公司理财第六版中文答案
【公司理财】罗斯,中文第六版课后习题详细解答05
第三部分未来现金流量估价第5章估价导论：货币的时间价值财务管理中最重要的问题之一是：未来将收到的现金流量，它在今天的价值是多少？答案取决于货币的时间价值，这也是该章的主题。
第6章贴现现金流量估价本章拓展第5章的基本结论，讨论多期现金流量的估价。
我们考虑了许多相关的问题，包括贷款估价、贷款偿付额的计算以及报酬率的决定。
第7章利率债券是一种非常重要的金融工具。
该章示范如何利用第6章的估价技术来决定债券的价格，我们讲述债券的基本特点，以及财经报章如何报道债券的价格。
我们还将考察利率对债券价格的影响。
第8章股票估价第三部分的最后一章考察股票价格的确定，讨论普通股和优先股的重要特点，例如股东的权利，该章还考察了股票价格的报价。
第5 章估价导论：货币的时间价值◆本章复习与自测题5.1 计算终值假定今天你在一个利率为6%的账户存了10 000美元。
5年后，你将有多少钱？5.2 计算现值假定你刚庆祝完19岁生日。
你富有的叔叔为你设立了一项基金，将在你30岁时付给你150 000美元。
如果贴现率是9%，那么今天这个基金的价值是多少？5.3 计算报酬率某项投资可以使你的钱在10年后翻一番。
这项投资的报酬率是多少？利用72法则来检验你的答案是否正确。
5.4 计算期数某项投资将每年付给你9%的报酬。
如果你现在投资15 000美元，多长时间以后你就会有30 000美元？多长时间以后你就会有45 000美元？◆本章复习与自测题解答5.1 我们需要计算在6%的利率下，10 000美元在5年后的终值。
终值系数为：1.065= 1.3382终值为：10 000美元×1.3382 = 13 382.26美元。
5.2 我们要算出在9%的利率下，11年后支付的150 000美元的现值。
贴现系数为：1/(1.09)11= 1/2.5804 = 0.3875这样，现值大约是58 130美元。
5.3 假定你现在投资1 000美元，10年后，你将拥有2 000美元。
《公司理财》课后习题答案
《公司理财》考试范围：第3~7章，第13章，第16~19章，其中第16章和18章为较重点章节。
书上例题比较重要，大家记得多多动手练练。
PS：书中课后例题不出，大家可以当习题练练~考试题型：1.单选题10分 2.判断题10分 3.证明题10分 4.计算分析题60分 5.论述题10分注：第13章没有答案第一章1.在所有权形式的公司中,股东是公司的所有者。
股东选举公司的董事会,董事会任命该公司的管理层。
企业的所有权和控制权分离的组织形式是导致的代理关系存在的主要原因。
管理者可能追求自身或别人的利益最大化,而不是股东的利益最大化。
在这种环境下,他们可能因为目标不一致而存在代理问题。
2.非营利公司经常追求社会或政治任务等各种目标。
非营利公司财务管理的目标是获取并有效使用资金以最大限度地实现组织的社会使命。
3.这句话是不正确的。
管理者实施财务管理的目标就是最大化现有股票的每股价值，当前的股票价值反映了短期和长期的风险、时间以及未来现金流量。
4.有两种结论。
一种极端,在市场经济中所有的东西都被定价。
因此所有目标都有一个最优水平，包括避免不道德或非法的行为，股票价值最大化。
另一种极端,我们可以认为这是非经济现象,最好的处理方式是通过政治手段。
一个经典的思考问题给出了这种争论的答案:公司估计提高某种产品安全性的成本是30美元万。
然而,该公司认为提高产品的安全性只会节省20美元万。
请问公司应该怎么做呢?”5.财务管理的目标都是相同的,但实现目标的最好方式可能是不同的,因为不同的国家有不同的社会、政治环境和经济制度。
6.管理层的目标是最大化股东现有股票的每股价值。
如果管理层认为能提高公司利润，使股价超过35美元,那么他们应该展开对恶意收购的斗争。
如果管理层认为该投标人或其它未知的投标人将支付超过每股35美元的价格收购公司,那么他们也应该展开斗争。
然而,如果管理层不能增加企业的价值,并且没有其他更高的投标价格,那么管理层不是在为股东的最大化权益行事。
《公司理财》课后习题与答案
《公司理财》考试范围：第3~7章，第13章，第16~19章，其中第16章和18章为较重点章节。
书上例题比较重要，大家记得多多动手练练。
PS：书中课后例题不出，大家可以当习题练练~考试题型：1.单选题10分 2.判断题10分 3.证明题10分 4.计算分析题60分 5.论述题10分注：第13章没有答案第一章1.在所有权形式的公司中,股东是公司的所有者。
股东选举公司的董事会,董事会任命该公司的管理层。
企业的所有权和控制权分离的组织形式是导致的代理关系存在的主要原因。
管理者可能追求自身或别人的利益最大化,而不是股东的利益最大化。
在这种环境下,他们可能因为目标不一致而存在代理问题。
2.非营利公司经常追求社会或政治任务等各种目标。
非营利公司财务管理的目标是获取并有效使用资金以最大限度地实现组织的社会使命。
3.这句话是不正确的。
管理者实施财务管理的目标就是最大化现有股票的每股价值，当前的股票价值反映了短期和长期的风险、时间以及未来现金流量。
4.有两种结论。
一种极端,在市场经济中所有的东西都被定价。
因此所有目标都有一个最优水平，包括避免不道德或非法的行为，股票价值最大化。
另一种极端,我们可以认为这是非经济现象,最好的处理方式是通过政治手段。
一个经典的思考问题给出了这种争论的答案:公司估计提高某种产品安全性的成本是30美元万。
然而,该公司认为提高产品的安全性只会节省20美元万。
请问公司应该怎么做呢”5.财务管理的目标都是相同的,但实现目标的最好方式可能是不同的,因为不同的国家有不同的社会、政治环境和经济制度。
6.管理层的目标是最大化股东现有股票的每股价值。
如果管理层认为能提高公司利润，使股价超过35美元,那么他们应该展开对恶意收购的斗争。
如果管理层认为该投标人或其它未知的投标人将支付超过每股35美元的价格收购公司,那么他们也应该展开斗争。
然而,如果管理层不能增加企业的价值,并且没有其他更高的投标价格,那么管理层不是在为股东的最大化权益行事。
《公司理财》教材习题答案
第一章现代公司制度一、名词解释：1.合伙制企业：合伙企业是依法设立，由各合伙人订立合伙协议，共同出资，合伙经营，共享收益，共担风险，并对合伙企业债务承担无限连带责任的营利组织。
合伙制企业分为两大类：一般合伙制和有限合伙制。
在一般合伙制企业中，所有合伙人共同提供一定比例的工作和资金，并且分享相应的利润或亏损，每一个合伙人承担合伙制企业中的相应债务。
具体的合作模式由合伙人的协议来规定。
在一般合伙制当中，所有合伙人都承担债务的无限责任。
有限合伙制允许某些合伙人的责任仅限于其在合伙制企业的出资额。
在有限合伙制下，通常要求至少有一人为一般合伙人，并且有限合伙人不参与企业管理。
国外很多基金管理公司是以有限合伙的形式存在的。
合伙企业特点：①有两个以上所有者(出资者)。
②合伙人对企业债务承担连带无限责任。
③合伙人通常按照他们对合伙企业的出资比例分享利润或分担亏损。
④合伙企业本身一般不交纳企业所得税。
其收益直接分配给合伙人。
石油、天然气勘探和房地产开发企业通常按合伙企业组织形式组建。
合伙企业的价值是合伙人转让其出资可以得到的现金。
合伙企业优点：创建容易，成本较低。
合伙企业缺点：与个体企业类似，筹资难，无限债务，有限寿命，难转移所有权。
2.公司制企业：公司是依据一国公司法组建的、具有法人地位的、以盈利为目的的企业组织形式。
公司制具有两个主要特点。
第一，公司就是法人。
公司是一个法人团体，具有法人地位，具有与自然人相同的民事行为能力。
这是现代公司制的根本特点。
公司是由出资者(股东)入股组成的法人团体，没有意识和意志，由所有者、董事会和高级执行者经理组成的组织机构，在其法人财产基础上营运。
所有者将自己的资产交由公司董事会托管；公司董事会是公司的最高决策机构，拥有对高级经理人员的聘用、奖惩以及解雇权，高级经理人员受雇于董事会，组成在董事会领导下的执行机构，在董事会的授权范围内经营企业。
第二，公司对自己的行为负有限责任。
公司是以责任形式设立的，容纳各方面授资者的投资。
《公司理财》课后习题答案
《公司理财》考试范围：第3~7章，第13章，第16~19章，其中第16章和18章为较重点章节。
书上例题比较重要，大家记得多多动手练练。
PS：书中课后例题不出，大家可以当习题练练~考试题型：1.单选题10分 2.判断题10分 3.证明题10分 4.计算分析题60分 5.论述题10分注：第13章没有答案第一章1.在所有权形式的公司中,股东是公司的所有者。
股东选举公司的董事会,董事会任命该公司的管理层。
企业的所有权和控制权分离的组织形式是导致的代理关系存在的主要原因。
管理者可能追求自身或别人的利益最大化,而不是股东的利益最大化。
在这种环境下,他们可能因为目标不一致而存在代理问题。
2.非营利公司经常追求社会或政治任务等各种目标。
非营利公司财务管理的目标是获取并有效使用资金以最大限度地实现组织的社会使命。
3.这句话是不正确的。
管理者实施财务管理的目标就是最大化现有股票的每股价值，当前的股票价值反映了短期和长期的风险、时间以及未来现金流量。
4.有两种结论。
一种极端,在市场经济中所有的东西都被定价。
因此所有目标都有一个最优水平，包括避免不道德或非法的行为，股票价值最大化。
另一种极端,我们可以认为这是非经济现象,最好的处理方式是通过政治手段。
一个经典的思考问题给出了这种争论的答案:公司估计提高某种产品安全性的成本是30美元万。
然而,该公司认为提高产品的安全性只会节省20美元万。
请问公司应该怎么做呢?”5.财务管理的目标都是相同的,但实现目标的最好方式可能是不同的,因为不同的国家有不同的社会、政治环境和经济制度。
6.管理层的目标是最大化股东现有股票的每股价值。
如果管理层认为能提高公司利润，使股价超过35美元,那么他们应该展开对恶意收购的斗争。
如果管理层认为该投标人或其它未知的投标人将支付超过每股35美元的价格收购公司,那么他们也应该展开斗争。
然而,如果管理层不能增加企业的价值,并且没有其他更高的投标价格,那么管理层不是在为股东的最大化权益行事。
罗斯公司理财第六版习题答案第5章
Concept Questions◆Define pure discount bonds, level-coupon bonds, and consols.A pure discount bond is one that makes no intervening interest payments. One receives a single lump sum payment at maturity. A level-coupon bond is a combination of an annuity and a lump sum at maturity. A consol is a bond that makes interest payments forever.◆Contrast the state interest rate and the effective annual interest rate for bonds paying semi-annual interest. Effective annual interest rate on a bond takes into account two periods of compounding per year received on the coupon payments. The state rate does not take this into account.◆What is the relationship between interest rates and bond prices?There is an inverse relationship. When one goes up, the other goes down.◆How does one calculate the yield to maturity on a bond?One finds the discount rate that equates the promised future cash flows with the price of the bond.◆What are the three factors determining a firm's P/E ratio?Today's expectations of future growth opportunities.The discount rate.The accounting method.◆What is the closing price of General Data?The closing price of General Data is 6 3/16.◆What is the PE of General House?The PE of General House is 29.◆What is the annual dividend of General Host?The annual dividend of General Host is zero.Concept Questions - Appendix To Chapter 5◆What is the difference between a spot interest rate and the yield to maturity?The yield to maturity is the geometric average of the spot rates during the life of the bond.◆Define the forward rate.Given a one-year bond and a two-year bond, one knows the spot rates for both. The forward rate is the rate of return implicit on a one-year bond purchased in the second year that would equate the terminal wealth of purchasing the one-year bond today and another in one year with that of the two-year bond.◆What is the relationship between the one-year spot rate, the two-year spot rate and the forward rate over the second year?The forward rate f2 = [(1+r2)2 /(1+r1 )] - 1◆What is the expectation hypothesis?Investors set interest rates such that the forward rate over a given period equals the spot rate for that period.◆What is the liquidity-preference hypothesis?This hypothesis maintains that investors require a risk premium for holding longer-term bonds (i.e. they prefer to be liquid or short-term investors). This implies that the market sets the forward rate for a given period above the expected spot rate for that period.Questions And ProblemsHow to Value Bonds5.1 What is the present value of a 10-year, pure discount bond that pays $1,000 at maturity and is priced to yield the following rates?a. 5 percentb. 10 percentc. 15 percentSolutions a. $1,000 / 1.0510 = $613.91b. $1,000 / 1.1010 = $385.54c. $1,000 / 1.1510 = $247.185.2 Microhard has issued a bond with the following characteristics:Principal: $1,000Term to maturity: 20 yearsCoupon rate: 8 percentSemiannual paymentsCalculate the price of the Microhard bond if the stated annual interest rate is:a. 8 percentb. 10 percentc. 6 percentSolutions The amount of the semi-annual interest payment is $40 (=$1,000 ⨯ 0.08 / 2). There are a total of 40 periods; i.e., two half years in each of the twenty years in the term to maturity.The annuity factor tables can be used to price these bonds. The appropriate discount rate touse is the semi-annual rate. That rate is simply the annual rate divided by two. Thus, for part b the rate to be used is 5% and for part c is it 3%.a. $40 (19.7928) + $1,000 / 1.0440 = $1,000Notice that whenever the coupon rate and the market rate are the same, the bond ispriced at par.b. $40 (17.1591) + $1,000 / 1.0540 = $828.41Notice that whenever the coupon rate is below the market rate, the bond is pricedbelow par.c. $40 (23.1148) + $1,000 / 1.0340 = $1,231.15Notice that whenever the coupon rate is above the market rate, the bond is pricedabove par.5.3 Consider a bond with a face value of $1,000. The coupon is paid semiannually and the market interest rate (effective annual interest rate) is 12 percent. How much would you pay for the bond if a. the coupon rate is 8 percent and the remaining time to maturity is 20 years?b. the coupon rate is 10 percent and the remaining time to maturity is 15 years?Solutions Semi-annual discount factor = (1.12)1/2 - 1 = 0.05830 = 5.83%a. Price = $40400583.0A+ $1,000 / 1.058340= $614.98 + $103.67= $718.65b. Price = $50300583.0A+ $1,000 / 1.058330= $700.94 + $182.70 = $883.645.4 Pettit Trucking has issued an 8-percent, 20-year bond that pays interest semiannually. If the market prices the bond to yield an effective annual rate of 10 percent, what is the price of the bond? Solutions Effective annual rate of 10%:Semi-annual discount factor = (1.1)0.5 - 1 = 0.04881 = 4.881%Price = $404004881.0A+ $1,000 / 1.0488140= $846.335.5 A bond is sold at $923.14 (below its par value of $1,000). The bond has 15 years to maturity and investors require a 10-percent yield on the bond. What is the coupon rate for the bond if the coupon is paid semiannually?Solutions $923.14 = C3005.0A+ $1,000 / 1.0530= (15.37245) C + $231.38C = $45The annual coupon rate = $45 ⨯ 2 / $1,000 = 0.09 = 9%5.6 You have just purchased a newly issued $1,000 five-year Vanguard Company bond at par. This five-year bond pays $60 in interest semiannually. You are also considering the purchase of another Vanguard Company bond that returns $30 in semiannual interest payments and has six years remaining before it matures. This bond has a face value of $1,000.a. What is effective annual return on the five-year bond?b. Assume that the rate you calculated in part (a) is the correct rate for the bond with six years remaining before it matures. What should you be willing to pay for that bond?c. How will your answer to part (b) change if the five-year bond pays $40 in semiannual interest? Solutionsa. The semi-annual interest rate is $60 / $1,000 = 0.06. Thus, the effective annual rate is 1.062 - 1 =0.1236 = 12.36%.b. Price = $301206.0A+ $1,000 / 1.0612= $748.48c. Price = $301204.0A+ $1,000 / 1.0412= $906.15Note: In parts b and c we are implicitly assuming that the yield curve is flat. That is, the yield in year 5 applies for year 6 as well.Bond Concepts5.7 Consider two bonds, bond A and bond B, with equal rates of 10 percent and the same face values of $1,000. The coupons are paid annually for both bonds. Bond A has 20 years to maturity while bond B has10 years to maturity.a. What are the prices of the two bonds if the relevant market interest rate is 10 percent?b. If the market interest rate increases to 12 percent, what will be the prices of the two bonds?c. If the market interest rate decreases to 8 percent, what will be the prices of the two bonds?Solutionsa. PA = $1002010.0A+ $1,000 / 1.1020 = $1,000PB = $1001010.0A+ $1,000 / 1.1010 = $1,000b. PA = $1002012.0A+ $1,000 / 1.1220 = $850.61PB = $1001012.0A+ $1,000 / 1.1210 = $887.00c. PA = $1002008.0A+ $1,000 / 1.0820 = $1,196.36PB = $1001008.0A+ $1,000 / 1.0810 = $1,134.205.8 a. If the market interest rate (the required rate of return that investors demand) unexpectedly increases, what effect would you expect this increase to have on the prices of long-term bonds? Why?b. What would be the effect of the rise in the interest rate on the general level of stock prices? Why? Solutionsa. The price of long-term bonds should fall. The price is the PV of the cash flowsassociated with the bond. As the interest rate rises, the PV of those flows falls.This can be easily seen by looking at a one-year, pure discount bond.Price = $1,000 / (1 + i)As i. increases, the denominator rises. This increase causes the price to fall.b. The effect upon stocks is not as certain as that upon the bonds. The nominalinterest rate is a function of both the real interest rate and the inflation rate; i.e.,(1 + i) = (1 + r) (1 + inflation)From this relationship it is easy to conclude that as inflation rises, the nominalinterest rate rises. Stock prices are a function of dividends and future prices aswell as the interest rate. Those dividends and future prices are determined by theearning power of the firm. When inflation occurs, it may increase or decreasefirm earnings. Thus, the effect of a rise in the level of general prices upon thelevel of stock prices is uncertain.5.9 Consider a bond that pays an $80 coupon annually and has a face value of $1,000. Calculate the yield to maturity if the bond hasa. 20 years remaining to maturity and it is sold at $1,200.b. 10 years remaining to maturity and it is sold at $950.Solutions a. $1,200 = $8020rA+ $1,000 / (1 + r)20r = 0.0622 = 6.22%b. $950 = $8010rA+ $1,000 / (1 + r)10r = 0.0877 = 8.77%5.10 The Sue Fleming Corporation has two different bonds currently outstanding. Bond A has a face value of $40,000 and matures in 20 years. The bond makes no payments for the first six years and then pays $2,000 semiannually for the subsequent eight years, and finally pays $2,500 semiannually for the last six years. Bond B also has a face value of $40,000 and a maturity of 20 years; it makes no coupon payments over the life of the bond. If the required rate of return is 12 percent compounded semiannually, what is the current price of Bond A? of Bond B?Solutions PA = ($2,0001606.0A) / (1.06)12 + ($2,5001206.0A) / (1.06)28 + $40,000 / (1.06)40= $18,033.86PB = $ 40,000 / (1.06)40 = $3,888.89The Present Value of Common Stocks5.11 Use the following February 11, 2000, WSJ quotation for AT&T Corp. Which of the following statements is false?a. The closing price of the bond with the shortest time to maturity was $1,000.b. The annual coupon for the bond maturing in year 2016 is $90.00.c. The price on the day before this quotation (i.e., February 9) for the ATT bond maturing in year 2022 was $1.075 per bond contract.d. The current yield on the ATT bond maturing in year 2002 was 7.125%e. The ATT bond maturing in year 2002 has a yield to maturity less than 7.125%.Bonds Cur Yld Vol Close Net ChgATT 9s 16 ? 10 117 _ 1/4ATT 5 1/8 01 ? 5 100 _ 3/4ATT 7 1/8 02 ? 193 104 1/8 _ 1/4ATT 8 1/8 22 ? 39 107 3/8 _ 1/8Solutions a. TrueTrueFalseFalseTrue5.12 Following are selected quotations for New York Exchange Bonds from the Wall Street Journal. Which of the following statements about Wilson’s bond is false?a. The bond maturing in year 2000 has a yield to maturity greater th an 63⁄8%.b. The closing price of the bond with the shortest time to maturity on the day before this quotation was $1,003.25.c. This annual coupon for the bond maturing in year 2013 is $75.00.d. The current yield on the Wilson’s bond with the longest time to maturity was 7.29%.e. None of the above.Quotations as of 4 P.M. Eastern TimeFriday, April 23, 1999Bonds Current Yield Vol Close NetWILSON 6 3/8 99 ? 76 100 3/8 _ 1/8WILSON 6 3/8 00 ? 9 98 1/2WILSON 7 1/4 02 ? 39 103 5/8 1/8WILSON 7 1/2 13 ? 225 102 7/8 _ 1/8Solutions a. TrueFalseTrueTrueFalse5.13 A common stock pays a current dividend of $2. The dividend is expected to grow at an 8-percent annual rate for the next three years; then it will grow at 4 percent in perpetuity.The appropriate discount rate is 12 percent. What is the price of this stock?Solutions Price = $2 (1.08) / 1.12 + $2 (1.082) / 1.122 + $2 (1.083) / 1.123+ {$2 (1.083) (1.04) / (0.12 - 0.04)} / 1.123= $28.895.14 Use the following February 12, 1998, WSJ quotation for Merck & Co. to answer the next question. 52 Weeks Yld Vol NetHi Lo Stock Sym Div % PE 100s Hi Lo Close Chg120. 80.19 Merck MRK 1.80 ? 30 195111 115.9 114.5 115 _1.25Which of the following statements is false?a. The dividend yield was about 1.6%.b. The 52 weeks’ trading range was $39.81.c. The closing price per share on February 10, 1998, was $113.75.d. The closing price per share on February 11, 1998, was $115.e. The earnings per share were about $3.83.Solutions a. FalseTrueFalseFalseTrue5.15 Use the following stock quote.52 Weeks Yld Vol NetHi Lo Stock Sym Div % PE 100s Hi Lo Close Chg126.25 72.50 Citigroup CCI 1.30 1.32 16 20925 98.4 97.8 98.13 _.13The expected growth rate in Citigroup’s dividends is 7% a year. Suppose you use the discounted dividend model to price Citigroup’s shares. The constant growth dividend model would suggest that the required return on the Citigroup’s stock is what?98.125 = 1.30 ( 1.07) / r - 0.07r = 8.4175 %5.16 You own $100,000 worth of Smart Money stock. At the end of the first year you receive a dividend of $2 per share; at the end of year 2 you receive a $4 dividend. At the end of year 3 you sell the stock for $50 per share. Only ordinary (dividend) income is taxed at the rate of 28 percent. Taxes are paid at the time dividends are received. The required rate of return is 15 percent. How many shares of stock do you own? Solutions Price = $2 (0.72) / 1.15 + $4 (0.72) / 1.152 + $50 / 1.153= $36.31The number of shares you own = $100,000 / $36.31 = 2,754 shares5.17 Consider the stock of Davidson Company that will pay an annual dividend of $2 in the coming year. The dividend is expected to grow at a constant rate of 5 percent permanently.The market requires a 12-percent return on the company.a. What is the current price of a share of the stock?b. What will the stock price be 10 years from today?Solutionsa. P = $2 / (0.12 - 0.05) = $28.57b. P10 = D11 / (r - g)= $2 (1.0510) / (0.12 - 0.05) = $46.545.18 Easy Type, Inc., is one of a myriad of companies selling word processor programs. Their newest program will cost $5 million to develop. First-year net cash flows will be $2 million. As a result of competition, profits will fall by 2 percent each year thereafter.All cash inflows will occur at year-end. If the market discount rate is 14 percent, what is the value of this new program?SolutionsValue = -$5,000,000 + $2,000,000 / {0.14 - (-0.02)}= $7,500,0005.19 Whizzkids, Inc., is experiencing a period of rapid growth. Earnings and dividends per share are expected to grow at a rate of 18 percent during the next two years, 15 percent in the third year, and at a constant rate of 6 percent thereafter. Whizzkids’ last dividend, which has just been paid, was $1.15. If the required rate of return on the stock is 12 percent, what is the price of a share of the stock today? SolutionsPrice = $1.15 (1.18) / 1.12 + $1.15 (1.182) / 1.122 + $1.152 (1.182) / 1.123+ {$1.152 (1.182) (1.06) / (0.12 - 0.06)} / 1.123= $26.955.20 Allen, Inc., is expected to pay an equal amount of dividends at the end of the first two years. Thereafter, the dividend will grow at a constant rate of 4 percent indefinitely. The stock is currently traded at $30. What is the expected dividend per share for the next year if the required rate of return is 12 percent? Solutions$30 = D / 1.12 + D / 1.122 + {D (1 + 0.04) / (0.12 - 0.04)} / 1.122= 12.053571 DD = $2.495.21 Calamity Mining Company’s reserves of ore are being depleted, and its costs of recovering a declining quantity of ore are rising each year. As a result, the company’s earnings are declining at the rate of 10 percent per year. If the dividend per share that is about to be paid is $5 and the required rate of return is 14 percent, what is the value of the firm’s stock?SolutionsDividend one year from now = $5 (1 - 0.10) = $4.50Price = $5 + $4.50 / {0.14 - (-0.10)} = $23.75Since the current $5 dividend has not yet been paid, it is still included in the stock price.5.22 The Highest Potential, Inc., will pay a quarterly dividend per share of $1 at the end of each of the next 12 quarters. Subsequently, the dividend will grow at a quarterly rate of 0.5 percent indefinitely. The appropriate rate of return on the stock is 10 percent. What is the current stock price?Estimates of Parameters in the Dividend-Discount ModelSolutionsPrice = $112025.0A+ {$1 (1 + 0.005) / (0.025 - 0.005)} / 1.02512= $10.26 + $37.36= $47.625.23 The newspaper reported last week that Bradley Enterprises earned $20 million. The report also stated that the firm’s return on equity remains on its historical trend of 14 percent. Bradley retains 60 percent of its earnings. What is the firm’s growth rate of earnings? What will next year’s earnings be? SolutionsGrowth rate g = 0.6 ⨯ 0.14 = 0.084 = 8.4%Next year earnings = $20 million ⨯ 1.084 = $21.68 million5.24 Von Neumann Enterprises has just reported earnings of $10 million, and it plans to retain 75 percent of its earnings. The company has 1.25 million shares of common stock outstanding. The stock is selling at $30. The historical return on equity (ROE) of 12 percent is expected to continue in the future. What is the required rate of return on the stock?Growth Opportunitiesg = retention ratio ⨯ ROE = 0.75 ⨯ 0.12= 0.09 = 9%Dividend per share = $10 million ⨯ (1 - 0.75) / 1.25 million= $2The required rate of return = $2 (1.09) / $30 + 0.09= 0.1627 = 16.27%5.25 Rite Bite Enterprises sells toothpicks. Gross revenues last year were $3 million, and total costs were $1.5 million. Rite Bite has 1 million shares of common stock outstanding. Gross revenues and costs are expected to grow at 5 percent per year. Rite Bite pays no income taxes, and all earnings are paid out as dividends.a. If the appropriate discount rate is 15 percent and all cash flows are received at year’s end, what is the price per share of Rite Bite stock?b. The president of Rite Bite decided to begin a program to produce toothbrushes. The project requires an immediate outlay of $15 million. In one year, another outlay of $5 million will be needed. The year after that, net cash inflows will be $6 million. This profit level will be maintained in perpetuity. What effect will undertaking this project have on the price per share of the stock?Solutionsa. Price = ($3 - $1.5) ⨯ 1.05 / (0.15 - 0.05)= $15.75b. NPVGO = -$15,000,000 - $5,000,000 / 1.15 + ($6,000,000 / 0.15) / 1.15= $15,434,783The price increases by $15.43 per share.5.26 California Electronics, Inc., expects to earn $100 million per year in perpetuity if it does not undertake any new projects. The firm has an opportunity that requires an investment of $15 million today and $5 million in one year. The new investment will begin to generate additional annual earnings of $10 million two years from today in perpetuity. The firm has 20 million shares of common stock outstanding, and the required rate of return on the stock is 15 percent.a. What is the price of a share of the stock if the firm does not undertake the new project?b. What is the value of the growth opportunities resulting from the new project?c. What is the price of a share of the stock if the firm undertakes the new project?Solutionsa. Price = EPS / r = {$100 million / 20 million} / 0.15= $33.33b. NPV = -$15 million - $5 million / 1.15 + ($10 million / 0.15) / 1.15= $38,623,188c. Price = $33.33 + $38,623,188 / 20,000,000= $35.265.27 Suppose Smithfield Foods, Inc., has just paid a dividend of $1.40 per share. Sales and profits for Smithfield Foods are expected to grow at a rate of 5% per year. Its dividend is expected to grow by the same rate. If the required return is 10%, what is the value of a share of Smithfield Foods?SolutionsPrice = 1.40 (1.05) / 0.10 - 0.05Price = $29.405.28 In order to buy back its own shares, Pennzoil Co. has decided to suspend its dividends for the next two years. It will resume its annual cash dividend of $2.00 a share 3 years from now. This level of dividends will be maintained for one more year. Thereafter, Pennzoil is expected to increase its cash dividend payments by an annual growth rate of 6% per year forever. The required rate of return on Pennzoil’s stock is 16%. According to the discounted dividend model, what should Pennzoil’s current share price be? SolutionsPrice = 2 / (1.16) 3 + 2 / (1.16)4 + 2.12 / 0.16 - 0.06= 1.28 + 1.10 + 21.20= $23.585.29 Four years ago, Ultramar Diamond Inc. paid a dividend of $0.80 per share. This year Ultramar paid a dividend of $1.66 per share. It is expected that the company will pay dividends growing at the same rate for the next 5 years. Thereafter, the growth rate will level at 8% per year. The required return on this stock is 18%. According to the discounted dividend model, what would Ultramar’s cash dividend be in 7 years? a. $2.86c. $3.68d. $4.30e. $4.82Solutionsa. g = 0.4 ⨯ 0.15 = 0.06 = 6%b. Dividend per share = $1.5 million ⨯ 0.6 / 300,000= $3Price = $3 (1.06) / (0.13 - 0.06)= $45.43c. Assuming the additional earnings generated are all paid out as cash dividends.NPV = -$1.2 million + $0.3 million {1 / (0.13 - 0.10)} {1 - (1.10 / 1.13)10}= $1,159,136.93d. Price = $45.43 + $1,159,136.93 / 300,000= $49.295.30 The Webster Co. has just paid a dividend of $5.25 per share. The company will increase its dividendby 15 percent next year and will then reduce its dividend growth by 3 percent each year until it reaches the industry average of 5 percent growth, after which the company will keep a constant growth, forever. The required rate of return for the Webster Co. is 14 percent. What will a share of stock sell for?SolutionsPrice = 3 / 1.15 + 4.5 / ( 1.15)2 + 4.725 / 0.15- 0.05= 2.61 + 3.40 + 47.52= $53.535.31 Consider Pacific Energy Company and U.S. Bluechips, Inc., both of which reported recent earnings of $800,000 and have 500,000 shares of common stock outstanding. Assume both firms have the same required rate of return of 15 percent a year.a. Pacific Energy Company has a new project that will generate cash flows of $100,000 each year in perpetuity. Calculate the P/E ratio of the company.Chapter 5 How to Value Bonds and Stocks 129b. U.S. Bluechips has a new project that will increase earnings by $200,000 in the coming year. The increased earnings will grow at 10 percent a year in perpetuity. Calculate the P/E ratio of the firm. Solutionsa. P/E of Pacific Energy Company:EPS = ($800,000 / 500,000) = $1.6NPVGO = {$100,000 / 500,000} / 0.15 = $1.33P/E = 1 / 0.15 + 1.33 / 1.6 = 7.50b. P/E of U. S. Bluechips, Inc.:NPVGO = {$200,000 / 500,000} / (0.15 - 0.10) = $8P/E = 1 / 0.15 + 8 / 1.6 = 11.675.32 (Challenge Question) Lewin Skis Inc. (today) expects to earn $4.00 per share for each of the future operating periods (beginning at time 1) if the firm makes no new investments (and returns the earnings as dividends to the shareholders). However, Clint Williams, President and CEO, has discovered an opportunity to retain (and invest) 25% of the earnings beginning three years from today (starting at time 3). This opportunity to invest will continue (for each period) indefinitely. He expects to earn 40% (per year) on this new equity investment (ROE of 40), the return beginning one year after each investment is made. The firm’s equity discount rate is 14% throughout.a. What is the price per share (now at time 0) of Lewin Skis Inc. stock without making the new investment?b. If the new investment is expected to be made, per the preceding information, what would the value of the stock (per share) be now (at time 0)?c. What is the expected capital gain yield for the second period, assuming the proposed investment is made? What is the expected capital gain yield for the second period if the proposed investment is not made?d. What is the expected dividend yield for the second period if the new investment is made? What is the expected dividend yield for the second period if the new investment is not made?Solutionsa. Price = $4 / 0.14 = $28.57Price = 28.57 + (-1 + 0.40 / 0.14) / 0.04(1.14) 3= 28.57 + 31.33The expected return of 14% less the dividend yield of 5% providesa capital gain yield of 9%. If there is no investment the yield is 14%.$3 / $59.90 = .05 and $4 / $28.57 = .14 without the investment.Appendix to Chapter 5 Questions And ProblemsA.1 The appropriate discount rate for cash flows received one year from today is 10 percent. The appropriate annual discount rate for cash flows received two years from today is 11 percent.a. What is the price of a two-year bond that pays an annual coupon of 6 percent?b. What is the yield to maturity of this bond?Solutionsa. P = $60 / 1.10 + $1,060 / (1.11)2= $54.55 + $ 860.32= $914.87$914.87 = $60 / ( 1 + y ) + $1,060 / ( 1 + y )2y = YTM = 10.97%A.2 The one-year spot rate equals 10 percent and the two-year spot rate equals 8 percent. What should a 5-percent coupon two-year bond cost?SolutionsP = $50 / 1.10 + $1,050 / (1.08)2= $45.45 + $900.21= $945.66A.3 If the one-year spot rate is 9 percent and the two-year spot rate is 10 percent, what is the forward rate? Solutions ( 1 + r1 )( 1 + ƒ2 ) = ( 1 + r2 )2( 1.09 ) ( 1 + ƒ2 ) = ( 1.10 )2ƒ2 = .1101A.4 Assume the following spot rates:Maturity Spot Rates (%)1 52 73 10What are the forward rates over each of the three years?Solutions( 1 + r2 )2 = ( 1+ r1 ) ( 1 + ƒ2 )( 1.07 )2 = ( 1.05 )( 1 + ƒ2 )ƒ2 = .0904, one-year forward rate over the 2nd year is 9.04%.( 1 + r3 )3 = ( 1 + r2 )2 ( 1 + ƒ3 )( 1.10 )3 = ( 1.07 )2 ( 1 + ƒ3 )ƒ3 = .1625, one-year forward rate over the 3rd year is 16.25%.。
公司理财》习题参考答案
《公司理财》习题参考答案第1章公司理财导论★案例分析1．股东之间的利益（1）作为内部股东，其利益与外部股东未必一致。
（2）内部股东拥有信息优势。
他们可能运用这种信息优势做出有利于自己但伤害外部股东利益的行为，例如延期发布预亏信息。
2．企业组织的经营目标（1）相同点：公司理财学教授与市场营销学教授从各自的职业特征出发，表述了企业的经营目标。
不同点：公司理财学教授表达的是企业经营的最终目标，市场营销学教授表达的是实现企业经营最终目标的手段。
手段与目标本身并不一致。
也就是说，顾客满意了，企业价值未必最大化。
（2）如果公司理财学教授与市场营销学教授分别代表企业的财务部门与营销部门，可以通过“顾客给企业带来利润率”这个指标来协调其认识差异。
企业为什么要最大限度地满足顾客要求呢？其目的在于，通过最大限度地满足顾客要求来实现企业价值最大化。
然而，并不是所有满意的顾客都能够为企业创造价值。
对于这种顾客，企业为什么要最大限度地满足其要求呢？通过“顾客给企业带来利润率”这个指标来协调企业的财务部门与营销部门的认识差异的实践意义在于，它能够使企业财务部门与营销部门“讲同一种语言”。
财务部门具有营销理念，营销部门具有财务理念，从而构建“和谐企业”，引导企业走上“创造价值”的轨道上来。
3．会计学观念与公司理财观念（1）Toms公司不能得到价值补偿。
（2）会计学与公司理财学的差异在于会计学关注利润，而公司理财学关注现金流量。
4．整合四流，创造一流（1）企业组织应该设置预算管理委员会来沟通、协调及有效整合企业组织的物流、资金流、信息流和人力资源。
（2）某些企业组织的财务总监或会计人员委派制只解决了会计的监督职能，没有解决会计的辅助管理决策乃至战略制定职能。
（3）企业组织的财务经理人（包括会计经理人）主要体现企业组织的经营权范畴。
第2章公司理财环境★案例分析1．利率市场化（1）如果利率市场化，那么，资金的供求关系会影响利率，从而影响金融市场。
罗斯公司理财第六版习题答案第5章
Concept Questions◆Define pure discount bonds, level-coupon bonds, and consols.A pure discount bond is one that makes no intervening interest payments. One receives a single lump sum payment at maturity. A level-coupon bond is a combination of an annuity and a lump sum at maturity. A consol is a bond that makes interest payments forever.◆Contrast the state interest rate and the effective annual interest rate for bonds paying semi-annual interest. Effective annual interest rate on a bond takes into account two periods of compounding per year received on the coupon payments. The state rate does not take this into account.◆What is the relationship between interest rates and bond prices?There is an inverse relationship. When one goes up, the other goes down.◆How does one calculate the yield to maturity on a bond?One finds the discount rate that equates the promised future cash flows with the price of the bond.◆What are the three factors determining a firm's P/E ratio?Today's expectations of future growth opportunities.The discount rate.The accounting method.◆What is the closing price of General Data?The closing price of General Data is 6 3/16.◆What is the PE of General House?The PE of General House is 29.◆What is the annual dividend of General Host?The annual dividend of General Host is zero.Concept Questions- Appendix To Chapter 5◆What is the difference between a spot interest rate and the yield to maturity?The yield to maturity is the geometric average of the spot rates during the life of the bond.◆Define the forward rate.Given a one-year bond and a two-year bond, one knows the spot rates for both. The forward rate is the rate of return implicit on a one-year bond purchased in the second year that would equate the terminal wealth of purchasing the one-year bond today and another in one year with that of the two-year bond.◆What is the relationship between the one-year spot rate, the two-year spot rate and the forward rate over the second year?The forward rate f2 = [(1+r2)2 /(1+r1 )] - 1◆What is the expectation hypothesis?Investors set interest rates such that the forward rate over a given period equals the spot rate for that period.◆What is the liquidity-preference hypothesis?This hypothesis maintains that investors require a risk premium for holding longer-term bonds (i.e. they prefer to be liquid or short-term investors). This implies that the market sets the forward rate for a given period above the expected spot rate for that period.Questions And ProblemsHow to Value Bonds5.1 What is the present value of a 10-year, pure discount bond that pays $1,000 at maturity andis priced to yield the following rates?a. 5 percentb. 10 percentc. 15 percentSolutions a. $1,000 / 1.0510 = $613.91b. $1,000 / 1.1010 = $385.54c. $1,000 / 1.1510 = $247.185.2 Microhard has issued a bond with the following characteristics:Principal: $1,000Term to maturity: 20 yearsCoupon rate: 8 percentSemiannual paymentsCalculate the price of the Microhard bond if the stated annual interest rate is:a. 8 percentb. 10 percentc. 6 percentSolutions The amount of the semi-annual interest payment is $40 (=$1,000 ⨯ 0.08 / 2). There are a total of 40 periods; i.e., two half years in each of the twenty years in the term to maturity.The annuity factor tables can be used to price these bonds. The appropriate discount rate touse is the semi-annual rate. That rate is simply the annual rate divided by two. Thus, for part b the rate to be used is 5% and for part c is it 3%.a. $40 (19.7928) + $1,000 / 1.0440 = $1,000Notice that whenever the coupon rate and the market rate are the same, the bond ispriced at par.b. $40 (17.1591) + $1,000 / 1.0540 = $828.41Notice that whenever the coupon rate is below the market rate, the bond is pricedbelow par.c. $40 (23.1148) + $1,000 / 1.0340 = $1,231.15Notice that whenever the coupon rate is above the market rate, the bond is pricedabove par.5.3 Consider a bond with a face value of $1,000. The coupon is paid semiannually and themarket interest rate (effective annual interest rate) is 12 percent. How much would you payfor the bond ifa. the coupon rate is 8 percent and the remaining time to maturity is 20 years?b. the coupon rate is 10 percent and the remaining time to maturity is 15 years?Solutions Semi-annual discount factor = (1.12)1/2 - 1 = 0.05830 = 5.83%a. Price = $40400583.0A+ $1,000 / 1.058340= $614.98 + $103.67= $718.65b. Price = $50300583.0A+ $1,000 / 1.058330= $700.94 + $182.70 = $883.645.4 Pettit Trucking has issued an 8-percent, 20-year bond that pays interest semiannually. If themarket prices the bond to yield an effective annual rate of 10 percent, what is the price ofthe bond? Solutions Effective annual rate of 10%:Semi-annual discount factor = (1.1)0.5 - 1 = 0.04881 = 4.881%Price = $404004881.0A+ $1,000 / 1.0488140= $846.335.5 A bond is sold at $923.14 (below its par value of $1,000). The bond has 15 years tomaturity and investors require a 10-percent yield on the bond. What is the coupon rate forthe bond if the coupon is paid semiannually?Solutions $923.14 = C3005.0A+ $1,000 / 1.0530= (15.37245) C + $231.38C = $45The annual coupon rate = $45 ⨯ 2 / $1,000 = 0.09 = 9%5.6 You have just purchased a newly issued $1,000 five-year Vanguard Company bond at par.This five-year bond pays $60 in interest semiannually. You are also considering the purchaseof another Vanguard Company bond that returns $30 in semiannual interest payments andhas six years remaining before it matures. This bond has a face value of $1,000.a. What is effective annual return on the five-year bond?b. Assume that the rate you calculated in part (a) is the correct rate for the bond with sixyears remaining before it matures. What should you be willing to pay for that bond?c. How will your answer to part (b) change if the five-year bond pays $40 in semiannualinterest? Solutionsa. The semi-annual interest rate is $60 / $1,000 = 0.06. Thus, the effective annual rate is 1.062 - 1 =0.1236 = 12.36%.b. Price = $301206.0A+ $1,000 / 1.0612= $748.48c. Price = $301204.0A+ $1,000 / 1.0412= $906.15Note: In parts b and c we are implicitly assuming that the yield curve is flat. That is, the yield in year 5 applies for year 6 as well.Bond Concepts5.7 Consider two bonds, bond A and bond B, with equal rates of 10 percent and the same facevalues of $1,000. The coupons are paid annually for both bonds. Bond A has 20 years tomaturity while bond B has10 years to maturity.a. What are the prices of the two bonds if the relevant market interest rate is 10 percent?b. If the market interest rate increases to 12 percent, what will be the prices of the two bonds?c. If the market interest rate decreases to 8 percent, what will be the prices of the two bonds? Solutionsa. PA = $1002010.0A+ $1,000 / 1.1020 = $1,000PB = $1001010.0A+ $1,000 / 1.1010 = $1,000b. PA = $1002012.0A+ $1,000 / 1.1220 = $850.61PB = $1001012.0A+ $1,000 / 1.1210 = $887.00c. PA = $1002008.0A+ $1,000 / 1.0820 = $1,196.36PB = $1001008.0A+ $1,000 / 1.0810 = $1,134.205.8 a. If the market interest rate (the required rate of return that investors demand)unexpectedly increases, what effect would you expect this increase to have on theprices of long-term bonds? Why?b. What would be the effect of the rise in the interest rate on the general level of stockprices? Why? Solutionsa. The price of long-term bonds should fall. The price is the PV of the cash flowsassociated with the bond. As the interest rate rises, the PV of those flows falls.This can be easily seen by looking at a one-year, pure discount bond.Price = $1,000 / (1 + i)As i. increases, the denominator rises. This increase causes the price to fall.b. The effect upon stocks is not as certain as that upon the bonds. The nominalinterest rate is a function of both the real interest rate and the inflation rate; i.e.,(1 + i) = (1 + r) (1 + inflation)From this relationship it is easy to conclude that as inflation rises, the nominal interest rate rises. Stock prices are a function of dividends and future prices as well as the interest rate. Those dividends and future prices are determined by the earning power of the firm. When inflation occurs, it may increase or decrease firm earnings. Thus, the effect of a rise in the level of general prices upon the level of stock prices is uncertain.5.9 Consider a bond that pays an $80 coupon annually and has a face value of $1,000.Calculate the yield to maturity if the bond hasa. 20 years remaining to maturity and it is sold at $1,200.b. 10 years remaining to maturity and it is sold at $950.Solutions a. $1,200 = $8020rA+ $1,000 / (1 + r)20r = 0.0622 = 6.22%b. $950 = $8010rA+ $1,000 / (1 + r)10r = 0.0877 = 8.77%5.10 The Sue Fleming Corporation has two different bonds currently outstanding. Bond A has aface value of $40,000 and matures in 20 years. The bond makes no payments for the firstsix years and then pays $2,000 semiannually for the subsequent eight years, and finallypays $2,500 semiannually for the last six years. Bond B also has a face value of $40,000and a maturity of 20 years; it makes no coupon payments over the life of the bond. If therequired rate of return is 12 percent compounded semiannually, what is the current price ofBond A? of Bond B?Solutions PA = ($2,0001606.0A) / (1.06)12 + ($2,5001206.0A) / (1.06)28 + $40,000 / (1.06)40= $18,033.86PB = $ 40,000 / (1.06)40 = $3,888.89The Present Value of Common Stocks5.11 Use the following February 11, 2000, WSJ quotation for AT&T Corp. Which of thefollowing statements is false?a. The closing price of the bond with the shortest time to maturity was $1,000.b. The annual coupon for the bond maturing in year 2016 is $90.00.c. The price on the day before this quotation (i.e., February 9) for the ATT bond maturingin year 2022 was $1.075 per bond contract.d. The current yield on the ATT bond maturing in year 2002 was 7.125%e. The ATT bond maturing in year 2002 has a yield to maturity less than 7.125%.Bonds Cur Yld Vol Close Net ChgATT 9s 16 ? 10 117 _ 1/4ATT 5 1/8 01 ? 5 100 _ 3/4ATT 7 1/8 02 ? 193 104 1/8 _ 1/4ATT 8 1/8 22 ? 39 107 3/8 _ 1/8Solutions a. TrueTrueFalseFalseTrue5.12 Following are selected quotations for New York Exchange Bonds from the Wall StreetJournal. Which of the following statements about Wilson’s bond is false?a. The bond maturing in year 2000 has a yield to maturity greater than 63⁄8%.b. The closing price of the bond with the shortest time to maturity on the day before thisquotation was $1,003.25.c. This annual coupon for the bond maturing in year 2013 is $75.00.d. The current yield on the Wilson’s bond with the longest time to maturity was 7.29%.e. None of the above.Quotations as of 4 P.M. Eastern TimeFriday, April 23, 1999Bonds Current Yield Vol Close NetWILSON 6 3/8 99 ? 76 100 3/8 _ 1/8WILSON 6 3/8 00 ? 9 98 1/2WILSON 7 1/4 02 ? 39 103 5/8 1/8WILSON 7 1/2 13 ? 225 102 7/8 _ 1/8Solutions a. TrueFalseTrueTrueFalse5.13 A common stock pays a current dividend of $2. The dividend is expected to grow at an8-percent annual rate for the next three years; then it will grow at 4 percent in perpetuity.The appropriate discount rate is 12 percent. What is the price of this stock?Solutions Price = $2 (1.08) / 1.12 + $2 (1.082) / 1.122 + $2 (1.083) / 1.123+ {$2 (1.083) (1.04) / (0.12 - 0.04)} / 1.123= $28.895.14 Use the following February 12, 1998, WSJ quotation for Merck & Co. to answer the nextquestion. 52 Weeks Yld Vol NetHi Lo Stock Sym Div % PE 100s Hi Lo Close Chg120. 80.19 Merck MRK 1.80 ? 30 195111 115.9 114.5 115 _1.25Which of the following statements is false?a. The dividend yield was about 1.6%.b. The 52 weeks’ trading range was $39.81.c. The closing price per share on February 10, 1998, was $113.75.d. The closing price per share on February 11, 1998, was $115.e. The earnings per share were about $3.83.Solutions a. FalseTrueFalseFalseTrue5.15 Use the following stock quote.52 Weeks Yld Vol NetHi Lo Stock Sym Div % PE 100s Hi Lo Close Chg126.25 72.50 Citigroup CCI 1.30 1.32 16 20925 98.4 97.8 98.13 _.13The expected growth rate in Citigroup’s dividends is 7% a year. Suppose you use thediscounted dividend model to price Citigroup’s shares. The constant growth dividendmodel would suggest that the required return on the Citigroup’s stock is what?98.125 = 1.30 ( 1.07) / r - 0.07r = 8.4175 %5.16 You own $100,000 worth of Smart Money stock. At the end of the first year you receive adividend of $2 per share; at the end of year 2 you receive a $4 dividend. At the end of year3 you sell the stock for $50 per share. Only ordinary (dividend) income is taxed at the rateof 28 percent. Taxes are paid at the time dividends are received. The required rate of returnis 15 percent. How many shares of stock do you own? Solutions Price = $2 (0.72) / 1.15 + $4 (0.72) / 1.152 + $50 / 1.153= $36.31The number of shares you own = $100,000 / $36.31 = 2,754 shares5.17 Consider the stock of Davidson Company that will pay an annual dividend of $2 in thecoming year. The dividend is expected to grow at a constant rate of 5 percent permanently.The market requires a 12-percent return on the company.a. What is the current price of a share of the stock?b. What will the stock price be 10 years from today?Solutionsa. P = $2 / (0.12 - 0.05) = $28.57b. P10 = D11 / (r - g)= $2 (1.0510) / (0.12 - 0.05) = $46.545.18 Easy Type, Inc., is one of a myriad of companies selling word processor programs.Their newest program will cost $5 million to develop. First-year net cash flows will be$2 million. As a result of competition, profits will fall by 2 percent each year thereafter.All cash inflows will occur at year-end. If the market discount rate is 14 percent, what isthe value of this new program?SolutionsValue = -$5,000,000 + $2,000,000 / {0.14 - (-0.02)}= $7,500,0005.19 Whizzkids, Inc., is experiencing a period of rapid growth. Earnings and dividends pershare are expected to grow at a rate of 18 percent during the next two years, 15 percent inthe third year, and at a constant rate of 6 percent thereafter. Whizzkids’ last dividend,which has just been paid, was $1.15. If the required rate of return on the stock is 12percent, what is the price of a share of the stock today?SolutionsPrice = $1.15 (1.18) / 1.12 + $1.15 (1.182) / 1.122 + $1.152 (1.182) / 1.123+ {$1.152 (1.182) (1.06) / (0.12 - 0.06)} / 1.123= $26.955.20 Allen, Inc., is expected to pay an equal amount of dividends at the end of the first twoyears. Thereafter, the dividend will grow at a constant rate of 4 percent indefinitely. Thestock is currently traded at $30. What is the expected dividend per share for the next yearif the required rate of return is 12 percent?Solutions$30 = D / 1.12 + D / 1.122 + {D (1 + 0.04) / (0.12 - 0.04)} / 1.122= 12.053571 DD = $2.495.21 Calamity Mining Company’s reserves of ore are being depleted, and its costs ofrecovering a declining quantity of ore are rising each year. As a result, the company’searnings are declining at the rate of 10 percent per year. If the dividend per share that isabout to be paid is $5 and the required rate of return is 14 percent, what is the value of thefirm’s stock?SolutionsDividend one year from now = $5 (1 - 0.10) = $4.50Price = $5 + $4.50 / {0.14 - (-0.10)} = $23.75Since the current $5 dividend has not yet been paid, it is still included in the stock price.5.22 The Highest Potential, Inc., will pay a quarterly dividend per share of $1 at the end of eachof the next 12 quarters. Subsequently, the dividend will grow at a quarterly rate of 0.5percent indefinitely. The appropriate rate of return on the stock is 10 percent. What is thecurrent stock price?Estimates of Parameters in the Dividend-Discount ModelSolutionsPrice = $112025.0A+ {$1 (1 + 0.005) / (0.025 - 0.005)} / 1.02512= $10.26 + $37.36= $47.625.23 The newspaper reported last week that Bradley Enterprises earned $20 million. The reportalso stated that the firm’s return on equity remains on its historical trend of 14 percent.Bradley retains 60 percent of its earnings. What is the firm’s growth rate of earnings?What will next year’s earnings be?SolutionsGrowth rate g = 0.6 ⨯ 0.14 = 0.084 = 8.4%Next year earnings = $20 million ⨯ 1.084 = $21.68 million5.24 Von Neumann Enterprises has just reported earnings of $10 million, and it plans to retain 75percent of its earnings. The company has 1.25 million shares of common stock outstanding.The stock is selling at $30. The historical return on equity (ROE) of 12 percent is expectedto continue in the future. What is the required rate of return on the stock?Growth Opportunitiesg = retention ratio ⨯ ROE = 0.75 ⨯ 0.12= 0.09 = 9%Dividend per share = $10 million ⨯ (1 - 0.75) / 1.25 million= $2The required rate of return = $2 (1.09) / $30 + 0.09= 0.1627 = 16.27%5.25 Rite Bite Enterprises sells toothpicks. Gross revenues last year were $3 million, and totalcosts were $1.5 million. Rite Bite has 1 million shares of common stock outstanding.Gross revenues and costs are expected to grow at 5 percent per year. Rite Bite pays noincome taxes, and all earnings are paid out as dividends.a. If the appropriate discount rate is 15 percent and all cash flows are received at year’send, what is the price per share of Rite Bite stock?b. The president of Rite Bite decided to begin a program to produce toothbrushes. Theproject requires an immediate outlay of $15 million. In one year, another outlay of$5 million will be needed. The year after that, net cash inflows will be $6 million. Thisprofit level will be maintained in perpetuity. What effect will undertaking this projecthave on the price per share of the stock?Solutionsa. Price = ($3 - $1.5) ⨯ 1.05 / (0.15 - 0.05)= $15.75b. NPVGO = -$15,000,000 - $5,000,000 / 1.15 + ($6,000,000 / 0.15) / 1.15= $15,434,783The price increases by $15.43 per share.5.26 California Electronics, Inc., expects to earn $100 million per year in perpetuity if it doesnot undertake any new projects. The firm has an opportunity that requires an investment of$15 million today and $5 million in one year. The new investment will begin to generateadditional annual earnings of $10 million two years from today in perpetuity. The firm has20 million shares of common stock outstanding, and the required rate of return on thestock is 15 percent.a. What is the price of a share of the stock if the firm does not undertake the new project?b. What is the value of the growth opportunities resulting from the new project?c. What is the price of a share of the stock if the firm undertakes the new project?Solutionsa. Price = EPS / r = {$100 million / 20 million} / 0.15= $33.33b. NPV = -$15 million - $5 million / 1.15 + ($10 million / 0.15) / 1.15= $38,623,188c. Price = $33.33 + $38,623,188 / 20,000,000= $35.265.27 Suppose Smithfield Foods, Inc., has just paid a dividend of $1.40 per share. Sales andprofits for Smithfield Foods are expected to grow at a rate of 5% per year. Its dividend isexpected to grow by the same rate. If the required return is 10%, what is the value of ashare of Smithfield Foods?SolutionsPrice = 1.40 (1.05) / 0.10 - 0.05Price = $29.405.28 In order to buy back its own shares, Pennzoil Co. has decided to suspend its dividends forthe next two years. It will resume its annual cash dividend of $2.00 a share 3 years fromnow. This level of dividendswill be maintained for one more year. Thereafter, Pennzoil isexpected to increase its cash dividend payments by an annual growth rate of 6% per yearforever. The required rate of return on Pennzoil’s stock is 16%. According to thediscounted dividend model, what should Pennzoil’s current share price be? SolutionsPrice = 2 / (1.16) 3 + 2 / (1.16)4 + 2.12 / 0.16 - 0.06= 1.28 + 1.10 + 21.20= $23.585.29 Four years ago, Ultramar Diamond Inc. paid a dividend of $0.80 per share. This yearUltramar paid a dividend of $1.66 per share. It is expected that the company will paydividends growing at the same rate for the next 5 years. Thereafter, the growth rate willlevel at 8% per year. The required return on this stock is 18%. According to the discounteddividend model, what would Ultramar’s cash dividend be in 7 years?a. $2.86c. $3.68d. $4.30e. $4.82Solutionsa. g = 0.4 ⨯ 0.15 = 0.06 = 6%b. Dividend per share = $1.5 million ⨯ 0.6 / 300,000= $3Price = $3 (1.06) / (0.13 - 0.06)= $45.43c. Assuming the additional earnings generated are all paid out as cash dividends.NPV = -$1.2 million + $0.3 million {1 / (0.13 - 0.10)} {1 - (1.10 / 1.13)10}= $1,159,136.93d. Price = $45.43 + $1,159,136.93 / 300,000= $49.295.30 The Webster Co. has just paid a dividend of $5.25 per share. The company will increase itsdividend by 15 percent next year and will then reduce its dividend growth by 3 percenteach year until it reaches the industry average of 5 percent growth, after which thecompany will keep a constant growth, forever. The required rate of return for the WebsterCo. is 14 percent. What will a share of stock sell for?SolutionsPrice = 3 / 1.15 + 4.5 / ( 1.15)2 + 4.725 / 0.15- 0.05= 2.61 + 3.40 + 47.52= $53.535.31 Consider Pacific Energy Company and U.S. Bluechips, Inc., both of which reported recentearnings of $800,000 and have 500,000 shares of common stock outstanding. Assume bothfirms have the same required rate of return of 15 percent a year.a. Pacific Energy Company has a new project that will generate cash flows of $100,000each year in perpetuity. Calculate the P/E ratio of the company.Chapter 5 How to Value Bonds and Stocks 129b. U.S. Bluechips has a new project that will increase earnings by $200,000 in the comingyear. The increased earnings will grow at 10 percent a year in perpetuity. Calculate theP/E ratio of the firm. Solutionsa. P/E of Pacific Energy Company:EPS = ($800,000 / 500,000) = $1.6NPVGO = {$100,000 / 500,000} / 0.15 = $1.33P/E = 1 / 0.15 + 1.33 / 1.6 = 7.50b. P/E of U. S. Bluechips, Inc.:NPVGO = {$200,000 / 500,000} / (0.15 - 0.10) = $8P/E = 1 / 0.15 + 8 / 1.6 = 11.675.32 (Challenge Question) Lewin Skis Inc. (today) expects to earn $4.00 per share for each ofthe future operating periods (beginning at time 1) if the firm makes no new investments(and returns the earnings as dividends to the shareholders). However, Clint Williams,President and CEO, has discovered an opportunity to retain (and invest) 25% of theearnings beginning three years from today (starting at time 3). This opportunity to investwill continue (for each period) indefinitely. He expects to earn 40% (per year) on this newequity investment (ROE of 40), the return beginning one year after each investment ismade. The firm’s equity discount rate is 14% throughout.a. What is the price per share (now at time 0) of Lewin Skis Inc. stock without making thenew investment?b. If the new investment is expected to be made, per the preceding information, whatwould the value of the stock (per share) be now (at time 0)?c. What is the expected capital gain yield for the second period, assuming the proposedinvestment is made? What is the expected capital gain yield for the second period if theproposed investment is not made?d. What is the expected dividend yield for the second period if the new investment ismade? What is the expected dividend yield for the second period if the new investmentis not made?Solutionsa. Price = $4 / 0.14 = $28.57Price = 28.57 + (-1 + 0.40 / 0.14) / 0.04(1.14) 3= 28.57 + 31.33The expected return of 14% less the dividend yield of 5% providesa capital gain yield of 9%. If there is no investment the yield is 14%.$3 / $59.90 = .05 and $4 / $28.57 = .14 without the investment.Appendix to Chapter 5Questions And ProblemsA.1 The appropriate discount rate for cash flows received one year from today is 10 percent. Theappropriate annual discount rate for cash flows received two years from today is 11 percent.a. What is the price of a two-year bond that pays an annual coupon of 6 percent?b. What is the yield to maturity of this bond?Solutionsa. P = $60 / 1.10 + $1,060 / (1.11)2= $54.55 + $ 860.32= $914.87$914.87 = $60 / ( 1 + y ) + $1,060 / ( 1 + y )2y = YTM = 10.97%A.2 The one-year spot rate equals 10 percent and the two-year spot rate equals 8 percent. Whatshould a 5-percent coupon two-year bond cost?SolutionsP = $50 / 1.10 + $1,050 / (1.08)2= $45.45 + $900.21= $945.66A.3 If the one-year spot rate is 9 percent and the two-year spot rate is 10 percent, what is theforward rate? Solutions ( 1 + r1 )( 1 + ƒ2 ) = ( 1 + r2 )2( 1.09 ) ( 1 + ƒ2 ) = ( 1.10 )2ƒ2 = .1101A.4 Assume the following spot rates:Maturity Spot Rates (%)1 52 73 10What are the forward rates over each of the three years?Solutions( 1 + r2 )2 = ( 1+ r1 ) ( 1 + ƒ2 )( 1.07 )2 = ( 1.05 )( 1 + ƒ2 )ƒ2 = .0904, one-year forward rate over the 2nd year is 9.04%.( 1 + r3 )3 = ( 1 + r2 )2 ( 1 + ƒ3 )( 1.10 )3 = ( 1.07 )2 ( 1 + ƒ3 )ƒ3 = .1625, one-year forward rate over the 3rd year is 16.25%.。
《公司理财》课后习题答案
封面作者：PanHongliang仅供个人学习《公司理财》考试范围：第3~7章，第13章，第16~19章，其中第16章和18章为较重点章节。
书上例题比较重要，大家记得多多动手练练。
PS：书中课后例题不出，大家可以当习题练练~考试卷型：1.单选题10分 2.判断题10分 3.证明题10分 4.计算分析题60分5.论述题10分注：第13章没有答案第一章1.在所有权形式的公司中,股东是公司的所有者。
股东选举公司的董事会,董事会任命该公司的管理层。
企业的所有权和控制权分离的组织形式是导致的代理关系存在的主要原因。
管理者可能追求自身或别人的利益最大化,而不是股东的利益最大化。
在这种环境下,他们可能因为目标不一致而存在代理问题。
2.非营利公司经常追求社会或政治任务等各种目标。
非营利公司财务管理的目标是获取并有效使用资金以最大限度地实现组织的社会使命。
3.这句话是不正确的。
管理者实施财务管理的目标就是最大化现有股票的每股价值，当前的股票价值反映了短期和长期的风险、时间以及未来现金流量。
4.有两种结论。
一种极端,在市场经济中所有的东西都被定价。
因此所有目标都有一个最优水平，包括避免不道德或非法的行为，股票价值最大化。
另一种极端,我们可以认为这是非经济现象,最好的处理方式是通过政治手段。
一个经典的思考问题给出了这种争论的答案:公司估计提高某种产品安全性的成本是30美元万。
然而,该公司认为提高产品的安全性只会节省20美元万。
请问公司应该怎么做呢?”5.财务管理的目标都是相同的,但实现目标的最好方式可能是不同的,因为不同的国家有不同的社会、政治环境和经济制度。
6.管理层的目标是最大化股东现有股票的每股价值。
如果管理层认为能提高公司利润，使股价超过35美元,那么他们应该展开对恶意收购的斗争。
如果管理层认为该投标人或其它未知的投标人将支付超过每股35美元的价格收购公司,那么他们也应该展开斗争。
然而,如果管理层不能增加企业的价值,并且没有其他更高的投标价格,那么管理层不是在为股东的最大化权益行事。
《公司理财》课后习题答案解析
《公司理财》考试范围:第3~7章,第13章,第16~19章,其中第16章与18章为较重点章节。
书上例题比较重要,大家记得多多动手练练。
PS:书中课后例题不出,大家可以当习题练练~考试题型:1、单选题10分 2、判断题10分 3、证明题10分 4、计算分析题60分 5、论述题10分注:第13章没有答案第一章1.在所有权形式得公司中,股东就是公司得所有者。
股东选举公司得董事会,董事会任命该公司得管理层。
企业得所有权与控制权分离得组织形式就是导致得代理关系存在得主要原因。
管理者可能追求自身或别人得利益最大化,而不就是股东得利益最大化。
在这种环境下,她们可能因为目标不一致而存在代理问题。
2.非营利公司经常追求社会或政治任务等各种目标。
非营利公司财务管理得目标就是获取并有效使用资金以最大限度地实现组织得社会使命。
3.这句话就是不正确得。
管理者实施财务管理得目标就就是最大化现有股票得每股价值,当前得股票价值反映了短期与长期得风险、时间以及未来现金流量。
4.有两种结论。
一种极端,在市场经济中所有得东西都被定价。
因此所有目标都有一个最优水平,包括避免不道德或非法得行为,股票价值最大化。
另一种极端,我们可以认为这就是非经济现象,最好得处理方式就是通过政治手段。
一个经典得思考问题给出了这种争论得答案:公司估计提高某种产品安全性得成本就是30美元万。
然而,该公司认为提高产品得安全性只会节省20美元万。
请问公司应该怎么做呢?”5.财务管理得目标都就是相同得,但实现目标得最好方式可能就是不同得,因为不同得国家有不同得社会、政治环境与经济制度。
6、管理层得目标就是最大化股东现有股票得每股价值。
如果管理层认为能提高公司利润,使股价超过35美元,那么她们应该展开对恶意收购得斗争。
如果管理层认为该投标人或其它未知得投标人将支付超过每股35美元得价格收购公司,那么她们也应该展开斗争。
然而,如果管理层不能增加企业得价值,并且没有其她更高得投标价格,那么管理层不就是在为股东得最大化权益行事。
《公司理财》课后习题答案
封面作者：PanHongliang仅供个人学习《公司理财》考试范围：第3~7章，第13章，第16~19章，其中第16章和18章为较重点章节。
书上例题比较重要，大家记得多多动手练练。
PS：书中课后例题不出，大家可以当习题练练~考试卷型：1.单选题10分 2.判断题10分 3.证明题10分 4.计算分析题60分5.论述题10分注：第13章没有答案第一章1.在所有权形式的公司中,股东是公司的所有者。
股东选举公司的董事会,董事会任命该公司的管理层。
企业的所有权和控制权分离的组织形式是导致的代理关系存在的主要原因。
管理者可能追求自身或别人的利益最大化,而不是股东的利益最大化。
在这种环境下,他们可能因为目标不一致而存在代理问题。
2.非营利公司经常追求社会或政治任务等各种目标。
非营利公司财务管理的目标是获取并有效使用资金以最大限度地实现组织的社会使命。
3.这句话是不正确的。
管理者实施财务管理的目标就是最大化现有股票的每股价值，当前的股票价值反映了短期和长期的风险、时间以及未来现金流量。
4.有两种结论。
一种极端,在市场经济中所有的东西都被定价。
因此所有目标都有一个最优水平，包括避免不道德或非法的行为，股票价值最大化。
另一种极端,我们可以认为这是非经济现象,最好的处理方式是通过政治手段。
一个经典的思考问题给出了这种争论的答案:公司估计提高某种产品安全性的成本是30美元万。
然而,该公司认为提高产品的安全性只会节省20美元万。
请问公司应该怎么做呢?”5.财务管理的目标都是相同的,但实现目标的最好方式可能是不同的,因为不同的国家有不同的社会、政治环境和经济制度。
6.管理层的目标是最大化股东现有股票的每股价值。
如果管理层认为能提高公司利润，使股价超过35美元,那么他们应该展开对恶意收购的斗争。
如果管理层认为该投标人或其它未知的投标人将支付超过每股35美元的价格收购公司,那么他们也应该展开斗争。
然而,如果管理层不能增加企业的价值,并且没有其他更高的投标价格,那么管理层不是在为股东的最大化权益行事。
公司理财第六版课后答案_中文版
24、 a. b.
五年后需要 $25,000 ，那么折到现在应为$17,824.65 [= $25,000 / 1.075]. 然后再计算年金，如下：
$17,824.65
=C
Α5 0.07
$17,824.65 = C (4.1002)
C = $4,347.26
首先计算现值， $25,000 折到现在应为$17,824.65 [= $25,000 / 1.075]
$(5,000)
13、 a. 净营运资本变动额计算如下：
净营运资本来源 净利润 折旧 长期负债增加 总计
$100 50 75
$225
净营运资本使用 股利 固定资产增加* 总计
净营运资本变动额 *包括 $50 的折旧
$50 150 $200 $25
b. 企业所产生的现金流量 经营性现金流量 投资性现金流量（固定资产取 得） 净营运资本变动 总计 流向投资者的现金流量 负债 权益 总计
$ 4,000 8,000
$ 12,000
$ 34,000 82,000
$116,000 $128,000
负债与所有者权益 流动负债
应付账款 应交税金 流动资产合计 长期负债 应付债券 股东权益 普通股（面值为$100） 股本溢价 累计留存收益 股东权益合计 负债与股东权益总计
$ 6,000 2,000
b.
P= $30
Α 12 0.06
+ $1,000 / 1.0612
= $748.48
c.
P= $30
Α 12 0.04
+ $1,000 / 1.0412
= $906.15
注：在 b 和 c 两题，我们假定收益曲线是平坦的. 也就是说 5 年期的收益率同样适用
罗斯公司理财第六版习题答案第6章
Chapter 6: Some Alternative Investment RulesConcept Questions - Chapter 66.2 ∙List the problems of the payback period rule.1.It does not take into account the time value of money.2.It ignores payments after the payback period.3.The cutoff period is arbitrary.∙What are some advantages?1.It is simple to implement.2.It may help in controlling and evaluating managers.6.4 ∙What are the three steps in calculating AAR?1.Determine average net income.2.Determine average investment3.Divide average net income by average investment.∙What are some flaws with the AAR approach?1.It uses accounting figures.2.It takes no account of timing.3.The cutoff period is arbitrary.6.5 ∙How does one calculate the IRR of a project?Using either trial-and-error or a financial calculator, one finds the discount ratethat produces an NPV of zero.6.6 ∙What is the difference between independent projects and mutually exclusiveprojects?An independent project is one whose acceptance does not affect the acceptance of another. A mutually exclusive project, on the other hand is one whose acceptance precludes the acceptance of another.∙What are two problems with the IRR approach that apply to both independent and mutually exclusive projects?1.The decision rule depends on whether one is investing of financing.2.Multiple rates of return are possible.∙What are two additional problems applying only to mutually exclusive projects?1.The IRR approach ignores issues of scale.2.The IRR approach does not accommodate the timing of the cash flowsproperly.6.7 ∙How does one calculate a project's profitability index?Divide the present value of the cash flows subsequent to the initial investment by the initial investment.∙How is the profitability index applied to independent projects, mutually exclusive projects, and situations of capital rationing?1.With independent projects, accept the project if the PI is greater than 1.0 andreject if less than 1.0.2.With mutually exclusive projects, use incremental analysis, subtracting thecash flows of project 2 from project 1. Find the PI. If the PI is greater than1.0, accept project 1. If less than 1.0, accept project2.3.In capital rationing, the firm should simply rank the projects according to theirrespective PIs and accept the projects with the highest PIs, subject to thebudget constrain.Answers to End-of-Chapter ProblemsQUESTIONS AND PROBLEMSThe Payback Period Rule6.1 Fuji Software, Inc., has the following projects.Year Project A Project B0 _$7,500 _$5,0001 4,000 2,5002 3,500 1,2003 1,500 3,000a. Suppose Fuji’s cutoff payback period is two years. Which of these two projects should be chosen?b. Suppose Fuji uses the NPV rule to rank these two projects. If the appropriate discount rate is 15 percent, which project should be chosen?6.1 a. Payback period of Project A = 1 + ($7,500 - $4,000) / $3,500 = 2 yearsPayback period of Project B = 2 + ($5,000 - $2,500 -$1,200) / $3,000 = 2.43 yearsProject A should be chosen.b. NPV A = -$7,500 + $4,000 / 1.15 + $3,500 / 1.152 + $1,500 / 1.153 = -$388.96NPV B = -$5,000 + $2,500 / 1.15 + $1,200 / 1.152 + $3,000 / 1.153 = $53.83Project B should be chosen.6.2 Suppose Peach Paving Company invests $1 million today on a new construction project. The project will generate annual cash flows of $150,000 in perpetuity. The appropriate annual discount rate for the project is 10 percent.a. What is the payback period for the project? If the Peach Paving Company desires to have a 10-year payback period, should the project be adopted?b. What is the discounted payback period for the project?c. What is the NPV of the project?6.2 a. Payback period = 6 + {$1,000,000 - ($150,000 ⨯ 6)} / $150,000 = 6.67 yearsYes, the project should be adopted.A= $974,259b. $150,000 11.010The discounted payback period = 11 + ($1,000,000 - $974,259) / ($150,000 / 1.112)= 11.54 yearsc. NPV = -$1,000,000 + $150,000 / 0.10 = $500,000The Average Accounting Return6.3 The annual, end-of-year, book-investment accounts for the machine whose purchase your firm is considering are shown below.Purchase Year Year Year YearDate 1 2 3 4Gross investment $16,000 $16,000 $16,000 $16,000 $16,000Less: accumulateddepreciation ______0_ ___4_,0_0_0_ ___8_,0_0_0_ __1_2_,0_0_0_ _1_6_,_0_0_0Net investment $16,000 $12,000 $ 8,000 $ 4,000 $ 0If your firm purchases this machine, you can expect it to generate, on average, $4,500 peryear in additional net income.a. What is the average accounting return for this machine?b. What three flaws are inherent in this decision rule?6.3 a. Average Investment:($16,000 + $12,000 + $8,000 + $4,000 + 0) / 5 = $8,000Average accounting return:$4,500 / $8,000 = 0.5625 = 56.25%b. 1. AAR does not consider the timing of the cash flows, hence it does notconsider the time value of money.2. AAR uses an arbitrary firm standard as the decision rule.3. AAR uses accounting data rather than net cash flows.6.4 Western Printing Co. has an opportunity to purchase a $2 million new printing machine. It has an economic life of five years and will be worthless after that time. This new investment is expected to generate an annual net income of $100,000 one year from today and the income stream will grow at 7 percent per year subsequently. The company adopts a straight-line depreciation method (i.e., equal amounts of depreciation in each year). What is the average accounting return of the investment? Supposing Western Printing’s AAR cutoff is 20 percent, should the machine be purchased?6.4 Average Investment = ($2,000,000 + 0) / 2 = $1,000,000Average net income = [$100,000 {(1 + g)5 - 1} / g] / 5= {$100,000A (1.075 - 1} / 0.07} / 5= $115,014.78AAR = $115,014.78 / $1,000,000 = 11.50%No, since the machine’s AAR is less than the firm’s cutoff AAR.6.5 Nokia Group has invested $8,000 in a high-tech project. This cost is depreciated on an accelerated basis that yields $4,000, $2,500, $1,500 of depreciation, respectively, during its three-year economic life. The project is expected to produce income before tax of $2,000 each year during its economic life. If the tax rate is 25%, what is the project’s average accounting return (AAR)?a. 44.44%b. 50.23%c. 66.67%d. 70.00%e. 82.21%The Internal Rate of Return6.5 a6.6 Compute the internal rate of return on projects with the following cash flows.Cash Flows ($)Year Project A Project B0 _3,000 _6,0001 2,500 5,0002 1,000 2,000/ $160,000 = 1.046.6PI = $40,000 715.0Since the PI exceeds one accept the project.6.7 CPC, Inc., has a project with the following cash flows.Year Cash Flows ($)0 _8,0001 4,0002 3,0003 2,000a. Compute the internal rate of return on the project.b. Suppose the appropriate discount rate is 8 percent. Should the project be adopted by CPC?6.7 The IRR is the discount rate at which the NPV = 0.-$3,000 + $2,500 / (1 + IRR A) + $1,000 / (1 + IRR A)2 = 0By trial and error, IRR A = 12.87%Since project B’s cash flows are two times of those of project A, the IRR B = IRR A =12.87%6.8 Compute the internal rate of return for the cash flows of the following two projects.Cash Flows ($)Time A B0 _2,000 _1,5001 2,000 5002 8,000 1,0003 _8,000 1,5006.8 a. Solve x by trial and error:-$4,000 + $2,000 / (1 + x) + $1,500 / (1 + x)2 + $1,000 / (1 + x)3 = 0x = 6.93%b. No, since the IRR (6.93%) is less than the discount rate of 8%.6.9 Suppose you are offered $5,000 today and obligated to make scheduled payments as follows:Year Cash Flows ($)0 5,0001 _2,5002 _2,0003 _1,0004 _1,000a. What is the IRRs of this offer?b. If the appropriate discount rate is 10 percent, should you accept this offer?c. If the appropriate discount rate is 20 percent, should you accept this offer?Chapter 6 Some Alternative Investment Rules 165d. What is the corresponding NPV of the project if the appropriate discount rates are 10 percent and 20 percent, respectively? Are the choices under the NPV rule consistent with those of the IRR rule?6.9 Find the IRRs of project A analytically. Since the IRR is the discount rate that makes the NPVequal to zero, the following equation must hold.-$200 + $200 / (1 + r) + $800 / (1 + r)2 - $800 / (1 + r)3 = 0$200 [-1 + 1 / (1 + r)] - {$800 / (1 + r)2}[-1 + 1 / (1 + r)] = 0[-1 + 1 / (1 + r)] [$200 - $800 / (1 + r)2] = 0For this equation to hold, either [-1 + 1 / (1 + r)] = 0 or [$200 - $800 / (1 + r)2] = 0.Solve each of these factors for the r that would cause the factor to equal zero. Theresulting rates are the two IRRs for project A. They are either r = 0% or r = 100%.Note: By inspection you should have known that one of the IRRs of project A iszero. Notice that the sum of the un-discounted cash flows for project A is zero.Thus, not discounting the cash flows would yield a zero NPV. The discount ratewhich is tantamount to not discounting is zero.Here are some of the interactions used to find the IRR by trial and error.Sophisticated calculators can compute this rate without all of the tedium involved inthe trial-and-error method.NPV = -$150 + $50 / 1.3 + $100 / 1.32 + $150 / 1.33 = $15.91NPV = -$150 + $50 / 1.4 + $100 / 1.42 + $150 / 1.43 = -$8.60NPV = -$150 + $50 / 1.37 + $100 / 1.372 + $150 / 1.373 = -$1.89NPV = -$150 + $50 / 1.36 + $100 / 1.36 2 + $150 / 1.363 = $0.46NPV = -$150 + $50 / 1.36194 + $100 / 1.361942 + $150 / 1.361943= $0.0010NPV = -$150 + $50 / 1.36195 + $100 / 1.361952 + $150 / 1.361953= -$0.0013NPV = -$150 + $50 / 1.361944 + $100 / 1.3619442 + $150 / 1.3619443= $0.0000906Thus, the IRR is approximately 36.1944%.6.10 As the Chief Financial Officer of the Orient Express, you are offered the following twomutually exclusive projects.Year Project A Project B0 _$5,000 _$100,0001 3,500 65,0002 3,500 65,000a. What are the IRRs of these two projects?b. If you are told only the IRRs of the projects, which would you choose?c. What did you ignore when you made your choice in part (b)?d. How can the problem be remedied?e. Compute the incremental IRR for the projects.f. Based on your answer to part (e), which project should you choose?g. Suppose you have determined that the appropriate discount rate for these projectsis 15 percent. According to the NPV rule, which of these two projects should beadopted?6.10 a. Solve r in the equation:$5,000 - $2,500 / (1 + r) - $2,000 / (1 + r)2 - $1,000 / (1 + r)3- $1,000 / (1 + r)4 = 0By trial and error,IRR = r = 13.99%b. Since this problem is the case of financing, accept the project if the IRR is less thanthe required rate of return.IRR = 13.99% > 10%Reject the offer.c. IRR = 13.99% < 20%Accept the offer.d. When r = 10%:NPV = $5,000 - $2,500 / 1.1 - $2,000 / 1.12 - $1,000 / 1.13 - $1,000 / 1.14= -$359.95When r = 20%:NPV = $5,000 - $2,500 / 1.2 - $2,000 / 1.22 - $1,000 / 1.23 - $1,000 / 1.24= $466.82Yes, they are consistent with the choices of the IRR rule since the signs of the cashflows change only once.6.11 Consider two streams of cash flows, A and B. Cash flow A consists of $5,000 starting three years from today and growing at 4 percent in perpetuity. Cash flow B consists of _$6,000 starting two years from today and continuing in perpetuity. Assume the appropriate discount rate is 12 percent.a. What is the present value of each stream?b. What is the IRR of a project C, which is a combination of projects A and B; that is, C _ A _ B?c. If it is assumed that the discount rate is always positive, what is the rule related to IRR for assessing project C that would correspond to the NPV rule?6.11 a. Project A:NPV = -$5,000 + $3,500 / (1 + r) + $3,500 / (1 + r)2 = 0IRR = r = 25.69%Project B:NPV = -$100,000 + $65,000 / (1 + r) + $65,000 / (1 + r)2 = 0IRR = r = 19.43%b. Choose project A because it has a higher IRR.c. The difference in scale is ignored.d. Apply the incremental IRR method.e.C0C1C2B - A -$95,000 $61,500 $61,500NPV = -$95,000 + $61,500 / (1 + r) + $61,500 / (1 + r)2 = 0Incremental IRR = r = 19.09%f. If the discount rate is less than 19.09%, choose project B.Otherwise, choose project A.g. NPV A = -$5,000 + $3,500 / 1.15 + $3,500 / 1.152 = $689.98NPV B = -$100,000 + $65,000 / 1.15 + $65,000 / 1.152 = $5,671.08Choose project B.6.12 Project A involves an investment of $1 million, and project B involves an investment of $2 million. Both projects have a unique internal rate of return of 20 percent. Is the following statement true or false? Explain your answer.For any discount rate between 0 percent and 20 percent, inclusive, project B has an NPV twice as great as that of project A.6.12 a. PV A = {$5,000 / (0.12 - 0.04)} / 1.122 = $49,824.61 PV B = (-$6,000 / 0.12) / 1.12 = -$44,642.86 b. The IRR for project C must solve{$5,000 / (x - 0.04)} / (1 + x)2 + (-$6,000 / x) / (1 + x) = 0 $5,000 / (x - 0.04) - $6,000 (1 + x) / x = 0 25 x 2 + 3.17 x - 1 =0x = {-3.17 - (110.0489)0.5} / 50 or {-3.17 + (110.0489)0.5} / 50 The relevant positive root is IRR = x = 0.1464 = 14.64%c.To arrive at the appropriate decision rule, we must graph the NPV as a function of the discount rate. At a discount rate of 14.64% the NPV is zero. To determine if the graph is upward or downward sloping, check the NPV at another discount rate. At a discount rate of 10% the NPV is $14,325.07 [= $68,870.52 - $54,545.54]. Thus, the graph of the NPV is downward sloping. From the discussion in the text, if an NPV graph is downward sloping, the project is an investing project. The correct decision rule for an investing project is to accept the project if the discount rate is below 14.64%.The Profitability Index6.13 Suppose the following two mutually exclusive investment opportunities are available to the DeAngelo Firm. The appropriate discount rate is 10 percent. Year Project Alpha Project Beta 0 _$500 _$2,000 1 _300 _300 2 700 1,800 3 600 1,700a. What is the NPV of project alpha and project beta?b. Which project would you recommend for the DeAngelo Firm?6.13 Generally, the statement is false. If the cash flows of project B occur early and the cashflows of project A occur late, then for a low discount rate the NPV of A can exceed the NPV of B. Examples are easy to construct.14.64%10%rNPV$14,325.07C0C1C2IRR NPV @ 0% A: -$1,000,000 $0 $1,440,000 0.20 $440,000B: -2,000,000 2,400,000 0 0.20 400,000 In one particular case, the statement is true for equally risky projects. If the lives of thetwo projects are equal and in every time period the cash flows of the project B are twicethe cash flows of project A, then the NPV of project B will be twice as great as the NPV of project A for any discount rate between 0% and 20%.6.14 The firm for which you work must choose between the following two mutually exclusive projects. The appropriate discount rate for the projects is 10 percent.ProfitabilityC0 C1 C2 Index NPVA _$1,000 $1,000 $500 1.32 $322B _500 500 400 1.57 285The firm chose to undertake A. At a luncheon for shareholders, the manager of a pension fund that owns a substantial amount of the firm’s stock asks you why the firm chose project A instead of project B when B is more profitable.How would you justify your firm’s action? Are there any circumstances under which the pension fund manager’s argument could be correct?6.14 a. NPVα = $756.57 - $500 = $256.57NPVβ = $2,492.11 - $2,000 = $492.11b. Choose project beta.6.15 The treasurer of Davids, Inc., has projected the cash flows of projects A, B, and C as follows. Suppose the relevant discount rate is 12 percent a year.Year Project A Project B Project C0 _$100,000 _$200,000 _$100,0001 70,000 130,000 75,0002 70,000 130,000 60,000a. Compute the profitability indices for each of the three projects.b. Compute the NPVs for each of the three projects.c. Suppose these three projects are independent. Which projects should Davids accept based on the profitability index rule?d. Suppose these three projects are mutually exclusive. Which project should Davids accept based on the profitability index rule?e. Suppose Davids’ budget for these projects is $300,000. The projects are not divisible. Which projects should Davids accept?6.15 Although the profitability index is higher for project B than for project A, the NPV is theincrease in the value of the company that will occur if a particular project is undertaken.Thus, the project with the higher NPV should be chosen because it increases the value of the firm the most. Only in the case of capital rationing could the pension fund manager be correct.6.16 Bill plans to open a self-serve grooming center in a storefront. The grooming equipment will cost $160,000. Bill expects the after-tax cash inflows to be $40,000 annually for seven years, after which he plans to scrap the equipment and retire to the beaches of Jamaica.Assume the required return is 15%. What is the project’s PI? Should it be accepted?Comparison of Investment Rules6.16 a. PI A = ($70,000 / 1.12 + $70,000 / 1.122) / $100,000 = 1.183PI B = ($130,000 / 1.12 + $130,000 / 1.122) / $200,000 = 1.099PI C = ($75,000 / 1.12 + $60,000 / 1.122) / $100,000 = 1.148b. NPV A = -$100,000 + $118,303.57 = $18,303.57NPV B = -$200,000 + $219,706.63 = $19,706.63NPV C = -$100,000 + $114,795.92 = $14,795.92c. Accept all three projects because PIs of all the three projects are greater than one.d. Based on the PI rule, project C can be eliminated because its PI is less than the oneof project A, while both have the same amount of the investment. We can computethe PI of the incremental cash flows between the two projects,Project C0C1C2PIB - A -$100,000 $60,000 $60,000 1.014We should take project B since the PI of the incremental cash flows is greater thanone.e. Project B has the highest NPV, while A has the next highest NPV.Take both projects A and B.6.17 Define each of the following investment rules. In your definition state the criteria for accepting or rejecting an investment under each rule.a. Payback periodb. Average accounting returnc. Internal rate of returnd. Profitability indexe. Net present value6.17 a. The payback period is the time it takes to recoup the initial investment of a project.Accept any project that has a payback period that is equal to or shorter than thecompany’s standard payback period. Reject all other projects.b. The average accounting return (AAR) is defined asAverage project earnings ÷ Average book value of the investment.Accep t projects for which the AAR is equal to or greater than the firm’s standard.Reject all other projects.c. The internal rate of return (IRR) is the discount rate which makes the net presentvalue (NPV) of the project zero. The accept / reject criteria is:If C0 < 0 and all future cash flows are positive, accept the project if IRR ≥discount rate.If C0 < 0 and all future cash flows are positive, reject the project if IRR <discount rate.If C0 > 0 and all future cash flows are negative, accept the project if IRR ≤discount rate.If C0 > 0 and all future cash flows are negative, reject the project if IRR >discount rate.If the project has cash flows that alternate in sign, there is likely to be more thanone positive IRR. In that situation, there is no valid IRR accept / reject rule.d. The profitability index (PI) is defined as:(The present value of the cash flows subsequent to the initial investment ÷The initial investment)Accept any project for which the profitability index is equal to or greater thanone. Reject project for which that is not true.e. The net present value (NPV) is the sum of the present values of all project cashflows. Accept those projects with NPVs which are equal to or greater than zero.Rejects p roposals with negative NPVs.6.18 Consider the following cash flows of two mutually exclusive projects for Chinese Daily News.New Sunday New SaturdayYear Early Edition Late Edition0 _$1,200 _$2,1001 600 1,0002 550 9003 450 800a. Based on the payback period rule, which project should be chosen?b. Suppose there is no corporate tax and the cash flows above are income before the depreciation. The firm uses a straight-line depreciation method (i.e., equal amounts of depreciation in each year). What is the average accounting return for each of these two projects?c. Which project has a greater IRR?d. Based on the incremental IRR rule, which project should be chosen?6.18 Let project A represent New Sunday Early Edition; and let project B represent NewSaturday Late Edition.a. Payback period of project A = 2 + ($1,200 - $1,150) / $450 = 2.11 yearsPayback period of project B = 2 + ($2,100 - $1,900) / $800 = 2.25 yearsBased on the payback period rule, you should choose project A.b. Project A:Average investment = ($1,200 + $0) / 2 = $600Depreciation = $400 / yearAverage income = [($600 - $400) + ($550 - $400) + ($450 - $400)] / 3= $133.33AAR = $133.33 / $600 = 22.22%Project B:Average investment = ($2,100 + $0) / 2 = $1,050Depreciation = $700 / yearAverage income = [($1,000 - $700) + ($900 - $700) + ($800 - $700)] / 3= $200AAR = $200 / $1,050 = 19.05%c. IRR of project A:-$1,200 + $600 / (1 + r) + $550 / (1 + r)2 + $450 / (1 + r)3 = 0IRR = r = 16.76%IRR of project B:-$2,100 + $1,000 / (1 + r) + $900 / (1 + r)2 + $800 / (1 + r)3 = 0IRR = r = 14.29%Project A has a greater IRR.d. IRR of project B-A:Incremental cash flowsYear 0 1 2 3B - A -$900 $400 $350 $350-$900 + $400 / (1 + r) + $350 / (1 + r)2 + $350 / (1 + r)3 = 0Incremental IRR = r = 11.02%If the required rate of return is greater than 11.02%, then choose project A.If the required rate of return is less than 11.02%, then choose project B.6.19 Consider the following cash flows on two mutually exclusive projects that require an annual return of 15 percent. Working in the financial planning department for the Bahamas Recreation Corp., you are trying to compare different investment criteria to arrive at a sensible choice of these two projects.Deepwater New SubmarineYear Fishing Ride0 _$600,000 _$1,800,0001 270,000 1,000,0002 350,000 700,0003 300,000 900,000a. Based on the discounted payback period rule, which project should be chosen?b. If your decision rule is to accept the project with a greater IRR, which project should you choose?c. Since you are fully aware of the IRR rule’s scale problem, you calculate the incremental IRR for the cash flows. Based on your computation, which project should you choose?d. To be prudent, you compute the NPV for both projects. Which project should you choose? Is it consistent with the incremental IRR rule?6.19 Let project A be Deepwater Fishing; let project B be New Submarine Ride.a. Project A:Year Discounted CF Cumulative CF0 -$600,000 -$600,0001 234,783 -365,2172 264,650 -100,5673 197,255Discounted payback period of project A = 2 + $100,567 / $197,255= 2.51 yearsProject B:Year Discounted CF Cumulative CF0 -$1,800,000 -$1,800,0001 869,565 -930,4352 529,301 -401,1343 591,765Discounted payback period of project B = 2 + $401,134 / $591,765= 2.68 yearsProject A should be chosen.b. IRR of project A:-$600,000 + $270,000 / (1 + r) + $350,000 / (1 + r)2 + $300,000 / (1 + r)3 = 0IRR = r = 24.30%IRR of project B:-$1,800,000 + $1,000,000 /(1 + r) + $700,000 / (1 + r)2 + $900,000 / (1 + r)3= 0IRR = r = 21.46%Based on the IRR rule, project A should be chosen since it has a greater IRR.c. Incremental IRR:Year 0 1 2 3B - A -$1,200,000 $730,000 $350,000 $600,000-$1,200,000 + $730,000 / (1 + r) + $350,000 / (1 + r)2 + $600,000 / (1 + r)3 = 0Incremental IRR = r = 19.92%Since the incremental IRR is greater than the required rate of return, 15%, chooseproject B.d. NPV A = -$600,000 + $270,000 / 1.15 + $350,000 / 1.152 + $300,000 / 1.153= $96,687.76NPV B = -$1,800,000 + $1,000,000 / 1.15 + $700,000 / 1.152 + $900,000 / 1.153 = $190,630.39Since NPV B > NPV A, choose project B.Yes, the NPV rule is consistent with the incremental IRR rule.6.20 The Utah Mining Corporation is set to open a gold mine near Provo, Utah. According to the treasurer, Steven Sample, “This is a golden opportunity.” The mine will cost $600,000 to open. It will generate a cash inflow of $100,000 during the first year and the cash flows are projected to grow at 8 percent per year for 10 years. After 10 years the mine will be abandoned. Abandonment costs will be $50,000.a. What is the IRR for the gold mine?b. The Utah Mining Corporation requires a 10 percent return on such undertakings.Should the mine be opened?6.20 a. The IRR is the discount rate at which the NPV = 0-$600,000 + ()0r 1000,50$r 1%811%)8r (000,100$1111=+-⎥⎥⎦⎤⎢⎢⎣⎡⎪⎭⎫ ⎝⎛++--IRR ≈18.56% b. Yes, the mine should be opened since its IRR exceeds its required return of 10%.。
公司理财》课后习题答案
《公司理财》考试范围：第3~7章，第13章，第16~19章，其中第16章和18章为较重点章节。
书上例题比较重要，大家记得多多动手练练。
PS：书中课后例题不出，大家可以当习题练练~考试题型：1.单选题10分 2.判断题10分 3.证明题10分 4.计算分析题60分 5.论述题10分注：第13章没有答案第一章1.在所有权形式的公司中,股东是公司的所有者。
股东选举公司的董事会,董事会任命该公司的管理层。
企业的所有权和控制权分离的组织形式是导致的代理关系存在的主要原因。
管理者可能追求自身或别人的利益最大化,而不是股东的利益最大化。
在这种环境下,他们可能因为目标不一致而存在代理问题。
2.非营利公司经常追求社会或政治任务等各种目标。
非营利公司财务管理的目标是获取并有效使用资金以最大限度地实现组织的社会使命。
3.这句话是不正确的。
管理者实施财务管理的目标就是最大化现有股票的每股价值，当前的股票价值反映了短期和长期的风险、时间以及未来现金流量。
4.有两种结论。
一种极端,在市场经济中所有的东西都被定价。
因此所有目标都有一个最优水平，包括避免不道德或非法的行为，股票价值最大化。
另一种极端,我们可以认为这是非经济现象,最好的处理方式是通过政治手段。
一个经典的思考问题给出了这种争论的答案:公司估计提高某种产品安全性的成本是30美元万。
然而,该公司认为提高产品的安全性只会节省20美元万。
请问公司应该怎么做呢”5.财务管理的目标都是相同的,但实现目标的最好方式可能是不同的,因为不同的国家有不同的社会、政治环境和经济制度。
6.管理层的目标是最大化股东现有股票的每股价值。
如果管理层认为能提高公司利润，使股价超过35美元,那么他们应该展开对恶意收购的斗争。
如果管理层认为该投标人或其它未知的投标人将支付超过每股35美元的价格收购公司,那么他们也应该展开斗争。
然而,如果管理层不能增加企业的价值,并且没有其他更高的投标价格,那么管理层不是在为股东的最大化权益行事。
《公司理财》习题及标准答案
《公司理财》习题及答案————————————————————————————————作者：————————————————————————————————日期：《公司理财》习题答案第一章公司理财概论案例：华旗股份公司基本财务状况华旗股份有限公司，其前身是华旗饮料厂，创办于20世纪80年代，当时是当地最大的饮料企业，生产的“华旗汽水”是当地的名牌产品，市场占有率较高。
2003年改组为华旗股份有限公司，总股本2 500万股。
公司章程中规定，公司净利润按以下顺序分配：（1）弥补上一年度亏损；（2）提取10%的法定公积金；（3）提取15%任意公积金；（4）支付股东股利。
公司实行同股同权的分配政策。
公司董事会在每年会计年度结束后提出分配预案，报股东大会批准实施。
除股东大会另有决议外，股利每年派发一次，在每个会计年度结束后六个月内，按股东持股比例进行分配。
当董事会认为必要时，在提请股东大会讨论通过后，可增派年度中期股利。
随着市场经济的不断深化，我国饮品市场发展越来越迅猛，全球市场一体化趋势在饮品市场尤为突出，一些国内外知名饮品，如可口可乐、百事可乐、汇源等，不断涌入本地市场，饮品行业竞争日益激烈。
华旗公司的市场占有率不断降低，经营业绩也随之不断下降，公司管理层对此忧心忡忡，认为应该对华旗公司各个方面进行重新定位，其中包括股利政策。
华旗公司于2015年1月15日召开董事会会议，要求公司的总会计师对公司目前财务状况做出分析，同时提出新的财务政策方案，以供董事会讨论。
总会计师为此召集有关人员进行了深入细致的调查，获得了以下有关资料：（一）我国饮品行业状况近几年我国饮品行业发展迅速，在国民经济各行业中走在了前列，目前市场竞争非常激烈，但市场并没有饱和。
从资料看，欧洲每年人均各类饮品消费量为200公斤，我国每年人均消费各种饮料还不到10公斤。
可见，我国饮品仍有着巨大的市场潜力。
果味饮料、碳酸饮料市场日趋畏缩，绿色无污染保健饮品、纯果汁饮品、植物蛋白饮品，以及茶饮品，正在成为饮品家族的新生力量，在市场上崭露头角，市场潜力巨大。
公司理财课后答案翻译
保温施工合同保温施工合同范本（通用9篇）随着法治精神地不断发扬，人们愈发重视合同，能够利用到合同的场合越来越多，它也是减少和防止发生争议的重要措施。
那么一份详细的合同要怎么写呢？以下是小编精心整理的保温施工合同范本（通用9篇），欢迎阅读，希望大家能够喜欢。
保温施工合同1甲方(发包方)：乙方(承包方)：甘肃XX园保温材料工程有限公司根据《中华人民共和国合同法》和《中华人民共和国建筑法》及其有关其它法律、法规的规定，结合保温节能工程施工的特点，双方本着平等、自愿、公平和诚实信用的原则，在协商一致的基础上，为明确双方的权利、义务，达成如下协议。
第一条工程概况1、工程名称：2、工程地点：3、承包方式：本工程采用包报建、包税金、包施工、包工包料、包安全、包文明施工及验收通过。
乙方按甲方确认的施工图及材料明细表，保质保量地承包本工程。
第二条工程范围及采用的产品品种、技术规格甲方提供施工图纸范围内及甲方现场指定的外墙外保温工程。
外墙保温板为，规格为，涂料为乳胶漆，乳胶漆颜色以业主方确认的色卡颜色为准，腻子采用外墙柔性腻子(所有设备自带、如吊篮等)，商铺为A级防火材料(水泥发泡板)、防火隔离带为A级防火材料(水泥发泡板)，质量等级：合格。
第三条工期1、本工程自年月日开始，于年月日止，有效工期天，以甲方或监理工程开工通知日期为准;工程开工3天前乙方应根据双方约定的工期等提出确实可行的总工期控制计划报总甲方审批,并按计划严格实施。
2、如遇下列情况，乙方须在发生签证事由2日内书面通知甲方，并经双方代表签证，工期相应顺延，否则视为乙方放弃签证的权利，工期不予顺延：(1)因甲方未按时交出场地、提供现场施工用水、用电接驳点，甲方变更设计而影响到工程项目进度的;(2)不可抗力因素。
第四条施工工艺、材料清单1、外保温施工工艺基面检查或处理→工具准备→阴阳角、门窗旁挂线→基层墙体湿润→用2～3㎝厚水泥砂浆找平→配制聚合物粘结砂浆，挑选挤塑聚苯板→粘贴挤塑聚苯板→挤塑聚苯板塞缝，打磨、找平墙面→锚栓固定安装→配制聚合物抺面砂浆→挤塑板面抺聚合物砂浆，门窗洞口处理→粘贴玻纤网，面层抺聚合物砂浆→外饰面，外墙瓷砖处挂钢丝网片，面层抺聚合物砂浆。
公司理财(MBA全景教程之六)答案-推荐下载
B 优先股资本成本
C 普通股资本成本
D 留存收益资本成本
对全部高中资料试卷电气设备，在安装过程中以及安装结束后进行高中资料试卷调整试验；通电检查所有设备高中资料电试力卷保相护互装作置用调与试相技互术通关，1系电过，力管根保线据护敷生高设产中技工资术艺料0不高试仅中卷可资配以料置解试技决卷术吊要是顶求指层，机配对组置电在不气进规设行范备继高进电中行保资空护料载高试与中卷带资问负料题荷试2下卷2，高总而中体且资配可料置保试时障卷，各调需类控要管试在路验最习；大题对限到设度位备内。进来在行确管调保路整机敷使组设其高过在中程正资1常料中工试，况卷要下安加与全强过，看度并22工且22作尽22下可22都能22可地护以缩1关正小于常故管工障路作高高；中中对资资于料料继试试电卷卷保破连护坏接进范管行围口整，处核或理对者高定对中值某资，些料审异试核常卷与高弯校中扁对资度图料固纸试定，卷盒编工位写况置复进.杂行保设自护备动层与处防装理腐置，跨高尤接中其地资要线料避弯试免曲卷错半调误径试高标方中高案资等，料，编试要5写、卷求重电保技要气护术设设装交备备置底4高调、动。中试电作管资高气，线料中课并敷3试资件且、设卷料中拒管技试试调绝路术验卷试动敷中方技作设包案术，技含以来术线及避槽系免、统不管启必架动要等方高多案中项；资方对料式整试，套卷为启突解动然决过停高程机中中。语高因文中此电资，气料电课试力件卷高中电中管气资壁设料薄备试、进卷接行保口调护不试装严工置等作调问并试题且技，进术合行，理过要利关求用运电管行力线高保敷中护设资装技料置术试做。卷到线技准缆术确敷指灵设导活原。。则对对：于于在调差分试动线过保盒程护处中装，高置当中高不资中同料资电试料压卷试回技卷路术调交问试叉题技时，术，作是应为指采调发用试电金人机属员一隔，变板需压进要器行在组隔事在开前发处掌生理握内；图部同纸故一资障线料时槽、，内设需，备要强制进电造行回厂外路家部须出电同具源时高高切中中断资资习料料题试试电卷卷源试切，验除线报从缆告而敷与采设相用完关高毕技中，术资要资料进料试行，卷检并主查且要和了保检解护测现装处场置理设。备高中资料试卷布置情况与有关高中资料试卷电气系统接线等情况，然后根据规范与规程规定，制定设备调试高中资料试卷方案。
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24、 a. b.
五年后需要 $25,000 ，那么折到现在应为$17,824.65 [= $25,000 / 1.075]. 然后再计算年金，如下：
$17,824.65
=C
Α5 0.07
$17,824.65 = C (4.1002)
C = $4,347.26
首先计算现值， $25,000 折到现在应为$17,824.65 [= $25,000 / 1.075]
第 4 章：净现值（P73~74）
2
12、 a. b. c. d.
$1,000 × 1.0510 = $1,628.89
$1,000 × 1.0710 = $1,967.15 $1,000 × 1.0520 = $2,653.30 复利计息是用所得的利息进行再投资，所以 c 的结果远远大于 a 的两倍。
r = 0.18921 = 18.921%
27、
首先计算一下四年学费折到入学前的价值：$21,000
Α4 0.15
=
$21,000
(2.8550)
=
$59,955.
在入学前，小的距现在有 16 年，大的距现在有 14 年，所以分别把他们入学前的学
费折到现在，即：
PV= $59,955 / 1.1514 + $59,955 / 1.1516
所以，$20,000 可以解决该问题。
25、 选择一：每年税后支付为$160,000 (1 - 0.28) = $115,200. 利用年金公式可得：
PV=
$115,200
+ $115,200
Α
30 0.10
=
$115,200
+ $115,200
(9.4269)
= $1,201,178.88 选择二： 每年的税后支付为$72,759.60 [= $101,055 (1 - 0.28)].同样，利用年金公式可
得：
PV= $446,000 + $72,759.60
Α
30 0.10
=
$446,000
+ $72,759.60 (9.4269)
= $1,131,897.47
方法一有更高的 PV, 所以选择第一种方法。
26、 设 r 为利率，则：$10,000(1 + r)12= $80,000 (1 + r)12 = 8
= $26.95 注：刚刚支付的股利不计入股票现值。
13、 一年后的股利为： $5 (1 - 0.10) = $4.50 利用股利增长模型得：P= $5 + $4.50 / {0.14 - (-0.10)} = $23.75 注：和上一题不同，由于 5 美元的股利将要支付，所以，股票价格中要包含这 5 美
e.
终值会增加是由于复利的缘故，当一个计息周期结束时，复利的利息会计
入下期本金，所以当计息周期缩短时，所谓的“利息的利息”会增加，因此，终值
会变大。
19、 用永续年金公式即可得：PV = $120 / 0.15 = $800
20、 a.
$1,000 / 0.1 = $10,000
b.
第一年末的价值为：$500 / 0.1 = $5,000 ，折现到零时点即为：$5,000 / 1.1 =
$ 4,000 8,000
$ 12,000
$ 34,000 82,000
$116,000 $128,000
负债与所有者权益 流动负债
应付账款 应交税金 流动资产合计 长期负债 应付债券 股东权益 普通股（面值为$100） 股本溢价 累计留存收益 股东权益合计 负债与股东权益总计
$ 6,000 2,000
元。
5
第 6 章：投资决策的其他方法（P121~122）
10、 a. b.
项目 A 的回收期为 ：1 + ($7,500 - $4,000) / $3,500 = 2 年
项目 B 的回收期为： 2 + ($5,000 - $2,500 -$1,200) / $3,000 = 2.43 年
所以，应该选择项目 A。 NPVA = -$7,500 + $4,000 / 1.15 + $3,500 / 1.152 + $1,500 / 1.153 = -$388.96 NPVB = -$5,000 + $2,500 / 1.15 + $1,200 / 1.152 + $3,000 / 1.153 = $53.83 应该选择项目 B。
0.5132 0.4665
总计
743.76 2,619.80
641.50 641.44 $5,282.87
第 5 章：债券和股票的定价（P95~96）
9、 半年息票支付额为 $40 (=$1,000 × 0.08 / 2)，期限 20 年就计息 40 次。 a. $40 (19.7928) + $1,000 / 1.0440 = $1,000 票面利率和市场利率相等，债券平价发行。 b. $40 (17.1591) + $1,000 / 1.0540 = $828.41
= $14,880.44
由年金公式可得每年要交的存款（C）：
C= $14,880.44
/
Α 15 0.15Leabharlann =$14,880.44
/ 5.8474
=
$2,544.80
28、 本题考查增长年金公式。首先一年后的支付额为：$50,000(1.04)2(0.02) = $1,081.60.
所以，利用公式可得：PV= $1,081.60 [1 / (0.08 - 0.04) - {1 / (0.08 - 0.04)}{1.04 / 1.08}40] = $21,064.28 这是现值，然后计算 40 年后的终值，即得： $21,064.28 (1.0840) = $457,611.46
11、 a. 平均投资额：($16,000 + $12,000 + $8,000 + $4,000 + 0) / 5 = $8,000 平均净收益：$4,500-$4,000=$500 平均会计收益率为：$500 / $8,000 = 0.0625 = 6.25%
票面利率低于市场利率，债券折价发行。 c. $40 (23.1148) + $1,000 / 1.0340 = $1,231.15
票面利率高于市场利率，债券溢价发行。
10、 a. 半年期利率为 $60 / $1,000 = 0.06. 所以实际年利率为 1.062 - 1 = 0.1236 =
12.36%.
= $201.88
3
由于 NPV 大于 0，所以，应该购买该项资产。
22、
第二年末的价值为：$2,000
Α
20 0.08
=
$2,000
(9.8181)=
$19,636.20
再从第二年末折现到零时点：PV = $19,636.20 / 1.082 = $16,834.88
23、 NPV=-$12,800+$2,000 A10r=0 通过试错法，可以得出 r = 9.0648%
$10,000 / (1 + r) = $20,000 / (1 + r)5
(1 + r)4 = $20,000 / $10,000 = 2
1 + r = 1.18921
r = 0.18921 = 18.921%
16、 $1,000 (1.12)6 + $1,000 (1.12)5 + $1,000 (1.12)4 + $1,000 (1.12)3= $6,714.61
$ 8,000
$7,000
$ 88,000 19,000 6,000
$113,000 $128,000
11、
长期债务 优先股 普通股 留存收益 总计
一年前 $50,000,000 30,000,000 100,000,000 20,000,000 $200,000,000
现在 $50,000,000
$(5,000)
13、 a. 净营运资本变动额计算如下：
净营运资本来源 净利润 折旧 长期负债增加 总计
$100 50 75
$225
净营运资本使用 股利 固定资产增加* 总计
净营运资本变动额 *包括 $50 的折旧
$50 150 $200 $25
b. 企业所产生的现金流量 经营性现金流量 投资性现金流量（固定资产取 得） 净营运资本变动 总计 流向投资者的现金流量 负债 权益 总计
你拥有的股票数为 ：$100,000 / $36.31 = 2,754（股）
12、
P = $1.15 (1.18) / 1.12 + $1.15 (1.182) / 1.122 + $1.152 (1.182) / 1.123 + {$1.152 (1.182) (1.06) / (0.12 - 0.06)} / 1.123
b.
P= $30
Α 12 0.06
+ $1,000 / 1.0612
= $748.48
c.
P= $30
Α 12 0.04
+ $1,000 / 1.0412
= $906.15
注：在 b 和 c 两题，我们假定收益曲线是平坦的. 也就是说 5 年期的收益率同样适用
于 6 年期收益率。
11、 P = $2 (0.72) / 1.15 + $4 (0.72) / 1.152 + $50 / 1.153 = $36.31
29、 在第 3 年到第 6 年可以用年金公式折现。
年份
现金流
折现因子