罗斯公司理财英文练习题附带答案第九章

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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。

英文版罗斯公司理财习题答案ChapWord版

罗斯-公司理财-英文练习题-附带答案-第九章

CHAPTER 9Risk Analysis, Real Options, and Capital Budgeting Multiple Choice Questions:I. DEFINITIONSSCENARIO ANALYSISb 1. An analysis of what happens to the estimate of the net present value when you examinea number of different likely situations is called _____ analysis.a. forecastingb. scenarioc. sensitivityd. simulatione. break-evenDifficulty level: EasySENSITIVITY ANALYSISc 2. An analysis of what happens to the estimate of net present value when only onevariable is changed is called _____ analysis.a. forecastingb. scenarioc. sensitivityd. simulatione. break-evenDifficulty level: EasySIMULATION ANALYSISd 3. An analysis which combines scenario analysis with sensitivity analysis is called _____analysis.a. forecastingb. scenarioc. sensitivityd. simulatione. break-evenDifficulty level: EasyBREAK-EVEN ANALYSISe 4. An analysis of the relationship between the sales volume and various measures ofprofitability is called _____ analysis.a. forecastingb. scenarioc. sensitivityd. simulatione. break-evenDifficulty level: EasyVARIABLE COSTSa 5. Variable costs:a. change in direct relationship to the quantity of output produced.b. are constant in the short-run regardless of the quantity of output produced.c. reflect the change in a variable when one more unit of output is produced.d. are subtracted from fixed costs to compute the contribution margin.e. form the basis that is used to determine the degree of operating leverage employed by afirm.Difficulty level: EasyFIXED COSTSb 6. Fixed costs:a. change as the quantity of output produced changes.b. are constant over the short-run regardless of the quantity of output produced.c. reflect the change in a variable when one more unit of output is produced.d. are subtracted from sales to compute the contribution margin.e. can be ignored in scenario analysis since they are constant over the life of a project.Difficulty level: EasyACCOUNTING BREAK-EVENc 7. The sales level that results in a project’s net income exactly equaling zero is called the_____ break-even.a. operationalb. leveragedc. accountingd. cashe. present valueDifficulty level: EasyPRESENT VALUE BREAK-EVENe 8. The sales level that results in a project’s net present value exactly equaling zero iscalled the _____ break-even.a. operationalb. leveragedc. accountingd. cashe. present valueDifficulty level: EasyII. CONCEPTSSCENARIO ANALYSISb 9. Conducting scenario analysis helps managers see the:a. impact of an individual variable on the outcome of a project.b. potential range of outcomes from a proposed project.c. changes in long-term debt over the course of a proposed project.d. possible range of market prices for their stock over the life of a project.e. allocation distribution of funds for capital projects under conditions of hard rationing.Difficulty level: EasySENSITIVITY ANALYSISb 10. Sensitivity analysis helps you determine the:a. range of possible outcomes given possible ranges for every variable.b. degree to which the net present value reacts to changes in a single variable.c. net present value given the best and the worst possible situations.d. degree to which a project is reliant upon the fixed costs.e. level of variable costs in relation to the fixed costs of a project.Difficulty level: EasySENSITIVITY ANALYSISc 11. As the degree of sensitivity of a project to a single variable rises, the:a. lower the forecasting risk of the project.b. smaller the range of possible outcomes given a pre-defined range of values for theinput.c. more attention management should place on accurately forecasting the future value ofthat variable.d. lower the maximum potential value of the project.e. lower the maximum potential loss of the project.Difficulty level: MediumSENSITIVITY ANALYSISc 12. Sensitivity analysis is conducted by:a. holding all variables at their base level and changing the required rate of returnassigned to a project.b. changing the value of two variables to determine their interdependency.c. changing the value of a single variable and computing the resulting change in thecurrent value of a project.d. assigning either the best or the worst possible value to each variable and comparing theresults to those achieved by the base case.e. managers after a project has been implemented to determine how each variable relatesto the level of output realized.Difficulty level: MediumSENSITIVITY ANALYSISd 13. To ascertain whether the accuracy of the variable cost estimate for a project will havemuch effect on the final outcome of the project, you should probably conduct _____analysis.a. leverageb. scenarioc. break-evend. sensitivitye. cash flowDifficulty level: EasySIMULATIONd 14. Simulation analysis is based on assigning a _____ and analyzing the results.a. narrow range of values to a single variableb. narrow range of values to multiple variables simultaneouslyc. wide range of values to a single variabled. wide range of values to multiple variables simultaneouslye. single value to each of the variablesDifficulty level: MediumSIMULATIONe 15. The type of analysis that is most dependent upon the use of a computer is _____analysis.a. scenariob. break-evenc. sensitivityd. degree of operating leveragee. simulationDifficulty level: EasyVARIABLE COSTSd 16. Which one of the following is most likely a variable cost?a. office rentb. property taxesc. property insuranced. direct labor costse. management salariesDifficulty level: EasyVARIABLE COSTSa 17. Which of the following statements concerning variable costs is (are) correct?I. Variable costs minus fixed costs equal marginal costs.II. Variable costs are equal to zero when production is equal to zero.III. An increase in variable costs increases the operating cash flow.a. II onlyb. III onlyc. I and III onlyd. II and III onlye. I and II onlyDifficulty level: MediumVARIABLE COSTSa 18. All else constant, as the variable cost per unit increases, the:a. contribution margin decreases.b. sensitivity to fixed costs decreases.c. degree of operating leverage decreases.d. operating cash flow increases.e. net profit increases.Difficulty level: MediumFIXED COSTSc 19. Fixed costs:I. are variable over long periods of time.II. must be paid even if production is halted.III. are generally affected by the amount of fixed assets owned by a firm.IV. per unit remain constant over a given range of production output.a. I and III onlyb. II and IV onlyc. I, II, and III onlyd. I, II, and IV onlye. I, II, III, and IVDifficulty level: MediumCONTRIBUTION MARGINc 20. The contribution margin must increase as:a. both the sales price and variable cost per unit increase.b. the fixed cost per unit declines.c. the gap between the sales price and the variable cost per unit widens.d. sales price per unit declines.e. the sales price minus the fixed cost per unit increases.Difficulty level: MediumACCOUNTING BREAK-EVENa 21. Which of the following statements are correct concerning the accounting break-evenpoint?I. The net income is equal to zero at the accounting break-even point.II. The net present value is equal to zero at the accounting break-even point.III. The quantity sold at the accounting break-even point is equal to the total fixed costs plus depreciation divided by the contribution margin.IV. The quantity sold at the accounting break-even point is equal to the total fixed costs divided by the contribution margin.a. I and III onlyb. I and IV onlyc. II and III onlyd. II and IV onlye. I, II, and IV onlyDifficulty level: MediumACCOUNTING BREAK-EVENb 22. All else constant, the accounting break-even level of sales will decrease when the:a. fixed costs increase.b. depreciation expense decreases.c. contribution margin decreases.d. variable costs per unit increase.e. selling price per unit decreases.Difficulty level: MediumPRESENT VALUE BREAK-EVENd 23. The point where a project produces a rate of return equal to the required return isknown as the:a. point of zero operating leverage.b. internal break-even point.c. accounting break-even point.d. present value break-even point.e. internal break-even point.Difficulty level: EasyPRESENT VALUE BREAK-EVENb 24. Which of the following statements are correct concerning the present value break-evenpoint of a project?I. The present value of the cash inflows equals the amount of the initial investment.II. The payback period of the project is equal to the life of the project.III. The operating cash flow is at a level that produces a net present value of zero.IV. The project never pays back on a discounted basis.a. I and II onlyb. I and III onlyc. II and IV onlyd. III and IV onlye. I, III, and IV onlyDifficulty level: MediumINVESTMENT TIMING DECISIONb 25. The investment timing decision relates to:a. how long the cash flows last once a project is implemented.b. the decision as to when a project should be started.c. how frequently the cash flows of a project occur.d. how frequently the interest on the debt incurred to finance a project is compounded.e. the decision to either finance a project over time or pay out the initial cost in cash.Difficulty level: MediumOPTION TO WAITe 26. The timing option that gives the option to wait:I. may be of minimal value if the project relates to a rapidly changing technology.II. is partially dependent upon the discount rate applied to the project being evaluated.III. is defined as the situation where operations are shut down for a period of time.IV. has a value equal to the net present value of the project if it is started today versus the net present value if it is started at some later date.a. I and III onlyb. II and IV onlyc. I and II onlyd. II, III, and IV onlye. I, II, and IV onlyDifficulty level: ChallengeOPTION TO EXPANDb 27. Last month you introduced a new product to the market. Consumer demand has beenoverwhelming and appears that strong demand will exist over the long-term. Given thissituation, management should consider the option to:a. suspend.b. expand.c. abandon.d. contract.e. withdraw.Difficulty level: EasyOPTION TO EXPANDc 28. Including the option to expand in your project analysis will tend to:a. extend the duration of a project but not affect the project’s net present value.b. increase the cash flows of a project but decrease the project’s net present value.c. increase the net present value of a project.d. decrease the net present value of a project.e. have no effect on either a project’s cash flows or its net present value.Difficulty level: MediumSENSITIVITY AND SENARIO ANALYSISd 29. Theoretically, the NPV is the most appropriate method to determine the acceptabilityof a project. A false sense of security can be overwhelm the decision-maker when theprocedure is applied properly and the positive NPV results are accepted blindly.Sensitivity and scenario analysis aid in the process bya. changing the underlying assumptions on which the decision is based.b. highlights the areas where more and better data are needed.c. providing a picture of how an event can affect the calculations.d. All of the above.e. None of the above.Difficulty level: MediumDECSION TREEa 30. In order to make a decision with a decision treea. one starts farthest out in time to make the first decision.b. one must begin at time 0.c. any path can be taken to get to the end.d. any path can be taken to get back to the beginning.e. None of the above.Difficulty level: MediumDECISION TREEc 31. In a decision tree, the NPV to make the yes/no decision is dependent ona. only the cash flows from successful path.b. on the path where the probabilities add up to one.c. all cash flows and probabilities.d. only the cash flows and probabilities of the successful path.e. None of the above.Difficulty level: MediumDECISION TREEe 32. In a decision tree, caution should be used in analysis becausea. early stage decisions are probably riskier and should not likely use the same discountrate.b. if a negative NPV is actually occurring, management should opt out of the project andminimize their loss.c. decision trees are only used for planning, not actually daily management.d. Both A and C.e. Both A and B.Difficulty level: MediumSENSITIVITY ANALYSISd 33. Sensitivity analysis evaluates the NPV with respect toa. changes in the underlying assumptions.b. one variable changing while holding the others constant.c. different economic conditions.d. All of the above.e. None of the above.Difficulty level: MediumSENSITIVITY ANALYSISd 34. Sensitivity analysis provides information ona. whether the NPV should be trusted, it may provide a false sense of security if allNPVs are positive.b. the need for additional information as it tests each variable in isolation.c. the degree of difficulty in changing multiple variables together.d. Both A and B.e. Both A and C.Difficulty level: MediumFIXED COSTSb 35. Fixed production costs area. directly related to labor costs.b. measured as cost per unit of time.c. measured as cost per unit of output.d. dependent on the amount of goods or services produced.e. None of the above.Difficulty level: MediumVARIABLE COSTSd 36. Variable costsa. change as the quantity of output changes.b. are zero when production is zero.c. are exemplified by direct labor and raw materials.d. All of the above.e. None of the above.Difficulty level: EasySENSITIVITY ANALYSISb 37. An investigation of the degree to which NPV depends on assumptions made about anysingular critical variable is called a(n)a. operating analysis.b. sensitivity analysis.c. marginal benefit analysis.d. decision tree analysis.e. None of the above.Difficulty level: EasySENSITIVITY AND SCENARIOS ANALYSISb 38. Scenario analysis is different than sensitivity analysisa. as no economic forecasts are changed.b. as several variables are changed together.c. because scenario analysis deals with actual data versus sensitivity analysis which dealswith a forecast.d. because it is short and simple.e. because it is 'by the seat of the pants' technique.Difficulty level: MediumEQUIVALENT ANNUAL COSTc 39. In the present-value break-even the EAC is used toa. determine the opportunity cost of investment.b. allocate depreciation over the life of the project.c. allocate the initial investment at its opportunity cost over the life of the project.d. determine the contribution margin to fixed costs.e. None of the above.Difficulty level: MediumBREAK-EVENb 40. The present value break-even point is superior to the accounting break-even pointbecausea. present value break-even is more complicated to calculate.b. present value break-even covers the economic opportunity costs of the investment.c. present value break-even is the same as sensitivity analysis.d. present value break-even covers the fixed costs of production, which the accountingbreak-even does not.e. present value break-even covers the variable costs of production, which the accountingbreak-even does not.Difficulty level: EasyABANDONMENTd 41. The potential decision to abandon a project has option value becausea. abandonment can occur at any future point in time.b. a project may be worth more dead than alive.c. management is not locked into a negative outcome.d. All of the above.e. None of the above.Difficulty level: EasyTYPES OF BREAK-EVEN ANALYSISd 42. Which of the following are types of break-even analysis?a. present value break-evenb. accounting profit break-evenc. market value break-evend. Both A and B.e. Both A and C.Difficulty level: EasyMONTE CARLO SIMULATIONc 43. The approach that further attempts to model real word uncertainty by analyzingprojects the way one might analyze gambling strategies is calleda. gamblers approach.b. blackjack approach.c. Monte Carlo simulation.d. scenario analysis.e. sensitivity analysis.Difficulty level: MediumMONTE CARLO SIMULATIONc 44. Monte Carlo simulation isa. the most widely used by executives.b. a very simple formula.c. provides a more complete analysis that sensitivity or scenario.d. the oldest capital budgeting technique.e. None of the above.Difficulty level: EasyOPTIONS IN CAPITAL BUDGETINGd 45. Which of the following are hidden options in capital budgeting?a. option to expand.b. timing option.c. option to abandon.d. All of the above.e. None of the above.Difficulty level: EasyIII. PROBLEMSUse this information to answer questions 46 through 50.The Adept Co. is analyzing a proposed project. The company expects to sell 2,500units, give or take 10 percent. The expected variable cost per unit is $8 and the expected fixed costs are $12,500. Cost estimates are considered accurate within a plus or minus 5 percent range. The depreciation expense is $4,000. The sale price is estimated at $16 aunit, give or take 2 percent. The company bases their sensitivity analysis on the expected case scenario.SCENARIO ANALYSISd 46. What is the sales revenue under the optimistic case scenario?a. $40,000b. $43,120c. $44,000d. $44,880e. $48,400Difficulty level: MediumSCENARIO ANALYSISd 47. What is the contribution margin under the expected case scenario?a. $2.67b. $3.00c. $7.92d. $8.00e. $8.72Difficulty level: MediumSCENARIO ANALYSISc 48. What is the amount of the fixed cost per unit under the pessimistic case scenario?a. $4.55b. $5.00c. $5.83d. $6.02e. $6.55Difficulty level: MediumSENSITIVITY ANALYSISb 49. The company is conducting a sensitivity analysis on the sales price using a salesprice estimate of $17. Using this value, the earnings before interest and taxes will be:a. $4,000b. $6,000c. $8,500d. $10,000e. $18,500Difficulty level: MediumSENSITIVITY ANALYSISb 50. The company conducts a sensitivity analysis using a variable cost of $9. The totalvariable cost estimate will be:a. $21,375b. $22,500c. $23,625d. $24,125e. $24,750Difficulty level: MediumUse this information to answer questions 51 through 55.The Can-Do Co. is analyzing a proposed project. The company expects to sell 12,000units, give or take 4 percent. The expected variable cost per unit is $7 and the expectedfixed cost is $36,000. The fixed and variable cost estimates are considered accuratewithin a plus or minus 6 percent range. The depreciation expense is $30,000. The tax rate is 34 percent. The sale price is estimated at $14 a unit, give or take 5 percent. Thecompany bases their sensitivity analysis on the expected case scenario.SCENARIO ANALYSISa 51. What is the earnings before interest and taxes under the expected case scenario?a. $18,000b. $24,000c. $36,000d. $48,000e. $54,000Difficulty level: MediumSCENARIO ANALYSISc 52. What is the earnings before interest and taxes under anoptimistic case scenario?a. $22,694.40b. $24,854.40c. $37,497.60d. $52,694.40e. $67,947.60Difficulty level: ChallengeSCENARIO ANALYSISb 53. What is the earnings before interest and taxes under the pessimistic case scenario?b. -$422.40c. -$278.78d. $3,554.50e. $5,385.60Difficulty level: ChallengeSENSITIVITY ANALYSISd 54. What is the operating cash flow for a sensitivity analysis using total fixed costs of$32,000?a. $14,520b. $16,520c. $22,000d. $44,520e. $52,000Difficulty level: MediumSENSITIVITY ANALYSISd 55. What is the contribution margin for a sensitivity analysis using a variable cost per unitof $8?a. $3b. $4c. $5d. $6e. $7Difficulty level: MediumVARIABLE COSTc 56. A firm is reviewing a project with labor cost of $8.90 per unit, raw materials cost of$21.63 a unit, and fixed costs of $8,000 a month. Sales are projected at 10,000 unitsover the three-month life of the project. What are the total variable costs of the project?a. $216,300b. $297,300c. $305,300d. $313,300e. $329,300Difficulty level: MediumVARIABLE COSTd 57. A project has earnings before interest and taxes of $5,750, fixed costs of $50,000, aselling price of $13 a unit, and a sales quantity of 11,500 units. Depreciation is $7,500.What is the variable cost per unit?a. $6.75c. $7.25d. $7.50e. $7.75Difficulty level: MediumFIXED COSTb 58. At a production level of 5,600 units a project has total costs of $89,000. The variablecost per unit is $11.20. What is the amount of the total fixed costs?a. $24,126b. $26,280c. $27,090d. $27,820e. $28,626Difficulty level: MediumFIXED COSTe 59. At a production level of 6,000 units a project has total costs of $120,000. The variablecost per unit is $14.50. What is the amount of the total fixed costs?a. $25,165b. $28,200c. $30,570d. $32,000e. $33,000Difficulty level: MediumCONTRIBUTION MARGINc 60. Wilson’s Meats has computed their fixed costs to be $.60 for every pound of meatthey sell given an average daily sales level of 500 pounds. They charge $3.89 perpound of top-grade ground beef. The variable cost per pound is $2.99. What is thecontribution margin per pound of ground beef sold?a. $.30b. $.60c. $.90d. $2.99e. $3.89Difficulty level: MediumCONTRIBUTION MARGINe 61. Ralph and Emma’s is considering a project with total sales of $17,500, total variablecosts of $9,800, total fixed costs of $3,500, and estimated production of 400 units. Thedepreciation expense is $2,400 a year. What is the contribution margin per unit?a. $4.50b. $10.50d. $19.09e. $19.25Difficulty level: MediumACCOUNTING BREAK-EVENa 62. You are considering a new project. The project has projected depreciation of $720,fixed costs of $6,000, and total sales of $11,760. The variable cost per unit is$4.20. What is the accounting break-even level of production?a. 1,200 unitsb. 1,334 unitsc. 1,372 unitsd. 1,889 unitse. 1,910 unitsDifficulty level: MediumACCOUNTING BREAK-EVENb 63. The accounting break-even production quantity for a project is 5,425 units. The fixedcosts are $31,600 and the contribution margin is $6. What is the projecteddepreciation expense?a. $700b. $950c. $1,025d. $1,053e. $1,100Difficulty level: MediumACCOUNTING BREAK-EVENd 64. A project has an accounting break-even point of 2,000 units. The fixed costs are$4,200 and the depreciation expense is $400. The projected variable cost per unit is$23.10. What is the projected sales price?a. $20.80b. $21.00c. $21.20d. $25.40e. $25.60Difficulty level: MediumACCOUNTING BREAK-EVENa 65. A proposed project has fixed costs of $3,600, depreciation expense of $1,500, and asales quantity of 1,300 units. What is the contribution margin if the projected level ofsales is the accounting break-even point?a. $3.92c. $4.50d. $4.80e. $5.00Difficulty level: MediumPRESENT VALUE BREAK-EVENc 66. A project has a contribution margin of $5, projected fixed costs of $12,000, projectedvariable cost per unit of $12, and a projected present value break-even point of 5,000units. What is the operating cash flow at this level of output?a. $1,000b. $12,000c. $13,000d. $68,000e. $73,000Difficulty level: MediumPRESENT VALUE BREAK-EVENa 67. Thompson & Son have been busy analyzing a new product. They have determined thatan operating cash flow of $16,700 will result in a zero net present value, which is acompany requirement for project acceptance. The fixed costs are $12,378 and thecontribution margin is $6.20. The company feels that they can realistically capture10 percent of the 50,000 unit market for this product. Should the company develop thenew product? Why or why not?a. yes; because 5,000 units of sales exceeds the quantity required for a zero net presentvalueb. yes; because the internal break-even point is less than 5,000 unitsc. no; because the firm can not generate sufficient sales to obtain at least a zero netpresent valued. no; because the project has an expected internal rate of return of negative 100percente. no; because the project will not pay back on a discounted basisDifficulty level: ChallengePRESENT VALUE BREAK-EVENe 68. Kurt Neal and Son is considering a project with a discounted payback just equal to theproject’s life. The projections include a sales price of $11, variable cost per unit of$8.50, and fixed costs of $4,500. The operating cash flow is $6,200. What is the break-even quantity?a. 1,800 unitsb. 2,480 unitsc. 3,057 unitsd. 3,750 unitse. 4,280 unitsDifficulty level: MediumDECISION TREE NET PRESENT VALUEb 69. At stage 2 of the decision tree it shows that if a project is successful, the payoff will be$53,000 with a 2/3 chance of occurrence. There is also the 1/3 chance of a $-24,000payoff. The cost of getting to stage 2 (1 year out) is $44,000. The cost of capital is15%. What is the NPV of the project at stage 1?a. $-13,275b. $-20,232c. $ 2,087d. $ 7,536e. Can not be calculated without the exact timing of future cash flows.Difficulty level: MediumUse the following to answer questions 70-71:The Quick-Start Company has the following pattern of potential cash flows with their planned investment in a new cold weather starting system for fuel injected cars.DECISION TREEa 70. If the company has a discount rate of 17%, what is the value closest to time 1 netpresent value?a. $ 48.6 millionb. $ 80.9 millionc. $108.2 milliond. $181.4 millione. None of the above.Difficulty level: ChallengeDECISION TREEb 71. If the company has a discount rate of 17%, should they decide to invest?a. yes, NPV = $ 2.2 millionb. yes, NPV = $ 21.6 millionc. no, NPV = $-1.9 milliond. yes, NPV = $ 8.6 millione. No, since more than one branch is NPV = 0 or negative you must reject.Difficulty level: ChallengeACCOUNTING BREAK-EVENe 72. The Mini-Max Company has the following cost information on their new prospectiveproject. Calculate the accounting break-even point.Initial investment: $700。

Cha07罗斯公司理财第九版原版书课后习题

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 hasa 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 witha 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 w ithin ±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 newline 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 otherwords, 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 funn y! 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 pe rcent 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 movieis 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 newmaterial. 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’sinitial 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 p ercent. 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 evaluatingwas 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, andtransportation 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?。

Cha08 罗斯公司理财第九版原版书课后习题

Earlier in the chapter, we saw how bonds were rated based on their credit risk. What you will find if you start looking at bonds of different ratings is that lower-rated bonds have higher yields.We stated earlier in this chapter that a bond’s yield is calculated assuming that all the promised payments will be made. As a result, it is really a promised yield, and it may or may not be what you will earn. In particular, if the issuer defaults, your actual yield will be lower, probably much lower. This fact is particularly important when it comes to junk bonds. Thanks to a clever bit of marketing, such bonds are now commonly called high-yield bonds, which has a much nicer ring to it; but now you recognize that these are really high promised yield bonds.Next, recall that we discussed earlier how municipal bonds are free from most taxes and, as a result, have much lower yields than taxable bonds. Investors demand the extra yield on a taxable bond as compensation for the unfavorable tax treatment. This extra compensation is the taxability premium.Finally, bonds have varying degrees of liquidity. As we discussed earlier, there are an enormous number of bond issues, most of which do not trade on a regular basis. As a result, if you wanted to sell quickly, you would probably not get as good a price as you could otherwise. Investors prefer liquid assets to illiquid ones, so they demand a liquidity premium on top of all the other premiums we have discussed. As a result, all else being the same, less liquid bonds will have higher yields than more liquid bonds.ConclusionIf we combine everything we have discussed, we find that bond yields represent the combined effect of no fewer than six factors. The first is the real rate of interest. On top of the real rate are five premiums representing compensation for (1) expected future inflation, (2) interest rate risk, (3) default risk, (4) taxability, and (5) lack of liquidity. As a result, determining the appropriate yield on a bond requires careful analysis of each of these factors.Summary and ConclusionsThis chapter has explored bonds, bond yields, and interest rates. We saw that:1. Determining bond prices and yields is an application of basic discounted cash flow principles.2. Bond values move in the direction opposite that of interest rates, leading to potential gains orlosses for bond investors.3. Bonds are rated based on their default risk. Some bonds, such as Treasury bonds, have no riskof default, whereas so-called junk bonds have substantial default risk.4. Almost all bond trading is OTC, with little or no market transparency in many cases. As a result,bond price and volume information can be difficult to find for some types of bonds.5. Bond yields and interest rates reflect six different factors: the real interest rate and fivepremiums that investors demand as compensation for inflation, interest rate risk, default risk, taxability, and lack of liquidity.In closing, we note that bonds are a vital source of financing to governments and corporations of all types. Bond prices and yields are a rich subject, and our one chapter, necessarily, touches on only the most important concepts and ideas. There is a great deal more we could say, but, instead, we will move on to stocks in our next chapter.Concept Questions1. Treasury Bonds Is it true that a U.S. Treasury security is risk-free?2. Interest Rate Risk Which has greater interest rate risk, a 30-year Treasury bond or a 30-year21. Using Bond Quotes Suppose the following bond quote for IOU Corporation appears in thefinancial page of today’s newspaper. Assume the bond has a face value of $1,000 and the current date is April 15, 2010. What is the yield to maturity of the bond? What is the current yield?22. Finding the Maturity You’ve just found a 10 percent coupon bond on the market that sells forpar value. What is the maturity on this bond?CHALLENGE (Questions 23–30)23. Components of Bond Returns Bond P is a premium bond with a 9 percent coupon. Bond D isa 5 percent coupon bond currently selling at a discount. Both bonds make annual payments, havea YTM of 7 percent, and have five years to maturity. What is the current yield for Bond P? For BondD? If interest rates remain unchanged, what is the expected capital gains yield over the next year for Bond P? For Bond D? Explain your answers and the interrelationship among the various types of yields.24. Holding Period Yield The YTM on a bond is the interest rate you earn on your investment ifinterest rates don’t change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY).1. Suppose that today you buy a 9 percent annual coupon bond for $1,140. The bond has 10years to maturity. What rate of return do you expect to earn on your investment?2. Two years from now, the YTM on your bond has declined by 1 percent, and you decide tosell. What price will your bond sell for? What is the HPY on your investment? Compare this yield to the YTM when you first bought the bond. Why are they different?25. Valuing Bonds The Morgan Corporation has two different bonds currently outstanding. Bond Mhas a face value of $20,000 and matures in 20 years. The bond makes no payments for the first six years, then pays $800 every six months over the subsequent eight years, and finally pays $1,000 every six months over the last six years. Bond N also has a face value of $20,000 and a maturity of20 years; it makes no coupon payments over the life of the bond. If the required return on boththese bonds is 8 percent compounded semiannually, what is the current price of Bond M? Of Bond N?26. R eal Cash Flows When Marilyn Monroe died, ex-husband Joe DiMaggio vowed to place freshflowers on her grave every Sunday as long as he lived. The week after she died in 1962, a bunch of fresh flowers that the former baseball player thought appropriate for the star cost about $8.Based on actuarial tables, “Joltin’ Joe” could expect to live for 30 years after the actress died.Assume that the EAR is 10.7 percent. Also, assume that the price of the flowers will increase at 3.5 percent per year, when expressed as an EAR. Assuming that each year has exactly 52 weeks, what is the present value of this commitment? Joe began purchasing flowers the week after Marilyn died.27. Real Cash Flows You are planning to save for retirement over the next 30 years. To save forretirement, you will invest $800 a month in a stock account in real dollars and $400 a month in a bond account in real dollars. The effective annual return of the stock account is expected to be 12 percent, and the bond account will earn 7 percent. When you retire, you will combine your money into an account with an 8 percent effective return. The inflation rate over this period is expected to be 4 percent. How much can you withdraw each month from your account in real terms assuminga 25-year withdrawal period? What is the nominal dollar amount of your last withdrawal?28. Real Cash Flows Paul Adams owns a health club in downtown Los Angeles. He charges hiscustomers an annual fee of $500 and has an existing customer base of 500. Paul plans to raise the annual fee by 6 percent every year and expects the club membership to grow at a constant rate of3 percent for the next five years. The overall expenses of running the health club are $75,000 ayear and are expected to grow at the inflation rate of 2 percent annually. After five years, Paul2. How many of the coupon bonds must East Coast Yachts issue to raise the $40 million? Howmany of the zeroes must it issue?3. In 20 years, what will be the principal repayment due if East Coast Yachts issues the couponbonds? What if it issues the zeroes?4. What are the company’s considerations in issuing a coupon bond compared to a zero couponbond?5. Suppose East Coast Yachts issues the coupon bonds with a make-whole call provision. Themake-whole call rate is the Treasury rate plus .40 percent. If East Coast calls the bonds in 7 years when the Treasury rate is 5.6 percent, what is the call price of the bond? What if it is 9.1 percent?6. Are investors really made whole with a make-whole call provision?7. After considering all the relevant factors, would you recommend a zero coupon issue or aregular coupon issue? Why? Would you recommend an ordinary call feature or a make-whole call feature? Why?。

英文版罗斯公司理财习题答案

CHAPTER 8MAKING CAPITAL INVESTMENT DECISIONSAnswers to Concepts Review and Critical Thinking Questions1. In this context, an opportunity cost refers to the value of anasset or other input that will be used in a project. The relevant cost is what the asset or input is actually worth today, not, for example, what it cost to acquire.2. a.Yes, the reduction in the sales of the company’s otherproducts, referred to as erosion, and should be treated as an incremental cash flow. These lost sales are included because they are a cost (a revenue reduction) that the firm must bear if it chooses to produce the new product.b. Yes, expenditures on plant and equipment should be treatedas incremental cash flows. These are costs of the new product line. However, if these expenditures have already occurred, they are sunk costs and are not included as incremental cash flows.c. No, the research and development costs should not be treatedas incremental cash flows. The costs of research and development undertaken on the product during the past 3 years are sunk costs and should not be included in the evaluation of the project. Decisions made and costs incurred in the past cannot be changed. They should not affect the decision to accept or reject the project.d. Yes, the annual depreciation expense should be treated as anincremental cash flow. Depreciation expense must be taken into account when calculating the cash flows related to a given project. While depreciation is not a cash expense that directly affects c ash flow, it decreases a firm’s netincome and hence, lowers its tax bill for the year. Because of this depreciation tax shield, the firm has more cash on hand at the end of the year than it would have had without expensing depreciation.e.No, dividend payments should not be treated as incrementalcash flows. A firm’s decision to pay or not pay dividends is independent of the decision to accept or reject any given investment project. For this reason, it is not an incremental cash flow to a given project. Dividend policy is discussed in more detail in later chapters.f.Yes, the resale value of plant and equipment at the end of aproject’s life should be treated as an incremental cashflow. The price at which the firm sells the equipment is a cash inflow, and any difference between the book value ofthe equipment and its sale price will create gains or losses that result in either a tax credit or liability.g.Yes, salary and medical costs for production employees hiredfor a project should be treated as incremental cash flows.The salaries of all personnel connected to the project must be included as costs of that project.3.I tem I is a relevant cost because the opportunity to sell theland is lost if the new golf club is produced. Item II is also relevant because the firm must take into account the erosion of sales of existing products when a new product is introduced. If the firm produces the new club, the earnings from the existing clubs will decrease, effectively creating a cost that must be included in the decision. Item III is not relevant because the costs of Research and Development are sunk costs. Decisions made in the past cannot be changed. They are not relevant to the production of the new clubs.4. For tax purposes, a firm would choose MACRS because it providesfor larger depreciation deductions earlier. These larger deductions reduce taxes, but have no other cash consequences.Notice that the choice between MACRS and straight-line is purely a time value issue; the total depreciation is the same;only the timing differs.5.It’s probably only a mild over-simplification. Currentliabilities will all be paid, presumably. The cash portion of current assets will be retrieved. Some receivables won’t be collected, and some inventory will not be sold, of course.Counterbalancing these losses is the fact that inventory sold above cost (and not replaced at the end of the project’s life) acts to increase working capital. These effects tend to offset one another.6.Management’s discretion to set the firm’s capital structureis applicable at the firm level. Since any one particular project could be financed entirely with equity, another project could be financed with debt, and the firm’s overall capital structure remains unchanged, financing costs are not relevant in the analysis of a project’s incremental cash flows according to the stand-alone principle.7. The EAC approach is appropriate when comparing mutuallyexclusive projects with different lives that will be replaced when they wear out. This type of analysis is necessary so that the projects have a common life span over which they can be compared; in effect, each project is assumed to exist over an infinite horizon of N-year repeating projects. Assuming that this type of analysis is valid implies that the project cash flows remain the same forever, thus ignoring the possible effects of, among other things: (1) inflation, (2) changing economic conditions, (3) the increasing unreliability of cash flow estimates that occur far into the future, and (4) the possible effects of future technology improvement that could alter the project cash flows.8. Depreciation is a non-cash expense, but it is tax-deductible onthe income statement. Thus depreciation causes taxes paid, an actual cash outflow, to be reduced by an amount equal to the depreciation tax shield, t c D. A reduction in taxes that would otherwise be paid is the same thing as a cash inflow, so the effects of the depreciation tax shield must be added in to get the total incremental aftertax cash flows.9. There are two particularly important considerations. The firstis erosion. Will the “essentialized”book simply displace copies of the existing book that would have otherwise been sold?This is of special concern given the lower price. The second consideration is competition. Will other publishers step in and produce such a product? If so, then any erosion is much less relevant. A particular concern to book publishers (and producers of a variety of other product types) is that the publisher only makes money from the sale of new books. Thus, it is important to examine whether the new book would displace sales of used books (good from the publisher’s perspective) or new books (not good). The concern arises any time there is an active market for used product.10.D efinitely. The damage to Porsche’s reputation is definitely afactor the company needed to consider. If the reputation was damaged, the company would have lost sales of its existing car lines.11.O ne company may be able to produce at lower incremental cost ormarket better. Also, of course, one of the two may have made a mistake!12.P orsche would recognize that the outsized profits would dwindleas more products come to market and competition becomes more intense.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. Using the tax shield approach to calculating OCF, we get:OCF = (Sales – Costs)(1 – t C) + t C DepreciationOCF = [($5 × 2,000 –($2 × 2,000)](1 –0.35) +0.35($10,000/5)OCF = $4,600So, the NPV of the project is:NPV = –$10,000 + $4,600(PVIFA17%,5)NPV = $4,7172. We will use the bottom-up approach to calculate the operatingcash flow for each year. We also must be sure to include the net working capital cash flows each year. So, the total cash flow each year will be:Year 1 Year 2 Year 3 Year 4 Sales Rs.7,000 Rs.7,000 Rs.7,000 Rs.7,000Costs 2,000 2,000 2,000 2,000Depreciation 2,500 2,500 2,500 2,500EBT Rs.2,500 Rs.2,500 Rs.2,500 Rs.2,500Tax 850 850 850 850Net income Rs.1,650 Rs.1,650 Rs.1,650 Rs.1,650OCF 0 Rs.4,150 Rs.4,150 Rs.4,150 Rs.4,150Capital spending –Rs.10,000 0 0 0 0NWC –200 –250 –300 –200 950 Incremental cashflow –Rs.10,200 Rs.3,900 Rs.3,850 Rs.3,950 Rs.5,100The NPV for the project is:NPV = –Rs.10,200 + Rs.3,900 / 1.10 + Rs.3,850 / 1.102+ Rs.3,950 / 1.103 + Rs.5,100 / 1.104NPV = Rs.2,978.333. U sing the tax shield approach to calculating OCF, we get:OCF = (Sales – Costs)(1 – t C) + t C DepreciationOCF = (R2,400,000 – 960,000)(1 – 0.30) + 0.30(R2,700,000/3) OCF = R1,278,000So, the NPV of the project is:NPV = –R2,700,000 + R1,278,000(PVIFA15%,3)NPV = R217,961.704.T he cash outflow at the beginning of the project will increasebecause of the spending on NWC. At the end of the project, the company will recover the NWC, so it will be a cash inflow. The sale of the equipment will result in a cash inflow, but we also must account for the taxes which will be paid on this sale. So, the cash flows for each year of the project will be:Year Cash Flow0 – R3,000,000 = –R2.7M – 300K1 1,278,0002 1,278,0003 1,725,000 = R1,278,000 + 300,000 + 210,000 + (0 – 210,000)(.30)And the NPV of the project is:NPV = –R3,000,000 + R1,278,000(PVIFA15%,2) + (R1,725,000 / 1.153) NPV = R211,871.465. First we will calculate the annual depreciation for theequipment necessary for the project. The depreciation amount each year will be:Year 1 depreciation = R2.7M(0.3330) = R899,100Year 2 depreciation = R2.7M(0.4440) = R1,198,800Year 3 depreciation = R2.7M(0.1480) = R399,600So, the book value of the equipment at the end of three years, which will be the initial investment minus the accumulated depreciation, is:Book value in 3 years = R2.7M –(R899,100 + 1,198,800 + 399,600)Book value in 3 years = R202,500The asset is sold at a gain to book value, so this gain is taxable.Aftertax salvage value = R202,500 + (R202,500 – 210,000)(0.30) Aftertax salvage value = R207,750To calculate the OCF, we will use the tax shield approach, so the cash flow each year is:OCF = (Sales – Costs)(1 – t C) + t C DepreciationYear Cash Flow0 – R3,000,000 = –R2.7M – 300K1 1,277,730.00 = (R1,440,000)(.70) + 0.30(R899,100)2 1,367,640.00 = (R1,440,000)(.70) + 0.30(R1,198,800)3 1,635,630.00 = (R1,440,000)(.70) + 0.30(R399,600) + R207,750 + 300,000Remember to include the NWC cost in Year 0, and the recovery of the NWC at the end of the project. The NPV of the project with these assumptions is:NPV = – R3.0M + (R1,277,730/1.15) + (R1,367,640/1.152) +(R1,635,630/1.153)NPV = R220,655.206. First, we will calculate the annual depreciation of the newequipment. It will be:Annual depreciation charge = €925,000/5Annual depreciation charge = €185,000The aftertax salvage value of the equipment is:Aftertax salvage value = €90,000(1 – 0.35)Aftertax salvage value = €58,500Using the tax shield approach, the OCF is:OCF = €360,000(1 – 0.35) + 0.35(€185,000)OCF = €298,750Now we can find the project IRR. There is an unusual feature that is a part of this project. Accepting this project means that we will reduce NWC. This reduction in NWC is a cash inflow at Year 0. This reduction in NWC implies that when the project ends, we will have to increase NWC. So, at the end of theproject, we will have a cash outflow to restore the NWC to its level before the project. We also must include the aftertax salvage value at the end of the project. The IRR of the project is:NPV = 0 = –€925,000 + 125,000 + €298,750(PVIFA IRR%,5) + [(€58,500 – 125,000) / (1+IRR)5]IRR = 23.85%7. First, we will calculate the annual depreciation of the newequipment. It will be:Annual depreciation = £390,000/5Annual depreciation = £78,000Now, we calculate the aftertax salvage value. The aftertax salvage value is the market price minus (or plus) the taxes on the sale of the equipment, so:Aftertax salvage value = MV + (BV – MV)t cVery often, the book value of the equipment is zero as it is in this case. If the book value is zero, the equation for the aftertax salvage value becomes:Aftertax salvage value = MV + (0 – MV)t cAftertax salvage value = MV(1 – t c)We will use this equation to find the aftertax salvage value since we know the book value is zero. So, the aftertax salvage value is:Aftertax salvage value = £60,000(1 – 0.34)Aftertax salvage value = £39,600Using the tax shield approach, we find the OCF for the project is:OCF = £120,000(1 – 0.34) + 0.34(£78,000)OCF = £105,720Now we can find the project NPV. Notice that we include the NWC in the initial cash outlay. The recovery of the NWC occurs in Year 5, along with the aftertax salvage value.NPV = –£390,000 –28,000 + £105,720(PVIFA10%,5) + [(£39,600 + 28,000) / 1.15]NPV = £24,736.268. To find the BV at the end of four years, we need to find theaccumulated depreciation for the first four years. We could calculate a table with the depreciation each year, but an easier way is to add the MACRS depreciation amounts for each of the first four years and multiply this percentage times the cost of the asset. We can then subtract this from the asset cost. Doing so, we get:BV4 = $9,300,000 – 9,300,000(0.2000 + 0.3200 + 0.1920 + 0.1150) BV4 = $1,608,900The asset is sold at a gain to book value, so this gain is taxable.Aftertax salvage value = $2,100,000 + ($1,608,900 –2,100,000)(.40)Aftertax salvage value = $1,903,5609. We will begin by calculating the initial cash outlay, that is,the cash flow at Time 0. To undertake the project, we will have to purchase the equipment and increase net working capital. So, the cash outlay today for the project will be:Equipment –€2,000,000NWC –100,000Total –€2,100,000Using the bottom-up approach to calculating the operating cash flow, we find the operating cash flow each year will be:Sales €1,200,000Costs 300,000Depreciation 500,000EBT €400,000Tax 140,000Net income €260,000The operating cash flow is:OCF = Net income + DepreciationOCF = €260,000 + 500,000OCF = €760,000To find the NPV of the project, we add the present value of the project cash flows. We must be sure to add back the net working capital at the end of the project life, since we are assuming the net working capital will be recovered. So, the project NPV is:NPV = –€2,100,000 + €760,000(PVIFA14%,4) + €100,000 / 1.144NPV = €173,629.3810.W e will need the aftertax salvage value of the equipment tocompute the EAC. Even though the equipment for each product hasa different initial cost, both have the same salvage value. Theaftertax salvage value for both is:Both cases: aftertax salvage value = $20,000(1 –0.35) = $13,000To calculate the EAC, we first need the OCF and NPV of each option. The OCF and NPV for Techron I is:OCF = – $34,000(1 – 0.35) + 0.35($210,000/3) = $2,400NPV = –$210,000 + $2,400(PVIFA14%,3) + ($13,000/1.143) = –$195,653.45EAC = –$195,653.45 / (PVIFA14%,3) = –$84,274.10And the OCF and NPV for Techron II is:OCF = – $23,000(1 – 0.35) + 0.35($320,000/5) = $7,450NPV = –$320,000 + $7,450(PVIFA14%,5) + ($13,000/1.145) = –$287,671.75EAC = –$287,671.75 / (PVIFA14%,5) = –$83,794.05The two milling machines have unequal lives, so they can only be compared by expressing both on an equivalent annual basis, which is what the EAC method does. Thus, you prefer the Techron II because it has the lower (less negative) annual cost.Intermediate11.F irst, we will calculate the depreciation each year, which willbe:D1 = ¥480,000(0.2000) = ¥96,000D2 = ¥480,000(0.3200) = ¥153,600D3 = ¥480,000(0.1920) = ¥92,160D4 = ¥480,000(0.1150) = ¥55,200The book value of the equipment at the end of the project is:BV4= ¥480,000 –(¥96,000 + 153,600 + 92,160 + 55,200) = ¥83,040The asset is sold at a loss to book value, so this creates a tax refund.After-tax salvage value = ¥70,000 + (¥83,040 – 70,000)(0.35) = ¥74,564.00So, the OCF for each year will be:OCF1 = ¥160,000(1 – 0.35) + 0.35(¥96,000) = ¥137,600.00OCF2 = ¥160,000(1 – 0.35) + 0.35(¥153,600) = ¥157,760.00OCF3 = ¥160,000(1 – 0.35) + 0.35(¥92,160) = ¥136,256.00OCF4 = ¥160,000(1 – 0.35) + 0.35(¥55,200) = ¥123,320.00Now we have all the necessary information to calculate the project NPV. We need to be careful with the NWC in this project.Notice the project requires ¥20,000 of NWC at the beginning, and ¥3,000 more in NWC each successive year. We will subtract the ¥20,000 from the initial cash flow, and subtract ¥3,000 each year from the OCF to account for this spending. In Year 4, we will add back the total spent on NWC, which is ¥29,000. The ¥3,000 spent on NWC capital during Year 4 is irrelevant. Why?Well, during this year the project required an additional ¥3,000, but we would get the money back immediately. So, thenet cash flow for additional NWC would be zero. With all this, the equation for the NPV of the project is:NPV = –¥480,000 –20,000 + (¥137,600 –3,000)/1.14 + (¥157,760 – 3,000)/1.142+ (¥136,256 –3,000)/1.143+ (¥123,320 + 29,000 + 74,564)/1.144NPV = –¥38,569.4812.I f we are trying to decide between two projects that will notbe replaced when they wear out, the proper capital budgeting method to use is NPV. Both projects only have costs associated with them, not sales, so we will use these to calculate the NPV of each project. Using the tax shield approach to calculate the OCF, the NPV of System A is:OCF A = –元120,000(1 – 0.34) + 0.34(元430,000/4)OCF A = –元42,650NPV A = –元430,000 –元42,650(PVIFA20%,4)NPV A = –元540,409.53And the NPV of System B is:OCF B = –元80,000(1 – 0.34) + 0.34(元540,000/6)OCF B = –元22,200NPV B = –元540,000 –元22,200(PVIFA20%,6)NPV B = –元613,826.32If the system will not be replaced when it wears out, then System A should be chosen, because it has the more positive NPV.13.If the equipment will be replaced at the end of its useful life,the correct capital budgeting technique is EAC. Using the NPVs we calculated in the previous problem, the EAC for each system is:EAC A = –元540,409.53 / (PVIFA20%,4)EAC A = –元208,754.32EAC B = –元613,826.32 / (PVIFA20%,6)EAC B = –元184,581.10If the conveyor belt system will be continually replaced, we should choose System B since it has the more positive NPV.14.S ince we need to calculate the EAC for each machine, sales areirrelevant. EAC only uses the costs of operating the equipment, not the sales. Using the bottom up approach, or net income plus depreciation, method to calculate OCF, we get:Machine A Machine BVariable costs –₪3,150,000 –₪2,700,000Fixed costs –150,000 –100,000Depreciation –350,000 –500,000EBT –₪3,650,000 –₪3,300,000Tax 1,277,500 1,155,000Net income –₪2,372,500 –₪2,145,000+ Depreciation 350,000 500,000OCF –₪2,022,500 –₪1,645,000The NPV and EAC for Machine A is:NPV A = –₪2,100,000 –₪2,022,500(PVIFA10%,6) NPV A = –₪10,908,514.76EAC A = –₪10,908,514.76 / (PVIFA10%,6)EAC A = –₪2,504,675.50And the NPV and EAC for Machine B is:NPV B = –₪4,500,000 – 1,645,000(PVIFA10%,9)NPV B = –₪13,973,594.18EAC B = –₪13,973,594.18 / (PVIFA10%,9)EAC B = –₪2,426,382.43You should choose Machine B since it has a more positive EAC.15.W hen we are dealing with nominal cash flows, we must be carefulto discount cash flows at the nominal interest rate, and we must discount real cash flows using the real interest rate.Project A’s cash flows are in real terms, so we need to find the real interest rate. Using the Fisher equation, the real interest rate is:1 + R = (1 + r)(1 + h)1.15 = (1 + r)(1 + .04)r = .1058 or 10.58%So, the NPV of Project A’s real cash flows, discounting at the real interest rate, is:NPV = –฿40,000 + ฿20,000 / 1.1058 + ฿15,000 / 1.10582 + ฿15,000 / 1.10583NPV = ฿1,448.88Project B’s cash flow are in nominal terms, so the NPV discount at the nominal interest rate is:NPV = –฿50,000 + ฿10,000 / 1.15 + ฿20,000 / 1.152+ ฿40,000 /1.153NPV = ฿119.17We should accept Project A if the projects are mutually exclusive since it has the highest NPV.16.T o determine the value of a firm, we can simply find thepre sent value of the firm’s future cash flows. No depreciation is given, so we can assume depreciation is zero. Using the tax shield approach, we can find the present value of the aftertax revenues, and the present value of the aftertax costs. The required return, growth rates, price, and costs are all given in real terms. Subtracting the costs from the revenues will give us the value of the firm’s cash flows. We must calculate the present value of each separately since each is growing at a different rate. First, we will find the present value of the revenues. The revenues in year 1 will be the number of bottles sold, times the price per bottle, or:Aftertax revenue in year 1 in real terms = (2,000,000 ×$1.50)(1 – 0.34)Aftertax revenue in year 1 in real terms = $1,650,000Revenues will grow at six percent per year in real terms forever. Apply the growing perpetuity formula, we find the present value of the revenues is:PV of revenues = C1 / (R–g)PV of revenues = $1,650,000 / (0.10 – 0.06)PV of revenues = $41,250,000The real aftertax costs in year 1 will be:Aftertax costs in year 1 in real terms = (2,000,000 ×$0.65)(1 – 0.34)Aftertax costs in year 1 in real terms = $858,000Costs will grow at five percent per year in real terms forever.Applying the growing perpetuity formula, we find the present value of the costs is:PV of costs = C1 / (R–g)PV of costs = $858,000 / (0.10 – 0.05)PV of costs = $17,160,000Now we can find the value of the firm, which is:Value of the firm = PV of revenues – PV of costsValue of the firm = $41,250,000 – 17,160,000Value of the firm = $24,090,00017.To calculate the nominal cash flows, we simple increase eachitem in the income statement by the inflation rate, except for depreciation. Depreciation is a nominal cash flow, so it does not need to be adjusted for inflation in nominal cash flow analysis. Since the resale value is given in nominal terms as of the end of year 5, it does not need to be adjusted for inflation. Also, no inflation adjustment is needed for either the depreciation charge or the recovery of net working capital since these items are already expressed in nominal terms. Note that an increase in required net working capital is a negative cash flow whereas a decrease in required net working capital isa positive cash flow. The nominal aftertax salvage value is:Market price $30,000Tax on sale –10,200Aftertax salvage value $19,800Remember, to calculate the taxes paid (or tax credit) on the salvage value, we take the book value minus the market value, times the tax rate, which, in this case, would be:Taxes on salvage value = (BV – MV)t CTaxes on salvage value = ($0 – 30,000)(.34)Taxes on salvage value = –$10,200Now we can find the nominal cash flows each year using the income statement. Doing so, we find:Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 Sales $200,000 $206,000 $212,180 $218,545 $225,102Expenses 50,000 51,500 53,045 54,636 56,275Depreciation 50,000 50,000 50,000 50,000 50,000EBT $100,000 $104,500 $109,135 $113,909 $118,826Tax 34,000 35,530 37,106 38,729 40,401Net income $66,000 $68,970 $72,029 $75,180 $78,425OCF $116,000 $118,970 $122,029 $125,180 $128,425Capital spending –$250,000 $19,800NWC –10,000 10,000Total cash flow –$260,000 $116,000 $118,970 $122,029 $125,180 $158,22518.T he present value of the company is the present value of thefuture cash flows generated by the company. Here we have real cash flows, a real interest rate, and a real growth rate. The cash flows are a growing perpetuity, with a negative growth rate. Using the growing perpetuity equation, the present value of the cash flows are:PV = C1 / (R–g)PV = $120,000 / [.11 – (–.07)]PV = $666,666.6719.T o find the EAC, we first need to calculate the NPV of theincremental cash flows. We will begin with the aftertax salvage value, which is:Taxes on salvage value = (BV – MV)t CTaxes on salvage value = (€0 – 10,000)(.34)Taxes on salvage value = –€3,400Market price €10,000Tax on sale –3,400Aftertax salvage value €6,600Now we can find the operating cash flows. Using the tax shield approach, the operating cash flow each year will be:OCF = –€5,000(1 – 0.34) + 0.34(€45,000/3)OCF = €1,800So, the NPV of the cost of the decision to buy is:NPV = –€45,000 + €1,800(PVIFA12%,3) + (€6,600/1.123)NPV = –€35,987.95In order to calculate the equivalent annual cost, set the NPV of the equipment equal to an annuity with the same economic life. Since the project has an economic life of three years and is discounted at 12 percent, set the NPV equal to a three-year annuity, discounted at 12 percent.EAC = –€35,987.95 / (PVIFA12%,3)EAC = –€14,979.8020.W e will find the EAC of the EVF first. There are no taxes sincethe university is tax-exempt, so the maintenance costs are the operating cash flows. The NPV of the decision to buy one EVF is:NPV = –₩8,000 –₩2,000(PVIFA14%,4)NPV = –₩13,827.42In order to calculate the equivalent annual cost, set the NPV of the equipment equal to an annuity with the same economic life. Since the project has an economic life of four years and is discounted at 14 percent, set the NPV equal to a three-year annuity, discounted at 14 percent. So, the EAC per unit is:EAC = –₩13,827.42 / (PVIFA14%,4)EAC = –₩4,745.64Since the university must buy 10 of the word processors, the total EAC of the decision to buy the EVF word processor is:Total EAC = 10(–₩4,745.64)Total EAC = –₩47,456.38Note, we could have found the total EAC for this decision by multiplying the initial cost by the number of word processors needed, and multiplying the annual maintenance cost of each by the same number. We would have arrived at the same EAC.We can find the EAC of the AEH word processors using the same method, but we need to include the salvage value as well. Thereare no taxes on the salvage value since the university is tax-exempt, so the NPV of buying one AEH will be:NPV = –₩5,000 –₩2,500(PVIFA14%,3) + (₩500/1.143)NPV = –₩10,466.59So, the EAC per machine is:EAC = –₩10,466.59 / (PVIFA14%,3)EAC = –₩4,508.29Since the university must buy 11 of the word processors, the total EAC of the decision to buy the AEH word processor is:Total EAC = 11(–₩4,508.29)Total EAC = –₩49,591.21The university should buy the EVF word processors since the EAC is lower. Notice that the EAC of the AEH is lower on a per machine basis, but because the university needs more of these word processors, the total EAC is higher.21.W e will calculate the aftertax salvage value first. Theaftertax salvage value of the equipment will be:Taxes on salvage value = (BV – MV)t CTaxes on salvage value = (₫0 – 100,000)(.34)Taxes on salvage value = –₫34,000Market price ₫100,000Tax on sale –34,000Aftertax salvage value ₫66,000Next, we will calculate the initial cash outlay, that is, the cash flow at Time 0. To undertake the project, we will have to purchase the equipment. The new project will decrease the net working capital, so this is a cash inflow at the beginning of the project. So, the cash outlay today for the project will be:Equipment –₫500,000NWC 100,000Total –₫400,000Now we can calculate the operating cash flow each year for the project. Using the bottom up approach, the operating cash flow will be:Saved salaries ₫120,000Depreciation 100,000EBT ₫20,000。

公司理财第九版罗斯课后案例答案 Case Solutions Corporate Finance

公司理财第九版罗斯课后案例答案 Case Solutions CorporateFinance1. 案例一：公司资金需求分析问题：一家公司需要资金支持其新项目。

通过分析现金流量，推断该公司是否需要向外部借款或筹集其他资金。

解答：为了确定公司是否需要外部资金，我们需要分析公司的现金流量状况。

首先，我们需要计算公司的净现金流量（净收入加上非现金项目）。

然后，我们需要将净现金流量与项目的投资现金流量进行对比。

假设公司预计在项目开始时投资100万美元，并在项目运营期为5年。

预计该项目每年将产生50万美元的净现金流量。

现在，我们需要进行以下计算：净现金流量 = 年度现金流量 - 年度投资现金流量年度投资现金流量 = 100万美元年度现金流量 = 50万美元净现金流量 = 50万美元 - 100万美元 = -50万美元根据计算结果，公司的净现金流量为负数（即净现金流出），意味着公司每年都会亏损50万美元。

因此，公司需要从外部筹集资金以支持项目的运营。

2. 案例二：公司股权融资问题：一家公司正在考虑通过股权融资来筹集资金。

根据公司的财务数据和资本结构分析，我们需要确定公司最佳的股权融资方案。

解答：为了确定最佳的股权融资方案，我们需要参考公司的财务数据和资本结构分析。

首先，我们需要计算公司的资本结构比例，即股本占总资本的比例。

然后，我们将不同的股权融资方案与资本结构比例进行对比，选择最佳的方案。

假设公司当前的资本结构比例为60%的股本和40%的债务，在当前的资本结构下，公司的加权平均资本成本（WACC）为10%。

现在，我们需要进行以下计算：•方案一：以新股发行筹集1000万美元，并将其用于项目投资。

在这种方案下，公司的资本结构比例将发生变化。

假设公司的股本增加至80%，债务比例减少至20%。

根据资本结构比例的变化，WACC也将发生变化。

新的WACC可以通过以下公式计算得出：新的WACC = (股本比例 * 股本成本) + (债务比例 * 债务成本)假设公司的股本成本为12%，债务成本为8%：新的WACC = (0.8 * 12%) + (0.2 * 8%) = 9.6%•方案二：以新股发行筹集5000万美元，并将其用于项目投资。

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。

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CHAPTER 9Risk Analysis, Real Options, and Capital Budgeting Multiple Choice Questions:I、DEFINITIONSSCENARIO ANALYSISb 1、An analysis of what happens to the estimate of the net present value when you examinea number of different likely situations is called _____ analysis、a、forecastingb、scenarioc、sensitivityd、simulatione、break-evenDifficulty level: EasySENSITIVITY ANALYSISc 2、An analysis of what happens to the estimate of net present value when only onevariable is changed is called _____ analysis、a、forecastingb、scenarioc、sensitivityd、simulatione、break-evenDifficulty level: EasySIMULATION ANALYSISd 3、An analysis which combines scenario analysis with sensitivity analysis is called _____analysis、a、forecastingb、scenarioc、sensitivityd、simulatione、break-evenDifficulty level: EasyBREAK-EVEN ANALYSISe 4、An analysis of the relationship between the sales volume and various measures ofprofitability is called _____ analysis、a、forecastingb、scenarioc、sensitivityd、simulatione、break-evenDifficulty level: EasyVARIABLE COSTSa 5、Variable costs:a、change in direct relationship to the quantity of output produced、b、are constant in the short-run regardless of the quantity of output produced、c、reflect the change in a variable when one more unit of output is produced、d、are subtracted from fixed costs to compute the contribution margin、e、form the basis that is used to determine the degree of operating leverage employed by afirm、Difficulty level: EasyFIXED COSTSb 6、Fixed costs:a、change as the quantity of output produced changes、b、are constant over the short-run regardless of the quantity of output produced、c、reflect the change in a variable when one more unit of output is produced、d、are subtracted from sales to compute the contribution margin、e、can be ignored in scenario analysis since they are constant over the life of a project、Difficulty level: EasyACCOUNTING BREAK-EVENc 7、The sales level that results in a project’s net income exactly equaling zero is called the_____ break-even、a、operationalb、leveragedc、accountingd、cashe、present valueDifficulty level: EasyPRESENT VALUE BREAK-EVENe 8、The sales level that results in a project’s net present value exactly equaling zero iscalled the _____ break-even、a、operationalb、leveragedc、accountingd、cashe、present valueDifficulty level: EasyII、 CONCEPTSSCENARIO ANALYSISb 9、Conducting scenario analysis helps managers see the:a、impact of an individual variable on the outcome of a project、b、potential range of outcomes from a proposed project、c、changes in long-term debt over the course of a proposed project、d、possible range of market prices for their stock over the life of a project、e、allocation distribution of funds for capital projects under conditions of hard rationing、Difficulty level: EasySENSITIVITY ANALYSISb 10、S ensitivity analysis helps you determine the:a、range of possible outcomes given possible ranges for every variable、b、degree to which the net present value reacts to changes in a single variable、c、net present value given the best and the worst possible situations、d、degree to which a project is reliant upon the fixed costs、e、level of variable costs in relation to the fixed costs of a project、Difficulty level: EasySENSITIVITY ANALYSISc 11、A s the degree of sensitivity of a project to a single variable rises, the:a、lower the forecasting risk of the project、b、smaller the range of possible outcomes given a pre-defined range of values for theinput、c、more attention management should place on accurately forecasting the futurevalue ofthat variable、d、lower the maximum potential value of the project、e、lower the maximum potential loss of the project、Difficulty level: MediumSENSITIVITY ANALYSISc 12、S ensitivity analysis is conducted by:a、holding all variables at their base level and changing the required rate of returnassigned to a project、b、changing the value of two variables to determine their interdependency、c、changing the value of a single variable and computing the resulting change in thecurrent value of a project、d、assigning either the best or the worst possible value to each variable and comparing theresults to those achieved by the base case、e、managers after a project has been implemented to determine how each variable relatesto the level of output realized、Difficulty level: MediumSENSITIVITY ANALYSISd 13、T o ascertain whether the accuracy of the variable cost estimate for a project will havemuch effect on the final outcome of the project, you should probably conduct _____analysis、a、leverageb、scenarioc、break-evend、sensitivitye、cash flowDifficulty level: EasySIMULATIONd 14、S imulation analysis is based on assigning a _____ and analyzing the results、a、narrow range of values to a single variableb、narrow range of values to multiple variables simultaneouslyc、wide range of values to a single variabled、wide range of values to multiple variables simultaneouslye、single value to each of the variablesDifficulty level: MediumSIMULATIONe 15、T he type of analysis that is most dependent upon the use of a computer is _____analysis、a、scenariob、break-evenc、sensitivityd、degree of operating leveragee、simulationDifficulty level: EasyVARIABLE COSTSd 16、W hich one of the following is most likely a variable cost?a、office rentb、property taxesc、property insuranced、direct labor costse、management salariesDifficulty level: EasyVARIABLE COSTSa 17、W hich of the following statements concerning variable costs is (are) correct?I、Variable costs minus fixed costs equal marginal costs、II、Variable costs are equal to zero when production is equal to zero、III、A n increase in variable costs increases the operating cash flow、a、II onlyb、III onlyc、I and III onlyd、II and III onlye、I and II onlyDifficulty level: MediumVARIABLE COSTSa 18、A ll else constant, as the variable cost per unit increases, the:a、contribution margin decreases、b、sensitivity to fixed costs decreases、c、degree of operating leverage decreases、d、operating cash flow increases、e、net profit increases、Difficulty level: MediumFIXED COSTSc 19、F ixed costs:I、are variable over long periods of time、II、must be paid even if production is halted、III、a re generally affected by the amount of fixed assets owned by a firm、IV、p er unit remain constant over a given range of production output、a、I and III onlyb、II and IV onlyc、I, II, and III onlyd、I, II, and IV onlye、I, II, III, and IVDifficulty level: MediumCONTRIBUTION MARGINc 20、T he contribution margin must increase as:a、both the sales price and variable cost per unit increase、b、the fixed cost per unit declines、c、the gap between the sales price and the variable cost per unit widens、d、sales price per unit declines、e、the sales price minus the fixed cost per unit increases、Difficulty level: MediumACCOUNTING BREAK-EVENa 21、W hich of the following statements are correct concerning the accounting break-evenpoint?I、The net income is equal to zero at the accounting break-even point、II、The net present value is equal to zero at the accounting break-even point、III、T he quantity sold at the accounting break-even point is equal to the total fixed costs plus depreciation divided by the contribution margin、IV、T he quantity sold at the accounting break-even point is equal to the total fixed costs divided by the contribution margin、a、I and III onlyb、I and IV onlyc、II and III onlyd、II and IV onlye、I, II, and IV onlyDifficulty level: MediumACCOUNTING BREAK-EVENb 22、A ll else constant, the accounting break-even level of sales will decrease when the:a、fixed costs increase、b、depreciation expense decreases、c、contribution margin decreases、d、variable costs per unit increase、e、selling price per unit decreases、Difficulty level: MediumPRESENT VALUE BREAK-EVENd 23、T he point where a project produces a rate of return equal to the required return isknown as the:a、point of zero operating leverage、b、internal break-even point、c、accounting break-even point、d、present value break-even point、e、internal break-even point、Difficulty level: EasyPRESENT VALUE BREAK-EVENb 24、W hich of the following statements are correct concerning the present value break-evenpoint of a project?I、The present value of the cash inflows equals the amount of the initial investment、II、The payback period of the project is equal to the life of the project、III、T he operating cash flow is at a level that produces a net present value of zero、IV、T he project never pays back on a discounted basis、a、I and II onlyb、I and III onlyc、II and IV onlyd、III and IV onlye、I, III, and IV onlyDifficulty level: MediumINVESTMENT TIMING DECISIONb 25、T he investment timing decision relates to:a、how long the cash flows last once a project is implemented、b、the decision as to when a project should be started、c、how frequently the cash flows of a project occur、d、how frequently the interest on the debt incurred to finance a project is compounded、e、the decision to either finance a project over time or pay out the initial cost in cash、Difficulty level: MediumOPTION TO WAITe 26、T he timing option that gives the option to wait:I、may be of minimal value if the project relates to a rapidly changing technology、II、is partially dependent upon the discount rate applied to the project being evaluated、III、i s defined as the situation where operations are shut down for a period of time、IV、h as a value equal to the net present value of the project if it is started today versus the net present value if it is started at some later date、a、I and III onlyb、II and IV onlyc、I and II onlyd、II, III, and IV onlye、I, II, and IV onlyDifficulty level: ChallengeOPTION TO EXPANDb 27、L ast month you introduced a new product to the market、 Consumer demand has beenoverwhelming and appears that strong demand will exist over the long-term、 Given thissituation, management should consider the option to:a、suspend、b、expand、c、abandon、d、contract、e、withdraw、Difficulty level: EasyOPTION TO EXPANDc 28、I ncluding the option to expand in your project analysis will tend to:a、extend the duration of a project but not affect the project’s net present value、b、increase the cash flows of a project but decrease the project’s net present value、c、increase the net present value of a project、d、decrease the net present value of a project、e、have no effect on either a project’s cash flows or its net present value、Difficulty level: MediumSENSITIVITY AND SENARIO ANALYSISd 29、 Theoretically, the NPV is the most appropriate method to determine the acceptabilityof a project、 A false sense of security can be overwhelm the decision-maker whenthe procedure is applied properly and the positive NPV results are accepted blindly、Sensitivity and scenario analysis aid in the process bya、changing the underlying assumptions on which the decision is based、b、highlights the areas where more and better data are needed、c、providing a picture of how an event can affect the calculations、d、All of the above、e、None of the above、Difficulty level: MediumDECSION TREEa 30、 In order to make a decision with a decision treea、one starts farthest out in time to make the first decision、b、one must begin at time 0、c、any path can be taken to get to the end、d、any path can be taken to get back to the beginning、e、None of the above、Difficulty level: MediumDECISION TREEc 31、 In a decision tree, the NPV to make the yes/no decision is dependent ona、only the cash flows from successful path、b、on the path where the probabilities add up to one、c、all cash flows and probabilities、d、only the cash flows and probabilities of the successful path、e、None of the above、Difficulty level: MediumDECISION TREEe 32、 In a decision tree, caution should be used in analysis becausea、early stage decisions are probably riskier and should not likely use the same discountrate、b、if a negative NPV is actually occurring, management should opt out of the project andminimize their loss、c、decision trees are only used for planning, not actually daily management、d、Both A and C、e、Both A and B、Difficulty level: MediumSENSITIVITY ANALYSISd 33、 Sensitivity analysis evaluates the NPV with respect toa、changes in the underlying assumptions、b、one variable changing while holding the others constant、c、different economic conditions、d、All of the above、e、None of the above、Difficulty level: MediumSENSITIVITY ANALYSISd 34、 Sensitivity analysis provides information ona、whether the NPV should be trusted, it may provide a false sense of security if allNPVs are positive、b、the need for additional information as it tests each variable in isolation、c、the degree of difficulty in changing multiple variables together、d、Both A and B、e、Both A and C、Difficulty level: MediumFIXED COSTSb 35、 Fixed production costs area、directly related to labor costs、b、measured as cost per unit of time、c、measured as cost per unit of output、d、dependent on the amount of goods or services produced、e、None of the above、Difficulty level: MediumVARIABLE COSTSd 36、 Variable costsa、change as the quantity of output changes、b、are zero when production is zero、c、are exemplified by direct labor and raw materials、d、All of the above、e、None of the above、Difficulty level: EasySENSITIVITY ANALYSISb 37、 An investigation of the degree to which NPV depends on assumptions made about anysingular critical variable is called a(n)a、operating analysis、b、sensitivity analysis、c、marginal benefit analysis、d、decision tree analysis、e、None of the above、Difficulty level: EasySENSITIVITY AND SCENARIOS ANALYSISb 38、 Scenario analysis is different than sensitivity analysisa、as no economic forecasts are changed、b、as several variables are changed together、c、because scenario analysis deals with actual data versus sensitivity analysis which dealswith a forecast、d、because it is short and simple、e、because it is 'by the seat of the pants' technique、Difficulty level: MediumEQUIVALENT ANNUAL COSTc 39、 In the present-value break-even the EAC is used toa、determine the opportunity cost of investment、b、allocate depreciation over the life of the project、c、allocate the initial investment at its opportunity cost over the life of the project、d、determine the contribution margin to fixed costs、e、None of the above、Difficulty level: MediumBREAK-EVENb 40、 The present value break-even point is superior to the accounting break-even pointbecausea、present value break-even is more complicated to calculate、b、present value break-even covers the economic opportunity costs of the investment、c、present value break-even is the same as sensitivity analysis、d、present value break-even covers the fixed costs of production, which the accountingbreak-even does not、e、present value break-even covers the variable costs of production, which the accountingbreak-even does not、Difficulty level: EasyABANDONMENTd 41、 The potential decision to abandon a project has option value becausea、abandonment can occur at any future point in time、b、 a project may be worth more dead than alive、c、management is not locked into a negative outcome、d、All of the above、e、None of the above、Difficulty level: EasyTYPES OF BREAK-EVEN ANALYSISd 42、 Which of the following are types of break-even analysis?a、present value break-evenb、accounting profit break-evenc、market value break-evend、Both A and B、e、Both A and C、Difficulty level: EasyMONTE CARLO SIMULATIONc 43、 The approach that further attempts to model real word uncertainty by analyzingprojects the way one might analyze gambling strategies is calleda、gamblers approach、b、blackjack approach、c、Monte Carlo simulation、d、scenario analysis、e、sensitivity analysis、Difficulty level: MediumMONTE CARLO SIMULATIONc 44、 Monte Carlo simulation isa、the most widely used by executives、b、 a very simple formula、c、provides a more complete analysis that sensitivity or scenario、d、the oldest capital budgeting technique、e、None of the above、Difficulty level: EasyOPTIONS IN CAPITAL BUDGETINGd 45、 Which of the following are hidden options in capital budgeting?a、option to expand、b、timing option、c、option to abandon、d、All of the above、e、None of the above、Difficulty level: EasyIII、PROBLEMSUse this information to answer questions 46 through 50、The Adept Co、 is analyzing a proposed project、 The company expects to sell 2,500 units, give or take 10 percent、 The expected variable cost per unit is $8 and theexpected fixed costs are $12,500、 Cost estimates are considered accurate within a plus or minus 5 percent range、 The depreciation expense is $4,000、 The sale price isestimated at $16 a unit, give or take 2 percent、 The company bases their sensitivityanalysis on the expected case scenario、SCENARIO ANALYSISd 46、W hat is the sales revenue under the optimistic case scenario?a、$40,000b、$43,120c、$44,000d、$44,880e、$48,400Difficulty level: MediumSCENARIO ANALYSISd 47、W hat is the contribution margin under the expected case scenario?a、$2、67b、$3、00c、$7、92d、$8、00e、$8、72Difficulty level: MediumSCENARIO ANALYSISc 48、W hat is the amount of the fixed cost per unit under the pessimistic case scenario?a、$4、55b、$5、00c、$5、83d、$6、02e、$6、55Difficulty level: MediumSENSITIVITY ANALYSISb 49、T he company is conducting a sensitivity analysis on the sales price using a salesprice estimate of $17、 Using this value, the earnings before interest and taxes will be:a、$4,000b、$6,000c、$8,500d、$10,000e、$18,500Difficulty level: MediumSENSITIVITY ANALYSISb 50、T he company conducts a sensitivity analysis using a variable cost of $9、 The totalvariable cost estimate will be:a、$21,375b、$22,500c、$23,625d、$24,125e、$24,750Difficulty level: MediumUse this information to answer questions 51 through 55、The Can-Do Co、 is analyzing a proposed project、 The company expects to sell 12,000 units, give or take 4 percent、 The expected variable cost per unit is $7 and the expected fixed cost is $36,000、 The fixed and variable cost estimates are considered accuratewithin a plus or minus 6 percent range、 The depreciation expense is $30,000、 The tax rate is 34 percent、 The sale price is estimated at $14 a unit, give or take 5 percent、 The company bases their sensitivity analysis on the expected case scenario、SCENARIO ANALYSISa 51、W hat is the earnings before interest and taxes under the expected case scenario?a、$18,000b、$24,000c、$36,000d、$48,000e、$54,000Difficulty level: MediumSCENARIO ANALYSISc 52、W hat is the earnings before interest and taxes under anoptimistic case scenario?a、$22,694、40b、$24,854、40c、$37,497、60d、$52,694、40e、$67,947、60Difficulty level: ChallengeSCENARIO ANALYSISb 53、W hat is the earnings before interest and taxes under the pessimistic case scenario?a、-$566、02b、-$422、40c、-$278、78d、$3,554、50e、$5,385、60Difficulty level: ChallengeSENSITIVITY ANALYSISd 54、W hat is the operating cash flow for a sensitivity analysis using total fixed costs of$32,000?a、$14,520b、$16,520c、$22,000d、$44,520e、$52,000Difficulty level: MediumSENSITIVITY ANALYSISd 55、W hat is the contribution margin for a sensitivity analysis using a variable cost per unitof $8?a、$3b、$4c、$5d、$6e、$7Difficulty level: MediumVARIABLE COSTc 56、A firm is reviewing a project with labor cost of $8、90 per unit, raw materials cost of$21、63 a unit, and fixed costs of $8,000 a month、 Sales are projected at 10,000 unitsover the three-month life of the project、 What are the total variable costs of theproject?a、$216,300b、$297,300c、$305,300d、$313,300e、$329,300Difficulty level: MediumVARIABLE COSTd 57、A project has earnings before interest and taxes of $5,750, fixed costs of $50,000, aselling price of $13 a unit, and a sales quantity of 11,500 units、 Depreciation is$7,500、What is the variable cost per unit?a、$6、75b、$7、00c、$7、25d、$7、50e、$7、75Difficulty level: MediumFIXED COSTb 58、A t a production level of 5,600 units a project has total costs of $89,000、 The variablecost per unit is $11、20、 What is the amount of the total fixed costs?a、$24,126b、$26,280c、$27,090d、$27,820e、$28,626Difficulty level: MediumFIXED COSTe 59、A t a production level of 6,000 units a project has total costs of $120,000、 Thevariable cost per unit is $14、50、 What is the amount of the total fixed costs?a、$25,165b、$28,200c、$30,570d、$32,000e、$33,000Difficulty level: MediumCONTRIBUTION MARGINc 60、W ilson’s Meats has computed their fixed costs to be $、60 for every pound of meatthey sell given an average daily sales level of 500 pounds、 They charge $3、89 perpound of top-grade ground beef、 The variable cost per pound is $2、99、 What is thecontribution margin per pound of ground beef sold?a、$、30b、$、60c、$、90d、$2、99e、$3、89Difficulty level: MediumCONTRIBUTION MARGINe 61、R alph and Emma’s is considering a project with total sales of $17,500, total variablecosts of $9,800, total fixed costs of $3,500, and estimated production of 400 units、Thedepreciation expense is $2,400 a year、 What is the contribution margin per unit?a、$4、50b、$10、50c、$14、14d、$19、09e、$19、25Difficulty level: MediumACCOUNTING BREAK-EVENa 62、Y ou are considering a new project、 The project has projected depreciation of $720,fixed costs of $6,000, and total sales of $11,760、 The variable cost per unit is$4、20、 What is the accounting break-even level of production?a、1,200 unitsb、1,334 unitsc、1,372 unitsd、1,889 unitse、1,910 unitsDifficulty level: MediumACCOUNTING BREAK-EVENb 63、T he accounting break-even production quantity for a project is 5,425 units、 The fixedcosts are $31,600 and the contribution margin is $6、 What is the projecteddepreciation expense?a、$700b、$950c、$1,025d、$1,053e、$1,100Difficulty level: MediumACCOUNTING BREAK-EVENd 64、A project has an accounting break-even point of 2,000 units、 The fixed costs are$4,200 and the depreciation expense is $400、 The projected variable cost per unit is$23、10、 What is the projected sales price?a、$20、80b、$21、00c、$21、20d、$25、40e、$25、60Difficulty level: MediumACCOUNTING BREAK-EVENa 65、A proposed project has fixed costs of $3,600, depreciation expense of $1,500, and asales quantity of 1,300 units、 What is the contribution margin if the projected level ofsales is the accounting break-even point?a、$3、92b、$4、14c、$4、50d、$4、80e、$5、00Difficulty level: MediumPRESENT VALUE BREAK-EVENc 66、A project has a contribution margin of $5, projected fixed costs of $12,000, projectedvariable cost per unit of $12, and a projected present value break-even point of 5,000units、 What is the operating cash flow at this level of output?a、$1,000b、$12,000c、$13,000d、$68,000e、$73,000Difficulty level: MediumPRESENT VALUE BREAK-EVENa 67、T hompson & Son have been busy analyzing a new product、 They have determined thatan operating cash flow of $16,700 will result in a zero net present value, which is acompany requirement for project acceptance、 The fixed costs are $12,378 and thecontribution margin is $6、20、 The company feels that they can realistically capture10 percent of the 50,000 unit market for this product、 Should the company develop the new product? Why or why not?a、yes; because 5,000 units of sales exceeds the quantity required for a zero net presentvalueb、yes; because the internal break-even point is less than 5,000 unitsc、no; because the firm can not generate sufficient sales to obtain at least a zero netpresent valued、no; because the project has an expected internal rate of return of negative 100percente、no; because the project will not pay back on a discounted basisDifficulty level: ChallengePRESENT VALUE BREAK-EVENe 68、K urt Neal and Son is considering a project with a discounted payback just equal to theproject’s life、 The projections include a sales price of $11, variable cost per unit of$8、50, and fixed costs of $4,500、 The operating cash flow is $6,200、 What is the break-even quantity?a、1,800 unitsb、2,480 unitsc、3,057 unitsd、3,750 unitse、4,280 unitsDifficulty level: MediumDECISION TREE NET PRESENT VALUEb 69、 At stage 2 of the decision tree it shows that if a project is successful, the payoff will be$53,000 with a 2/3 chance of occurrence、 There is also the 1/3 chance of a $-24,000payoff、 The cost of getting to stage 2 (1 year out) is $44,000、 The cost of capitalis 15%、 What is the NPV of the project at stage 1?a、$-13,275b、$-20,232c、$ 2,087d、$ 7,536e、Can not be calculated without the exact timing of future cash flows、Difficulty level: Mediumpresent value?a、$ 48、6 millionb、$ 80、9 millionc、$108、2 milliond、$181、4 millione、None of the above、Difficulty level: ChallengeDECISION TREEb 71、 If the company has a discount rate of 17%, should they decide to invest?a、yes, NPV = $ 2、2 millionb、yes, NPV = $ 21、6 millionc、no, NPV = $-1、9 milliond、yes, NPV = $ 8、6 millione、No, since more than one branch is NPV = 0 or negative you must reject、Difficulty level: ChallengeACCOUNTING BREAK-EVENe 72、 The Mini-Max Company has the following cost information on their new prospectiveproject、 Calculate the accounting break-even point、Initial investment: $700Fixed costs: $200 per yearVariable costs: $3 per unitDepreciation: $140 per year、Price: $8 per unitDiscount rate: 12%Project life: 5 yearsTax rate: 34%a、25 units per yearb、68 units per yearc、103 units per yeard、113 units per yeare、None of the above、Difficulty level: MediumPRESENT VALUE BREAK-EVENd 73、 The Mini-Max Company has the following cost information on their new prospectiveproject、 Calculate the present value break-even point、Initial investment: $700Fixed costs are $ 200 per yearVariable costs: $ 3 per unitDepreciation: $ 140 per yearPrice: $8 per unitDiscount rate: 12%Project life: 3 yearsTax rate: 34%a、68 units per yearb、75 units per yearc、84 units per yeard、114 units per yeare、None of the above、Difficulty level: ChallengeACCOUNTING BREAK-EVENd 74、 From the information below, calculate the accounting break-even point、Initial investment: $2,000Fixed costs are $2,000 per yearVariable costs: $6 per unitDepreciation: $250 per yearPrice: $20 per unitDiscount rate: 10%Project life: 4 yearsTax rate: 34%a、88 units per yearb、100 units per yearc、143 units per yeard、161 units per yeare、None of the above、Difficulty level: ChallengePRESENT VALUE BREAK-EVENc 75、 Given the following information, calculate the present value break-even point、Initial investment: $2,000Fixed costs: $2,000 per yearVariable costs: $6 per unitDepreciation: $ 250 per yearPrice: $20 per unitDiscount rate: 10%Project life: 4 yearsTax rate: 34%a、100 units per yearb、143 units per yearc、202 units per yeard、286 units per yeare、None of the above、Difficulty level: ChallengeTIMING OPTIONS。