罗斯公司理财第9版精要版英文原书课后部分章节答案

合集下载

罗斯公司理财第九版第四章课后答案

23题：This question is asking for the present value of an annuity, but the interest rate changes during the life of the annuity. We need to find the present value of the cash flows for the last eight years first. The PV of these cash flows is:PVA2 = $1,500 [{1 – 1 / [1 + (.09/12)]⌒96} / (.09/12)] = $102,387.66Note that this is the PV of this annuity exactly seven years from today. Now, we can discount this lump sum to today. The value of this cash flow today is:PV = $102,387.66 / [1 + (.13/12)]⌒84 = $41,415.70Now, we need to find the PV of the annuity for the first seven years. The value of these cash flows today is:PVA1 = $1,500 [{1 – 1 / [1 + (.13/12)]⌒84} / (.13/12)] = $82,453.99The value of the cash flows today is the sum of these two cash flows, so:PV = $82,453.99 + 41,415.70 = $123,869.9924题The monthly interest rate is the annual interest rate divided by 12, or:Monthly interest rate = .104 / 12 Monthly interest rate = .00867Now we can set the present value of the lease payments equal to the cost of the equipment, or $3,500. The lease payments are in the form of an annuity due, so:PV Adue = (1 + r) C({1 – [1/(1 + r)]⌒t } / r )$3,500 = (1 + .00867) C({1 – [1/(1 + .00867)]⌒24 } / .00867 ) C = $160.7625题Here, we need to compare to options. In order to do so, we must get the value of the two cash flow streams to the same time, so we will find the value of each today. We must also make sure to use the aftertax cash flows, since it is more relevant. For Option A, the aftertax cash flows are:Aftertax cash flows = Pretax cash flows(1 – tax rate)Aftertax cash flows = $175,000(1 – .28)Aftertax cash flows = $126,000The aftertax cash flows from Option A are in the form of an annuity due, so the present value of the cash flow today is:PV Adue = (1 + r) C({1 – [1/(1 + r)]⌒t } / r )PV Adue = (1 + .10)$126,000({1 – [1/(1 + .10)]⌒31 } / .10 )PV Adue = $1,313,791.22For Option B, the aftertax cash flows are:Aftertax cash flows = Pretax cash flows(1 – tax rate)Aftertax cash flows = $125,000(1 – .28)Aftertax cash flows = $90,000The aftertax cash flows from Option B are an ordinary annuity, plus the cash flow today, so the present value:PV = C({1 – [1/(1 + r)]⌒t } / r ) + CF0PV = $90,000{1 – [1/(1 + .10)]⌒30 } / .10 ) + $530,000PV = $1,378,422.3026题The cash flows for this problem occur monthly, and the interest rate given is the EAR. Since the cash flows occur monthly, we must get the effective monthly rate. One way to do this is to find the APR based on monthly compounding, and then divide by 12. So, the pre-retirement APR is: EAR = .11 = [1 + (APR / 12)]⌒12– 1; APR = 12[(1.11)1/12 – 1] = 10.48%And the post-retirement APR is:EAR = .08 = [1 + (APR / 12)]⌒12 – 1; APR = 12[(1.08)1/12 – 1] = 7.72%First, we will calculate how much he needs at retirement. The amount needed at retirement is the PV of the monthly spending plus the PV of the inheritance. The PV of these two cash flows is:PV A = $20,000{1 – [1 / (1 + .0772/12)⌒12*20]} / (.0772/12) = $2,441,554.61PV = $1,000,000 / (1 + .08)20 = $214,548.21So, at retirement, he needs: $2,441,554.61 + 214,548.21 = $2,656.102.81He will be saving $1,900 per month for the next 10 years until he purchases the cabin. The value of his savings after 10 years will be:FV A = $1,900[{[ 1 + (.1048/12)]⌒12*10– 1} / (.1048/12)] = $400,121.62After he purchases the cabin, the amount he will have left is: $400,121.62 – 320,000 = $80,121.62 He still has 20 years until retirement. When he is ready to retire, this amount will have grown to: FV = $80,121.62[1 + (.1048/12)]⌒12*20 = $646,965.50So, when he is ready to retire, based on his current savings, he will be short:$2,656,102.81 – 645,965.50 = $2,010,137.31This amount is the FV of the monthly savings he must make between years 10 and 30. So, finding the annuity payment using the FVA equation, we find his monthly savings will need to be: FVA = $2,010,137.31 = C[{[ 1 + (.1048/12)]⌒12*20 – 1} / (.1048/12)]C = $2,486.1227题To answer this question, we should find the PV of both options, and compare them. Since we are purchasing the car, the lowest PV is the best option. The PV of the leasing is simply the PV of the lease payments, plus the $1. The interest rate we would use for the leasing option is the same as the interest rate of the loan. The PV of leasing is:PV = $1 + $520{1 – [1 / (1 + .08/12)⌒12*3]} / (.08/12) = $16,595.14The PV of purchasing the car is the current price of the car minus the PV of the resale price. The PV of the resale price is:PV = $26,000 / [1 + (.08/12)]⌒12*3 = $20,468.62The PV of the decision to purchase is:$38,000 – 20,468.62 = $17,531.38In this case, it is cheaper to lease the car than buy it since the PV of the leasing cash flows is lower. To find the breakeven resale price, we need to find the resale price that makes the PV of the tw o options the same. In other words, the PV of the decision to buy should be:$38,000 – PV of resale price = $16,595.14PV of resale price = $21,404.86The resale price that would make the PV of the lease versus buy decision is the FV of this value, so:Breakeven resale price = $21,404.86[1 + (.08/12)]⌒12*3 = $27,189.2528题First, we will find the APR and EAR for the loan with the refundable fee. Remember, we need to use the actual cash flows of the loan to find the interest rate. With the $2,100 application fee, you will need to borrow $202,100 to have $200,000 after deducting the fee. Solving for the payment under these circumstances, we get:PV A = $202,100 = C {[1 – 1/(1.00567)⌒360]/.00567} where .00567 = .068/12 C = $1,317.54 We can now use this amount in the PV A equation with the original amount we wished to borrow, $200,000. Solving for r, we find:PV A = $200,000 = $1,317.54[{1 – [1 / (1 + r)]⌒360}/ r]Solving for r with a spreadsheet, on a financial calculator, or by trial and error, gives:r = 0.5752% per monthAPR = 12(0.5752%) = 6.90% EAR = (1 + .005752)⌒12– 1 = .0713 or 7.13%With the nonrefundable fee, the APR of the loan is simply the quoted APR since the fee is not considered part of the loan. So:APR = 6.80% EAR = [1 + (0.068/12)]⌒12– 1 = .0702 or 7.02%29题Here, we need to find the interest rate that makes us indifferent between an annuity and a perpetuity. To solve this problem, we need to find the PV of the two options and set them equal to each other. The PV of the perpetuity is:PV = $20,000 / rAnd the PV of the annuity is:PVA = $35,000[{1 – [1 / (1 + r)]⌒10 } / r ]Setting them equal and solving for r, we get:$20,000 / r = $35,000[{1 – [1 / (1 + r)]⌒10 } / r ]$20,000 / $35,000 = 1 – [1 / (1 + r)]⌒10 .057141/10 = 1 / (1 + r)r = 1 / .5714⌒1/10 – 1 r = .0576 or 5.76%30题。

Cha04 罗斯公司理财第九版原版书课后习题

The present value of the four new outlets is only $954,316.78. The outlets are worth less than they cost. The Trojan Pizza Company should not make the investment because the NPV is –$45,683.22. If the Trojan Pizza Company requires a 15 percent rate of return, the new outlets are not a good investment.SPREADSHEET APPLICATIONSHow to Calculate Present Values with Multiple Future Cash Flows Using a SpreadsheetWe can set up a basic spreadsheet to calculate the present values of the individual cash flows as follows. Notice that we have simply calculated the present values one at a time and added them up:Summary and Conclusions1. Two basic concepts, future value and present value, were introduced in the beginning of thischapter. With a 10 percent interest rate, an investor with $1 today can generate a future value of $1.10 in a year, $1.21 [=$1 × (1.10)2] in two years, and so on. Conversely, present value analysis places a current value on a future cash flow. With the same 10 percent interest rate, a dollar to be received in one year has a present value of $.909 (=$1/1.10) in year 0. A dollar to be received in two years has a present value of $.826 [=$1/(1.10)2].2. We commonly express an interest rate as, say, 12 percent per year. However, we can speak ofthe interest rate as 3 percent per quarter. Although the stated annual interest rate remains 12 percent (=3 percent × 4), the effective annual interest rate is 12.55 percent [=(1.03)4 – 1]. In other words, the compounding process increases the future value of an investment. The limiting case is continuous compounding, where funds are assumed to be reinvested every infinitesimal instant.3. A basic quantitative technique for financial decision making is net present value analysis. Thenet present value formula for an investment that generates cash flows (C i) in future periods is:The formula assumes that the cash flow at date 0 is the initial investment (a cash outflow).4. Frequently, the actual calculation of present value is long and tedious. The computation of thepresent value of a long-term mortgage with monthly payments is a good example of this. We presented four simplifying formulas:5. We stressed a few practical considerations in the application of these formulas:1. The numerator in each of the formulas, C, is the cash flow to be received one full periodhence.2. Cash flows are generally irregular in practice. To avoid unwieldy problems, assumptions tocreate more regular cash flows are made both in this textbook and in the real world.3. A number of present value problems involve annuities (or perpetuities) beginning a fewperiods hence. Students should practice combining the annuity (or perpetuity) formula withthe discounting formula to solve these problems.4. Annuities and perpetuities may have periods of every two or every n years, rather thanonce a year. The annuity and perpetuity formulas can easily handle such circumstances.5. We frequently encounter problems where the present value of one annuity must beequated with the present value of another annuity.Concept Questions1. Compounding and Period As you increase the length of time involved, what happens tofuture values? What happens to present values?2. Interest Rates What happens to the future value of an annuity if you increase the rate r?What happens to the present value?3. Present Value Suppose two athletes sign 10-year contracts for $80 million. In one case, we’retold that the $80 million will be paid in 10 equal installments. In the other case, we’re told that the $80 million will be paid in 10 installments, but the installments will increase by 5 percent per year.Who got the better deal?4. APR and EAR Should lending laws be changed to require lenders to report EARs instead ofAPRs? Why or why not?5. Time Value On subsidized Stafford loans, a common source of financial aid for collegestudents, interest does not begin to accrue until repayment begins. Who receives a bigger subsidy,a freshman or a senior? Explain.Use the following information to answer the next five questions:Toyota Motor Credit Corporation (TMCC), a subsidiary of Toyota Motor Corporation, offered some securities for sale to the public on March 28, 2008. Under the terms of the deal, TMCC promised to repay the owner of one of these securities $100,000 on March 28, 2038, but investors would receive nothing until then. Investors paid TMCC $24,099 for each of these securities; so they gave up $24,099 on March 28, 2008, for the promise of a $100,000 payment 30 years later.6. Time Value of Money Why would TMCC be willing to accept such a small amount today($24,099) in exchange for a promise to repay about four times that amount ($100,000) in the future?7. Call Provisions TMCC has the right to buy back the securities on the anniversary date at aprice established when the securities were issued (this feature is a term of this particular deal).What impact does this feature have on the desirability of this security as an investment?8. Time Value of Money Would you be willing to pay $24,099 today in exchange for $100,000 in30 years? What would be the key considerations in answering yes or no? Would your answerdepend on who is making the promise to repay?9. Investment Comparison Suppose that when TMCC offered the security for $24,099 the U.S.Treasury had offered an essentially identical security. Do you think it would have had a higher or lower price? Why?10. Length of Investment The TMCC security is bought and sold on the New York StockExchange. If you looked at the price today, do you think the price would exceed the $24,099 original price? Why? If you looked in the year 2019, do you think the price would be higher or lower than today’s price? Why?Questions and Problems: connect™BASIC (Questions 1–20)1. Simple Interest versus Compound Interest First City Bank pays 9 percent simple intereston its savings account balances, whereas Second City Bank pays 9 percent interest compounded annually. If you made a $5,000 deposit in each bank, how much more money would you earn from your Second City Bank account at the end of 10 years?2. Calculating Future Values Compute the future value of $1,000 compounded annually for1. 10 years at 6 percent.2. 10 years at 9 percent.3. 20 years at 6 percent.4. Why is the interest earned in part (c) not twice the amount earned in part (a)?3. Calculating Present Values For each of the following, compute the present value:4. Calculating Interest Rates Solve for the unknown interest rate in each of the following:5. Calculating the Number of Periods Solve for the unknown number of years in each of thefollowing:6. Calculating the Number of Periods At 9 percent interest, how long does it take to doubleyour money? To quadruple it?7. Calculating Present Values Imprudential, Inc., has an unfunded pension liability of $750million that must be paid in 20 years. To assess the value of the firm’s stock, financial analysts want to discount this liability back to the present. If the relevant discount rate is 8.2 percent, what is the present value of this liability?8. Calculating Rates of Return Although appealing to more refined tastes, art as a collectiblehas not always performed so profitably. During 2003, Sotheby’s sold the Edgar Degas bronze sculpture Petite Danseuse de Quartorze Ans at auction for a price of $10,311,500. Unfortunately for the previous owner, he had purchased it in 1999 at a price of $12,377,500. What was his annual rate of return on this sculpture?9. Perpetuities An investor purchasing a British consol is entitled to receive annual paymentsfrom the British government forever. What is the price of a consol that pays $120 annually if the next payment occurs one year from today? The market interest rate is 5.7 percent.10. Continuous Compounding Compute the future value of $1,900 continuously compounded for1. 5 years at a stated annual interest rate of 12 percent.2. 3 years at a stated annual interest rate of 10 percent.3. 10 years at a stated annual interest rate of 5 percent.4. 8 years at a stated annual interest rate of 7 percent.11. Present Value and Multiple Cash Flows Conoly Co. has identified an investment projectwith the following cash flows. If the discount rate is 10 percent, what is the present value of these cash flows? What is the present value at 18 percent? At 24 percent?12. Present Value and Multiple Cash Flows Investment X offers to pay you $5,500 per year fornine years, whereas Investment Y offers to pay you $8,000 per year for five years. Which of these cash flow streams has the higher present value if the discount rate is 5 percent? If the discount rate is 22 percent?13. Calculating Annuity Present Value An investment offers $4,300 per year for 15 years, withthe first payment occurring one year from now. If the required return is 9 percent, what is the value of the investment? What would the value be if the payments occurred for 40 years? For 75 years? Forever?14. Calculating Perpetuity Values The Perpetual Life Insurance Co. is trying to sell you aninvestment policy that will pay you and your heirs $20,000 per year forever. If the required return on this investment is 6.5 percent, how much will you pay for the policy? Suppose the Perpetual Life Insurance Co. told you the policy costs $340,000. At what interest rate would this be a fair deal? 15. Calculating EAR Find the EAR in each of the following cases:16. Calculating APR Find the APR, or stated rate, in each of the following cases:17. Calculating EAR First National Bank charges 10.1 percent compounded monthly on itsbusiness loans. First United Bank charges 10.4 percent compounded semiannually. As a potential borrower, to which bank would you go for a new loan?18. Interest Rates Well-known financial writer Andrew Tobias argues that he can earn 177percent per year buying wine by the case. Specifically, he assumes that he will consume one $10 bottle of fine Bordeaux per week for the next 12 weeks. He can either pay $10 per week or buy a case of 12 bottles today. If he buys the case, he receives a 10 percent discount and, by doing so, earns the 177 percent. Assume he buys the wine and consumes the first bottle today. Do you agree with his analysis? Do you see a problem with his numbers?19. Calculating Number of Periods One of your customers is delinquent on his accounts payablebalance. You’ve mutually agreed to a repayment schedule of $600 per month. You will charge .9 percent per month interest on the overdue balance. If the current balance is $18,400, how long will it take for the account to be paid off?20. Calculating EAR Friendly’s Quick Loans, Inc., offers you “three for four or I knock on yourdoor.” This means you get $3 today and repay $4 when you get your paycheck in one week (orelse). What’s the effective annual return Friendly’s earns on this lending business? If you were brave enough to ask, what APR would Friendly’s say you were paying?INTERMEDIATE (Questions 21–50)21. Future Value What is the future value in seven years of $1,000 invested in an account with astated annual interest rate of 8 percent,1. Compounded annually?2. Compounded semiannually?3. Compounded monthly?4. Compounded continuously?5. Why does the future value increase as the compounding period shortens?22. Simple Interest versus Compound Interest First Simple Bank pays 6 percent simpleinterest on its investment accounts. If First Complex Bank pays interest on its accounts compounded annually, what rate should the bank set if it wants to match First Simple Bank over an investment horizon of 10 years?23. Calculating Annuities You are planning to save for retirement over the next 30 years. To dothis, you will invest $700 a month in a stock account and $300 a month in a bond account. The return of the stock account is expected to be 10 percent, and the bond account will pay 6 percent.When you retire, you will combine your money into an account with an 8 percent return. How much can you withdraw each month from your account assuming a 25-year withdrawal period?24. Calculating Rates of Return Suppose an investment offers to quadruple your money in 12months (don’t believe it). What rate of return per quarter are you being offered?25. Calculating Rates of Return You’re trying to choose between two different investments, bothof which have up-front costs of $75,000. Investment G returns $135,000 in six years. Investment H returns $195,000 in 10 years. Which of these investments has the higher return?26. Growing Perpetuities Mark Weinstein has been working on an advanced technology in lasereye surgery. His technology will be available in the near term. He anticipates his first annual cash flow from the technology to be $215,000, received two years from today. Subsequent annual cash flows will grow at 4 percent in perpetuity. What is the present value of the technology if the discount rate is 10 percent?27. Perpetuities A prestigious investment bank designed a new security that pays a quarterlydividend of $5 in perpetuity. The first dividend occurs one quarter from today. What is the price of the security if the stated annual interest rate is 7 percent, compounded quarterly?28. Annuity Present Values What is the present value of an annuity of $5,000 per year, with thefirst cash flow received three years from today and the last one received 25 years from today? Usea discount rate of 8 percent.29. Annuity Present Values What is the value today of a 15-year annuity that pays $750 a year?The annuity’s first payment occurs six years from today. The annual interest rate is 12 percent for years 1 through 5, and 15 percent thereafter.30. Balloon Payments Audrey Sanborn has just arranged to purchase a $450,000 vacation homein the Bahamas with a 20 percent down payment. The mortgage has a 7.5 percent stated annualinterest rate, compounded monthly, and calls for equal monthly payments over the next 30 years.Her first payment will be due one month from now. However, the mortgage has an eight-year balloon payment, meaning that the balance of the loan must be paid off at the end of year 8. There were no other transaction costs or finance charges. How much will Audrey’s balloon payment be in eight years?31. Calculating Interest Expense You receive a credit card application from Shady BanksSavings and Loan offering an introductory rate of 2.40 percent per year, compounded monthly for the first six months, increasing thereafter to 18 percent compounded monthly. Assuming you transfer the $6,000 balance from your existing credit card and make no subsequent payments, how much interest will you owe at the end of the first year?32. Perpetuities Barrett Pharmaceuticals is considering a drug project that costs $150,000 todayand is expected to generate end-of-year annual cash flows of $13,000, forever. At what discount rate would Barrett be indifferent between accepting or rejecting the project?33. Growing Annuity Southern California Publishing Company is trying to decide whether to reviseits popular textbook, Financial Psychoanalysis Made Simple. The company has estimated that the revision will cost $65,000. Cash flows from increased sales will be $18,000 the first year. These cash flows will increase by 4 percent per year. The book will go out of print five years from now.Assume that the initial cost is paid now and revenues are received at the end of each year. If the company requires an 11 percent return for such an investment, should it undertake the revision? 34. Growing Annuity Your job pays you only once a year for all the work you did over theprevious 12 months. Today, December 31, you just received your salary of $60,000, and you plan to spend all of it. However, you want to start saving for retirement beginning next year. You have decided that one year from today you will begin depositing 5 percent of your annual salary in an account that will earn 9 percent per year. Your salary will increase at 4 percent per year throughout your career. How much money will you have on the date of your retirement 40 years from today?35. Present Value and Interest Rates What is the relationship between the value of an annuityand the level of interest rates? Suppose you just bought a 12-year annuity of $7,500 per year at the current interest rate of 10 percent per year. What happens to the value of your investment if interest rates suddenly drop to 5 percent? What if interest rates suddenly rise to 15 percent?36. Calculating the Number of Payments You’re prepared to make monthly payments of $250,beginning at the end of this month, into an account that pays 10 percent interest compounded monthly. How many payments will you have made when your account balance reaches $30,000? 37. Calculating Annuity Present Values You want to borrow $80,000 from your local bank tobuy a new sailboat. You can afford to make monthly payments of $1,650, but no more. Assuming monthly compounding, what is the highest APR you can afford on a 60-month loan?38. Calculating Loan Payments You need a 30-year, fixed-rate mortgage to buy a new home for$250,000. Your mortgage bank will lend you the money at a 6.8 percent APR for this 360-month loan. However, you can only afford monthly payments of $1,200, so you offer to pay off any remaining loan balance at the end of the loan in the form of a single balloon payment. How large will this balloon payment have to be for you to keep your monthly payments at $1,200?39. Present and Future Values The present value of the following cash flow stream is $6,453when discounted at 10 percent annually. What is the value of the missing cash flow?40. Calculating Present Values You just won the TVM Lottery. You will receive $1 million todayplus another 10 annual payments that increase by $350,000 per year. Thus, in one year you receive $1.35 million. In two years, you get $1.7 million, and so on. If the appropriate interest rate is 9 percent, what is the present value of your winnings?41. EAR versus APR You have just purchased a new warehouse. To finance the purchase, you’vearranged for a 30-year mortgage for 80 percent of the $2,600,000 purchase price. The monthly payment on this loan will be $14,000. What is the APR on this loan? The EAR?42. Present Value and Break-Even Interest Consider a firm with a contract to sell an asset for$135,000 three years from now. The asset costs $96,000 to produce today. Given a relevant discount rate on this asset of 13 percent per year, will the firm make a profit on this asset? At what rate does the firm just break even?43. Present Value and Multiple Cash Flows What is the present value of $4,000 per year, at adiscount rate of 7 percent, if the first payment is received 9 years from now and the last payment is received 25 years from now?44. Variable Interest Rates A 15-year annuity pays $1,500 per month, and payments are madeat the end of each month. If the interest rate is 13 percent compounded monthly for the first seven years, and 9 percent compounded monthly thereafter, what is the present value of the annuity? 45. Comparing Cash Flow Streams You have your choice of two investment accounts.Investment A is a 15-year annuity that features end-of-month $1,200 payments and has an interest rate of 9.8 percent compounded monthly. Investment B is a 9 percent continuously compounded lump-sum investment, also good for 15 years. How much money would you need to invest in B today for it to be worth as much as Investment A 15 years from now?46. Calculating Present Value of a Perpetuity Given an interest rate of 7.3 percent per year,what is the value at date t = 7 of a perpetual stream of $2,100 annual payments that begins at date t = 15?47. Calculating EAR A local finance company quotes a 15 percent interest rate on one-year loans.So, if you borrow $26,000, the interest for the year will be $3,900. Because you must repay a total of $29,900 in one year, the finance company requires you to pay $29,900/12, or $2,491.67, per month over the next 12 months. Is this a 15 percent loan? What rate would legally have to be quoted? What is the effective annual rate?48. Calculating Present Values A 5-year annuity of ten $4,500 semiannual payments will begin 9years from now, with the first payment coming 9.5 years from now. If the discount rate is 12 percent compounded monthly, what is the value of this annuity five years from now? What is the value three years from now? What is the current value of the annuity?49. Calculating Annuities Due Suppose you are going to receive $10,000 per year for five years.The appropriate interest rate is 11 percent.1. What is the present value of the payments if they are in the form of an ordinary annuity?What is the present value if the payments are an annuity due?2. Suppose you plan to invest the payments for five years. What is the future value if thepayments are an ordinary annuity? What if the payments are an annuity due?3. Which has the highest present value, the ordinary annuity or annuity due? Which has thehighest future value? Will this always be true?50. Calculating Annuities Due You want to buy a new sports car from Muscle Motors for$65,000. The contract is in the form of a 48-month annuity due at a 6.45 percent APR. What will your monthly payment be?CHALLENGE (Questions 51–76)51. Calculating Annuities Due You want to lease a set of golf clubs from Pings Ltd. The leasecontract is in the form of 24 equal monthly payments at a 10.4 percent stated annual interest rate, compounded monthly. Because the clubs cost $3,500 retail, Pings wants the PV of the lease payments to equal $3,500. Suppose that your first payment is due immediately. What will your monthly lease payments be?52. Annuities You are saving for the college education of your two children. They are two yearsapart in age; one will begin college 15 years from today and the other will begin 17 years from today. You estimate your children’s college expenses to be $35,000 per year per child, payable at the beginning of each school year. The annual interest rate is 8.5 percent. How much money must you deposit in an account each year to fund your children’s education? Your deposits begin one year from today. You will make your last deposit when your oldest child enters college. Assume four years of college.53. Growing Annuities Tom Adams has received a job offer from a large investment bank as aclerk to an associate banker. His base salary will be $45,000. He will receive his first annual salary payment one year from the day he begins to work. In addition, he will get an immediate $10,000 bonus for joining the company. His salary will grow at 3.5 percent each year. Each year he will receive a bonus equal to 10 percent of his salary. Mr. Adams is expected to work for 25 years.What is the present value of the offer if the discount rate is 12 percent?54. Calculating Annuities You have recently won the super jackpot in the Washington StateLottery. On reading the fine print, you discover that you have the following two options:1. You will receive 31 annual payments of $175,000, with the first payment being deliveredtoday. The income will be taxed at a rate of 28 percent. Taxes will be withheld when the checks are issued.2. You will receive $530,000 now, and you will not have to pay taxes on this amount. Inaddition, beginning one year from today, you will receive $125,000 each year for 30 years.The cash flows from this annuity will be taxed at 28 percent.Using a discount rate of 10 percent, which option should you select?55. Calculating Growing Annuities You have 30 years left until retirement and want to retirewith $1.5 million. Your salary is paid annually, and you will receive $70,000 at the end of the current year. Your salary will increase at 3 percent per year, and you can earn a 10 percent return on the money you invest. If you save a constant percentage of your salary, what percentage of your salary must you save each year?56. Balloon Payments On September 1, 2007, Susan Chao bought a motorcycle for $25,000. Shepaid $1,000 down and financed the balance with a five-year loan at a stated annual interest rate of8.4 percent, compounded monthly. She started the monthly payments exactly one month after thepurchase (i.e., October 1, 2007). Two years later, at the end of October 2009, Susan got a new job and decided to pay off the loan. If the bank charges her a 1 percent prepayment penalty based on the loan balance, how much must she pay the bank on November 1, 2009?57. Calculating Annuity Values Bilbo Baggins wants to save money to meet three objectives.First, he would like to be able to retire 30 years from now with a retirement income of $20,000 per month for 20 years, with the first payment received 30 years and 1 month from now. Second, he would like to purchase a cabin in Rivendell in 10 years at an estimated cost of $320,000. Third, after he passes on at the end of the 20 years of withdrawals, he would like to leave an inheritance of $1,000,000 to his nephew Frodo. He can afford to save $1,900 per month for the next 10 years.If he can earn an 11 percent EAR before he retires and an 8 percent EAR after he retires, how much will he have to save each month in years 11 through 30?58. Calculating Annuity Values After deciding to buy a new car, you can either lease the car orpurchase it with a three-year loan. The car you wish to buy costs $38,000. The dealer has a special leasing arrangement where you pay $1 today and $520 per month for the next three years. If you purchase the car, you will pay it off in monthly payments over the next three years at an 8 percent APR. You believe that you will be able to sell the car for $26,000 in three years. Should you buy or lease the car? What break-even resale price in three years would make you indifferent between buying and leasing?59. Calculating Annuity Values An All-Pro defensive lineman is in contract negotiations. Theteam has offered the following salary structure:All salaries are to be paid in a lump sum. The player has asked you as his agent to renegotiate the terms. He wants a $9 million signing bonus payable today and a contract value increase of $750,000. He also wants an equal salary paid every three months, with the first paycheck three months from now. If the interest rate is 5 percent compounded daily, what is the amount of his quarterly check? Assume 365 days in a year.60. Discount Interest Loans This question illustrates what is known as discount interest. Imagineyou are discussing a loan with a somewhat unscrupulous lender. You want to borrow $20,000 for one year. The interest rate is 14 percent. You and the lender agree that the interest on the loan will be .14 × $20,000 = $2,800. So, the lender deducts this interest amount from the loan up front and gives you $17,200. In this case, we say that the discount is $2,800. What’s wrong here?61. Calculating Annuity Values You are serving on a jury. A plaintiff is suing the city for injuriessustained after a freak street sweeper accident. In the trial, doctors testified that it will be five years before the plaintiff is able to return to work. The jury has already decided in favor of the plaintiff. You are the foreperson of the jury and propose that the jury give the plaintiff an award to cover the following: (1) The present value of two years’ back pay. The plaintiff’s annual salary for the last two years would have been $42,000 and $45,000, respectively. (2) The present value of five years’ future salary. You assume the salary will be $49,000 per year. (3) $150,000 for pain and suffering. (4) $25,000 for court costs. Assume that the salary payments are equal amounts paid at the end of each month. If the interest rate you choose is a 9 percent EAR, what is the size of the settlement? If you were the plaintiff, would you like to see a higher or lower interest rate?62. Calculating EAR with Points You are looking at a one-year loan of $10,000. The interest rateis quoted as 9 percent plus three points. A point on a loan is simply 1 percent (one percentage point) of the loan amount. Quotes similar to this one are very common with home mortgages. The interest rate quotation in this example requires the borrower to pay three points to the lender up front and repay the loan later with 9 percent interest. What rate would you actually be paying here? What is the EAR for a one-year loan with a quoted interest rate of 12 percent plus two points? Is your answer affected by the loan amount?63. EAR versus APR Two banks in the area offer 30-year, $200,000 mortgages at 6.8 percent andcharge a $2,100 loan application fee. However, the application fee charged by Insecurity Bank and Trust is refundable if the loan application is denied, whereas that charged by I. M. Greedy and Sons Mortgage Bank is not. The current disclosure law requires that any fees that will be refunded if the applicant is rejected be included in calculating the APR, but this is not required with nonrefundable。

罗斯《公司理财》(第9版)课后习题(第1~3章)【圣才出品】

罗斯《公司理财》（第9版）课后习题第1章公司理财导论一、概念题1．资本预算（capital budgeting）答：资本预算是指综合反映投资资金来源与运用的预算，是为了获得未来产生现金流量的长期资产而现在投资支出的预算。

资本预算决策也称为长期投资决策，它是公司创造价值的主要方法。

资本预算决策一般指固定资产投资决策，耗资大，周期长，长期影响公司的产销能力和财务状况，决策正确与否影响公司的生存与发展。

完整的资本预算过程包括：寻找增长机会，制定长期投资战略，预测投资项目的现金流，分析评估投资项目，控制投资项目的执行情况。

资本预算可通过不同的资本预算方法来解决，如回收期法、净现值法和内部收益率法等。

2．货币市场（money markets）答：货币市场指期限不超过一年的资金借贷和短期有价证券交易的金融市场，亦称“短期金融市场”或“短期资金市场”，包括同业拆借市场、银行短期存贷市场、票据市场、短期证券市场、大额可转让存单市场、回购协议市场等。

其参加者为各种政府机构、各种银行和非银行金融机构及公司等。

货币市场具有四个基本特征：①融资期限短，一般在一年以内，最短的只有半天，主要用于满足短期资金周转的需要；②流动性强，金融工具可以在市场上随时兑现，交易对象主要是期限短、流动性强、风险小的信用工具，如票据、存单等，这些工具变现能力强，近似于货币，可称为“准货币”，故称货币市场；③安全性高，由于货币市场上的交易大多采用即期交易，即成交后马上结清，通常不存在因成交与结算日之间时间相对过长而引起价格巨大波动的现象，对投资者来说，收益具有较大保障；④政策性明显，货币市场由货币当局直接参加，是中央银行同商业银行及其他金融机构的资金连接的主渠道，是国家利用货币政策工具调节全国金融活动的杠杆支点。

货币市场的交易主体是短期资金的供需者。

需求者是为了获得现实的支付手段，调节资金的流动性并保持必要的支付能力，供应者提供的资金也大多是短期临时闲置性的资金。

ROSS公司理财第九版第4章课后案例作业

所需成本现值=65000+3000+
（
+
=140952.90
所得报酬的现值= =1669675.47 因此，Ben 选择到 Wilton 大学去读 MBA 的净现值为 1528722.57 美元。（3）Ben 选择到 Mount Perry 大学去读 MBA
学费/年
保险费
书费等
食宿费
签约费
薪酬/年
第4章
折现现金流量估价习题参考答案
小案例
有关取得 MBA 学位的决定 P89
Ben Bates 6 年前大学毕业并获得理财学学士学位，尽管对目前的工作很满意，但他的目标是成为一名投资银行家。他认为一个 MBA 学位将使他达到该目标。经过考试，其可选学校有 Wilton 大学和 Mount Perry 大学。尽管两所学校均鼓励通过实习拿到学分，但实习是没有薪酬的。除了实习，两所学校都不允许学生在 MBA 期间工作。 Ben 目前在 Dewey and Louis 投资管理公司工作。他每年的薪酬为 60000 美元，并且预期薪酬会以每年 3%的比例增长直到其退休。他目前是 28 岁，估计还可以工作 35 年。他目前的工作还包括一个完全支付的健康保险计划，并且其目前平均税率为 26%。Ben 的储蓄账户有足够的钱来完成 MBA 学业。 Wilton 大学 Ritter 商学院是该国顶尖的商学院之一。要获取该学院的 MBA 学位，需要在学校里全脱产学习 2 年。每学年的学费为 65000 美元，这些学费需要在该年年初支付。书与其他用品花费估计每年需要 3000 美元。Ben 估计从该学校毕业后，他将找到一份新的工作，其每年可以给他带来 110000 美元的薪酬，并且还有 20000 美元的签约酬金，该工作的薪酬将以每年 4%的增长率增长。由于薪酬较高，其平均首付税率将增至 31%。 Mount Perry 大学 Bradley 商学院从 16 年前开始设 MBA 课程。与 Ritter 学院相比，Bradley 学院显得很小而且不出名。Bradley 商学院提供了一个速成的、1 年期的课程。在被录取入学时要叫学费 80000 美元。书与其他用品花费估计需要 4500 美元。 Ben 估计毕业后，他将找到一份新的工作，其每年可以给他带来 92000 美元的薪酬，并且还有 18000 美元的签约薪酬，该工作的薪酬将以每年 3.5%的增长率增长。其平均税率将增至 29%。两所大学均提供了一份健康保险计划，其花费为每年 3000 美元，在每年年初支付。Ben 估计在任一所大学的食宿花费每年需 2000 美元。适当的折现率是 6.5%。源自学费/年保险费书费等

Cha07 罗斯公司理财第九版原版书课后习题

to abandon, and timing options.4. Decision trees represent an approach for valuing projects with these hidden, or real, options.Concept Questions1. Forecasting Risk What is forecasting risk? In general, would the degree of forecasting risk begreater for a new product or a cost-cutting proposal? Why?2. Sensitivity Analysis and Scenario Analysis What is the essential difference betweensensitivity analysis and scenario analysis?3. Marginal Cash Flows A coworker claims that looking at all this marginal this and incrementalthat is just a bunch of nonsense, and states, “Listen, if our average revenue doesn’t exceed our average cost, then we will have a negative cash flow, and we will go broke!” How do you respond?4. Break-Even Point As a shareholder of a firm that is contemplating a new project, would yoube more concerned with the accounting break-even point, the cash break-even point (the point at which operating cash flow is zero), or the financial break-even point? Why?5. Break-Even Point Assume a firm is considering a new project that requires an initialinvestment and has equal sales and costs over its life. Will the project reach the accounting, cash, or financial break-even point first? Which will it reach next? Last? Will this order always apply?6. Real Options Why does traditional NPV analysis tend to underestimate the true value of acapital budgeting project?7. Real Options The Mango Republic has just liberalized its markets and is now permittingforeign investors. Tesla Manufacturing has analyzed starting a project in the country and has determined that the project has a negative NPV. Why might the company go ahead with the project? What type of option is most likely to add value to this project?8. Sensitivity Analysis and Breakeven How does sensitivity analysis interact with break-evenanalysis?9. Option to Wait An option can often have more than one source of value. Consider a loggingcompany. The company can log the timber today or wait another year (or more) to log the timber.What advantages would waiting one year potentially have?10. Project Analysis You are discussing a project analysis with a coworker. The project involvesreal options, such as expanding the project if successful, or abandoning the project if it fails. Your coworker makes the following statement: “This analysis is ridiculous. We looked at expanding or abandoning the project in two years, but there are many other options we should consider. For example, we could expand in one year, and expand further in two years. Or we could expand in one year, and abandon the project in two years. There are too many options for us to examine.Because of this, anything this analysis would give us is worthless.” How would you evaluate this statement? Considering that with any capital budgeting project there are an infinite number of real options, when do you stop the option analysis on an individual project?Questions and Problems: connect™BASIC (Questions 1–10)1. Sensitivity Analysis and Break-Even Point We are evaluating a project that costs$724,000, has an eight-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 75,000 units per year. Price per unit is $39, variable cost per unit is $23, and fixed costs are $850,000 per year. The tax rate is 35 percent, and we require a 15 percent return on this project.1. Calculate the accounting break-even point.2. Calculate the base-case cash flow and NPV. What is the sensitivity of NPV to changes inthe sales figure? Explain what your answer tells you about a 500-unit decrease in projected sales.3. What is the sensitivity of OCF to changes in the variable cost figure? Explain what youranswer tells you about a $1 decrease in estimated variable costs.2. Scenario Analysis In the previous problem, suppose the projections given for price, quantity,variable costs, and fixed costs are all accurate to within ±10 percent. Calculate the best-case and worst-case NPV figures.3. Calculating Breakeven In each of the following cases, find the unknown variable. Ignoretaxes.4. Financial Breakeven L.J.’s Toys Inc. just purchased a $250,000 machine to produce toy cars.The machine will be fully depreciated by the straight-line method over its five-year economic life.Each toy sells for $25. The variable cost per toy is $6, and the firm incurs fixed costs of $360,000 each year. The corporate tax rate for the company is 34 percent. The appropriate discount rate is12 percent. What is the financial break-even point for the project?5. Option to Wait Your company is deciding whether to invest in a new machine. The newmachine will increase cash flow by $340,000 per year. You believe the technology used in the machine has a 10-year life; in other words, no matter when you purchase the machine, it will be obsolete 10 years from today. The machine is currently priced at $1,800,000. The cost of the machine will decline by $130,000 per year until it reaches $1,150,000, where it will remain. If your required return is 12 percent, should you purchase the machine? If so, when should you purchase it?6. Decision Trees Ang Electronics, Inc., has developed a new DVDR. If the DVDR is successful,the present value of the payoff (when the product is brought to market) is $22 million. If the DVDR fails, the present value of the payoff is $9 million. If the product goes directly to market, there is a50 percent chance of success. Alternatively, Ang can delay the launch by one year and spend $1.5million to test market the DVDR. Test marketing would allow the firm to improve the product and increase the probability of success to 80 percent. The appropriate discount rate is 11 percent.Should the firm conduct test marketing?7. Decision Trees The manager for a growing firm is considering the launch of a new product. Ifthe product goes directly to market, there is a 50 percent chance of success. For $135,000 the manager can conduct a focus group that will increase the product’s chance of success to 65 percent. Alternatively, the manager has the option to pay a consulting firm $400,000 to research the market and refine the product. The consulting firm successfully launches new products 85 percent of the time. If the firm successfully launches the product, the payoff will be $1.5 million. If the product is a failure, the NPV is zero. Which action will result in the highest expected payoff to the firm?8. Decision Trees B&B has a new baby powder ready to market. If the firm goes directly to themarket with the product, there is only a 55 percent chance of success. However, the firm can conduct customer segment research, which will take a year and cost $1.8 million. By going through research, B&B will be able to better target potential customers and will increase the probability of success to 70 percent. If successful, the baby powder will bring a present value profit (at time of initial selling) of $28 million. If unsuccessful, the present value payoff is only $4 million. Should the firm conduct customer segment research or go directly to market? The appropriate discount rate is15 percent.9. Financial Break-Even Analysis You are considering investing in a company that cultivatesabalone for sale to local restaurants. Use the following information:The discount rate for the company is 15 percent, the initial investment in equipment is $360,000, and the project’s economic life is seven years. Assume the equipment is depreciated on a straight-line basis over the project’s life.1. What is the accounting break-even level for the project?2. What is the financial break-even level for the project?10. Financial Breakeven Niko has purchased a brand new machine to produce its High Flight lineof shoes. The machine has an economic life of five years. The depreciation schedule for the machine is straight-line with no salvage value. The machine costs $390,000. The sales price per pair of shoes is $60, while the variable cost is $14. $185,000 of fixed costs per year are attributed to the machine. Assume that the corporate tax rate is 34 percent and the appropriate discount rate is 8 percent. What is the financial break-even point?INTERMEDIATE (Questions 11–25)11. Break-Even Intuition Consider a project with a required return of R percent that costs $I andwill last for N years. The project uses straight-line depreciation to zero over the N-year life; there are neither salvage value nor net working capital requirements.1. At the accounting break-even level of output, what is the IRR of this project? The paybackperiod? The NPV?2. At the cash break-even level of output, what is the IRR of this project? The paybackperiod? The NPV?3. At the financial break-even level of output, what is the IRR of this project? The paybackperiod? The NPV?12. Sensitivity Analysis Consider a four-year project with the following information: Initial fixedasset investment = $380,000; straight-line depreciation to zero over the four-year life; zero salvage value; price = $54; variable costs = $42; fixed costs = $185,000; quantity sold = 90,000 units; tax rate = 34 percent. How sensitive is OCF to changes in quantity sold?13. Project Analysis You are considering a new product launch. The project will cost $960,000,have a four-year life, and have no salvage value; depreciation is straight-line to zero. Sales are projected at 240 units per year; price per unit will be $25,000; variable cost per unit will be $19,500; and fixed costs will be $830,000 per year. The required return on the project is 15 percent, and the relevant tax rate is 35 percent.1. Based on your experience, you think the unit sales, variable cost, and fixed costprojections given here are probably accurate to within ±10 percent. What are the upper and lower bounds for these projections? What is the base-case NPV? What are the best-case and worst-case scenarios?2. Evaluate the sensitivity of your base-case NPV to changes in fixed costs.3. What is the accounting break-even level of output for this project?14. Project Analysis McGilla Golf has decided to sell a new line of golf clubs. The clubs will sell for$750 per set and have a variable cost of $390 per set. The company has spent $150,000 for a marketing study that determined the company will sell 55,000 sets per year for seven years. The marketing study also determined that the company will lose sales of 12,000 sets of its high-priced clubs. The high-priced clubs sell at $1,100 and have variable costs of $620. The company will also increase sales of its cheap clubs by 15,000 sets. The cheap clubs sell for $400 and have variable costs of $210 per set. The fixed costs each year will be $8,100,000. The company has also spent $1,000,000 on research and development for the new clubs. The plant and equipment required will cost $18,900,000 and will be depreciated on a straight-line basis. The new clubs will also require an increase in net working capital of $1,400,000 that will be returned at the end of the project. The tax rate is 40 percent, and the cost of capital is 14 percent. Calculate the payback period, the NPV, and the IRR.15. Scenario Analysis In the previous problem, you feel that the values are accurate to withinonly ±10 percent. What are the best-case and worst-case NPVs? (Hint: The price and variable costs for the two existing sets of clubs are known with certainty; only the sales gained or lost are uncertain.)16. Sensitivity Analysis McGilla Golf would like to know the sensitivity of NPV to changes in theprice of the new clubs and the quantity of new clubs sold. What is the sensitivity of the NPV to each of these variables?17. Abandonment Value We are examining a new project. We expect to sell 9,000 units per yearat $50 net cash flow apiece for the next 10 years. In other words, the annual operating cash flow is projected to be $50 × 9,000 = $450,000. The relevant discount rate is 16 percent, and the initial investment required is $1,900,000.1. What is the base-case NPV?2. After the first year, the project can be dismantled and sold for $1,300,000. If expectedsales are revised based on the first year’s performance, when would it make sense to abandon the investment? In other words, at what level of expected sales would it make sense to abandon the project?3. Explain how the $1,300,000 abandonment value can be viewed as the opportunity cost ofkeeping the project in one year.18. Abandonment In the previous problem, suppose you think it is likely that expected sales willbe revised upward to 11,000 units if the first year is a success and revised downward to 4,000 units if the first year is not a success.1. If success and failure are equally likely, what is the NPV of the project? Consider thepossibility of abandonment in answering.2. What is the value of the option to abandon?19. Abandonment and Expansion In the previous problem, suppose the scale of the project canbe doubled in one year in the sense that twice as many units can be produced and sold. Naturally, expansion would be desirable only if the project were a success. This implies that if the project is a success, projected sales after expansion will be 22,000. Again assuming that success and failure are equally likely, what is the NPV of the project? Note that abandonment is still an option if the project is a failure. What is the value of the option to expand?20. Break-Even Analysis Your buddy comes to you with a sure-fire way to make some quickmoney and help pay off your student loans. His idea is to sell T-shirts with the words “I get” on them. “You get it?” He says, “You see all those bumper stickers and T-shirts that say ‘got milk’ or ‘got surf.’ So this says, ‘I get.’ It’s funny! All we have to do is buy a used silk screen press for $3,200 and we are in business!” Assume there are no fixed costs, and you depreciate the $3,200 in the first period. Taxes are 30 percent.1. What is the accounting break-even point if each shirt costs $7 to make and you can sellthem for $10 apiece?Now assume one year has passed and you have sold 5,000 shirts! You find out that the Dairy Farmers of America have copyrighted the “got milk” slogan and are requiring you to pay $12,000 to continue operations. You expect this craze will last for another three years and that your discount rate is 12 percent.2. What is the financial break-even point for your enterprise now?21. Decision Trees Young screenwriter Carl Draper has just finished his first script. It has action,drama, and humor, and he thinks it will be a blockbuster. He takes the script to every motion picture studio in town and tries to sell it but to no avail. Finally, ACME studios offers to buy the script for either (a) $12,000 or (b) 1 percent of the movie’s profits. There are two decisions the studio will have to make. First is to decide if the script is good or bad, and second if the movie is good or bad. First, there is a 90 percent chance that the script is bad. If it is bad, the studio does nothing more and throws the script out. If the script is good, they will shoot the movie. After the movie is shot, the studio will review it, and there is a 70 percent chance that the movie is bad. If the movie is bad, the movie will not be promoted and will not turn a profit. If the movie is good, the studio will promote heavily; the average profit for this type of movie is $20 million. Carl rejects the $12,000 and says he wants the 1 percent of profits. Was this a good decision by Carl?22. Option to Wait Hickock Mining is evaluating when to open a gold mine. The mine has 60,000ounces of gold left that can be mined, and mining operations will produce 7,500 ounces per year.The required return on the gold mine is 12 percent, and it will cost $14 million to open the mine.When the mine is opened, the company will sign a contract that will guarantee the price of gold for the remaining life of the mine. If the mine is opened today, each ounce of gold will generate an aftertax cash flow of $450 per ounce. If the company waits one year, there is a 60 percent probability that the contract price will generate an aftertax cash flow of $500 per ounce and a 40 percent probability that the aftertax cash flow will be $410 per ounce. What is the value of the option to wait?23. Abandonment Decisions Allied Products, Inc., is considering a new product launch. The firmexpects to have an annual operating cash flow of $22 million for the next 10 years. Allied Products uses a discount rate of 19 percent for new product launches. The initial investment is $84 million.Assume that the project has no salvage value at the end of its economic life.1. What is the NPV of the new product?2. After the first year, the project can be dismantled and sold for $30 million. If theestimates of remaining cash flows are revised based on the first year’s experience, at what level of expected cash flows does it make sense to abandon the project?24. Expansion Decisions Applied Nanotech is thinking about introducing a new surface cleaningmachine. The marketing department has come up with the estimate that Applied Nanotech can sell15 units per year at $410,000 net cash flow per unit for the next five years. The engineeringdepartment has come up with the estimate that developing the machine will take a $17 million initial investment. The finance department has estimated that a 25 percent discount rate should beused.1. What is the base-case NPV?2. If unsuccessful, after the first year the project can be dismantled and will have an aftertaxsalvage value of $11 million. Also, after the first year, expected cash flows will be revised up to 20 units per year or to 0 units, with equal probability. What is the revised NPV?25. Scenario Analysis You are the financial analyst for a tennis racket manufacturer. Thecompany is considering using a graphitelike material in its tennis rackets. The company has estimated the information in the following table about the market for a racket with the new material. The company expects to sell the racket for six years. The equipment required for the project has no salvage value. The required return for projects of this type is 13 percent, and the company has a 40 percent tax rate. Should you recommend the project?CHALLENGE (Questions 26–30)26. Scenario Analysis Consider a project to supply Detroit with 55,000 tons of machine screwsannually for automobile production. You will need an initial $1,700,000 investment in threading equipment to get the project started; the project will last for five years. The accounting department estimates that annual fixed costs will be $520,000 and that variable costs should be $220 per ton;accounting will depreciate the initial fixed asset investment straight-line to zero over the five-year project life. It also estimates a salvage value of $300,000 after dismantling costs. The marketing department estimates that the automakers will let the contract at a selling price of $245 per ton.The engineering department estimates you will need an initial net working capital investment of $600,000. You require a 13 percent return and face a marginal tax rate of 38 percent on this project.1. What is the estimated OCF for this project? The NPV? Should you pursue this project?2. Suppose you believe that the accounting department’s initial cost and salvage valueprojections are accurate only to within ±15 percent; the marketing department’s price estimate is accurate only to within ±10 percent; and the engineering department’s net working capital estimate is accurate only to within ±5 percent. What is your worst-case scenario for this project? Your best-case scenario? Do you still want to pursue the project? 27. Sensitivity Analysis In Problem 26, suppose you’re confident about your own projections, butyou’re a little unsure about Detroit’s actual machine screw requirements. What is the sensitivity of the project OCF to changes in the quantity supplied? What about the sensitivity of NPV to changes in quantity supplied? Given the sensitivity number you calculated, is there some minimum level of output below which you wouldn’t want to operate? Why?28. Abandonment Decisions Consider the following project for Hand Clapper, Inc. The companyis considering a four-year project to manufacture clap-command garage door openers. This project requires an initial investment of $10 million that will be depreciated straight-line to zero over the project’s life. An initial investment in net working capital of $1.3 million is required to support spare parts inventory; this cost is fully recoverable whenever the project ends. The company believes it can generate $7.35 million in pretax revenues with $2.4 million in total pretax operating costs. The tax rate is 38 percent, and the discount rate is 16 percent. The market value of the equipment over the life of the project is as follows:Lumber is sold by the company for its “pond value.” Pond value is the amount a mill will pay for a log delivered to the mill location. The price paid for logs delivered to a mill is quoted in dollars per thousands of board feet (MBF), and the price depends on the grade of the logs. The forest Bunyan Lumber is evaluating was planted by the company 20 years ago and is made up entirely of Douglas fir trees. The table here shows the current price per MBF for the three grades of timber the company feels will come from the stand:Steve believes that the pond value of lumber will increase at the inflation rate. The company is planning to thin the forest today, and it expects to realize a positive cash flow of $1,000 per acre from thinning. The thinning is done to increase the growth rate of the remaining trees, and it is always done 20 years following a planting.The major decision the company faces is when to log the forest. When the company logs the forest, it will immediately replant saplings, which will allow for a future harvest. The longer the forest is allowed to grow, the larger the harvest becomes per acre. Additionally, an older forest has a higher grade of timber. Steve has compiled the following table with the expected harvest per acre in thousands of board feet, along with the breakdown of the timber grades:The company expects to lose 5 percent of the timber it cuts due to defects and breakage.The forest will be clear-cut when the company harvests the timber. This method of harvesting allows for faster growth of replanted trees. All of the harvesting, processing, replanting, and transportation are to be handled by subcontractors hired by Bunyan Lumber. The cost of the logging is expected to be $140 per MBF. A road system has to be constructed and is expected to cost $50 per MBF on average. Sales preparation and administrative costs, excluding office overhead costs, are expected to be $18 per MBF.As soon as the harvesting is complete, the company will reforest the land. Reforesting costs include the following:All costs are expected to increase at the inflation rate.Assume all cash flows occur at the year of harvest. For example, if the company begins harvesting the timber 20 years from today, the cash flow from the harvest will be received 20 years from today. When the company logs the land, it will immediately replant the land with new saplings. The harvest period chosen will be repeated for the foreseeable future. The company’s nominal required return is 10 percent, and the inflation rate is expected to be 3.7 percent per year. Bunyan Lumber has a 35 percent tax rate.Clear-cutting is a controversial method of forest management. To obtain the necessary permits, Bunyan Lumber has agreed to contribute to a conservation fund every time it harvests the lumber. If the company harvested the forest today, the required contribution would be $250,000. The company has agreed that the required contribution will grow by 3.2 percent per year. When should the company harvest the forest?。

罗斯《公司理财》第9版英文原书课后部分章节答案

罗斯《公司理财》第9版精要版英文原书课后部分章节答案详细»1 / 17 CH5 11，13，18，19，20 11. To find the PV of a lump sum, we use: PV = FV / (1 + r) t PV = $1,000,000 / (1.10) 80 = $488.19 13. To answer this question, we can use either the FV or the PV formula. Both will give the same answer since they are the inverse of each other. We will use the FV formula, that is: FV = PV(1 + r) t Solving for r, we get: r = (FV / PV) 1 / t –1 r = ($1,260,000 / $150) 1/112 – 1 = .0840 or 8.40% To find the FV of the first prize, we use: FV = PV(1 + r) t FV = $1,260,000(1.0840) 33 = $18,056,409.94 18. To find the FV of a lump sum, we use: FV = PV(1 + r) t FV = $4,000(1.11) 45 = $438,120.97 FV = $4,000(1.11) 35 = $154,299.40 Better start early! 19. We need to find the FV of a lump sum. However, the money will only be invested for six years, so the number of periods is six. FV = PV(1 + r) t FV = $20,000(1.084)6 = $32,449.33 20. To answer this question, we can use either the FV or the PV formula. Both will give the same answer since they are the inverse of each other. We will use the FV formula, that is: FV = PV(1 + r) t Solving for t, we get: t = ln(FV / PV) / ln(1 + r) t = ln($75,000 / $10,000) / ln(1.11) = 19.31 So, the money must be invested for 19.31 years. However, you will not receive the money for another two years. From now, you’ll wait: 2 years + 19.31 years = 21.31 years CH6 16，24，27，42，58 16. For this problem, we simply need to find the FV of a lump sum using the equation: FV = PV(1 + r) t 2 / 17 It is important to note that compounding occurs semiannually. To account for this, we will divide the interest rate by two (the number of compounding periods in a year), and multiply the number of periods by two. Doing so, we get: FV = $2,100[1 + (.084/2)] 34 = $8,505.93 24. This problem requires us to find the FV A. The equation to find the FV A is: FV A = C{[(1 + r) t – 1] / r} FV A = $300[{[1 + (.10/12) ] 360 – 1} / (.10/12)] = $678,146.38 27. The cash flows are annual and the compounding period is quarterly, so we need to calculate the EAR to make the interest rate comparable with the timing of the cash flows. Using the equation for the EAR, we get: EAR = [1 + (APR / m)] m – 1 EAR = [1 + (.11/4)] 4 – 1 = .1146 or 11.46% And now we use the EAR to find the PV of each cash flow as a lump sum and add them together: PV = $725 / 1.1146 + $980 / 1.1146 2 + $1,360 / 1.1146 4 = $2,320.36 42. The amount of principal paid on the loan is the PV of the monthly payments you make. So, the present value of the $1,150 monthly payments is: PV A = $1,150[(1 – {1 / [1 + (.0635/12)]} 360 ) / (.0635/12)] = $184,817.42 The monthly payments of $1,150 will amount to a principal payment of $184,817.42. The amount of principal you will still owe is: $240,000 – 184,817.42 = $55,182.58 This remaining principal amount will increase at the interest rate on the loan until the end of the loan period. So the balloon payment in 30 years, which is the FV of the remaining principal will be: Balloon payment = $55,182.58[1 + (.0635/12)] 360 = $368,936.54 58. To answer this question, we should find the PV of both options, and compare them. Since we are purchasing the car, the lowest PV is the best option. The PV of the leasing is simply the PV of the lease payments, plus the $99. The interest rate we would use for the leasing option is the same as the interest rate of the loan. The PV of leasing is: PV = $99 + $450{1 –[1 / (1 + .07/12) 12(3) ]} / (.07/12) = $14,672.91 The PV of purchasing the car is the current price of the car minus the PV of the resale price. The PV of the resale price is: PV = $23,000 / [1 + (.07/12)] 12(3) = $18,654.82 The PV of the decision to purchase is: $32,000 – 18,654.82 = $13,345.18 3 / 17 In this case, it is cheaper to buy the car than leasing it since the PV of the purchase cash flows is lower. To find the breakeven resale price, we need to find the resale price that makes the PV of the two options the same. In other words, the PV of the decision to buy should be: $32,000 – PV of resale price = $14,672.91 PV of resale price = $17,327.09 The resale price that would make the PV of the lease versus buy decision is the FV ofthis value, so: Breakeven resale price = $17,327.09[1 + (.07/12)] 12(3) = $21,363.01 CH7 3，18，21，22，31 3. The price of any bond is the PV of the interest payment, plus the PV of the par value. Notice this problem assumes an annual coupon. The price of the bond will be: P = $75({1 – [1/(1 + .0875)] 10 } / .0875) + $1,000[1 / (1 + .0875) 10 ] = $918.89 We would like to introduce shorthand notation here. Rather than write (or type, as the case may be) the entire equation for the PV of a lump sum, or the PV A equation, it is common to abbreviate the equations as: PVIF R,t = 1 / (1 + r) t which stands for Present V alue Interest Factor PVIFA R,t = ({1 – [1/(1 + r)] t } / r ) which stands for Present V alue Interest Factor of an Annuity These abbreviations are short hand notation for the equations in which the interest rate and the number of periods are substituted into the equation and solved. We will use this shorthand notation in remainder of the solutions key. 18. The bond price equation for this bond is: P 0 = $1,068 = $46(PVIFA R%,18 ) + $1,000(PVIF R%,18 ) Using a spreadsheet, financial calculator, or trial and error we find: R = 4.06% This is thesemiannual interest rate, so the YTM is: YTM = 2 4.06% = 8.12% The current yield is:Current yield = Annual coupon payment / Price = $92 / $1,068 = .0861 or 8.61% The effective annual yield is the same as the EAR, so using the EAR equation from the previous chapter: Effective annual yield = (1 + 0.0406) 2 – 1 = .0829 or 8.29% 20. Accrued interest is the coupon payment for the period times the fraction of the period that has passed since the last coupon payment. Since we have a semiannual coupon bond, the coupon payment per six months is one-half of the annual coupon payment. There are four months until the next coupon payment, so two months have passed since the last coupon payment. The accrued interest for the bond is: Accrued interest = $74/2 × 2/6 = $12.33 And we calculate the clean price as: 4 / 17 Clean price = Dirty price –Accrued interest = $968 –12.33 = $955.67 21. Accrued interest is the coupon payment for the period times the fraction of the period that has passed since the last coupon payment. Since we have a semiannual coupon bond, the coupon payment per six months is one-half of the annual coupon payment. There are two months until the next coupon payment, so four months have passed since the last coupon payment. The accrued interest for the bond is: Accrued interest = $68/2 × 4/6 = $22.67 And we calculate the dirty price as: Dirty price = Clean price + Accrued interest = $1,073 + 22.67 = $1,095.67 22. To find the number of years to maturity for the bond, we need to find the price of the bond. Since we already have the coupon rate, we can use the bond price equation, and solve for the number of years to maturity. We are given the current yield of the bond, so we can calculate the price as: Current yield = .0755 = $80/P 0 P 0 = $80/.0755 = $1,059.60 Now that we have the price of the bond, the bond price equation is: P = $1,059.60 = $80[(1 – (1/1.072) t ) / .072 ] + $1,000/1.072 t We can solve this equation for t as follows: $1,059.60(1.072) t = $1,111.11(1.072) t –1,111.11 + 1,000 111.11 = 51.51(1.072) t2.1570 = 1.072 t t = log 2.1570 / log 1.072 = 11.06 11 years The bond has 11 years to maturity.31. The price of any bond (or financial instrument) is the PV of the future cash flows. Even though Bond M makes different coupons payments, to find the price of the bond, we just find the PV of the cash flows. The PV of the cash flows for Bond M is: P M = $1,100(PVIFA 3.5%,16 )(PVIF 3.5%,12 ) + $1,400(PVIFA3.5%,12 )(PVIF 3.5%,28 ) + $20,000(PVIF 3.5%,40 ) P M = $19,018.78 Notice that for the coupon payments of $1,400, we found the PV A for the coupon payments, and then discounted the lump sum back to today. Bond N is a zero coupon bond with a $20,000 par value, therefore, the price of the bond is the PV of the par, or: P N = $20,000(PVIF3.5%,40 ) = $5,051.45 CH8 4，18，20，22，244. Using the constant growth model, we find the price of the stock today is: P 0 = D 1 / (R – g) = $3.04 / (.11 – .038) = $42.22 5 / 17 18. The price of a share of preferred stock is the dividend payment divided by the required return. We know the dividend payment in Year 20, so we can find the price of the stock in Y ear 19, one year before the first dividend payment. Doing so, we get: P 19 = $20.00 / .064 P 19 = $312.50 The price of the stock today is the PV of the stock price in the future, so the price today will be: P 0 = $312.50 / (1.064) 19 P 0 = $96.15 20. We can use the two-stage dividend growth model for this problem, which is: P 0 = [D 0 (1 + g 1 )/(R – g 1 )]{1 – [(1 + g 1 )/(1 + R)] T }+ [(1 + g 1 )/(1 + R)] T [D 0 (1 + g 2 )/(R –g 2 )] P0 = [$1.25(1.28)/(.13 –.28)][1 –(1.28/1.13) 8 ] + [(1.28)/(1.13)] 8 [$1.25(1.06)/(.13 – .06)] P 0 = $69.55 22. We are asked to find the dividend yield and capital gains yield for each of the stocks. All of the stocks have a 15 percent required return, which is the sum of the dividend yield and the capital gains yield. To find the components of the total return, we need to find the stock price for each stock. Using this stock price and the dividend, we can calculate the dividend yield. The capital gains yield for the stock will be the total return (required return) minus the dividend yield. W: P 0 = D 0 (1 + g) / (R – g) = $4.50(1.10)/(.19 – .10) = $55.00 Dividend yield = D 1 /P 0 = $4.50(1.10)/$55.00 = .09 or 9% Capital gains yield = .19 – .09 = .10 or 10% X: P 0 = D 0 (1 + g) / (R – g) = $4.50/(.19 – 0) = $23.68 Dividend yield = D 1 /P 0 = $4.50/$23.68 = .19 or 19% Capital gains yield = .19 – .19 = 0% Y: P 0 = D 0 (1 + g) / (R – g) = $4.50(1 – .05)/(.19 + .05) = $17.81 Dividend yield = D 1 /P 0 = $4.50(0.95)/$17.81 = .24 or 24% Capital gains yield = .19 – .24 = –.05 or –5% Z: P 2 = D 2 (1 + g) / (R – g) = D 0 (1 + g 1 ) 2 (1 +g 2 )/(R – g 2 ) = $4.50(1.20) 2 (1.12)/(.19 – .12) = $103.68 P 0 = $4.50 (1.20) / (1.19) + $4.50(1.20) 2 / (1.19) 2 + $103.68 / (1.19) 2 = $82.33 Dividend yield = D 1 /P 0 = $4.50(1.20)/$82.33 = .066 or 6.6% Capital gains yield = .19 – .066 = .124 or 12.4% In all cases, the required return is 19%, but the return is distributed differently between current income and capital gains. High growth stocks have an appreciable capital gains component but a relatively small current income yield; conversely, mature, negative-growth stocks provide a high current income but also price depreciation over time. 24. Here we have a stock with supernormal growth, but the dividend growth changes every year for the first four years. We can find the price of the stock in Y ear 3 since the dividend growth rate is constant after the third dividend. The price of the stock in Y ear 3 will be the dividend in Y ear 4, divided by the required return minus the constant dividend growth rate. So, the price in Y ear 3 will be: 6 / 17 P3 = $2.45(1.20)(1.15)(1.10)(1.05) / (.11 – .05) = $65.08 The price of the stock today will be the PV of the first three dividends, plus the PV of the stock price in Y ear 3, so: P 0 = $2.45(1.20)/(1.11) + $2.45(1.20)(1.15)/1.11 2 + $2.45(1.20)(1.15)(1.10)/1.11 3 + $65.08/1.11 3 P 0 = $55.70 CH9 3，4，6，9，15 3. Project A has cash flows of $19,000 in Y ear 1, so the cash flows are short by $21,000 of recapturing the initial investment, so the payback for Project A is: Payback = 1 + ($21,000 / $25,000) = 1.84 years Project B has cash flows of: Cash flows = $14,000 + 17,000 + 24,000 = $55,000 during this first three years. The cash flows are still short by $5,000 of recapturing the initial investment, so the payback for Project B is: B: Payback = 3 + ($5,000 / $270,000) = 3.019 years Using the payback criterion and a cutoff of 3 years, accept project A and reject project B. 4. When we use discounted payback, we need to find the value of all cash flows today. The value today of the project cash flows for the first four years is: V alue today of Y ear 1 cash flow = $4,200/1.14 = $3,684.21 V alue today of Y ear 2 cash flow = $5,300/1.14 2 = $4,078.18 V alue today of Y ear 3 cash flow = $6,100/1.14 3 = $4,117.33 V alue today of Y ear 4 cash flow = $7,400/1.14 4 = $4,381.39 To findthe discounted payback, we use these values to find the payback period. The discounted first year cash flow is $3,684.21, so the discounted payback for a $7,000 initial cost is: Discounted payback = 1 + ($7,000 – 3,684.21)/$4,078.18 = 1.81 years For an initial cost of $10,000, the discounted payback is: Discounted payback = 2 + ($10,000 –3,684.21 –4,078.18)/$4,117.33 = 2.54 years Notice the calculation of discounted payback. We know the payback period is between two and three years, so we subtract the discounted values of the Y ear 1 and Y ear 2 cash flows from the initial cost. This is the numerator, which is the discounted amount we still need to make to recover our initial investment. We divide this amount by the discounted amount we will earn in Y ear 3 to get the fractional portion of the discounted payback. If the initial cost is $13,000, the discounted payback is: Discounted payback = 3 + ($13,000 – 3,684.21 – 4,078.18 – 4,117.33) / $4,381.39 = 3.26 years 7 / 17 6. Our definition of AAR is the average net income divided by the average book value. The average net income for this project is: A verage net income = ($1,938,200 + 2,201,600 + 1,876,000 + 1,329,500) / 4 = $1,836,325 And the average book value is: A verage book value = ($15,000,000 + 0) / 2 = $7,500,000 So, the AAR for this project is: AAR = A verage net income / A verage book value = $1,836,325 / $7,500,000 = .2448 or 24.48% 9. The NPV of a project is the PV of the outflows minus the PV of the inflows. Since the cash inflows are an annuity, the equation for the NPV of this project at an 8 percent required return is: NPV = –$138,000 + $28,500(PVIFA 8%, 9 ) = $40,036.31 At an 8 percent required return, the NPV is positive, so we would accept the project. The equation for the NPV of the project at a 20 percent required return is: NPV = –$138,000 + $28,500(PVIFA 20%, 9 ) = –$23,117.45 At a 20 percent required return, the NPV is negative, so we would reject the project. We would be indifferent to the project if the required return was equal to the IRR of the project, since at that required return the NPV is zero. The IRR of the project is: 0 = –$138,000 + $28,500(PVIFA IRR, 9 ) IRR = 14.59% 15. The profitability index is defined as the PV of the cash inflows divided by the PV of the cash outflows. The equation for the profitability index at a required return of 10 percent is: PI = [$7,300/1.1 + $6,900/1.1 2 + $5,700/1.1 3 ] / $14,000 = 1.187 The equation for the profitability index at a required return of 15 percent is: PI = [$7,300/1.15 + $6,900/1.15 2 + $5,700/1.15 3 ] / $14,000 = 1.094 The equation for the profitability index at a required return of 22 percent is: PI = [$7,300/1.22 + $6,900/1.22 2 + $5,700/1.22 3 ] / $14,000 = 0.983 8 / 17 We would accept the project if the required return were 10 percent or 15 percent since the PI is greater than one. We would reject the project if the required return were 22 percent since the PI。

罗斯《公司理财》第9版笔记和课后习题（含考研真题）详解[视频详解]（股票估值）【圣才出品】

罗斯《公司理财》第9版笔记和课后习题（含考研真题）详解[视频详解]（股票估值）【圣才出品】罗斯《公司理财》第9版笔记和课后习题（含考研真题）详解[视频详解]第9章股票估值9.1复习笔记1．不同类型股票的估值（1）零增长股利股利不变时，一股股票的价格由下式给出：在这里假定Div1=Div2=…=Div。

（2）固定增长率股利如果股利以恒定的速率增长，那么一股股票的价格就为：式中，g是增长率；Div是第一期期末的股利。

（3）变动增长率股利2．股利折现模型中的参数估计（1）对增长率g的估计有效估计增长率的方法是：g=留存收益比率×留存收益收益率（ROE）只要公司保持其股利支付率不变，g就可以表示公司的股利增长率以及盈利增长率。

（2）对折现率R的估计对于折现率R的估计为：R=Div/P0+g该式表明总收益率R由两部分组成。

其中，第一部分被称为股利收益率，是预期的现金股利与当前的价格之比。

3．增长机会每股股价可以写做：该式表明，每股股价可以看做两部分的加和。

第一部分（EPS/R）是当公司满足于现状，而将其盈利全部发放给投资者时的价值；第二部分是当公司将盈利留存并用于投资新项目时的新增价值。

当公司投资于正NPVGO的增长机会时，公司价值增加。

反之，当公司选择负NPVGO 的投资机会时，公司价值降低。

但是，不管项目的NPV是正的还是负的，盈利和股利都是增长的。

不应该折现利润来获得每股价格，因为有部分盈利被用于再投资了。

只有股利被分到股东手中，也只有股利可以加以折现以获得股票价格。

4．市盈率即股票的市盈率是三个因素的函数：（1）增长机会。

拥有强劲增长机会的公司具有高市盈率。

（2）风险。

低风险股票具有高市盈率。

（3）会计方法。

采用保守会计方法的公司具有高市盈率。

5．股票市场交易商：持有一项存货，然后准备在任何时点进行买卖。

经纪人：将买者和卖者撮合在一起，但并不持有存货。

9.2课后习题详解一、概念题1．股利支付率（payout ratio）答：股利支付率一般指公司发放给普通股股东的现金股利占总利润的比例。

公司理财Corporate_Finance_第九版_CASE答案(完整资料).doc

【最新整理，下载后即可编辑】Case SolutionsFundamentals of Corporate FinanceRoss, Westerfield, and Jordan9th editionCHAPTER 1THE McGEE CAKE COMPANY1.The advantages to a LLC are: 1) Reduction of personal liability. A soleproprietor has unlimited liability, which can include the potential loss of all personal assets. 2) Taxes. Forming an LLC may mean that more expenses can be considered business expenses and be deducted from the company’s income. 3) Improved credibility. The business may have increased credibility in the business world compared to a sole proprietorship. 4) Ability to attract investment. Corporations, even LLCs, can raise capital through the sale of equity. 5) Continuous life. Sole proprietorships have a limited life, while corporations have a potentially perpetual life. 6) Transfer of ownership. It is easier to transfer ownership in a corporation through the sale of stock.The biggest disadvantage is the potential cost, although the cost of forminga LLC can be relatively small. There are also other potential costs, includingmore expansive record-keeping.2.Forming a corporation has the same advantages as forming a LLC, but thecosts are likely to be higher.3.As a small company, changing to a LLC is probably the most advantageousdecision at the current time. If the company grows, and Doc and Lyn are willing to sell more equity ownership, the company can reorganize as a corporation at a later date. Additionally, forming a LLC is likely to be less expensive than forming a corporation.CHAPTER 2CASH FLOWS AND FINANCIAL STATEMENTS AT SUNSET BOARDS Below are the financial statements that you are asked to prepare.1.The income statement for each year will look like this:Income statement2008 2009Sales $247,259 $301,392Cost of goods sold 126,038 159,143Selling & administrative 24,787 32,352Depreciation 35,581 40,217EBIT $60,853 $69,680Interest 7,735 8,866EBT $53,118 $60,814Taxes 10,624 12,163Net income $42,494 $48,651Dividends $21,247 $24,326Addition to retainedearnings 21,247 24,3262.The balance sheet for each year will be:Balance sheet as of Dec. 31, 2008C-26 CASE SOLUTIONSCash $18,187 Accounts payable $32,143 Accountsreceivable 12,887 Notes payable 14,651 Inventory 27,119 Current liabilities $46,794 Current assets $58,193Long-term debt $79,235 Net fixed assets $156,975 Owners' equity 89,139Total assets $215,168 Total liab. &equity $215,168In the first year, equity is not given. Therefore, we must calculate equity as a plug variable. Since total liabilities & equity is equal to total assets, equity can be calculated as:Equity = $215,168 – 46,794 – 79,235Equity = $89,139CHAPTER 2 C-5Balance sheet as of Dec. 31, 2009Cash $27,478 Accounts payable $36,404 Accountsreceivable 16,717 Notes payable 15,997 Inventory 37,216 Current liabilities $52,401 Current assets $81,411Long-term debt $91,195 Net fixed assets $191,250 Owners' equity 129,065Total assets $272,661 Total liab. &equity $272,661The owner’s equity for 2009 is the beginning of year owner’s equity, plus the addition to retained earnings, plus the new equity, so:Equity = $89,139 + 24,326 + 15,600Equity = $129,065ing the OCF equation:OCF = EBIT + Depreciation – TaxesThe OCF for each year is:OCF2008 = $60,853 + 35,581 – 10,624OCF2008 = $85,180OCF2009 = $69,680 + 40,217 – 12,163OCF2009 = $97,734C-26 CASE SOLUTIONS4.To calculate the cash flow from assets, we need to find the capital spendingand change in net working capital. The capital spending for the year was: Capital spendingEnding net fixed assets $191,250– Beginning net fixedassets 156,975+ Depreciation 40,217Net capital spending $74,492And the change in net working capital was:Change in net working capitalEnding NWC $29,010– Beginning NWC 11,399Change in NWC $17,611CHAPTER 2 C-5 So, the cash flow from assets was:Cash flow from assetsOperating cash flow $97,734– Net capital spending 74,492– Change in NWC 17,611Cash flow from assets $ 5,6315.The cash flow to creditors was:Cash flow to creditorsInterest paid $8,866– Net new borrowing 11,960Cash flow to creditors –$3,0946.The cash flow to stockholders was:Cash flow tostockholdersDividends paid $24,326– Net new equityraised 15,600Cash flow tostockholders $8,726Answers to questions1.The firm had positive earnings in an accounting sense (NI > 0) and hadpositive cash flow from operations. The firm invested $17,611 in new netC-26 CASE SOLUTIONSworking capital and $74,492 in new fixed assets. The firm gave $5,631 to its stakeholders. It raised $3,094 from bondholders, and paid $8,726 to stockholders.2.The expansion plans may be a little risky. The company does have a positivecash flow, but a large portion of the operating cash flow is already going to capital spending. The company has had to raise capital from creditors and stockholders for its current operations. So, the expansion plans may be too aggressive at this time. On the other hand, companies do need capital to grow. Before investing or loaning the company money, you would want to know where the current capital spending is going, and why the company is spending so much in this area already.CHAPTER 3RATIOS ANALYSIS AT S&S AIR1.The calculations for the ratios listed are:Current ratio = $2,186,520 / $2,919,000Current ratio = 0.75 timesQuick ratio = ($2,186,250 – 1,037,120) / $2,919,000Quick ratio = 0.39 timesCash ratio = $441,000 / $2,919,000Cash ratio = 0.15 timesTotal asset turnover = $30,499,420 / $18,308,920Total asset turnover = 1.67 timesInventory turnover = $22,224,580 / $1,037,120Inventory turnover = 21.43 timesReceivables turnover = $30,499,420 / $708,400Receivables turnover = 43.05 timesTotal debt ratio = ($18,308,920 – 10,069,920) / $18,308,920 Total debt ratio = 0.45 timesDebt-equity ratio = ($2,919,000 + 5,320,000) / $10,069,920C-26 CASE SOLUTIONSDebt-equity ratio = 0.82 timesEquity multiplier = $18,308,920 / $10,069,920Equity multiplier = 1.82 timesTimes interest earned = $3,040,660 / $478,240Times interest earned = 6.36 timesCash coverage = ($3,040,660 + 1,366,680) / $478,420 Cash coverage = 9.22 timesProfit margin = $1,537,452 / $30,499,420Profit margin = 5.04%Return on assets = $1,537,452 / $18,308,920Return on assets = 8.40%Return on equity = $1,537,452 / $10,069,920Return on equity = 15.27%CHAPTER 3 C-11 2. Boeing is probably not a good aspirant company. Even though bothcompanies manufacture airplanes, S&S Air manufactures small airplanes, while Boeing manufactures large, commercial aircraft. These are two different markets. Additionally, Boeing is heavily involved in the defense industry, as well as Boeing Capital, which finances airplanes.Bombardier is a Canadian company that builds business jets, short-range airliners and fire-fighting amphibious aircraft and also provides defense-related services. It is the third largest commercial aircraft manufacturer in the world. Embraer is a Brazilian manufacturer than manufactures commercial, military, and corporate airplanes. Additionally, the Brazilian government is a part owner of the company. Bombardier and Embraer are probably not good aspirant companies because of the diverse range of products and manufacture of larger aircraft.Cirrus is the world's second largest manufacturer of single-engine, piston-powered aircraft. Its SR22 is the world's best selling plane in its class. The company is noted for its innovative small aircraft and is a good aspirant company.Cessna is a well known manufacturer of small airplanes. The company produces business jets, freight- and passenger-hauling utility Caravans, personal and small-business single engine pistons. It may be a good aspirant company, however, its products could be considered too broad and diversified since S&S Air produces only small personal airplanes.3. S&S is below the median industry ratios for the current and cash ratios.This implies the company has less liquidity than the industry in general.However, both ratios are above the lower quartile, so there are companiesC-26 CASE SOLUTIONSin the industry with lower liquidity ratios than S&S Air. The company may have more predictable cash flows, or more access to short-term borrowing.If you created an Inventory to Current liabilities ratio, S&S Air would havea ratio that is lower than the industry median. The current ratio is below theindustry median, while the quick ratio is above the industry median. This implies that S&S Air has less inventory to current liabilities than the industry median. S&S Air has less inventory than the industry median, but more accounts receivable than the industry since the cash ratio is lower than the industry median.The turnover ratios are all higher than the industry median; in fact, all three turnover ratios are above the upper quartile. This may mean that S&S Air is more efficient than the industry.The financial leverage ratios are all below the industry median, but above the lower quartile. S&S Air generally has less debt than comparable companies, but still within the normal range.The profit margin, ROA, and ROE are all slightly below the industry median, however, not dramatically lower. The company may want to examine its costs structure to determine if costs can be reduced, or price can be increased.Overall, S&S Air’s performance seems good, although the liquidity ratios indicate that a closer look may be needed in this area.CHAPTER 3 C-11 Below is a list of possible reasons it may be good or bad that each ratio is higher or lower than the industry. Note that the list is not exhaustive, but merely one possible explanation for each ratio.Ratio Good BadCurrent ratio Better at managingcurrent accounts. May be having liquidity problems.Quick ratio Better at managingcurrent accounts. May be having liquidity problems.Cash ratio Better at managingcurrent accounts. May be having liquidity problems.Total asset turnover Better at utilizing assets. Assets may be older anddepreciated, requiringextensive investmentsoon.Inventory turnover Better at inventorymanagement, possibly dueto better procedures.Could be experiencinginventory shortages.Receivables turnover Better at collectingreceivables.May have credit termsthat are too strict.Decreasing receivablesturnover may increasesales.Total debt ratio Less debt than industrymedian means thecompany is less likely toexperience creditproblems. Increasing the amount of debt can increase shareholder returns. Especially notice that it will increase ROE.Debt-equity Less debt than industry Increasing the amount ofC-26 CASE SOLUTIONSratio median means thecompany is less likely toexperience creditproblems. debt can increase shareholder returns. Especially notice that it will increase ROE.Equity multiplier Less debt than industrymedian means thecompany is less likely toexperience creditproblems.Increasing the amount ofdebt can increaseshareholder returns.Especially notice that itwill increase ROE.TIE Higher quality materialscould be increasing costs. The company may have more difficulty meeting interest payments in a downturn.Cash coverage Less debt than industrymedian means thecompany is less likely toexperience creditproblems. Increasing the amount of debt can increase shareholder returns. Especially notice that it will increase ROE.Profit margin The PM is slightly belowthe industry median. Itcould be a result of higherquality materials or bettermanufacturing. Company may be having trouble controlling costs.ROA Company may have newerassets than the industry. Company may have newer assets than the industry.ROE Lower profit margin maybe a result of higherquality. Profit margin and EM are lower than industry, which results in the lower ROE.CHAPTER 4PLANNING FOR GROWTH AT S&S AIR1.To calculate the internal growth rate, we first need to find the ROA and theretention ratio, so:ROA = NI / TAROA = $1,537,452 / $18,309,920ROA = .0840 or 8.40%b = Addition to RE / NIb = $977,452 / $1,537,452b = 0.64Now we can use the internal growth rate equation to get:Internal growth rate = (ROA × b) / [1 – (ROA × b)]Internal growth rate = [0.0840(.64)] / [1 – 0.0840(.64)]Internal growth rate = .0564 or 5.64%To find the sustainable growth rate, we need the ROE, which is:ROE = NI / TEROE = $1,537,452 / $10,069,920ROE = .1527 or 15.27%C-26 CASE SOLUTIONSUsing the retention ratio we previously calculated, the sustainable growth rate is:Sustainable growth rate = (ROE × b) / [1 – (ROE × b)]Sustainable growth rate = [0.1527(.64)] / [1 – 0.1527(.64)]Sustainable growth rate = .1075 or 10.75%The internal growth rate is the growth rate the company can achieve with no outside financing of any sort. The sustainable growth rate is the growth rate the company can achieve by raising outside debt based on its retained earnings and current capital structure.CHAPTER 4 C-21 2.Pro forma financial statements for next year at a 12 percent growth rate are:Income statementSales $ 34,159,35COGS 24,891,530 Other expenses 4,331,600 Depreciation 1,366,680EBIT $ 3,569,541Interest 478,240Taxable income $ 3,091,301Taxes (40%) 1,236,520Net income $ 1,854,78Dividends $ 675,583C-26 CASE SOLUTIONSAdd to RE 1,179,197Balance sheetAssets Liabilities & EquityCurrent Assets Current LiabilitiesCash $ 493,92AccountsPayable $ 995,680Accounts rec. 793,408 Notes Payable 2,030,000 Inventory 1,161,574 Total CL $ 3,025,680 Total CA $ 2,448,902Long-term debt $ 5,320,000ShareholderEquityCommon stock $ 350,000Fixed assets Retainedearnings 10,899,117Net PP&E $ 18,057,088 Total Equity $ 11,249,117Total Assets $ 20,505,990 Total L&E $ 19,594,787CHAPTER 4 C-21 So, the EFN is:EFN = Total assets – Total liabilities and equityEFN = $20,505,990 – 19,594,797EFN = $911,193The company can grow at this rate by changing the way it operates. For example, if profit margin increases, say by reducing costs, the ROE increases, it will increase the sustainable growth rate. In general, as long as the company increases the profit margin, total asset turnover, or equity multiplier, the higher growth rate is possible. Note however, that changing any one of these will have the effect of changing the pro forma financial statements.C-26 CASE SOLUTIONS3.Now we are assuming the company can only build in amounts of $5 million.We will assume that the company will go ahead with the fixed asset acquisition. To estimate the new depreciation charge, we will find the current depreciation as a percentage of fixed assets, then, apply this percentage to the new fixed assets. The depreciation as a percentage of assets this year was:Depreciation percentage = $1,366,680 / $16,122,400Depreciation percentage = .0848 or 8.48%The new level of fixed assets with the $5 million purchase will be:New fixed assets = $16,122,400 + 5,000,000 = $21,122,400So, the pro forma depreciation will be:Pro forma depreciation = .0848($21,122,400)Pro forma depreciation = $1,790,525We will use this amount in the pro forma income statement. So, the pro forma income statement will be:Income statementSales $ 34,159,35COGS 24,891,530 Other expensesCHAPTER 4 C-214,331,600Depreciation 1,790,525EBIT $ 3,145,696Interest 478,240Taxable income $ 2,667,456Taxes (40%) 1,066,982Net income $ 1,600,473Dividends $ 582,955Add to RE 1,017,519C-26 CASE SOLUTIONSThe pro forma balance sheet will remain the same except for the fixed asset and equity accounts. The fixed asset account will increase by $5 million, rather than the growth rate of sales.Balance sheetAssets Liabilities & EquityCurrent Assets Current LiabilitiesCash $ 493,92AccountsPayable $ 995,680Accounts rec. 793,408 Notes Payable 2,030,000 Inventory 1,161,574 Total CL $ 3,025,680 Total CA $ 2,448,902Long-term debt $ 5,320,000ShareholderEquityCommon stock $ 350,000Fixed assets Retainedearnings 10,737,439Net PP&E $ 21,122,400 Total Equity $ 11,087,439Total Assets $ 23,571,302 Total L&E $ 19,433,119CHAPTER 4 C-21 So, the EFN is:EFN = Total assets – Total liabilities and equityEFN = $23,581,302 – 19,433,119EFN = $4,138,184Since the fixed assets have increased at a faster percentage than sales, the capacity utilization for next year will decrease.CHAPTER 6THE MBA DECISION1. Age is obviously an important factor. The younger an individual is, the moretime there is for the (hopefully) increased salary to offset the cost of the decision to return to school for an MBA. The cost includes both the explicit costs such as tuition, as well as the opportunity cost of the lost salary.2. Perhaps the most important nonquantifiable factors would be whether ornot he is married and if he has any children. With a spouse and/or children, he may be less inclined to return for an MBA since his family may be less amenable to the time and money constraints imposed by classes. Other factors would include his willingness and desire to pursue an MBA, job satisfaction, and how important the prestige of a job is to him, regardless of the salary.3.He has three choices: remain at his current job, pursue a Wilton MBA, orpursue a Mt. Perry MBA. In this analysis, room and board costs are irrelevant since presumably they will be the same whether he attends college or keeps his current job. We need to find the aftertax value of each, so:Remain at current job:Aftertax salary = $55,000(1 – .26) = $40,700CHAPTER 6 C-27 His salary will grow at 3 percent per year, so the present value of his aftertax salary is:PV = C {1 – [(1 + g)/(1 + r)]t} / (r–g)]PV = $40,700{[1 – [(1 +.065)/(1 + .03)]38} / (.065 – .03)PV = $836,227.34Wilton MBA:Costs:Total direct costs = $63,000 + 2,500 + 3,000 = $68,500PV of direct costs = $68,500 + 68,500 / (1.065) = $132,819.25PV of indirect costs (lost salary) = $40,700 / (1.065) + $40,700(1 + .03) / (1 + .065)2 = $75,176.00Salary:PV of aftertax bonus paid in 2 years = $15,000(1 –.31) / 1.0652= $9,125.17Aftertax salary = $98,000(1 – .31) = $67,620C-26 CASE SOLUTIONSHis salary will grow at 4 percent per year. We must also remember that he will now only work for 36 years, so the present value of his aftertax salary is: PV = C {1 – [(1 + g)/(1 + r)]t} / (r–g)]PV = $67,620{[1 – [(1 +.065)/(1 + .04)]36} / (.065 – .04)PV = $1,554,663.22Since the first salary payment will be received three years from today, so we need to discount this for two years to find the value today, which will be: PV = $1,544,663.22 / 1.0652PV = $1,370,683.26So, the total value of a Wilton MBA is:Value = –$75,160 – 132,819.25 + 9,125.17 + 1,370,683.26 =$1,171,813.18Mount Perry MBA:Costs:Total direct costs = $78,000 + 3,500 + 3,000 = $86,500. Note, this is also the PV of the direct costs since they are all paid today.PV of indirect costs (lost salary) = $40,700 / (1.065) = $38,215.96Salary:CHAPTER 6 C-27 PV of aftertax bonus paid in 1 year = $10,000(1 – .29) / 1.065 = $6,666.67 Aftertax salary = $81,000(1 – .29) = $57,510His salary will grow at 3.5 percent per year. We must also remember that he will now only work for 37 years, so the present value of his aftertax salary is: PV = C {1 – [(1 + g)/(1 + r)]t} / (r–g)]PV = $57,510{[1 – [(1 +.065)/(1 + .035)]37} / (.065 – .035)PV = $1,250,991.81Since the first salary payment will be received two years from today, so we need to discount this for one year to find the value today, which will be:PV = $1,250,991.81 / 1.065PV = $1,174,640.20So, the total value of a Mount Perry MBA is:Value = –$86,500 – 38,215.96 + 6,666.67 + 1,174,640.20 = $1,056,590.90C-26 CASE SOLUTIONS4.He is somewhat correct. Calculating the future value of each decision willresult in the option with the highest present value having the highest future value. Thus, a future value analysis will result in the same decision. However, his statement that a future value analysis is the correct method is wrong since a present value analysis will give the correct answer as well.5. To find the salary offer he would need to make the Wilton MBA asfinancially attractive as the as the current job, we need to take the PV of his current job, add the costs of attending Wilton, and the PV of the bonus on an aftertax basis. So, the necessary PV to make the Wilton MBA the same as his current job will be:PV = $836,227.34 + 132,819.25 + 75,176.00 – 9,125.17 = $1,035,097.42This PV will make his current job exactly equal to the Wilton MBA on a financial basis. Since his salary will still be a growing annuity, the aftertax salary needed is:PV = C {1 – [(1 + g)/(1 + r)]t} / (r–g)]$1,035,097.42 = C {[1 – [(1 +.065)/(1 + .04)]36} / (.065 – .04)C = $45,021.51This is the aftertax salary. So, the pretax salary must be:Pretax salary = $45,021.51 / (1 – .31) = $65,248.576.The cost (interest rate) of the decision depends on the riskiness of the use offunds, not the source of the funds. Therefore, whether he can pay cash orCHAPTER 6 C-27 must borrow is irrelevant. This is an important concept which will be discussed further in capital budgeting and the cost of capital in later chapters.CHAPTER 7FINANCING S&S AIR’S EXPANSION PLANS WITH A BOND ISSUEA rule of thumb with bond provisions is to determine who benefits by theprovision. If the company benefits, the bond will have a higher coupon rate.If the bondholders benefit, the bond will have a lower coupon rate.1. A bond with collateral will have a lower coupon rate. Bondholders have theclaim on the collateral, even in bankruptcy. Collateral provides an asset that bondholders can claim, which lowers their risk in default. The downside of collateral is that the company generally cannot sell the asset used as collateral, and they will generally have to keep the asset in good working order.2.The more senior the bond is, the lower the coupon rate. Senior bonds getfull payment in bankruptcy proceedings before subordinated bonds receive any payment. A potential problem may arise in that the bond covenant may restrict the company from issuing any future bonds senior to the current bonds.3. A sinking fund will reduce the coupon rate because it is a partial guaranteeto bondholders. The problem with a sinking fund is that the company must make the interim payments into a sinking fund or face default. This means the company must be able to generate these cash flows.4. A provision with a specific call date and prices would increase the couponrate. The call provision would only be used when it is to the company’s advantage, thus the bondholder’s disadvantage. The downside is theCHAPTER 7 C-29 higher coupon rate. The company benefits by being able to refinance at a lower rate if interest rates fall significantly, that is, enough to offset the call provision cost.5. A deferred call would reduce the coupon rate relative to a call provision witha deferred call. The bond will still have a higher rate relative to a plain vanillabond. The deferred call means that the company cannot call the bond for a specified period. This offers the bondholders protection for this period. The disadvantage of a deferred call is that the company cannot call the bond during the call protection period. Interest rates could potentially fall to the point where it would be beneficial for the company to call the bond, yet the company is unable to do so.6. A make-whole call provision should lower the coupon rate in comparison toa call provision with specific dates since the make-whole call repays thebondholder the present value of the future cash flows. However, a make-whole call provision should not affect the coupon rate in comparison to a plain vanilla bond. Since the bondholders are made whole, they should be indifferent between a plain vanilla bond and a make-whole bond. If a bond with a make-whole provision is called, bondholders receive the market value of the bond, which they can reinvest in another bond with similar characteristics. If we compare this to a bond with a specific call price, investors rarely receive the full market value of the future cash flows.CASE 3 C-30 7. A positive covenant would reduce the coupon rate. The presence of positivecovenants protects bondholders by forcing the company to undertake actions that benefit bondholders. Examples of positive covenants would be: the company must maintain audited financial statements; the company must maintain a minimum specified level of working capital or a minimum specified current ratio; the company must maintain any collateral in good working order. The negative side of positive covenants is that the company is restricted in its actions. The positive covenant may force the company into actions in the future that it would rather not undertake.8. A negative covenant would reduce the coupon rate. The presence ofnegative covenants protects bondholders from actions by the company that would harm the bondholders. Remember, the goal of a corporation is to maximize shareholder wealth. This says nothing about bondholders.Examples of negative covenants would be: the company cannot increase dividends, or at least increase beyond a specified level; the company cannot issue new bonds senior to the current bond issue; the company cannot sell any collateral. The downside of negative covenants is the restriction of the company’s actions.9.Even though the company is not public, a conversion feature would likelylower the coupon rate. The conversion feature would permit bondholders to benefit if the company does well and also goes public. The downside is that the company may be selling equity at a discounted price.10. The downside of a floating-rate coupon is that if interest rates rise, thecompany has to pay a higher interest rate. However, if interest rates fall, the company pays a lower interest rate.CHAPTER 8STOCK VALUATION AT RAGAN, INC.1.The total dividends paid by the company were $126,000. Since there are100,000 shares outstanding, the total earnings for the company were: Total earnings = 100,000($4.54) = $454,000This means the payout ratio was:Payout ratio = $126,000/$454,000 = 0.28So, the retention ratio was:Retention ratio = 1 – .28 = 0.72Using the retention ratio, the company’s growth rate is:g = ROE × b = 0.25*(.72) = .1806 or 18.06%The dividend per share paid this year was:= $63,000 / 50,000D= $1.26DNow we can find the stock price, which is:C-84 CASE SOLUTIONSP 0 = D 1 / (R – g )P 0 = $1.26(1.1806) / (.20 – .1806)P 0 = $76.752.Since Expert HVAC had a write off which affected its earnings per share, we need to recalculate the industry EPS. So, the industry EPS is:Industry EPS = ($0.79 + 1.38 + 1.06) / 3 = $1.08Using this industry EPS, the industry payout ratio is:Industry payout ratio = $0.40/$1.08 = .3715 or 37.15%So, the industry retention ratio isIndustry retention ratio = 1 – .3715 = .6285 or 62.85%。

Cha10 罗斯公司理财第九版原版书课后习题

Company Stock One option in the 401(k) plan is stock in East Coast Yachts. The company is currently privately held. However, when you interviewed with the owner, Larissa Warren, she informed you the company was expected to go public in the next three to four years. Until then, a company stock price is simply set each year by the board of directors.Bledsoe S&P 500 Index Fund This mutual fund tracks the S&P 500. Stocks in the fund are weighted exactly the same as the S&P 500. This means the fund return is approximately the return on the S&P 500, minus expenses. Because an index fund purchases assets based on the composition of the index it is following, the fund manager is not required to research stocks and make investment decisions. The result is that the fund expenses are usually low. The Bledsoe S&P 500 Index Fund charges expenses of .15 percent of assets per year.Bledsoe Small-Cap Fund This fund primarily invests in small-capitalization stocks. As such, the returns of the fund are more volatile. The fund can also invest 10 percent of its assets in companies based outside the United States. This fund charges 1.70 percent in expenses.Bledsoe Large-Company Stock Fund This fund invests primarily in large-capitalization stocks of companies based in the United States. The fund is managed by Evan Bledsoe and has outperformed the market in six of the last eight years. The fund charges 1.50 percent in expenses.Bledsoe Bond Fund This fund invests in long-term corporate bonds issued by U.S.–domiciled companies. The fund is restricted to investments in bonds with an investment-grade credit rating. This fund charges 1.40 percent in expenses.Bledsoe Money Market Fund This fund invests in short-term, high–credit quality debt instruments, which include Treasury bills. As such, the return on the money market fund is only slightly higher than the return on Treasury bills. Because of the credit quality and short-term nature of the investments, there is only a very slight risk of negative return. The fund charges .60 percent in expenses.1. What advantages do the mutual funds offer compared to the company stock?2. Assume that you invest 5 percent of your salary and receive the full 5 percent match from EastCoast Yachts. What EAR do you earn from the match? What conclusions do you draw about matching plans?3. Assume you decide you should invest at least part of your money in large-capitalization stocksof companies based in the United States. What are the advantages and disadvantages of choosing the Bledsoe Large-Company Stock Fund compared to the Bledsoe S&P 500 Index Fund?4. The returns on the Bledsoe Small-Cap Fund are the most volatile of all the mutual funds offeredin the 401(k) plan. Why would you ever want to invest in this fund? When you examine the expenses of the mutual funds, you will notice that this fund also has the highest expenses. Does this affect your decision to invest in this fund?5. A measure of risk-adjusted performance that is often used is the Sharpe ratio. The Sharpe ratiois calculated as the risk premium of an asset divided by its standard deviation. The standard deviations and returns of the funds over the past 10 years are listed here. Calculate the Sharpe ratio for each of these funds. Assume that the expected return and standard deviation of the company stock will be 16 percent and 70 percent, respectively. Calculate the Sharpe ratio for the company stock. How appropriate is the Sharpe ratio for these assets? When would you use the Sharpe ratio?6. What portfolio allocation would you choose? Why? Explain your thinking carefully.。

罗斯公司理财第九版第十八章课后答案对应版

第十八章：杠杆企业的股价与资本预算1、调整的净现值法（APV）如下：（UCF t=无杠杆企业项目第期流向权益所有者的现金流量R0=无杠杆企业项目的资本成本）2、APV 法用权益资本成本折现现金流得到无杠杆项目的价值，然后加上负债的节税现值，得到有杠杆情况下的项目价值；而WACC 法则将UCF 按R WACC折现，而R WACC 低于R0 。

3、FTE 法使用的是LCF，而其它两种方法使用的是UCF。

4、WACC 法在计算现金流量时使用的是无杠杆企业的现金流量，没有包含利息，但是在计算加权平均成本的时候包含了利息成本。

若在计算现金流时要把利息的支付包括进去，可使用FTF 法。

5、无杠杆企业的贝塔值可以用杠杆的贝塔来衡量，它是企业业务风险的衡量标准；另外，企业的金融风险也可以由贝塔值来衡量。

6.a. The maximum price that the company should be willing to pay for the fleet of cars with all-equity funding is the price that makes the NPV of the transaction equal to zero. The NPV equation for the project is:NPV = –Purchase Price + PV[(1 – t C )(EBTD)] + PV(Depreciation Tax Shield)If we let P equal the purchase price of the fleet, then the NPV is:NPV = –P + (1 – .35)($140,000)PVIFA13%,5 + (.35)(P/5)PVIFA13%,5Setting the NPV equal to zero and solving for the purchase price, we find:0 = –P + (1 – .35)($140,000)PVIFA13%,5 + (.35)(P/5)PVIFA13%,5P = $320,068.04 + (P)(0.35/5)PVIFA13%,5 = $320,068.04 + .2462P.7538P = $320,068.04 则P = $424,609.54b. The adjusted present value (APV) of a project equals the net present value of the project if it were funded completely by equity plus the net present value of any financing side effects.In this case, the NPV of financing side effects equals the after-tax present value of the cash flows resulting from the firm‘s debt, so:APV = NPV(All-Equity) + NPV(Financing Side Effects)So, the NPV of each part of the APV equation is:NPV(All-Equity) = –Purchase Price + PV[(1 – t C )(EBTD)] + PV(Depreciation Tax Shield) The company paid $395,000 for the fleet of cars. Because this fleet will be fully depreciated over five years using the straight-line method, annual depreciation expense equals: Depreciation = $395,000/5 = $79,000So, the NPV of an all-equity project is:NPV = –$395,000 + (1 – 0.35)($140,000)PVIFA13%,5 + (0.35)($79,000)PVIFA13%,5NPV = $22,319.49NPV(Financing Side Effects)The net present value of financing side effects equals the after-tax present value of cash flows resulting from the firm‘s debt, so:NPV = Proceeds – Aftertax PV(Interest Payments) – PV(Principal Payments)Given a known level of debt, debt cash flows should be discounted at the pre-tax cost of debt R B. So, the NPV of the financing side effects are:NPV = $260,000 – (1 – 0.35)(0.08)($260,000)PVIFA8%,5 – [$260,000/(1.08)⌒5] = $29,066.93 So, the APV of the project is:APV = NPV(All-Equity) + NPV(Financing Side Effects)APV = $22,319.49 + 29,066.93 = $51,386.427. a. In order to value a firm‘s equity using the flow-to-equity approach, discount the cash flows available to equity holders at the cost of the firm‘s levered equity. The cash flows to equity holders will be the firm‘s net income. Remembering that the company has three stores, we find:Sales $3,600,000COGS 1,530,000G & A costs 1,020,000Interest 102,000EBT $948,000Taxes 379,200NI $568,800Since this cash flow will remain the same forever, the present value of cash flows available to the firm‘s equity holders is a perpetuity. We can discount at the levered cost of equity, so, the value of the company‘s equity is: PV(Flow-to-equity) = $568,800 / 0.19 = $2,993,684.21b. The value of a firm is equal to the sum of the market values of its debt and equity, or:V L = B + SWe calculat ed the value of the company‘s equity in part a, so now we need to calculate the value of debt. The company has a debt-to-equity ratio of 0.40, which can be written algebraically as: B / S = 0.40We can substitute the value of equity and solve for the value of debt, doing so, we find:B / $2,993,684.21 = 0.40 则B = $1,197,473.68So, the value of the company is: V = $2,993,684.21 + 1,197,473.68 = $4,191,157.898. a. In order to determine the cost of the firm‘s debt, we need to find the yield to maturity on its current bonds. With semiannual coupon payments, the yield to maturity in the company‘s bonds is: $975 = $40(PVIFA R%,40) + $1,000(PVIF R%,40) 则R = .0413 or 4.13%Since the coupon payments are semiannual, the YTM on the bonds is:YTM = 4.13%× 2 = 8.26%b. We can use the Capital Asset Pricing Model to find the return on unlevered equity. According to the Capital Asset Pricing Model:R0 = R F + βUnlevered(R M – R F) = 5% + 1.1(12% – 5%) = 12.70%Now we can find the cost of levered equity. According to Modigliani-Miller Proposition II with corporate taxesR S = R0 + (B/S)(R0 – R B)(1 – t C) = .1270 + (.40)(.1270 – .0826)(1 – .34) = .1387 or 13.87% c. In a world with corporate taxes, a firm‘s weighted average cost of capital is equal to:R WACC = [B / (B + S)](1 – t C)R B + [S / (B + S)]R SThe problem does not provide either the debt-value ratio or equity-value ratio. However, the firm‘s debt-equity ratio of is: B/S = 0.40Solving for B: B = 0.4SSubstituting this in the debt-value ratio, we get: B/V = .4S / (.4S + S) = .4 / 1.4 = .29And the equity-value ratio is one minus the debt-value ratio, or: S/V = 1 – .29= .71So, the WACC for the company is: R WACC = .29(1 – .34)(.0826) + .71(.1387)R WACC = .1147 or 11.47%9. a. The equity beta of a firm financed entirely by equity is equal to its unlevered beta. Since each firm has an unlevered beta of 1.25, we can find the equity beta for each. Doing so, we find:North PoleβEquity = [1 + (1 – t C)(B/S)] βUnlevered = [1 + (1 – .35)($2,900,000/$3,800,000](1.25) = 1.87 South PoleβEquity = [1 + (1 – t C)(B/S)]βUnlevered = [1 + (1 – .35)($3,800,000/$2,900,000](1.25) = 2.31b. We can use the Capital Asset Pricing Model to find th e required return on each firm‘s equity. Doing so, we find:North Pole: R S = R F + βEquity(R M – R F) = 5.30% + 1.87(12.40% – 5.30%) = 18.58%South Pole: R S = R F + βEquity(R M – R F) = 5.30% + 2.31(12.40% – 5.30%) = 21.73%10. First we need to find the aftertax value of the revenues minus expenses. The aftertax value is: Aftertax revenue = $3,800,000(1 – .40) = $2,280,000Next, we need to find the depreciation tax shield. The depreciation tax shield each year is: Depreciation tax shield = Depreciation(t C) = ($11,400,000 / 6)(.40) = $760,000Now we can find the NPV of the project, which is:NPV = Initial cost + PV of depreciation tax shield + PV of aftertax revenueTo find the present value of the depreciation tax shield, we should discount at the risk-free rate, and we need to discount the aftertax revenues at the cost of equity, so:NPV = –$11,400,000 + $760,000(PVIFA6%,6) + $2,280,000(PVIFA14%,6) = $1,203,328.43 11. a. The company has a capital structure with three parts: long-term debt, short-term debt, and equity. Since interest payments on both long-term and short-term debt are tax-deductible, multiply the pretax costs by (1 – t C) to determine the aftertax costs to be used in the weighted average cost of capital calculation. The WACC using the book value weights is:R WACC = (w STD)(R STD)(1 – t C) + (w LTD)(R LTD)(1 – t C) + (w Equity)(R Equity)R WACC = ($3 / $19)(.035)(1 – .35) + ($10 / $19)(.068)(1 – .35) + ($6 / $19)(.145)R WACC = 0.0726 or 7.26%b. Using the market value weights, the company‘s WACC is:R WACC = (w STD)(R STD)(1 – t C) + (w LTD)(R LTD)(1 – t C) + (w Equity)(R Equity)R WACC = ($3 / $40)(.035)(1 – .35) + ($11 / $40)(.068)(1 – .35) + ($26 / $40)(.145)R WACC = 0.1081 or 10.81%c. Using the target debt-equity ratio, the target debt-value ratio for the company is:B/S = 0.60 则B = 0.6SSubstituting this in the debt-value ratio, we get: B/V = .6S / (.6S + S) = .6 / 1.6 = .375And the equity-value ratio is one minus the debt-value ratio, or: S/V = 1 – .375 = .625We can use the ratio of short-term debt to long-term debt in a similar manner to find the short-term debt to total debt and long-term debt to total debt. Using the short-term debt to long-term debt ratio, we get: STD/LTD = 0.20 则STD = 0.2LTDSubstituting this in the short-term debt to total debt ratio, we get:STD/B = .2LTD / (.2LTD + LTD) = .2 / 1.2 = .167And the long-term debt to total debt ratio is one minus the short-term debt to total debt ratio, or: LTD/B = 1 – .167 = .833Now we can find the short-term debt to value ratio and long-term debt to value ratio by multiplying the respective ratio by the debt-value ratio. So:STD/V = (STD/B)(B/V) = .167(.375) = .063And the long-term debt to value ratio is:LTD/V = (LTD/B)(B/V) = .833(.375) = .313So, using the target capital structure we ights, the company‘s WACC is:R WACC = (w STD)(R STD)(1 – t C) + (w LTD)(R LTD)(1 – t C) + (w Equity)(R Equity)R WACC = (.06)(.035)(1 – .35) + (.31)(.068)(1 – .35) + (.625)(.145) = 0.1059 or 10.59%d. The differences in the WACCs are due to the different weighti ng schemes. The company‘s WACC will most closely resemble the WACC calculated using target weights since future projects will be financed at the target ratio. Therefore, the WACC computed with target weights should be used for project evaluation12.略13. The adjusted present value of a project equals the net present value of the project under all-equity financing plus the net present value of any financing side effects. First, we need to calculate the unlevered cost of equity. According to Modigliani-Miller Proposition II with corporate taxes: R S = R0 + (B/S)(R0 – R B)(1 – t C).16 = R0 + (0.50)(R0 – 0.09)(1 – 0.40) 则R0 = 0.1438 or 14.38%Now we can find the NPV of an all-equity project, which is:NPV = PV(Unlevered Cash Flows)NPV = –$21,000,000 + $6,900,000/1.1438 + $11,000,000/(1.1438)2 + $9,500,000/(1.1438)3 NPV = –$212,638.89Next, we need to find the net present value of financing side effects. This is equal the aftertax present value of cash flows resulting from the firm‘s debt. So:NPV = Proceeds – Aftertax PV(Interest Payments) – PV(Principal Payments)Each year, an equal principal payment will be made, which will reduce the interest accrued during the year. Given a known level of debt, debt cash flows should be discounted at the pre-tax cost of debt, so the NPV of the financing effects are:NPV = $7,000,000 – (1 – .40)(.09)($7,000,000) / (1.09) – $2,333,333.33/(1.09)– (1 – .40)(.09)($4,666,666.67)/(1.09)⌒2 – $2,333,333.33/(1.09)⌒2– (1 – .40)(.09)($2,333,333.33)/(1.09)⌒3 – $2,333,333.33/(1.09)⌒3 = $437,458.31So, the APV of project is: APV = NPV(All-equity) + NPV(Financing side effects)APV = –$212,638.89 + 437,458.31 = $224,819.4214. a. To calculate the NPV of the project, we first need to find the company‘s WACC. In a world with cor porate taxes, a firm‘s weighted average cost of capital equals:R WACC = [B / (B + S)](1 – t C)R B + [S / (B + S)]R SThe market value of the company‘s equity is:Market value of equity = 6,000,000($20) = $120,000,000So, the debt-value ratio and equity-value ratio are:Debt-value = $35,000,000 / ($35,000,000 + 120,000,000) = .2258Equity-value = $120,000,000 / ($35,000,000 + 120,000,000) = .7742Since the CEO believes its current capital structure is optimal, these values can be used as thetarget weight s in the firm‘s weighted average cost of capital calculation. The yield to maturity of the company‘s debt is its pretax cost of debt. To find the company‘s cost of equity, we need to calculate the stock beta. The stock beta can be calculated as:β= 标准差S,M / 方差M = .036 / .202 = 0.90Now we can use the Capital Asset Pricing Model to determine the cost of equity. The Capital Asset Pricing Model is: R S = R F + β(R M – R F) = 6% + 0.90(7.50%) = 12.75%Now, we can calculate the company‘s WACC, which is:R WACC = [B / (B + S)](1 – t C)R B + [S / (B + S)]R S = .2258(1 – .35)(.08) + .7742(.1275)R WACC = .1105 or 11.05%Finally, we can use the WACC to discount the unlevered cash flows, which gives us an NPV of: NPV = –$45,000,000 + $13,500,000(PVIFA11.05%,5) = $4,837,978.59b. The weighted average cost of capital used in part a will not change if the firm chooses to fund the project entirely with debt. The weighted average cost of capital is based on optimal capital structure weights. Since the current capital structure is optimal, all-debt funding for the project simply implies that the firm will have to use more equity in the future to bring the capital structure back towards the target15. a. Since the company is currently an all-equity firm, its value equals the present value of its unlevered after-tax earnings, discounted at its unlevered cost of capital. The cash flows to shareholders for the unlevered firm are:EBIT $83,000Tax 33,200Net income $49,800So, the value of the company is: V U = $49,800 / .15 = $332,000b. The adjusted present value of a firm equals its value under all-equity financing plus the net present value of any financing side effects. In this case, the NPV of financing side effects equals the after-tax present value of cash flows resulting from debt. Given a known level of debt, debt cash flows should be discounted at the pre-tax cost of debt, so:NPV = Proceeds – Aftertax PV(Interest payments)NPV = $195,000 – (1 – .40)(.09)($195,000) / 0.09 = $78,000So, using the APV method, the value of the company is:APV = V U + NPV(Financing side effects) = $332,000 + 78,000 = $410,000The value of the debt is given, so the value of equity is the value of the company minus the value of the debt, or: S = V – B = $410,000 – 195,000 = $215,000c. According to Modigliani-Miller Proposition II with corporate taxes, the required return of levered equity is:R S = R0 + (B/S)(R0 – R B)(1 – t C)R S = .15 + ($195,000 / $215,000)(.15 – .09)(1 – .40) = .1827 or 18.27%d. In order to value a firm‘s equity using the flow-to-equity approach, we can discount the cash flows available to equity holders at the cost of the firm‘s levered equity. First, we need to calculate the levered cash flows available to shareholders, which are:EBIT $83,000Interest 17,550EBT $65,450Tax 26,180Net income $39,270So, the value of equity with the flow-to-equity method is:S = Cash flows available to equity holders / R S = $39,270 / .1827 = $215,00016.. Since the company is not publicly traded, we need to use the industry numbers to calculate the industry levered return on equity. We can then find the industry unlevered return on equity, and re-lever the industry return on equity to account for the different use of leverage. So, using the CAPM to calculate the industry levered return on equity, we find:R S = R F + β(MRP) = 5% + 1.2(7%) = 13.40%Next, to find the average cost of unlevered equity in the holiday gift industry we can use Modigliani-Miller Proposition II with corporate taxes, so:R S = R0 + (B/S)(R0 – R B)(1 – t C) =.1340 = R0 + (.35)(R0 – .05)(1 – .40)R0 = .1194 or 11.94%Now, we can use the Modigliani-Miller Proposition II with corporate taxes to re-lever the return on equity to account for this company‘s debt-equity ratio. Doing so, we find:R S = R0 + (B/S)(R0 – R B)(1 – t C) = .1194 + (.40)(.1194 – .05)(1 – .40) = .1361 or 13.61% Since the project is financed at the firm‘s target debt-equity ratio, it must be discounted at the company‘s weighted average cost of capital. In a world with corporate taxes, a firm‘s weighted average cost of capital equals: R WACC = [B / (B + S)](1 – t C)R B + [S / (B + S)]R S So, we need the debt-value and equity-value ratios for the company. The debt-equity ratio for the company is: B/S = 0.40 则B = 0.40SSubstituting this in the debt-value ratio, we get: B/V = .40S / (.40S + S) = .40 / 1.40 = .29 And the equity-value ratio is one minus the debt-value ratio, or: S/V = 1 – .29 = .71So, using the capital structure weights, the company‘s WACC is:R WACC = [B / (B + S)](1 – t C)R B + [S / (B + S)]R SR WACC = .29(1 – .40)(.05) + .71(.1361) = .1058 or 10.58%Now we need the project‘s cash flows. The cash flows increase for the first five years before leveling off into perpetuity. So, the cash flows from the project for the next six years are: Year 1 cash flow $80,000.00Year 2 cash flow $84,000.00Year 3 cash flow $88,200.00Year 4 cash flow $92,610.00Year 5 cash flow $97,240.50Year 6 cash flow $97,240.50So, the NPV of the project is:NPV = –$475,000 + $80,000/1.1058 + $84,000/1.1058⌒2 + $88,200/1.1058⌒3 +$92,610/1.1058⌒4 + $97,240.50/1.1058⌒5 + ($97,240.50/.1058)/1.1058⌒5 = $408,125.67。

Cha02罗斯公司理财第九版原版书课后习题

Cha02罗斯公司理财第九版原版书课后习题reported in the financing activity section of the accounting statement of cash flows. When Tyco received payments from customers, the cash inflows were reported as operating cash flows. Another method used by Tyco was to have acquired companies prepay operating expenses. In other words, the company acquired by Tyco would pay vendors for items not yet received. In one case, the payments totaled more than $50 million. When the acquired company was consolidated with Tyco, the prepayments reduced Tyco’s cash outflows, thus increasing the operating cash flows.Dynegy, the energy giant, was accused of engaging in a number of complex “round-trip trades.” The round-trip trades essentially involved the sale of natural resources to a counterparty, with the repurchase of the resources from the same party at the same price. In essence, Dynegy would sell an asset for $100, and immediately repurchase it from the buyer for $100. The problem arose with the treatment of the cash flows from the sale. Dynegy treated the cash from the sale of the asset as an operating cash flow, but classified the repurchase as an investing cash outflow. The total cash flows of the contracts traded by Dynegy in these round-trip trades totaled $300 million.Adelphia Communications was another company that apparently manipulated cash flows. In Adelphia’s case, the company capitalized the labor required to install cable. In other words, the company classified this labor expense as a fixed asset. While this practice is fairly common in the telecommunications industry, Adelphia capitalized a higher percentage of labor than is common. The effect of this classification was that the labor wastreated as an investment cash flow, which increased the operating cash flow.In each of these examples, the companies were trying to boost operating cash flows by shifting cash flows to a different heading. The important thing to notice is that these movements don’t affect the total cash flow of the firm, which is why we recommend focusing on this number, not just operating cash flow.Summary and ConclusionsBesides introducing you to corporate accounting, the purpose of this chapter has been to teach you how to determine cash flow from the accounting statements of a typical company.1. Cash flow is generated by the firm and paid to creditors and shareholders. It can be classifiedas:1. Cash flow from operations.2. Cash flow from changes in fixed assets.3. Cash flow from changes in working capital.2. Calculations of cash flow are not difficult, but they require care and particular attention to detailin properly accounting for noncash expenses such as depreciation and deferred taxes. It is especially important that you do not confuse cash flow with changes in net working capital and net income.Concept Questions1. Liquidity True or false: All assets are liquid at some price. Explain.2. Accounting and Cash Flows Why might the revenue and cost figures shown on a standardincome statement not represent the actual cash inflows andoutflows that occurred during a period?3. Accounting Statement of Cash Flows Looking at the accounting statement of cash flows,what does the bottom line number mean? How useful is this number for analyzing a company? 4. Cash Flows How do financial cash flows and the accounting statement of cash flows differ?Which is more useful for analyzing a company?5. Book Values versus Market Values Under standard accounting rules, it is possible for astoc kholders’ equity of Information Control Corp. one yearago:During the past year, Information Control issued 10 million shares of new stock at a total price of $43 million, and issued $10 million in new long-term debt. The company generated $9 million in net income and paid $2 million in dividends. Construct the current balance sheet reflecting the changes that occurred at Information Control Corp. during the year.8. Cash Flow to Creditors The 2009 balance sheet of Anna’s Tennis Shop, Inc., showed long-term debt of $1.34 million, and the 2010 balance sheet showed long-term debt of $1.39 million.The 2010 income statement showed an interest expense of $118,000. What was the firm’s cash flow to creditors during 2010?9. Cash Flow to Stockholders The 2009 balance sheet of Anna’s Tennis Shop, Inc., showed$430,000 in the common stock account and $2.6 million in the additional paid-in surplus account.The 2010 balance sheet showed $450,000 and $3.05 million in the same two accounts, respectively. If the company paid out $385,000 in cash dividends during 2010, what was the cash flow to stockholders for the year?10. Calculating Cash Flows Given the information for Anna’s Tennis Shop, Inc., in the previoustwo problems, suppose you also know that the firm’s net capital spending for 2010 was $875,000 and that the firmreduced its net working capital investment by $69,000. What was the firm’s 2010 operating cash flow, or OCF?INTERMEDIATE (Questions 11–24)11. Cash Flows Ritter Corporation’s accountants prepared the following financial statements foryear-end 2010:1. Explain the change in cash during 2010.2. Determine the change in net working capital in 2010.3. Determine the cash flow generated by the firm’s assets during 2010.12. Financial Cash Flows The Stancil Corporation provided the following current information:Determine the cash flows from the firm and the cash flows to investors of the firm.13. Building an Income Statement During the year, the Senbet Discount Tire Company hadgross sales of $1.2 million. The firm’s cost of goods sold and selling expenses were $450,000 and $225,000, respectively. Senbet also had notes payable of $900,000. These notes carried an interest rate of 9 percent. Depreciation was $110,000. Senbet’s tax rate was 35 percent.1. What was Senbet’s net income?2. What was Senbet’s operating cash flow?14. Calculating Total Cash Flows Schwert Corp. shows the following information on its 2010income statement: sales = $167,000; costs = $91,000; other expenses = $5,400; depreciation expense = $8,000; interest expense = $11,000; taxes = $18,060; dividends = $9,500. In addition, you’re told that the firm issued $7,250 in new equity during 2010 and redeemed $7,100 in outstanding long-term debt.1. What is the 2010 operating cash flow?2. What is the 2010 cash flow to creditors?3. What is the 2010 cash flow to stockholders?4. If net fixed assets increased by $22,400 during the year, what was the addition to networking capital (NWC)?15. Using Income Statements Given the followingi nformation for O’Hara Marine Co., calculatethe depreciation expense: sales = $43,000; costs = $27,500; addition to retained earnings = $5,300; dividends paid = $1,530;interest expense = $1,900; tax rate = 35 percent.1. What is owners’ equity for 2009 and 2010?2. What is the change in net working capital for 2010?3. In 2010, Weston Enterprises purchased $1,800 in new fixed assets. How much in fixedassets did Weston Enterprises sell? What is the cash flow from assets for the year? (The tax rate is 35 percent.)4. During 2010, Weston Enterprises raised $360 in new long-term debt. How much long-termdebt must Weston Enterprises have paid off during the year? What is the cash flow to creditors?Use the following information for Ingersoll, Inc., for Problems 23 and 24 (assume the tax rate is34 percent):23. Financial Statements Draw up an income statement and balance sheet for this company for2009 and 2010.24. Calculating Cash Flow For 2010, calculate the cash flow from assets, cash flow to creditors,and cash flow to stockholders.CHALLENGE (Questions 25–27)25. Cash Flows You are researching Time Manufacturing and have found the following accountingstatement of cash flows for the most recent year. You also know that the company paid $82 million in current taxes and had an interest expense of $43 million. Use the accounting statement of cash flows to construct the financial statement of cash flows.Nick has also provided the following information: During the year the company raised $118,000 in new long-term debt and retired $98,000 in long-term debt. The company also sold $11,000 in new stock and repurchased $40,000 in stock. The company purchased $786,000 in fixed assets and sold $139,000 in fixed assets.Angus has asked you to prepare the financial statement of cash flows and the accounting statement of cash flows. He has also asked you to answer the following questions:1. How would you describe Warf Computers’ cash flows?2. Which cash flow statement more accurately describes the cash flows at the company?3. In light of your previous answers, comment on Nick’s expansion plans.。

公司理财第九版课后习题答案第二章

公司理财第九版课后习题答案第二章CHAPTER 2FINANCIAL STATEMENTS AND CASH FLOWAnswe rs to Concepts Review and Critical Thinking Questions1. True. Every asset can be converted to cash at some price. However, when we are referring to a liquidasset, the added assumption that the asset can be quickly converted to cash at or near market value is important.2. The recognition and matching principles in financial accounting call for revenues, and the costsassociated with producing those revenues, to be ―booked‖when the revenue process isessentiallycomplete, not necessarily when the cash is collected or bills are paid. Note that this way is notnecessarily correct; it‘s the way accountants have chosen to do it.3. The bottom line number shows the change in the ca sh balanc e on the balance sheet. As such, it is nota use ful number for analyzing a company.4. The major difference is the treatment of interest expense. The accounting statement of cash flowstreats interest as an operating ca sh flow, while the financial ca sh flows treat interest as a financing cash flow. The logic of the accounting statement of cash flows is that since interest appears on the income statement, which shows the operations for the period, it is an operating cash flow. In reality, interest is a financing expense, which results from the company‘s choice of debt and equity. We will have more to say about this in a laterchapter. When compa ring the two c ash flow statements, the financial statement of cash flows is a more appropriate measure of the company‘s performa ncebecause of its treatment of interest.5. Market values can never be negative. Imagine a share of stock selling for –$20. This would meanthat if you placed an order for 100 shares, you would get the stock along with a check for $2,000.How ma ny shares do you want to buy? More generally, because of corpora te andindividualbankruptcy laws, net worth for a person or a corporation cannot be negative, implying that liabilities cannot exceed assets in market value.6. For a successful c ompany that is rapidly expanding, for example, capital outlays will be large,possibly leading to negative c ash flow from assets. In general, what matters is whether the money is spent wisely, not whe ther cash flow from assets is positive or negative.7. It‘s probably not a good sign for an e stablished company to have negative cash flow from operations,but it would be fairly ordinary for a start-up, so it depends.would have this effect. Negative net c apital spending would mea n more long-lived assets wereliquidated than purchased.49.10. If a company raises more money from selling stock than it pays in dividends in a particular period,its cash flow to stockholders will be negative. If a companyborrows more than it pays in interest and principal, its cash flow to creditors will be negative.The adjustments discussed were purely accounting changes; they had no cash flow or market value consequences unless the new accounting information caused stockholders to revalue the derivatives.Solutions to Questions and Proble msNOTE: All end-of-chapter problems were solved using a spreadsheet. Many problems require multiplesteps. Due to space and readability constraints, when these intermediate steps are included in thissolutions manual, rounding may appear to have occurred. However, the final answer for each problem is found without rounding during any step in the problem.Basic1. To find owners‘ equity, we must construct a balance sheet as follows:Balance SheetCA $ 5,300 CL $ 3,900NFA 26,000 LTD 14,200OE ??TA $31,300 TL & OE $31,300We know that total liabilities and owners‘ equity (TL & OE) must equal total assets of $31,300. We also know that TL & OE is equal to current liabilities plus long-term debt plus owner‘s equity, soowner‘s equity is:OE = $31,300 –14,200 – 3,900 = $13,200NWC = CA – CL = $5,300 – 3,900 = $1,4002. The income statement for the company is:Income StatementSales $493,000Costs 210,000Depreciation 35,000EBIT $248,000Interest 19,000EBT $229,000Taxes 80,150Net income $148,8503.4.5.6. One equation for net income is:Net income = Dividends + Addition to retained earningsRearranging, we get:Addition to retained earnings = Net income – Divide ndsAddition to retained earnings = $148,850 – 50,000Addition to retained earnings = $98,850To find the book value of current assets, we use: NWC = CA – CL. Rearranging to solve for current assets, we get:CA = NWC + CL = $800,000 + 2,100,000 = $2,900,000The market value of current assets and net fixed assets is given, so:Book value CA= $2,900,000 Market value CA= $2,800,000Book value NFA = $5,000,000 Market value NFA= $6,300,000 Book value assets = $7,900,000 Market value assets= $9,100,000Taxes = 0.15($50K) + 0.25($25K) + 0.34($25K) + 0.39($246K – 100K)Taxes = $79,190The average tax ra te is the total tax paid divided by net income, so:Average tax rate = $79,190 / $246,000Average tax rate = 32.19%The marginal tax rate is the tax rate on the next $1 of earnings, so the marginal tax ra te = 39%.To calculate OCF, we first need the income state ment:Income StatementSales $14,900Costs 5,800Depreciation 1,300EBIT $7,800Interest 780Taxable income $7,020Taxes 2,808Net income $4,212OCF = EBIT + Depreciation – TaxesOCF = $7,800 + 1,300 – 2,808OCF = $6,292Net capital spending = $1,730,000 – 1,650,000 + 284,000Net capital spending = $364,0007. The long-term debt account will increase by $10 million, the amount of the new long-term debt issue.Since the company sold 10 million new shares of stock with a $1 par value, the common stockaccount will increase by $10 million. The capital surplus account will increase by $33 million, thevalue of the new stoc k sold above its par value. Since the company had a net income of $9million,and pa id $2 million in dividends, the addition to retained earnings was $7 million, which willinc rease the accumulated retained earnings account. So, the new long-term debt a nd stockholders‘ equity portion of the balance sheet will be:Long-term debt $82,000,000Total long-term debt $82,000,000Shareholders equityPreferred stock $9,000,000Common stock ($1 par value) 30,000,000Ac cumulated retained earnings 104,000,000Capital surplus 76,000,000Total equity $ 219,000,000Total Liabilities & Equity $ 301,000,0008.9. Cash flow to creditors = Interest paid – Net new borrowingCash flow to creditors = $118,000 – ($1,390,000 – 1,340,000) Cash flow to creditors = $118,000 – 50,000Cash flow to creditors = $68,000Cash flow to stockholders = Dividends paid – Net new equity Cash flow to stockholders = $385,000 – [(Common+ APIS) –(Common+ APIS)]end end beg beg10. Cash flow to stockholders = $385,000 –[($450,000 + 3,050,000) – ($430,000 + 2,600,000)] Cash flow to stockholders = $385,000 – ($3,500,000 – 3,030,000)Cash flow to stockholders = –$85,000Note, APIS is the additional paid-in surplus.Cash flow from assets= Cash flow to creditors + Cash flow to stockholders= $68,000 – 85,000= –$17,000Cash flow from assets= –$17,000 = OCF – Change in NWC –Net capital spending–$17,000 = OCF – (–$69,000) – 875,000Operating cash flowOperating cash flow= –$17,000 – 69,000 + 875,000= $789,000Cash flow to creditors = $118,000 – (LTD– LTD)11. a. IntermediateThe accounting statement of cash flows explains the change in cash during the year. Theaccounting statement of cash flows will be:Statement of cash flowsOperationsNet income $105Depreciation 90Changes in other current assets (55)Accounts payable (10)Total cash flow from operations $170Investing activitiesAcquisition of fixed assets $(140)Total cash flow from investing activities $(140)Financing activitiesProc eeds of long-term debt $30Dividends (45)Total cash flow from financing activities ($15)Change in cash (on balance sheet) $15b.Change in NWC= NWC e nd– NWC beg= (CA end–CL en d ) – (CA beg–CL be g)c.= [($50 + 155) – 85] – [($35 + 140) – 95)= $120 – 80= $40To find the cash flow generated by the firm‘s assets, we need the operating cash flow, and thecapital spending. So, calculating each of these, we find:Operating cash flowNet income $105Depreciation 90Operating cash flow $195Note that we can calculate OCF in this manner since there a re no taxes.Capital spendingEnding fixed assets Beginning fixed assets DepreciationCapital spending $340 (290)90 $140Now we c an calculate the cash flow gene rated by the firm‘s assets, which is: Cash flow from assetsOperating cash flow Capital spending Change in NWC Cash flow from assets $195 (140) (40) $1512. With the information provided, the cash flows from the firm are the capital spending and the changein net working capital, so:Cash flows from the firmCapital spending $(15,000)Additions to NWC (1,500)Cash flows from the firm $(16,500)And the cash flows to the investors of the firm are:Cash flows to investors of the firmSale of long-term debt (19,000)Sale of common stock (3,000)Dividends paid 19,500Cash flows to investors of the firm $(2,500)13. a.b. The interest expense for the company is the amount of debt times the interest rate on the debt. So, the income statement for the company is:Income StatementSales $1,200,000Cost of goods sold 450,000Selling costs 225,000Depreciation 110,000EBIT $415,000Interest 81,000Taxable income $334,000Taxes 116,900Net income $217,100And the opera ting cash flow is:OCF = EBIT + Depreciation – TaxesOCF = $415,000 + 110,000 – 116,900OCF = $408,10014. To find the OCF, we first calculate net income.Income StatementSales $167,000Costs 91,000Depreciation 8,000Other expe nses 5,400EBIT $62,600Interest 11,000Taxable income $51,600Taxes18,060Net income $33,540Dividends $9,500Additions to RE $24,040a.OCF = EBIT + Depreciation – TaxesOCF = $62,600 + 8,000 – 18,060OCF = $52,540b.CFC = Interest – Net new LTDCFC = $11,000 – (–$7,100)CFC = $18,100Note that the net new long-term debt is negative because the compa ny repaid part of its long-term debt.c.CFS = Dividends – Net new equityCFS = $9,500 – 7,250CFS = $2,250d.We know that CFA = CFC + CFS, so:CFA = $18,100 + 2,250 = $20,350CFA is also equal to OCF – Net capital spending – Change in NWC. We already know OCF.Net capital spending is equal to:Net capital spending = Increase in NFA + De preciationNet capital spending = $22,400 + 8,000Net capital spending = $30,400Now we c an use:CFA = OCF – Net capital spending – Change in NWC$20,350 = $52,540 – 30,400 – Change in NWC.Solving for the change in NWC gives $1,790, me aning the company increased its NWC by$1,790.15. The solution to this question works the income statement backwards. Starting at the bottom:Net income = Dividends + Addition to ret. earningsNet income = $1,530 + 5,300Net income = $6,830Now, looking at the income statement:EBT –(EBT × Tax rate) = Net incomeRecognize that EBT × tax rate is simply the calculation for ta xes. Solving this for EBT yields: EBT = NI / (1– Tax rate) EBT = $6,830 / (1 – 0.65)EBT = $10,507.69Now we can calculate:EBIT = EBT + InterestEBIT = $10,507.69 + 1,900EBIT = $12,407.69The last step is to use:EBIT = Sales – Costs – Depreciation$12,407.69 = $43,000 – 27,500 – DepreciationDepreciation = $3,092.31Solving for depreciation, we find that depreciation = $3,092.3116. The balance sheet for the company looks like this:Balance SheetCash $183,000 Accounts payableAc counts receivable 138,000 Notes payableInventory 297,000 Current liabilitiesCurrent assets $618,000 Long-term debtTotal liabilities Tangible net fixed assets 3,200,000Intangible net fixed assets 695,000 Common stockAccumulated ret. earnings Total assets $4,513,000 Total liab. & owners‘ equity Total liabilities and owners‘ equity is: TL & OE = T otal debt + Common stock + Accumulated retained earnings Solving for this equation for equity gives us: Common stock = $4,513,000 – 1,960,000 – 2,160,000Common stock = $393,000$465,000145,000 $610,000 1,550,000 $2,160,0001,960,000 $4,513,00017.18.19. The market value of shareholders‘ equity canno t be negative. A negative market value in this casewould imply that the company would pay you to own the stock. The market value of sha reholders‘ equity can be stated as: Shareholders‘ equity = Max [(TA –TL), 0]. So, if TA is $9,700, equity isequal to $800, and if TA is $6,800, e quity is equal to $0. We should note here that while the market value of equity cannot be negative, the book value of shareholders‘ equity can be negative.a.Taxes Growth= 0.15($50K) + 0.25($25K) + 0.34($3K) = $14,770Taxes Income= 0.15($50K) + 0.25($25K) + 0.34($25K) + 0.39($235K) + 0.34($7.465M)= $2,652,000b. Each firm has a marginal tax rate of 34% on the next$10,000 of taxa ble income, despite theirdifferent average ta x rates, so both firms will pay an additional $3,400 in taxes.Income State mentSales $740,000COGS 610,000A&S expenses 100,000Depreciation 140,000EBIT ($115,000)Interest 70,000Taxable income ($185,000)Taxes (35%) 0/doc/5b4332add1f34693daef3eb1.html income ($185,000)b.OCF = EBIT + Depreciation – TaxesOCF = ($115,000) + 140,000 – 0OCF = $25,00020.21. c. Net income was negative because of the tax deductibility of depreciation and interest expense.However, the actual cash flow from operations wa s positive because de preciation is a non-cashexpense and interest is a financing expense, not an operating expense.A firm can still pay out dividends if net income is negative; it just has to be sure there is sufficientcash flow to make the dividend payments.Change in NWC = Net ca pital spending = Net new equity = 0. (Given)Cash flow from assets = OCF – Change in NWC – Net capitalspendingCash flow from assets = $25,000 – 0 – 0 = $25,000Cash flow to stockholders = Divide nds – Net new equityCash flow to stockholders = $30,000 – 0 = $30,000Cash flow to creditors = Cash flow from assets – Cash flow to stockholdersCash flow to creditors = $25,000 – 30,000Cash flow to creditors = –$5,000Cash flow to creditors is also:Cash flow to creditors = Interest – Net new LTDSo:Net new LTD = Interest – Cash flow to creditorsNet new LTD = $70,000 – (–5,000)Net new LTD = $75,000a. The income statement is:Income StatementSales $15,300Cost of good sold 10,900Depreciation 2,100EBIT $ 2,300Interest 520Taxable income $ 1,780Taxes712Net income $1,068b.OCF= EBIT + Depreciation – TaxesOCF = $2,300 + 2,100 – 712OCF = $3,688c. Change in NWC=NWC end– NWC beg= (CA end–CL en d ) – (CA beg–CL be g)22.= ($3,950 – 1,950) – ($3,400 – 1,900)= $2,000 – 1,500 = $500Ne t capital spending= NFA end– NFA beg+ Depreciation= $12,900 – 11,800 + 2,100= $3,200CFA= OCF – Change in NWC – Net capital spending= $3,688 – 500 – 3,200= –$12The cash flow from assets can be positive or ne gative, since it represents whether the firm raisedfunds or distributed funds on a net basis. In this problem, even though net income and OCF arepositive, the firm invested heavily in both fixed assets and net working capital; it had to raise a net $12 in funds from its stockholders and creditors to make these investments.d. Ca sh flow to creditors= Interest – Net new LTD= $520 – 0= $520Ca sh flow to stoc kholders = Cash flow from assets – Cash flow to creditors= –$12 – 520= –$532We can also calculate the cash flow to stockholders as:Ca sh flow to stoc kholders = Dividends – Ne t new equity Solving for net new equity, we get:Net new equity= $500 – (–532)= $1,032The firm had positive earnings in an accounting sense (NI > 0) and had positive cash flow fromoperations. The firm invested $500 in new net working capital and $3,200 in new fixed assets. The firm had to raise $12 from its stakeholders to support this new inve stment. It accomplished this by raising $1,032 in the form of new equity. After paying out $500 of this in the form of dividends to shareholders and $520 in the form of interest to creditors, $12 was left to meet the firm‘s ca sh flow needs for investment.a. Total assets 2009= $780 + 3,480 = $4,260Total liabilities 2009= $318 + 1,800 = $2,118Owners‘ equity 2009 = $4,260 – 2,118 = $2,142Total assets 2010= $846 + 4,080 = $4,926Total liabilities 2010= $348 + 2,064 = $2,412Owners‘ equity 2010= $4,926 – 2,412 = $2,51414b. NWC 2009NWC 2010Change in NWC = CA09 – CL09 = $780 – 318 = $462= CA10 – CL10 = $846 – 348 = $498= NWC10 – NWC09 = $498 – 462 = $36c.d. We can calculate net capital spe nding as:Net capital spending = Net fixed assets 2010 –Net fixed assets 2009 + Deprec iationNet capital spending = $4,080 – 3,480 + 960Net capital spending = $1,560So, the company had a net capital spending cash flow of$1,560. We also know that net capital spending is:Net capital spending = Fixed assets bought –Fixed assets sold$1,560= $1,800 – Fixed assets soldFixed assets sold= $1,800 – 1,560 = $240To c alculate the cash flow from assets, we must first calculate the operating cash flow. Theoperating cash flow is calculated as follows (you can also prepare a traditional incomestatement):EBIT = Sales – Costs – DepreciationEBIT = $10,320 – 4,980 – 960EBIT = $4,380EBT = EBIT – InterestEBT = $4,380 – 259EBT = $4,121Taxes = EBT ? .35Taxes = $4,121 ? .35Taxes = $1,442OCF = EBIT + Depreciation – TaxesOCF = $4,380 + 960 – 1,442OCF = $3,898Ca sh flow from a ssets = OCF – Change in NWC – Net capital spending.Ca sh flow from a ssets = $3,898 – 36 – 1,560Ca sh flow from a ssets = $2,302Net new borrowing = LTD10 – LTD09Net new borrowing = $2,064 – 1,800Net new borrowing = $264Ca sh flow to creditors = Interest – Net ne w LTDCa sh flow to creditors = $259 – 264Ca sh flow to creditors = –$5Net new borrowing = $264 = Debt issue d – Debt retired Debt retired = $360 – 264 = $9623.CashAccounts receivable InventoryCurrent assetsNet fixed assets Total assetsCashAccounts receivable InventoryCurrent assetsNet fixed assets Total assets Balance sheet as of Dec. 31, 2009 $2,739 Accounts payable3,626 Notes payable6,447 Current liabilities$12,812Long-term debt$22,970 Owners' equity$35,782 Total liab. & equityBalance sheet as of Dec. 31, 2010$2,802Accounts payable4,085 Notes payable6,625Current liabilities$13,512Long-term debt$23,518Owners' equity$37,030Total liab. & equity$2,877529$3,406$9,173$23,203$35,782$2,790497$3,287$10,702$23,041$37,03024.2009 Income StatementSales $5,223.00COGS 1,797.00Othe r expenses 426.00Depreciation 750.00EBIT $2,250.00Interest 350.00EBT $1,900.00Taxes646.00Net income $1,254.00Dividends $637.00Additions to RE 617.00OCF = EBIT + Depreciation – TaxesOCF = $2,459 + 751 – 699.38OCF = $2,510.62Change in NWC = NWC end– NWC beg= (CA – CL)end 2010 Income StatementSales $5,606.00COGS 2,040.00Other expense s 356.00Depreciation 751.00EBIT $2,459.00Interest 402.00EBT $2,057.00Taxes699.38Net income $1,357.62Dividends $701.00Additions to RE 656.62– (CA – CL)begChange in NWC = ($13,512 – 3,287) – ($12,812 – 3,406)Change in NWC = $819Net capital spending = $23,518 – 22,970 + 751Net capital spending = $1,299Net capital spending = NFA– NFA+ Depreciation25. Cash flow from assets = OCF –Change in NWC –Net capital spendingCash flow from assets = $2,510.62 – 819 – 1,299Cash flow from assets = $396.62Cash flow to creditors = Interest – Net new LTDNet new LTD = LTD end– LTD begCash flow to creditors = $402 – ($10,702 – 9,173)Cash flow to creditors = –$1,127Common stock + Retained earnings = Total owners‘ equity Net new equity = (OE – RE)end– (OE – RE)begRE end= RE beg+ Additions to RENet new equity = $23,041 – 23,203 – 656.62 = –$818.62Cash flow to stockholders = Dividends – Net new equityCash flow to stockholders = $701 – (–$818.62)Cash flow to stockholders = $1,519.62As a check, ca sh flow from assets is $396.62.Cash flow from assets = Cash flow from creditors + Cash flow to stockholdersCash flow from assets = –$1,127 + 1,519.62Cash flow from assets = $392.62ChallengeWe will begin by calculating the operating cash flow. First, we need the EBIT, which c an becalculated as:EBIT = Net income + Current taxes + Deferred taxes + Inte restEBIT = $144 + 82 + 16 + 43EBIT = $380Now we can calculate the operating cash flow as:Operating cash flowEarnings before interest and taxes $285Depreciation 78Current taxes (82)Operating cash flow $281Net new equity = Common stock– Common stockNet new equity = OE– OE+ RE– RE∴ Net new equity= OE– OE+ RE– (RE+ Additions to RE)= OE– OE– Additions to REThe cash flow from assets is found in the investing activities portion of the accounting statement of cash flows, so: Cash flow from assetsAcquisition of fixed a ssets $148Sale of fixed assets (19)Capital spending $129The net working capital cash flows are all found in theoperations cash flow section of theaccounting statement of cash flows. However, instead of c alculating the net working capital cashflows as the change in net working capital, we must calculate each item individually. Doing so, wefind:Net working capital cash flowCash $42Accounts receivable 15Inventories (18)Accounts payable (14)Accrued expenses 7Notes payable (5)Other (2)NWC cash flow $25Except for the interest expense and note s payable, the ca sh flow to creditors is found in the financing activities of the accounting statement of cash flows. The inte rest expense from the income statementis given, so:Cash flow to creditorsInterest $43Retirement of debt 135Debt service $178Proceeds from sale of long-term debt (97)Total $81And we can find the cash flow to stockholders in the financing se ction of the accounting stateme nt of cash flows. The cash flow to stockholders was:Cash flow to stockholdersDividends $ 72Repurchase of stock 11Cash to stockholders $ 83Proceeds from new stock issue(37)Total $ 4626. Net capital spending= (NFA– NFA + Depreciation) + (Depreciation + AD) – AD= (NFA+ AD) – (NFA+ ADbeg) =FAbeg– FAend end beg beg end beg27. a.b.c. The tax bubble causes average tax rates to catch up to marginal tax rates, thus eliminating the tax advantage of low marginal rates for high inc ome corporations.Assuming a taxable income of $335,000, the taxes will be:Taxes = 0.15($50K) + 0.25($25K) + 0.34($25K) + 0.39($235K) = $113.9KAverage tax rate = $113.9K / $335K = 34%The marginal tax rate on the next dollar of income is 34 percent.For corporate taxable income levels of $335K to $10M, average tax rates are equal to marginal tax rates.Taxes = 0.34($10M) + 0.35($5M) + 0.38($3.333M) = $6,416,667Average tax rate = $6,416,667 / $18,333,334 = 35%The marginal tax rate on the ne xt dollar of income is 35 percent. For corporate taxable income levels over $18,333,334, ave rage tax rates are again e qual to marginal tax rates.Taxes= 0.34($200K) = $68K = 0.15($50K) + 0.25($25K) + 0.34($25K) + X($100K);X($100K)= $68K – 22.25K = $45.75KX= $45.75K / $100KX= 45.75%=NFA– NFAend= (NFAbeg– NFA)+ AD– AD。

Cha03 罗斯公司理财第九版原版书课后习题

1. We explained that differences in firm size make it difficult to compare financial statements, andwe discussed how to form common-size statements to make comparisons easier and more meaningful.2. Evaluating ratios of accounting numbers is another way of comparing financial statementinformation. We defined a number of the most commonly used ratios, and we discussed the famous Du Pont identity.3. We showed how pro forma financial statements can be generated and used to plan for futurefinancing needs.After you have studied this chapter, we hope that you have some perspective on the uses and abuses of financial statement information. You should also find that your vocabulary of business and financial terms has grown substantially.Concept Questions1. Financial Ratio Analysis A financial ratio by itself tells us little about a company becausefinancial ratios vary a great deal across industries. There are two basic methods for analyzing financial ratios for a company: Time trend analysis and peer group analysis. In time trend analysis, you find the ratios for the company over some period, say five years, and examine how each ratio has changed over this period. In peer group analysis, you compare a company’s financial ratios to those of its peers. Why might each of these analysis methods be useful? What does each tell you about the company’s financial health?2. Industry-Specific Ratios So-called “same-store sales” are a very important measure forcompanies as diverse as McDonald’s and Sears. As the name suggests, examining same-store sales means comparing revenues from the same stores or restaurants at two different points in time.Why might companies focus on same-store sales rather than total sales?3. Sales Forecast Why do you think most long-term financial planning begins with salesforecasts? Put differently, why are future sales the key input?4. Sustainable Growth In the chapter, we used Rosengarten Corporation to demonstrate how tocalculate EFN. The ROE for Rosengarten is about 7.3 percent, and the plowback ratio is about 67 percent. If you calculate the sustainable growth rate for Rosengarten, you will find it is only 5.14 percent. In our calculation for EFN, we used a growth rate of 25 percent. Is this possible? (Hint: Yes. How?)5. EFN and Growth Rate Broslofski Co. maintains a positive retention ratio and keeps its debt–equity ratio constant every year. When sales grow by 20 percent, the firm has a negative projected EFN. What does this tell you about the firm’s sustainable growth rate? Do you know, with certainty, if the internal growth rate is greater than or less than 20 percent? Why? What happens to the projected EFN if the retention ratio is increased? What if the retention ratio is decreased? What if the retention ratio is zero?6. Common-Size Financials One tool of financial analysis is common-size financial statements.Why do you think common-size income statements and balance sheets are used? Note that the accounting statement of cash flows is not converted into a common-size statement. Why do you think this is?7. Asset Utilization and EFN One of the implicit assumptions we made in calculating theexternal funds needed was that the company was operating at full capacity. If the company is operating at less than full capacity, how will this affect the external funds needed?8. Comparing ROE and ROA Both ROA and ROE measure profitability. Which one is more usefulfor comparing two companies? Why?9. Ratio Analysis Consider the ratio EBITD/Assets. What does this ratio tell us? Why might it bemore useful than ROA in comparing two companies?Assets and costs are proportional to sales. Debt and equity are not. A dividend of $1,841.40 was paid, and Martin wishes to maintain a constant payout ratio. Next year’s sales are projected to be $30,960. What external financing is needed?5. Sales and Growth The most recent financial statements for Fontenot Co. are shown here:Assets and costs are proportional to sales. The company maintains a constant 30 percent dividend payout ratio and a constant debt–equity ratio. What is the maximum increase in sales that can be sustained assuming no new equity is issued?6. Sustainable Growth If the Layla Corp. has a 15 percent ROE and a 10 percent payout ratio,what is its sustainable growth rate?7. Sustainable Growth Assuming the following ratios are constant, what is the sustainablegrowth rate?Total asset turnover = 1.90Profit margin = 8.1%Equity multiplier = 1.25Payout ratio = 30%8. Calculating EFN The most recent financial statements for Bradley, Inc., are shown here(assuming no income taxes):Assets and costs are proportional to sales. Debt and equity are not. No dividends are paid. Next year’s sales are projected to be $6,669. What is the external financing needed?9. External Funds Needed Cheryl Colby, CFO of Charming Florist Ltd., has created the firm’s proforma balance sheet for the next fiscal year. Sales are projected to grow by 10 percent to $390 million. Current assets, fixed assets, and short-term debt are 20 percent, 120 percent, and 15 percent of sales, respectively. Charming Florist pays out 30 percent of its net income in dividends.The company currently has $130 million of long-term debt and $48 million in common stock par value. The profit margin is 12 percent.1. Construct the current balance sheet for the firm using the projected sales figure.2. Based on Ms. Colby’s sales growth forecast, how much does Charming Florist need inexternal funds for the upcoming fiscal year?3. Construct the firm’s pro forma balance sheet for the next fiscal year and confirm theexternal funds needed that you calculated in part (b).10. Sustainable Growth Rate The Steiben Company has an ROE of 10.5 percent and a payoutratio of 40 percent.1. What is the company’s sustainable growth rate?2. Can the company’s actual growth rate be different from its sustainable growth rate? Whyor why not?3. How can the company increase its sustainable growth rate?INTERMEDIATE (Questions 11–23)11. Return on Equity Firm A and Firm B have debt–total asset ratios of 40 percent and 30percent and returns on total assets of 12 percent and 15 percent, respectively. Which firm has a greater return on equity?12. Ratios and Foreign Companies Prince Albert Canning PLC had a net loss of £15,834 on salesof £167,983. What was the company’s profit margin? Does the fact that these figures are quoted ina foreign currency make any difference? Why? In dollars, sales were $251,257. What was the netloss in dollars?13. External Funds Needed The Optical Scam Company has forecast a 20 percent sales growthrate for next year. The current financial statements are shown here:1. Using the equation from the chapter, calculate the external funds needed for next year.2. Construct the firm’s pro forma balance sheet for next year and confirm the external fundsneeded that you calculated in part (a).3. Calculate the sustainable growth rate for the company.4. Can Optical Scam eliminate the need for external funds by changing its dividend policy?What other options are available to the company to meet its growth objectives?14. Days’ Sales in Receivables A company has net income of $205,000, a profit margin of 9.3percent, and an accounts receivable balance of $162,500. Assuming 80 percent of sales are on credit, what is the company’s days’ sales in receivables?15. Ratios and Fixed Assets The Le Bleu Company has a ratio of long-term debt to total assets of.40 and a current ratio of 1.30. Current liabilities are $900, sales are $5,320, profit margin is 9.4 percent, and ROE is 18.2 percent. What is the amount of the firm’s net fixed assets?16. Calculating the Cash Coverage Ratio Titan Inc.’s net income for the most recent year was$9,450. The tax rate was 34 percent. The firm paid $2,360 in total interest expense and deducted $3,480 in depreciation expense. What was Titan’s cash coverage ratio for the year?17. Cost of Goods Sold Guthrie Corp. has current liabilities of $270,000, a quick ratio of 1.1,inventory turnover of 4.2, and a current ratio of 2.3. What is the cost of goods sold for the company?18. Common-Size and Common–Base Year Financial Statements In addition to common-size financial statements, common–base year financial statements are often used. Common–base year financial statements are constructed by dividing the current year account value by the base year account value. Thus, the result shows the growth rate in the account. Using the following financial statements, construct the common-size balance sheet and common–base year balance sheet for the company. Use 2009 as the base year.Use the following information for Problems 19, 20, and 22:The discussion of EFN in the chapter implicitly assumed that the company was operating at full capacity. Often, this is not the case. For example, assume that Rosengarten was operating at 90 percent capacity. Full-capacity sales would be $1,000/.90 = $1,111. The balance sheet shows $1,800 in fixed assets. The capital intensity ratio for the company isCapital intensity ratio = Fixed assets/Full-capacity sales = $1,800/$1,111 = 1.62This means that Rosengarten needs $1.62 in fixed assets for every dollar in sales when it reaches full capacity. At the projected sales level of $1,250, it needs $1,250 × 1.62 = $2,025 infixed assets, which is $225 lower than our projection of $2,250 in fixed assets. So, EFN is only $565– 225 = $340.19. Full-Capacity Sales Thorpe Mfg., Inc., is currently operating at only 85 percent of fixed assetcapacity. Current sales are $630,000. How much can sales increase before any new fixed assets are needed?20. Fixed Assets and Capacity Usage For the company in the previous problem, suppose fixedassets are $580,000 and sales are projected to grow to $790,000. How much in new fixed assets are required to support this growth in sales?21. Calculating EFN The most recent financial statements for Moose Tours, Inc., appear below.Sales for 2010 are projected to grow by 20 percent. Interest expense will remain constant; the tax rate and the dividend payout rate will also remain constant. Costs, other expenses, current assets, fixed assets, and accounts payable increase spontaneously with sales. If the firm is operating at full capacity and no new debt or equity is issued, what external financing is needed to support the 20 percent growth rate in sales?22. Capacity Usage and Growth In the previous problem, suppose the firm was operating at only80 percent capacity in 2009. What is EFN now?23. Calculating EFN In Problem 21, suppose the firm wishes to keep its debt–equity ratioconstant. What is EFN now?CHALLENGE (Questions 24–30)24. EFN and Internal Growth Redo Problem 21 using sales growth rates of 15 and 25 percent inaddition to 20 percent. Illustrate graphically the relationship between EFN and the growth rate, and use this graph to determine the relationship between them.25. EFN and Sustainable Growth Redo Problem 23 using sales growth rates of 30 and 352. Ratio Analysis Find and download the “Profitability” spreadsheet for Southwest Airlines (LUV)and Continental Airlines (CAL). Find the ROA (Net ROA), ROE (Net ROE), PE ratio (P/E—high and P/E—low), and the market-to-book ratio (Price/Book—high and Price/Book—low) for each company. Because stock prices change daily, PE and market-to-book ratios are often reported as the highest and lowest values over the year, as is done in this instance. Look at these ratios for both companies over the past five years. Do you notice any trends in these ratios? Which company appears to be operating at a more efficient level based on these four ratios? If you were going to invest in an airline, which one (if either) of these companies would you choose based on this information? Why?3. Sustainable Growth Rate Use the annual income statements and balance sheets under the“Excel Analytics” link to calculate the sustainable growth rate for Coca-Cola (KO) each year for the past four years. Is the sustainable growth rate the same for every year? What are possible reasons the sustainable growth rate may vary from year to year?4. External Funds Needed Look up Black & Decker (BDK). Under the “Financial Highlights” linkyou can find a five-year growth rate for sales. Using this growth rate and the most recent income statement and balance sheet, compute the external funds needed for BDK next year.Mini Case: RATIOS AND FINANCIAL PLANNING AT EAST COAST YACHTSDan Ervin was recently hired by East Coast Yachts to assist the company with its short-term financial planning and also to evaluate the company’s financial performance. Dan graduated from college five years ago with a finance degree, and he has been employed in the treasury department of a Fortune 500 company since then.East Coast Yachts was founded 10 years ago by Larissa Warren. The company’s operations are located near Hilton Head Island, South Carolina, and the company is structured as an LLC. The company has manufactured custom midsize, high-performance yachts for clients over this period, and its products have received high reviews for safety and reliability. The company’s yachts have also recently received the highest award for customer satisfaction. The yachts are primarily purchased by wealthy individuals for pleasure use. Occasionally, a yacht is manufactured for purchase by a company for business purposes.The custom yacht industry is fragmented, with a number of manufacturers. As with any industry, there are market leaders, but the diverse nature of the industry ensures that no manufacturer dominates the market. The competition in the market, as well as the product cost, ensures that attention to detail is a necessity. For instance, East Coast Yachts will spend 80 to 100 hours on hand-buffing the stainless steel stem-iron, which is the metal cap on the yacht’s bow that conceivably could collide with a dock or another boat.To get Dan started with his analyses, Larissa has provided the following financial statements. Dan has gathered the industry ratios for the yacht manufacturing industry.1. Calculate all of the ratios listed in the industry table for East Coast Yachts.2. Compare the performance of East Coast Yachts to the industry as a whole. For each ratio,comment on why it might be viewed as positive or negative relative to the industry. Suppose you create an inventory ratio calculated as inventory divided by current liabilities. How do you interpret this ratio? How does East Coast Yachts compare to the industry average?3. Calculate the sustainable growth rate of East Coast Yachts. Calculate external funds needed(EFN) and prepare pro forma income statements and balance sheets assuming growth at precisely this rate. Recalculate the ratios in the previous question. What do you observe?4. As a practical matter, East Coast Yachts is unlikely to be willing to raise external equity capital,in part because the owners don’t want to dilute their existing ownership and control positions.However, East Coast Yachts is planning for a growth rate of 20 percent next year. What are your conclusions and recommendations about the feasibility of East Coast’s expansion plans?5. Most assets can be increased as a percentage of sales. For instance, cash can be increased byany amount. However, fixed assets often must be increased in specific amounts because it is impossible, as a practical matter, to buy part of a new plant or machine. In this case a company has a “staircase” or “lumpy” fixed cost structure. Assume that East Coast Yachts is currently producing at 100 percent of capacity. As a result, to expand production, the company must set up an entirely new line at a cost of $30 million. Calculate the new EFN with this assumption. What does this imply about capacity utilization for East Coast Yachts next year?。

罗斯公司理财精要版9光盘各章习题

====Word行业资料分享--可编辑版本--双击可删====附录B各章习题及部分习题答案APPENDIX B目录Contents第一部分公司理财概览第三部分未来现金流量估价第1章公司理财导论3 第5章估价导论：货币的时间价值39 概念复习和重要的思考题 4 本章复习与自测题40微型案例麦吉糕点公司 5 本章复习与自测题解答40第2章财务报表、税和现金流量6 概念复习和重要的思考题40 本章复习与自测题7 思考和练习题41本章复习与自测题解答7 第6章贴现现金流量估价43概念复习和重要的思考题8 本章复习与自测题44思考和练习题9 本章复习与自测题解答44微型案例Sunset Boards公司的现金流量和概念复习和重要的思考题46财务报表13 思考和练习题4652第二部分财务报表与长期财务计划微型案例读MBA的决策第7章利率和债券估价54第3章利用财务报表17 本章复习与自测题55本章复习与自测题18 本章复习与自测题解答55本章复习与自测题解答19 概念复习和重要的思考题55概念复习和重要的思考题20 思考和练习题56思考和练习题21 微型案例基于债券发行的S&S飞机公司的微型案例针对S&S飞机公司的财务比率扩张计划59分析24 第8章股票估价60第4章长期财务计划与增长27 本章复习与自测题61本章复习与自测题28 本章复习与自测题解答61本章复习与自测题解答28 概念复习和重要的思考题61概念复习和重要的思考题29 思考和练习题62思考和练习题30 微型案例Ragan公司的股票估价64微型案例S&S飞机公司的比率与财务计划35III第四部分资本预算第9章净现值与其他投资准绳69 第六部分资本成本与长期财务政策第14章资本成本111本章复习与自测题70 本章复习与自测题112本章复习与自测题解答概念复习和重要的思考题7071本章复习与自测题解答概念复习和重要的思考题112112思考和练习题73 思考和练习题113第10章资本性投资决策77 第15章筹集资本117 本章复习与自测题78 本章复习与自测题118本章复习与自测题解答概念复习和重要的思考题7880本章复习与自测题解答概念复习和重要的思考题118118思考和练习题80 思考和练习题120微型案例贝壳共和电子公司（一）85 微型案例S&S飞机公司的上市121 第11章项目分析与评估86 第16章财务杠杆和资本结构政策123 本章复习与自测题87 本章复习与自测题124本章复习与自测题解答概念复习和重要的思考题8787本章复习与自测题解答概念复习和重要的思考题124124思考和练习题88 思考和练习题125微型案例贝壳共和电子公司（二）第五部分风险与报酬第12章资本市场历史的一些启示95 91 微型案例斯蒂芬森房地产公司的资本重组127第17章股利和股利政策129概念复习和重要的思考题130本章复习与自测题96 思考和练习题130本章复习与自测题解答概念复习和重要的思考题思考和练习题97 9696微型案例电子计时公司133第七部分短期财务计划与管理微型案例S&S飞机公司的职位99 第18章短期财务与计划137第13章报酬、风险与证券市场线101 本章复习与自测题138 本章复习与自测题102 本章复习与自测题解答138本章复习与自测题解答概念复习和重要的思考题102103概念复习和重要的思考题139思考和练习题140思考和练习题104 微型案例Piepkorn制造公司的营运成本管微型案例高露洁棕榄公司的值108 理145IV第19章现金和流动性管理147本章复习与自测题148本章复习与自测题解答148概念复习和重要的思考题148思考和练习题149微型案例Webb公司的现金管理150 第20章信用和存货管理151本章复习与自测题152本章复习与自测题解答152概念复习和重要的思考题152思考和练习题153微型案例豪利特实业公司的信用政策155第八部分公司理财专题第21章国际公司理财159本章复习与自测题160本章复习与自测题解答160概念复习和重要的思考题160思考和练习题161微型案例S&S飞机公司的国际化经营163 部分习题答案165PART 1第一部分公司理财概览====Word行业资料分享--可编辑版本--双击可删====第1章公司理财导论CHAPTER 14附录概念复习和重要的思考题1.财务管理决策过程财务管理决策有哪三种类型？就每一种类型，举出一个相关的企业交易实例。

公司理财罗斯第九版课后答案

公司理财罗斯第九版课后答案【篇一：罗斯公司理财第九版课后习题答案中文版】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。

7.其他国家的代理问题并不严重,主要取决于其他国家的私人投资者占比重较小。

较少的私人投资者能减少不同的企业目标。

高比重的机构所有权导致高学历的股东和管理层讨论决策风险项目。

此外,机构投资者比私人投资者可以根据自己的资源和经验更好地对管理层实施有效的监督机制。

8.大型金融机构成为股票的主要持有者可能减少美国公司的代理问题，形成更有效率的公司控制权市场。

但也不一定能。

如果共同基金或者退休基金的管理层并不关心的投资者的利益，代理问题可能仍然存在,甚至有可能增加基金和投资者之间的代理问题。

9.就像市场需求其他劳动力一样，市场也需求首席执行官，首席执行官的薪酬是由市场决定的。

公司理财第九版课后习题答案(英文)(上册)

Solutions ManualCorporate FinanceRoss, Westerfield, and Jaffe9th editionCHAPTER 1INTRODUCTION TO CORPORATE FINANCEAnswers to Concept Questions1. In the corporate form of ownership, the shareholders are the owners of the firm. The shareholderselect the directors of the corporation, who in turn appoint the firm‘s management. This separation of ownership from control in the corporate form of organization is what causes agency problems to exist. Management may act in its own or someone else‘s best interests, rather than those of the shareholders. If such events occur, they may contradict the goal of maximizing the share price of the equity of the firm.2.Such organizations frequently pursue social or political missions, so many different goals areconceivable. One goal that is often cited is revenue minimization; i.e., provide whatever goods and services are offered at the lowest possible cost to society. A better approach might be to observe that even a not-for-profit business has equity. Thus, one answer is that the appropriate goal is to maximize the value of the equity.3.Presumably, the current stock value reflects the risk, timing, and magnitude of all future cash flows,both short-term and long-term. If this is correct, then the statement is false.4.An argument can be made either way. At the one extreme, we could argue that in a market economy,all of these things are priced. There is thus an optimal level of, for example, ethical and/or illegal behavior, and the framework of stock valuation explicitly includes these. At the other extreme, we could argue that these are non-economic phenomena and are best handled through the political process. A classic (and highly relevant) thought question that illustrates this debate goes something like this: ―A firm has estimated that the cost of improving the safety of one of its products is $30 million. However, the firm believes that improving the safety of the product will only save $20 million in product liability claims. What s hould the firm do?‖5.The goal will be the same, but the best course of action toward that goal may be different because ofdiffering social, political, and economic institutions.6.The goal of management should be to maximize the share price for the current shareholders. Ifmanagement believes that it can improve the profitability of the firm so that the share price will exceed $35, then they should fight the offer from the outside company. If management believes that this bidder or other unidentified bidders will actually pay more than $35 per share to acquire the company, then they should still fight the offer. However, if the current management cannot increase the value of the firm beyond the bid price, and no other higher bids come in, then management is not acting in the interests of the shareholders by fighting the offer. Since current managers often lose their jobs when the corporation is acquired, poorly monitored managers have an incentive to fight corporate takeovers in situations such as this.7.We would expect agency problems to be less severe in other countries, primarily due to the relativelysmall percentage of individual ownership. Fewer individual owners should reduce the number of diverse opinions concerning corporate goals. The high percentage of institutional ownership might lead to a higher degree of agreement between owners and managers on decisions concerning risky projects. In addition, institutions may be better able to implement effective monitoring mechanisms on managers than can individual owners, based on the institutions‘ deeper resources and experiences with their own management.8.The increase in institutional ownership of stock in the United States and the growing activism ofthese large shareholder groups may lead to a reduction in agency problems for U.S. corporations anda more efficient market for corporate control. However, this may not always be the case. If themanagers of the mutual fund or pension plan are not concerned with the interests of the investors, the agency problem could potentially remain the same, or even increase since there is the possibility of agency problems between the fund and its investors.9. How much is too much? Who is worth more, Ray Irani or Tiger Woods? The simplest answer is thatthere is a market for executives just as there is for all types of labor. Executive compensation is the price that clears the market. The same is true for athletes and performers. Having said that, one aspect of executive compensation deserves comment. A primary reason executive compensation has grown so dramatically is that companies have increasingly moved to stock-based compensation.Such movement is obviously consistent with the attempt to better align stockholder and management interests. In recent years, stock prices have soared, so management has cleaned up. It is sometimes argued that much of this reward is simply due to rising stock prices in general, not managerial performance. Perhaps in the future, executive compensation will be designed to reward only differential performance, i.e., stock price increases in excess of general market increases.10. Maximizing the current share price is the same as maximizing the future share price at any futureperiod. The value of a share of stock depends on all of the future cash flows of company. Another way to look at this is that, barring large cash payments to shareholders, the expected price of the stock must be higher in the future than it is today. Who would buy a stock for $100 today when the share price in one year is expected to be $80?CHAPTER 2FINANCIAL STATEMENTS AND CASH FLOWAnswers to Concepts Review and Critical Thinking Questions1.True. Every asset can be converted to cash at some price. However, when we are referring to a liquidasset, the added assumption that the asset can be quickly converted to cash at or near market value is important.2.The recognition and matching principles in financial accounting call for revenues, and the costsassociated with producing those revenues, to be ―booked‖ when the revenue process is essentially complete, not necessarily when the cash is collected or bills are paid. Note that this way is not necessarily correct; it‘s the way accountants have chosen to do it.3.The bottom line number shows the change in the cash balance on the balance sheet. As such, it is nota useful number for analyzing a company.4. The major difference is the treatment of interest expense. The accounting statement of cash flowstreats interest as an operating cash flow, while the financial cash flows treat interest as a financing cash flow. The logic of the accounting statement of cash flows is that since interest appears on the income statement, which shows the operations for the period, it is an operating cash flow. In reality, interest is a financing expense, which results from the company‘s choice of debt and equity. We will have more to say about this in a later chapter. When comparing the two cash flow statements, the financial statement of cash flows is a more appropriate measure of the company‘s performance because of its treatment of interest.5.Market values can never be negative. Imagine a share of stock selling for –$20. This would meanthat if you placed an order for 100 shares, you would get the stock along with a check for $2,000.How many shares do you want to buy? More generally, because of corporate and individual bankruptcy laws, net worth for a person or a corporation cannot be negative, implying that liabilities cannot exceed assets in market value.6.For a successful company that is rapidly expanding, for example, capital outlays will be large,possibly leading to negative cash flow from assets. In general, what matters is whether the money is spent wisely, not whether cash flow from assets is positive or negative.7.It‘s probably not a good sign for an established company to have negative cash flow from operations,but it would be fairly ordinary for a start-up, so it depends.8.For example, if a company were to become more efficient in inventory management, the amount ofinventory needed would decline. The same might be true if the company becomes better at collecting its receivables. In general, anything that leads to a decline in ending NWC relative to beginning would have this effect. Negative net capital spending would mean more long-lived assets were liquidated than purchased.9.If a company raises more money from selling stock than it pays in dividends in a particular period,its cash flow to stockholders will be negative. If a company borrows more than it pays in interest and principal, its cash flow to creditors will be negative.10.The adjustments discussed were purely accounting changes; they had no cash flow or market valueconsequences unless the new accounting information caused stockholders to revalue the derivatives. Solutions to Questions and ProblemsNOTE: All end-of-chapter problems were solved using a spreadsheet. Many problems require multiple steps. Due to space and readability constraints, when these intermediate steps are included in this solutions manual, rounding may appear to have occurred. However, the final answer for each problem is found without rounding during any step in the problem.Basic1.To find owners‘ equity, we must construct a balance sheet as follows:Balance SheetCA $ 5,300 CL $ 3,900NFA 26,000 LTD 14,200OE ??TA $31,300 TL & OE $31,300We know that total liabilities and owners‘ equity (TL & OE) must equal total assets of $31,300. We also know that TL & OE is equal to current liabilities plus long-term debt plus owner‘s equity, so owner‘s equity is:O E = $31,300 –14,200 – 3,900 = $13,200N WC = CA – CL = $5,300 – 3,900 = $1,4002. The income statement for the company is:Income StatementSales $493,000Costs 210,000Depreciation 35,000EBIT $248,000Interest 19,000EBT $229,000Taxes 80,150Net income $148,850One equation for net income is:Net income = Dividends + Addition to retained earningsRearranging, we get:Addition to retained earnings = Net income – DividendsAddition to retained earnings = $148,850 – 50,000Addition to retained earnings = $98,8503.To find the book value of current assets, we use: NWC = CA – CL. Rearranging to solve for currentassets, we get:CA = NWC + CL = $800,000 + 2,100,000 = $2,900,000The market value of current assets and net fixed assets is given, so:Book value CA = $2,900,000 Market value CA = $2,800,000Book value NFA = $5,000,000 Market value NFA = $6,300,000Book value assets = $7,900,000 Market value assets = $9,100,0004.Taxes = 0.15($50K) + 0.25($25K) + 0.34($25K) + 0.39($246K – 100K)Taxes = $79,190The average tax rate is the total tax paid divided by net income, so:Average tax rate = $79,190 / $246,000Average tax rate = 32.19%The marginal tax rate is the tax rate on the next $1 of earnings, so the marginal tax rate = 39%.5.To calculate OCF, we first need the income statement:Income StatementSales $14,900Costs 5,800Depreciation 1,300EBIT $7,800Interest 780Taxable income $7,020Taxes 2,808Net income $4,212OCF = EBIT + Depreciation – TaxesOCF = $7,800 + 1,300 – 2,808OCF = $6,292 capital spending = NFA end– NFA beg + DepreciationNet capital spending = $1,730,000 – 1,650,000 + 284,000Net capital spending = $364,0007.The long-term debt account will increase by $10 million, the amount of the new long-term debt issue.Since the company sold 10 million new shares of stock with a $1 par value, the common stock account will increase by $10 million. The capital surplus account will increase by $33 million, the value of the new stock sold above its par value. Since the company had a net income of $9 million, and paid $2 million in dividends, the addition to retained earnings was $7 million, which will increase the accumulated retained earnings account. So, the new long-term debt and stockholders‘ equity portion of the balance sheet will be:Long-term debt $ 82,000,000Total long-term debt $ 82,000,000Shareholders equityPreferred stock $ 9,000,000Common stock ($1 par value) 30,000,000Accumulated retained earnings 104,000,000Capital surplus 76,000,000Total equity $ 219,000,000Total Liabilities & Equity $ 301,000,0008.Cash flow to creditors = Interest paid – Net new borrowingCash flow to creditors = $118,000 – (LTD end– LTD beg)Cash flow to creditors = $118,000 – ($1,390,000 – 1,340,000)Cash flow to creditors = $118,000 – 50,000Cash flow to creditors = $68,0009. Cash flow to stockholders = Dividends paid – Net new equityCash flow to stockholders = $385,000 – [(Common end + APIS end) – (Common beg + APIS beg)]Cash flow to stockholders = $385,000 – [($450,000 + 3,050,000) – ($430,000 + 2,600,000)]Cash flow to stockholders = $385,000 – ($3,500,000 – 3,030,000)Cash flow to stockholders = –$85,000Note, APIS is the additional paid-in surplus.10. Cash flow from assets = Cash flow to creditors + Cash flow to stockholders= $68,000 – 85,000= –$17,000Cash flow from assets = –$17,000 = OCF – Change in NWC – Net capital spending–$17,000 = OCF – (–$69,000) – 875,000Operating cash flow = –$17,000 – 69,000 + 875,000Operating cash flow = $789,000Intermediate11. a.The accounting statement of cash flows explains the change in cash during the year. Theaccounting statement of cash flows will be:Statement of cash flowsOperationsNet income $105Depreciation 90Changes in other current assets (55)Accounts payable (10)Total cash flow from operations $170Investing activitiesAcquisition of fixed assets $(140)Total cash flow from investing activities $(140)Financing activitiesProceeds of long-term debt $30Dividends (45)Total cash flow from financing activities ($15)Change in cash (on balance sheet) $15b.Change in NWC = NWC end– NWC beg= (CA end– CL end) – (CA beg– CL beg)= [($50 + 155) – 85] – [($35 + 140) – 95)= $120 – 80= $40c.To find the cash flow generated by the firm‘s assets, we need the operating cash flow, and thecapital spending. So, calculating each of these, we find:Operating cash flowNet income $105Depreciation 90Operating cash flow $195Note that we can calculate OCF in this manner since there are no taxes.Capital spendingEnding fixed assets $340Beginning fixed assets (290)Depreciation 90Capital spending $140Now we can calculate the cash flow generated by the firm‘s assets, which is:Cash flow from assetsOperating cash flow $195Capital spending (140)Change in NWC (40)Cash flow from assets $ 1512.With the information provided, the cash flows from the firm are the capital spending and the changein net working capital, so:Cash flows from the firmCapital spending $(15,000)Additions to NWC (1,500)Cash flows from the firm $(16,500)And the cash flows to the investors of the firm are:Cash flows to investors of the firmSale of long-term debt (19,000)Sale of common stock (3,000)Dividends paid 19,500Cash flows to investors of the firm $(2,500)13. a. The interest expense for the company is the amount of debt times the interest rate on the debt.So, the income statement for the company is:Income StatementSales $1,200,000Cost of goods sold 450,000Selling costs 225,000Depreciation 110,000EBIT $415,000Interest 81,000Taxable income $334,000Taxes 116,900Net income $217,100b. And the operating cash flow is:OCF = EBIT + Depreciation – TaxesOCF = $415,000 + 110,000 – 116,900OCF = $408,10014.To find the OCF, we first calculate net income.Income StatementSales $167,000Costs 91,000Depreciation 8,000Other expenses 5,400EBIT $62,600Interest 11,000Taxable income $51,600Taxes 18,060Net income $33,540Dividends $9,500Additions to RE $24,040a.OCF = EBIT + Depreciation – TaxesOCF = $62,600 + 8,000 – 18,060OCF = $52,540b.CFC = Interest – Net new LTDCFC = $11,000 – (–$7,100)CFC = $18,100Note that the net new long-term debt is negative because the company repaid part of its long-term debt.c.CFS = Dividends – Net new equityCFS = $9,500 – 7,250CFS = $2,250d.We know that CFA = CFC + CFS, so:CFA = $18,100 + 2,250 = $20,350CFA is also equal to OCF – Net capital spending – Change in NWC. We already know OCF.Net capital spending is equal to:Net capital spending = Increase in NFA + DepreciationNet capital spending = $22,400 + 8,000Net capital spending = $30,400Now we can use:CFA = OCF – Net capital spending – Change in NWC$20,350 = $52,540 – 30,400 – Change in NWC.Solving for the change in NWC gives $1,790, meaning the company increased its NWC by$1,790.15.The solution to this question works the income statement backwards. Starting at the bottom:Net income = Dividends + Addition to ret. earningsNet income = $1,530 + 5,300Net income = $6,830Now, looking at the income statement:EBT – (EBT × Tax rate) = Net incomeRecognize that EBT × tax rate is simply the calculation for taxes. Solving this for EBT yields: EBT = NI / (1– Tax rate)EBT = $6,830 / (1 – 0.65)EBT = $10,507.69Now we can calculate:EBIT = EBT + InterestEBIT = $10,507.69 + 1,900EBIT = $12,407.69The last step is to use:EBIT = Sales – Costs – Depreciation$12,407.69 = $43,000 – 27,500 – DepreciationDepreciation = $3,092.31Solving for depreciation, we find that depreciation = $3,092.3116.The balance sheet for the company looks like this:Balance SheetCash $183,000 Accounts payable $465,000 Accounts receivable 138,000 Notes payable 145,000 Inventory 297,000 Current liabilities $610,000 Current assets $618,000 Long-term debt 1,550,000Total liabilities $2,160,000 Tangible net fixed assets 3,200,000Intangible net fixed assets 695,000 Common stock ??Accumulated ret. earnings 1,960,000 Total assets $4,513,000 Total liab. & owners‘ equity$4,513,000 Total liabiliti es and owners‘ equity is:TL & OE = Total debt + Common stock + Accumulated retained earningsSolving for this equation for equity gives us:Common stock = $4,513,000 – 1,960,000 – 2,160,000Common stock = $393,00017.The market value of sharehol ders‘ equity cannot be negative. A negative market value in this casewould imply that the company would pay you to own the stock. The market value of shareholders‘ equity can be stated as: Shareholders‘ equity = Max [(TA – TL), 0]. So, if TA is $9,700, equity is equal to $800, and if TA is $6,800, equity is equal to $0. We should note here that while the market value of equity cannot be negative, the book value of shareholders‘ equity can be negative.18. a. Taxes Growth = 0.15($50K) + 0.25($25K) + 0.34($3K) = $14,770Taxes Income = 0.15($50K) + 0.25($25K) + 0.34($25K) + 0.39($235K) + 0.34($7.465M)= $2,652,000b. Each firm has a marginal tax rate of 34% on the next $10,000 of taxable income, despite theirdifferent average tax rates, so both firms will pay an additional $3,400 in taxes.19.Income StatementSales $740,000COGS 610,000A&S expenses 100,000Depreciation 140,000EBIT ($115,000)Interest 70,000Taxable income ($185,000)Taxes (35%) 0 income ($185,000)b.OCF = EBIT + Depreciation – TaxesOCF = ($115,000) + 140,000 – 0OCF = $25,000 income was negative because of the tax deductibility of depreciation and interest expense.However, the actual cash flow from operations was positive because depreciation is a non-cash expense and interest is a financing expense, not an operating expense.20. A firm can still pay out dividends if net income is negative; it just has to be sure there is sufficientcash flow to make the dividend payments.Change in NWC = Net capital spending = Net new equity = 0. (Given)Cash flow from assets = OCF – Change in NWC – Net capital spendingCash flow from assets = $25,000 – 0 – 0 = $25,000Cash flow to stockholders = Dividends – Net new equityCash flow to stockholders = $30,000 – 0 = $30,000Cash flow to creditors = Cash flow from assets – Cash flow to stockholdersCash flow to creditors = $25,000 – 30,000Cash flow to creditors = –$5,000Cash flow to creditors is also:Cash flow to creditors = Interest – Net new LTDSo:Net new LTD = Interest – Cash flow to creditorsNet new LTD = $70,000 – (–5,000)Net new LTD = $75,00021. a.The income statement is:Income StatementSales $15,300Cost of good sold 10,900Depreciation 2,100EBIT $ 2,300Interest 520Taxable income $ 1,780Taxes 712Net income $1,068b.OCF = EBIT + Depreciation – TaxesOCF = $2,300 + 2,100 – 712OCF = $3,688c.Change in NWC = NWC end– NWC beg= (CA end– CL end) – (CA beg– CL beg)= ($3,950 – 1,950) – ($3,400 – 1,900)= $2,000 – 1,500 = $500Net capital spending = NFA end– NFA beg + Depreciation= $12,900 – 11,800 + 2,100= $3,200CFA = OCF – Change in NWC – Net capital spending= $3,688 – 500 – 3,200= –$12The cash flow from assets can be positive or negative, since it represents whether the firm raised funds or distributed funds on a net basis. In this problem, even though net income and OCF are positive, the firm invested heavily in both fixed assets and net working capital; it had to raise a net $12 in funds from its stockholders and creditors to make these investments.d.Cash flow to creditors = Interest – Net new LTD= $520 – 0= $520Cash flow to stockholders = Cash flow from assets – Cash flow to creditors= –$12 – 520= –$532We can also calculate the cash flow to stockholders as:Cash flow to stockholders = Dividends – Net new equitySolving for net new equity, we get:Net new equity = $500 – (–532)= $1,032The firm had positive earnings in an accounting sense (NI > 0) and had positive cash flow from operations. The firm invested $500 in new net working capital and $3,200 in new fixed assets. The firm had to raise $12 from its stakeholders to support this new investment. It accomplished this by raising $1,032 in the form of new equity. After paying out $500 of this in the form of dividends to shareholders and $520 in the for m of interest to creditors, $12 was left to meet the firm‘s cash flow needs for investment.22. a.Total assets 2009 = $780 + 3,480 = $4,260Total liabilities 2009 = $318 + 1,800 = $2,118Owners‘ equity 2009= $4,260 – 2,118 = $2,142Total assets 2010 = $846 + 4,080 = $4,926Total liabilities 2010 = $348 + 2,064 = $2,412Owners‘ equity 2010 = $4,926 – 2,412 = $2,514b.NWC 2009 = CA09 – CL09 = $780 – 318 = $462NWC 2010 = CA10 – CL10 = $846 – 348 = $498Change in NWC = NWC10 – NWC09 = $498 – 462 = $36c.We can calculate net capital spending as:Net capital spending = Net fixed assets 2010 – Net fixed assets 2009 + DepreciationNet capital spending = $4,080 – 3,480 + 960Net capital spending = $1,560So, the company had a net capital spending cash flow of $1,560. We also know that net capital spending is:Net capital spending = Fixed assets bought – Fixed assets sold$1,560 = $1,800 – Fixed assets soldFixed assets sold = $1,800 – 1,560 = $240To calculate the cash flow from assets, we must first calculate the operating cash flow. The operating cash flow is calculated as follows (you can also prepare a traditional income statement):EBIT = Sales – Costs – DepreciationEBIT = $10,320 – 4,980 – 960EBIT = $4,380EBT = EBIT – InterestEBT = $4,380 – 259EBT = $4,121Taxes = EBT ⨯ .35Taxes = $4,121 ⨯ .35Taxes = $1,442OCF = EBIT + Depreciation – TaxesOCF = $4,380 + 960 – 1,442OCF = $3,898Cash flow from assets = OCF – Change in NWC – Net capital spending.Cash flow from assets = $3,898 – 36 – 1,560Cash flow from assets = $2,302 new borrowing = LTD10 – LTD09Net new borrowing = $2,064 – 1,800Net new borrowing = $264Cash flow to creditors = Interest – Net new LTDCash flow to creditors = $259 – 264Cash flow to creditors = –$5Net new borrowing = $264 = Debt issued – Debt retiredDebt retired = $360 – 264 = $9623.Balance sheet as of Dec. 31, 2009Cash $2,739 Accounts payable $2,877Accounts receivable 3,626 Notes payable 529Inventory 6,447 Current liabilities $3,406Current assets $12,812Long-term debt $9,173 Net fixed assets $22,970 Owners' equity $23,203Total assets $35,782 Total liab. & equity $35,782Balance sheet as of Dec. 31, 2010Cash $2,802 Accounts payable $2,790Accounts receivable 4,085 Notes payable 497Inventory 6,625 Current liabilities $3,287Current assets $13,512Long-term debt $10,702 Net fixed assets $23,518 Owners' equity $23,041Total assets $37,030 Total liab. & equity $37,030 2009 Income Statement 2010 Income Statement Sales $5,223.00Sales $5,606.00 COGS 1,797.00COGS 2,040.00 Other expenses 426.00Other expenses 356.00 Depreciation 750.00Depreciation 751.00 EBIT $2,250.00EBIT $2,459.00 Interest 350.00Interest 402.00 EBT $1,900.00EBT $2,057.00 Taxes 646.00Taxes 699.38 Net income $1,254.00Net income $1,357.62 Dividends $637.00Dividends $701.00 Additions to RE 617.00Additions to RE 656.62 24.OCF = EBIT + Depreciation – TaxesOCF = $2,459 + 751 – 699.38OCF = $2,510.62Change in NWC = NWC end– NWC beg = (CA – CL) end– (CA – CL) begChange in NWC = ($13,512 – 3,287) – ($12,812 – 3,406)Change in NWC = $819Net capital spending = NFA end– NFA beg+ DepreciationNet capital spending = $23,518 – 22,970 + 751Net capital spending = $1,299Cash flow from assets = OCF – Change in NWC – Net capital spendingCash flow from assets = $2,510.62 – 819 – 1,299Cash flow from assets = $396.62Cash flow to creditors = Interest – Net new LTDNet new LTD = LTD end– LTD begCash flow to creditors = $402 – ($10,702 – 9,173)Cash flow to creditors = –$1,127Net new equity = Common stock end– Common stock begCommon stock + Retained earnings = Total owners‘ equityNet new equity = (OE – RE) end– (OE – RE) begNet new equity = OE end– OE beg + RE beg– RE endRE end= RE beg+ Additions to RENet new equity = OE end– OE beg+ RE beg– (RE beg + Additions to RE)= OE end– OE beg– Additions to RENet new equity = $23,041 – 23,203 – 656.62 = –$818.62Cash flow to stockholders = Dividends – Net new equityCash flow to stockholders = $701 – (–$818.62)Cash flow to stockholders = $1,519.62As a check, cash flow from assets is $396.62.Cash flow from assets = Cash flow from creditors + Cash flow to stockholdersCash flow from assets = –$1,127 + 1,519.62Cash flow from assets = $392.62Challenge25.We will begin by calculating the operating cash flow. First, we need the EBIT, which can becalculated as:EBIT = Net income + Current taxes + Deferred taxes + InterestEBIT = $144 + 82 + 16 + 43EBIT = $380Now we can calculate the operating cash flow as:Operating cash flowEarnings before interest and taxes $285Depreciation 78Current taxes (82)Operating cash flow $281The cash flow from assets is found in the investing activities portion of the accounting statement of cash flows, so:Cash flow from assetsAcquisition of fixed assets $148Sale of fixed assets (19)Capital spending $129The net working capital cash flows are all found in the operations cash flow section of the accounting statement of cash flows. However, instead of calculating the net working capital cash flows as the change in net working capital, we must calculate each item individually. Doing so, we find:Net working capital cash flowCash $42Accounts receivable 15Inventories (18)Accounts payable (14)Accrued expenses 7Notes payable (5)Other (2)NWC cash flow $25Except for the interest expense and notes payable, the cash flow to creditors is found in the financing activities of the accounting statement of cash flows. The interest expense from the income statement is given, so:Cash flow to creditorsInterest $43Retirement of debt 135Debt service $178Proceeds from sale of long-term debt (97)Total $81And we can find the cash flow to stockholders in the financing section of the accounting statement of cash flows. The cash flow to stockholders was:Cash flow to stockholdersDividends $ 72Repurchase of stock 11Cash to stockholders $ 83Proceeds from new stock issue (37)Total $ 46。

罗斯公司理财第九版课后习题第四章答案

1.当你增加时间的长度时，终值会发生什么变化，现值会发生什么变化？答：当增加时间长度时根据公司PV=C/(1+r)^t得到现值会减少（dwindle，diminish），而终值FV=C*(1+r)^t会增加。

2.如果利率增加，年金的终值会有什么变化？现值会有什么变化？答：当利率增加时，终值增大，现值FV=C(1/r-1/(r*(1+r)^t))得现值会减小分析这两道题都考察了对终值和现值的概念的理解:终值：一笔资金经过一个时期或者多个时期的以后的价值，如果考察终值就是在现在或将来我得到一笔资金C那么这笔资金在更远的未来将会价值多少，如果考察现值则是将来我得到一笔钱那么它现在的价值是多少（在某个固定的折现率下）3.假设有两名运动员签署了一份10年8000万的合同，一份是每年支付800万，一份是8000万分十次，支付金额每年递增5%，哪种情况最好答：计算过程如下图：u由上图的应该选第一种4.贷款法是否应该要求贷款者报告实际利率而不是名义利率？为什么？答：他们应该报告实际利率，名义利率的优势只是在于它们方便计算，可是在计算机技术发达的今天，计算已经不再是一个问题5.有津贴的斯坦福联邦贷款是为大学生提供帮助的一种普遍来源，直到偿还贷款才开始付息。

谁将收到更多的津贴，新生还是高年级的学生？请解释答：新生将获得跟多的津贴，因为新生使用无息贷款的时间比高年级学生长。

详细数据如下：由此可见新生的津贴=22235-20000=2235；而高年级的学生为1089根据下面的信息回答接下去的5个题：6.由计算得到如果500美金若在30年后要变成10000则实际年利率是10.5%,我想应该是GMAC的决策者认为公司的投资收益率大于10.5%7.如果公司可以在30年内的任意时间内以10000元的价格购买该债券的话，将会使得该债券更具有吸引力8.1）这500元不能影响我后面30年的正常生活，也就是我说我是否有500元的多余资金；2）该公司是否能够保证在30年后我能收到10000元3）当前我认为的投资收益率是否高于10.5%，若高于10.5%则不应该考虑投资该债券我的回答是：是取决的承诺偿还的人9.财政部的发行该种债券的价格较高因为财政部在所有的债券发行者中信用最好10.价格会超过之前的500美元，因为如果随着时间的推移，该债券的价值就越接近10000美元，如果在2010年的看价格有可能会更高，但不能确定，因为GMAC有财务恶化的可能或者资本市场上的投资收益率提高。

罗斯《公司理财》(第9版)笔记和课后习题(含考研真题)详解[视频讲解]

罗斯《公司理财》（第9版）笔记和课后习题详解第1章公司理财导论1.1复习笔记公司的首要目标——股东财富最大化决定了公司理财的目标。

公司理财研究的是稀缺资金如何在企业和市场内进行有效配置，它是在股份有限公司已成为现代企业制度最主要组织形式的时代背景下，就公司经营过程中的资金运动进行预测、组织、协调、分析和控制的一种决策与管理活动。

从决策角度来讲，公司理财的决策内容包括投资决策、筹资决策、股利决策和净流动资金决策；从管理角度来讲，公司理财的管理职能主要是指对资金筹集和资金投放的管理。

公司理财的基本内容包括：投资决策（资本预算）、融资决策（资本结构）、短期财务管理（营运资本）。

1．资产负债表资产负债表是总括反映企业某一特定日期财务状况的会计报表，它是根据资产、负债和所有者权益之间的相互关系，按照一定的分类标准和一定的顺序，把企业一定日期的资产、负债和所有者权益各项目予以适当排列，并对日常工作中形成的大量数据进行高度浓缩整理后编制而成的。

资产负债表可以反映资本预算、资本支出、资本结构以及经营中的现金流量管理等方面的内容。

2．资本结构资本结构是指企业各种资本的构成及其比例关系，它有广义和狭义之分。

广义资本结构，亦称财务结构，指企业全部资本的构成，既包括长期资本，也包括短期资本（主要指短期债务资本）。

狭义资本结构，主要指企业长期资本的构成，而不包括短期资本。

通常人们将资本结构表示为债务资本与权益资本的比例关系（D/E）或债务资本在总资本的构成（D/A）。

准确地讲，企业的资本结构应定义为有偿负债与所有者权益的比例。

资本结构是由企业采用各种筹资方式筹集资本形成的。

筹资方式的选择及组合决定着企业资本结构及其变化。

资本结构是企业筹资决策的核心问题。

企业应综合考虑影响资本结构的因素，运用适当方法优化资本结构，从而实现最佳资本结构。

资本结构优化有利于降低资本成本，获取财务杠杆利益。

3．财务经理财务经理是公司管理团队中的重要成员，其主要职责是通过资本预算、融资和资产流动性管理为公司创造价值。

1、下载文档前请自行甄别文档内容的完整性，平台不提供额外的编辑、内容补充、找答案等附加服务。
2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
3、如文档侵犯您的权益，请联系客服反馈,我们会尽快为您处理(人工客服工作时间：9:00-18:30)。

CH5 11，13，18，19，2011.To find the PV of a lump sum, we use:PV = FV / (1 + r)tPV = $1,000,000 / (1.10)80 = $488.1913.To answer this question, we can use either the FV or the PV formula. Both will give the sameanswer since they are the inverse of each other. We will use the FV formula, that is:FV = PV(1 + r)tSolving for r, we get:r = (FV / PV)1 / t– 1r = ($1,260,000 / $150)1/112– 1 = .0840 or 8.40%To find the FV of the first prize, we use:FV = PV(1 + r)tFV = $1,260,000(1.0840)33 = $18,056,409.9418.To find the FV of a lump sum, we use:FV = PV(1 + r)tFV = $4,000(1.11)45 = $438,120.97FV = $4,000(1.11)35 = $154,299.40Better start early!19. We need to find the FV of a lump sum. However, the money will only be invested for six years,so the number of periods is six.FV = PV(1 + r)tFV = $20,000(1.084)6 = $32,449.3320.To answer this question, we can use either the FV or the PV formula. Both will give the sameanswer since they are the inverse of each other. We will use the FV formula, that is:FV = PV(1 + r)tSolving for t, we get:t = ln(FV / PV) / ln(1 + r)t = ln($75,000 / $10,000) / ln(1.11) = 19.31So, the money must be invested for 19.31 years. However, you will not receive the money for another two years. From now, you’ll wait:2 years + 19.31 years = 21.31 yearsCH6 16，24，27，42，5816.For this problem, we simply need to find the FV of a lump sum using the equation:FV = PV(1 + r)tIt is important to note that compounding occurs semiannually. To account for this, we will divide the interest rate by two (the number of compounding periods in a year), and multiply the number of periods by two. Doing so, we get:FV = $2,100[1 + (.084/2)]34 = $8,505.9324.This problem requires us to find the FVA. The equation to find the FVA is:FVA = C{[(1 + r)t– 1] / r}FVA = $300[{[1 + (.10/12) ]360 – 1} / (.10/12)] = $678,146.3827.The cash flows are annual and the compounding period is quarterly, so we need to calculate theEAR to make the interest rate comparable with the timing of the cash flows. Using the equation for the EAR, we get:EAR = [1 + (APR / m)]m– 1EAR = [1 + (.11/4)]4– 1 = .1146 or 11.46%And now we use the EAR to find the PV of each cash flow as a lump sum and add them together: PV = $725 / 1.1146 + $980 / 1.11462 + $1,360 / 1.11464 = $2,320.3642.The amount of principal paid on the loan is the PV of the monthly payments you make. So, thepresent value of the $1,150 monthly payments is:PVA = $1,150[(1 – {1 / [1 + (.0635/12)]}360) / (.0635/12)] = $184,817.42The monthly payments of $1,150 will amount to a principal payment of $184,817.42. The amount of principal you will still owe is:$240,000 – 184,817.42 = $55,182.58This remaining principal amount will increase at the interest rate on the loan until the end of the loan period. So the balloon payment in 30 years, which is the FV of the remaining principal will be:Balloon payment = $55,182.58[1 + (.0635/12)]360 = $368,936.5458.To answer this question, we should find the PV of both options, and compare them. Since we arepurchasing the car, the lowest PV is the best option. The PV of the leasing is simply the PV of the lease payments, plus the $99. The interest rate we would use for the leasing option is thesame as the interest rate of the loan. The PV of leasing is:PV = $99 + $450{1 – [1 / (1 + .07/12)12(3)]} / (.07/12) = $14,672.91The PV of purchasing the car is the current price of the car minus the PV of the resale price. The PV of the resale price is:PV = $23,000 / [1 + (.07/12)]12(3) = $18,654.82The PV of the decision to purchase is:$32,000 – 18,654.82 = $13,345.18In this case, it is cheaper to buy the car than leasing it since the PV of the purchase cash flows is lower. To find the breakeven resale price, we need to find the resale price that makes the PV of the two options the same. In other words, the PV of the decision to buy should be:$32,000 – PV of resale price = $14,672.91PV of resale price = $17,327.09The resale price that would make the PV of the lease versus buy decision is the FV of this value, so:Breakeven resale price = $17,327.09[1 + (.07/12)]12(3) = $21,363.01CH7 3，18，21，22，313.The price of any bond is the PV of the interest payment, plus the PV of the par value. Notice thisproblem assumes an annual coupon. The price of the bond will be:P = $75({1 – [1/(1 + .0875)]10 } / .0875) + $1,000[1 / (1 + .0875)10] = $918.89We would like to introduce shorthand notation here. Rather than write (or type, as the case may be) the entire equation for the PV of a lump sum, or the PVA equation, it is common to abbreviate the equations as:PVIF R,t = 1 / (1 + r)twhich stands for Present Value Interest FactorPVIFA R,t= ({1 – [1/(1 + r)]t } / r )which stands for Present Value Interest Factor of an AnnuityThese abbreviations are short hand notation for the equations in which the interest rate and the number of periods are substituted into the equation and solved. We will use this shorthand notation in remainder of the solutions key.18.The bond price equation for this bond is:P0 = $1,068 = $46(PVIFA R%,18) + $1,000(PVIF R%,18)Using a spreadsheet, financial calculator, or trial and error we find:R = 4.06%This is the semiannual interest rate, so the YTM is:YTM = 2 4.06% = 8.12%The current yield is:Current yield = Annual coupon payment / Price = $92 / $1,068 = .0861 or 8.61%The effective annual yield is the same as the EAR, so using the EAR equation from the previous chapter:Effective annual yield = (1 + 0.0406)2– 1 = .0829 or 8.29%20. Accrued interest is the coupon payment for the period times the fraction of the period that haspassed since the last coupon payment. Since we have a semiannual coupon bond, the coupon payment per six months is one-half of the annual coupon payment. There are four months until the next coupon payment, so two months have passed since the last coupon payment. The accrued interest for the bond is:Accrued interest = $74/2 × 2/6 = $12.33And we calculate the clean price as:Clean price = Dirty price – Accrued interest = $968 – 12.33 = $955.6721. Accrued interest is the coupon payment for the period times the fraction of the period that haspassed since the last coupon payment. Since we have a semiannual coupon bond, the coupon payment per six months is one-half of the annual coupon payment. There are two months until。