罗斯公司理财答案第六版(英文)
罗斯《公司理财》英文习题答案DOCchap028

公司理财习题答案第二十八章Chapter 28: Cash Management28.1 Firms need to hold cash to:a. Satisfy the transaction needs. For example, cash is collected from sales and newfinancing and disbursed as wages, salaries, trade debts, taxes and dividends.b. Maintain compensating balances. A minimum required compensating balance atbanks providing credit service to the firm may impose a lower limit on the level ofcash a firm holds.28.2 a. Decrease. Examine the Baumol model. As the interest rate (k) increases, the optimalcash balance must also rise.b. Increase. Examine the Baumol model. As brokerage costs (F, the per transactioncosts) rise, the optimal balance increases.c. Decrease. Clearly, if the bank lowers its compensating balance requirement, a firmwill not be required to hold as much of its assets as cash.d. Decrease. If the cost of borrowing falls, a firm need not hold as much of its assets ascash because the cost of running short, i.e. the cost to borrow to fill cash needs, islower.e. Increase. As a firm’s credit rating falls, its cost to borrow increases. Thus, the firmcannot as easily afford to run short of cash and its cash balance must be higher.f. Decrease. Introduction of direct banking fees would increase the fixed costsassociated with holding cash. As fixed costs rise, the optimal balance must also rise.28.3 The average weekly cash balance is $20,750 [ ($24,000 + $34,000 + $10,000 +$15,000)/ 4].With monthly compounding, the return that the firm can earn on its average balance is$20,750 [[( 1 + 0.12/12)12 - 1] = $2,631.62Your answer may differ if you made different assumptions about the interest payments.28.4 a. The total amount of cash that will be disbursed during the year is:$345,000 * 12 = $4,140,000 Using the optimal cash balance formula,193,243$07.0)000,140,4)(500($2K 2FT*C ===$243,193 should be kept as cash. The balance, $556,807 (=$800,000-$243,193),should be invested in marketable securities.b. The number of times marketable securities will be sold during the next twelvemonths is $4,140,000 / $243,193 = 17 times28.5C*2FT K T KC *2F 7.5%(20mil)25,0007.5%200.01$3,000(mil)Average w eekly disbursement 3,00052$57.69mil222===⨯⨯=⨯===28.6 Use the Miller-Orr formula. The target cash balance = Z*3F 4K L 23=+σ The upper limit = H*=3Z*-2LThe daily opportunity cost = K= 1.0836510.000211-=Z*3($600)($1,440,00)4(0.000211)3$20,000$34,536H *$63,608=+== The average cash balance:C *4Z *L34($34,536)$20,0003$39,381=-=-=28.7 a.Z g*Hg 2L g 3200,0002100,0003$133,333Z s *Hs 2L s 3300,0002150,0003$200,000=+=+⨯==+=+⨯=b. Gold Star:()()s Z *L 4K /3F 133,333100,00040.00026132,0006,444,251K 1.1010.000261g 2g g3g g 3g 365=-=-⨯⨯⨯≈=-=Silver Star:()()s Z *L 4K /3F 200,000150,00040.00023632,000K 1.0910.000236g 2g g3g g 3g 365=-=-⨯⨯⨯≈=-=15733333,,So, Silver Star Co. has a more volatile daily cash flow.28.8 Garden Groves float = 150 ($15,000) = $2,250,000Increase in collected cash balance if a 3 day lockbox is installed = 3($2,250,000)= $6,750,000Annual earnings from this amount = $6,750,000 x 0.075 = $506,250The system should be installed if its cost is below this amount.Variable cost $ 0.5 x 150 x 365 = $27,375 Fixed cost = 80,000Total cost =$107,375The lockbox system should be installed. The net earnings from the use of the system are $398,875 (= $506,250 - $107,375)公司理财习题答案第二十八章28.9 To make the system profitable, the net earnings of installing the lockbox system must benon-negative. The lower limit for acceptability is zero profits.Let N be the number of customers per day.Earnings = ($4,500) (N) (2) (0.06) = $540 x NCosts:Variable cost: N (365) ($0.25) = $91.25 x NFixed cost: $15,000Equate Earnings to total costs:N = 33.43Salisbury Stakes needs at least 34 customers per day for the lockbox system to beprofitable.28.10 Disbursement float = $12,000 x 5 = $60,000Collection float = -$15,000 x 3 = -$45,000Net float = $60,000 - $45,000 = $15,000If funds are collected in four days rather than three, disbursement float will not change.Collection float will change to -$60,000. This change makes the net float equal to zero.28.11 a. Reduction in outstanding cash balances = $100,000 x 3 days = $300,000b. Return on savings = $300,000 (0.12) = $360,000c. Maximum monthly charge = $36,000 / 12 = $3,000Note: The calculation in part b assumes annual compounding. The answer in part cdoes not account for the time value of money. With monthly compounding of theinterest earned, the return on savings at the end of the year is$300,000 [(1.01)12 - 1] = $38,047.51The present value of this amount is $38,047.51 / (1.01) 12 = $33,765.23Compute the monthly payment as an annuity with a discount rate of 1% per periodfor twelve periods. That annuity factor is 11.2551. Thus, the payment is$33,765.23 = (Payment) (11.2551)Payment = $3,000Notice, as long as the treatment of the cash flows is the same, the payment is thesame.28.12 The cash savings are the earnings from the interest bearing account. Assuming dailycompounding, the three-day return to the delayed payment is($200,000)[(1.0004)3-1] = $240.096The interest rate for two weeks is 0.5615% (=(1.0004)14-1).Therefore, the present value of this annuity is($240.096)11(1.005615)260.005615$5,793.12 -=⎡⎣⎢⎢⎢⎢⎤⎦⎥⎥⎥⎥The Walter Company will save $5,793.12 per year.28.13 If the Miller Company divides the eastern region, collections will be accelerated by oneday freeing up $4 million per day. Compensating balances will be increased by $100,000 [=2($300,000)-$500,000]. The net effect is to have $3,900,000 to invest. If T-bills pay 7%per year, the annual net savings from the division of the eastern region is $3,900,000 x 0.07 = $273,000.28.14 Lockbox: interest saved = 7,500 x 250 x 1.5 x0.0003 = $843.75Annual saving (Annual charge) = 843.75 x 365 - 30,000 - 0.3 x 250 x 365= $250,593.75Annual saving (Concentration Banking) = 7,500 x 250 x1 x 0.0003 x 365= 562.5 x 365 = $205,312.5So the lockbox system is recommended.28.15 The important characteristics of short-term marketable securities are:i. maturityii. default riskiii. marketabilityiv. taxability。
罗斯《公司理财》英文习题答案DOCchap018

Chapter 18: Dividend Policy: Why Does It Matter?18.1 February 16: Declaration date - the board of directors declares a dividend payment thatwill be made on March 14.February 24: Ex-dividend date - the shares trade ex dividend on and after this date.Sellers before this date receive the dividend. Purchasers on or after thisdate do not receive the dividend.February 26: Record date - the declared dividends are distributable to shareholders of record on this date.March 14: Payable date - the checks are mailed.18.2Based on Miller and Modigliani reasoning, the stock will sell for $8.75. This is the same priceyoupurchased the stock. When the stock goes ex-dividend the stock is expected to fall $0.75 a share.18.3 a. If the dividend is declared, the price of the stock will drop on the ex-dividenddate by the value of the dividend, $5. It will then trade for $95.b. If it is not declared, the price will remain at $100.c. Mann’s outflows for investments are $2,000,000. These outflows occ urimmediately. One year from now, the firm will realize $1,000,000 in netincome and it will pay $500,000 in dividends. Since the only immediatefinancing need is for the investments, Mann must finance $2,000,000 throughthe sale of shares worth $100. It must sell $2,000,000 / $100 = 20,000 shares.d. The MM model is not realistic since it does not account for taxes, brokeragefees, uncertainty over future cash flows, investors’ preferences, signaling effects,and agency costs.18.4 a. The ex-dividend date is Feb. 27, which is two business days before the record date.b. The stock price should drop by $1.25 on the ex-dividend date.18.5 Knowing that share price can be expressed as the present value of expected futuredividends does not make dividend policy relevant. Under the growing perpetuitymodel, if overall corporate cash flows are unchanged, then a change in dividend policy only changes the timing of the dividends. The PV of those dividends is the same. This is true because, given that future earnings are held constant, dividend policy simplyrepresents a transfer between current and future stockholders.In a more realistic context and assuming a finite holding period, the value of the shares should represent the future stock price as well as the dividends. Any cash flow not paid as a dividend will be reflected in the future stock price. As such the PV of the flowswill not change with shifts in dividend policy; dividend policy is still irrelevant.18.6 a. The price is the PV of the dividends,$2 .$17..$1511553751152+=b. The current value of your shares is ($15)(500) = $7,500. The annuity youreceive must solve$7,500X1.15X1.152 =+;You desire $4,613.3721 each year. You will receive $1,000 in dividends in the first year, so you must sell enough shares to generate $3,613.3721. The end-of-year price at which you will sell your shares is the PV of the liquidating dividend, $17.5375 / 1.15 = $15.25, so you must sell 236.942 shares. The173 / 6remaining shares will each earn the liquidating dividend. At the end of thesecond year, you will receive $4,613.38 [= (500 - 236.942) x $17.5375].(Rounding causes the discrepancies).18.7 a. The value is the PV of the cash flows.Value = $32,000 + $1,545,600 / 1.12 = $1,412,000b. The current price of $141.20 per share will fall by the value of the dividend to $138.c. i. According to MM, it cannot be true that the low dividend is depressing theprice. Since dividend policy is irrelevant, the level of the dividend shouldnot matter. Any funds not distributed as dividends add to the value of thefirm hence the stock price. These directors merely want to change the timingof the dividends (more now, less in the future). As the calculations belowindicate, the value of the firm is unchanged by their proposal. Therefore,share price will be unchanged.To pay the $4.25 dividend, new shares, which total $10,500 (-$42,500 -$32,000) in value, must be sold. Those shares must also earn 12% so thevalue of the old shareholders’ interest one year hence will fall $11,760(=10,500 x 1.12). Under this scenario, the current value of the firm is Value= $42,500 + $1,533,840 / 1.12 = $1,412,000ii. The new shareholders are not entitled to receive the current dividend. They will receive only the value of the equity one year hence. The PV of thoseflows is $1,533,840 / 1.12 = $1,369,500, so the share price will be $136.95and 76.67 shares will be sold.18.8 a. (1.2 + 15) / 1 = $16.2Expected share price is $16.2.b. He can invest the dividends into the Gibson stock.Dividends that he gets = $1.2 million x 50% x 1,000 / 1,000,000 = $600Expected share price after dividend = (0.6 + 15) / 1 =$15.6Number of shares that Jeff needs to buy = 600 / 15.6 = 3818.9 Alternative 1: Dividends are paid out to the shareholders now.2 (1-31%) (1+7% (1-31%))3 = $1.59 millionAlternative 2: NBM invests cash in the financial assets:i. T-bill2 (1+7% (1-35%))3 (1-31%) = $1.58 millionii. Preferred stock2 {1+11% [1-(1-30%) x 35%]3} (1-31%) = $1.75 millionThe after-tax cash flow for the shareholders is maximized when the firm invests thecash in the preferred stocks.18.10 You should not expect to find either low dividend, high growth stocks or tax-freemunicipal bonds in the University of Pennsylvania’s portfolio. Since the universitydoes not pay taxes on investment income, it will want to invest in securities, whichprovide the highest pre-tax return. Since tax-free municipal bonds generally providelower returns than taxable securities, there is no reason for the university to holdmunicipal bonds.The Litzenberger-Ramaswamy research (discussed in the section on empirical evidence) found that high dividend stocks pay higher pre-tax returns than risk comparable lowdividend stocks because of the taxes on dividend income. Since the University ofPennsylvania does not pay taxes, it would be wise to invest in high dividend stocksrather than low dividend stocks in the same risk class.18.11 a. If T C = T0 then (P e - P b) / D =1. The stock price will fall by the amount of thedividend.b. If T C = 0 and T0 0 then (P e - P b) / D =1 - T0. The stock price will fall by theafter-tax proceeds from the dividend.c. In a, there was no tax disadvantage to dividends. Thus, investors are indifferentbetween buying the stock at P b and receiving the dividend or waiting, buying thestock at P e and receiving a subsequent capital gain. When only the dividend istaxed, after-tax proceeds must be equated for investors to be indifferent. Sincethe after-tax proceeds from the dividend are D (1 - T0), the price will fall by thatamount.d. No, Elton and Gruber’s paper is not a prescription for dividend policy. In aworld with taxes, a firm should never issue stock to pay a dividend, but thepresence of taxes does not imply that firms should not pay dividends fromexcess cash. The prudent firm, when faced with other financial considerationsand legal constraints may choose to pay dividends.18.12 a. Let x be the ordinary income tax rate. The individual receives an after-taxdividend of $1,000(1-x) which she invests in Treasury bonds. The T-bond willgenerate after-tax cash flows to the investor of $1,000 (1 - x)[1+0.08(1-x)].If the firm invests the money, its proceeds are $1,000 [1 + 0.08 (1-0.35)]To be indifferent, the investor’s proceeds must be the same whether she investsthe after-tax dividend or receives the proceeds from the firm’s investment andpays taxes on that amount.1,000 (1 - x) [1 + 0.08 (1 - x)] = (1 - x) {1,000 [1 + 0.08 (1 - 0.35)]}x = 0.35Note: This argument does not depend upon the length of time the investment isheld.b.Yes, this is a reasonable answer. She is only indifferent if the after-tax proceedsfrom the $1,000 investment in identical securities are identical; that occurs onlywhen the tax rates are identical.c. Since both investors will receive the same pre-tax return, you would expect thesame answer as in part a. Yet, because Carlson enjoys a tax benefit frominvesting in stock, the tax rate on ordinary income, which induces indifference,is much lower.1,000 (1 - x) [1 + 0.12(1 - x)] = (1 - x) {1,000 [1 + 0.12 (1 – 0.3) (0.35)]}x = 24.5%d. It is a compelling argument, but there are legal constraints, which deter firmsfrom investing large sums in stock of other companies.18.13 The fallacy behind both groups’ arguments is that they are considering dividends theonly return on a stock. They ignored capital gains. If dividends are controlled, firmsare likely to decrease their dividends. When dividends are reduced, the companiesretain more income, which causes share price to increase. That increase in share price will add to the investors’ capital gains. Sin ce dividends and capital gains are both ways of compensating investors, if transaction costs are negligible and there are no taxes,investors will be indifferent between the two forms of compensation.175 / 618.14 a. The after-tax expected return on Grebe stock is 4 / 20 = 0.2. Since Deaton stockis in the same risk class, it will be priced to yield the same after-tax expectedreturn.0.2(20P)(1T g)4(0.75)P;T g0P$19.170=--+= =b. If T g = 25%, the after-tax expected return on Grebe stock is (4) (1-0.25) / 20 =0.15. Deaton’s price will be0.15(20P)(0.75)4(0.75)PP$200=-+ =c. In this MM world, when the tax rates are identical, there is no tax disadvantageto the dividend. Investors are indifferent between $1 in capital gains and $1 individends. Hence, Deaton’s price will also be $20.18.15 P (Payall) = [100 + 25 (1-25%)] / (1 + 25%) = $95P (Payless) = [100 + 25 (50%) + 25 (50%) (1 - 25%)] / (1 + 25%) = $97.5P (Paynone) = $10018.16 a. Dividend yield: 4.5 / 50.50 = 0.0891b. The pricing of bonds was discussed in an earlier chapter. Whenever a bond isselling at par, the yield to maturity is the coupon rate. So, the yield on theDuPont bonds is 11%.c. After-tax shield = (Pre-tax yield) (1 - T)Preferred stock Debti. GM’s pension fund; T=0 8.91% 11.00%ii. GM; T=.34 8.00% 7.26%iii Roger Smith; T = 0.28 6.42% 7.92% *GM is exempt from 70% of taxes on dividend income, therefore, its effectivetax rate is (0.3) (0.34) = 0.102.d. Corporations, which are exempt from 70% of taxes on dividend income, wouldhold the preferred stock.18.17 The bird-in-the-hand argument is based upon the erroneous assumption that increaseddividends make a firm less risky. If capital spending and investment spending areunchanged, the firm’s overall c ash flows are not affected by the dividend policy.18.18 This argument is theoretically correct. In the real world with transaction costs ofsecurity trading, home-made dividends can be more expensive than dividends directlypaid out by the firms. However, the existence of financial intermediaries such asmutual funds reduces the transaction costs for individuals greatly. Thus, as a whole,the desire for current income shouldn’t be a major factor favoring high-current-dividend policy.18.19 To minimize her tax burden, your aunt should divest herself of high dividend yieldstocks and invest in low dividend yield stock. Or, if possible, she should keep her highdividend stocks, borrow an equivalent amount of money and invest that money in a taxdeferred account.18.20 This is not evidence on investor preferences. A rise in stock price when the currentdividend is increased may reflect expectations that future earnings, cash flows, etc. will rise. The better performance of the 115 companies, which raised their payouts, mayalso reflect a signal by management through the dividends that the firms were expected to do well in the future.18.21 Virginia Power’s investors probably were not aware of the cash flow crunch. Thus, theprice drop was due to the negative information about the cost overruns. Even if they were suspicious that there were overruns, the announcement would still cause a drop in price because it removed all uncertainty about overruns and indicated their magnitude.18.22 As the firm has been paying out regular dividends for more than 10 years, the currentsevere cut in dividends can cause the shareholders to lower their expectations oncurrent and future cash flows of the firm. It then results in the drop in the stock price.18.23 a. Cap’s past behavior suggests a preference for capital gains while Widow Jonesexhibits a preference for current income.b. Cap could show the widow how to construct homemade dividends through thesale of stock. Of course, Cap will also have to convince her that she lives in anMM world. Remember that homemade dividends can only be constructed underthe MM assumptions.c.Widow Jones may still not invest in Neotech because of the transaction costsinvolved in constructing homemade dividends. Also the Widow may desire theuncertainty resolution which comes with high dividend stocks.18.24 The capital investment needs of small, growing companies are very high. Therefore,payment of dividends could curtail their investment opportunities. Their other option is to issue stock to pay the dividend thereby incurring issuance costs. In either case, the companies and thus their investors are better off with a zero dividend policy during the firms’ rapid growth phases. This fact makes these firms attract ive only to low dividend clienteles.This example demonstrates that dividend policy is relevant when there are issuancecosts. Indeed, it may be relevant whenever the assumptions behind the MM model are not met.18.25 Unless there is an unsatisfied high dividend clientele, a firm cannot improve its shareprice by switching policies. If the market is in equilibrium, the number of people who desire high dividend payout stocks should exactly equal the number of such stocksavailable. The supplies and demands of each clientele will be exactly met inequilibrium. If the market is not in equilibrium, the supply of high dividend payoutstocks may be less than the demand. Only in such a situation could a firm benefit froma policy shift.18.26 a. Div1 = Div0 + s (t EPS1 - Div0)= 1.25 + 0.3 (0.4 x 4.5 -1.25)= 1.415b. Div1 = Div0 + s (t EPS1 - Div0)= 1.25 + 0.6 (0.4 x 4.5 - 1.25)= 1.58Note: Part “a” is more conservative since the adjustment rate is lower.18.27 This finding implies that firms use initial dividends to “signal” their potentialgrowth and positive NPV prospects to the stock market. The initiation of177 / 6regular cash dividends also serves to convince the market that their high currentearnings are not temporary.[文档可能无法思考全面,请浏览后下载,另外祝您生活愉快,工作顺利,万事如意!]。
(公司理财)英文版罗斯公司理财习题答案C

CHAPTER 20INTERNATIONAL CORPORATE FINANCEAnswers to Concepts Review and Critical Thinking Questions1. a.The dollar is selling at a premium because it is more expensive in the forward market than inthe spot market (SFr 1.53 versus SFr 1.50).b.The franc is expected to depreciate relative to the dollar because it will take more francs to buyone dollar in the future than it does today.c.Inflation in Switzerland is higher than in the United States, as are nominal interest rates.2.The exchange rate will increase, as it will take progressively more pesos to purchase a dollar. This isthe relative PPP relationship.3. a.The Australian dollar is expected to weaken relative to the dollar, because it will take moreA$ in the future to buy one dollar than it does today.b.The inflation rate in Australia is higher.c.Nominal interest rates in Australia are higher; relative real rates in the two countries are thesame.4. A Yankee bond is most accurately described by d.5. No. For example, if a country’s currency strengthens, imports become cheaper (good), but its exportsbecome more expensive for others to buy (bad). The reverse is true for currency depreciation.6.Additional advantages include being closer to the final consumer and, thereby, saving ontransportation, significantly lower wages, and less exposure to exchange rate risk. Disadvantages include political risk and costs of supervising distant operations.7.One key thing to remember is that dividend payments are made in the home currency. Moregenerally, it may be that the owners of the multinational are primarily domestic and are ultimately concerned about their wealth denominated in their home currency because, unlike a multinational, they are not internationally diversified.8. a.False. If prices are rising faster in Great Britain, it will take more pounds to buy the sameamount of goods that one dollar can buy; the pound will depreciate relative to the dollar.b.False. The forward market would already reflect the projected deterioration of the euro relativeto the dollar. Only if you feel that there might be additional, unanticipated weakening of the euro that isn’t reflected in forward rates today, will the forward hedge protect you against additional declines.c.True. The market would only be correct on average, while you would be correct all the time.9. a.American exporters: their situation in general improves because a sale of the exported goods fora fixed number of euros will be worth more dollars.American importers: their situation in general worsens because the purchase of the imported goods for a fixed number of euros will cost more in dollars.b.American exporters: they would generally be better off if the British government’s intentionsresult in a strengthened pound.American importers: they would generally be worse off if the pound strengthens.c.American exporters: they would generally be much worse off, because an extreme case of fiscalexpansion like this one will make American goods prohibitively expensive to buy, or else Brazilian sales, if fixed in cruzeiros, would become worth an unacceptably low number of dollars.American importers: they would generally be much better off, because Brazilian goods will become much cheaper to purchase in dollars.10.IRP is the most likely to hold because it presents the easiest and least costly means to exploit anyarbitrage opportunities. Relative PPP is least likely to hold since it depends on the absence of market imperfections and frictions in order to hold strictly.11.It all depends on whether the forward market expects the same appreciation over the period andwhether the expectation is accurate. Assuming that the expectation is correct and that other traders do not have the same information, there will be value to hedging the currency exposure.12.One possible reason investment in the foreign subsidiary might be preferred is if this investmentprovides direct diversification that shareholders could not attain by investing on their own. Another reason could be if the political climate in the foreign country was more stable than in the home country. Increased political risk can also be a reason you might prefer the home subsidiary investment. Indonesia can serve as a great example of political risk. If it cannot be diversified away, investing in this type of foreign country will increase the systematic risk. As a result, it will raise the cost of the capital, and could actually decrease the NPV of the investment.13.Yes, the firm should undertake the foreign investment. If, after taking into consideration all risks, aproject in a foreign country has a positive NPV, the firm should undertake it. Note that in practice, the stated assumption (that the adjustment to the discount rate has taken into consideration all political and diversification issues) is a huge task. But once that has been addressed, the net present value principle holds for foreign operations, just as for domestic.14.If the foreign currency depreciates, the U.S. parent will experience an exchange rate loss when theforeign cash flow is remitted to the U.S. This problem could be overcome by selling forward contracts. Another way of overcoming this problem would be to borrow in the country where the project is located.15.False. If the financial markets are perfectly competitive, the difference between the Eurodollar rateand the U.S. rate will be due to differences in risk and government regulation. Therefore, speculating in those markets will not be beneficial.16.The difference between a Eurobond and a foreign bond is that the foreign bond is denominated in thecurrency of the country of origin of the issuing company. Eurobonds are more popular than foreign bonds because of registration differences. Eurobonds are unregistered securities.Solutions to Questions and ProblemsNOTE: All end-of-chapter problems were solved using a spreadsheet. Many problems require multiple steps. Due to space and readability constraints, when these intermediate steps are included in this solutions manual, rounding may appear to have occurred. However, the final answer for each problem is found without rounding during any step in the problem.Basicing the quotes from the table, we get:a.$50(€0.7870/$1) = €39.35b.$1.2706c.€5M($1.2706/€) = $6,353,240d.New Zealand dollare.Mexican pesof.(P11.0023/$1)($1.2186/€1) = P13.9801/€This is a cross rate.g.The most valuable is the Kuwait dinar. The least valuable is the Indonesian rupiah.2. a.You would prefer £100, since:(£100)($.5359/£1) = $53.59b.You would still prefer £100. Using the $/£ exchange rate and the SF/£ exchange rate to find theamount of Swiss francs £100 will buy, we get:(£100)($1.8660/£1)(SF .8233) = SF 226.6489ing the quotes in the book to find the SF/£ cross rate, we find:(SF 1.2146/$1)($0.5359/£1) = SF 2.2665/£1The £/SF exchange rate is the inverse of the SF/£ exchange rate, so:£1/SF .4412 = £0.4412/SF 13. a.F180= ¥104.93 (per $). The yen is selling at a premium because it is more expensive in theforward market than in the spot market ($0.0093659 versus $0.009530).b.F90 = $1.8587/£. The pound is selling at a discount because it is less expensive in the forwardmarket than in the spot market ($0.5380 versus $0.5359).c.The value of the dollar will fall relative to the yen, since it takes more dollars to buy one yen inthe future than it does today. The value of the dollar will rise relative to the pound, because it will take fewer dollars to buy one pound in the future than it does today.4. a.The U.S. dollar, since one Canadian dollar will buy:(Can$1)/(Can$1.26/$1) = $0.7937b.The cost in U.S. dollars is:(Can$2.19)/(Can$1.26/$1) = $1.74Among the reasons that absolute PPP doe sn’t hold are tariffs and other barriers to trade, transactions costs, taxes, and different tastes.c.The U.S. dollar is selling at a discount, because it is less expensive in the forward market thanin the spot market (Can$1.22 versus Can$1.26).d.The Canadian dollar is expected to appreciate in value relative to the dollar, because it takesfewer Canadian dollars to buy one U.S. dollar in the future than it does today.e.Interest rates in the United States are probably higher than they are in Canada.5. a.The cross rate in ¥/£ terms is:(¥115/$1)($1.70/£1) = ¥195.5/£1b.The yen is quoted too low relative to the pound. Take out a loan for $1 and buy ¥115. Use the¥115 to purchase pounds at the cross-rate, which will give you:¥115(£1/¥185) = £0.6216Use the pounds to buy back dollars and repay the loan. The cost to repay the loan will be:£0.6216($1.70/£1) = $1.0568You arbitrage profit is $0.0568 per dollar used.6.We can rearrange the interest rate parity condition to answer this question. The equation we will useis:R FC = (F T– S0)/S0 + R USUsing this relationship, we find:Great Britain: R FC = (£0.5394 – £0.5359)/£0.5359 + .038 = 4.45%Japan: R FC = (¥104.93 – ¥106.77)/¥106.77 + .038 = 2.08%Switzerland: R FC = (SFr 1.1980 – SFr 1.2146)/SFr 1.2146 + .038 = 2.43%7.If we invest in the U.S. for the next three months, we will have:$30M(1.0045)3 = $30,406,825.23If we invest in Great Britain, we must exchange the dollars today for pounds, and exchange the pounds for dollars in three months. After making these transactions, the dollar amount we would have in three months would be:($30M)(£0.56/$1)(1.0060)3/(£0.59/$1) = $28,990,200.05We should invest in U.S.ing the relative purchasing power parity equation:F t = S0 × [1 + (h FC– h US)]tWe find:Z3.92 = Z3.84[1 + (h FC– h US)]3h FC– h US = (Z3.92/Z3.84)1/3– 1h FC– h US = .0069Inflation in Poland is expected to exceed that in the U.S. by 0.69% over this period.9.The profit will be the quantity sold, times the sales price minus the cost of production. Theproduction cost is in Singapore dollars, so we must convert this to U.S. dollars. Doing so, we find that if the exchange rates stay the same, the profit will be:Profit = 30,000[$145 – {(S$168.50)/(S$1.6548/$1)}]Profit = $1,295,250.18If the exchange rate rises, we must adjust the cost by the increased exchange rate, so:Profit = 30,000[$145 – {(S$168.50)/1.1(S$1.6548/$1)}]Profit = $1,572,954.71If the exchange rate falls, we must adjust the cost by the decreased exchange rate, so:Profit = 30,000[$145 – {(S$168.50)/0.9(S$1.6548/$1)}]Profit = $955,833.53To calculate the breakeven change in the exchange rate, we need to find the exchange rate that make the cost in Singapore dollars equal to the selling price in U.S. dollars, so:$145 = S$168.50/S TS T = S$1.1621/$1S T = –.2978 or –29.78% decline10. a.If IRP holds, then:F180 = (Kr 6.43)[1 + (.08 – .05)]1/2F180 = Kr 6.5257Since given F180 is Kr6.56, an arbitrage opportunity exists; the forward premium is too high.Borrow Kr1 today at 8% interest. Agree to a 180-day forward contract at Kr 6.56. Convert the loan proceeds into dollars:Kr 1 ($1/Kr 6.43) = $0.15552Invest these dollars at 5%, ending up with $0.15931. Convert the dollars back into krone as$0.15931(Kr 6.56/$1) = Kr 1.04506Repay the Kr 1 loan, ending with a profit of:Kr1.04506 – Kr1.03868 = Kr 0.00638b.To find the forward rate that eliminates arbitrage, we use the interest rate parity condition, so:F180 = (Kr 6.43)[1 + (.08 – .05)]1/2F180 = Kr 6.525711.The international Fisher effect states that the real interest rate across countries is equal. We canrearrange the international Fisher effect as follows to answer this question:R US– h US = R FC– h FCh FC = R FC + h US– R USa.h AUS = .05 + .035 – .039h AUS = .046 or 4.6%b.h CAN = .07 + .035 – .039h CAN = .066 or 6.6%c.h TAI = .10 + .035 – .039h TAI = .096 or 9.6%12. a.The yen is expected to get stronger, since it will take fewer yen to buy one dollar in the futurethan it does today.b.h US– h JAP (¥129.76 – ¥131.30)/¥131.30h US– h JAP = – .0117 or –1.17%(1 – .0117)4– 1 = –.0461 or –4.61%The approximate inflation differential between the U.S. and Japan is – 4.61% annually.13. We need to find the change in the exchange rate over time, so we need to use the relative purchasingpower parity relationship:F t = S0 × [1 + (h FC– h US)]TUsing this relationship, we find the exchange rate in one year should be:F1 = 215[1 + (.086 – .035)]1F1 = HUF 225.97The exchange rate in two years should be:F2 = 215[1 + (.086 – .035)]2F2 = HUF 237.49And the exchange rate in five years should be:F5 = 215[1 + (.086 – .035)]5F5 = HUF 275.71ing the interest-rate parity theorem:(1 + R US) / (1 + R FC) = F(0,1) / S0We can find the forward rate as:F(0,1) = [(1 + R US) / (1 + R FC)] S0F(0,1) = (1.13 / 1.08)$1.50/£F(0,1) = $1.57/£Intermediate15.First, we need to forecast the future spot rate for each of the next three years. From interest rate andpurchasing power parity, the expected exchange rate is:E(S T) = [(1 + R US) / (1 + R FC)]T S0So:E(S1) = (1.0480 / 1.0410)1 $1.22/€ = $1.2282/€E(S2) = (1.0480 / 1.0410)2 $1.22/€ = $1.2365/€E(S3) = (1.0480 / 1.0410)3 $1.22/€ = $1.2448/€Now we can use these future spot rates to find the dollar cash flows. The dollar cash flow each year will be:Year 0 cash flow = –€$12,000,000($1.22/€) = –$14,640,000.00Year 1 cash flow = €$2,700,000($1.2282/€) = $3,316,149.86Year 2 cash flow = €$3,500,000($1.2365/€) = $4,327,618.63Year 3 cash flow = (€3,300,000 + 7,400,000)($1.2448/€) = $13,319,111.90And the NPV of the project will be:NPV = –$14,640,000 + $3,316,149.86/1.13 + $4,4327,618.63/1.132 + $13,319,111.90/1.133NPV = $914,618.7316. a.Implicitly, it is assumed that interest rates won’t change over the life of the project, but theexchange rate is projected to decline because the Euroswiss rate is lower than the Eurodollar rate.b.We can use relative purchasing power parity to calculate the dollar cash flows at each time. Theequation is:E[S T] = (SFr 1.72)[1 + (.07 – .08)]TE[S T] = 1.72(.99)TSo, the cash flows each year in U.S. dollar terms will be:t SFr E[S T] US$0 –27.0M –$15,697,674.421 +7.5M 1.7028 $4,404,510.222 +7.5M 1.6858 $4,449,000.223 +7.5M 1.6689 $4,493,939.624 +7.5M 1.6522 $4,539,332.955 +7.5M 1.6357 $4,585,184.79And the NPV is:NPV = –$15,697,674.42 + $4,404,510.22/1.13 + $4,449,000.22/1.132 + $4,493,939.62/1.133 + $4,539,332.95/1.134 + $4,585,184.79/1.135NPV = $71,580.10c.Rearranging the relative purchasing power parity equation to find the required return in Swissfrancs, we get:R SFr = 1.13[1 + (.07 – .08)] – 1R SFr = 11.87%So, the NPV in Swiss francs is:NPV = –SFr 27.0M + SFr 7.5M(PVIFA11.87%,5)NPV = SFr 123,117.76Converting the NPV to dollars at the spot rate, we get the NPV in U.S. dollars as:NPV = (SFr 123,117.76)($1/SFr 1.72)NPV = $71,580.10Challenge17. a.The domestic Fisher effect is:1 + R US = (1 + r US)(1 + h US)1 + r US = (1 + R US)/(1 + h US)This relationship must hold for any country, that is:1 + r FC = (1 + R FC)/(1 + h FC)The international Fisher effect states that real rates are equal across countries, so:1 + r US = (1 + R US)/(1 + h US) = (1 + R FC)/(1 + h FC) = 1 + r FCb.The exact form of unbiased interest rate parity is:E[S t] = F t = S0 [(1 + R FC)/(1 + R US)]tc.The exact form for relative PPP is:E[S t] = S0 [(1 + h FC)/(1 + h US)]td.For the home currency approach, we calculate the expected currency spot rate at time t as:E[S t] = (€0.5)[1.07/1.05]t= (€0.5)(1.019)tWe then convert the euro cash flows using this equation at every time, and find the present value. Doing so, we find:NPV = –[€2M/(€0.5)] + {€0.9M/[1.019(€0.5)]}/1.1 + {€0.9M/[1.0192(€0.5)]}/1.12 + {€0.9M/[1.0193(€0.5/$1)]}/1.13NPV = $316,230.72For the foreign currency approach, we first find the return in the euros as:R FC = 1.10(1.07/1.05) – 1 = 0.121Next, we find the NPV in euros as:NPV = –€2M + (€0.9M)/1.121 + (€0.9M)/1.1212+ (€0.9M)/1.1213= €158,115.36And finally, we convert the euros to dollars at the current exchange rate, which is:NPV ($) = €158,115.36 /(€0.5/$1) = $316,230.72。
罗斯公司理财第六版习题答案第5章

Concept Questions◆Define pure discount bonds, level-coupon bonds, and consols.A pure discount bond is one that makes no intervening interest payments. One receives a single lump sum payment at maturity. A level-coupon bond is a combination of an annuity and a lump sum at maturity. A consol is a bond that makes interest payments forever.◆Contrast the state interest rate and the effective annual interest rate for bonds paying semi-annual interest. Effective annual interest rate on a bond takes into account two periods of compounding per year received on the coupon payments. The state rate does not take this into account.◆What is the relationship between interest rates and bond prices?There is an inverse relationship. When one goes up, the other goes down.◆How does one calculate the yield to maturity on a bond?One finds the discount rate that equates the promised future cash flows with the price of the bond.◆What are the three factors determining a firm's P/E ratio?Today's expectations of future growth opportunities.The discount rate.The accounting method.◆What is the closing price of General Data?The closing price of General Data is 6 3/16.◆What is the PE of General House?The PE of General House is 29.◆What is the annual dividend of General Host?The annual dividend of General Host is zero.Concept Questions - Appendix To Chapter 5◆What is the difference between a spot interest rate and the yield to maturity?The yield to maturity is the geometric average of the spot rates during the life of the bond.◆Define the forward rate.Given a one-year bond and a two-year bond, one knows the spot rates for both. The forward rate is the rate of return implicit on a one-year bond purchased in the second year that would equate the terminal wealth of purchasing the one-year bond today and another in one year with that of the two-year bond.◆What is the relationship between the one-year spot rate, the two-year spot rate and the forward rate over the second year?The forward rate f2 = [(1+r2)2 /(1+r1 )] - 1◆What is the expectation hypothesis?Investors set interest rates such that the forward rate over a given period equals the spot rate for that period.◆What is the liquidity-preference hypothesis?This hypothesis maintains that investors require a risk premium for holding longer-term bonds (i.e. they prefer to be liquid or short-term investors). This implies that the market sets the forward rate for a given period above the expected spot rate for that period.Questions And ProblemsHow to Value Bonds5.1 What is the present value of a 10-year, pure discount bond that pays $1,000 at maturity and is priced to yield the following rates?a. 5 percentb. 10 percentc. 15 percentSolutions a. $1,000 / 1.0510 = $613.91b. $1,000 / 1.1010 = $385.54c. $1,000 / 1.1510 = $247.185.2 Microhard has issued a bond with the following characteristics:Principal: $1,000Term to maturity: 20 yearsCoupon rate: 8 percentSemiannual paymentsCalculate the price of the Microhard bond if the stated annual interest rate is:a. 8 percentb. 10 percentc. 6 percentSolutions The amount of the semi-annual interest payment is $40 (=$1,000 ⨯ 0.08 / 2). There are a total of 40 periods; i.e., two half years in each of the twenty years in the term to maturity.The annuity factor tables can be used to price these bonds. The appropriate discount rate touse is the semi-annual rate. That rate is simply the annual rate divided by two. Thus, for part b the rate to be used is 5% and for part c is it 3%.a. $40 (19.7928) + $1,000 / 1.0440 = $1,000Notice that whenever the coupon rate and the market rate are the same, the bond ispriced at par.b. $40 (17.1591) + $1,000 / 1.0540 = $828.41Notice that whenever the coupon rate is below the market rate, the bond is pricedbelow par.c. $40 (23.1148) + $1,000 / 1.0340 = $1,231.15Notice that whenever the coupon rate is above the market rate, the bond is pricedabove par.5.3 Consider a bond with a face value of $1,000. The coupon is paid semiannually and the market interest rate (effective annual interest rate) is 12 percent. How much would you pay for the bond if a. the coupon rate is 8 percent and the remaining time to maturity is 20 years?b. the coupon rate is 10 percent and the remaining time to maturity is 15 years?Solutions Semi-annual discount factor = (1.12)1/2 - 1 = 0.05830 = 5.83%a. Price = $40400583.0A+ $1,000 / 1.058340= $614.98 + $103.67= $718.65b. Price = $50300583.0A+ $1,000 / 1.058330= $700.94 + $182.70 = $883.645.4 Pettit Trucking has issued an 8-percent, 20-year bond that pays interest semiannually. If the market prices the bond to yield an effective annual rate of 10 percent, what is the price of the bond? Solutions Effective annual rate of 10%:Semi-annual discount factor = (1.1)0.5 - 1 = 0.04881 = 4.881%Price = $404004881.0A+ $1,000 / 1.0488140= $846.335.5 A bond is sold at $923.14 (below its par value of $1,000). The bond has 15 years to maturity and investors require a 10-percent yield on the bond. What is the coupon rate for the bond if the coupon is paid semiannually?Solutions $923.14 = C3005.0A+ $1,000 / 1.0530= (15.37245) C + $231.38C = $45The annual coupon rate = $45 ⨯ 2 / $1,000 = 0.09 = 9%5.6 You have just purchased a newly issued $1,000 five-year Vanguard Company bond at par. This five-year bond pays $60 in interest semiannually. You are also considering the purchase of another Vanguard Company bond that returns $30 in semiannual interest payments and has six years remaining before it matures. This bond has a face value of $1,000.a. What is effective annual return on the five-year bond?b. Assume that the rate you calculated in part (a) is the correct rate for the bond with six years remaining before it matures. What should you be willing to pay for that bond?c. How will your answer to part (b) change if the five-year bond pays $40 in semiannual interest? Solutionsa. The semi-annual interest rate is $60 / $1,000 = 0.06. Thus, the effective annual rate is 1.062 - 1 =0.1236 = 12.36%.b. Price = $301206.0A+ $1,000 / 1.0612= $748.48c. Price = $301204.0A+ $1,000 / 1.0412= $906.15Note: In parts b and c we are implicitly assuming that the yield curve is flat. That is, the yield in year 5 applies for year 6 as well.Bond Concepts5.7 Consider two bonds, bond A and bond B, with equal rates of 10 percent and the same face values of $1,000. The coupons are paid annually for both bonds. Bond A has 20 years to maturity while bond B has10 years to maturity.a. What are the prices of the two bonds if the relevant market interest rate is 10 percent?b. If the market interest rate increases to 12 percent, what will be the prices of the two bonds?c. If the market interest rate decreases to 8 percent, what will be the prices of the two bonds?Solutionsa. PA = $1002010.0A+ $1,000 / 1.1020 = $1,000PB = $1001010.0A+ $1,000 / 1.1010 = $1,000b. PA = $1002012.0A+ $1,000 / 1.1220 = $850.61PB = $1001012.0A+ $1,000 / 1.1210 = $887.00c. PA = $1002008.0A+ $1,000 / 1.0820 = $1,196.36PB = $1001008.0A+ $1,000 / 1.0810 = $1,134.205.8 a. If the market interest rate (the required rate of return that investors demand) unexpectedly increases, what effect would you expect this increase to have on the prices of long-term bonds? Why?b. What would be the effect of the rise in the interest rate on the general level of stock prices? Why? Solutionsa. The price of long-term bonds should fall. The price is the PV of the cash flowsassociated with the bond. As the interest rate rises, the PV of those flows falls.This can be easily seen by looking at a one-year, pure discount bond.Price = $1,000 / (1 + i)As i. increases, the denominator rises. This increase causes the price to fall.b. The effect upon stocks is not as certain as that upon the bonds. The nominalinterest rate is a function of both the real interest rate and the inflation rate; i.e.,(1 + i) = (1 + r) (1 + inflation)From this relationship it is easy to conclude that as inflation rises, the nominalinterest rate rises. Stock prices are a function of dividends and future prices aswell as the interest rate. Those dividends and future prices are determined by theearning power of the firm. When inflation occurs, it may increase or decreasefirm earnings. Thus, the effect of a rise in the level of general prices upon thelevel of stock prices is uncertain.5.9 Consider a bond that pays an $80 coupon annually and has a face value of $1,000. Calculate the yield to maturity if the bond hasa. 20 years remaining to maturity and it is sold at $1,200.b. 10 years remaining to maturity and it is sold at $950.Solutions a. $1,200 = $8020rA+ $1,000 / (1 + r)20r = 0.0622 = 6.22%b. $950 = $8010rA+ $1,000 / (1 + r)10r = 0.0877 = 8.77%5.10 The Sue Fleming Corporation has two different bonds currently outstanding. Bond A has a face value of $40,000 and matures in 20 years. The bond makes no payments for the first six years and then pays $2,000 semiannually for the subsequent eight years, and finally pays $2,500 semiannually for the last six years. Bond B also has a face value of $40,000 and a maturity of 20 years; it makes no coupon payments over the life of the bond. If the required rate of return is 12 percent compounded semiannually, what is the current price of Bond A? of Bond B?Solutions PA = ($2,0001606.0A) / (1.06)12 + ($2,5001206.0A) / (1.06)28 + $40,000 / (1.06)40= $18,033.86PB = $ 40,000 / (1.06)40 = $3,888.89The Present Value of Common Stocks5.11 Use the following February 11, 2000, WSJ quotation for AT&T Corp. Which of the following statements is false?a. The closing price of the bond with the shortest time to maturity was $1,000.b. The annual coupon for the bond maturing in year 2016 is $90.00.c. The price on the day before this quotation (i.e., February 9) for the ATT bond maturing in year 2022 was $1.075 per bond contract.d. The current yield on the ATT bond maturing in year 2002 was 7.125%e. The ATT bond maturing in year 2002 has a yield to maturity less than 7.125%.Bonds Cur Yld Vol Close Net ChgATT 9s 16 ? 10 117 _ 1/4ATT 5 1/8 01 ? 5 100 _ 3/4ATT 7 1/8 02 ? 193 104 1/8 _ 1/4ATT 8 1/8 22 ? 39 107 3/8 _ 1/8Solutions a. TrueTrueFalseFalseTrue5.12 Following are selected quotations for New York Exchange Bonds from the Wall Street Journal. Which of the following statements about Wilson’s bond is false?a. The bond maturing in year 2000 has a yield to maturity greater th an 63⁄8%.b. The closing price of the bond with the shortest time to maturity on the day before this quotation was $1,003.25.c. This annual coupon for the bond maturing in year 2013 is $75.00.d. The current yield on the Wilson’s bond with the longest time to maturity was 7.29%.e. None of the above.Quotations as of 4 P.M. Eastern TimeFriday, April 23, 1999Bonds Current Yield Vol Close NetWILSON 6 3/8 99 ? 76 100 3/8 _ 1/8WILSON 6 3/8 00 ? 9 98 1/2WILSON 7 1/4 02 ? 39 103 5/8 1/8WILSON 7 1/2 13 ? 225 102 7/8 _ 1/8Solutions a. TrueFalseTrueTrueFalse5.13 A common stock pays a current dividend of $2. The dividend is expected to grow at an 8-percent annual rate for the next three years; then it will grow at 4 percent in perpetuity.The appropriate discount rate is 12 percent. What is the price of this stock?Solutions Price = $2 (1.08) / 1.12 + $2 (1.082) / 1.122 + $2 (1.083) / 1.123+ {$2 (1.083) (1.04) / (0.12 - 0.04)} / 1.123= $28.895.14 Use the following February 12, 1998, WSJ quotation for Merck & Co. to answer the next question. 52 Weeks Yld Vol NetHi Lo Stock Sym Div % PE 100s Hi Lo Close Chg120. 80.19 Merck MRK 1.80 ? 30 195111 115.9 114.5 115 _1.25Which of the following statements is false?a. The dividend yield was about 1.6%.b. The 52 weeks’ trading range was $39.81.c. The closing price per share on February 10, 1998, was $113.75.d. The closing price per share on February 11, 1998, was $115.e. The earnings per share were about $3.83.Solutions a. FalseTrueFalseFalseTrue5.15 Use the following stock quote.52 Weeks Yld Vol NetHi Lo Stock Sym Div % PE 100s Hi Lo Close Chg126.25 72.50 Citigroup CCI 1.30 1.32 16 20925 98.4 97.8 98.13 _.13The expected growth rate in Citigroup’s dividends is 7% a year. Suppose you use the discounted dividend model to price Citigroup’s shares. The constant growth dividend model would suggest that the required return on the Citigroup’s stock is what?98.125 = 1.30 ( 1.07) / r - 0.07r = 8.4175 %5.16 You own $100,000 worth of Smart Money stock. At the end of the first year you receive a dividend of $2 per share; at the end of year 2 you receive a $4 dividend. At the end of year 3 you sell the stock for $50 per share. Only ordinary (dividend) income is taxed at the rate of 28 percent. Taxes are paid at the time dividends are received. The required rate of return is 15 percent. How many shares of stock do you own? Solutions Price = $2 (0.72) / 1.15 + $4 (0.72) / 1.152 + $50 / 1.153= $36.31The number of shares you own = $100,000 / $36.31 = 2,754 shares5.17 Consider the stock of Davidson Company that will pay an annual dividend of $2 in the coming year. The dividend is expected to grow at a constant rate of 5 percent permanently.The market requires a 12-percent return on the company.a. What is the current price of a share of the stock?b. What will the stock price be 10 years from today?Solutionsa. P = $2 / (0.12 - 0.05) = $28.57b. P10 = D11 / (r - g)= $2 (1.0510) / (0.12 - 0.05) = $46.545.18 Easy Type, Inc., is one of a myriad of companies selling word processor programs. Their newest program will cost $5 million to develop. First-year net cash flows will be $2 million. As a result of competition, profits will fall by 2 percent each year thereafter.All cash inflows will occur at year-end. If the market discount rate is 14 percent, what is the value of this new program?SolutionsValue = -$5,000,000 + $2,000,000 / {0.14 - (-0.02)}= $7,500,0005.19 Whizzkids, Inc., is experiencing a period of rapid growth. Earnings and dividends per share are expected to grow at a rate of 18 percent during the next two years, 15 percent in the third year, and at a constant rate of 6 percent thereafter. Whizzkids’ last dividend, which has just been paid, was $1.15. If the required rate of return on the stock is 12 percent, what is the price of a share of the stock today? SolutionsPrice = $1.15 (1.18) / 1.12 + $1.15 (1.182) / 1.122 + $1.152 (1.182) / 1.123+ {$1.152 (1.182) (1.06) / (0.12 - 0.06)} / 1.123= $26.955.20 Allen, Inc., is expected to pay an equal amount of dividends at the end of the first two years. Thereafter, the dividend will grow at a constant rate of 4 percent indefinitely. The stock is currently traded at $30. What is the expected dividend per share for the next year if the required rate of return is 12 percent? Solutions$30 = D / 1.12 + D / 1.122 + {D (1 + 0.04) / (0.12 - 0.04)} / 1.122= 12.053571 DD = $2.495.21 Calamity Mining Company’s reserves of ore are being depleted, and its costs of recovering a declining quantity of ore are rising each year. As a result, the company’s earnings are declining at the rate of 10 percent per year. If the dividend per share that is about to be paid is $5 and the required rate of return is 14 percent, what is the value of the firm’s stock?SolutionsDividend one year from now = $5 (1 - 0.10) = $4.50Price = $5 + $4.50 / {0.14 - (-0.10)} = $23.75Since the current $5 dividend has not yet been paid, it is still included in the stock price.5.22 The Highest Potential, Inc., will pay a quarterly dividend per share of $1 at the end of each of the next 12 quarters. Subsequently, the dividend will grow at a quarterly rate of 0.5 percent indefinitely. The appropriate rate of return on the stock is 10 percent. What is the current stock price?Estimates of Parameters in the Dividend-Discount ModelSolutionsPrice = $112025.0A+ {$1 (1 + 0.005) / (0.025 - 0.005)} / 1.02512= $10.26 + $37.36= $47.625.23 The newspaper reported last week that Bradley Enterprises earned $20 million. The report also stated that the firm’s return on equity remains on its historical trend of 14 percent. Bradley retains 60 percent of its earnings. What is the firm’s growth rate of earnings? What will next year’s earnings be? SolutionsGrowth rate g = 0.6 ⨯ 0.14 = 0.084 = 8.4%Next year earnings = $20 million ⨯ 1.084 = $21.68 million5.24 Von Neumann Enterprises has just reported earnings of $10 million, and it plans to retain 75 percent of its earnings. The company has 1.25 million shares of common stock outstanding. The stock is selling at $30. The historical return on equity (ROE) of 12 percent is expected to continue in the future. What is the required rate of return on the stock?Growth Opportunitiesg = retention ratio ⨯ ROE = 0.75 ⨯ 0.12= 0.09 = 9%Dividend per share = $10 million ⨯ (1 - 0.75) / 1.25 million= $2The required rate of return = $2 (1.09) / $30 + 0.09= 0.1627 = 16.27%5.25 Rite Bite Enterprises sells toothpicks. Gross revenues last year were $3 million, and total costs were $1.5 million. Rite Bite has 1 million shares of common stock outstanding. Gross revenues and costs are expected to grow at 5 percent per year. Rite Bite pays no income taxes, and all earnings are paid out as dividends.a. If the appropriate discount rate is 15 percent and all cash flows are received at year’s end, what is the price per share of Rite Bite stock?b. The president of Rite Bite decided to begin a program to produce toothbrushes. The project requires an immediate outlay of $15 million. In one year, another outlay of $5 million will be needed. The year after that, net cash inflows will be $6 million. This profit level will be maintained in perpetuity. What effect will undertaking this project have on the price per share of the stock?Solutionsa. Price = ($3 - $1.5) ⨯ 1.05 / (0.15 - 0.05)= $15.75b. NPVGO = -$15,000,000 - $5,000,000 / 1.15 + ($6,000,000 / 0.15) / 1.15= $15,434,783The price increases by $15.43 per share.5.26 California Electronics, Inc., expects to earn $100 million per year in perpetuity if it does not undertake any new projects. The firm has an opportunity that requires an investment of $15 million today and $5 million in one year. The new investment will begin to generate additional annual earnings of $10 million two years from today in perpetuity. The firm has 20 million shares of common stock outstanding, and the required rate of return on the stock is 15 percent.a. What is the price of a share of the stock if the firm does not undertake the new project?b. What is the value of the growth opportunities resulting from the new project?c. What is the price of a share of the stock if the firm undertakes the new project?Solutionsa. Price = EPS / r = {$100 million / 20 million} / 0.15= $33.33b. NPV = -$15 million - $5 million / 1.15 + ($10 million / 0.15) / 1.15= $38,623,188c. Price = $33.33 + $38,623,188 / 20,000,000= $35.265.27 Suppose Smithfield Foods, Inc., has just paid a dividend of $1.40 per share. Sales and profits for Smithfield Foods are expected to grow at a rate of 5% per year. Its dividend is expected to grow by the same rate. If the required return is 10%, what is the value of a share of Smithfield Foods?SolutionsPrice = 1.40 (1.05) / 0.10 - 0.05Price = $29.405.28 In order to buy back its own shares, Pennzoil Co. has decided to suspend its dividends for the next two years. It will resume its annual cash dividend of $2.00 a share 3 years from now. This level of dividends will be maintained for one more year. Thereafter, Pennzoil is expected to increase its cash dividend payments by an annual growth rate of 6% per year forever. The required rate of return on Pennzoil’s stock is 16%. According to the discounted dividend model, what should Pennzoil’s current share price be? SolutionsPrice = 2 / (1.16) 3 + 2 / (1.16)4 + 2.12 / 0.16 - 0.06= 1.28 + 1.10 + 21.20= $23.585.29 Four years ago, Ultramar Diamond Inc. paid a dividend of $0.80 per share. This year Ultramar paid a dividend of $1.66 per share. It is expected that the company will pay dividends growing at the same rate for the next 5 years. Thereafter, the growth rate will level at 8% per year. The required return on this stock is 18%. According to the discounted dividend model, what would Ultramar’s cash dividend be in 7 years? a. $2.86c. $3.68d. $4.30e. $4.82Solutionsa. g = 0.4 ⨯ 0.15 = 0.06 = 6%b. Dividend per share = $1.5 million ⨯ 0.6 / 300,000= $3Price = $3 (1.06) / (0.13 - 0.06)= $45.43c. Assuming the additional earnings generated are all paid out as cash dividends.NPV = -$1.2 million + $0.3 million {1 / (0.13 - 0.10)} {1 - (1.10 / 1.13)10}= $1,159,136.93d. Price = $45.43 + $1,159,136.93 / 300,000= $49.295.30 The Webster Co. has just paid a dividend of $5.25 per share. The company will increase its dividendby 15 percent next year and will then reduce its dividend growth by 3 percent each year until it reaches the industry average of 5 percent growth, after which the company will keep a constant growth, forever. The required rate of return for the Webster Co. is 14 percent. What will a share of stock sell for?SolutionsPrice = 3 / 1.15 + 4.5 / ( 1.15)2 + 4.725 / 0.15- 0.05= 2.61 + 3.40 + 47.52= $53.535.31 Consider Pacific Energy Company and U.S. Bluechips, Inc., both of which reported recent earnings of $800,000 and have 500,000 shares of common stock outstanding. Assume both firms have the same required rate of return of 15 percent a year.a. Pacific Energy Company has a new project that will generate cash flows of $100,000 each year in perpetuity. Calculate the P/E ratio of the company.Chapter 5 How to Value Bonds and Stocks 129b. U.S. Bluechips has a new project that will increase earnings by $200,000 in the coming year. The increased earnings will grow at 10 percent a year in perpetuity. Calculate the P/E ratio of the firm. Solutionsa. P/E of Pacific Energy Company:EPS = ($800,000 / 500,000) = $1.6NPVGO = {$100,000 / 500,000} / 0.15 = $1.33P/E = 1 / 0.15 + 1.33 / 1.6 = 7.50b. P/E of U. S. Bluechips, Inc.:NPVGO = {$200,000 / 500,000} / (0.15 - 0.10) = $8P/E = 1 / 0.15 + 8 / 1.6 = 11.675.32 (Challenge Question) Lewin Skis Inc. (today) expects to earn $4.00 per share for each of the future operating periods (beginning at time 1) if the firm makes no new investments (and returns the earnings as dividends to the shareholders). However, Clint Williams, President and CEO, has discovered an opportunity to retain (and invest) 25% of the earnings beginning three years from today (starting at time 3). This opportunity to invest will continue (for each period) indefinitely. He expects to earn 40% (per year) on this new equity investment (ROE of 40), the return beginning one year after each investment is made. The firm’s equity discount rate is 14% throughout.a. What is the price per share (now at time 0) of Lewin Skis Inc. stock without making the new investment?b. If the new investment is expected to be made, per the preceding information, what would the value of the stock (per share) be now (at time 0)?c. What is the expected capital gain yield for the second period, assuming the proposed investment is made? What is the expected capital gain yield for the second period if the proposed investment is not made?d. What is the expected dividend yield for the second period if the new investment is made? What is the expected dividend yield for the second period if the new investment is not made?Solutionsa. Price = $4 / 0.14 = $28.57Price = 28.57 + (-1 + 0.40 / 0.14) / 0.04(1.14) 3= 28.57 + 31.33The expected return of 14% less the dividend yield of 5% providesa capital gain yield of 9%. If there is no investment the yield is 14%.$3 / $59.90 = .05 and $4 / $28.57 = .14 without the investment.Appendix to Chapter 5 Questions And ProblemsA.1 The appropriate discount rate for cash flows received one year from today is 10 percent. The appropriate annual discount rate for cash flows received two years from today is 11 percent.a. What is the price of a two-year bond that pays an annual coupon of 6 percent?b. What is the yield to maturity of this bond?Solutionsa. P = $60 / 1.10 + $1,060 / (1.11)2= $54.55 + $ 860.32= $914.87$914.87 = $60 / ( 1 + y ) + $1,060 / ( 1 + y )2y = YTM = 10.97%A.2 The one-year spot rate equals 10 percent and the two-year spot rate equals 8 percent. What should a 5-percent coupon two-year bond cost?SolutionsP = $50 / 1.10 + $1,050 / (1.08)2= $45.45 + $900.21= $945.66A.3 If the one-year spot rate is 9 percent and the two-year spot rate is 10 percent, what is the forward rate? Solutions ( 1 + r1 )( 1 + ƒ2 ) = ( 1 + r2 )2( 1.09 ) ( 1 + ƒ2 ) = ( 1.10 )2ƒ2 = .1101A.4 Assume the following spot rates:Maturity Spot Rates (%)1 52 73 10What are the forward rates over each of the three years?Solutions( 1 + r2 )2 = ( 1+ r1 ) ( 1 + ƒ2 )( 1.07 )2 = ( 1.05 )( 1 + ƒ2 )ƒ2 = .0904, one-year forward rate over the 2nd year is 9.04%.( 1 + r3 )3 = ( 1 + r2 )2 ( 1 + ƒ3 )( 1.10 )3 = ( 1.07 )2 ( 1 + ƒ3 )ƒ3 = .1625, one-year forward rate over the 3rd year is 16.25%.。
《corporate finance》罗斯版英文版 Chapter 06书本课后习题及答案

Chapter 061.The changes in a firm's future cash flows that are a direct consequence of accepting a project arecalled _____ cash flows.A. i ncrementalB. s tand-aloneC. o pportunityD. n et present valueE. e rosion2.The annual annuity stream of payments with the same present value as a project's costs is calledthe project's _____ cost.A. i ncrementalB. s unkC. o pportunityD. e rosionE. e quivalent annual3. A cost that has already been paid, or the liability to pay has already been incurred, is a(n):A. s alvage value expense.B. n et working capital expense.C. s unk cost.D. o pportunity cost.E. e rosion cost.4.The most valuable investment given up if an alternative investment is chosen is a(n):A. s alvage value expense.B. n et working capital expense.C. s unk cost.D. o pportunity cost.E. e rosion cost.5. A decrease in a firm’s current cash flows resulting from the implementation of a new project isreferred to as:A. s alvage value expenses.B. n et working capital expenses.C. s unk costs.D. o pportunity costs.E. e rosion costs.6.The depreciation method currently allowed under U.S. tax law governing the accelerated write-offof property under various lifetime classifications is called _____ depreciation.A. F IFOB. M ACRSC. s traight-lineD. s um-of-years digitsE. c urvilinear7.The cash flow tax savings generated as a result of a firm's tax-deductible depreciation expense iscalled the:A. a ftertax depreciation savings.B. d epreciable basis.C. d epreciation tax shield.D. o perating cash flow.E. a ftertax salvage value.8.The cash flow from a project is computed as the:A. n et operating cash flow generated by the project, less any sunk costs and erosion costs.B. s um of the incremental operating cash flow and aftertax salvage value of the project.C. n et income generated by the project, plus the annual depreciation expense.D. s um of the incremental operating cash flow, capital spending, and net working capital cashflows incurred by the project.E. s um of the sunk costs, opportunity costs, and erosion costs of the project.9.Interest rates or rates of return on investments that have been adjusted for the effects of inflationare called _____ rates.A. r ealB. n ominalC. e ffectiveD. s trippedE. c oupon10.The increase you realize in buying power as a result of owning an investment is referred to as the_____ rate of return.A. i nflatedB. r ealizedC. n ominalD. r ealE. r isk-free11.The pro forma income statement for a cost reduction project:A. w ill reflect a reduction in the sales of the firm.B. w ill generally reflect no incremental sales.C. h as to be prepared reflecting the total sales and expenses of the entire firm.D. c annot be prepared due to the lack of any project related sales.E. w ill always reflect a negative project operating cash flow.12.One purpose of identifying all of the incremental cash flows related to a proposed project is to:A. i solate the total sunk costs so they can be evaluated to determine if the project will add valueto the firm.B. e liminate any cost which has previously been incurred so that it can be omitted from theanalysis of the project.C. m ake each project appear as profitable as possible for the firm.D. i nclude both the proposed and the current operations of a firm in the analysis of the project.E. i dentify any and all changes in the cash flows of the firm for the past year so they can beincluded in the analysis.13.Sunk costs include any cost that:A. w ill change if a project is undertaken.B. w ill be incurred if a project is accepted.C. h as previously been incurred and cannot be changed.D. w ill be paid to a third party and cannot be refunded for any reason whatsoever.E. w ill occur if a project is accepted and once incurred, cannot be recouped.14.You spent $500 last week fixing the transmission in your car. Now, the brakes are acting up andyou are trying to decide whether to fix them or trade the car in for a newer model. In analyzing the brake situation, the $500 you spent fixing the transmission is a(n) _____ cost.A. o pportunityB. f ixedC. i ncrementalD. s unkE. r elevant15.Erosion can be explained as the:A. a dditional income generated from the sales of a newly added product.B. l oss of current sales due to a new project being implemented.C. l oss of revenue due to employee theft.D. l oss of revenue due to customer theft.E. l oss of cash due to the expenses required to fix a parking lot after a heavy rain storm.16.Which one of these is an example of erosion that should be included in project analysis?A. T he anticipated loss of current sales when a new product is launched.B. T he expected decline in sales as a new product ages.C. T he reduction in your sales that occurs when a competitor introduces a new product.D. T he sudden loss of sales due to a major employer in your community implementing massivelayoffs.E. T he reduction in sales price that will most likely be required to sell inventory that has aged.17.Which one of the following should be excluded from the analysis of a project?A. e rosion costsB. i ncremental fixed costsC. i ncremental variable costsD. s unk costsE. o pportunity costs18.All of the following are anticipated effects of a proposed project. Which of these should be considered when computing the cash flow for the final year of a project?A. o perating cash flow and salvage valuesB. s alvage values and net working capital recoveryC.operating cash flow, net working capital recovery, salvage valuesD. n et working capital recovery and operating cash flowE.operating cash flow only19.Changes in the net working capital:A. c an affect the cash flows of a project every year of the project's life.B. o nly affect the initial cash flows of a project.C. a re included in project analysis only if they represent cash outflows.D. a re generally excluded from project analysis due to their irrelevance to the total project.E. a ffect the initial and the final cash flows of a project but not the cash flows of the middle years.20.The net working capital of a firm will decrease if there is:A. a decrease in accounts payable.B. a n increase in inventory.C. a decrease in accounts receivable.D. a n increase in the firm's checking account balance.E. a decrease in fixed assets. working capital:A. c an be ignored in project analysis because any expenditure is normally recouped by the end ofthe project.B. r equirements generally, but not always, create a cash inflow at the beginning of a project.C. e xpenditures commonly occur at the end of a project.D. i s frequently affected by the additional sales generated by a new project.E. i s the only expenditure where at least a partial recovery can be made at the end of a project.22.A company which uses the MACRS system of depreciation:A. w ill have equal depreciation costs each year of an asset's life.B. w ill expense the largest percentage of the cost during an asset’s first year of life.C. c an depreciate the cost of land, if it so desires.D. w ill write off the entire cost of an asset over the asset's class life.E. c annot expense any of the cost of a new asset during the first year of the asset's life.23.Champion Toys just purchased some MACRS 5-year property at a cost of $230,000. TheMACRS rates are 20 percent, 32 percent, 19.2 percent, 11.52 percent, 11.52 percent, and 5.76 percent for Years 1 to 6, respectively. The book value of the asset as of the end of Year 2 can be calculated as:A. $230,000 × (1 −.20 −.32).B. $230,000 × ([1 - (.20 × .32)].B. $230,000 × (1 - .20) × (1 - .32).C. $230,000 / (1 - .20 - .32).D. $230,000 - ($230,000 × .20 × .32).24.Pete’s Garage just purchased some equipment at a cost of $650,000. What is the propermethodology for computing the depreciation expense for Year 3 if the equipment is classified as 5-year property for MACRS? The MACRS rates are 20 percent, 32 percent, 19.2 percent, 11.52 percent, 11.52 percent, and 5.76 percent for Years 1 to 6, respectively.A. $650,000 ×(1 − .20) ×(1 −.32) ×(1 −.192)B. $650,000 ×(1 − .20) ×(1 −.32)C. $650,000 ×(1 − .20) ×(1 − .32) × .192)D. $650,000 ×(1 −.192)E. $650,000 ×.19225.The book value of an asset is primarily used to compute the:A. a nnual depreciation tax shield.B. a mount of cash received from the sale of an asset.C. a mount of tax saved annually due to the depreciation expense.D. a mount of tax due on the sale of an asset.E. c hange in depreciation needed to reflect the market value of the asset.26.The salvage value of an asset creates an aftertax cash flow in an amount equal to the:A. s ales price of the asset.B. s ales price minus the book value.C. s ales price minus the tax due based on the sales price minus the book value.D. s ales price plus the tax due based on the sales price minus the book value.E. s ales price plus the tax due based on the book value minus the sales price.27.The pretax salvage value of an asset is equal to the:A. b ook value if straight-line depreciation is used.B. b ook value if MACRS depreciation is used.C. m arket value minus the book value.D. b ook value minus the market value.E. m arket value.28.A project's operating cash flow will increase when the:A. d epreciation expense increases.B. s ales projections are lowered.C. i nterest expense is lowered.D. n et working capital requirement increases.E. e arnings before interest and taxes decreases.29.The cash flows of a project should:A. b e computed on a pretax basis.B. i nclude all sunk costs and opportunity costs.C. i nclude all incremental and opportunity costs.D. b e applied to the year when the related expense or income is recognized by GAAP.E. i nclude all financing costs related to new debt acquired to finance the project.30.Assume a firm has no interest expense or extraordinary items. Given this, the operating cash flow can be computed as:A. E BIT - Taxes.B. E BIT × (1 - Tax rate) + Depreciation × Tax rate.C. (Sales - Costs) × (1 - Tax rate).D. E BIT - Depreciation + Taxes.E.Net income + Depreciation.31.The bottom-up approach to computing the operating cash flow applies only when:A. b oth the depreciation expense and the interest expense are equal to zero.B. t he interest expense is equal to zero.C. t he project is a cost-cutting project.D. n o fixed assets are required for the project.E. t axes are ignored and the interest expense is equal to zero.32.The top-down approach to computing the operating cash flow:A. i gnores all noncash items.B. a pplies only if a project produces sales.C. c an only be used if the entire cash flows of a firm are included.D. i s equal to Sales −Costs −Taxes + Depreciation.E. i ncludes the interest expense related to a project.33.For a profitable firm, an increase in which one of the following will increase the operating cashflow?A. e mployee salariesB. o ffice rentC. b uilding maintenanceD. d epreciationE. e quipment rental34.Tax shield refers to a reduction in taxes created by:A. a reduction in sales.B. a n increase in interest expense.C. n oncash expenses.D. a project's incremental expenses.E. o pportunity costs.35.A project which is designed to improve the manufacturing efficiency of a firm but will generate noadditional sales revenue is referred to as a(n) _____ project.A. s unk costB. o pportunityC. c ost-cuttingD. r evenue-cuttingE. r evenue-generating36.Toni's Tools is comparing machines to determine which one to purchase. The machines sell fordiffering prices, have differing operating costs, differing machine lives, and will be replaced when worn out. These machines should be compared using:A. n et present value only.B. b oth net present value and the internal rate of return.C. t heir equivalent annual costs.D. t he depreciation tax shield approach.E. t he replacement parts approach.37.The equivalent annual cost method is useful in determining:A. t he annual operating cost of a machine if the annual maintenance is performed versus whenthe maintenance is not performed as recommended.B. t he tax shield benefits of depreciation given the purchase of new assets for a project.C. o perating cash flows for cost-cutting projects of equal duration.D. w hich one of two machines to acquire given equal machine lives but unequal machine costs.E. w hich one of two machines to purchase when the machines are mutually exclusive, havedifferent machine lives, and will be replaced once they are worn out.38.Marshall's purchased a corner lot five years ago at a cost of $498,000 and then spent $63,500 ongrading and drainage so the lot could be used for storing outdoor inventory. The lot was recently appraised at $610,000. The company now wants to build a new retail store on the site. Thebuilding cost is estimated at $1.1 million. What amount should be used as the initial cash flow for this building project?A. $1,661,500B. $1,100,000C. $1,208,635D. $1,710,000E. $1,498,00039.Samson's purchased a lot four years ago at a cost of $398,000. At that time, the firm spent$289,000 to build a small retail outlet on the site. The most recent appraisal on the propertyplaced a value of $629,000 on the property and building. Samson’s now wants to tear down the original structure and build a new strip mall on the site at an estimated cost of $2.3 million. What amount should be used as the initial cash flow for new project?A. $2,987,000B. $2,242,000C. $2,058,000D. $2,300,000E. $2,929,00040.Jamestown Ltd. currently produces boat sails and is considering expanding its operations toinclude awnings. The expansion would require the use of land the firm purchased three years ago at a cost of $142,000 that is currently valued at $137,500. The expansion could use someequipment that is currently sitting idle if $6,700 of modifications were made to it. The equipment originally cost $139,500 six years ago, has a current book value of $24,700, and a current market value of $39,000. Other capital purchases costing $780,000 will also be required. What is the amount of the initial cash flow for this expansion project?A. $953,400B. $962,300C. $948,900D. $927,800E. $963,20041.The Boat Works currently produces boat sails and is considering expanding its operations toinclude awnings. The expansion would require the use of land the firm purchased three years ago at a cost of $197,000 that is currently valued at $209,500. The expansion could use someequipment that is currently sitting idle if $7,500 of modifications were made to it. The equipment originally cost $387,500 five years ago, has a current book value of $132,700, and a current market value of $139,000. Other capital purchases costing $520,000 will also be required. What is the value of the opportunity costs that should be included in the initial cash flow for theexpansion project?A. $425,000B. $485,000C. $329,700D. $348,500E. $537,20042.Walks Softly sells customized shoes. Currently, it sells 14,800 pairs of shoes annually at anaverage price of $59 a pair. It is considering adding a lower-priced line of shoes that will be priced at $39 a pair. Walks Softly estimates it can sell 6,000 pairs of the lower-priced shoes but will sell 3,500 less pairs of the higher-priced shoes by doing so. What annual sales revenue should be used when evaluating the addition of the lower-priced shoes?A. $27,500B. $24,000C. $31,300D. $789,100E. $900,70043.Foamsoft sells customized boat shoes. Currently, it sells 16,850 pairs of shoes annually at anaverage price of $79 a pair. It is considering adding a lower-priced line of shoes which sell for $49a pair. Foamsoft estimates it can sell 5,000 pairs of the lower-priced shoes but will sell 1,250 lesspairs of the higher-priced shoes by doing so. What is the estimated value of the erosion cost that should be charged to the lower-priced shoe project?A. $138,750B. $146,250C. $98,750D. $52,000E. $123,24044.Sue purchased a house for $89,000, spent $56,000 upgrading it, and currently had it appraised at$212,900. The house is being rented to a family for $1,200 a month, the maintenance expenses average $200 a month, and the property taxes are $4,800 a year. If she sells the house she will incur $20,000 in expenses. She is considering converting the house into professional officespace. What opportunity cost, if any, should she assign to this property if she has been renting it for the past two years? A. $178,500A. $120,000B. $185,000C. A NSD. $192,900D. $232,90045.Jamie's Motor Home Sales currently sells 1,100 Class A motor homes, 2,200 Class C motorhomes, and 2,800 pop-up trailers each year. Jamie is considering adding a mid-range camper and expects that if she does so she can sell 1,500 of them. However, if the new camper is added, Jamie expects that her Class A sales will decline to 850 units while the Class C camper sales decline to 2,000. The sales of pop-ups will not be affected. Class A motor homes sell for anaverage of $140,000 each. Class C homes are priced at $59,500 and the pop-ups sell for $5,000 each. The new mid-range camper will sell for $42,900. What is the erosion cost of adding the mid-range camper?A. $54,250,000B. $46,900,000C. $53,750,000D. $63,150,000E. $78,750,00046.Ernie's Electrical is evaluating a project which will increase sales by $50,000 and costs by$30,000. The project will cost $150,000 and will be depreciated straight-line to a zero book value over the 10-year life of the project. The applicable tax rate is 34 percent. What is the operating cash flow for this project?A. $19,200B. $15,000C. $21,300D. $17,900E. $18,30047.Kurt's Cabinets is looking at a project that will require $80,000 in fixed assets and another$20,000 in net working capital. The project is expected to produce sales of $110,000 withassociated costs of $70,000. The project has a 4-year life. The company uses straight-line depreciation to a zero book value over the life of the project. The tax rate is 35 percent. What is the operating cash flow for this project?A. $7,000B. $13,000C. $27,000D. $33,000E. $40,00048.Peter's Boats has sales of $760,000 and a profit margin of 5 percent. The annual depreciationexpense is $80,000. What is the amount of the operating cash flow if the company has no long-term debt?A. $34,000B. $86,400C. $118,000D. $120,400E. $123,90049.Samoa's Tools has sales of $760,000 and a profit margin of 8 percent. The annual depreciationexpense is $50,000. What is the amount of the operating cash flow if the company has no long-term debt?A. $50,000B. $60,800C. $110,800D. $810,000E. $930,00050.Le Place has sales of $439,000, depreciation of $32,000, and net working capital of $56,000. Thefirm has a tax rate of 34 percent and a profit margin of 6 percent. The firm has no interestexpense. What is the amount of the operating cash flow?A. $49,384B. $52,616C. $54,980D. $58,340E. $114,34051.The By-Way has sales of $435,000, costs of $254,000, depreciation of $35,000, interest expenseof $22,000, and taxes of $43,400. What is the amount of the operating cash flow?A. $115,600B. $157,900C. $137,600D. $322,100E. $114,34052.Ben's Border Café is considering a project that will produce sales of $16,000 and increase cashexpenses by $10,000. If the project is implemented, taxes will increase from $23,000 to $24,500 and depreciation will increase from $4,000 to $5,500. What is the amount of the operating cash flow using the top-down approach?A. $4,000B. $4,500C. $6,000D. $7,500E. $8,50053.Camille's Café is considering a project that will not produce any sales but will decrease cashexpenses by $12,000. If the project is implemented, taxes will increase from $23,000 to $24,500 and depreciation will increase from $4,000 to $5,500. What is the amount of the operating cash flow using the top-down approach?A. $15,000B. $10,500C. $5,500D. $17,500E. $13,50054.Ronnie's Coffee House is considering a project which will produce sales of $6,000 and increasecash expenses by $2,500. If the project is implemented, taxes will increase by $1,300. The additional depreciation expense will be $1,000. An initial cash outlay of $2,000 is required for net working capital. What is the amount of the operating cash flow using the top-down approach?A. $200B. $1,500C. $2,200D. $3,500E. $4,20055.A project will increase sales by $60,000 and cash expenses by $51,000. The project will cost$40,000 and will be depreciated using straight-line depreciation to a zero book value over the 4-year life of the project. The company has a marginal tax rate of 35 percent. What is the operating cash flow of the project using the tax shield approach?A. $5,850B. $8,650C. $9,350D. $9,700E. $10,35056.A project will increase sales by $140,000 and cash expenses by $95,000. The project will cost$100,000 and will be depreciated using the straight-line method to a zero book value over the 4-year life of the project. The company has a marginal tax rate of 34 percent. What is the value of the depreciation tax shield?A. $8,500B. $17,000C. $22,500D. $25,000E. $37,75057.Lee's Furniture just purchased $24,000 of fixed assets that are classified as 5-year MACRSproperty. The MACRS rates are 20 percent, 32 percent, 19.2 percent, 11.52 percent, 11.52 percent, and 5.76 percent for Years 1 to 6, respectively. What is the amount of the depreciation expense for the third year?A. $2,304B. $2,507C. $2,765D. $4,608E. $4,80058.Lew just purchased $67,600 of equipment that is classified as 5-year MACRS property. TheMACRS rates are 20 percent, 32 percent, 19.2 percent, 11.52 percent, 11.52 percent, and 5.76 percent for Years 1 to 6, respectively. What will the book value of this equipment be at the end of four years should he decide to resell the equipment at that point in time?A. $11,681.28B. $18,280.20C. $17,040.00D. $19,468.80E. $22,672.0059.Northern Enterprises just purchased $1,900 of fixed assets that are classified as 3-year MACRSproperty. The MACRS rates are 33.33 percent, 44.44 percent, 14.82 percent, and 7.41 percent for Years 1 to 4, respectively. What is the amount of the depreciation expense for Year 2?A. $562.93B. $633.27C. $719.67D. $844.36E. $1,477.6360.The Galley purchased some 3-year MACRS property two years ago at a cost of $19,800. TheMACRS rates are 33.33 percent, 44.44 percent, 14.82 percent, and 7.41 percent. The firm no longer uses this property so is selling it today at a price of $13,500. What is the amount of the pretax profit on the sale?A. $11,140.48B. $9,098.46C. $10,500.00D. $8,016.67E. $10,702.4061.Three years ago, you purchased some 5-year MACRS equipment at a cost of $135,000. TheMACRS rates are 20 percent, 32 percent, 19.2 percent, 11.52 percent, 11.52 percent, and 5.76 percent for Years 1 to 6, respectively. You sold the equipment today for $82,500. Which of these statements is correct if your tax rate is 34 percent?A. T he tax due on the sale is $14,830.80.B. T he book value today is $40,478.C. T he book value today is $37,320.D. T he taxable amount on the sale is $47,380.E. T he tax refund from the sale is $13,219.20.62.Custom Cars purchased some $39,000 of fixed assets two years ago that are classified as 5-yearMACRS property. The MACRS rates are 20 percent, 32 percent, 19.2 percent, 11.52 percent,11.52 percent, and 5.76 percent for Years 1 to 6, respectively. The tax rate is 34 percent. If theassets are sold today for $19,000, what will be the aftertax cash flow from the sale?A. $16,358.88B. $17,909.09C. $18,720.00D. $18,904.80E. $19,000.0063.Winslow Motors purchased $225,000 of MACRS 5-year property. The MACRS rates are 20percent, 32 percent, 19.2 percent, 11.52 percent, 11.52 percent, and 5.76 percent for Years 1 to 6, respectively. The tax rate is 34 percent. If the firm sells the asset after five years for $10,000, what will be the aftertax cash flow from the sale?A. $8,993.60B. $8,880.20C. $11,006.40D. $7,770.40E. $12,892.0064.A project is expected to create operating cash flows of $26,500 a year for four years. The initialcost of the fixed assets is $62,000. These assets will be worthless at the end of the project. An additional $3,000 of net working capital will be required throughout the life of the project. What is the project's net present value if the required rate of return is 12 percent?A. $19,208.11B. $14,028.18C. $15,306.09D. $17,396.31E. $21,954.1765.A project will produce operating cash flows of $45,000 a year for four years. During the life of theproject, inventory will be lowered by $30,000 and accounts receivable will increase by $15,000.Accounts payable will decrease by $10,000. The project requires the purchase of equipment at an initial cost of $120,000. The equipment will be depreciated straight-line to a zero book value over the life of the project. The equipment will be salvaged at the end of the project creating a $25,000 aftertax cash inflow. At the end of the project, net working capital will return to its normal level. What is the net present value of this project given a required return of 15 percent?A. $23,483.48B. $16,117.05C. $24,909.09D. $22,037.86E. $19,876.0266.A project will produce an operating cash flow of $7,300 a year for three years. The initialinvestment for fixed assets will be $11,600, which will be depreciated straight-line to zero over the asset’s 4-year life. The project will require an initial $500 in net working capital plus an additional $500 every year with all net working capital levels restored to their original levels when the project ends. The fixed assets can be sold for an estimated $2,500 at the end of the project, the tax rate is 34 percent, and the required rate of return is 12 percent. What is the net present value of the project?A. $7,532.27B. $9,896.87C. $7,072.72D. $6,353.41E. $8,398.2967.Matty's Place is considering the installation of a new computer system that will cut annualoperating costs by $12,000. The system will cost $42,000 to purchase and install. This system is expected to have a 5-year life and will be depreciated to zero using straight-line depreciation.What is the amount of the earnings before interest and taxes for each year of this project?A. −$20,400B. $5,400C. $3,600D. $12,000E. $8,400。
罗斯《公司理财》英文习题答案DOCchap

30.1 The new corporation issues $300,000 in new debt. The merger creates $100,000 ofgoodwill because the merger is a purchase.Balance SheetLager Brewing(in $ thousands)Current assets $480 Current liabilities $200Other assets 140 Long-term debt 400Net fixed assets 580 Equity 700Goodwill 100Total assets $1,300 Total liabilities $1,300 30.2 If the balance sheet for Philadelphia Pretzel shows assets at book value instead of marketvalue, the goodwill will be only $60,000 (=$300,000 - $240,000). Thus, the net fixed assetsare $620,000 (=$1,300,000 - $480,000 - $140,000 - $60,000).Balance SheetLager Brewing(in $ thousands)Current assets $480 Current liabilities $200Other assets 140 Long-term debt 400Net fixed assets 620 Equity 700Goodwill 60Total assets $1,300 Total liabilities $1,300 30.3Balance SheetLager Brewing(in $ thousands)Current assets $480 Current liabilities $280Other assets 140 Long-term debt 100Net fixed assets 580 Equity 820Total assets $1,200 Total liabilities $1,200 30.4 a. False. Although the reasoning seems correct, the Stillman-Eckbo data do not supportthe monopoly power theory.b. True. When managers act in their own interest, acquisitions are an important controldevice for shareholders. It appears that some acquisitions and takeovers are theconsequence of underlying conflicts between managers and shareholders.c. False. Even if markets are efficient, the presence of synergy will make the value ofthe combined firm different from the sum of the values of the separate firms.Incremental cash flows provide the positive NPV of the transaction.d. False. In an efficient market, traders will value takeovers based on “Fundamentalfactors” regardless of the time horizon. Recall that the evidence as a whole suggestsefficiency in the markets. Mergers should be no different.e. False. The tax effect of an acquisition depends on whether the merger is taxable ornon-taxable. In a taxable merger, there are two opposing factors to consider, thecapital gains effect and the write-up effect. The net effect is the sum of these twoeffects.f. True. Because of the coinsurance effect, wealth might be transferred from thestockholders to the bondholders. Acquisition analysis usually disregards this effectand considers only the total value.30.530.6 a. The weather conditions are independent. Thus, the joint probabilities are theproducts of the individual probabilities.Possible states Joint probabilityRain Rain 0.1 x 0.1=0.01Rain Warm 0.1 x 0.4=0.04Rain Hot 0.1 x 0.5=0.05Warm Rain 0.4 x 0.1=0.04Warm Warm 0.4 x 0.4=0.16Warm Hot 0.4 x 0.5=0.20Hot Rain 0.5 x 0.1=0.05Hot Warm 0.5 x 0.4=0.20Hot Hot 0.5 x 0.5=0.25Since the state Rain Warm has the same outcome (revenue) as Warm Rain, theirprobabilities can be added. The same is true of Rain Hot, Hot Rain and Warm Hot,Hot Warm. Thus the joint probabilities arePossibleJoint probabilitystatesRain Rain 0.01Rain Warm 0.08Rain Hot 0.10Warm Warm 0.16Warm Hot 0.40Hot Hot 0.25The joint values are the sums of the values of the two companies for the particularstate.Possible states Joint valueRain Rain $200,000Rain Warm 300,000Warm Warm 400,000Rain Hot 500,000Warm Hot 600,000Hot Hot 800,000b. Recall, if a firm cannot service its debt, the bondholders receive the value of the assets.Thus, the value of the debt is the value of the company if the face value of the debt isgreater than the value of the company. If the value of the company is greater than the value of the debt, the value of the debt is its face value. Here the value of the common stock is always the residual value of the firm over the value of the debt.Joint Prob. Joint Value Debt Value Stock Value0.01 $200,000 $200,000 $00.08 300,000 300,000 00.16 400,000 400,000 00.10 500,000 400,000 100,0000.40 600,000 400,000 200,0000.25 800,000 400,000 400,000c. To show that the value of the combined firm is the sum of the individual values, youmust show that the expected joint value is equal to the sum of the separate expected values.Expected joint value= 0.01($200,000) + 0.08($300,000) + 0.16($400,000) + 0.10($500,000) +0.40($600,000) + 0.25($800,000)= $580,000Since the firms are identical, the sum of the expected values is twice the expectedvalue of either.Expected individual value = 0.1($100,000) + 0.4($200,000) + 0.5($400,000) = $290,000 Expected combined value = 2($290,000) = $580,000d. The bondholders are better off if the value of the debt after the merger is greater thanthe value of the debt before the merger.Value of the debt before the merger:The value of debt for either company= 0.1($100,000) + 0.4($200,000) + 0.5($200,000) = $190,000Total value of debt before the merger = 2($190,000) = $380,000Value of debt after the merger= 0.01($200,000) + 0.08($300,000) + 0.16($400,000) + 0.10($400,000) +0.40($400,000) +0.25($400,000)= $390,000The bondholders are $10,000 better off after the merger.30.7 The decision hinges upon the risk of surviving. The final decision should hinge on thewealth transfer from bondholders to stockholders when risky projects are undertaken.High-risk projects will reduce the expected value of the bondholders’ claims on the firm.The telecommunications business is riskier than the utilities business. If the total value of the firm does not change, the increase in risk should favor the stockholder. Hence,management should approve this transaction. Note, if the total value of the firm dropsbecause of the transaction and the wealth effect is lower than the reduction in total value, management should reject the project.30.8 If the market is “smart,” the P/E ratio will not be constant.a. Value = $2,500 + $1,000 = $3,500b. EPS = Post-merger earnings / Total number of shares=($100 + $100)/200 =$1c. Price per share = Value/Total number of shares=$3,500/200 =$17.50d. If the market is “fooled,” the P/E ratio will be constant at $25.Value = P/E * Total number of shares= 25 * 200 = $5,000EPS = Post-merger earnings / Total number of shares=$5,000/200 = $25.0030.9 a. After the merger, Arcadia Financial will have 130,000 [=10,000 + (50,000)(6/10)]shares outstanding. The earnings of the combined firm will be $325,000. The earningsper share of the combined firm will be $2.50 (=$325,000/130,000). The acquisition will increase the EPS for the stockholders from $2.25 to $2.50.b. There will be no effect on the original Arcadia stockholders. No synergies exist in thismerger since Arcadia is buying Coldran at its market price. Examining the relativevalues of the two firms sees the latter point.Share price of Arcadia = (16 * $225,000) / 100,000=$36Share price of Coldran = (10.8 * $100,000) / 50,000=$21.60The relative value of these prices is $21.6/$36 = 0.6. Since Coldran’s shareholdersreceive 0.6 shares of Arcadia for every share of Coldran, no synergies exist.30.10 a. The synergy will be the discounted incremental cash flows. Since the cash flows areperpetual, this amount isb. The value of Flash-in-the-Pan to Fly-by-Night is the synergy plus the current marketvalue of Flash-in-the-Pan.V = $7,500,000 + $20,000,000= $27,500,000c. Cash alternative = $15,000,000Stock alternative = 0.25($27,500,000 + $35,000,000)= $15,625,000d. NPV of cash alternative = V - Cost=$27,500,000 - $15,000,000=$12,500,000NPV of stock alternative = V - Cost=$27,500,000 - $15,625,000=$11,875,000e. Use the cash alternative, its NPV is greater.30.11 a. The value of Portland Industries before the merger is $9,000,000 (=750,000x12). Thisvalue is also the discounted value of the expected future dividends.$9,000,000 =r = 0.1025 = 10.25%r is the risk-adjusted discount rate for Portland’s expected future dividends.the value of Portland Industries after the merger isThis is the value of Portland Industries to Freeport.b. NPV = Gain - Cost= $14,815,385 - ($40x250, 000)= $4,815,385c. If Freeport offers stock, the value of Portland Industries to Freeport is the same, but thecost differs.Cost = (Fraction of combined firm owned by Portland’s stockholders)x(Value of the combined firm)Value of the combined firm = (Value of Freeport before merger)+ (Value of Portland to Freeport)= $15x1,000,000 + $14,815,385= $29,815,385Cost = 0.375x$29,815,385= $11,180,769NPV= $14,815,385 - $11,180,769=$3,634,616d. The acquisition should be attempted with a cash offer since it provides a higher NPV.e. The value of Portland Industries after the merger isThis is the value of Portland Industries to Freeport.NPV = Gain-Cost=$11,223,529 - ($40x250,000)=$1,223,529If Freeport offers stock, the value of Portland Industries to Freeport is the same, but the cost differs.Cost = (Fraction of combined firm owned by Portland’s stockholders)x(Value of the combined firm)Value of the combined firm = (Value of Freeport before merger)+ (Value of Portland to Freeport)= $15x1,000,000 + $11,223,529= $26,223,529Cost = 0.375 * $26,223,529=$9,833,823NPV = $11,223,529 - $9,833,823=$1,389,706The acquisition should be attempted with a stock offer since it provides a higher NPV.30.12 a. Number of shares after acquisition=30 + 15 = 45 milStock price of Harrods after acquisition = 1,000/45=22.22 poundsb. Value of Selfridge stockholders after merger:α * 1,000 = 300α = 30%New shares issued = 12.86 mil12.86:20 = 0.643:1The proper exchange ratio should be 0.643 to make the stock offer’s value to Selfridgeequivalent to the cash offer.30.13 To evaluate this proposal, look at the present value of the incremental cash flows.Cash Flows to Company A(in $ million)Year 0 1 2 3 4 5Acquisition of B -550Dividends from B 150 32 5 20 30 45Tax-loss carryforwards 25 25Terminal value 600Total -400 32 30 45 30 645 The additional cash flows from the tax-loss carry forwards and the proposed level of debt should be discounted at the cost of debt because they are determined with very littleuncertainty.The after-tax cash flows are subject to normal business risk and must be discounted at anormal rate.Beta coefficient for the bond = 0.25 = [(8%-6%)/8%].Beta coefficient for the company = 1 = [(0.25)2 + (1.25)(0.75)]Discount rate for normal operations:r = 6% + 8% (1) = 14%Discount rate for dividends:The new beta coefficient for the company, 1, must be the weighted average of the debtbeta and the stock beta.1 = 0.5(0.25) + 0.5(βs)βs = 1.75r = 6% + 8%(1.75) = 20%Because the NPV of the acquisition is negative, Company A should not acquireCompany B.30.14 The commonly used defensive tactics by target-firm managers include:i. corporate charter amendments like super-majority amendment or staggering theelection of board members.ii. repurchase standstill agreements.iii. exclusionary self-tenders.iv. going private and leveraged buyouts.v. other devices like golden parachutes, scorched earth strategy, poison pill, ..., etc.Mini Case: U.S.Steel’s case.You have 3 choices: tender, or do not tender or sell in the market. If you do sell your shares in the market, at some point, somebody else would need to make a decision in “tender” or “not tender” as well.It is important to recognize that the firm has about 60 million shares outstanding (since 30 million shares will give US Steel 50.1% of Marathon shares). Let’s consider the possible sellingthe market price.If you choose not to tender, and 30 million shares were tendered US Steel succeeds to gain50.1% control, you will only receive $85 a share. If you do tender, the price you will receive will be no worse than $85 a share and can be as high as $125 a share. Depending on the number of shares tendered, you will receive one of the following prices.If only 50.1% tendered, you will get $125 per share.If the shares tendered exceed 50.1% but less than 100%, you will get more than $105 ashare.If all 60 million shares were tendered, you will get $105 per share. (which is )It is clear that, in the above 3 cases, when you are not sure about whether US Steel will succeed or not, you will be better off to tender your shares than not tender. This is because at best, you will only receive $85 per share if you choose not to tender.版权申明本文部分内容,包括文字、图片、以及设计等在网上搜集整理。
罗斯公司理财第六版习题答案第5章

Concept Questions◆Define pure discount bonds, level-coupon bonds, and consols.A pure discount bond is one that makes no intervening interest payments. One receives a single lump sum payment at maturity. A level-coupon bond is a combination of an annuity and a lump sum at maturity. A consol is a bond that makes interest payments forever.◆Contrast the state interest rate and the effective annual interest rate for bonds paying semi-annual interest. Effective annual interest rate on a bond takes into account two periods of compounding per year received on the coupon payments. The state rate does not take this into account.◆What is the relationship between interest rates and bond prices?There is an inverse relationship. When one goes up, the other goes down.◆How does one calculate the yield to maturity on a bond?One finds the discount rate that equates the promised future cash flows with the price of the bond.◆What are the three factors determining a firm's P/E ratio?Today's expectations of future growth opportunities.The discount rate.The accounting method.◆What is the closing price of General Data?The closing price of General Data is 6 3/16.◆What is the PE of General House?The PE of General House is 29.◆What is the annual dividend of General Host?The annual dividend of General Host is zero.Concept Questions- Appendix To Chapter 5◆What is the difference between a spot interest rate and the yield to maturity?The yield to maturity is the geometric average of the spot rates during the life of the bond.◆Define the forward rate.Given a one-year bond and a two-year bond, one knows the spot rates for both. The forward rate is the rate of return implicit on a one-year bond purchased in the second year that would equate the terminal wealth of purchasing the one-year bond today and another in one year with that of the two-year bond.◆What is the relationship between the one-year spot rate, the two-year spot rate and the forward rate over the second year?The forward rate f2 = [(1+r2)2 /(1+r1 )] - 1◆What is the expectation hypothesis?Investors set interest rates such that the forward rate over a given period equals the spot rate for that period.◆What is the liquidity-preference hypothesis?This hypothesis maintains that investors require a risk premium for holding longer-term bonds (i.e. they prefer to be liquid or short-term investors). This implies that the market sets the forward rate for a given period above the expected spot rate for that period.Questions And ProblemsHow to Value Bonds5.1 What is the present value of a 10-year, pure discount bond that pays $1,000 at maturity andis priced to yield the following rates?a. 5 percentb. 10 percentc. 15 percentSolutions a. $1,000 / 1.0510 = $613.91b. $1,000 / 1.1010 = $385.54c. $1,000 / 1.1510 = $247.185.2 Microhard has issued a bond with the following characteristics:Principal: $1,000Term to maturity: 20 yearsCoupon rate: 8 percentSemiannual paymentsCalculate the price of the Microhard bond if the stated annual interest rate is:a. 8 percentb. 10 percentc. 6 percentSolutions The amount of the semi-annual interest payment is $40 (=$1,000 ⨯ 0.08 / 2). There are a total of 40 periods; i.e., two half years in each of the twenty years in the term to maturity.The annuity factor tables can be used to price these bonds. The appropriate discount rate touse is the semi-annual rate. That rate is simply the annual rate divided by two. Thus, for part b the rate to be used is 5% and for part c is it 3%.a. $40 (19.7928) + $1,000 / 1.0440 = $1,000Notice that whenever the coupon rate and the market rate are the same, the bond ispriced at par.b. $40 (17.1591) + $1,000 / 1.0540 = $828.41Notice that whenever the coupon rate is below the market rate, the bond is pricedbelow par.c. $40 (23.1148) + $1,000 / 1.0340 = $1,231.15Notice that whenever the coupon rate is above the market rate, the bond is pricedabove par.5.3 Consider a bond with a face value of $1,000. The coupon is paid semiannually and themarket interest rate (effective annual interest rate) is 12 percent. How much would you payfor the bond ifa. the coupon rate is 8 percent and the remaining time to maturity is 20 years?b. the coupon rate is 10 percent and the remaining time to maturity is 15 years?Solutions Semi-annual discount factor = (1.12)1/2 - 1 = 0.05830 = 5.83%a. Price = $40400583.0A+ $1,000 / 1.058340= $614.98 + $103.67= $718.65b. Price = $50300583.0A+ $1,000 / 1.058330= $700.94 + $182.70 = $883.645.4 Pettit Trucking has issued an 8-percent, 20-year bond that pays interest semiannually. If themarket prices the bond to yield an effective annual rate of 10 percent, what is the price ofthe bond? Solutions Effective annual rate of 10%:Semi-annual discount factor = (1.1)0.5 - 1 = 0.04881 = 4.881%Price = $404004881.0A+ $1,000 / 1.0488140= $846.335.5 A bond is sold at $923.14 (below its par value of $1,000). The bond has 15 years tomaturity and investors require a 10-percent yield on the bond. What is the coupon rate forthe bond if the coupon is paid semiannually?Solutions $923.14 = C3005.0A+ $1,000 / 1.0530= (15.37245) C + $231.38C = $45The annual coupon rate = $45 ⨯ 2 / $1,000 = 0.09 = 9%5.6 You have just purchased a newly issued $1,000 five-year Vanguard Company bond at par.This five-year bond pays $60 in interest semiannually. You are also considering the purchaseof another Vanguard Company bond that returns $30 in semiannual interest payments andhas six years remaining before it matures. This bond has a face value of $1,000.a. What is effective annual return on the five-year bond?b. Assume that the rate you calculated in part (a) is the correct rate for the bond with sixyears remaining before it matures. What should you be willing to pay for that bond?c. How will your answer to part (b) change if the five-year bond pays $40 in semiannualinterest? Solutionsa. The semi-annual interest rate is $60 / $1,000 = 0.06. Thus, the effective annual rate is 1.062 - 1 =0.1236 = 12.36%.b. Price = $301206.0A+ $1,000 / 1.0612= $748.48c. Price = $301204.0A+ $1,000 / 1.0412= $906.15Note: In parts b and c we are implicitly assuming that the yield curve is flat. That is, the yield in year 5 applies for year 6 as well.Bond Concepts5.7 Consider two bonds, bond A and bond B, with equal rates of 10 percent and the same facevalues of $1,000. The coupons are paid annually for both bonds. Bond A has 20 years tomaturity while bond B has10 years to maturity.a. What are the prices of the two bonds if the relevant market interest rate is 10 percent?b. If the market interest rate increases to 12 percent, what will be the prices of the two bonds?c. If the market interest rate decreases to 8 percent, what will be the prices of the two bonds? Solutionsa. PA = $1002010.0A+ $1,000 / 1.1020 = $1,000PB = $1001010.0A+ $1,000 / 1.1010 = $1,000b. PA = $1002012.0A+ $1,000 / 1.1220 = $850.61PB = $1001012.0A+ $1,000 / 1.1210 = $887.00c. PA = $1002008.0A+ $1,000 / 1.0820 = $1,196.36PB = $1001008.0A+ $1,000 / 1.0810 = $1,134.205.8 a. If the market interest rate (the required rate of return that investors demand)unexpectedly increases, what effect would you expect this increase to have on theprices of long-term bonds? Why?b. What would be the effect of the rise in the interest rate on the general level of stockprices? Why? Solutionsa. The price of long-term bonds should fall. The price is the PV of the cash flowsassociated with the bond. As the interest rate rises, the PV of those flows falls.This can be easily seen by looking at a one-year, pure discount bond.Price = $1,000 / (1 + i)As i. increases, the denominator rises. This increase causes the price to fall.b. The effect upon stocks is not as certain as that upon the bonds. The nominalinterest rate is a function of both the real interest rate and the inflation rate; i.e.,(1 + i) = (1 + r) (1 + inflation)From this relationship it is easy to conclude that as inflation rises, the nominal interest rate rises. Stock prices are a function of dividends and future prices as well as the interest rate. Those dividends and future prices are determined by the earning power of the firm. When inflation occurs, it may increase or decrease firm earnings. Thus, the effect of a rise in the level of general prices upon the level of stock prices is uncertain.5.9 Consider a bond that pays an $80 coupon annually and has a face value of $1,000.Calculate the yield to maturity if the bond hasa. 20 years remaining to maturity and it is sold at $1,200.b. 10 years remaining to maturity and it is sold at $950.Solutions a. $1,200 = $8020rA+ $1,000 / (1 + r)20r = 0.0622 = 6.22%b. $950 = $8010rA+ $1,000 / (1 + r)10r = 0.0877 = 8.77%5.10 The Sue Fleming Corporation has two different bonds currently outstanding. Bond A has aface value of $40,000 and matures in 20 years. The bond makes no payments for the firstsix years and then pays $2,000 semiannually for the subsequent eight years, and finallypays $2,500 semiannually for the last six years. Bond B also has a face value of $40,000and a maturity of 20 years; it makes no coupon payments over the life of the bond. If therequired rate of return is 12 percent compounded semiannually, what is the current price ofBond A? of Bond B?Solutions PA = ($2,0001606.0A) / (1.06)12 + ($2,5001206.0A) / (1.06)28 + $40,000 / (1.06)40= $18,033.86PB = $ 40,000 / (1.06)40 = $3,888.89The Present Value of Common Stocks5.11 Use the following February 11, 2000, WSJ quotation for AT&T Corp. Which of thefollowing statements is false?a. The closing price of the bond with the shortest time to maturity was $1,000.b. The annual coupon for the bond maturing in year 2016 is $90.00.c. The price on the day before this quotation (i.e., February 9) for the ATT bond maturingin year 2022 was $1.075 per bond contract.d. The current yield on the ATT bond maturing in year 2002 was 7.125%e. The ATT bond maturing in year 2002 has a yield to maturity less than 7.125%.Bonds Cur Yld Vol Close Net ChgATT 9s 16 ? 10 117 _ 1/4ATT 5 1/8 01 ? 5 100 _ 3/4ATT 7 1/8 02 ? 193 104 1/8 _ 1/4ATT 8 1/8 22 ? 39 107 3/8 _ 1/8Solutions a. TrueTrueFalseFalseTrue5.12 Following are selected quotations for New York Exchange Bonds from the Wall StreetJournal. Which of the following statements about Wilson’s bond is false?a. The bond maturing in year 2000 has a yield to maturity greater than 63⁄8%.b. The closing price of the bond with the shortest time to maturity on the day before thisquotation was $1,003.25.c. This annual coupon for the bond maturing in year 2013 is $75.00.d. The current yield on the Wilson’s bond with the longest time to maturity was 7.29%.e. None of the above.Quotations as of 4 P.M. Eastern TimeFriday, April 23, 1999Bonds Current Yield Vol Close NetWILSON 6 3/8 99 ? 76 100 3/8 _ 1/8WILSON 6 3/8 00 ? 9 98 1/2WILSON 7 1/4 02 ? 39 103 5/8 1/8WILSON 7 1/2 13 ? 225 102 7/8 _ 1/8Solutions a. TrueFalseTrueTrueFalse5.13 A common stock pays a current dividend of $2. The dividend is expected to grow at an8-percent annual rate for the next three years; then it will grow at 4 percent in perpetuity.The appropriate discount rate is 12 percent. What is the price of this stock?Solutions Price = $2 (1.08) / 1.12 + $2 (1.082) / 1.122 + $2 (1.083) / 1.123+ {$2 (1.083) (1.04) / (0.12 - 0.04)} / 1.123= $28.895.14 Use the following February 12, 1998, WSJ quotation for Merck & Co. to answer the nextquestion. 52 Weeks Yld Vol NetHi Lo Stock Sym Div % PE 100s Hi Lo Close Chg120. 80.19 Merck MRK 1.80 ? 30 195111 115.9 114.5 115 _1.25Which of the following statements is false?a. The dividend yield was about 1.6%.b. The 52 weeks’ trading range was $39.81.c. The closing price per share on February 10, 1998, was $113.75.d. The closing price per share on February 11, 1998, was $115.e. The earnings per share were about $3.83.Solutions a. FalseTrueFalseFalseTrue5.15 Use the following stock quote.52 Weeks Yld Vol NetHi Lo Stock Sym Div % PE 100s Hi Lo Close Chg126.25 72.50 Citigroup CCI 1.30 1.32 16 20925 98.4 97.8 98.13 _.13The expected growth rate in Citigroup’s dividends is 7% a year. Suppose you use thediscounted dividend model to price Citigroup’s shares. The constant growth dividendmodel would suggest that the required return on the Citigroup’s stock is what?98.125 = 1.30 ( 1.07) / r - 0.07r = 8.4175 %5.16 You own $100,000 worth of Smart Money stock. At the end of the first year you receive adividend of $2 per share; at the end of year 2 you receive a $4 dividend. At the end of year3 you sell the stock for $50 per share. Only ordinary (dividend) income is taxed at the rateof 28 percent. Taxes are paid at the time dividends are received. The required rate of returnis 15 percent. How many shares of stock do you own? Solutions Price = $2 (0.72) / 1.15 + $4 (0.72) / 1.152 + $50 / 1.153= $36.31The number of shares you own = $100,000 / $36.31 = 2,754 shares5.17 Consider the stock of Davidson Company that will pay an annual dividend of $2 in thecoming year. The dividend is expected to grow at a constant rate of 5 percent permanently.The market requires a 12-percent return on the company.a. What is the current price of a share of the stock?b. What will the stock price be 10 years from today?Solutionsa. P = $2 / (0.12 - 0.05) = $28.57b. P10 = D11 / (r - g)= $2 (1.0510) / (0.12 - 0.05) = $46.545.18 Easy Type, Inc., is one of a myriad of companies selling word processor programs.Their newest program will cost $5 million to develop. First-year net cash flows will be$2 million. As a result of competition, profits will fall by 2 percent each year thereafter.All cash inflows will occur at year-end. If the market discount rate is 14 percent, what isthe value of this new program?SolutionsValue = -$5,000,000 + $2,000,000 / {0.14 - (-0.02)}= $7,500,0005.19 Whizzkids, Inc., is experiencing a period of rapid growth. Earnings and dividends pershare are expected to grow at a rate of 18 percent during the next two years, 15 percent inthe third year, and at a constant rate of 6 percent thereafter. Whizzkids’ last dividend,which has just been paid, was $1.15. If the required rate of return on the stock is 12percent, what is the price of a share of the stock today?SolutionsPrice = $1.15 (1.18) / 1.12 + $1.15 (1.182) / 1.122 + $1.152 (1.182) / 1.123+ {$1.152 (1.182) (1.06) / (0.12 - 0.06)} / 1.123= $26.955.20 Allen, Inc., is expected to pay an equal amount of dividends at the end of the first twoyears. Thereafter, the dividend will grow at a constant rate of 4 percent indefinitely. Thestock is currently traded at $30. What is the expected dividend per share for the next yearif the required rate of return is 12 percent?Solutions$30 = D / 1.12 + D / 1.122 + {D (1 + 0.04) / (0.12 - 0.04)} / 1.122= 12.053571 DD = $2.495.21 Calamity Mining Company’s reserves of ore are being depleted, and its costs ofrecovering a declining quantity of ore are rising each year. As a result, the company’searnings are declining at the rate of 10 percent per year. If the dividend per share that isabout to be paid is $5 and the required rate of return is 14 percent, what is the value of thefirm’s stock?SolutionsDividend one year from now = $5 (1 - 0.10) = $4.50Price = $5 + $4.50 / {0.14 - (-0.10)} = $23.75Since the current $5 dividend has not yet been paid, it is still included in the stock price.5.22 The Highest Potential, Inc., will pay a quarterly dividend per share of $1 at the end of eachof the next 12 quarters. Subsequently, the dividend will grow at a quarterly rate of 0.5percent indefinitely. The appropriate rate of return on the stock is 10 percent. What is thecurrent stock price?Estimates of Parameters in the Dividend-Discount ModelSolutionsPrice = $112025.0A+ {$1 (1 + 0.005) / (0.025 - 0.005)} / 1.02512= $10.26 + $37.36= $47.625.23 The newspaper reported last week that Bradley Enterprises earned $20 million. The reportalso stated that the firm’s return on equity remains on its historical trend of 14 percent.Bradley retains 60 percent of its earnings. What is the firm’s growth rate of earnings?What will next year’s earnings be?SolutionsGrowth rate g = 0.6 ⨯ 0.14 = 0.084 = 8.4%Next year earnings = $20 million ⨯ 1.084 = $21.68 million5.24 Von Neumann Enterprises has just reported earnings of $10 million, and it plans to retain 75percent of its earnings. The company has 1.25 million shares of common stock outstanding.The stock is selling at $30. The historical return on equity (ROE) of 12 percent is expectedto continue in the future. What is the required rate of return on the stock?Growth Opportunitiesg = retention ratio ⨯ ROE = 0.75 ⨯ 0.12= 0.09 = 9%Dividend per share = $10 million ⨯ (1 - 0.75) / 1.25 million= $2The required rate of return = $2 (1.09) / $30 + 0.09= 0.1627 = 16.27%5.25 Rite Bite Enterprises sells toothpicks. Gross revenues last year were $3 million, and totalcosts were $1.5 million. Rite Bite has 1 million shares of common stock outstanding.Gross revenues and costs are expected to grow at 5 percent per year. Rite Bite pays noincome taxes, and all earnings are paid out as dividends.a. If the appropriate discount rate is 15 percent and all cash flows are received at year’send, what is the price per share of Rite Bite stock?b. The president of Rite Bite decided to begin a program to produce toothbrushes. Theproject requires an immediate outlay of $15 million. In one year, another outlay of$5 million will be needed. The year after that, net cash inflows will be $6 million. Thisprofit level will be maintained in perpetuity. What effect will undertaking this projecthave on the price per share of the stock?Solutionsa. Price = ($3 - $1.5) ⨯ 1.05 / (0.15 - 0.05)= $15.75b. NPVGO = -$15,000,000 - $5,000,000 / 1.15 + ($6,000,000 / 0.15) / 1.15= $15,434,783The price increases by $15.43 per share.5.26 California Electronics, Inc., expects to earn $100 million per year in perpetuity if it doesnot undertake any new projects. The firm has an opportunity that requires an investment of$15 million today and $5 million in one year. The new investment will begin to generateadditional annual earnings of $10 million two years from today in perpetuity. The firm has20 million shares of common stock outstanding, and the required rate of return on thestock is 15 percent.a. What is the price of a share of the stock if the firm does not undertake the new project?b. What is the value of the growth opportunities resulting from the new project?c. What is the price of a share of the stock if the firm undertakes the new project?Solutionsa. Price = EPS / r = {$100 million / 20 million} / 0.15= $33.33b. NPV = -$15 million - $5 million / 1.15 + ($10 million / 0.15) / 1.15= $38,623,188c. Price = $33.33 + $38,623,188 / 20,000,000= $35.265.27 Suppose Smithfield Foods, Inc., has just paid a dividend of $1.40 per share. Sales andprofits for Smithfield Foods are expected to grow at a rate of 5% per year. Its dividend isexpected to grow by the same rate. If the required return is 10%, what is the value of ashare of Smithfield Foods?SolutionsPrice = 1.40 (1.05) / 0.10 - 0.05Price = $29.405.28 In order to buy back its own shares, Pennzoil Co. has decided to suspend its dividends forthe next two years. It will resume its annual cash dividend of $2.00 a share 3 years fromnow. This level of dividendswill be maintained for one more year. Thereafter, Pennzoil isexpected to increase its cash dividend payments by an annual growth rate of 6% per yearforever. The required rate of return on Pennzoil’s stock is 16%. According to thediscounted dividend model, what should Pennzoil’s current share price be? SolutionsPrice = 2 / (1.16) 3 + 2 / (1.16)4 + 2.12 / 0.16 - 0.06= 1.28 + 1.10 + 21.20= $23.585.29 Four years ago, Ultramar Diamond Inc. paid a dividend of $0.80 per share. This yearUltramar paid a dividend of $1.66 per share. It is expected that the company will paydividends growing at the same rate for the next 5 years. Thereafter, the growth rate willlevel at 8% per year. The required return on this stock is 18%. According to the discounteddividend model, what would Ultramar’s cash dividend be in 7 years?a. $2.86c. $3.68d. $4.30e. $4.82Solutionsa. g = 0.4 ⨯ 0.15 = 0.06 = 6%b. Dividend per share = $1.5 million ⨯ 0.6 / 300,000= $3Price = $3 (1.06) / (0.13 - 0.06)= $45.43c. Assuming the additional earnings generated are all paid out as cash dividends.NPV = -$1.2 million + $0.3 million {1 / (0.13 - 0.10)} {1 - (1.10 / 1.13)10}= $1,159,136.93d. Price = $45.43 + $1,159,136.93 / 300,000= $49.295.30 The Webster Co. has just paid a dividend of $5.25 per share. The company will increase itsdividend by 15 percent next year and will then reduce its dividend growth by 3 percenteach year until it reaches the industry average of 5 percent growth, after which thecompany will keep a constant growth, forever. The required rate of return for the WebsterCo. is 14 percent. What will a share of stock sell for?SolutionsPrice = 3 / 1.15 + 4.5 / ( 1.15)2 + 4.725 / 0.15- 0.05= 2.61 + 3.40 + 47.52= $53.535.31 Consider Pacific Energy Company and U.S. Bluechips, Inc., both of which reported recentearnings of $800,000 and have 500,000 shares of common stock outstanding. Assume bothfirms have the same required rate of return of 15 percent a year.a. Pacific Energy Company has a new project that will generate cash flows of $100,000each year in perpetuity. Calculate the P/E ratio of the company.Chapter 5 How to Value Bonds and Stocks 129b. U.S. Bluechips has a new project that will increase earnings by $200,000 in the comingyear. The increased earnings will grow at 10 percent a year in perpetuity. Calculate theP/E ratio of the firm. Solutionsa. P/E of Pacific Energy Company:EPS = ($800,000 / 500,000) = $1.6NPVGO = {$100,000 / 500,000} / 0.15 = $1.33P/E = 1 / 0.15 + 1.33 / 1.6 = 7.50b. P/E of U. S. Bluechips, Inc.:NPVGO = {$200,000 / 500,000} / (0.15 - 0.10) = $8P/E = 1 / 0.15 + 8 / 1.6 = 11.675.32 (Challenge Question) Lewin Skis Inc. (today) expects to earn $4.00 per share for each ofthe future operating periods (beginning at time 1) if the firm makes no new investments(and returns the earnings as dividends to the shareholders). However, Clint Williams,President and CEO, has discovered an opportunity to retain (and invest) 25% of theearnings beginning three years from today (starting at time 3). This opportunity to investwill continue (for each period) indefinitely. He expects to earn 40% (per year) on this newequity investment (ROE of 40), the return beginning one year after each investment ismade. The firm’s equity discount rate is 14% throughout.a. What is the price per share (now at time 0) of Lewin Skis Inc. stock without making thenew investment?b. If the new investment is expected to be made, per the preceding information, whatwould the value of the stock (per share) be now (at time 0)?c. What is the expected capital gain yield for the second period, assuming the proposedinvestment is made? What is the expected capital gain yield for the second period if theproposed investment is not made?d. What is the expected dividend yield for the second period if the new investment ismade? What is the expected dividend yield for the second period if the new investmentis not made?Solutionsa. Price = $4 / 0.14 = $28.57Price = 28.57 + (-1 + 0.40 / 0.14) / 0.04(1.14) 3= 28.57 + 31.33The expected return of 14% less the dividend yield of 5% providesa capital gain yield of 9%. If there is no investment the yield is 14%.$3 / $59.90 = .05 and $4 / $28.57 = .14 without the investment.Appendix to Chapter 5Questions And ProblemsA.1 The appropriate discount rate for cash flows received one year from today is 10 percent. Theappropriate annual discount rate for cash flows received two years from today is 11 percent.a. What is the price of a two-year bond that pays an annual coupon of 6 percent?b. What is the yield to maturity of this bond?Solutionsa. P = $60 / 1.10 + $1,060 / (1.11)2= $54.55 + $ 860.32= $914.87$914.87 = $60 / ( 1 + y ) + $1,060 / ( 1 + y )2y = YTM = 10.97%A.2 The one-year spot rate equals 10 percent and the two-year spot rate equals 8 percent. Whatshould a 5-percent coupon two-year bond cost?SolutionsP = $50 / 1.10 + $1,050 / (1.08)2= $45.45 + $900.21= $945.66A.3 If the one-year spot rate is 9 percent and the two-year spot rate is 10 percent, what is theforward rate? Solutions ( 1 + r1 )( 1 + ƒ2 ) = ( 1 + r2 )2( 1.09 ) ( 1 + ƒ2 ) = ( 1.10 )2ƒ2 = .1101A.4 Assume the following spot rates:Maturity Spot Rates (%)1 52 73 10What are the forward rates over each of the three years?Solutions( 1 + r2 )2 = ( 1+ r1 ) ( 1 + ƒ2 )( 1.07 )2 = ( 1.05 )( 1 + ƒ2 )ƒ2 = .0904, one-year forward rate over the 2nd year is 9.04%.( 1 + r3 )3 = ( 1 + r2 )2 ( 1 + ƒ3 )( 1.10 )3 = ( 1.07 )2 ( 1 + ƒ3 )ƒ3 = .1625, one-year forward rate over the 3rd year is 16.25%.。
罗斯《公司理财》英文习题答案DOCchap019

公司理财习题答案第十九章Chapter 19: Issuing Equity Securities to the Public19.1 a. A general cash offer is a public issue of a security that is sold to all interestedinvestors. A general cash offer is not restricted to current stockholders.b. A rights offer is an issuance that gives the current stockholders the opportunity tomaintain a proportionate ownership of the company. The shares are offered to thecurrent shareholders before they are offered to the general public.c. A registration statement is the filing with the SEC, which discloses all pertinentinformation concerning the corporation that wants to make a public offering.d. A prospectus is the legal document that must be given to every investor whocontemplates purchasing registered securities in a public offering. The prospectusdescribes the details of the company and the particular issue.e. An initial public offering (IPO) is the original sale of a company’s securities to thepublic. An IPO is also called an unseasoned issue.f. A seasoned new issue is a new issue of stock after the company’s securities havepreviously been publicly traded.g. Shelf registration is an SEC procedure, which allows a firm to file a masterregistration statement summarizing the planned financing for a two year period.The firm files short forms whenever it wishes to sell any of the approved masterregistration securities during the two year period.19.2 a. The Securities Exchange Act of 1933 regulates the trading of new, unseasonedsecurities.b. The Securities Exchange Act of 1934 regulates the trading of seasoned securities.This act regulates trading in what is called the secondary market.19.3 Competitive offer and negotiated offer are two methods to select investment bankers forunderwriting. Under the competitive offers, the issuing firm can award its securities to the underwriter with the highest bid, which in turn implies the lowest cost. On the other hand, in negotiated deals, underwriter gains much information about the issuing firm throughnegotiation, which helps increase the possibility of a successful offering.19.4 a. Firm commitment underwriting is an underwriting in which an investment bankingfirm commits to buy the entire issue. It will then sell the shares to the public. Theinvestment banking firm assumes all financial responsibility for any unsold shares.b. A syndicate is a group of investment banking companies that agree to cooperate in ajoint venture to underwrite an offering of securities.c. The spread is the difference between the underwriter’s buying price and the offeringprice. The spread is a fee for the services of the underwriting syndicate.d. Best efforts underwriting is an offering in which the underwriter agrees to distributeas much of the offering as possible. Any unsold portions of the offering are returnedto the issuing firm.19.5 a. The risk in a firm commitment underwriting is borne by the underwriter(s). Thesyndicate agrees to purchase all of an offering. Then they sell as much of it aspossible. Any unsold shares remain the responsibility of the underwriter(s). Therisk that the security’s price may become unfavorable also lies with theunderwriter(s).b. The issuing firm bears the risk in a best efforts underwriting. The underwriter(s)agrees to make its best effort to sell the securities for the firm. Any unsoldsecurities are the responsibility of the firm.19.6 In general, the new price per share after the offering is:P = (market value + proceeds from offering) / total number of sharesi. At $40 P = ($400,000 + ($40 x 5,000)) / 15,000 =$40ii. At $20 P = ($400,000 + ($20 x 5,000)) / 15,000 = $33.33iii. At $10 P = ($400,000 + ($10 x 5,000)) / 15,000 = $3019.7 The poor performance result should not surprise the professor. Since he subscribed to everyinitial public offering, he was bound to get fewer superior performers and more poorperformers. Financial analysts studied the companies and separated the bad prospects from the good ones. The analysts invested in only the good prospects. These issues becameoversubscribed. Since these good prospects were oversubscribed, the professor received a limited amount of stock from them. The poor prospects were probably under-subscribed, so he received as much of their stock as he desired. The result was that his performance was below average because the weight on the poor performers in his portfolio was greater than the weight on the superio r performers. This result is called the winner’s curse. The professor “won” the shares, but his bane was that the shares he “won” were poorperformers.19.8 There are two possible reasons for stock price drops on the announcement of a new equityissue:i. M anagement may attempt to issue new shares of stock when the stock is over-valued, that is, the intrinsic value is lower than the market price. The price drop isthe result of the downward adjustment of the overvaluation.ii. W ith the increase of financial distress possibility, the firm is more likely to raise capital through equity than debt. The market price drops because it interprets theequity issue announcement as bad news.19.9 The costs of new issues include underwriter’s spread, direct and indirect expenses, negativeabnormal returns associated with the equity offer announcement, under-pricing, and green-shoe option.19.10 a. $12,000,000/$15 = 800,000b. 2,400,000/800,000 = 3c. The shareholders must remit $15 and three rights for each share of new stock theywish to purchase.19.11 a. In general, the ex-rights price isP = (Market value + Proceeds from offering) / Total number of sharesP = ($25 x 100,000 + $20 x 10,000) / (100,000 + 10,000) = $24.55b. The value of a right is the difference between the rights-on price of the stock andthe ex-rights price of the stock. The value of a right is $0.45 (=$25 - $24.55).Alternative solution:The value of a right can also be computed as:(Ex-rights price - Subscription price) / Number of rights required to buy a share ofstockValue of a right = ($24.55 - $20) / 10 = $0.45c. The market value of the firm after the issue is the number of shares times the ex-rights price.Value = 110,000 x $24.55 $2,700,000 (Note that the exact ex-rights price is$24.5454.)公司理财习题答案第十九章d. The most important reason to offer rights is to reduce issuance costs. Also, rightsofferings do not dilute ownership and they provide shareholders with moreflexibility. Shareholders can either exercise or sell their rights.19.12 The value of a right = $50 - $45 = $5The number of new shares = $5,000,000 / $25 = 200,000The number of rights / share = ($45 - $25) / $5 = 4The number of old shares = 200,000 x 4 = 800,00019.13 a. Assume you hold three shares of the company’s stock. The value of your holdingsbefore you exercise your rights is 3 x $45 = $135. When you exercise, you mustremit the three rights you receive for owning three shares, and ten dollars. You haveincreased your equity investment by $10. The value of your holdings is $135 + $10= $145. After exercise, you own four shares of stock. Thus, the price per share ofyour stock is $145 / 4 = $36.25.b. The value of a right is the difference between the rights-on price of the stock andthe ex-rights price of the stock. The value of a right is $8.75 (=$45 - $36.25).c. The price drop will occur on the ex-rights date. Although the ex-rights date isneither the expiration date nor the date on which the rights are first exercisable, it isthe day that the price will drop. If you purchase the stock before the ex-rights date,you will receive the rights. If you purchase the stock on or after the ex-rights date,you will not receive the rights. Since rights have value, the stockholder receivingthe rights must pay for them. The stock price drop on the ex-rights day is similar tothe stock price drop on an ex-dividend day.19.14 a. Stock price (ex-right) = (13+2) / (1+0.5) = $10Subscription price = 2 / 0.5 = $4Right’s price = 13-10 = $3= (10-4) / 2 = $3b. Stock price (ex-right) = (13+2) / (1+0.25) = $12Subscription price = 2 / 0.25 = $8Right’s price = 13-12 = $1= (12-8) / 4 = $1c. The stockholders’ wealth is the same between the two arrangements.19.15 If the interest of management is to increase the wealth of the current shareholders, a rightsoffering may be preferable because issuing costs as a percentage of capital raised is lower for rights offerings. Management does not have to worry about underpricing becauseshareholders get the rights, which are worth something. Rights offerings also preventexisting shareholders from losing proportionate ownership control. Finally, whether the shareholders exercise or sell their rights, they are the only beneficiaries.19.16 Reasons for shelf registration include:i. Flexibility in raising money only when necessary without incurring additional issuancecosts.ii. As Bhagat, Marr and Thompson showed, shelf registration is less costly than conventional underwritten issues.iii. Issuance of securities is greatly simplified.19.17 Suppliers of venture capital can include:i. Wealthy families / individuals.ii. Investment funds provided by a number of private partnerships and corporations.iii. Venture capital subsidiaries established by large industrial or financial corporations.iv. “Angels” in an informal venture capital market.19.18 The proceeds from IPO are used to:i. exchange inside equity ownership for outside equity ownershipii. finance the present and future operations of the IPO firms.19.19 Basic empirical regularities in IPOs include:i. underpricing of the offer price,ii. best-efforts offerings are generally used for small IPOs and firm-commitment offerings are generally used for large IPOs,iii. the underwriter price stabilization of the after market and,iv. that issuing costs are higher in negotiated deals than in competitive ones.。
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Chapter 2: Accounting Statements and Cash Flow 2.1
Assets
Current assets
Cash $ 4,000
Accounts receivable 8,000
Total current assets $ 12,000
Fixed assets
Machinery $ 34,000
Patents 82,000
Total fixed assets $116,000
Total assets $128,000
Liabilities and equity
Current liabilities
Accounts payable $ 6,000
Taxes payable 2,000
Total current liabilities $ 8,000
Long-term liabilities
Bonds payable $7,000
Stockholders equity
Common stock ($100 par) $ 88,000
Capital surplus 19,000
Retained earnings 6,000
Total stockholders equity $113,000
Total liabilities and equity $128,000
2.2
One year ago Today Long-term debt $50,000,000 $50,000,000
Preferred stock 30,000,000 30,000,000
Common stock 100,000,000 110,000,000
Retained earnings 20,000,000 22,000,000
Total $200,000,000 $212,000,000
2.3
Income Statement
$500,000 Less: Cost of goods sold $200,000
Administrative expenses 100,000 300,000
Earnings before interest and taxes $200,000
Less: Interest expense 50,000
Earnings before Taxes $150,000
Taxes 51,000
Net income $99,000
a.
Income Statement
The Flying Lion Corporation
19X1 19X2
Net sales $800,000 $500,000
Cost of goods sold (560,000) (320,000)
Operating expenses (75,000) (56,000)
Depreciation (300,000) (200,000)
Earnings before taxes $(135,000) $(76,000)
Taxes* 40,500 22,800
Net income $(94,500) $(53,200)
* The problem states that Flying Lion has other profitable operations. Flying Lion can take advantage of tax losses by deducting the tax liabilities in the other operations that have
taxable profits. If Flying Lion did not have other operations and tax losses could not be
carried forward or backward, then taxes in each of these years would have been zero.
b. C ash flow during 19X2 = -$94,500 + $300,000 = $205,500
Cash flow during 19X1 = -$53,200 + $200,000 = $146,800
2.5 The main difference between accounting profit and cash flow is that non-cash costs, such as
depreciation expense, are included in accounting profits. Cash flows do not consider costs that do not represent actual expenditures. Cash flows deduct the entire cost of an
investment at the time the cash flow occurs.
2.6 a. Net operating income = Sales - Cost of goods sold - Selling expenses - Depreciation
= $1,000,000 - $300,000 - $200,000 - $100,000
= $400,000
b. E arnings before taxes = Net operating income - Interest expense
= $400,000 - 0.1 ($1,000,000)
= $300,000
c. Net income = Earnings before taxes - Taxes
= $300,000 - 0.35 ($300,000)
= $195,000
d. C ash flow = Net income + Depreciation + Interest expense
= $195,000 + $100,000 + $100,000
= $395,000
Total Cash Flow of
the Stancil Company
Cash flows from the firm
Capital spending $(1,000)
Additions to working capital (4,000)
Total $(5,000)
Cash flows to investors of the firm
Short-term debt $(6,000)
Long-term debt (20,000)
Equity (Dividend - Financing) 21,000
Total $(5,000)
2.8 a. The changes in net working capital can be computed from:
Sources of net working capital
Net income $100
Depreciation 50
Increases in long-term debt 75
Total sources $225
Uses of net working capital
Dividends $50
Increases in fixed assets* 150
Total uses $200
Additions to net working capital $25
*Includes $50 of depreciation.
b.
Cash flow from the firm
Operating cash flow $150
Capital spending (150)
Additions to net working capital (25)
Total $(25)
Cash flow to the investors
Debt $(75)
Equity 50
Total $(25)。