)4.90%(b)5.36%(c)14.64%(d)15.10%Answer: (d)9.Avacor stock is expected to pay a dividend of $1.89 a year from now, and its dividends areexpected to grow at a constant rate of 5% per year thereafter. If the market capitalization rate is 14% per year, what is the current price of a share of Avacor stock?(a)$13.50(b)$18.90(c)$21.00(d)$37.80Answer: (c)10.GRITO stock is currently selling for $46.10 a share. If the company is expected to pay adividend of $5.60 a year from now and dividends are not expected to grow thereafter, what is the market capitalization rate for a share of GRITO stock?(a)7.56%(b)8.23%(c)10.50%(d)12.15%Answer: (d)11.In the DDM model, if D1 and k are held constant, what will happen to the price of a stock ifthe constant growth rate gets higher?(a)the price of the stock will be higher(b)the price of the stock will hold constant(c)the price of the stock will be lower(d)it cannot be determined from the information givenAnswer: (a)12.The relation between earnings and dividends in any period is ________.(a)Dividends = Earnings/Net New Investment(b)Dividends = Earnings x Net New Investment(c)Dividends = Earnings + Net New Investment(d)Dividends = Earnings – Net New InvestmentAnswer: (d)13.Consider a firm called Nowhere Corporation, whose earnings per share are $12. The firminvests an amount each year that is just sufficient to replace the production capacity that is wearing out, and so the new investment is zero. The firm pays out all its earnings asdividends. Calculate the price of a share of Nowhere Corporation stock, give that k = 14%.(a)$168.00(b)$166.67(c)$85.71(d)$82.40Answer: (c)14.Consider a firm called SureBet Corporation. SureBet reinvests 55% of its earnings each yearinto new investments that earn a rate of return of 17% per year. Currently, SureBetCorporation has earnings per share of $12 and pays out 45% or $5.40 as dividends. Calculate the growth rate of earnings and dividends.(a)7.65%(b)8.50%(c)9.35%(d)24.75%Answer: (c)15.What adds value to the current price of a share of stock is ________.(a)growth per se(b)tax advantages(c)investment opportunities that earn rates of return > k(d)all of the aboveAnswer: (c)16.In order to evaluate the stock of Beltran Inc., an analyst uses the constant growth discounteddividend model. Expected earnings of $12 per share is assumed, as are an earnings retention rate of 70% and an expected rate of return on future investments of 17% per year. If the market capitalization rate is 14% per year, calculate the price for a share of Beltran stock.(a)$171.43(b)$367.35(c)$400.00(d)$857.14Answer: (a)17.In order to evaluate the stock of The Rendell-Vine Corporation, an analyst uses the constantgrowth discounted dividend model. Expected earnings of $12 per share is assumed, as are an earnings retention rate of 70% and an expected rate of return on future investments of 17% per year. If the market capitalization rate is 14% per year, what is the implied net present value of future investments?(a)$314.29(b)$281.64(c)$171.43(d)$85.72Answer: (d)18.In order to evaluate the stock of Toys’R’Me, an analyst uses the constant growthdiscounted dividend model. Expected earnings of $14 per share is assumed, as are anearnings retention rate of 60% and an expected rate of return on future investments of 17% per year. If the market capitalization rate is 15% per year, what is the implied net present value of future investments?(a)$23.34(b)$70.00(c)$93.34(d)$116.67Answer: (a)19.Firms with consistently high P/E multiples are interpreted to have either relatively ________market capitalization rates or relatively ________ present value of value-added investments.(a)low; low(b)high; high(c)high; low(d)low; highAnswer: (d)20.In a “frictionless” financial environment, the shareholders wealth is ________ the dividendpolicy the firm adopts.(a)increased by(b)decreased by(c)not affected by(d)determined byAnswer: (c)21.In a ________ the company pays cash to buy shares of its stock in the stock market, therebyreducing the number of shares outstanding.(a)cash dividend(b)share repurchase(c)stock split(d)a and bAnswer: (b)22.Stock splits and stock dividends ________ the number of shares of stock outstanding.(a)decrease(b)do not alter(c)increase(d)a or bAnswer: (c)23.SureBet Corporation has total assets with a market value of $15 million: $3 million in cashand $12 million in other assets. The market value of its debt is $3 million; of its equity $12 million. There are 1,000,000 shares of SureBet common stock outstanding, each with amarket price of $12. If SureBet distributes a cash dividend of $1.50 per share, the market value of its assets and of its equity ________ by ________.(a)increases; $1.5 million(b)increases; $10.5 million(c)decreases; $1.5 million(d)decreases; $10.5 millionAnswer: (c)24.SureBet Corporation has total assets with a market value of $15 million: $3 million in cashand $12 million in other assets. The market value of its debt is $3 million; of its equity $12 million. There are 1,000,000 shares of SureBet common stock outstanding, each with amarket price of $12. If SureBet repurchases shares worth $2.4 million, the resulting number of shares outstanding is ________ , with a price per share of ________.(a)200,000; $15(b)200,000; $12(c)800,000; $15(d)800,000; $12Answer: (d)25.“Frictions” that can cause a firm’s dividend policy to have an effect on the wealth ofshareholders include:(a)regulations(b)taxes(c)cost of external finance(d)all of the aboveAnswer: (d)26.Outside investors may interpret an increase in a corporation’s cash dividend as ________sign.(a)a positive sign(b)a negative sign(c)an indifferent sign(d)b or cAnswer: (a)27.From the perspective of a shareholder with regard to personal taxation, it is always ________for the corporation to pay out cash by ________.(a)better; cash dividends(b)worse; cash dividends(c)worse; share repurchases(d)it varies according to the situationAnswer: (b)28.An increase in a corporation’s cash dividend is most likely to ________.(a)decrease the price of its stock(b)increase the price of its stock(c)have no impact on the price of its stock(d)decrease trading activity of its stockAnswer: (b)29.Raising cash by issuing new stock is ________ to the corporation than raising cash byforegoing the payments of dividends.(a)is less costly(b)is more costly(c)is no different(d)just as costlyAnswer: (b)30.Gough Fraser is considering purchasing the stock of ASIOA Companies, which he plans tohold indefinitely. ASIOA just paid an annual dividend of $2.50 and the price of the stock is $48 per share. The earnings and dividends of the company are expected to grow forever at a rate of 6 percent per year. What annual rate of return does Gough expect on his investment?(a)10.58%(b)11.21%(c)11.52%(d)12.46%Answer: (c)31.Beazley Inc. just paid a dividend of $3.00 per share. This dividend is expected to grow at asupernormal rate of 15 percent per year for the next two years. It is then expected to grow at a rate of 6 percent per year forever. The appropriate discount rate for Beazley’s stock is 17 percent. What is the price of the stock?(a)$17.64(b)$27.27(c)$33.78(d)$46.15Answer: (c)32.Beazley Corporation would like to raise $100,000,000 by issuing preferred stock. Thepreferred stock will have a par value of $1,000 per share and pay a dividend of $72 per year.If the required rate of return for this stock is 16 percent, how many shares of preferred stock must Beazley issue?(a)450(b)16,000(c)222,222(d)265,332Answer: (c)33.If you use the constant dividend growth model to value a stock, which of the following iscertain to cause you to increase your estimate of the current value of the stock?(a)Decreasing the required rate of return for the stock(b)Decreasing the estimate of the amount of next year’s dividend(c)Decreasing the expected dividend growth rate(d)All of the aboveAnswer: (a)34.The constant dividend growth model may be used to find the price of a stock in all of thefollowing situations except when:(a)g < k(b)k < g(c)g = 0(d)k≠ gAnswer: (b)35.CarsonCorp just paid an annual dividend of $3.00. Dividends are expected to grow at aconstant rate forever. The price of the stock is currently $63.00. The required rate of return for this stock is 15 percent. What is the expected growth rate of CarsonCorp’s dividend?(a)5.00%(b)5.48%(c)6.33%(d)10.00%Answer: (a)36.The common stock of Century Inc. is expected to pay a dividend of $2.00 one year fromtoday. After that the dividend is expected to grow at a rate of 10 percent per year for two years and then at a rate of 5 percent per year forever. If the required rate of return for this stock is 15 percent what is the current price?(a)$12.00(b)$18.29(c)$21.69(d)$25.40Answer: (c)37.A firm’s common stock is trading at $80 per share. In the past the firm has paid a constantdividend of $6 per share. However, the company has just announced new investments that the market did not know about. The market expects that with these new investments, thedividends should grow at 4% per year forever. Assuming that the discount rate remains the same, what will be the price of the stock after the announcement?(a)$94.50(b)$156.00(c)$171.43(d)$178.29Answer: (d)38.If the model below is to give a reasonable valuation of a stock, which of the followingpossible situations must be excluded?P0 = D1/(r – g)(a)There is no growth.(b)The growth rate exceeds the required rate of return.(c)The required rate of return is exceptionally high.(d)Growth is constant.Answer: (b)39.According to the constant growth model of stock valuation, capital appreciation in commonstock is a direct result of ________.(a)growth in future dividends(b)a reduction in the required rate of return(c)growth in corporate assets(d)a growth rate that exceeds the required rate of returnAnswer: (a)Questions 40 through 43 refer to the following information:New competition in Sophco’s market is going to have an impact on the growth in thefirm’s dividends. A current dividend of $1.00 was paid yesterday by Sophco, and thisdividend is expected to increase by 25% in the first year. After that point, the growth individends is expected to “decay” to the firm’s long-run constant growth of 10%. Sucha “decay” process is one in which dividend growth declines by 5 percentage points peryear up to the point where the expected constant rate of dividend growth is reached. So,year 2 dividend will be 20 percent higher than year 1, year 3 dividends will be 15 percent higher than year 1, and after year 3, dividends will grow by 10 percent forever. Forproblems 40 – 43, assume investors in Sophco require a rate of return of 15%.40.Calculate Sophco’s dividend in year 2.(a)$1.13(b)$1.25(c)$1.5(d)$1.73Answer: (c)41.Calculate the Sophco’s dividend in year 4.(a)$1.24(b)$1.57(c)$1.73(d)$1.90Answer: (d)42.Determine the price of Sophco’s stock at the end of year 3 (just after the dividend has beenpaid).(a)$26.12(b)$28.34(c)$38.00(d)$39.73Answer: (c)43.Calculate the current price of Sophco’s stock.(a)$26.12(b)$28.34(c)$38.00(d)$39.73Answer: (b)Questions 44 through 47 refer to the following information:New competition in Acme Unlimited’s market is going to have an impact on the growth of the firm’s dividends. A current dividend of $1.50 was paid yesterday, and thisdividend is expected to increase by 35% in the first year. After that point, the growth individends is expected to “decay” to the firm’s long run constant growth of 5%. Such a “decay” process is one in which dividend growth declines by 10 percentage points per year up to the point where the expected constant rate of dividend growth is reached. So, year 2 dividend will be 25 percent higher than year 1, year 3 dividend will be 15 percent higher, and after year 3, dividends will grow by 5 percent forever. Assume that investors require a rate of return of 17 on Acme Unlimited’s stock.44.Calculate the dividend in year 2.(a)$2.54(b)$2.92(c)$3.21(d)$3.30Answer: (a)45.Calculate the dividend in year 4.(a)$2.35(b)$2.54(c)$3.21(d)$3.53Answer: (c)46.Determine the price of Acme Unlimited’s stock at the end of year 3 (just after the dividendhas been paid).(a)$22.13(b)$26.75(c)$29.67(d)$34.24Answer: (b)47.Calculate the current price of Acme Unlimited’s stock.(a)$22.13(b)$26.75(c)$29.67(d)$34.24Answer: (a)Short Problems1.Discuss the two ways in which a corporation can distribute cash to its shareholders.Answer:There are two ways a corporation can distribute cash to its shareholders: by paying acash dividend or by repurchasing the company’s shares in the stock market. When acompany pays a cash dividend, all shareholders receive cash in amounts proportional to the number of shares they own.In a share repurchase, the company pays cash to buy shares of its stock in the stockmarket, thereby reducing the number of shares outstanding. In this case, onlyshareholders who choose to sell some of their shares will receive cash.2.Does growth “per se” add value to the current price of a share? If not, what does add valueto a share’s current price?Answer:Growth per se does not add value. What adds value is the opportunity to invest inprojects that can earn rates of return in excess of the required rate, k. When a firm’sfuture investment opportunities yield a rate of return equal to k, the stock’s value can be estimated using the formula P0 = E1/k.3.In order to evaluate the stock of DippinDonuts, an analyst uses the constant growthdiscounted dividend model. Expected earnings of $15 per share are assumed, as are anearnings retention rate of 70% and an expected rate of return on future investments of 18% per year. If the market capitalization rate is 15% per year, what is the implied net present value of future investments?Answer:g = 0.7 x 0.18= 12.6%Use the constant growth formula to solve for P0:P0 = D1/(k – g)= 4.50/(0.15-0.126)= $187.50Next find P0 with the formula P0 = E1/k:= 15/0.15= $100The NPV of future investments is the difference between these two values: $187.50 –$100 = $87.504.In order to evaluate the stock of EasyStreet Corporation, an analyst uses the constant growthdiscounted dividend model. Expected earnings of $16 per share are assumed, as are anearnings retention rate of 60% and expected rate of return on future investments of 17% per year. If the market capitalization rate is 14% per year, what is the implied net present value of future investments?Answer:g = 0.6 X 0.17= 10.2%Use the constant growth formula to solve for P0:P0 = D1/(k – g)= $6.40/(0.14 – 0.102)= $168.42Next find P0 with the formula P0 = E1/k:= 16/0.14= $114.29The NPV of future investments is the difference between the two values: $168.42 –$114.29 = $54.13.anic Earth stock is expected to pay a dividend of $2.70 per share a year from now, and itsdividends are expected to grow by 7% per year thereafter. If its price is now $30 per share, what must be the market capitalization rate?Answer:Use the constant growth formula to solve for k:P0 = D1/(k – g)30 = 2.70/(k – 0.07)k = 16%6.Walch stock currently sells for $27.62 a share, and is expected to pay a dividend of D1 a yearfrom now. If its dividends are expected to grow by 4.5% per year thereafter and thecapitalization rate is 15% per year, what is the value of D1?Answer:Use the constant growth formula to solve for D1:P0 = D1/(k – g)D1 = P0(k – g)= $27.62(0.15 – 0.045)= $2.907.Discuss how outside investors may interpret an increase in a corporation’s cash dividend asopposed to a decrease.Answer:Investors may interpret an increase in a corporation’s cash dividend as a positive sign since it would suggest that management is confident the earnings can be sustained in the future.The result is most likely to be an increase in stock price. A decrease could be viewed as a bad signal that will most likely cause a decline in stock price.8.Consider the balance sheet of SureThing Corporation:Assets Liabilities and Shareholders’ EquityCash: $3 million Debt: $3 millionOther Assets: $11 million Equity: $11 millionTotal: $14 million Total: $14 millionNumber of shares outstanding = 440,000Price per share = $25If SureThing pays a cash dividend of $2.50 per share, what will the balance sheet look like afterward?Answer:Balance sheet after payment of cash dividend:Assets Liabilities and Shareholders’ EquityCash: $1.9 million Debt: $3 millionOther assets: $11 million Equity: $9.9 millionTotal: $12.9 million Total: $12.9 millionNumber of shares outstanding = 440,000Price per share = $22.509.Consider the balance sheet of SureThing Corporation:Assets Liabilities and Shareholders’ EquityCash: $3 million Debt: $3 millionOther assets: $11 million Equity: $11 millionTotal: $14 million Total: $14 millionNumber of shares outstanding = 440,000Price per share = $25If SureThing Corporation repurchases shares worth $2.5 million, what will the new balance sheet for SureThing Corporation look like?Answer:Balance sheet after share repurchase:Assets Liabilities and Shareholders’ EquityCash: $0.5 million Debt: $3 millionOther assets: $11 million Equity: $8.5 millionTotal: $11.5 million Total: $11.5 million Number of shares outstanding = 340,000Price per share = $2510.Consider the balance sheet of SureThing Corporation:Assets Liabilities and Shareholders’ Equity Cash: $3 million Debt: $3 million Other assets: $11 million Equity: $11 million Total: $14 million Total: $14 million Number of shares outstanding = 440,000Price per share = $25If SureThing is paying a 20% stock dividend, what will the number of shares outstanding be?What will be the price per share?What would be the effect of a two-for-one stock split?Answer:After paying a 20% stock dividend:Number of shares outstanding = 528,000Price per share = $20.83After a two-for-one stock split:Number of shares outstanding = 880,000Price per share = $12.5011.Gough Fraser is considering purchasing the stock of ASIOA Companies, which he plans tohold indefinitely. ASIOA just paid an annual dividend of $3.00 and the price of the stock is $48 per share. The earnings and dividends of the company are expected to grow forever at a rate of 6 percent per year. What annual rate of return does Gough expect on his investment?Answer:D1 is 3.00. Given 6% annual growth, D1 = 3.00 x 1.06 = 4.80.Use the constant growth formula to solve for k:P0 = D1/(k – g)48 = 4.80/(k – 0.06)48k – 2.88 = 4.8048k = 7.68k = 16%12.Halpert Corporation would like to raise $100,000,000 by issuing preferred stock. Thepreferred stock will have a par value of $1,000 per share and pay a dividend of $48 per year.If the required rate of return for this stock is 15 percent, how many shares of preferred stock must Halpert issue?Answer:P0 = D1kP0 = $480.15= $320Number of shares = $100,000,000/$320= 312,500 shares13.Aslan Inc. just paid a dividend of $5.00 per share. This dividend is expected to grow at asupernormal rate of 20 percent per year for the next two years. It is then expected to grow at a rate of 5 percent per year forever. The appropriate discount rate for Aslan’s stock is 17percent. What is the price of the stock?Answer:D0 = $5D1 = $5(1.2)= $6.00D2 = $6.00(1.2)= $7.20D3 = $7.20(1.05) = $7.56P2 = D3/(k – g)= $7.56/(0.17 – 0.05)= $63.00P0 = $6.00/(1.17) + ($7.20 + $63.00)/(1.17)2= $56.4114.Druids Corp. just paid an annual dividend of $2.50. Dividends are expected to grow at aconstant rate forever. The price of the stock is currently $38.40. The required rate of return for this stock is 15 percent. What is the expected growth rate of Druids dividend?Answer:D0 = $2.50D1 = $2.50(1 + g)P0 = $38.40k = 15%Use the constant growth formula to solve for g:P0 = D1/(k – g)38.40 = 2.50(1 + g)/(0.15 – g)5.76 – 38.4g = 2.5 + 2.5g3.26 = 40.9g0.0797 = g15.The common stock of Century Inc. is expected to pay a dividend of $1.80 one year fromtoday. After that the dividend is expected to grow at a rate of 15 percent per year for two years and then at a rate of 5 percent per year forever. If the required rate of return for this stock is 15 percent, what is the current price?Answer:D1 = $1.80D2 = $2.07D3 = $2.38D4 = $2.50P3 = $2.50/(0.15 – 0.05)= $25.00P0 = 1.80/(1.15) + 2.07/ (1.15)2 + (2.38 + 25.00)/(1.15)3= $21.1416.A firm’s common stock is trading at $54 per share. In the past the firm has paid a constantdividend of $4 per share. However, the company has just announced new investments that the market did not know about. The market expects that with these new investments, thedividends should grow at 4% per year forever. Assuming that the discount rate remains the same, what will be the price of the stock after the announcement?Answer:P0 = $54Dividends have been constant, so:P0 = D1kk = $4/$54= 7.4%Now g = 4% and k stays same:P0 = 4(1.04)/(0.074 – 0.04)= $122.3517.Consider a stock that just paid a $3.00 dividend. You expect dividends on this stock to growat 25 percent per year for the next 3 years and 10 percent per year thereafter. If you require an18 percent return, how much are you willing to pay for this stock?Answer:D0 = $3D1 = $3(1.25)= $3.75D2 = 3.75(1.25)= $4.69D3 = 4.69(1.25)= $5.86D4 = $5.86(1.10)= $6.45P3 = $6.45/(0.18 – 0.10)= $80.63P0 = 3.75/(1.18) + $4.69/(1.18)2 + $86.63/(1.18)3= $59.19Longer Problems1.WannaGrow Corporation has expected earnings per share of $8. It has a history of payingcash dividends equal to 30% of earnings. The market capitalization rate for WannaGrow stock is 15% per year, and the expected rate of return on future investments is 18% per year.Using the constant growth rate discounted dividend model:a.What is the expected growth rate of dividends?b.What is the model’s estimate of the present value of the stock?c.What is the expected price of a share a year from now?Answer:a.g = earnings retention rate x ROE= 0.7 x 0.18= 12.6%b.D1 = 0.3 x $8= $2.40Use the constant growth formula to solve for D1:P0 = D1/(k – g)= $2.40/(0.15 – 0.126)= $100c.P1 = P0 (1 + g)= $100(1.126)P1 = $112.602.Dividends’R’Us Corporation is an all equity financed firm with a total market value of$150 million. The company holds $20 million in cash and has $130 million in other assets.There are 2,500,000 shares of common stock outstanding for this company, each with a market price of $52. Consider the following decisions and the impact on Dividends’R’Us Corporation’s stock price and on number of shares outstanding.a.The company pays a cash dividend of $5 per share.b.The company repurchases 250,000 shares.c.The company pays a 20% stock dividend.d.The company has a two-for-one stock split.Answer:a.The company pays out a total of $12.5 million in cash dividends. The stock pricefalls to $47 per share. Shareholder wealth may decline because personal taxesmay have to be paid on the cash dividend. The number of shares outstanding isstill 2.5 million shares.b.The stock price is unchanged. The number of shares outstanding is now2,250,000 shares.c.The number of shares outstanding is 1.2 x 2.5 million = 3 million shares.The stock price is $43.34.d.The number of shares doubles to 5,000,000.The stock price halves to $26.3.The stock of WishToGrow Corporation is currently selling for $15 per share. Earnings pershare in the coming year are expected to be $3. The company has a policy of paying out 70% of its earnings each year in dividends. The remaining 30% is retained and invested in projects that earn a 19% rate of return each year. This situation is expected to continue into theforeseeable future.ing the constant growth rate DDM, what rate of return do WannaGrow investorsrequire?b.By how much does its value exceed what it would be if all earnings were paid asdividends and nothing were reinvested?c.If WannaGrow were to cut its dividend payout ratio to 35%, what would happen to itsstock price?Answer:a.P0 = $15, E1 = $3, D1 = 0.7 x $3= $2.10g = 0.3 x 0.19= 5.7%P0 = D1/(k – g)15 = $2.10/(k – 0.057)k = 19.7%b.If all earnings were paid as dividends its price would be:P0 = 3/0.197= $15.23The current price is actually $0.23 less in value than the above model.c. D1 = 0.35 x $3 g = 0.65 x 0.19= $1.05 = 12.35%P0 = 1.05/(0.197 – 0.1235)= $14.29The stock price would drop by $0.71.。
兹维博迪金融学第二版试的题目库7TB(1)
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兹维博迪金融学第二版试的题目库7TB(1)Chapter SevenPrinciples of Market ValuationThis chapter contains 30 multiple choice questions, 10 short problems and 5longer problems.Multiple Choice1.In regard to an asset, the ________ is defined as the process well-informedinvestors must pay for it in a free and competitive market.(a)analyst value(b)technical value(c)competitive value(d)fundamental valueAnswer: (d)2.In corporate finance decision making, an extremely important rule is tochoose the investment that ________ current shareholders’ wealth.(a)minimizes(b)maximizes(c)provides zero change in(d)jeopardizesAnswer: (b)3.In asset valuation, the method used to accomplish the estimation depends onthe ________.(a)number of participants(b)quality of calculating instruments(c)richness of the information set available(d)geographic locationAnswer: (c)4.The ________ states that in a competitive market, if two assets areequivalent, they will tend to have the same market price.(a)Law of Real Interest Rates(b)Law of One Price(c)Law of Price Equivalency(d)Law of FuturesAnswer: (b)5.The Law of One Price is enforced by a process called ________, the purchaseand immediate sale of equivalent assets in order to earn a sure profit froma difference in their prices.(a)swapping(b)maximization(c)arbitrage(d)speculationAnswer: (c)6.________ refers to the totality of costs such as shipping, handling,insuring, and broker fees.(a)Shipping costs(b)Transaction costs(c)Installation costs(d)Insurance costsAnswer: (b)7.The Law of One price is a statement about the price of oneasset ________the price of another.(a)absolute to(b)relative to(c)multiplied by(d)independent ofAnswer: (b)8.If an entity borrows at a lower rate and lends at a higher rate, this is anexample of ________.(a)opportunity arbitrage(b)interest-rate arbitrage(c)exchange arbitrage(d)nominal arbitrageAnswer: (b)9.If arbitrage ensures that any three currencies are freely convertible incompetitive markets, then:(a)it is enough to know only one exchange rate to determine the third(b)we can estimate two exchange rates based on one exchange rate only(c)it is enough to know the exchange rates between any two in order todetermine the third(d)it is necessary to know all three ratesAnswer: (c)10.Suppose you have $15,000 in a bank account earning an interest rate of 4%per year. At the same time you have an unpaid balance onyour credit card of $6,000 on which you are paying an interest rate of 17% per year. Whatarbitrage opportunity do you face?(a)$240 per year(b)$600 per year(c)$780 per year(d)$1,020 per yearAnswer: (c)11.If the dollar price of Japanese Yen is $0.009594 per Japanese Yen and thedollar price of Chinese Yuan is $0.1433 per Chinese Yuan, what is theJapanese Yen price of a Chinese Yuan? (i.e., JPY/CNY)(a)0.001375 JPY/CNY(b)0.066950 JPY/CNY(c)9.594 JPY/CNY(d)14.936419 JPY/CNYAnswer: (d)12.If the dollar price of guilders is $0.5634 per Guilder and the dollar priceof Euros is $1.5576 per Euro, what is the Euro price of the Guilder? (i.e.,EUR/ANG)(a)0.361700 EUR/ANG(b)0.877552 EUR/ANG(c) 2.764643 EUR/ANG(d) 5.634 EUR/ANGAnswer: (d)13.Suppose the price of gold is 51.09 British pounds per ounce. If the dollarprice of gold is $100 per ounce, what would you expect the dollar price ofa British pound to be?(a)$1.95733 per GBP(b)$1.5109 per GBP(c)$0.5109 per GBP(d)$0.4891 per GBPAnswer: (a)Questions 14-18 refer to the following exchange rate table. To answer 14-18you will have to fill in the missing exchange rates.Peso (MXN) Euro (EUR) Cdn Dlr (CAD) U.S. Dollar(USD)U.S. Dollar $1Peso 10.398Euro 0.6420Cdn Dlr 1.000314.What is the Euro/Peso exchange rate? (i.e., EUR/MXN)(a)0.617426EUR/MXN(b)0.641807 EUR/MXN(c) 6.675516 EUR/MXN(d)16.196262 EUR/MXNAnswer: (a)15.What is the Cdn Dlr/Euro exchange rate? (i.e., CAD/EUR)(a)0.641807 CAD/EUR(b) 1.558099 CAD/EUR(c) 6.420 CAD/EUR(d)16.196262 CAD/EURAnswer: (b)16.What is the Euro/Cdn Dlr exchange rate? (i.e., EUR/CAD)(a)0.3583 EUR/CAD(b)0.641807 EUR/CAD(c) 1.558099 EUR/CAD(d)10.394 EUR/CADAnswer: (b)17.What is the Peso/Cdn Dlr exchange rate? (i.e., MXN/CAD)(a)0.096201 MXN/CAD(b)0.641807 MXN/CAD(c)10.394882 MXN/CAD(d)16.196262 MXN/CADAnswer: (c)18.What is the Peso/Euro exchange rate? (i.e., MXN/EUR)(a)0.617426 MXN/EUR(b) 6.675516 MXN/EUR(c)15.581112 MXN/EUR(d)16.196262 MXN/EURAnswer: (d)19.You are travelling in FarOut where you can buy 130 kranes(a krane beingthe unit of currency of FarOut) with a U.S. dollar at official FarOut banks.Your tour guide has a relative who dabbles in the black market and thisparticular relative will sell you kranes for just $0.00833 each on theblack market. How much will you lose or gain by exchanging $200 on theblack market instead of going to the bank?(a)you would gain approximately 1,660 kranes(b)you would lose approximately 1,660 kranes(c)you would gain approximately 1,990 kranes(d)you would lose approximately 1,990 kranesAnswer: (d)20.In estimating the value of a share of a firm’s stock, a simple model isto :(a)divide EPS by a P/E multiple(b)multiply EPS by a P/E multiple(c)multiply EPS by EAT(d)divide EPS by market valueAnswer: (b)21.A firm’s earnings per share are $6 and the industry average P/E multipleis 9. What would be an estimate of the value of a share of the firm’s stock?(a)$54.00(b)$45.00(c)$1.50(d)$0.67Answer: (a)22.The value of the asset as it appears in the financial statement is calledt he asset’s ________.(a)market value(b)fixed value(c)book value(d)expected value Answer: (c)23.Consider the following stock market reaction to the information containedin a company’s announcement. A corporation has justannounced that it must pursue the issuance of company equity. We could expect to see ________ inthe price of company stock.(a) a rise(b) a drop(c) a rapid rise(d)zero changeAnswer: (b)24.Consider what the stock market reaction to the following announcement wouldbe. A corporation has just announced that it is engaging in a stock splitof the company’s shares. We could expect to see a ________ in the overall market capitalization rate and a ________ in the price of company stock.(a)rise; drop(b)drop; rise(c)rise; drop(d)rise; dropAnswer: (a)25.The ________ is the proposition that an asset’s current price fullyreflects all publicly available information about future economicfundamentals affecting the asset’s value.(a)public markets hypothesis(b)efficient markets exchange rates(c)fundamental value proposition(d)efficient markets hypothesisAnswer: (d)26.The market price of an asset reflects the ________ of all analysts’opinions with heavier weights on analysts who control large amounts ofmoney and on those analysts who have better than average information.(a)best estimate(b)weighted average(c)highest estimate(d)lowest estimate Answer: (b)27.Assume that the worldwide risk-free real rate of interest is 4% per year.Inflation in Denmark is 9% per year and in the United States it is 7% peryear. Assuming there is no uncertainty about inflation, what are theimplied nominal interest rates denominated in Danish krone and in U.S.dollars, respectively?(a)16.63% (DKK); 13.50% (USD)(b)13.50% (DKK); 16.63% (USD)(c)13.36% (DKK); 11.28% (USD)(d)11.28% (DKK); 13.36% (USD)Answer: (c)28.The ________ theory states that the expected real interest rate on risk-free loans is the same all over the world.(a)nominal interest-rate parity(b)real interest-rate parity(c)efficient inflation rate parity(d)efficient market rateAnswer: (b)29.________ states that exchange rates adjust so as to maintain the same“real” price of a “representative” basket of goods and services aroundthe world.(a)Purchasing power parity(b)Efficient markets hypothesis(c)Market valuation model(d)Exchange rate equityAnswer: (a)30.Assume that the worldwide risk-free real rate of interest is 5% per year.Inflation in Australia is 9% per year and in Great Britain it is 12% peryear. Assuming there is no uncertainty about inflation, what are the implied nominal interest rates denominated in Australian dollars and GreatBritain pounds, respectively?(a)22.08% (AUD), 11.45% (GBP)(b)11.45% (AUD), 22.08% (GBP)(c)17.60% (AUD), 14.45% (GBP)(d)14.45% (AUD), 17.60% (GBP) Answer: (d)Short Problems1.Suppose you have $20,000 in a bank account earning an interest rate of 4%per year. At the same time you have an unpaid balance on your credit cardof $7,000 on which you are paying an interest rate of 18%per year. What isthe arbitrage opportunity you face?Answer: You could take $7,000 out of your bank account and pay downyour credit card balance. You would give up 4% per year in interestearnings ($280) but you would save 18% per year in interest expenses($1,260). So the arbitrage opportunity is worth $980 per year.2.Fill in the missing exchange rates in the following table:U.S. Dollar Euro Danish Krone Japanese Yen U.S. Dollar $1 1.5576 0.2088 0.009594Euro 0.6420Danish Krone 4.7898Japanese Yen 104.23Answer:U.S. Dollar Euro Danish Krone Japanese Yen U.S. Dollar $1 1.5576 0.2088 0.009594Euro 0.6420 1 Euro 0.1340 0.006159 Danish Krone 4.7898 7.46074 1 Krone 0.45954 Japanese Yen 104.23 162.35 21.761 Yen 13.You observe that the dollar price of the Mexican peso is $0.09618 and thedollar price of the Canadian dollar is $0.9997. What must the exchange ratebetween the Mexican peso and the Canadian dollar be for there to be no arbitrage opportunity?Answer: CAD/MXN = 0.096180.9997= 0.096208 CAD/MXN4.Suppose that the exchange rate is $0.2970 to the Israeli shekel. How couldyou make arbitrage profits with $10,000 if the dollar price of gold is $200per ounce and the shekel price is 750 ILS per ounce?Answer: Take $10,000 and buy 50 ounces of gold at $200 per ounce. Sell 50ounces of gold in Israel for 37,500 ILS (750 ILS per ounce). Take 37,500ILS and exchange it into dollars worth $11,137.50. The arbitrage profit is$1,137.50.5.You are travelling in FarOut where you can buy 150 kranes(a krane beingthe unit of currency in FarOut) with a U.S. dollar at official FarOut banks.Your tour guide has a relative who dabbles in the black market and this particular relative will sell you kranes for just $0.00685 each on the black market. How much would you gain or lose by exchanging $300 on the black market instead of going to the bank?Answer:On the official market: $300 x 150 kranes = 45,000 kranesOn the black market: $300 x 1/0.00685 kranes = 43,796 kranesHence, you would lose 1,204 kranes.6. A firm’s earnings per share are $5.50 and the industry average P/Emultiple is 8. What would be an estimate of the value of a share of the firm’s stock? Is it possible for firms being classifiedin the same industry to have different price/earnings multiples?Answer:Estima ted value share of stock = firm’s EPS x Industry average P/E= $5.50 x 8= $44.00Firms classified as being in the same industry may have different opportunities for growth in the future and may therefore differ in their P/E multiples.7.The P/E multiple of BHM Corporation is currently 5, while the P/E ratio ofthe S&P 500 is 10. What reasons could account for this difference?Answer:BHM’s reported earnings may be higher than they are expected to bein the future, or they may be inflated due to special accountingmethods used by BHM.BHM may be riskier than the S&P 500 either because it is in arelatively risky industry or has a relatively higher debt ratio.8.The price of Hubris Co. stock recently jumped when the CEO for the companyannounced an increased dividend payment for the year. What might account for such a market reaction?Answer: The market may believe the company’s future prospects look very bright (that is, higher earnings, less risk, sound growth, etc.)and that the company can sustain such an earnings growth.9.Assume that the worldwide risk-free real rate of interest is 4% per year.Denmark has an expected rate of inflation of 9% per year and in Spain hasan expected rate of inflation of 14% per year. Assuming there is no uncertainty about inflation, what are the implied nominal interest rates denominated in Kroner and Euros?Answer: Denmark: nominal interest rate = (1.04) x (1.09) – 1 = 13.36% per yearSpain: nominal interest rate = (1.04) x (1.14) –1= 18.56% per year10.Assume that the worldwide risk-free real rate of interest is 4% per year.The United Kingdom has an expected rate of inflation of 8% per year and inBelgium it is 10% per year. Assuming there is no uncertainty about inflation, what are the implied nominal interest rates denominated in Pounds Sterling and Euros?Answer: United Kingdom: nominal interest rate = (1.04) x (1.08) – 1= 12.32% per yearBelgium: nominal interest rate = (1.04) x (1.10) – 1= 14.40% per yearLonger Problems1.Let’s assume that you have operated your own business for 18 years. Forthe most recent fiscal year, sales were $15 million. Net Income for themost recent fiscal year was $1.5 million. The book value of your businesswas $11 million. Recently, a firm which is engaged in similar activities toyour own was sold and the following information was made public:Multiple of Book Value 0.8xMultiple of Net Income 11xMultiple of Sales 0.7xa)How would you determine an appropriate range of value for yourcompany?b)It has come to your attention that your company has futureinvestment opportunities that would be less profitable than thecompeting company above. What does this say about the valuation ofyour company?Answer: a) Multiple of Sales: 0.7x = $15 million x 0.7 =$10.5 millionMultiple of Net Income: 11x = $1.5 million x 11 = $16.5millionMultiple of Book Value: 0.8x = $11 million x 0.8 = $8.8millionb) The valuation of your company would be at the lower end ofthe range.2.BHM stock is trading for $47 per share on the NYSE and $45 per share on theSydney Stock Exchange. Assume that the costs of buying and selling BHMstock are negligible.a)How can you make an arbitrage profit?b)Over time what would you expect to happen to stock prices in NewYork and Sydney?c)Now assume that the cost of buying and selling shares of BHM are 2%per transaction. How does this affect your answers?Answer: a) You could buy BHM stock in Sydney and simultaneouslysell it in New York. Your arbitrage profit would be$2 per share.b)The prices would become equal.c)There could remain a 2% discrepancy between theprices which would be $1.84 in this instance.3.Suppose you have $50,000 in a bank account earning an interest rate of 3.5%per year. At the same time you have an unpaid balance on your credit cardof $13,000 on which you are paying an interest rate of 21% per year. Whatis the arbitrage opportunity you face?Answer: You could take $13,000 out of your bank account and pay downyour credit card balance. You would give up 3.5% per year in interestearnings ($455) but you would save 21% per year in interest expenses($2,730). So the arbitrage opportunity is worth $2,275 per year.4.The quotes from Hubris Bank and Modesty Bank are givenbelow:Hubris Bank: 106 Yen/$Modesty Bank: 104 Yen/$Answer the following questions based on these figures.a)If we assume no transaction costs, there is evidently an opportunityfor arbitrage here. If an arbitrageur started with $10,000, exactlyhow would (s)he make profits and how much profit would (s)he make?b)As many traders engage in arbitrage who do you expect to see in theabove quotes at these two banks?c)If there is a 1% transaction cost for transactions is there still anopportunity for arbitrage?Answer:Hubris Bank: 106 Yen/$ Modesty Bank: 104 Yen/$a)At Hubris Bank, buy Yen with dollars (Yen are cheaper).At Modesty Bank, buy dollars with Yen (dollars are cheaper).Start with $10,000:At Hubris Bank: $10,000 x 106 Yen/$ = 1,060,000 YenAt Modesty Bank: 1,060,000 Yen x 1$/104 Yen = $10,192.31 You make a profit of $192.31.b)The Yen will appreciate at Hubris Bank and it will depreciate atModesty Bank. Eventually the exchange rate will stabilize between106 Yen/$ and 104 Yen/$.。
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Chapter FourAllocating Resources Over TimeThis chapter contains 46 multiple-choice questions, 18 short problems and 9 longer problems. Multiple Choice1.________ is the process of going from present value to future value, whereas ________ isfinding the present value of some future amount.(a)Discounting; compounding(b)Compounding; annualizing(c)Compounding; discounting(d)Discounting; leasingAnswer: (c)2.________ refers to the interest rate at which money received before the end of the planninghorizon can be reinvested.(a)Internal rate(b)Reinvestment rate(c)Cost of equity(d)Compound interestAnswer: (b)3.The difference between an immediate annuity and an ordinary annuity is ________.(a)the number of periods(b)the amount of the payments(c)the interest rate(d)the timing of the paymentsAnswer: (d)4.The preferred stock of Tavistock Realty offers a cash dividend of $2.28 per year and it isselling at a price of $110 per share. What is the yield of Tavistock Realty preferred stock?(a)2.07%(b)2.12%(c)2.28%(d)48.25%Answer: (a)5.Consider the situation where you have won a $10 million lottery to be received in 25 annualequal payments of $400,000. What will happen to the present value of these winnings if the interest rate increases during the next 25 years?(a)it will not change(b)it will be worth more(c)it will be worth less(d)it cannot be determinedAnswer: (c)6.What is the effective annual rate on a bank account that has APR of 8 percent with interestcompounded quarterly?(a)6.12%(b)8.24%(c)8.48%(d)17.17%Answer: (b)7.You take out a loan with an APR of 10% with monthly compounding. What is the effectiveannual rate on your loan?(a)23.87%(b)21.6%(c)19.56%(d)18%Answer: (a)8.The CFO of CyberHelp Inc. has $250,000 in cash today that he wants to invest. How muchwill this investment be worth in four years if the current interest rate is 8%?(a)$270,000(b)$330,000(c)$340,125(d)$342,150Answer: (c)9.If you purchase a $12,000 certificate of deposit today with an APR of 14%, with quarterlycompounding, what will the CD be worth when it matures in 5 years?(a)$20,846.99(b)$20,865.60(c)$23,104.97(d)$23,877.47Answer: (d)10.The CFO of CyberChain Inc. plans to unleash a media campaign that is expected to cost $15million four years from today. How much cash should she set aside to pay for this if the current interest rate is 13%?(a)$9.2 million(b)$13.3 million(c)$14.4 million(d)$16.9 millionAnswer: (a)11.The NPV is a measure of how much your ________ wealth changes as a result of your choiceand if the NPV is ________it does not pay to undertake that choice.(a)future; negative(b)current; negative(c)current; positive(d)future; positiveAnswer: (b)12.The ________ is the rate that one can earn somewhere else if one did not invest in the projectunder evaluation.(a)opportunity cost of capital(b)cost of debt(c)cost of equity(d)weighted average cost of capitalAnswer: (a)13.You are trying to decide whether or not to buy a bond for $990 that will make one paymentfor $1,050 four years from today. What is the internal rate of return on the bond’s cash flows?(a)1.06%(b)1.48%(c)10.6%(d)14.8%Answer: (b)14.Calculate the NPV of the following cash flows: you invest $3,000 today and receive $300 oneyear from now, $700 two years from now, and $1,100 starting four years from now. Assume that the interest rate is 7%.(a)–$1,962.62(b)–$1,269.04(c)$1,269.04(d)$1,962.62Answer: (b)15.After each payment of an amortized loan, the outstanding balance is reduced by the amountof principal repaid. Therefore, the portion of the payment that goes toward the payment of interest is ________ than the previous period’s interest payment and the portion going toward repayment of principal is ________ than the previous period’s.(a)greater; lower(b)lower; lower(c)greater; greater(d)lower; greaterAnswer: (d)16.The present value of a future amount can be calculated with the equation ________.(a) PV = FV(1 + i)n(b) PV = FV(1 + i)(n)(c) PV = FV/(1 + i)n[NOTE: this should be formatted as a stacked fraction](d) PV = FV/(1 + i)(n) [NOTE: this should be formatted as a stacked fraction]Answer: (c)17.To compute the future value of a present amount use the compound amount factor defined as________.(a) FV = PV(1 + i)n(b) FV = PV(1 + i)(n)(c) FV = PV/(1 + i)n [NOTE: this should be formatted as a stacked fraction](d) FV = PV/(1 + i)(n) [NOTE: this should be formatted as a stacked fraction]Answer: (a)18.The earnings of BGB Computers have grown from $3.20 to $6.90 in 6 years. Determine theannual compound rate.(a)1.14%(b)13.7%(c)15.6%(d)115.6%Answer: (b)19.In five years you intend to go to graduate school. For each of your four years in graduateschool, you need to have a fund that will provide $25,000 per year at the beginning of each year. If the interest rate is 9% throughout, how much must you put in the fund today?(a)$64,996(b)$57,379(c)$50,184(d)$16,249Answer: (b)20.As part of your new job at CyberInc. the company is providing you with a new Jeep. Yourfirm will lease this $34,000 Jeep for you. The terms of the lease are seven annual payments at an interest rate of 10%, which will fully amortize the cost of the car. What is the annual lease payment?(a)$6,984.39(b)$5,342.86(c)$4,857.14(d)$3,584.00Answer: (a)21.A rule of thumb with using the internal rate of return is to invest in a project if the IRR is________ the opportunity cost of capital.(a)greater than(b)less than(c)less than or equal to(d)one-half ofAnswer: (a)22.When considering the timeframe of an investment, a rule followed by some is to choose theinvestment with ______ payback period.(a)the longest(b)the shortest(c)no(d)an infiniteAnswer: (b)23.A major problem with using the internal rate of return rule is ________.(a)there may be multiple cash outflows and multiple cash inflows(b)the internal rate of return may not exist(c)the internal rate of return may not be unique(d)all of the aboveAnswer: (d)24.The NPV is the difference between the ________ value of all ________ cash inflowsminus the ________ value of all current and future cash outflows.(a)future; present; present(b)present; future; present(c)present; present; future(d)present; future; futureAnswer: (b)25.When considering effective interest rates, as the compounding frequency increases, theeffective annual rate gets ________ and ________ but approaches ________.(a)larger; larger; a limit(b)smaller; smaller; a limit(c)larger; larger; infinity(d)smaller; smaller; infinityAnswer: (a)26.In 10 years you wish to own your business. How much will you have in your bankaccount at the end of 10 years if you deposit $300 each quarter (assume end of the period deposits)? Assume the account is paying an interest rate of 12% compounded quarterly.(a)$20,220(b)$21,060(c)$21,626(d)$22,620Answer: (d)27.The director of marketing for CyberProducts Inc. plans to unleash a media blitz that isexpected to cost $4.7 million three years from today. How much cash should she set aside today to pay for this if the current interest rate is 11%?(a) $6.43 million(b) $4.23 million(c) $3.62 million(d) $3.44 millionAnswer: (d)28.If you purchased a $10,000 certificate of deposit today with an APR of 12%, with monthlycompounding, what would be the CD worth when it matures in 6 years?(a) $56,340(b) $20,468(c) $19,738(d) $5,066Answer: (b)29.The manufacturing manager of CyberProducts Inc. estimates that she can save the company$16,000 cash per year over the next 8 years by implementing a recycling plan. What is the value of the savings today if the appropriate interest rate for the firm is 9%? Assume cash flows occur at the end of the year.(a) $64,240(b) $88,557(c) $96,527(d) $128,000Answer: (b)30.If the exchange rate between the U.S. dollar and the French Franc is $0.17 per French Franc,the dollar interest rate is 5.5% per year, and the French Franc interest rate is 4.5% per year, what is the "break-even" value of the future dollar/French Franc exchange rate one year from now?a)$0.172 per FFb)$0.179 per FFc)$5.827 per FFd)$5.882 per FFAnswer: (a)31.In any time value of money calculation, the cash flows and the interest rate must bedenominated ________.a)in the same currencyb)in different currenciesc)in terms of a third currencyd)in terms of the ECUAnswer: (a)32.If the exchange rate between the U.S. dollar and the Japanese yen is $0.00745 per yen, thedollar interest rate is 6% per year, and the Japanese interest rate is 7% per year, what is the “break-even” value of the future dollar/yen exchange rate one year from now?a)$135.49 per yenb)$134.23 per yenc)$0.00752 per yend)$0.00738 per yenAnswer: (d)33.Consider the situation where you are trying to decide if you should invest in a Swiss projector an American project. Both projects require an initial outlay of $15,000. The Swiss project will pay you 17,100 Swiss Francs per year for 6 years, whereas the American one will pay you $11,000 per year for 6 years. The dollar interest rate is 5% per year, the Swiss Franc interest rate is 6% per year, and the current dollar price of a Swiss Franc is $0.68 per Swiss Franc. Which project has the higher NPV?a)the U.S. project; its NPV is $55,832b)the U.S. project; its NPV is $40,833c)the Swiss project; its NPV is $42,179d)the Swiss project; its NPV is $57,178Answer: (c)34.The ________ is the rate denominated in dollars or in some other currency, and the ________is denominated in units of consumer goods.a)nominal interest rate; inflation interest rateb)nominal interest rate; real interest ratec)real interest rate; inflation interest rated)real interest rate; nominal interest rateAnswer: (b)35.Consider the situation where you are trying to decide if you should invest in a British projector U.S. project. Both projects require an initial outlay of $55,000. The British project will pay you 30,000 pounds per year for 6 years, whereas the American one will generate $40,000 per year for 6 years. The British interest rate is 5% per year, and the American interest rate is 6% per year; the current dollar price of a pound sterling is $1.6320 per pound sterling. Which project has the higher NPV?a)choose the U.S. one, it has a NPV of $196,693b)choose the U.S. one, it has a NPV of $141,693c)choose the British one, it has a NPV of $248,506d)choose the British one, it has a NPV of $193,506Answer: (d)36.What is the real interest rate if the nominal interest rate is 9% per year and the rate ofinflation is 6% per year?a) 1.5%b) 2.75%c) 2.83%d)7.5%Answer: (c)37.What is the nominal interest rate if the real rate of interest is 4.5% and the rate of inflation is6% per year?a)10.5%b)10.77%c)10.86%d)14.5%Answer: (b)38.What is the real rate of interest if the inflation rate is 6% per year and the nominal interestrate per year is 12.5%?a) 1.32%b) 6.13%c) 5.78%d)11.79%Answer: (b)pute the real future value, to the nearest dollar, of $2,000 in 35 years time. The realinterest rate is 3.2%, the nominal interest rate is 8.36%, and the rate of inflation is 5%.a)$6,023b)$6,853c)$33,223d)$11,032Answer: (a)40.The real interest rate is 3.2%, the nominal interest rate is 8.36% and the rate of inflation is 5%.We are interested in determining the future value of $200 in 35 years time. What is the future price level?a) 2.91b) 3.012c) 5.516d)16.61Answer: (c)41.Suppose your child is 9 years old and you are planning to open a fund to provide for thechild’s college education. Currently, tuition for one year of college is $22,000. How much must you invest now in order to pay enough for the first year of college nine years from now, if you think you can earn a rate of interest that is 4% more than the inflation rate?a)$21,154b)$16,988c)$15,585d)$15,457Answer: (d)42.Suppose you have a child who is 10 years old and you are planning to open a fund to providefor the child’s college education. Currently, tuition for one year is $22,000. Your child is planning to travel for two years before starting college. How much must you invest now in order to pay enough for the first year of college ten years from now, if you think you can earna rate of interest that is 5% more than the inflation rate?a)$10,190b)$13,506c)$13,660d)$20,952Answer: (b)43.When considering a plan for long run savings, if one does not have an explicit forecast ofinflation, then one can make plans in terms of:a)constant real payments and a real rate of interestb)constant nominal payments and a nominal rate of interestc)constant real payments and a nominal rate of interestd)constant nominal payments and a real rate of interestAnswer: (a)44.If the real rate is 4% and the rate of inflation is 6%, what is the nominal rate?a)8.16%b)10.16%c)10.24%d)10.36%Answer: (c)45.You have an investment opportunity with a nominal rate of 6% compounded daily. If youwant to have $100,000 in your investment account in 15 years, how much should you deposit today, to the nearest dollar?a.$43,233b.$41,727c.$40,930d.$40,660Answer: (d)46.You have determined the present value of an expected cash inflow stream. Which of thefollowing would cause the stream to have a higher present value?a)The discount rate increases.b)The cash flows are paid over a shorter period of time.c)The discount rate decreases.d)Statements (b) and (c) are both correct.Answer: (d)Short Problems1.CyberNow is opening an office in the U.S. CyberNow expects cash flows to be $500,000 forthe first year, $530,000 for the second year, $560,000 in the third year. If CyberNow uses 12 percent as its discount rate, what is the present value of the cash flows? Assume cash flows are made at the end of the year.Answer: PV = FV/(1 + i)n= 500,000/(1.12)1 + 530,000/(1.12)2 + 560,000/(1.12)3= 446,429 + 422,513 + 398,597= $1,267,5392. GeorgiaSun Inc. has preferred stock that pays an annual dividend of $10.50. If the securityhas no maturity (an “infinite” life), what is its value to an investor who wishes to obtain an8.5 percent rate of return?Answer: PV of a level Perpetuity = $10.50/0.085= $123.533.Let us suppose you have a choice between investing in a bank savings account that pays 9%compounded annually (Bank Yearly) and one that pays 8.5% compounded daily (Bank Daily).(Assume this is based on 365 days). Using only effective annual rates, which bank would you prefer?Answer: Effective annual rate: Bank Yearly = 9%Effective annual rate: Bank Daily = [1 + 0.085/365]365 – 1= 8.87%You would prefer Bank Yearly because you will earn more money.4.Steptoe’s bank account has a floating interest rate on certain deposits. That is, every year theinterest rate is adjusted. Four years ago Steptoe deposited $35,000 into the bank account, when interest rates were 6%. The following year the rate was 6.5%, last year the rate was 8% and this year the rate fell to 7.5%. How much will be in his account at the end of the year?Assume annual compounding.Answer: Amount = $35,000 x 1.06 x 1.065 x 1.08 x 1.075= $45,872.855.Calculate the net present value of the following cash flows: you invest $4,000 today andreceive $400 one year from now, $900 two years from now and $2000 three years from now.Assume the interest rate is 9%.Answer: NPV = $400/(1.09) +$900/(1.09)2 + $2,000(1.09)3 –$4,000= $366.97 + $757.51 + $1,544.37 – $4,000= $ -1,331.156.The manufacturing manager of CyberNow Inc. estimates that she can save the company$20,000 cash per year over the next 5 years by implementing a recycling plan. What is the value of the savings today if the appropriate interest rate for the firm is 8%. Assume that cash flows occur at the end of the year.Answer:n i PV FV PMT Result5 8 ? 0 $20,000 PV = $79,854.207.Stroll Inc. has been offered a $2,000,000 jet under a 10 year loan agreement. The loanrequires Stroll Inc. to make equal, annual, end-of-year payments that include both principal and interest on the outstanding balance. The interest rate on the loan is 11%. Calculate the amount of these annual payments.Answer:n i PV FV PMT Result10 11 –$2,000,000 0 ? PMT = $339,602.85 8.Herb Flint decides to put $2,000 a year into an IRA fund over his 35 year working life andthen retire. Assume the deposits are made at the end of the year. If the account earns 11% compounded annually, what will Herb have in the account when he retires?Answer:n i PV FV PMT Result35 11 0 ? $2,000 FV = $683,179.119.Regarding retirement funds, there is some debate as to whether investors should invest at thebeginning of the year rather than at the end of the year. If an investor invests $2,000 per year at 12% over a 35 year period, what is the difference between the two funds?Answer: End of Year Fund:n i PV FV PMT Result35 12 0 ? $2,000 PV = $863,326.99Under an immediate annuity the entire amount earns interest for an additional year. So the FV for the immediate annuity is $863,326.99 X 1.12 = $996,926.23.Therefore the difference between the funds is: $996,926.23 – $863,326.99 = $103,599.24 10.You have the chance to buy a bond for $900 that will make one payment of $1,100 six yearsfrom today. What is the internal rate of return in the bond’s cash flows?Answer: 900(1 + i)6 = 1,100(1 + i)6 = 1.222i = (1.222)1/6 - 1i= 3.40%11.Consider the situation where you are trying to decide if you should invest in an Australianproject or an American project. Both projects require an initial outlay of $20,000. TheAustralian project will pay you Aust $40,000 per year for 6 years, whereas the American one will generate $25,000 per year for 6 years. The Australian dollar interest rate is 6% per year and the American interest rate is 5% per year; the current dollar price of an Australian dollar is $0.65 per Australian dollar. Which project has the higher NPV?Answer:American Project:n i PV FV PMT PV Result6 5 ? 0 $25,000 $126,892Australian Project:n i PV FV PMT PV Result6 6 ? 0 $40,000 $196,693 (Aust)NPV US project = $126,892 - $20,000 = $106,892Today the Australian project is worth A$196,693 x $0.65 per Aust= $127,850.45 (in U.S. dollars)NPV Aust project = $127,850.45 - $20,000 = $107,850.45Choose the Australian project since it has a higher NPV.12.If the exchange rate between the U.S. dollar and the Dutch Guilder is $0.49903 per Guilder,the dollar interest rate is 7% per year and the Dutch interest rate is 8% per year, what is the “break-even” value of the future dollar/Guilder exchange rate one year from now?Answer:Today One Year From Now$1 @7% $1.072.00389 Guilders @8% 2.16420 Guilders“Break-even” point = $1.07/2.16420 Guilders= $0.49441 per Guilder13.What is the real rate of interest if the nominal rate is 11.5% per year and the rate of inflationis 7% per year?Answer:Real interest rate = Nominal interest rate – rate of inflation1 + rate of inflation= 0.115 – 0.071.07= 0.04206Real interest rate = 4.21%14.I have $200 today and am interested in finding out what its equivalent real future value willbe in 40 years. What are the two ways I have available to me in computing the real future value?Answer:pute the future value using the real rate of interest.pute the nominal future value using the nominal rate, and then deflate it tofind the real future value.15.The real rate of interest is 3.756%, the nominal rate of interest is 10.5% and the rate ofinflation is 6.5%. What is the real future value of $2,000 in 40 years time? Show bothmethods.Answer:Method One:Real future value = $,2000 x 1.0375640= $8,741Method Two:Nominal future value = $2,000 x 1.10540= $108,522.83Future price level = 1.06540= 12.16Real FV = nominal future valuefuture price level= $108,522.8312.416= $8,74116.As part of your new job at CyberInc. the company is providing you with a new Jeep. Yourfirm will lease this $34,000 Jeep for you. The terms of the lease are seven annual payments at an interest rate of 10%, which will fully amortize the cost of the car. Assuming that allpayments are made on time and no additional money is paid towards the lease in any year, what percent of the 5th payment will go towards repayment of principal?Answer:n i PV FV PMT Result7 10 –$34,000 0 ? PMT = $6,984.39The monthly payment = $6,984.39Of the monthly payment, principal = $5,247% principal repayment in 5th payment =$5,247/$6,984.39= 75.12%17.You have decided to buy a car that costs $35,000. The dealer offers you a 5 year loan withmonthly payments of $814 per month. What is the annual interest rate on the loan?Answer:n i PV FV PMT Result60 ? –$35,000 0 $814 i = 1.165The annual nominal interest rate = 1.165 * 12= 13.98% per year18.A subscription to the magazine “National Tattler” states that you can purchase a one yearsubscription for $45 today, which can be renewed after a year at this rate. Alternately, you can purchase a two year subscription for $80 today. If you wish to subscribe to the magazine for two years and your required rate of return is 9% per year, which subscription offer should you choose?Answer:PV of the two year subscription = $80PV of one year subscription and renewal = $45 + 45/1.09= $86.28The two year subscription is the cheaper alternative.Longer Problems1.Heathcliff is currently 25 years old and expects to retire at age 65. Suppose that Heathclifftakes a job immediately and can earn $35,000 for the remainder of his working life. What is the present value of his future earnings?Answer:n i PV FV PMT Result40 5 ? 0 $35,000 PV = $600,5682.In order to finance your dream home, you are considering borrowing $120,000. The annualpercentage rate is 9% and payments are made annually over 5 years. Construct the loan-amortization schedule for the annual paymentsAnswer:n i PV FV PMT Result5 9 –$120,000 0 ? PMT = $30,856Loan Amortization Schedule is as follows:3.You are 60 years old and are considering whether it pays to buy an annuity from an insurancecompany. For a cost of $25,000, the insurance company will pay you $3,000 per year for the rest of your life. If you can earn 8% per year on your money in a bank account and expect to live until age 80, is it worth buying the annuity? What implied interest rate is the insurance company paying you?Answer: First compute the present value of the annuity.n i PV FV PMT Result20 8 ? 0 $3,000 PV = $29,454.44Now compute the NPV of the investment of the annuity:NPV = $29,454.44 - $25,000= $4,454.44So the annuity looks worth buying.To compute the implied interest rate on the annuity, we need to find the discountrate that makes the NPV zero. On a financial calculator, we find the answer to be10.32% per year.4. Gemma Peel is 30 years today and she wishes to accumulate enough money over the next 35 years to provide for a 20 year retirement annuity of $100,000 at the beginning of each year, starting with her 65th birthday. Assume the rate of the return over the entire period will be 11%. What is the present value of this annuity?Answer:n i PV FV PMT Result20 11 ? 0 $100,000 PV = $883,9295. The exchange rate between the Canadian dollar and the U.S. dollar is currently $0.69190 perCanadian dollar, the dollar interest rate is 6% per year, and the Canadian dollar interest rate is7% per year. You have $100,000 in a one-year account that allows you to choose betweeneither currency and it pays the corresponding interest rate. What is the “break-even” valueof the dollar/Canadian dollar exchange rate one year from now?Answer:U.S. today One year from now$1 @6% $1.06Canadian today One year from now$1.44530(Cdn) @7% $1.54647“Break-even” point = $1.06/1.54647 (Cdn dollar)= $0.68543 per Canadian dollar6.Assume that you have just taken out a $300,000 30 year mortgage with monthly payments atan annual 8 percent rate. At the end of the 3rd year (after 36 payments), you begin paying anadditional $100 each month towards the mortgage. That is, for months 37 onward you makethe scheduled payment plus an extra $100 each month. To the nearest whole number, howmany additional payments (payments in addition to the first 36) must you make before themortgage is paid off?Answer:First compute the monthly payment-PV FV Interest N Result________-300,000 0 0.67 360 360 PMT = $2,201.29Initially, you made $2,201.29 for the first three years. After 36 payments, the remaining balance = $291,840.45. After period 37, compute number of additional payments now that your monthly paymentis $2,301.29.PV FV Interest PMT Result__-$291,840.45 0 0.67 $2,301.29 N = 281You must make 281 additional payments before the mortgage is paid off.7.The company you work for has been experiencing financial difficulties and has just filed areorganization plan. Three years ago, one of the firm’s creditors lent the firm $80,000 on a ten year annual payment loan at a 15% interest rate. Immediately after the firm made the third payment, as a result of the court settlement, the creditor agreed to decrease the current outstanding balance of the loan by 20%, to lower the interest rate to 10%, and to increase the remaining term of the loan to 15 years. What will be the new annual payments on the firm’s loan, assuming all these changes take place?Answer:Under the original plan, your firm had annual payment obligations of:n i PV FV PMT Result10 15 –$80,000 0 ? PMT = $15,940Originally, your firm had to pay $15,940 per year to its creditors.After the third balance, the remaining balance = $66,318Under the new arrangement, new outstanding balance = $66,318 X 0.80= $53,054Under the new payment arrangement, annual payments are:n i PV FV PMT Result15 10 –$53,054 0 ? PMT = $6,975.218.Five banks offer CDs at the following stated annual percentage rates:Bank A: 10% APR compounded annuallyBank B: 9.8% APR compounded semiannuallyBank C: 9.6% APR compounded quarterlyBank D: 9.5% APR compounded monthlyBank E: 9.4% APR compounded dailyAnton has inherited $150,000 and decides to invest the money in a 20 year CD. He decides to invest the money with Bank E. If Anton had invested his money in the CD offering the best rate instead of Bank E, how much more money would he have had after 20 years?Answer:First determine the effective annual rates at each bank.Bank A: Effective Annual Rate = 10% per yearBank B: Effective Annual Rate = 10.04% per yearBank C: Effective Annual Rate = 9.95% per yearBank D: Effective Annual Rate = 9.92% per yearBank E: Effective Annual Rate = 9.85% per yearBest Account = Bank BAfter 20 years, the FV at Bank B:n i PV FV PMT Result20 10.04 –$150,000 ? 0 FV = $1,016,489.49Compare the above with the FV at Bank E after 20 years:n i PV FV PMT Result20 9.85 –$150,000 ? 0 FV = $981,957.03If Anton had invested with Bank B, he would have earned $1,016,489.49 - $981,957.03 = $34,532.46 more.。