公司理财Cases
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。
公司理财 课后答案 第九版
CHAPTER 8INTEREST RATES AND BOND VALUATION1.The price of a pure discount (zero coupon) bond is the present value of the par. Remember, even though there are no coupon payments, the periods are semiannual to stay consistent with coupon bond payments. So, the price of the bond for each YTM is:a. P = $1,000/(1 + .05/2)20 = $610.27b. P = $1,000/(1 + .10/2)20 = $376.89c. P = $1,000/(1 + .15/2)20 = $235.412.The price of any bond is the PV of the interest payment, plus the PV of the par value. Notice this problem assumes a semiannual coupon. The price of the bond at each YTM will be:a.P = $35({1 – [1/(1 + .035)]50 } / .035) + $1,000[1 / (1 + .035)50]P = $1,000.00When the YTM and the coupon rate are equal, the bond will sell at par.b.P = $35({1 – [1/(1 + .045)]50 } / .045) + $1,000[1 / (1 + .045)50]P = $802.38When the YTM is greater than the coupon rate, the bond will sell at a discount.c.P = $35({1 – [1/(1 + .025)]50 } / .025) + $1,000[1 / (1 + .025)50]P = $1,283.62When the YTM is less than the coupon rate, the bond will sell at a premium.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 PVA equation, it is common to abbreviate the equations as:PVIF R,t = 1 / (1 + r)twhich stands for Present Value Interest FactorPVIFA R,t= ({1 – [1/(1 + r)]t } / r )which stands for Present Value Interest Factor of an AnnuityThese abbreviations are short hand notation for the equations in which the interest rate and the number of periods are substituted into the equation and solved. We will use this shorthand notation in the remainder of the solutions key.3.Here we are finding the YTM of a semiannual coupon bond. The bond price equation is:P = $1,050 = $39(PVIFA R%,20) + $1,000(PVIF R%,20)Since we cannot solve the equation directly for R, using a spreadsheet, a financialcalculator, or trial and error, we find:R = 3.547%Since the coupon payments are semiannual, this is the semiannual interest rate. TheYTM is the APR of the bond, so:YTM = 2 3.547% = 7.09%4.Here we need to find the coupon rate of the bond. All we need to do is to set up the bondpricing equation and solve for the coupon payment as follows:P = $1,175 = C(PVIFA3.8%,27) + $1,000(PVIF3.8%,27)Solving for the coupon payment, we get:C = $48.48Since this is the semiannual payment, the annual coupon payment is:2 × $48.48 = $96.96And the coupon rate is the annual coupon payment divided by par value, so:Coupon rate = $96.96 / $1,000 = .09696 or 9.70%5.The price of any bond is the PV of the interest payment, plus the PV of the par value.The fact that the bond is denominated in euros is irrelevant. Notice this problem assumes an annual coupon. The price of the bond will be:P = €84({1 – [1/(1 + .076)]15 } / .076) + €1,000[1 / (1 + .076)15]P = €1,070.186.Here we are finding the YTM of an annual coupon bond. The fact that the bond is denominated in yen is irrelevant. The bond price equation is:P = ¥87,000 = ¥5,400(PVIFA R%,21) + ¥100,000(PVIF R%,21)Since we cannot solve the equation directly for R, using a spreadsheet, a financial calculator, or trial and error, we find:R = 6.56%Since the coupon payments are annual, this is the yield to maturity.7.The approximate relationship between nominal interest rates (R), real interest rates (r),and inflation (h) is:R = r + hApproximate r = .05 –.039 =.011 or 1.10%The Fisher equation, which shows the exact relationship between nominal interest rates, real interest rates, and inflation is:(1 + R) = (1 + r)(1 + h)(1 + .05) = (1 + r)(1 + .039)Exact r = [(1 + .05) / (1 + .039)] – 1 = .0106 or 1.06%8.The Fisher equation, which shows the exact relationship between nominal interest rates,real interest rates, and inflation, is:(1 + R) = (1 + r)(1 + h)R = (1 + .025)(1 + .047) – 1 = .0732 or 7.32%9. The Fisher equation, which shows the exact relationship between nominal interest rates,real interest rates, and inflation, is:(1 + R) = (1 + r)(1 + h)h = [(1 + .17) / (1 + .11)] – 1 = .0541 or 5.41%10.The Fisher equation, which shows the exact relationship between nominal interest rates,real interest rates, and inflation, is:(1 + R) = (1 + r)(1 + h)r = [(1 + .141) / (1.068)] – 1 = .0684 or 6.84%11.The coupon rate, located in the first column of the quote is 6.125%. The bid price is:Bid price = 119:19 = 119 19/32 = 119.59375% $1,000 = $1,195.9375The previous day’s ask price is found by:Previous day’s asked price = Today’s asked price – Change = 119 21/32 – (–17/32) = 120 6/32The previous day’s price in dollars was:Previous day’s dollar price = 120.1875% $1,000 = $1,201.87512.This is a premium bond because it sells for more than 100% of face value. The current yield is:Current yield = Annual coupon payment / Asked price = $75/$1,347.1875 = .0557 or 5.57%The YTM is located under the “Asked yield” column, so the YTM is 4.4817%.The bid-ask spread is the difference between the bid price and the ask price, so:Bid-Ask spread = 134:23 – 134:22 = 1/32Intermediate13. Here we are finding the YTM of semiannual coupon bonds for various maturity lengths.The bond price equation is:P = C(PVIFA R%,t) + $1,000(PVIF R%,t)Miller Corporation bond:P0 = $45(PVIFA3.5%,26) + $1,000(PVIF3.5%,26) = $1,168.90P1 = $45(PVIFA3.5%,24) + $1,000(PVIF3.5%,24) = $1,160.58P3 = $45(PVIFA3.5%,20) + $1,000(PVIF3.5%,20) = $1,142.12P8 = $45(PVIFA3.5%,10) + $1,000(PVIF3.5%,10) = $1,083.17P12= $45(PVIFA3.5%,2) +$1,000(PVIF3.5%,2) = $1,019.00P13= $1,000Modigliani Company bond:P0 = $35(PVIFA4.5%,26) + $1,000(PVIF4.5%,26) = $848.53P1 = $35(PVIFA4.5%,24) + $1,000(PVIF4.5%,24) = $855.05P3 = $35(PVIFA4.5%,20) + $1,000(PVIF4.5%,20) = $869.92P8 = $35(PVIFA4.5%,10) + $1,000(PVIF4.5%,10) = $920.87P12= $35(PVIFA4.5%,2) +$1,000(PVIF4.5%,2) = $981.27P13= $1,000All else held equal, the premium over par value for a premium bond declines as maturity approaches, and the discount from par value for a discount bond declines as maturity approaches. This is called “pull to par.” In both cases, the largest percentage price changes occur at the shortest maturity lengths.Also, notice that the price of each bond when no time is left to maturity is the par value, even though the purchaser would receive the par value plus the coupon payment immediately. This is because we calculate the clean price of the bond.14.Any bond that sells at par has a YTM equal to the coupon rate. Both bonds sell at par, sothe initial YTM on both bonds is the coupon rate, 8 percent. If the YTM suddenly rises to 10 percent:P Laurel= $40(PVIFA5%,4) + $1,000(PVIF5%,4) = $964.54P Hardy= $40(PVIFA5%,30) + $1,000(PVIF5%,30) = $846.28The percentage change in price is calculated as:Percentage change in price = (New price – Original price) / Original price∆P Laurel% = ($964.54 – 1,000) / $1,000 = –0.0355 or –3.55%∆P Hardy% = ($846.28 – 1,000) / $1,000 = –0.1537 or –15.37%If the YTM suddenly falls to 6 percent:P Laurel= $40(PVIFA3%,4) + $1,000(PVIF3%,4) = $1,037.17P Hardy= $40(PVIFA3%,30) + $1,000(PVIF3%,30) = $1,196.00∆P Laurel% = ($1,037.17 – 1,000) / $1,000 = +0.0372 or 3.72%∆P Hardy% = ($1,196.002 – 1,000) / $1,000 = +0.1960 or 19.60%All else the same, the longer the maturity of a bond, the greater is its price sensitivity to changes in interest rates. Notice also that for the same interest rate change, the gain froma decline in interest rates is larger than the loss from the same magnitude change. For aplain vanilla bond, this is always true.15.Initially, at a YTM of 10 percent, the prices of the two bonds are:P Faulk= $30(PVIFA5%,16) + $1,000(PVIF5%,16) = $783.24P Gonas= $70(PVIFA5%,16) + $1,000(PVIF5%,16) = $1,216.76If the YTM rises from 10 percent to 12 percent:P Faulk= $30(PVIFA6%,16) + $1,000(PVIF6%,16) = $696.82P Gonas= $70(PVIFA6%,16) + $1,000(PVIF6%,16) = $1,101.06The percentage change in price is calculated as:Percentage change in price = (New price – Original price) / Original price∆P Faulk% = ($696.82 – 783.24) / $783.24 = –0.1103 or –11.03%∆P Gonas% = ($1,101.06 – 1,216.76) / $1,216.76 = –0.0951 or –9.51% If the YTM declines from 10 percent to 8 percent:P Faulk= $30(PVIFA4%,16) + $1,000(PVIF4%,16) = $883.48P Gonas= $70(PVIFA4%,16) + $1,000(PVIF4%,16) = $1,349.57∆P Faulk% = ($883.48 – 783.24) / $783.24 = +0.1280 or 12.80%∆P Gonas% = ($1,349.57 – 1,216.76) / $1,216.76 = +0.1092 or 10.92% All else the same, the lower the coupon rate on a bond, the greater is its price sensitivity to changes in interest rates.16.The bond price equation for this bond is:P0 = $960 = $37(PVIFA R%,18) + $1,000(PVIF R%,18)Using a spreadsheet, financial calculator, or trial and error we find:R = 4.016%This is the semiannual interest rate, so the YTM is:YTM = 2 ⨯ 4.016% = 8.03%The current yield is:Current yield = Annual coupon payment / Price = $74 / $960 = .0771 or 7.71%The effective annual yield is the same as the EAR, so using the EAR equation from the previous chapter:Effective annual yield = (1 + 0.04016)2– 1 = .0819 or 8.19%17.The company should set the coupon rate on its new bonds equal to the required return.The required return can be observed in the market by finding the YTM on outstanding bonds of the company. So, the YTM on the bonds currently sold in the market is:P = $1,063 = $50(PVIFA R%,40) + $1,000(PVIF R%,40)Using a spreadsheet, financial calculator, or trial and error we find:R = 4.650%This is the semiannual interest rate, so the YTM is:YTM = 2 ⨯ 4.650% = 9.30%18. Accrued interest is the coupon payment for the period times the fraction of the periodthat 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 = $84/2 × 4/6 = $28And we calculate the clean price as:Clean price = Dirty price – Accrued interest = $1,090 – 28 = $1,06219. Accrued interest is the coupon payment for the period times the fraction of the periodthat 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 = $72/2 × 2/6 = $12.00And we calculate the dirty price as:Dirty price = Clean price + Accrued interest = $904 + 12 = $916.0020.To find the number of years to maturity for the bond, we need to find the price of thebond. 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 = .0842 = $90/P0P0 = $90/.0842 = $1,068.88Now that we have the price of the bond, the bond price equation is:P = $1,068.88 = $90{[(1 – (1/1.0781)t ] / .0781} + $1,000/1.0781tWe can solve this equation for t as follows:$1,068.88 (1.0781)t = $1,152.37 (1.0781)t– 1,152.37 + 1,000152.37 = 83.49(1.0781)t1.8251 = 1.0781tt = log 1.8251 / log 1.0781 = 8.0004 ≈ 8 yearsThe bond has 8 years to maturity.21.The bond has 10 years to maturity, so the bond price equation is:P = $871.55 = $41.25(PVIFA R%,20) + $1,000(PVIF R%,20)Using a spreadsheet, financial calculator, or trial and error we find:R = 5.171%This is the semiannual interest rate, so the YTM is:YTM = 2 5.171% = 10.34%The current yield is the annual coupon payment divided by the bond price, so:Current yield = $82.50 / $871.55 = .0947 or 9.47%22.We found the maturity of a bond in Problem 20. However, in this case, the maturity isindeterminate. A bond selling at par can have any length of maturity. In other words, when we solve the bond pricing equation as we did in Problem 20, the number of periods can be any positive number.Challenge23.To find the capital gains yield and the current yield, we need to find the price of the bond.The current price of Bond P and the price of Bond P in one year is:P: P0 = $90(PVIFA7%,5) + $1,000(PVIF7%,5) = $1,082.00P1 = $90(PVIFA7%,4) + $1,000(PVIF7%,4) = $1,067.74Current yield = $90 / $1,082.00 = .0832 or 8.32%The capital gains yield is:Capital gains yield = (New price – Original price) / Original priceCapital gains yield = ($1,067.74 – 1,082.00) / $1,082.00 = –0.0132 or –1.32% The current price of Bond D and the price of Bond D in one year is:D: P0 = $50(PVIFA7%,5) + $1,000(PVIF7%,5) = $918.00P1 = $50(PVIFA7%,4) + $1,000(PVIF7%,4) = $932.26Current yield = $50 / $918.00 = 0.0545 or 5.45%Capital gains yield = ($932.26 – 918.00) / $918.00 = 0.0155 or 1.55% All else held constant, premium bonds pay a high current income while having price depreciation as maturity nears; discount bonds pay a lower current income but have price appreciation as maturity nears. For either bond, the total return is still 7%, but this return is distributed differently between current income and capital gains.24.a. The rate of return you expect to earn if you purchase a bond and hold it until maturity is the YTM. The bond price equation for this bond is:P0 = $1,140 = $90(PVIFA R%,10) + $1,000(PVIF R%,10)Using a spreadsheet, financial calculator, or trial and error we find:R = YTM = 7.01%b. To find our HPY, we need to find the price of the bond in two years. The price ofthe bond in two years, at the new interest rate, will be:P2 = $90(PVIFA6.01%,8) + $1,000(PVIF6.01%,8) = $1,185.87To calculate the HPY, we need to find the interest rate that equates the price wepaid for the bond with the cash flows we received. The cash flows we receivedwere $90 each year for two years, and the price of the bond when we sold it. Theequation to find our HPY is:P0 = $1,140 = $90(PVIFA R%,2) + $1,185.87(PVIF R%,2)Solving for R, we get:R = HPY = 9.81%The realized HPY is greater than the expected YTM when the bond was boughtbecause interest rates dropped by 1 percent; bond prices rise when yields fall.25.The price of any bond (or financial instrument) is the PV of the future cash flows. Eventhough 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 = $800(PVIFA4%,16)(PVIF4%,12) + $1,000(PVIFA4%,12)(PVIF4%,28) +$20,000(PVIF4%,40)P M = $13,117.88Notice that for the coupon payments of $800, we found the PVA 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(PVIF4%,40) = $4,165.7826.To find the present value, we need to find the real weekly interest rate. To find the realreturn, we need to use the effective annual rates in the Fisher equation. So, we find the real EAR is:(1 + R) = (1 + r)(1 + h)1 + .107 = (1 + r)(1 + .035)r = .0696 or 6.96%Now, to find the weekly interest rate, we need to find the APR. Using the equation for discrete compounding:EAR = [1 + (APR / m)]m– 1We can solve for the APR. Doing so, we get:APR = m[(1 + EAR)1/m– 1]APR = 52[(1 + .0696)1/52– 1]APR = .0673 or 6.73%So, the weekly interest rate is:Weekly rate = APR / 52Weekly rate = .0673 / 52Weekly rate = .0013 or 0.13%Now we can find the present value of the cost of the roses. The real cash flows are an ordinary annuity, discounted at the real interest rate. So, the present value of the cost of the roses is:PVA = C({1 – [1/(1 + r)]t } / r)PVA = $8({1 – [1/(1 + .0013)]30(52)} / .0013)PVA = $5,359.6427.To answer this question, we need to find the monthly interest rate, which is the APRdivided by 12. We also must be careful to use the real interest rate. The Fisher equation uses the effective annual rate, so, the real effective annual interest rates, and the monthly interest rates for each account are:Stock account:(1 + R) = (1 + r)(1 + h)1 + .12 = (1 + r)(1 + .04)r = .0769 or 7.69%APR = m[(1 + EAR)1/m– 1]APR = 12[(1 + .0769)1/12– 1]APR = .0743 or 7.43%Monthly rate = APR / 12Monthly rate = .0743 / 12Monthly rate = .0062 or 0.62%Bond account:(1 + R) = (1 + r)(1 + h)1 + .07 = (1 + r)(1 + .04)r = .0288 or 2.88%APR = m[(1 + EAR)1/m– 1]APR = 12[(1 + .0288)1/12– 1]APR = .0285 or 2.85%Monthly rate = APR / 12Monthly rate = .0285 / 12Monthly rate = .0024 or 0.24%Now we can find the future value of the retirement account in real terms. The future value of each account will be:Stock account:FVA = C {(1 + r )t– 1] / r}FVA = $800{[(1 + .0062)360 – 1] / .0062]}FVA = $1,063,761.75Bond account:FVA = C {(1 + r )t– 1] / r}FVA = $400{[(1 + .0024)360 – 1] / .0024]}FVA = $227,089.04The total future value of the retirement account will be the sum of the two accounts, or: Account value = $1,063,761.75 + 227,089.04Account value = $1,290,850.79Now we need to find the monthly interest rate in retirement. We can use the same procedure that we used to find the monthly interest rates for the stock and bond accounts, so:(1 + R) = (1 + r)(1 + h)1 + .08 = (1 + r)(1 + .04)r = .0385 or 3.85%APR = m[(1 + EAR)1/m– 1]APR = 12[(1 + .0385)1/12– 1]APR = .0378 or 3.78%Monthly rate = APR / 12Monthly rate = .0378 / 12Monthly rate = .0031 or 0.31%Now we can find the real monthly withdrawal in retirement. Using the present value of an annuity equation and solving for the payment, we find:PVA = C({1 – [1/(1 + r)]t } / r )$1,290,850.79 = C({1 – [1/(1 + .0031)]300 } / .0031)C = $6,657.74This is the real dollar amount of the monthly withdrawals. The nominal monthly withdrawals will increase by the inflation rate each month. To find the nominal dollar amount of the last withdrawal, we can increase the real dollar withdrawal by the inflation rate. We can increase the real withdrawal by the effective annual inflation rate since we are only interested in the nominal amount of the last withdrawal. So, the last withdrawal in nominal terms will be: FV = PV(1 + r)tFV = $6,657.74(1 + .04)(30 + 25)FV = $57,565.3028.In this problem, we need to calculate the future value of the annual savings after the fiveyears of operations. The savings are the revenues minus the costs, or:Savings = Revenue – CostsSince the annual fee and the number of members are increasing, we need to calculate the effective growth rate for revenues, which is:Effective growth rate = (1 + .06)(1 + .03) – 1Effective growth rate = .0918 or 9.18%The revenue for the current year is the number of members times the annual fee, or:Current revenue = 500($500)Current revenue = $250,000The revenue will grow at 9.18 percent, and the costs will grow at 2 percent, so the savings each year for the next five years will be:Year Revenue Costs Savings1 $ 272,950.00 $ 76,500.00 $ 196,450.002 298,006.81 78,030.00 219,976.813 325,363.84 79,590.60 245,773.244 355,232.24 81,182.41 274,049.825 387,842.55 82,806.06 305,036.49Now we can find the value of each year’s savi ngs using the future value of a lump sum equation, so:FV = PV(1 + r)tYear Future Value1 $196,450.00(1 + .09)4 = $277,305.212 $219,976.81(1 + .09)3 = 284,876.353 $245,773.24(1 + .09)2 = 292,003.184 $274,049.82(1 + .09)1 = 298,714.315 305,036.49Total future value of savings = $1,457,935.54He will spend $500,000 on a luxury boat, so the value of his account will be:Value of account = $1,457,935.54 – 500,000Value of account = $957,935.54Now we can use the present value of an annuity equation to find the payment. Doing so, we find:PVA = C({1 – [1/(1 + r)]t } / r )$957,935.54 = C({1 – [1/(1 + .09)]25 } / .09)C = $97,523.83CHAPTER 91.We need to find the required return of the stock. Using the constant growth model, wecan solve the equation for R. Doing so, we find:R = (D1 / P0) + g = ($2.85 / $58) + .06 = .1091 or 10.91%2.The dividend yield is the dividend next year divided by the current price, so the dividendyield is:Dividend yield = D1 / P0 = $2.85 / $58 = .0491 or 4.91%The capital gains yield, or percentage increase in the stock price, is the same as the dividend growth rate, so:Capital gains yield = 6%3.We know the stock has a required return of 13 percent, and the dividend and capitalgains yield are equal, so:Dividend yield = 1/2(.13) = .065 = Capital gains yieldNow we know both the dividend yield and capital gains yield. The dividend is simply the stock price times the dividend yield, so:D1 = .065($64) = $4.16This is the dividend next year. The question asks for the dividend this year. Using the relationship between the dividend this year and the dividend next year:D1 = D0(1 + g)We can solve for the dividend that was just paid:$4.16 = D0 (1 + .065)D0 = $4.16 / 1.065 = $3.914.The price of a share of preferred stock is the dividend divided by the required return.This is the same equation as the constant growth model, with a dividend growth rate of zero percent. Remember that most preferred stock pays a fixed dividend, so the growth rate is zero. Using this equation, we find the price per share of the preferred stock is:R = D/P0 = $6.40/$103 = .0621 or 6.21%5.This stock has a constant growth rate of dividends, but the required return changes twice.To find the value of the stock today, we will begin by finding the price of the stock at Year 6, when both the dividend growth rate and the required return are stable forever.The price of the stock in Year 6 will be the dividend in Year 7, divided by the required return minus the growth rate in dividends. So:P6 = D6(1 + g) / (R–g) = D0(1 + g)7/ (R–g) = $2.75(1.06)7/ (.11 – .06) = $82.70Now we can find the price of the stock in Year 3. We need to find the price here since the required return changes at that time. The price of the stock in Year 3 is the PV of the dividends in Years 4, 5, and 6, plus the PV of the stock price in Year 6. The price of the stock in Year 3 is:P3= $2.75(1.06)4/ 1.14 + $2.75(1.06)5/ 1.142 + $2.75(1.06)6/ 1.143 + $82.70 / 1.143 P3= $64.33Finally, we can find the price of the stock today. The price today will be the PV of the dividends in Years 1, 2, and 3, plus the PV of the stock in Year 3. The price of the stock today is:P0= $2.75(1.06) / 1.16 + $2.75(1.06)2/ (1.16)2+ $2.75(1.06)3/ (1.16)3+ $64.33 /(1.16)3P0= $48.126.The price of a stock is the PV of the future dividends. This stock is paying five dividends,so the price of the stock is the PV of these dividends using the required return. The price of the stock is:P0 = $13 / 1.11 + $16 / 1.112 + $19 / 1.113 + $22 / 1.114 + $25 / 1.115 = $67.927.Here we need to find the dividend next year for a stock experiencing differential growth.We know the stock price, the dividend growth rates, and the required return, but not the dividend. First, we need to realize that the dividend in Year 3 is the current dividend times the FVIF. The dividend in Year 3 will be:D3 = D0(1.30)3And the dividend in Year 4 will be the dividend in Year 3 times one plus the growth rate, or:D4 = D0(1.30)3(1.18)The stock begins constant growth after the 4th dividend is paid, so we can find the price of the stock in Year 4 as the dividend in Year 5, divided by the required return minus the growth rate. The equation for the price of the stock in Year 4 is:P4= D4(1 + g) / (R– g)Now we can substitute the previous dividend in Year 4 into this equation as follows:P4 = D0(1 + g1)3(1 + g2) (1 + g3) / (R–g3)P4= D0(1.30)3(1.18) (1.08) / (.13 – .08) = 56.00D0When we solve this equation, we find that the stock price in Year 4 is 56.00 times as large as the dividend today. Now we need to find the equation for the stock price today.The stock price today is the PV of the dividends in Years 1, 2, 3, and 4, plus the PV of the Year 4 price. So:P0= D0(1.30)/1.13 + D0(1.30)2/1.132+ D0(1.30)3/1.133+ D0(1.30)3(1.18)/1.134+56.00D0/1.134We can factor out D0 in the equation, and combine the last two terms. Doing so, we get: P0 = $65.00 = D0{1.30/1.13 + 1.302/1.132 + 1.303/1.133 + [(1.30)3(1.18) + 56.00] / 1.134} Reducing the equation even further by solving all of the terms in the braces, we get:$65 = $39.86D0D0 = $65.00 / $39.86 = $1.63This is the dividend today, so the projected dividend for the next year will be:D1 = $1.63(1.30) = $2.128.The price of a share of preferred stock is the dividend payment divided by the requiredreturn. We know the dividend payment in Year 5, so we can find the price of the stock in Year 4, one year before the first dividend payment. Doing so, we get:P4 = $7.00 / .06 = $116.67The price of the stock today is the PV of the stock price in the future, so the price today will be:P0 = $116.67 / (1.06)4 = $92.419.To find the number of shares owned, we can divide the amount invested by the stockprice. The share price of any financial asset is the present value of the cash flows, so, tofind the price of the stock we need to find the cash flows. The cash flows are the two dividend payments plus the sale price. We also need to find the aftertax dividends since the assumption is all dividends are taxed at the same rate for all investors. The aftertax dividends are the dividends times one minus the tax rate, so:Year 1 aftertax dividend = $1.50(1 – .28)Year 1 aftertax dividend = $1.08Year 2 aftertax dividend = $2.25(1 – .28)Year 2 aftertax dividend = $1.62We can now discount all cash flows from the stock at the required return. Doing so, we find the price of the stock is:P = $1.08/1.15 + $1.62/(1.15)2 + $60/(1+.15)3P = $41.62The number of shares owned is the total investment divided by the stock price, which is: Shares owned = $100,000 / $41.62Shares owned = 2,402.9810.The required return of a stock consists of two components, the capital gains yield and thedividend yield. In the constant dividend growth model (growing perpetuity equation), the capital gains yield is the same as the dividend growth rate, or algebraically:R = D1/P0 + gWe can find the dividend growth rate by the growth rate equation, or:g = ROE ×bg = .16 × .80g = .1280 or 12.80%This is also the growth rate in dividends. To find the current dividend, we can use the information provided about the net income, shares outstanding, and payout ratio. The total dividends paid is the net income times the payout ratio. To find the dividend per share, we can divide the total dividends paid by the number of shares outstanding. So: Dividend per share = (Net income × Payout ratio) / Shares outstandingDividend per share = ($10,000,000 × .20) / 2,000,000Dividend per share = $1.00Now we can use the initial equation for the required return. We must remember that the equation uses the dividend in one year, so:R = D1/P0 + gR = $1(1 + .1280)/$85 + .1280R = .1413 or 14.13%11. a.If the company does not make any new investments, the stock price will be thepresent value of the constant perpetual dividends. In this case, all earnings are paiddividends, so, applying the perpetuity equation, we get:P = Dividend / RP = $8.25 / .12P = $68.75。
公司理财精要版原书第12版习题库答案Ross12e_Chapter01_TB
Fundamentals of Corporate Finance, 12e (Ross)Chapter 1 Introduction to Corporate Finance1) Which one of the following functions should be the responsibility of the controller rather than the treasurer?A) Depositing cash receiptsB) Processing cost reportsC) Analyzing equipment purchasesD) Approving credit for a customerE) Paying a vendor2) The treasurer of a corporation generally reports directly to the:A) board of directors.B) chairman of the board.C) chief executive officer.D) president.E) vice president of finance.3) Which one of the following correctly defines the upward chain of command in a typical corporate organizational structure?A) The vice president of finance reports to the chairman of the board.B) The chief executive officer reports to the president.C) The controller reports to the chief financial officer.D) The treasurer reports to the president.E) The chief operations officer reports to the vice president of production.4) An example of a capital budgeting decision is deciding:A) how many shares of stock to issue.B) whether or not to purchase a new machine for the production line.C) how to refinance a debt issue that is maturing.D) how much inventory to keep on hand.E) how much money should be kept in the checking account.5) When evaluating the timing of a project's projected cash flows, a financial manager is analyzing:A) the amount of each expected cash flow.B) only the start-up costs that are expected to require cash resources.C) only the date of the final cash flow related to the project.D) the amount by which cash receipts are expected to exceed cash outflows.E) when each cash flow is expected to occur.6) Capital structure decisions include determining:A) which one of two projects to accept.B) how to allocate investment funds to multiple projects.C) the amount of funds needed to finance customer purchases of a new product.D) how much debt should be assumed to fund a project.E) how much inventory will be needed to support a project.7) The decision to issue additional shares of stock is an example of:A) working capital management.B) a net working capital decision.C) capital budgeting.D) a controller's duties.E) a capital structure decision.8) Which one of the following questions is a working capital management decision?A) Should the company issue new shares of stock or borrow money?B) Should the company update or replace its older equipment?C) How much inventory should be on hand for immediate sale?D) Should the company close one of its current stores?E) How much should the company borrow to buy a new building?9) Which one of the following is a working capital management decision?A) What type(s) of equipment is (are) needed to complete a current project?B) Should the firm pay cash for a purchase or use the credit offered by the supplier?C) What amount of long-term debt is required to complete a project?D) How many shares of stock should the firm issue to fund an acquisition?E) Should a project should be accepted?10) Working capital management decisions include determining:A) the minimum level of cash to be kept in a checking account.B) the best method of producing a product.C) the number of employees needed to work during a particular shift.D) when to replace obsolete equipment.E) if a competitor should be acquired.11) Which one of the following terms is defined as the management of a firm's long-term investments?A) Working capital managementB) Financial allocationC) Agency cost analysisD) Capital budgetingE) Capital structure12) Which one of the following terms is defined as the mixture of a firm's debt and equity financing?A) Working capital managementB) Cash managementC) Cost analysisD) Capital budgetingE) Capital structure13) A firm's short-term assets and its short-term liabilities are referred to as the firm's:A) working capital.B) debt.C) investment capital.D) net capital.E) capital structure.14) Which one of the following questions is least likely to be addressed by financial managers?A) How should a product be marketed?B) Should customers be given 30 or 45 days to pay for their credit purchases?C) Should the firm borrow more money?D) Should the firm acquire new equipment?E) How much cash should the firm keep on hand?15) A business owned by a solitary individual who has unlimited liability for the firm's debt is called a:A) corporation.B) sole proprietorship.C) general partnership.D) limited partnership.E) limited liability company.16) A business formed by two or more individuals who each have unlimited liability for all of the firm's business debts is called a:A) corporation.B) sole proprietorship.C) general partnership.D) limited partnership.E) limited liability company.17) A business partner whose potential financial loss in the partnership will not exceed his or her investment in that partnership is called a:A) general partner.B) sole proprietor.C) limited partner.D) corporate shareholder.E) zero partner.18) A business created as a distinct legal entity and treated as a legal "person" is called a(n):A) corporation.B) sole proprietorship.C) general partnership.D) limited partnership.E) unlimited liability company.19) Which one of the following statements concerning a sole proprietorship is correct?A) A sole proprietorship is designed to protect the personal assets of the owner.B) The profits of a sole proprietorship are subject to double taxation.C) The owner of a sole proprietorship is personally responsible for all of the company's debts.D) There are very few sole proprietorships remaining in the U.S. today.E) A sole proprietorship is structured the same as a limited liability company.20) Which one of the following statements concerning a sole proprietorship is correct?A) The life of a sole proprietorship is limited.B) A sole proprietor can generally raise large sums of capital quite easily.C) Transferring ownership of a sole proprietorship is easier than transferring ownership of a corporation.D) A sole proprietorship is taxed the same as a C corporation.E) A sole proprietorship is the most regulated form of organization.21) Which of the following individuals have unlimited liability for a firm's debts based on their ownership interest?A) Only general partnersB) Only sole proprietorsC) All stockholdersD) Both limited and general partnersE) Both general partners and sole proprietors22) The primary advantage of being a limited partner is:A) the receipt of tax-free income.B) the partner's active participation in the firm's activities.C) the lack of any potential financial loss.D) the daily control over the business affairs of the partnership.E) the partner's maximum loss is limited to their capital investment.23) A general partner:A) is personally responsible for all partnership debts.B) has no say over a firm's daily operations.C) faces double taxation whereas a limited partner does not.D) has a maximum loss equal to his or her equity investment.E) receives a salary in lieu of a portion of the profits.24) A limited partnership:A) has an unlimited life.B) can opt to be taxed as a corporation.C) terminates at the death of any one limited partner.D) has at least one partner who has unlimited liability for all of the partnership's debts.E) consists solely of limited partners.25) A partnership with four general partners:A) distributes profits based on percentage of ownership.B) has an unlimited partnership life.C) limits the active involvement in the firm to a single partner.D) limits each partner's personal liability to 25 percent of the partnership's total debt.E) must distribute 25 percent of the profits to each partner.26) One disadvantage of the corporate form of business ownership is the:A) limited liability of its shareholders for the firm's debts.B) double taxation of distributed profits.C) firm's greater ability to raise capital than other forms of ownership.D) firm's potential for an unlimited life.E) firm's ability to issue additional shares of stock.27) Which one of the following statements is correct?A) The majority of firms in the U.S. are structured as corporations.B) Corporate profits are taxable income to the shareholders when earned.C) Corporations can have an unlimited life.D) Shareholders are protected from all potential losses.E) Shareholders directly elect the corporate president.28) Which one of the following statements is correct?A) A general partnership is legally the same as a corporation.B) Income from both sole proprietorships and partnerships that is taxable is treated as individual income.C) Partnerships are the most complicated type of business to form.D) All business organizations have bylaws.E) Only firms organized as sole proprietorships have limited lives.29) The articles of incorporation:A) describe the purpose of the firm and set forth the number of shares of stock that can be issued.B) are amended periodically especially prior to corporate elections.C) explain how corporate directors are to be elected and the length of their terms.D) sets forth the procedures by which a firm regulates itself.E) include only the corporation's name and intended life.30) Corporate bylaws:A) must be amended should a firm decide to increase the number of shares authorized.B) cannot be amended once adopted.C) define the name by which the firm will operate.D) describe the intended life and purpose of the organization.E) determine how a corporation regulates itself.31) A limited liability company:A) can only have a single owner.B) is comprised of limited partners only.C) is taxed similar to a partnership.D) is taxed similar to a C corporation.E) generates totally tax-free income.32) Which business form is best suited to raising large amounts of capital?A) Sole proprietorshipB) Limited liability companyC) CorporationD) General partnershipE) Limited partnership33) A ________ has all the respective rights and privileges of a legal person.A) sole proprietorshipB) general partnershipC) limited partnershipD) corporationE) limited liability company34) Sam, Alfredo, and Juan want to start a small U.S. business. Juan will fund the venture but wants to limit his liability to his initial investment and has no interest in the daily operations. Sam will contribute his full efforts on a daily basis but has limited funds to invest in the business. Alfredo will be involved as an active consultant and manager and will also contribute funds. Sam and Alfredo are willing to accept liability for the firm's debts as they feel they have nothing to lose by doing so. All three individuals will share in the firm's profits and wish to keep the initial organizational costs of the business to a minimum. Which form of business entity should these individuals adopt?A) Sole proprietorshipB) Joint stock companyC) Limited partnershipD) General partnershipE) Corporation35) Sally and Alicia are equal general partners in a business. They are content with their current management and tax situation but are uncomfortable with their unlimited liability. Which form of business entity should they consider as a replacement to their current arrangement assuming they wish to remain the only two owners of the business?A) Sole proprietorshipB) Joint stock companyC) Limited partnershipD) Limited liability companyE) Corporation36) The growth of both sole proprietorships and partnerships is frequently limited by the firm's:A) double taxation.B) bylaws.C) inability to raise cash.D) limited liability.E) agency problems.37) Corporate dividends are:A) tax-free because the income is taxed at the personal level when earned by the firm.B) tax-free because they are distributions of aftertax income.C) tax-free since the corporation pays tax on that income when it is earned.D) taxed at both the corporate and the personal level when the dividends are paid to shareholders.E) taxable income of the recipient even though that income was previously taxed.38) Financial managers should primarily focus on the interests of:A) stakeholders.B) the vice president of finance.C) their immediate supervisor.D) shareholders.E) the board of directors.39) Which one of the following best states the primary goal of financial management?A) Maximize current dividends per shareB) Maximize the current value per shareC) Increase cash flow and avoid financial distressD) Minimize operational costs while maximizing firm efficiencyE) Maintain steady growth while increasing current profits40) Which one of the following best illustrates that the management of a firm is adhering to the goal of financial management?A) An increase in the amount of the quarterly dividendB) A decrease in the per unit production costsC) An increase in the number of shares outstandingD) A decrease in the net working capitalE) An increase in the market value per share41) Financial managers should strive to maximize the current value per share of the existingstock to:A) guarantee the company will grow in size at the maximum possible rate.B) increase employee salaries.C) best represent the interests of the current shareholders.D) increase the current dividends per share.E) provide managers with shares of stock as part of their compensation.42) Decisions made by financial managers should primarily focus on increasing the:A) size of the firm.B) growth rate of the firm.C) gross profit per unit produced.D) market value per share of outstanding stock.E) total sales.43) The Sarbanes-Oxley Act of 2002 is a governmental response to:A) decreasing corporate profits.B) the terrorist attacks on 9/11/2001.C) a weakening economy.D) deregulation of the stock exchanges.E) management greed and abuses.44) Which one of the following is an unintended result of the Sarbanes-Oxley Act?A) More detailed and accurate financial reportingB) Increased management awareness of internal controlsC) Corporations delisting from major exchangesD) Increased responsibility for corporate officersE) Identification of internal control weaknesses45) A firm which opts to "go dark" in response to the Sarbanes-Oxley Act:A) must continue to provide audited financial statements to the public.B) must continue to provide a detailed list of internal control deficiencies on an annual basis.C) can provide less information to its shareholders than it did prior to "going dark".D) can continue publicly trading its stock but only on the exchange on which it was previously listed.E) ceases to exist.46) The Sarbanes-Oxley Act of 2002 holds a public company's ________ responsible for the accuracy of the company's financial statements.A) managersB) internal auditorsC) external legal counselD) internal legal counselE) Securities and Exchange Commission agent47) Which one of the following actions by a financial manager is most apt to create an agency problem?A) Refusing to borrow money when doing so will create losses for the firmB) Refusing to lower selling prices if doing so will reduce the net profitsC) Refusing to expand the company if doing so will lower the value of the equityD) Agreeing to pay bonuses based on the market value of the company's stock rather than on its level of salesE) Increasing current profits when doing so lowers the value of the company's equity48) Which one of the following is least apt to help convince managers to work in the best interest of the stockholders? Assume there are no golden parachutes.A) Compensation based on the value of the stockB) Stock option plansC) Threat of a company takeoverD) Threat of a proxy fightE) Increasing managers' base salaries49) Agency problems are most associated with:A) sole proprietorships.B) general partnerships.C) limited partnerships.D) corporations.E) limited liability companies.50) Which one of the following is an agency cost?A) Accepting an investment opportunity that will add value to the firmB) Increasing the quarterly dividendC) Investing in a new project that creates firm valueD) Hiring outside accountants to audit the company's financial statementsE) Closing a division of the firm that is operating at a loss51) Which one of the following is a means by which shareholders can replace company management?A) Stock optionsB) PromotionC) Sarbanes-Oxley ActD) Agency playE) Proxy fight52) Which one of the following grants an individual the right to vote on behalf of a shareholder?A) ProxyB) By-lawsC) Indenture agreementD) Stock optionE) Stock audit53) Which one of the following parties has ultimate control of a corporation?A) Chairman of the boardB) Board of directorsC) Chief executive officerD) Chief operating officerE) Shareholders54) Which of the following parties are considered stakeholders of a firm?A) Employees and the governmentB) Long-term creditorsC) Government and common stockholdersD) Common stockholdersE) Long-term creditors and common stockholders55) Which one of the following represents a cash outflow from a corporation?A) Issuance of new securitiesB) Payment of dividendsC) New loan proceedsD) Receipt of tax refundE) Initial sale of common stock56) Which one of the following is a cash flow from a corporation into the financial markets?A) Borrowing of long-term debtB) Payment of government taxesC) Payment of loan interestD) Issuance of corporate debtE) Sale of common stock57) Which one of the following is a primary market transaction?A) Sale of currently outstanding stock by a dealer to an individual investorB) Sale of a new share of stock to an individual investorC) Stock ownership transfer from one shareholder to another shareholderD) Gift of stock from one shareholder to another shareholderE) Gift of stock by a shareholder to a family member58) Shareholder A sold 500 shares of ABC stock on the New York Stock Exchange. This transaction:A) took place in the primary market.B) occurred in a dealer market.C) was facilitated in the secondary market.D) involved a proxy.E) was a private placement.59) Public offerings of debt and equity must be registered with the:A) New York Board of Governors.B) Federal Reserve.C) NYSE Registration Office.D) Securities and Exchange Commission.E) Market Dealers Exchange.60) Which one of the following statements is generally correct?A) Private placements must be registered with the SEC.B) All secondary markets are auction markets.C) Dealer markets have a physical trading floor.D) Auction markets match buy and sell orders.E) Dealers arrange trades but never own the securities traded.61) Which one of the following statements concerning stock exchanges is correct?A) NASDAQ is a broker market.B) The NYSE is a dealer market.C) The exchange with the strictest listing requirements is NASDAQ.D) Some large companies are listed on NASDAQ.E) Most debt securities are traded on the NYSE.62) Shareholder A sold shares of Maplewood Cabinets stock to Shareholder B. The stock is listed on the NYSE. This trade occurred in which one of the following?A) Primary, dealer marketB) Secondary, dealer marketC) Primary, auction marketD) Secondary, auction marketE) Secondary, OTC market63) Which one of the following statements is correct concerning the NYSE?A) The publicly traded shares of a NYSE-listed firm must be worth at least $250 million.B) The NYSE is the largest dealer market for listed securities in the United States.C) The listing requirements for the NYSE are more stringent than those of NASDAQ.D) Any corporation desiring to be listed on the NYSE can do so for a fee.E) The NYSE is an OTC market functioning as both a primary and a secondary market.11。
罗斯公司理财题库全集
Chapter 30Financial Distress Multiple Choice Questions1. Financial distress can be best described by which of the following situations in which the firm is forced to take corrective action?A. Cash payments are delayed to creditors.B. The market value of the stock declines by 10%.C. The firm's operating cash flow is insufficient to pay current obligations.D. Cash distributions are eliminated because the board of directors considers the surplus account to be low.E. None of the above.2. Insolvency can be defined as:A. not having cash.B. being illiquid.C. an inability to pay one's debts.D. an inability to increase one's debts.E. the present value of payments being less than assets.3. Stock-based insolvency is a:A. income statement measurement.B. balance sheet measurement.C. a book value measurement only.D. Both A and C.E. Both B and C.4. Flow-based insolvency is:A. a balance sheet measurement.B. a negative equity position.C. when operating cash flow is insufficient to meet current obligations.D. inability to pay one's debts.E. Both C and D.5. Financial restructuring can occur as:A. a private workout.B. an employee buy-out.C. a bankruptcy reorganization.D. Both A and C.E. Both B and C.6. Financial distress can involve which of the following:A. asset restructuring.B. financial restructuring.C. liquidation.D. All of the above.E. None of the above.7. APR, as it relates to financial distress, means the rules of:A. absolute profitability.B. arbitration priority.C. absolute priority.D. arbitration profitability.E. automatic profitability.8. The difference between liquidation and reorganization is:A. reorganization terminates all operations of the firm and liquidation only terminatesnon-profitable operations.B. liquidation terminates only profitable operations and reorganization terminates onlynon-profitable operations.C. liquidation terminates all operations and reorganization maintains the option of the firm as a going concern.D. liquidation only deals with current assets and reorganization only consolidates debt.E. None of the above.9. A firm that has a series of negative earnings, sales declines and workforce reductions is likely headed to:A. acquisition of another firm.B. a merger.C. financial distress.D. new financing.E. None of the above.10. Some of the various events which typically occur around the period of financial distress fora firm are:A. continued increase in earnings.B. steady growth.C. dividend reductions.D. Both A and B.E. Both A and C.11. Bankruptcy reorganizations are used by management to:A. forestall the inevitable liquidation in all cases.B. provide time to turn the business around.C. allow the courts time to set up an administrative structure.D. All of the above.E. None of the above.12. A firm has several options available to it in times of financial distress. The firm may:A. reduce capital and R & D spending.B. raise new funds by selling securities or major assets.C. file for bankruptcy.D. negotiate with lenders.E. All of the above statements are true.13. Most firms in financial distress do not fail and cease to exist. Many firms can actually benefit from distress by:A. forcing a firm to reevaluate their core operations.B. realigning their capital structure to reduce interest costs.C. entering Chapter 11 and liquidating the firm.D. Both A and B.E. Both A and C.14. Whether bankruptcy is entered voluntarily or involuntarily the major difference between Chapter 7 and Chapter 11 is:A. that liquidation occurs in Chapter 11 but reorganization is the objective under Chapter 7.B. that there is no priority of claims under Chapter 11.C. that liquidation occurs in Chapter 7 but reorganization is the objective under chapter 11.D. no lawyers fees are necessary under Chapter 7.E. None of the above.15. If a firm has a stock based insolvency in both book and market value terms and liquidates:A. the payoff will not be 100% to all investors.B. the unsecured creditors are likely to get less than full value.C. the equityholders typically should receive nothing.D. All of the above.E. None of the above.16. A firm in financial distress that reorganizes:A. continues to run the business as a going concern.B. must have acceptance of the plan by the creditors.C. may distribute new securities to creditors and shareholders.D. All of the above.E. None of the above.17. A corporation is adjudged bankrupt under Chapter 7. When do the shareholders receive any payment?A. After the trustee liquidates the assets and pays the administrative expenses, the shareholders are paid before the creditors.B. After the trustee liquidates the assets, the administrative expenses and secured creditors are paid, then the unsecured creditors, and then the shareholders divide any remainder.C. After the trustee liquidates the assets, the shareholders are paid, next the administrative expenses, the secured creditors, and then the unsecured creditors divide any remainder.D. After the trustee liquidates the assets the shareholders are paid first because they are the owners of the firm and have the principal stake.E. None of the above.18. What is the absolute priority rule of the following claims once a corporation is determined to be bankrupt?A. administrative expenses, wages claims, government tax claims, debtholder and then equityholder claimsB. administrative expenses, wages claims, government tax claims, equityholder and then debtholder claimsC. wage claims, administrative expenses, debtholder claims, government tax claims and equityholder claimsD. wage claims, administrative expenses, debtholder claims, equityholder claims and government tax claimsE. None of the above19. The absolute priority rule:A. is set to ensure senior claims are paid first.B. is the priority rule in liquidations.C. distributes proceeds of secured assets sales to the secured creditors first and the remainder to the unsecured.D. All of the above.E. None of the above.20. Many corporations choose Chapter 11 bankruptcy proceedings voluntarily because the management can:A. take up to 120 days to file a reorganization plan.B. continue to run the business.C. reorganize if the required fractions of creditors approve of the plan and it is confirmed when the reorganization takes place.D. All of the above.E. None of the above.21. Which of the following statements about private workouts of financial distress is NOT true?A. Senior debt is usually replaced with junior debt.B. Debt is usually replaced with equity.C. Private workouts account for about three quarters of all reorganizations.D. Top management is often dismissed or takes pay reductions.E. None of the above.22. Successful private workouts are better for firms than formal bankruptcy because:A. direct costs are considerably lower in private workouts.B. private workout firms can issue new debt senior to all prior debt.C. stock price increases are greater for private workouts than for firms emerging from formal bankruptcy.D. Both A and B.E. Both A and C.23. Equityholders may prefer a formal bankruptcy filing because:A. the firm can issue debtor in possession debt.B. the firm can delay pre-bankruptcy interest payments.C. the lack of information about the length and magnitude of the cash flow problem favors equityholders.D. All of the above.E. None of the above.24. Prepackaged bankruptcies are:A. described as a combination of a private workout and a liquidation.B. the easiest way to transfer wealth to the shareholders.C. described as a combination of a completed private workout and the formal bankruptcy filing.D. All of the above.E. None of the above.25. In a prepackaged bankruptcy the firm:A. and creditors agree to a private reorganization outside formal bankruptcy.B. must reach agreement privately with most of the creditors.C. will have difficulty when there are thousands of reluctant trade creditors.D. All of the above.E. None of the above.26. Financial distress may be more expensive if the:A. information about the permanency of the shortfall is limited.B. firm has many different types of creditors and other investors.C. firm has never entered into bankruptcy before.D. Both A and B.E. Both B and C.27. The net payoff to creditors in formal bankruptcy may be low in present value terms because:A. the financial structure may be complicated with several groups and types of creditors.B. indirect costs of bankruptcy may have been costly in lost revenues and poor maintenance.C. administrative costs are high and increase with the complexity and length of time in the formal bankruptcy process.D. All of the above.E. None of the above.28. Firms deal with financial distress by:A. selling major assets.B. merging with another firm.C. issuing new securities.D. exchanging debt for equity.E. All of the above.29. Perhaps equally, if not more damaging are the indirect costs of financial distress. Some examples of indirect costs are:A. loss of current customers.B. loss of business reputation.C. management consumed in survival and not on a strategic direction.D. All of the above.E. Both A and B.30. Credit scoring models are used by lenders to:A. determine the borrowers capacity to pay.B. aid in the prediction of default or bankruptcy.C. determine the optimal debt equity ratio.D. Both A and B.E. Both A and C.31. Altman develop the Z-score model for publicly traded manufacturing firms. Using financial statement data and multiple discriminant analysis, he found that:A. in actual use, a Z-score greater than 2.99 meant bankruptcy within one year.B. in actual use, a Z-score greater than 1.81 implied a 90% chance of bankruptcy within one year.C. in actual use, a Z-score of less than 1.81 would predict bankruptcy within one year.D. in actual use, a Z-score less than 2.99 meant non-bankruptcy within one year.E. None of the above.32. The key intuition of a Z-score model like Altman's is that:A. only publicly traded firms can be evaluated.B. one will be just as well off by guessing on default rates.C. all corporations will default at least once.D. financial profiles of bankrupt and non-bankrupt firms are very different one year before bankruptcy.E. privately traded firms have better financial information which are disclosed to lenders and need not rely on any efficient market notions.33. Approximately ____ of all firms going through a Chapter 11 bankruptcy successfully reorganize.A. 0%B. 15%C. 25%D. 50%E. 85%34. Altman's Z-score predicts the:A. percentage of payout to equityholders in liquidations.B. percentage of payout to equityholders in reorganization.C. likelihood of a private workout.D. likelihood of bankruptcy of a firm within one year.E. None of the above.35. Very small firms (i.e. firms with assets less than $100,000) are more likely to:A. file for strategic bankruptcy.B. file for bankruptcy protection earlier than large firms.C. reorganize than liquidate compared to large firms.D. liquidate than reorganize compared to large firms.E. None of the above.36. A large negative equity position will lead a firm to be more likely to try to:A. not file bankruptcy.B. liquidate.C. reorganize.D. consolidate.E. None of the above.Magic Mobile Homes is to be liquidated. All creditors, both secured and unsecured, are owed $2 million. Administrative costs of liquidation and wage payments are expected to be $500,000.A sale of assets is expected to bring $1.8 million after taxes. Secured creditors have a mortgage lien for $1,200,000 on the factory which will be liquidated for $900,000 out of the sale proceeds. The corporate tax rate is 34%.37. How much and what percentage of their claim will the unsecured creditors receive, in total?A. $100,000; 12.50%.B. $290,909; 36.36%.C. $300,000; 37.50%.D. $600,000; 75.00%.E. Not enough information to answer38. How much and what percentage of their claim will the secured creditors receive, in total?A. $900,000; 75%B. $981,818; 81.82%C. $1,009,091; 84.1%D. $1,200,000; 100%E. Not enough information to answer.The management of Magic Mobile Homes has proposed to reorganize the firm. The proposal is based on a going-concern value of $2 million. The proposed financial structure is $750,000 in new mortgage debt, $250,000 in subordinated debt and $1,000,000 in new equity. All creditors, both secured and unsecured, are owed $2.5 million dollars. Secured creditors have a mortgage lien for $1,500,000 on the factory. The corporate tax rate is 34%.39. How much should the secured creditors receive?A. $1,000,000B. $1,250,000C. $1,333,333D. $1,500,000E. None of the above.40. How much should the unsecured creditors receive?A. $500,000B. $667,000C. $750,000D. $1,000,000E. None of the above.41. What will the equityholders receive if they had 5 million shares with a par value of $0.50 each?A. $0B. $35,714C. $583,333D. $1,000,000E. None of the above.The management of Schroeder Books has proposed to reorganize the company. The proposal is based on a going-concern value of $2.3 million. The proposed financial structure is $500,000 in new mortgage debt, $300,000 in subordinated debt and $1,500,000 in new equity. All creditors, both secured and unsecured, are owed $3 million dollars. Secured creditors have a mortgage lien for $2,000,000 on the book bindery. The corporate tax rate is 34%.42. How much should the secured creditors receive?A. $1,500,000B. $2,000,000C. $2,300,000D. $3,000,000E. None of the above.43. How much should the unsecured creditors receive?A. $300,000B. $500,000C. $1,000,000D. $2,300,000E. None of the above.44. What will the equityholders receive if they had 5 million shares with a par value of $0.50 each?A. $0B. $35,714C. $583,333D. $1,000,000E. None of the above.Essay Questions45. The Steel Pony Company, a maker of all-terrain recreational vehicles, is having financial difficulties due to high interest payments. The estimated "going concern" value of Steel Pony is $4.0 million. The senior debt claim is on all fixed assets. The balance sheet of the firm is as shown:If Steel Pony decides to file for formal bankruptcy and expects to sell the firm for the "going concern" value and pay administrative fees which amount to 5% of the total going concern value, determine the distribution of the proceeds under the rules of absolute priority.46. The Here Today Corporation has applied to your bank for a loan. You have their financial statements and the revised Z-score model of:Z = 6.56 (Net Working Capital/Total Assets) + 3.26 (Accumulated Retained Earnings/Total Assets) + 1.05 (EBIT/Total Assets) + 6.72 (Book Value of Equity/Total Liabilities) where:Z < 1.23 predicts bankruptcy. A Z score between 1.23 and 2.90 indicates gray area. A Z score greater than 2.90 indicates no bankruptcy. From the financial statements you gathered net working capital of $237,500; accumulated retained earnings of $120,000; book value of equity of $950,000; total assets of $4,750,000; EBIT of $261,250; and total liabilities of $3,800,000. Should the bank lend to Here Today?47. When choosing between liquidation and reorganization, what are some of the empirical factors that lead a firm toward one choice or the other?Chapter 30 Financial Distress Answer KeyMultiple Choice Questions1. Financial distress can be best described by which of the following situations in which the firm is forced to take corrective action?A. Cash payments are delayed to creditors.B. The market value of the stock declines by 10%.C. The firm's operating cash flow is insufficient to pay current obligations.D. Cash distributions are eliminated because the board of directors considers the surplus account to be low.E. None of the above.Difficulty level: EasyTopic: FINANCIAL DISTRESSType: DEFINITIONS2. Insolvency can be defined as:A. not having cash.B. being illiquid.C. an inability to pay one's debts.D. an inability to increase one's debts.E. the present value of payments being less than assets.Difficulty level: EasyTopic: INSOLVENCYType: DEFINITIONS3. Stock-based insolvency is a:A. income statement measurement.B. balance sheet measurement.C. a book value measurement only.D. Both A and C.E. Both B and C.Difficulty level: EasyTopic: STOCK-BASED INSOLVENCYType: DEFINITIONS4. Flow-based insolvency is:A. a balance sheet measurement.B. a negative equity position.C. when operating cash flow is insufficient to meet current obligations.D. inability to pay one's debts.E. Both C and D.Difficulty level: EasyTopic: FLOW-BASED INSOLVENCYType: DEFINITIONS5. Financial restructuring can occur as:A. a private workout.B. an employee buy-out.C. a bankruptcy reorganization.D. Both A and C.E. Both B and C.Difficulty level: MediumTopic: FINANCIAL RESTRUCTURINGType: DEFINITIONS6. Financial distress can involve which of the following:A. asset restructuring.B. financial restructuring.C. liquidation.D. All of the above.E. None of the above.Difficulty level: EasyTopic: FINANCIAL DISTRESSType: DEFINITIONS7. APR, as it relates to financial distress, means the rules of:A. absolute profitability.B. arbitration priority.C. absolute priority.D. arbitration profitability.E. automatic profitability.Difficulty level: MediumTopic: RULES OF ABSOLUTE PRIORITYType: DEFINITIONS8. The difference between liquidation and reorganization is:A. reorganization terminates all operations of the firm and liquidation only terminatesnon-profitable operations.B. liquidation terminates only profitable operations and reorganization terminates onlynon-profitable operations.C. liquidation terminates all operations and reorganization maintains the option of the firm as a going concern.D. liquidation only deals with current assets and reorganization only consolidates debt.E. None of the above.Difficulty level: MediumTopic: REORGANIZATION AND LIQUIDATIONType: DEFINITIONS9. A firm that has a series of negative earnings, sales declines and workforce reductions is likely headed to:A. acquisition of another firm.B. a merger.C. financial distress.D. new financing.E. None of the above.Difficulty level: MediumTopic: FINANCIAL DISTRESSType: CONCEPTS10. Some of the various events which typically occur around the period of financial distress fora firm are:A. continued increase in earnings.B. steady growth.C. dividend reductions.D. Both A and B.E. Both A and C.Difficulty level: EasyTopic: FINANCIAL DISTRESSType: CONCEPTS11. Bankruptcy reorganizations are used by management to:A. forestall the inevitable liquidation in all cases.B. provide time to turn the business around.C. allow the courts time to set up an administrative structure.D. All of the above.E. None of the above.Difficulty level: EasyTopic: REORGANIZATIONType: CONCEPTS12. A firm has several options available to it in times of financial distress. The firm may:A. reduce capital and R & D spending.B. raise new funds by selling securities or major assets.C. file for bankruptcy.D. negotiate with lenders.E. All of the above statements are true.Difficulty level: MediumTopic: FINANCIAL DISTRESSType: CONCEPTS13. Most firms in financial distress do not fail and cease to exist. Many firms can actually benefit from distress by:A. forcing a firm to reevaluate their core operations.B. realigning their capital structure to reduce interest costs.C. entering Chapter 11 and liquidating the firm.D. Both A and B.E. Both A and C.Difficulty level: EasyTopic: FINANCIAL DISTRESSType: CONCEPTS14. Whether bankruptcy is entered voluntarily or involuntarily the major difference between Chapter 7 and Chapter 11 is:A. that liquidation occurs in Chapter 11 but reorganization is the objective under Chapter 7.B. that there is no priority of claims under Chapter 11.C. that liquidation occurs in Chapter 7 but reorganization is the objective under chapter 11.D. no lawyers fees are necessary under Chapter 7.E. None of the above.Difficulty level: EasyTopic: LIQUIDATION OR REORGANIZATIONType: CONCEPTS15. If a firm has a stock based insolvency in both book and market value terms and liquidates:A. the payoff will not be 100% to all investors.B. the unsecured creditors are likely to get less than full value.C. the equityholders typically should receive nothing.D. All of the above.E. None of the above.Difficulty level: EasyTopic: STOCK BASED INSOLENCYType: CONCEPTS16. A firm in financial distress that reorganizes:A. continues to run the business as a going concern.B. must have acceptance of the plan by the creditors.C. may distribute new securities to creditors and shareholders.D. All of the above.E. None of the above.Difficulty level: EasyTopic: REORGANIZATIONType: CONCEPTS17. A corporation is adjudged bankrupt under Chapter 7. When do the shareholders receive any payment?A. After the trustee liquidates the assets and pays the administrative expenses, the shareholders are paid before the creditors.B. After the trustee liquidates the assets, the administrative expenses and secured creditors are paid, then the unsecured creditors, and then the shareholders divide any remainder.C. After the trustee liquidates the assets, the shareholders are paid, next the administrative expenses, the secured creditors, and then the unsecured creditors divide any remainder.D. After the trustee liquidates the assets the shareholders are paid first because they are the owners of the firm and have the principal stake.E. None of the above.Difficulty level: EasyTopic: LIQUIDATIONType: CONCEPTS18. What is the absolute priority rule of the following claims once a corporation is determined to be bankrupt?A. administrative expenses, wages claims, government tax claims, debtholder and then equityholder claimsB. administrative expenses, wages claims, government tax claims, equityholder and then debtholder claimsC. wage claims, administrative expenses, debtholder claims, government tax claims and equityholder claimsD. wage claims, administrative expenses, debtholder claims, equityholder claims and government tax claimsE. None of the aboveDifficulty level: MediumTopic: RULES OF ABSOLUTE PRIORITYType: CONCEPTS19. The absolute priority rule:A. is set to ensure senior claims are paid first.B. is the priority rule in liquidations.C. distributes proceeds of secured assets sales to the secured creditors first and the remainder to the unsecured.D. All of the above.E. None of the above.Difficulty level: EasyTopic: RULES OF ABSOLUTE PRIORITYType: CONCEPTS20. Many corporations choose Chapter 11 bankruptcy proceedings voluntarily because the management can:A. take up to 120 days to file a reorganization plan.B. continue to run the business.C. reorganize if the required fractions of creditors approve of the plan and it is confirmed when the reorganization takes place.D. All of the above.E. None of the above.Difficulty level: EasyTopic: REORGANIZATIONType: CONCEPTS21. Which of the following statements about private workouts of financial distress is NOT true?A. Senior debt is usually replaced with junior debt.B. Debt is usually replaced with equity.C. Private workouts account for about three quarters of all reorganizations.D. Top management is often dismissed or takes pay reductions.E. None of the above.Difficulty level: MediumTopic: PRIVATE WORKOUTSType: CONCEPTS22. Successful private workouts are better for firms than formal bankruptcy because:A. direct costs are considerably lower in private workouts.B. private workout firms can issue new debt senior to all prior debt.C. stock price increases are greater for private workouts than for firms emerging from formal bankruptcy.D. Both A and B.E. Both A and C.Difficulty level: MediumTopic: PRIVATE WORKOUTSType: CONCEPTS23. Equityholders may prefer a formal bankruptcy filing because:A. the firm can issue debtor in possession debt.B. the firm can delay pre-bankruptcy interest payments.C. the lack of information about the length and magnitude of the cash flow problem favors equityholders.D. All of the above.E. None of the above.Difficulty level: MediumTopic: FINANCIAL DISTRESS- EQUITY HOLDER PREFERENCESType: CONCEPTS24. Prepackaged bankruptcies are:A. described as a combination of a private workout and a liquidation.B. the easiest way to transfer wealth to the shareholders.C. described as a combination of a completed private workout and the formal bankruptcy filing.D. All of the above.E. None of the above.Difficulty level: EasyTopic: PREPACKAGED BANKRUPTCIESType: CONCEPTS25. In a prepackaged bankruptcy the firm:A. and creditors agree to a private reorganization outside formal bankruptcy.B. must reach agreement privately with most of the creditors.C. will have difficulty when there are thousands of reluctant trade creditors.D. All of the above.E. None of the above.Difficulty level: MediumTopic: PREPACKAGED BANKRUPTCIESType: CONCEPTS26. Financial distress may be more expensive if the:A. information about the permanency of the shortfall is limited.B. firm has many different types of creditors and other investors.C. firm has never entered into bankruptcy before.D. Both A and B.E. Both B and C.Difficulty level: MediumTopic: COSTS OF FINANCIAL DISTRESSType: CONCEPTS27. The net payoff to creditors in formal bankruptcy may be low in present value terms because:A. the financial structure may be complicated with several groups and types of creditors.B. indirect costs of bankruptcy may have been costly in lost revenues and poor maintenance.C. administrative costs are high and increase with the complexity and length of time in the formal bankruptcy process.D. All of the above.E. None of the above.Difficulty level: MediumTopic: PAYOFF TO CREDITORSType: CONCEPTS28. Firms deal with financial distress by:A. selling major assets.B. merging with another firm.C. issuing new securities.D. exchanging debt for equity.E. All of the above.Difficulty level: MediumTopic: FINANCIAL DISTRESSType: CONCEPTS29. Perhaps equally, if not more damaging are the indirect costs of financial distress. Some examples of indirect costs are:A. loss of current customers.B. loss of business reputation.C. management consumed in survival and not on a strategic direction.D. All of the above.E. Both A and B.Difficulty level: EasyTopic: INDIRECT COSTS FO FINANCIAL DISTRESSType: CONCEPTS。
公司理财公式总结
Assets=Liabilities+Stockholders’EquityAssets=(Current+Fixed)AssetsNetWorkingCapital=CurrentAssets–CurrentLiabilitiesRevenues-Expenses=IncomeSalesorRevenues(-)Costofgoodssold(=)Grossprofit毛利(-)Administrative/marketingcosts行政管理/营销成本,Depreciation折旧(=)OperatingProfit营业利润(-)Interests,Taxes(=)Netincome净收益(-)Dividendstopreferredstocks(=)EarningavailabletocommonshareholdersCashFlowFromAssets(CFFA)=CashFlowtoCreditors+CashFlowtoStockholdersCashFlowFromAssets=OperatingCashFlow营运现金流量–NetCapitalSpending净资本支出–ChangesinNWC净营运资本的变化OCF(I/S)营运现金流=EBIT息税前利润+depreciation–taxes=$547NCS净资本支出(B/SandI/S)=endingnetfixedassets–beginningnetfixedassets+depreciation=$130ChangesinNWC(B/S)=endingNWC–beginningNWC=$330CFFA=547–130–330=$87CFtoCreditors(B/SandI/S)=interestpaid–netnewborrowing=$24CFtoStockholders(B/SandI/S)=dividendspaid–netnewequityraised=$63CFFA=24+63=$87CurrentRatio流动比率=CA/CL2,256/1,995=1.13timesQuickRatio速动比率=(CA–Inventory)/CL(2,256–301)/1,995=.98timesCashRatio现金比率=Cash/CL696/1,995=.35timesNWCtoTotalAssets=NWC/TA(2,256–1,995)/5,394=.05IntervalMeasure区间测量=CA/averagedailyoperatingcosts2,256/((2,006+1,740)/365)=219.8daysTotalDebtRatio资产负债率=(TA–TE)/TA(5,394–2,556)/5,394=52.61%Debt/Equity资本负债率=TD/TE(5,394–2,556)/2,556=1.11timesEquityMultiplier权益乘数=TA/TE=1+D/E1+1.11=2.11Long-termdebtratio长期债务率=LTD/(LTD+TE)843/(843+2,556)=24.80%TimesInterestEarned利息保障倍數=EBIT息税前利润EarningsBeforeInterestandTax/Interest1,138/7=162.57times CashCoverage现金涵盖比率=(EBIT+Depreciation)/Interest(1,138+116)/7=179.14timesInventoryTurnover存货周转=CostofGoodsSold/Inventory2,006/301=6.66timesDays’SalesinInventory销售库存的天数=365/InventoryTurnover365/6.66=55daysReceivablesTurnover应收帐款周转率=Sales/AccountsReceivable5,000/956=5.23timesDays’SalesinReceivabl es=365/ReceivablesTurnover365/5.23=70daysTotalAssetTurnover=Sales/TotalAssets5,000/5,394=.93ItisnotunusualforTAT<1,especiallyifafirmhasalargeamountoffixedassetsNWCTurnover=Sales/NWC5,000/(2,256–1,995)=19.16timesFixedAssetTurnover=Sales/NFA5,000/3,138=1.59timesProfitMargin 利润率=NetIncome/Sales689/5,000=13.78%ReturnonAssets 资产收益率(ROA)=NetIncome/TotalAssets689/5,394=12.77%ReturnonEquity 股本回报率(ROE)=NetIncome/TotalEquity689/2,556=26.96%PERatio 市盈率=Pricepershare 每股价格/Earningspershare 每股收益87.65/3.61=24.28timesMarket-to-bookratio 市价与账面值比率=marketvaluepershare/bookvaluepershare 每股市价/每股账面价值87.65/(2,556/190.9)=6.55timesROE=PM*TAT*EMFutureValuesFV=PV(1+r)tPV=FV/(1+r)tFV=futurevaluePV=presentvaluer=periodinterestrate,expressedasadecimal (用小数表示)t=numberofperiodsPerpetuity 永续年金:PV=C/rAnnuities 年金:⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡+-=r r C PV t )1(11 ⎥⎦⎤⎢⎣⎡-+=r r C FV t 1)1(GrowingAnnuity 增长年金 ⎥⎥⎦⎤⎢⎢⎣⎡⎪⎪⎭⎫ ⎝⎛++--=t r g g r CPV )1()1(1永久g r C PV -=APR 年度成本百分率EAREffectiveAnnualRate1 m APR 1 EAR m-⎥⎦⎤⎢⎣⎡+=此处均为年利率,有时候给了年利率要换成月、季利率、天利率!!!自己体会!!!! t t r)(1FV r r)(11-1C Value Bond ++⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡+= BondValue=PVofcoupons 息票+PVofpar 票面价值BondValue=PVofannuity 年金+PVoflumpsum 总金额CurrentYield 现价息率=annualcoupon/priceYieldtomaturity=currentyield+capitalgainsyield 资本利得收益率(1+R)=(1+r)(1+h),whereR=nominalrater=realrateh=expectedinflationrateApproximation 近似法R=r+hg-R D g -R g)1(D P 100=+= requiredreturn g P D g P g)1(DR 0100+=++=whereD1/P0isthedividendyield 股息率andgisthecapitalgainsyield 资本利得收益率averageaccountingreturnAAR=AverageNetIncome/AverageBookValueE R thecostofequityg P D R E +=01见ppt14的9 Risk-freerate,RfMarketriskpremium 市场风险溢价,E(RM)–RfSystematicriskofasset 系统性风险的资产,βBetawE=E/V=percentfinancedwithequitywD=D/V=percentfinancedwithdebtE=marketvalueofequity=#ofoutstandingsharestimespricepershareD=marketvalueofdebt=#ofoutstandingbondstimesbondpriceV=marketvalueofthefirm=D+E100%=D/V+E/VWACC=w E R E +w D R D (1-T C )after-taxcostofdebtR D (1-T C )世上没有一件工作不辛苦,没有一处人事不复杂。
公司理财第九版 -第8章
特例:Zero Growth
• If dividends are expected at regular intervals forever, then this is a perpetuity and the present value of expected future dividends can be found using the perpetuity formula,永续年金形式
– P0 = 4 / (.16 - .06) = $40 – Remember that we already have the dividend expected next year, so we don’t multiply the dividend by 1+g
8-16
Example 8.3 – Gordon Growth Company - II
D1 = $2; g = 5%
8-15
Example 8.3 Gordon Growth Company - I
• Gordon Growth Company is expected to pay a dividend of $4 next period, and dividends are expected to grow at 6% per year. The required return is 16%. • What is the current price?
• Supernormal growth 非正常增长
– Dividend growth is not consistent initially, but settles down to constant growth eventually – The price is computed using a multistage model
公司理财实验指导书
《公司理财》实验指导书目录实验一:货币的时间价值与风险价值实验二:证券估值实验三:筹资方式选择实验四:公司业绩分析实验五:项目投资经济评价实验六:固定资产更新决策附件一附件二实验一:货币的时间价值与风险价值一、实验目的通过实验使学生理解货币的时间价值、风险价值的概念;利用EXCEL函数FV、PV及电子表格软件,熟悉并掌握货币时间价值,即终值、现值及风险价值的计算方法并对决策方案做出客观评价。
二、实验内容:1、终值、现值计算2、名义利率和实际利率的计算3、风险、收益计算三、实验内容(一)现值、终值的基本模型表3-3 Excel电子表格程序输入公式求解变量输入函数计算终值:FV = FV(Rate,Nper,Pmt,PV,Type)计算现值:PV = PV(Rate, Nper, Pmt, FV, Type)计算每期等额现金流量:PMT = PMT (Rate,Nper,PV,FV,Type)计算期数:n = NPER(Rate, Pmt, PV, FV, Type)计算利率或折现率:r = RATE(Nper, Pmt, PV, FV, Type)(二)利用Excel计算终值和现值应注意的问题1.利率或折现率最好以小数的形式输入。
【例】将折现率0.07写成7%。
2.现金流量的符号问题,在FV,PV和PMT三个变量中,其中总有一个数值为零,因此在每一组现金流量中,总有两个异号的现金流量。
3.如果某一变量值为零,输入“0”;如果某一变量值(在输入公式两个变量之间)为零,也可以“,”代替。
【例】计算一个等额现金流量为4 000元,计息期为6年,利率为7%的年金终值。
【例】假设你持有现金1 200元,拟进行一项收益率为8%的投资,问经过多少年可使资本增加一倍?【例3- 3】ABC公司计划购买办公用品,供应商提供两种付款方式:(1)在购买时一次付款9 000元;(2)5年分期付款,每年付款2次,每次付款1 200元。
【公司管理】公司理财
【公司管理】公司理财第一章公司理财概述一、名词解释1、公司理财2、财务活动二、单项选择1、公司理财在筹资理财阶段的重点内容是()。
A、有效运用资金B、如何设法筹集到所需资金C、研究投资组合D、国际融资2、内部控制理财阶段公司理财的重点内容是()。
A、有效运用资金B、如何设法筹集到所需资金C、研究投资组合D、国际融资3、现代公司理财的目标是()。
A、获利能力最大化B、偿债能力最大化C、追求财富最大化D、追求利润最大化4、当()达到最高时,意味着股东财富达到最大化。
A、每股溢价B、每股股利C、每股收益D、股票价格5、资金运动的起点和终点都是()。
A、货币资金B、商品资金C、生产资金D、结算资金6、由于生产经营活动地进行而引起资金不断地循环叫做()。
A、资金运动B、财务活动C、资金周转D、资金耗费7、资金的运用、耗费和收回又称为()。
A、分配B、投资C、支出D、决策8、股东财富由其所拥有的股票数量和()两个因素所决定的。
A、持股比例B、股权结构C、股票市场价格D、股票市场规范程度三、多项选择1、以利润最大化作为公司理财目标存在的缺陷有()。
A、不能准确反映所获利润额与投入资本额的关系B、没有考虑利润发生的时间C、没有考虑货币的时间价值D、没有考虑到经营风险问题,会导致公司管理当局不顾风险大小盲目追求利润最大化E、会导致公司理财决策者的短期行为2、公司资产价值增加,生产经营能力提高,意味着公司具有持久的、强大的()。
A、发展能力B、增值能力C、获利能力D、偿债能力E、支付能力3、股东财富最大化理财目标具有的优点有()。
A、考虑了货币的时间价值B、考虑了风险价值 C 、体现了对公司资产保值增值的要求 D、克服公司经营上的短期行为 E、促使公司理财当局从长远战略进行财务决策4、公司理财的内容包括()。
A、筹资决策B、投资决策C、股利分配决策D、价格决策E、成本决策5、公司财务活动的内容包括()。
A、资金的筹集B、资金的运用C、资金的耗费D、资金的收回E、资金的分配6、公司从投资者那里筹集到的资金可以是()。
公司理财英文版第十六章
Example: Homemade Leverage and ROE
• Current Capital • Proposed Capital Structure Structure • Investor borrows $500 • Investor buys $250 worth of and uses $500 of her own stock (25 shares) and $250 to buy 100 shares of stock worth of bonds paying 10%. • Payoffs: • Payoffs:
– RA is the “cost” of the firm’s business risk, i.e., the risk of the firm’s assets – (RA – RD)(D/E) is the “cost” of the firm’s financial risk, i.e., the additional return required by stockholders to compensate for the risk of leverage
• Proposition II
– The WACC of the firm is NOT affected by capital structure
16-14
Case I - Equations
• WACC = RA = (E/V)RE + (D/V)RD • RE = RA + (RA – RD)(D/E)
16-3
Capital Restructuring
• We are going to look at how changes in capital structure affect the value of the firm, all else equal • Capital restructuring involves changing the amount of leverage a firm has without changing the firm’s assets • The firm can increase leverage by issuing debt and repurchasing outstanding shares • The firm can decrease leverage by issuing new shares and retiring outstanding debt
公司理财产品方案
公司理财产品方案随着现代金融市场的发展和公司经营的需要,越来越多的企业开始关注和积极参与理财投资。
企业理财产品方案成为了实现资金保值增值、优化资金运营和实现财务目标的重要手段之一。
本文将介绍公司理财产品方案的定义、特点以及设计要点,帮助企业更好地制定理财策略和选择适合的理财产品。
一、公司理财产品方案的概念和特点公司理财产品方案是企业为了满足财务管理和资金运营需求而制定的一套理财投资策略和方案。
其目标是确保企业的资金安全、提高资金收益,同时满足企业的流动性要求。
公司理财产品方案的特点如下:1. 高度定制化:根据企业的特定需求和财务状况,制定适合企业的理财产品方案。
不同企业的理财产品方案可能会有所差异,涉及不同的投资工具、风险控制措施和预期收益等。
2. 多元化投资:公司理财产品方案通常包括多种不同类型的理财产品,以实现风险的分散和收益的最大化。
常见的投资工具包括货币市场基金、债券、股票、结构性存款等。
3. 预期收益与风险权衡:公司理财产品方案需要在预期收益和风险之间进行权衡和平衡。
较高的预期收益通常伴随着更高的风险,企业需要根据自身的风险承受能力和财务目标来选择适合的投资产品。
4. 流动性管理:公司理财产品方案需要兼顾资金的流动性,以满足日常经营和运营的资金需求。
企业需要评估投资产品的流动性,避免出现资金短缺或长期锁定。
二、设计公司理财产品方案的要点设计公司理财产品方案需要考虑以下要点:1. 财务目标:企业制定理财产品方案的首要任务是明确财务目标。
这些目标可能包括资金保值增值、提高资金利用效率、降低财务风险等。
只有明确财务目标,才能选择合适的投资工具和制定相应的投资策略。
2. 风险评估:在设计理财产品方案时,要进行全面的风险评估。
包括评估投资产品的风险水平、企业的风险承受能力以及市场环境的变化等。
通过评估风险,制定合理的投资组合,最大限度地保护企业的资金安全。
3. 资金流动性:企业理财产品方案需要兼顾资金的流动性和收益性。
公司理财(罗斯)第1章(英文
03 Valuation Basis
The concept and significance of valuation
要点一
Definition
Valuation is the process of estimating the worth of an asset or a company, typically through the use of financial metrics and analysis.
The Time Value of Money
公司理财简答题
1.Who owns a corporation? Describe the process whereby the owners control the firm’smanagement. What is the main reason that an agency relationship exists in the corporate form of organization? What kinds of problems can arise?Answer: In the corporate form of ownership, the shareholders are the owners of the firm. The shareholders elect the directors of the corporation, who in turn appoint the firm’s management. This separation of ownership from control in the corporate form of organization is what causes agency problems to exist. Management may act in its own or someone else’s best interests, rather than those of the shareholders. If such events occur, they may contradict the goal of maximizing the share price of the equity of the firm.2.According to the CAPM, the expected return on a risky asset depends on three components. Describe each component, and explain its role in determining expected return.Answer: The CAPM suggests that the expected return is a function of (1) the risk-free rate of return, which is the pure time value of money, (2) the market risk premium, which is the reward for bearing systematic risk, and (3) beta, which is the amount of systematic risk present in a particular asset. Better answers will point out that both the pure time value of money and the reward for bearing systematic risk are exogenously determined and can change on a daily basis, while the amount of systematic risk for a particular asset is determined by the firm’s decision-makers.3.Based on M&M without taxes and with taxes, what is optimal capital structure theory of M& M under these two cases?Answer: 1. the no-tax caseProposition Ⅰ: Vl = Vu•The value of the firm is NOT affected by changes in the capital structure.•The cash flows of the firm do not change; there fore, value doesn’t change.Proposition II: RE = RA + (RA –RD)(D/E)•The WACC of the firm is NOT affected by capital structure.•The cost of equity rises as the firm increases its use of debt financing.2. the tax casePropositionⅠ : Vl = Vu + Tc * DDebt financing is highly advantages, and in the extreme, a firm’s optimal capital structure is 100 percent debt.A firm’s weighted average cost of capital (WACC) decreases as the firm relies more heavily on debt financing.PropositionⅡ:Re = Ru + (Ru – Rd) * (D/E) * (1-Tc)4. Answer all of the following questions:a)Why does asymmetric information push companies to raise external funds byborrowing rather than by issuing common stocks?b)Describe the clientele effect. Does the existence of a clientele effect mean that firmscan alter their market value by altering their dividend policy? What does the clientele effect imply about the type of dividend policy a firm should adopt?Solutiona) In raising finance, managers often appear to follow a pecking order, whereinternal funds are preferred, followed by debt, hybrid securities and then, as a last resort, the issue of ordinary shares. Myer (1984) explains this pecking order as being a result of information asymmetry, whereby:•All relevant information is not know by all interest parties; and,•This typically involves company insiders (managers) having more information about the company than outsiders (shareholders and lenders).In other words, according to this argument, the choice of debt or equity will depend on whether management believes that the firm is overvalued or undervalued relative to some “intrinsic” value. More specifically:•If management believes the firm is undervalued, they will choose to issue the security that is least undervalued in order to raise funds: in other words,management will issue debt as it is less sensitive to mispricing than isequity; but,•If management believes the firm is overvalued, they will choose to issue the security that is most overvalued in order to raise funds: for the samereasons as above, they will choose to issue equity.a)The term clientele effect describes the situation whereby investors choose topurchase shares in companies with characteristics meeting their specific requirements, particularly those relating to dividends. One example of such an effect would be shareholders who can best make use of tax credits investing in firms who tend to pay fully franked dividends. The existence of a clientele effect does not imply that a firm can alter its value simply by changing its dividend policy: By changing its dividend policy, the firm merely swaps one clientele for another, with this change having no effect on the firm’s value.The clientele effect implies that companies should select a stable dividend policy, or choose a clientele and stick with them.ment on the following statement: “In a world where corporate taxes and financial distress costs exist, it is obvious that companies should use as much debt as possible. It is cheaper than equity and the interest expenses are tax deductible as well.”Answer: In a world with corporate taxes and financial distress, the benefit of debt is that interest paid on borrowings is tax deductible. However, as leverage increases, so too do the costs associated with financial distress. Given this, the optimal capital structure (ie the one that maximizes firm value) is one where the marginal benefit of debt is equal to the marginal cost of debt.6.What are the financial decisions facing the managers of firms? How are they related?7. The following statements appear to be inconsistent.a) “Share price is present value of expected future dividends.”b) “Dividend policy is irrelevant.”Explain why these statements are or are not consistent with each other.。
公司理财 (《公司理财》PPT课件
第2节 利润表分析
一、认识利润表 利润表也称作损益表,它是反映公司经
营成果的报表,与资产负债表不同的是, 它反映的不同一个时点,而是一定时期 的数据,所以人们把它归结为动态报表。
收入
收入,是指公司在日常活动中形成的、 会导致所有者权益增加的、与所有者投 入资本无关的经济利益的总流入。收入 具体包括销售商品收入、提供劳务收入 和让渡资产使用权收入。
(三)政府
国家的中央政府和地方政府为了弥补财政收支 上的赤字。或是为了国家或地方的某项公共工 程建设,可以通过发行各种债券筹集资金,所 以政府是金融市场的资金需求者。政府有时也 会出于对经济活动的干预和调节而向金融市场 提供资金。中央政府和地方政府都是金融市场 的参与者。
(四)个人
个人是金融市场重要的资金供应者。在 我国,个人或是直接参与金融市场的交 易活动,或是成为金融市场间接融资的 资金供应者。当然,个人也可以成为金 融市场上的资金需求者。
资产
资产是指公司过去的交易或者事项形成 的、由公司拥有或者控制的、预期会给 公司带来经济利益的资源。
在同时满足以下条件时,确认为资产: (1)与该资源有关的经济利益很可能流入
公司; (2)该资源的成本或者价值能够可靠地计
量。
负债
负债是指公司过去的交易或者事项形成 的、预期会导致经济利益流出公司的现 时义务。
该指标反映公司应收账款的流动程度。计算公 式为:
赊销收入净额
应收账款周转率=—————————
平均应收账款余额
式中:
赊销收入净额=销售收入-现销收入-销售退 回、折让、折扣
平均应收账款余额=(期初应收账款+期末应 收账款)÷2
(二)存货周转率
该指标衡量公司销售能力和存货是否过 量。计算公式为:
罗斯《公司理财》第9版精要版英文原书课后部分章节答案
CH5 11,13,18,19,2011.To find the PV of a lump sum, we use:PV = FV / (1 + r)tPV = $1,000,000 / (1.10)80 = $488.1913.To answer this question, we can use either the FV or the PV formula. Both will give the sameanswer since they are the inverse of each other. We will use the FV formula, that is:FV = PV(1 + r)tSolving for r, we get:r = (FV / PV)1 / t– 1r = ($1,260,000 / $150)1/112– 1 = .0840 or 8.40%To find the FV of the first prize, we use:FV = PV(1 + r)tFV = $1,260,000(1.0840)33 = $18,056,409.9418.To find the FV of a lump sum, we use:FV = PV(1 + r)tFV = $4,000(1.11)45 = $438,120.97FV = $4,000(1.11)35 = $154,299.40Better start early!19. We need to find the FV of a lump sum. However, the money will only be invested for six years,so the number of periods is six.FV = PV(1 + r)tFV = $20,000(1.084)6 = $32,449.3320.To answer this question, we can use either the FV or the PV formula. Both will give the sameanswer since they are the inverse of each other. We will use the FV formula, that is:FV = PV(1 + r)tSolving for t, we get:t = ln(FV / PV) / ln(1 + r)t = ln($75,000 / $10,000) / ln(1.11) = 19.31So, the money must be invested for 19.31 years. However, you will not receive the money for another two years. Fro m now, you’ll wait:2 years + 19.31 years = 21.31 yearsCH6 16,24,27,42,5816.For this problem, we simply need to find the FV of a lump sum using the equation:FV = PV(1 + r)tIt is important to note that compounding occurs semiannually. To account for this, we will divide the interest rate by two (the number of compounding periods in a year), and multiply the number of periods by two. Doing so, we get:FV = $2,100[1 + (.084/2)]34 = $8,505.9324.This problem requires us to find the FVA. The equation to find the FVA is:FVA = C{[(1 + r)t– 1] / r}FVA = $300[{[1 + (.10/12) ]360 – 1} / (.10/12)] = $678,146.3827.The cash flows are annual and the compounding period is quarterly, so we need to calculate theEAR to make the interest rate comparable with the timing of the cash flows. Using the equation for the EAR, we get:EAR = [1 + (APR / m)]m– 1EAR = [1 + (.11/4)]4– 1 = .1146 or 11.46%And now we use the EAR to find the PV of each cash flow as a lump sum and add them together: PV = $725 / 1.1146 + $980 / 1.11462 + $1,360 / 1.11464 = $2,320.3642.The amount of principal paid on the loan is the PV of the monthly payments you make. So, thepresent value of the $1,150 monthly payments is:PVA = $1,150[(1 – {1 / [1 + (.0635/12)]}360) / (.0635/12)] = $184,817.42The monthly payments of $1,150 will amount to a principal payment of $184,817.42. The amount of principal you will still owe is:$240,000 – 184,817.42 = $55,182.58This remaining principal amount will increase at the interest rate on the loan until the end of the loan period. So the balloon payment in 30 years, which is the FV of the remaining principal will be:Balloon payment = $55,182.58[1 + (.0635/12)]360 = $368,936.5458.To answer this question, we should find the PV of both options, and compare them. Since we arepurchasing the car, the lowest PV is the best option. The PV of the leasing is simply the PV of the lease payments, plus the $99. The interest rate we would use for the leasing option is thesame as the interest rate of the loan. The PV of leasing is:PV = $99 + $450{1 – [1 / (1 + .07/12)12(3)]} / (.07/12) = $14,672.91The PV of purchasing the car is the current price of the car minus the PV of the resale price. The PV of the resale price is:PV = $23,000 / [1 + (.07/12)]12(3) = $18,654.82The PV of the decision to purchase is:$32,000 – 18,654.82 = $13,345.18In this case, it is cheaper to buy the car than leasing it since the PV of the purchase cash flows is lower. To find the breakeven resale price, we need to find the resale price that makes the PV of the two options the same. In other words, the PV of the decision to buy should be:$32,000 – PV of resale price = $14,672.91PV of resale price = $17,327.09The resale price that would make the PV of the lease versus buy decision is the FV of this value, so:Breakeven resale price = $17,327.09[1 + (.07/12)]12(3) = $21,363.01CH7 3,18,21,22,313.The price of any bond is the PV of the interest payment, plus the PV of the par value. Notice thisproblem assumes an annual coupon. The price of the bond will be:P = $75({1 – [1/(1 + .0875)]10 } / .0875) + $1,000[1 / (1 + .0875)10] = $918.89We would like to introduce shorthand notation here. Rather than write (or type, as the case may be) the entire equation for the PV of a lump sum, or the PVA equation, it is common to abbreviate the equations as:PVIF R,t = 1 / (1 + r)twhich stands for Present Value Interest FactorPVIFA R,t= ({1 – [1/(1 + r)]t } / r )which stands for Present Value Interest Factor of an AnnuityThese abbreviations are short hand notation for the equations in which the interest rate and the number of periods are substituted into the equation and solved. We will use this shorthand notation in remainder of the solutions key.18.The bond price equation for this bond is:P0 = $1,068 = $46(PVIFA R%,18) + $1,000(PVIF R%,18)Using a spreadsheet, financial calculator, or trial and error we find:R = 4.06%This is the semiannual interest rate, so the YTM is:YTM = 2 4.06% = 8.12%The current yield is:Current yield = Annual coupon payment / Price = $92 / $1,068 = .0861 or 8.61%The effective annual yield is the same as the EAR, so using the EAR equation from the previous chapter:Effective annual yield = (1 + 0.0406)2– 1 = .0829 or 8.29%20. Accrued interest is the coupon payment for the period times the fraction of the period that haspassed since the last coupon payment. Since we have a semiannual coupon bond, the coupon payment per six months is one-half of the annual coupon payment. There are four months until the next coupon payment, so two months have passed since the last coupon payment. The accrued interest for the bond is:Accrued interest = $74/2 × 2/6 = $12.33And we calculate the clean price as:Clean price = Dirty price – Accrued interest = $968 – 12.33 = $955.6721. Accrued interest is the coupon payment for the period times the fraction of the period that haspassed since the last coupon payment. Since we have a semiannual coupon bond, the coupon payment per six months is one-half of the annual coupon payment. There are two months until 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 = $22.67And we calculate the dirty price as:Dirty price = Clean price + Accrued interest = $1,073 + 22.67 = $1,095.6722.To find the number of years to maturity for the bond, we need to find the price of the bond. Sincewe 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/P0P0 = $80/.0755 = $1,059.60Now that we have the price of the bond, the bond price equation is:P = $1,059.60 = $80[(1 – (1/1.072)t ) / .072 ] + $1,000/1.072tWe can solve this equation for t as follows:$1,059.60(1.072)t = $1,111.11(1.072)t– 1,111.11 + 1,000111.11 = 51.51(1.072)t2.1570 = 1.072tt = log 2.1570 / log 1.072 = 11.06 11 yearsThe bond has 11 years to maturity.31.The price of any bond (or financial instrument) is the PV of the future cash flows. Even thoughBond 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(PVIFA3.5%,16)(PVIF3.5%,12) + $1,400(PVIFA3.5%,12)(PVIF3.5%,28) + $20,000(PVIF3.5%,40)P M= $19,018.78Notice that for the coupon payments of $1,400, we found the PVA 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) = $5,051.45CH8 4,18,20,22,24ing the constant growth model, we find the price of the stock today is:P0 = D1 / (R– g) = $3.04 / (.11 – .038) = $42.2218.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 Year 19, one year before the first dividend payment. Doing so, we get:P19 = $20.00 / .064P19 = $312.50The price of the stock today is the PV of the stock price in the future, so the price today will be: P0 = $312.50 / (1.064)19P0 = $96.1520.We can use the two-stage dividend growth model for this problem, which is:P0 = [D0(1 + g1)/(R –g1)]{1 – [(1 + g1)/(1 + R)]T}+ [(1 + g1)/(1 + R)]T[D0(1 + g2)/(R –g2)]P0= [$1.25(1.28)/(.13 – .28)][1 – (1.28/1.13)8] + [(1.28)/(1.13)]8[$1.25(1.06)/(.13 – .06)]P0= $69.5522.We are asked to find the dividend yield and capital gains yield for each of the stocks. All of thestocks 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: P0 = D0(1 + g) / (R–g) = $4.50(1.10)/(.19 – .10) = $55.00Dividend yield = D1/P0 = $4.50(1.10)/$55.00 = .09 or 9%Capital gains yield = .19 – .09 = .10 or 10%X: P0 = D0(1 + g) / (R–g) = $4.50/(.19 – 0) = $23.68Dividend yield = D1/P0 = $4.50/$23.68 = .19 or 19%Capital gains yield = .19 – .19 = 0%Y: P0 = D0(1 + g) / (R–g) = $4.50(1 – .05)/(.19 + .05) = $17.81Dividend yield = D1/P0 = $4.50(0.95)/$17.81 = .24 or 24%Capital gains yield = .19 – .24 = –.05 or –5%Z: P2 = D2(1 + g) / (R–g) = D0(1 + g1)2(1 + g2)/(R–g2) = $4.50(1.20)2(1.12)/(.19 – .12) = $103.68P0 = $4.50 (1.20) / (1.19) + $4.50 (1.20)2/ (1.19)2 + $103.68 / (1.19)2 = $82.33Dividend yield = D1/P0 = $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 forthe first four years. We can find the price of the stock in Year 3 since the dividend growth rate is constant after the third dividend. The price of the stock in Year 3 will be the dividend in Year 4, divided by the required return minus the constant dividend growth rate. So, the price in Year 3 will be:P3 = $2.45(1.20)(1.15)(1.10)(1.05) / (.11 – .05) = $65.08The price of the stock today will be the PV of the first three dividends, plus the PV of the stock price in Year 3, so:P0 = $2.45(1.20)/(1.11) + $2.45(1.20)(1.15)/1.112 + $2.45(1.20)(1.15)(1.10)/1.113 + $65.08/1.113 P0 = $55.70CH9 3,4,6,9,153.Project A has cash flows of $19,000 in Year 1, so the cash flows are short by $21,000 ofrecapturing the initial investment, so the payback for Project A is:Payback = 1 + ($21,000 / $25,000) = 1.84 yearsProject B has cash flows of:Cash flows = $14,000 + 17,000 + 24,000 = $55,000during 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 yearsUsing 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 valuetoday of the project cash flows for the first four years is:Value today of Year 1 cash flow = $4,200/1.14 = $3,684.21Value today of Year 2 cash flow = $5,300/1.142 = $4,078.18Value today of Year 3 cash flow = $6,100/1.143 = $4,117.33Value today of Year 4 cash flow = $7,400/1.144 = $4,381.39To find the 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 yearsFor 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 yearsNotice the calculation of discounted payback. We know the payback period is between two and three years, so we subtract the discounted values of the Year 1 and Year 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 Year 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 years6.Our definition of AAR is the average net income divided by the average book value. The averagenet income for this project is:Average net income = ($1,938,200 + 2,201,600 + 1,876,000 + 1,329,500) / 4 = $1,836,325And the average book value is:Average book value = ($15,000,000 + 0) / 2 = $7,500,000So, the AAR for this project is:AAR = Average net income / Average 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 cashinflows are an annuity, the equation for the NPV of this project at an 8 percent required return is: NPV = –$138,000 + $28,500(PVIFA8%, 9) = $40,036.31At 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(PVIFA20%, 9) = –$23,117.45At 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 cashoutflows. The equation for the profitability index at a required return of 10 percent is:PI = [$7,300/1.1 + $6,900/1.12 + $5,700/1.13] / $14,000 = 1.187The equation for the profitability index at a required return of 15 percent is:PI = [$7,300/1.15 + $6,900/1.152 + $5,700/1.153] / $14,000 = 1.094The equation for the profitability index at a required return of 22 percent is:PI = [$7,300/1.22 + $6,900/1.222 + $5,700/1.223] / $14,000 = 0.983We 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 is less than one.CH10 9,13,14,17,18ing the tax shield approach to calculating OCF (Remember the approach is irrelevant; the finalanswer will be the same no matter which of the four methods you use.), we get:OCF = (Sales – Costs)(1 – t C) + t C DepreciationOCF = ($2,650,000 – 840,000)(1 – 0.35) + 0.35($3,900,000/3)OCF = $1,631,50013.First we will calculate the annual depreciation of the new equipment. It will be:Annual depreciation = $560,000/5Annual depreciation = $112,000Now, 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 = $85,000(1 – 0.34)Aftertax salvage value = $56,100Using the tax shield approach, we find the OCF for the project is:OCF = $165,000(1 – 0.34) + 0.34($112,000)OCF = $146,980Now we can find the project NPV. Notice 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 = –$560,000 – 29,000 + $146,980(PVIFA10%,5) + [($56,100 + 29,000) / 1.105]NPV = $21,010.2414.First we will calculate the annual depreciation of the new equipment. It will be:Annual depreciation charge = $720,000/5Annual depreciation charge = $144,000The aftertax salvage value of the equipment is:Aftertax salvage value = $75,000(1 – 0.35)Aftertax salvage value = $48,750Using the tax shield approach, the OCF is:OCF = $260,000(1 – 0.35) + 0.35($144,000)OCF = $219,400Now 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 the project, 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 = –$720,000 + 110,000 + $219,400(PVIFA IRR%,5) + [($48,750 – 110,000) / (1+IRR)5]IRR = 21.65%17.We will need the aftertax salvage value of the equipment to compute the EAC. Even though theequipment for each product has a different initial cost, both have the same salvage value. The aftertax salvage value for both is:Both cases: aftertax salvage value = $40,000(1 – 0.35) = $26,000To calculate the EAC, we first need the OCF and NPV of each option. The OCF and NPV for Techron I is:OCF = –$67,000(1 – 0.35) + 0.35($290,000/3) = –9,716.67NPV = –$290,000 – $9,716.67(PVIFA10%,3) + ($26,000/1.103) = –$294,629.73EAC = –$294,629.73 / (PVIFA10%,3) = –$118,474.97And the OCF and NPV for Techron II is:OCF = –$35,000(1 – 0.35) + 0.35($510,000/5) = $12,950NPV = –$510,000 + $12,950(PVIFA10%,5) + ($26,000/1.105) = –$444,765.36EAC = –$444,765.36 / (PVIFA10%,5) = –$117,327.98The 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.18.To find the bid price, we need to calculate all other cash flows for the project, and then solve forthe bid price. The aftertax salvage value of the equipment is:Aftertax salvage value = $70,000(1 – 0.35) = $45,500Now we can solve for the necessary OCF that will give the project a zero NPV. The equation for the NPV of the project is:NPV = 0 = –$940,000 – 75,000 + OCF(PVIFA12%,5) + [($75,000 + 45,500) / 1.125]Solving for the OCF, we find the OCF that makes the project NPV equal to zero is:OCF = $946,625.06 / PVIFA12%,5 = $262,603.01The easiest way to calculate the bid price is the tax shield approach, so:OCF = $262,603.01 = [(P – v)Q – FC ](1 – t c) + t c D$262,603.01 = [(P – $9.25)(185,000) – $305,000 ](1 – 0.35) + 0.35($940,000/5)P = $12.54CH14 6、9、20、23、246. The pretax cost of debt is the YTM of the company’s bonds, so:P0 = $1,070 = $35(PVIFA R%,30) + $1,000(PVIF R%,30)R = 3.137%YTM = 2 × 3.137% = 6.27%And the aftertax cost of debt is:R D = .0627(1 – .35) = .0408 or 4.08%9. ing the equation to calculate the WACC, we find:WACC = .60(.14) + .05(.06) + .35(.08)(1 – .35) = .1052 or 10.52%b.Since interest is tax deductible and dividends are not, we must look at the after-tax cost ofdebt, which is:.08(1 – .35) = .0520 or 5.20%Hence, on an after-tax basis, debt is cheaper than the preferred stock.ing the debt-equity ratio to calculate the WACC, we find:WACC = (.90/1.90)(.048) + (1/1.90)(.13) = .0912 or 9.12%Since the project is riskier than the company, we need to adjust the project discount rate for the additional risk. Using the subjective risk factor given, we find:Project discount rate = 9.12% + 2.00% = 11.12%We would accept the project if the NPV is positive. The NPV is the PV of the cash outflows plus the PV of the cash inflows. Since we have the costs, we just need to find the PV of inflows. The cash inflows are a growing perpetuity. If you remember, the equation for the PV of a growing perpetuity is the same as the dividend growth equation, so:PV of future CF = $2,700,000/(.1112 – .04) = $37,943,787The project should only be undertaken if its cost is less than $37,943,787 since costs less than this amount will result in a positive NPV.23. ing the dividend discount model, the cost of equity is:R E = [(0.80)(1.05)/$61] + .05R E = .0638 or 6.38%ing the CAPM, the cost of equity is:R E = .055 + 1.50(.1200 – .0550)R E = .1525 or 15.25%c.When using the dividend growth model or the CAPM, you must remember that both areestimates for the cost of equity. Additionally, and perhaps more importantly, each methodof estimating the cost of equity depends upon different assumptions.Challenge24.We can use the debt-equity ratio to calculate the weights of equity and debt. The debt of thecompany has a weight for long-term debt and a weight for accounts payable. We can use the weight given for accounts payable to calculate the weight of accounts payable and the weight of long-term debt. The weight of each will be:Accounts payable weight = .20/1.20 = .17Long-term debt weight = 1/1.20 = .83Since the accounts payable has the same cost as the overall WACC, we can write the equation for the WACC as:WACC = (1/1.7)(.14) + (0.7/1.7)[(.20/1.2)WACC + (1/1.2)(.08)(1 – .35)]Solving for WACC, we find:WACC = .0824 + .4118[(.20/1.2)WACC + .0433]WACC = .0824 + (.0686)WACC + .0178(.9314)WACC = .1002WACC = .1076 or 10.76%We will use basically the same equation to calculate the weighted average flotation cost, except we will use the flotation cost for each form of financing. Doing so, we get:Flotation costs = (1/1.7)(.08) + (0.7/1.7)[(.20/1.2)(0) + (1/1.2)(.04)] = .0608 or 6.08%The total amount we need to raise to fund the new equipment will be:Amount raised cost = $45,000,000/(1 – .0608)Amount raised = $47,912,317Since the cash flows go to perpetuity, we can calculate the present value using the equation for the PV of a perpetuity. The NPV is:NPV = –$47,912,317 + ($6,200,000/.1076)NPV = $9,719,777CH16 1,4,12,14,171. a. A table outlining the income statement for the three possible states of the economy isshown below. The EPS is the net income divided by the 5,000 shares outstanding. The lastrow shows the percentage change in EPS the company will experience in a recession or anexpansion economy.Recession Normal ExpansionEBIT $14,000 $28,000 $36,400Interest 0 0 0NI $14,000 $28,000 $36,400EPS $ 2.80 $ 5.60 $ 7.28%∆EPS –50 –––+30b.If the company undergoes the proposed recapitalization, it will repurchase:Share price = Equity / Shares outstandingShare price = $250,000/5,000Share price = $50Shares repurchased = Debt issued / Share priceShares repurchased =$90,000/$50Shares repurchased = 1,800The interest payment each year under all three scenarios will be:Interest payment = $90,000(.07) = $6,300The last row shows the percentage change in EPS the company will experience in arecession or an expansion economy under the proposed recapitalization.Recession Normal ExpansionEBIT $14,000 $28,000 $36,400Interest 6,300 6,300 6,300NI $7,700 $21,700 $30,100EPS $2.41 $ 6.78 $9.41%∆EPS –64.52 –––+38.714. a.Under Plan I, the unlevered company, net income is the same as EBIT with no corporate tax.The EPS under this capitalization will be:EPS = $350,000/160,000 sharesEPS = $2.19Under Plan II, the levered company, EBIT will be reduced by the interest payment. The interest payment is the amount of debt times the interest rate, so:NI = $500,000 – .08($2,800,000)NI = $126,000And the EPS will be:EPS = $126,000/80,000 sharesEPS = $1.58Plan I has the higher EPS when EBIT is $350,000.b.Under Plan I, the net income is $500,000 and the EPS is:EPS = $500,000/160,000 sharesEPS = $3.13Under Plan II, the net income is:NI = $500,000 – .08($2,800,000)NI = $276,000And the EPS is:EPS = $276,000/80,000 sharesEPS = $3.45Plan II has the higher EPS when EBIT is $500,000.c.To find the breakeven EBIT for two different capital structures, we simply set the equationsfor EPS equal to each other and solve for EBIT. The breakeven EBIT is:EBIT/160,000 = [EBIT – .08($2,800,000)]/80,000EBIT = $448,00012. a.With the information provided, we can use the equation for calculating WACC to find thecost of equity. The equation for WACC is:WACC = (E/V)R E + (D/V)R D(1 – t C)The company has a debt-equity ratio of 1.5, which implies the weight of debt is 1.5/2.5, and the weight of equity is 1/2.5, soWACC = .10 = (1/2.5)R E + (1.5/2.5)(.07)(1 – .35)R E = .1818 or 18.18%b.To find the unlevered cost of equity we need to use M&M Proposition II with taxes, so:R E = R U + (R U– R D)(D/E)(1 – t C).1818 = R U + (R U– .07)(1.5)(1 – .35)R U = .1266 or 12.66%c.To find the cost of equity under different capital structures, we can again use M&MProposition II with taxes. With a debt-equity ratio of 2, the cost of equity is:R E = R U + (R U– R D)(D/E)(1 – t C)R E = .1266 + (.1266 – .07)(2)(1 – .35)R E = .2001 or 20.01%With a debt-equity ratio of 1.0, the cost of equity is:R E = .1266 + (.1266 – .07)(1)(1 – .35)R E = .1634 or 16.34%And with a debt-equity ratio of 0, the cost of equity is:R E = .1266 + (.1266 – .07)(0)(1 – .35)R E = R U = .1266 or 12.66%14. a.The value of the unlevered firm is:V U = EBIT(1 – t C)/R UV U = $92,000(1 – .35)/.15V U = $398,666.67b.The value of the levered firm is:V U = V U + t C DV U = $398,666.67 + .35($60,000)V U = $419,666.6717.With no debt, we are finding the value of an unlevered firm, so:V U = EBIT(1 – t C)/R UV U = $14,000(1 – .35)/.16V U = $56,875With debt, we simply need to use the equation for the value of a levered firm. With 50 percent debt, one-half of the firm value is debt, so the value of the levered firm is:V L = V U + t C(D/V)V UV L = $56,875 + .35(.50)($56,875)V L = $66,828.13And with 100 percent debt, the value of the firm is:V L = V U + t C(D/V)V UV L = $56,875 + .35(1.0)($56,875)V L = $76,781.25c.The net cash flows is the present value of the average daily collections times the daily interest rate, minus the transaction cost per day, so:Net cash flow per day = $1,276,275(.0002) – $0.50(385)Net cash flow per day = $62.76The net cash flow per check is the net cash flow per day divided by the number of checksreceived per day, or:Net cash flow per check = $62.76/385Net cash flow per check = $0.16Alternatively, we could find the net cash flow per check as the number of days the system reduces collection time times the average check amount times the daily interest rate, minusthe transaction cost per check. Doing so, we confirm our previous answer as:Net cash flow per check = 3($1,105)(.0002) – $0.50Net cash flow per check = $0.16 per checkThis makes the total costs:Total costs = $18,900,000 + 56,320,000 = $75,220,000The flotation costs as a percentage of the amount raised is the total cost divided by the amount raised, so:Flotation cost percentage = $75,220,000/$180,780,000 = .4161 or 41.61%8.The number of rights needed per new share is:Number of rights needed = 120,000 old shares/25,000 new shares = 4.8 rights per new share.Using P RO as the rights-on price, and P S as the subscription price, we can express the price per share of the stock ex-rights as:P X = [NP RO + P S]/(N + 1)a.P X = [4.8($94) + $94]/(4.80 + 1) = $94.00; No change.b. P X = [4.8($94) + $90]/(4.80 + 1) = $93.31; Price drops by $0.69 per share.。
罗斯《公司理财》重点知识整理
第一章导论1. 公司目标:为所有者创造价值公司价值在于其产生现金流能力。
2. 财务管理的目标:最大化现有股票的每股现值。
3. 公司理财可以看做对一下几个问题进行研究:1. 资本预算:公司应该投资什么样的长期资产。
2. 资本结构:公司如何筹集所需要的资金。
3. 净运营资本管理:如何管理短期经营活动产生的现金流。
4. 公司制度的优点:有限责任,易于转让所有权,永续经营。
缺点:公司税对股东的双重课税。
第二章会计报表与现金流量资产= 负债+ 所有者权益(非现金项目有折旧、递延税款)EBIT(经营性净利润)= 净销售额- 产品成本- 折旧EBITDA = EBIT + 折旧及摊销现金流量总额CF(A) = 经营性现金流量- 资本性支出- 净运营资本增加额= CF(B) + CF(S)经营性现金流量OCF = 息税前利润+ 折旧- 税资本性输出= 固定资产增加额+ 折旧净运营资本= 流动资产- 流动负债第三章财务报表分析与财务模型1. 短期偿债能力指标(流动性指标)流动比率= 流动资产/流动负债(一般情况大于一)速动比率= (流动资产- 存货)/流动负债(酸性实验比率)现金比率= 现金/流动负债流动性比率是短期债权人关心的,越高越好;但对公司而言,高流动性比率意味着流动性好,或者现金等短期资产运用效率低下。
对于一家拥有强大借款能力的公司,看似较低的流动性比率可能并非坏的信号2. 长期偿债能力指标(财务杠杆指标)负债比率= (总资产- 总权益)/总资产or (长期负债+ 流动负债)/总资产权益乘数= 总资产/总权益= 1 + 负债权益比利息倍数= EBIT/利息现金对利息的保障倍数(Cash coverage radio) = EBITDA/利息3. 资产管理或资金周转指标存货周转率= 产品销售成本/存货存货周转天数= 365天/存货周转率应收账款周转率= (赊)销售额/应收账款总资产周转率= 销售额/总资产= 1/资本密集度4. 盈利性指标销售利润率= 净利润/销售额资产收益率ROA = 净利润/总资产权益收益率ROE = 净利润/总权益5. 市场价值度量指标市盈率= 每股价格/每股收益EPS 其中EPS = 净利润/发行股票数市值面值比= 每股市场价值/每股账面价值企业价值EV = 公司市值+ 有息负债市值- 现金EV乘数= EV/EBITDA6. 杜邦恒等式ROE = 销售利润率(经营效率)x总资产周转率(资产运用效率)x权益乘数(财杠)ROA = 销售利润率x总资产周转率7. 销售百分比法假设项目随销售额变动而成比例变动,目的在于提出一个生成预测财务报表的快速实用方法。
公司理财(罗斯)第15章(英文
Multinational company capital budget
01
Foreign Project Evaluation
02
Capital Budgeting Decision
Capital Structure Decision
03
04
Divided Policy Decision
Foreign exchange risk management
Corporate Finance (Ross) Chapter 15
目录
• Introduction • Capital Structure and Cost of Capital • Financial stress and financial crisis • Finance of multinational
Bankruptcy or reception
In extreme cases, bankruptcy or reception may be necessary to resolve financial conflicts
Hale Waihona Puke Finance of04 multinational corporations
Master the analysis methods and influencing factors of capital structure decision-making.
Understand the impact of capital structure adjustment on enterprise value and financial condition.
Capital Structure of Multinational Corporations
案例练习-角色扮演-2cases
案例一私营企业主家庭理财(理财经理)背景资料黄先生为本行个人客户,刚刚分配到您的维护客户名单上,你从系统得知下列资讯:黄先生今年47岁,为一家私营有限公司董事长兼总经理,公司成立5年,育有一女小瑞(12岁),一子小祥(今年9岁),太太李女士(约29岁)为全职家庭主妇。
黄先生本行存款金额300万元,有一自住房产价值500万元,无贷款。
客户风险属性为稳健型。
理财经理的任务:1.利用访谈与对话,取得客户的资讯2.了解与确认客户的理财目标3.告诉客户我们银行有何不一样,让客户产生兴趣4.将你们讨论准备问的问题整理出来,并将从客户那边得到的结果或重点条列出来案例一私营企业主家庭理财(客户)1、家庭成员背景资料黄先生今年47岁,为一家私营有限公司董事长(股权100%)兼总经理,公司成立5年,从事工程机械的代理经销,纯内销企业。
黄先生与前妻生有一女小瑞,今年12岁,和现任配偶李女士(29岁)育有一子,今年9岁。
2、家庭收支资料(收入均为税前)黄先生税前月薪资收入100,000元,年终奖金100万元,去年银行定存利息收入60,000元,公司税后净利800万元,过去5年未配股息,全数再投资扩大经营规模,预计未来营收成长趋缓。
妻子为全职家庭主妇。
每年家庭生活开支约80万元。
黄先生5年前开始参加各项社保,另年缴储蓄型保费24万元,刚缴一年,还要缴4年,满期领回 140万元。
3、家庭资产负债资料黄先生银行存款金额300万元,目前公司资本额5,000万元,自住房产价值500万元,无贷款。
金融资产方面有股票型基金100万元,目前小赔约10%,黄金与钻石价值约50万元。
4、理财目标(均为现值)1)黄先生预期公司已过了高成长期,未来每年800万左右税前盈余将有半数发放股息,就黄先生可分配的税后红利,需要一个投资计划安排。
2)想尽早换购总价1000万元的别墅,尽量少用贷款。
3)子女打算从初中开始就读国际学校,打算女儿到英国念硕士,预计2年,儿子到美国念硕士与博士, 预计7年,各需要多少费用与如何筹措也需要你提供意见。
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Case 1- Chapter 3 Harry PattersonWith a £9000 lottery win, Harbry Patterson and his wife decide to open a health food shop on 1st January 2xxl. He proposes to set up a company and will invest the £9000 in exchange for 1000 £1 ordinary shares each to him and his wife. He has arranged to rent the premises for £1800 pa which is payable quarterly in advance. During January he intends to buy for cash £9000 worth of fittings and equipment and a van for £3600 which he will not pay for until February.His sales and purchases estimates for the first three months of 2xxl are:Jan Feb MarSales (£) 2700 3600 4500Purchases 3000 2400 2700He anticipates that 10% of his sales will be on credit and that they will be paid for in the month following the sale. All purchases will be paid for one month after purchase. Expenses of the business are estimated to be :Wages £600 per month (payable immediately)General £300 per month (half payable immediately and half payable the next month) Depreciation £360 pa on fittings and equipment£720 pa on the vanGoods are sold at a price representing a 50% mark-up on cost price.PREPARE1. A cash budget for each of the three months Jan-Mar.2. A Profit and loss account for the period3. A Balance Sheet at the end of the periodComment briefly upon the profitability and liquidity of the business as it is forecast.Case 2—Chapter 5 Tongda通达公司是沈阳市的一家民营企业,成立初期,由于业务较为简单,暂由金华会计师事务所代账。
现在,企业规模逐渐扩大,正式雇佣一名刚刚大专毕业的王平担任公司会计。
王平未经过正式实习,经验不足,对企业业务总是计算不清,于是向我们求助。
(1)2002年1月1日,通达公司拟向沈阳信托投资公司融资租赁一台万能机床,双方在租赁协议中明确:租期截止到2007年12月31日,年租金5600元,于每年末支付一次,沈阳信托投资公司要求的利息及手续费率通常为5%。
红星机床厂得知此事后,主动与通达公司联系,愿意以28000元钱将一台同样机床出售给通达公司,王平陷入选择的矛盾之中。
(2)公司拟在2002年8月在东北大学设立一笔“助成奖学基金”,奖励计划为:从2003年8月起每年特等奖1人,金额为1万元;一等奖2人,每人金额5000元;二等奖3人,每人金额3000元;三等奖4人,每人金额1000元。
目前银行存款年利率为4%,并预测短期内不会发生变动,王平不知应一次向银行存入多少钱。
另外,王平月收入约3000元,每月生活支出约1500元,王平准备买房,父母可以帮他支付首期,他以后只需每月分期偿还银行贷款。
他想知道可承受得起大约多少钱的房子。
Tongda is a private enterprise in Shenyang. In its early days, it outsourced its accounting to Jinhua. Now, Tongda has gradually expanded its scale and hired a college graduate Wang Ping as its accountant. Wang Ping has not been formally trained as an accountant and lacks of experience. He asks us for help regarding the following:(1) On January 1, 2002, Tongda intends to lease a universal machine from Shenyang Trust and Investment Corporation. The lease agreement states an annual payment of RMB 5,600 made at the end of each year till December 31, 2007. Usually, Shenyang Trust and Investment Corporation charges an all-in-one rate of 5% for such arrangements. But when Red Star Machine Tool Works learns this, it proposes to sell the same machine at RMB 28,000 . Wang Ping doesn’t know which option is better.(2) Tongda intends to set up a Scholarship Fund at Northeastern University on August 2002 . Starting from August 2003, every year the fund will award RMB10,000 to 1 special prize winner, RMB 5,000 each to 2 first prize winners , RMVB3,000 each to 3 second prize winners, and RMB 1,000 each to 4 third prize winners. The current annual interest rate of bank deposits is 4% , and Tongda predicts no change in the interest rates in short term. Wang Ping does not know how much to deposit with the bank.In addition, Wang Ping has a monthly income of about 3,000 yuan, and his living expenses are about 1,500 yuan a month. Wang Ping plans to buy a flat. His parents offer to pay the down payment for him, so he will only need to repay bank loan in monthly installments. He wants to know he can afford a flat of about how much money.Case 3-Chapter 8-- GZ 07’ P&G Finance & Accounting, ―CFO Challenge‖ CompetitionI. Part I -- Case StudyBackground:US.Co China (an American multinational) is considering entering a new category in China that it did not play in the past. You are the Financial Analyst of the company and you are assigned to do a financial assessment for the entry decision. The minimum success criteria for any of the new product launch of the company are that a) new product gross margin in launch year should be +5% higher vs. market average; b) project Net Present Value (NPV-净现值) should be larger than $10 Million (over 5 YR project lif e). With the given information, you are required to answer the below 3 questions.Questions:⏹Cost is identified as one of the key considerations for the decision. Meanwhile, the decision of “mak e” vs. “buy”for bottle (package) has the biggest impact on cost. Can you assess the two options and come up with yourrecommendation (for 5 YR project life), ie. Which option is better? (Hint: the lead option becomes your basis for the financial assessment and assume we stick to the decision for 5 years)⏹What is your final recommendation for this new market entry based on below suggested considerations and thesuccess criteria? (<500 words)⏹If you are the General Manager, what are the top 3 priorities you will focus in the coming 5 years after welaunched the product? (<200 words)Key Areas of Consideration:⏹CostThe key component of the cost is package (bottle) and the operation cost (ie. total product cost=material +operation). We have two options (in-house making vs. buying from supplier) as followed: (Capital investment⏹Communication (TV Commercial)Marketing colleague is considering two spending model: a) Sustain model, Y1 $400 Thousand; b) Heavy Up model, Y1 double sustain model spending. This generates +1% volume share on top of target share year on year.(Assume same TVC spending % of revenue across years).⏹Others Assumptions•Other Operating Expense (people cost etc): 10% of revenue;•Cash-flow: For simplicity, only consider capital investment depreciation add-back (5 YR asset life), do not count any working capital impact;•Income Tax: 15%•Discount rate: 8% (Country Cost of Capital)Case 4—Chapter 9 Allied Food Products Case StudyAfter seeing Snapple’s success with noncola soft drinks and learning of Coke’s and Pepsi’s interest, Allied Food Products has decided to consider an expansion of its own in the fruit juice business. The product being considered is fresh lemon juice. Assume that you were recently hired as assistant to the Director of Capital Budgeting, and you must evaluate the new project.The lemon juice would be produced in an unused building adjacent to Allied’s Fort Myers plant; Allied owns the building, which is fully depreciated. The required equipment would cost $200,000, plus an additional $40,000 for shipping and installation. In addition, inventories would rise by $25,000, while accounts payable would go up by $5,000. All of these costs would be incurred at t = 0. By a special ruling, the machinery could be depreciated under the MACRS system as 3-year property. The applicable depreciation rates are 33 percent, 45 percent, 15 percent, and 7 percent.The project is expected to operate for 4 years, at which time it will be terminated. The cash inflows are assumed to begin 1 year after the project is undertaken, or at t = 1, and to continue out to t = 4. At the end of the project’s life (t = 4), the equipment is expected to have a salvage value of $25,000.Unit sales are expected to total 100,000 cans per year, and the expected sales price is $2.00 per can. Cash operating costs for the project (total operating costs less depreciation) are expected to total 60 percent of dollar sales. Allied’s tax rate is 40 percent, and its weighted average cost of capital is 10 percent. Tentatively, the lemon juice project is assumed to be of e qual risk to Allied’s other assets.You have been asked to evaluate the project and to make a recommendation as to whether it should be accepted or rejected. To guide you in your analysis, your boss gave you the following set of questions.1.Assume there was no alternative use for the building over the next 4 years. Nowcalculate the project’s NPV, IRR, MIRR, and regular payback. Do these indicators suggest that the project should be accepted?2.Discuss how one would perform a sensitivity analysis on the unit sales, salvage value, andcost of capital for the project. Assume that each of these variables deviates from its base-case, or expected, value by plus and minus 10, 20, and 30 percent. Explain how you would calculate the NPV, IRR, MIRR, and payback for each case.Assume that you are confident about the estimates of all the variables that affect the cash flows except unit sales. If product acceptance is poor, sales would be only 75,000 units a year, while a strong consumer response would produce sales of 125,000 units. In either case, cash costs would still amount to 60 percent of revenues. You believe that there is a 25 percent chance of poor acceptance, a 25 percent chance of excellent acceptance, and a 50 percent chance of average acceptance (the base case). Use the worst-, most likely (or base), andbest-case NPVs, with their probabilities of occurrence, to find the project's expected NPV, standard deviation, and coefficient of variation.Case 5 – Chapter 10- Leverage1. Operating Leverage ExampleQuestions :1. Calculate the total fixed costs, variable costs per unit and sales price2. At what sales level, in units, do both firms earn the same operating profit?3. Which firm has the higher business risk? Why?2.Financial Leverage Example--Campus DeliAssume that you have just been hired as business manager of Campus Deli (CD), which is located adjacent to the campus. Sales were $1,100,000 last year; variable costs were 60 percent of sales; and fixed costs were $40,000. Therefore, EBIT totaled $400,000. Because the university's enrollment is capped, EBIT is expected to be constant over time. Since no expansion capital is required, CD pays out all earnings as dividends. Assets are $2 million, and 80,000 shares are outstanding. The management group owns about 50 percent of the stock, which is traded in the over-the-counter market.CD currently has no debt - it is an all-equity firm - and its 80,000 shares outstanding sell at a price of $25 per share, which is also the book value. The firm's federal-plus-state tax rate is 40 percent. On the basis of statements made in your finance text, you believe that CD's shareholders would be better off if some debt financing were used. When you suggested this toyour new boss, she encouraged you to pursue the idea, but to provide support for the suggestion.In today's market, the risk-free rate, k rf , is 6 percent and the market risk premium, k M - k RF , is 6 percent. CD's unlevered beta, βu , is 1.0. Since CD currently has no debt, its cost of equity (and WACC) is 12 percent.If the firm were recapitalized, debt would be issued, and the borrowed funds would be used to repurchase stock. Stockholders, in turn, would use funds provided by the repurchase to buy equities in other fast-food companies similar to CD. You plan to complete your report by asking and then answering the following questions.Questions:1. To develop an example which can be presented to CD’s management as an illustration, consider two hypothetical firms, Firm U, with zero debt financing, and Firm L, with $10,000 of 12 percent debt. Both firms have $20,000 in total assets and a 40 percent federal-plus-state tax rate, and they have the following EBIT probability distribution for next year:Probability EBIT0.25 $2,0000.50 $3,0000.25 $4,000(1)Complete the partial income statements and the firms' ratios(2)Be prepared to discuss each entry in the table and to explain how this example illustrates theimpact of financial leverage on expected rate of return and risk.FIRM U FIRM LASSETS $20,000 $20,000 $20,000 $20,000 $20,000 $20,000 EQUITY $20,000 $20,000 $20,000 $10,000 $10,000 $10,000 PROBABILITY 0.25 0.50 0.25 0.25 0.50 0.25 SALES $6,000 $9,000 $12,000 $6,000 $9,000 $12,000 OPER. COSTS 4,000 6,000 8,000 4,000 6,000 8,000 EBIT $2,000 $3,000 $4,000 $2,000 $3,000 $4,000 INTERESTEXPENSE 0 0 0 1,200 1,200 EBT $2,000 $3,000 $4,000 $800 $2,800 TAXES (40%) 800 1,200 1,600 320 1,120 NET INCOME $1,200 $1,800 $2,400 $480 $1,680 BEP 10.0% 15.0% 20.0% 10.0% 20.0% ROE 6.0% 9.0% 12.0% 4.8% 16.8% TIE ∞ ∞ ∞ 1.7 3.3E(BEP) 15.0%E(ROE) 9.0% 10.8%E(TIE) ∞ 2.5SD(BEP) 3.5% 3.5%SD(ROE) 2.1% 4.2%SD(TIE) ∞ 0.62.After speaking with a local investment banker, you obtain the following estimates of the cost of debt at different debt levels :Amount D / A D / E Bond Before-TaxBorrowed Ratio Ratio Rating k d$0 0.0000 0.0000 -- --$250,000 0.1250 0.1429 AA 8.0%$500,000 0.2500 0.3333 AA 9.0%$750,000 0.3750 0.6000 BBB 11.5%$1,000,000 0.5000 1.0000 BB 14.0%Now consider the optimal capital structure for CD.Case 6 –chapter 13 Coleman TechnologiesColeman Technologies is considering a major expansion program that has been proposed by the company’s information technology group. Before proceeding with the expansion, the company needs to develop an estimate of its cost of capital. Assume that you are an assistant to Jerry Lehman, the financial vice-president. Your first task is to estimate Coleman’s cost of capital. Lehman has provided you with the following data, which he believes may be relevant to your task:(1) The firm’s tax rate is 40 per cent.(2) The current price of Coleman’s 12 percent coupon, semiannual payment, noncallable bonds with 15 years remaining to maturity is $1,153.72. Coleman does not use short-term interest-bearing debt on a permanent basis. New bonds would be privately placed with no flotation cost.(3) The current price of the firm’s 10 percent, $100 par value, quarterly dividend, perpetualpreferred stock is $111.10.(4) Coleman’s common stock is currently selling at $50 per share. Its last dividend (D0) was $4.19, and dividends are expected to grow at a constant rate of 5 percent in the foreseeable future. Coleman’s beta is 1.2, the yield on T-bonds is 7 percent, and the market risk premium is estimated to be 6 percent. For the bond-yield-plus-risk-premium approach, the firm uses a 4 percentage point risk premium.(5) Coleman’s target capital structure is 30 percent long-term debt, 10 percent preferred stock, and 60 percent common equity.To structure the task somewhat, Lehman has asked you to answer the following questions.1.What is Coleman’s overall, or weighted average, cost of capital (WACC)? Ignore flotationcosts.2.What factors influence Coleman's composite WACC?3.Should the company use the composite WACC as the hurdle rate for each of its projects?4.Coleman is interested in establishing a new division, which will focus primarily on developingnew Internet-based projects. In trying to determine the cost of capital for this new division, you discover that stand-alone firms involved in similar projects have on average the followingcharacteristics:(1) Their capital structure is 40 percent debt and 60 percent common equity.(2) Their cost of debt is typically 12 percent.(3) The beta is 1.7.Given this information, what would your estimate be for the division’s cost of capital? Note that Coleman uses the CAPM to calculate the division's cost of capital.。