兹维博迪金融学第二版试的题目库7TB(1)

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兹维博迪金融学第二版精彩试题库9TB(1)

Chapter NineValuation of Common StocksThis chapter contains 47 multiple choice questions, 17 short problems, and 9 longer problems. Multiple Choice1.In a quote listing of stocks, the ________ is defined as the annualized dollar dividend dividedby the stock’s price, and is usually expressed as a percentage.(a)cash dividend(b)dividend payout(c)dividend coverage(d)dividend yieldAnswer: (d)2.According to the discounted-dividend model, the price of a share of stock is the ________value of all expected ________ dividends per share, discounted at the market capitalization rate.(a)present; current(b)present; future(c)future; future(d)future; currentAnswer: (b)3.The value of common stock is determined by which of the following expected cash flows?(a)dividends and interest payments(b)dividends and maturity value of stock(c)dividends and net cash flows from operations of the firm(d)interest payments and maturity valueAnswer: (c)4.The ________ is the expected rate of return that investors require in order to be willing toinvest in the stock.(a)market capitalization rate(b)risk-adjusted discount rate(c)cost of debt(d)a and bAnswer: (d)5.The ________ of dividends is the most basic assumption underlying the discounted dividendmodel.(a)industry average(b)non-constant growth(c)constant growth(d)variabilityAnswer: (c)6.BHM stock is expected to pay a dividend of $2.50 a year from now, and its dividends areexpected to grow by 6% per year thereafter. What is the price of a BHM share if the market capitalization rate is 7% per year?(a)$250.00(b)$192.31(c)$25.00(d)$19.23Answer: (c)7.IOU stock is expected to pay a dividend of $1.67 a year from now, and its dividends are notexpected to grow in the foreseeable future. If the market capitalization rate is 7%, what is the current price of a share of IOU stock?(a)$11.69(b)$23.86(c)$116.90(d)$238.60Answer: (b)8.GMATS stock is currently selling for $34.50 a share. The current dividend for this stock is$1.60 and dividends are expected to grow at a constant rate of 10% per year thereafter. What must be the market capitalization rate for a share of GMATS stock?(a)4.90%(b)5.36%(c)14.64%(d)15.10%Answer: (d)9.Avacor stock is expected to pay a dividend of $1.89 a year from now, and its dividends areexpected to grow at a constant rate of 5% per year thereafter. If the market capitalization rate is 14% per year, what is the current price of a share of Avacor stock?(a)$13.50(b)$18.90(c)$21.00(d)$37.80Answer: (c)10.GRITO stock is currently selling for $46.10 a share. If the company is expected to pay adividend of $5.60 a year from now and dividends are not expected to grow thereafter, what is the market capitalization rate for a share of GRITO stock?(a)7.56%(b)8.23%(c)10.50%(d)12.15%Answer: (d)11.In the DDM model, if D1 and k are held constant, what will happen to the price of a stock ifthe constant growth rate gets higher?(a)the price of the stock will be higher(b)the price of the stock will hold constant(c)the price of the stock will be lower(d)it cannot be determined from the information givenAnswer: (a)12.The relation between earnings and dividends in any period is ________.(a)Dividends = Earnings/Net New Investment(b)Dividends = Earnings x Net New Investment(c)Dividends = Earnings + Net New Investment(d)Dividends = Earnings – Net New InvestmentAnswer: (d)13.Consider a firm called Nowhere Corporation, whose earnings per share are $12. The firminvests an amount each year that is just sufficient to replace the production capacity that is wearing out, and so the new investment is zero. The firm pays out all its earnings asdividends. Calculate the price of a share of Nowhere Corporation stock, give that k = 14%.(a)$168.00(b)$166.67(c)$85.71(d)$82.40Answer: (c)14.Consider a firm called SureBet Corporation. SureBet reinvests 55% of its earnings each yearinto new investments that earn a rate of return of 17% per year. Currently, SureBetCorporation has earnings per share of $12 and pays out 45% or $5.40 as dividends. Calculate the growth rate of earnings and dividends.(a)7.65%(b)8.50%(c)9.35%(d)24.75%Answer: (c)15.What adds value to the current price of a share of stock is ________.(a)growth per se(b)tax advantages(c)investment opportunities that earn rates of return > k(d)all of the aboveAnswer: (c)16.In order to evaluate the stock of Beltran Inc., an analyst uses the constant growth discounteddividend model. Expected earnings of $12 per share is assumed, as are an earnings retention rate of 70% and an expected rate of return on future investments of 17% per year. If the market capitalization rate is 14% per year, calculate the price for a share of Beltran stock.(a)$171.43(b)$367.35(c)$400.00(d)$857.14Answer: (a)17.In order to evaluate the stock of The Rendell-Vine Corporation, an analyst uses the constantgrowth discounted dividend model. Expected earnings of $12 per share is assumed, as are an earnings retention rate of 70% and an expected rate of return on future investments of 17% per year. If the market capitalization rate is 14% per year, what is the implied net present value of future investments?(a)$314.29(b)$281.64(c)$171.43(d)$85.72Answer: (d)18.In order to evaluate the stock of Toys’R’Me, an analyst uses the constant growthdiscounted dividend model. Expected earnings of $14 per share is assumed, as are anearnings retention rate of 60% and an expected rate of return on future investments of 17% per year. If the market capitalization rate is 15% per year, what is the implied net present value of future investments?(a)$23.34(b)$70.00(c)$93.34(d)$116.67Answer: (a)19.Firms with consistently high P/E multiples are interpreted to have either relatively ________market capitalization rates or relatively ________ present value of value-added investments.(a)low; low(b)high; high(c)high; low(d)low; highAnswer: (d)20.In a “frictionless” financial environment, the shareholders wealth is ________ the dividendpolicy the firm adopts.(a)increased by(b)decreased by(c)not affected by(d)determined byAnswer: (c)21.In a ________ the company pays cash to buy shares of its stock in the stock market, therebyreducing the number of shares outstanding.(a)cash dividend(b)share repurchase(c)stock split(d)a and bAnswer: (b)22.Stock splits and stock dividends ________ the number of shares of stock outstanding.(a)decrease(b)do not alter(c)increase(d)a or bAnswer: (c)23.SureBet Corporation has total assets with a market value of $15 million: $3 million in cashand $12 million in other assets. The market value of its debt is $3 million; of its equity $12 million. There are 1,000,000 shares of SureBet common stock outstanding, each with amarket price of $12. If SureBet distributes a cash dividend of $1.50 per share, the market value of its assets and of its equity ________ by ________.(a)increases; $1.5 million(b)increases; $10.5 million(c)decreases; $1.5 million(d)decreases; $10.5 millionAnswer: (c)24.SureBet Corporation has total assets with a market value of $15 million: $3 million in cashand $12 million in other assets. The market value of its debt is $3 million; of its equity $12 million. There are 1,000,000 shares of SureBet common stock outstanding, each with amarket price of $12. If SureBet repurchases shares worth $2.4 million, the resulting number of shares outstanding is ________ , with a price per share of ________.(a)200,000; $15(b)200,000; $12(c)800,000; $15(d)800,000; $12Answer: (d)25.“Frictions” that can cause a firm’s dividend policy to have an effect on the wealth ofshareholders include:(a)regulations(b)taxes(c)cost of external finance(d)all of the aboveAnswer: (d)26.Outside investors may interpret an increase in a corporation’s cash dividend as ________sign.(a)a positive sign(b)a negative sign(c)an indifferent sign(d)b or cAnswer: (a)27.From the perspective of a shareholder with regard to personal taxation, it is always ________for the corporation to pay out cash by ________.(a)better; cash dividends(b)worse; cash dividends(c)worse; share repurchases(d)it varies according to the situationAnswer: (b)28.An increase in a corporation’s cash dividend is most likely to ________.(a)decrease the price of its stock(b)increase the price of its stock(c)have no impact on the price of its stock(d)decrease trading activity of its stockAnswer: (b)29.Raising cash by issuing new stock is ________ to the corporation than raising cash byforegoing the payments of dividends.(a)is less costly(b)is more costly(c)is no different(d)just as costlyAnswer: (b)30.Gough Fraser is considering purchasing the stock of ASIOA Companies, which he plans tohold indefinitely. ASIOA just paid an annual dividend of $2.50 and the price of the stock is $48 per share. The earnings and dividends of the company are expected to grow forever at a rate of 6 percent per year. What annual rate of return does Gough expect on his investment?(a)10.58%(b)11.21%(c)11.52%(d)12.46%Answer: (c)31.Beazley Inc. just paid a dividend of $3.00 per share. This dividend is expected to grow at asupernormal rate of 15 percent per year for the next two years. It is then expected to grow at a rate of 6 percent per year forever. The appropriate discount rate for Beazley’s stock is 17 percent. What is the price of the stock?(a)$17.64(b)$27.27(c)$33.78(d)$46.15Answer: (c)32.Beazley Corporation would like to raise $100,000,000 by issuing preferred stock. Thepreferred stock will have a par value of $1,000 per share and pay a dividend of $72 per year.If the required rate of return for this stock is 16 percent, how many shares of preferred stock must Beazley issue?(a)450(b)16,000(c)222,222(d)265,332Answer: (c)33.If you use the constant dividend growth model to value a stock, which of the following iscertain to cause you to increase your estimate of the current value of the stock?(a)Decreasing the required rate of return for the stock(b)Decreasing the estimate of the amount of next year’s dividend(c)Decreasing the expected dividend growth rate(d)All of the aboveAnswer: (a)34.The constant dividend growth model may be used to find the price of a stock in all of thefollowing situations except when:(a)g < k(b)k < g(c)g = 0(d)k≠ gAnswer: (b)35.CarsonCorp just paid an annual dividend of $3.00. Dividends are expected to grow at aconstant rate forever. The price of the stock is currently $63.00. The required rate of return for this stock is 15 percent. What is the expected growth rate of CarsonCorp’s dividend?(a)5.00%(b)5.48%(c)6.33%(d)10.00%Answer: (a)36.The common stock of Century Inc. is expected to pay a dividend of $2.00 one year fromtoday. After that the dividend is expected to grow at a rate of 10 percent per year for two years and then at a rate of 5 percent per year forever. If the required rate of return for this stock is 15 percent what is the current price?(a)$12.00(b)$18.29(c)$21.69(d)$25.40Answer: (c)37.A firm’s common stock is trading at $80 per share. In the past the firm has paid a constantdividend of $6 per share. However, the company has just announced new investments that the market did not know about. The market expects that with these new investments, thedividends should grow at 4% per year forever. Assuming that the discount rate remains the same, what will be the price of the stock after the announcement?(a)$94.50(b)$156.00(c)$171.43(d)$178.29Answer: (d)38.If the model below is to give a reasonable valuation of a stock, which of the followingpossible situations must be excluded?P0 = D1/(r – g)(a)There is no growth.(b)The growth rate exceeds the required rate of return.(c)The required rate of return is exceptionally high.(d)Growth is constant.Answer: (b)39.According to the constant growth model of stock valuation, capital appreciation in commonstock is a direct result of ________.(a)growth in future dividends(b)a reduction in the required rate of return(c)growth in corporate assets(d)a growth rate that exceeds the required rate of returnAnswer: (a)Questions 40 through 43 refer to the following information:New competition in Sophco’s market is going to have an impact on the growth in thefirm’s dividends. A current dividend of $1.00 was paid yesterday by Sophco, and thisdividend is expected to increase by 25% in the first year. After that point, the growth individends is expected to “decay” to the firm’s long-run constant growth of 10%. Sucha “decay” process is one in which dividend growth declines by 5 percentage points peryear up to the point where the expected constant rate of dividend growth is reached. So,year 2 dividend will be 20 percent higher than year 1, year 3 dividends will be 15 percent higher than year 1, and after year 3, dividends will grow by 10 percent forever. Forproblems 40 – 43, assume investors in Sophco require a rate of return of 15%.40.Calculate Sophco’s dividend in year 2.(a)$1.13(b)$1.25(c)$1.5(d)$1.73Answer: (c)41.Calculate the Sophco’s dividend in year 4.(a)$1.24(b)$1.57(c)$1.73(d)$1.90Answer: (d)42.Determine the price of Sophco’s stock at the end of year 3 (just after the dividend has beenpaid).(a)$26.12(b)$28.34(c)$38.00(d)$39.73Answer: (c)43.Calculate the current price of Sophco’s stock.(a)$26.12(b)$28.34(c)$38.00(d)$39.73Answer: (b)Questions 44 through 47 refer to the following information:New competition in Acme Unlimited’s market is going to have an impact on the growth of the firm’s dividends. A current dividend of $1.50 was paid yesterday, and thisdividend is expected to increase by 35% in the first year. After that point, the growth individends is expected to “decay” to the firm’s long run constant growth of 5%. Such a “decay” process is one in which dividend growth declines by 10 percentage points per year up to the point where the expected constant rate of dividend growth is reached. So, year 2 dividend will be 25 percent higher than year 1, year 3 dividend will be 15 percent higher, and after year 3, dividends will grow by 5 percent forever. Assume that investors require a rate of return of 17 on Acme Unlimited’s stock.44.Calculate the dividend in year 2.(a)$2.54(b)$2.92(c)$3.21(d)$3.30Answer: (a)45.Calculate the dividend in year 4.(a)$2.35(b)$2.54(c)$3.21(d)$3.53Answer: (c)46.Determine the price of Acme Unlimited’s stock at the end of year 3 (just after the dividendhas been paid).(a)$22.13(b)$26.75(c)$29.67(d)$34.24Answer: (b)47.Calculate the current price of Acme Unlimited’s stock.(a)$22.13(b)$26.75(c)$29.67(d)$34.24Answer: (a)Short Problems1.Discuss the two ways in which a corporation can distribute cash to its shareholders.Answer:There are two ways a corporation can distribute cash to its shareholders: by paying acash dividend or by repurchasing the company’s shares in the stock market. When acompany pays a cash dividend, all shareholders receive cash in amounts proportional to the number of shares they own.In a share repurchase, the company pays cash to buy shares of its stock in the stockmarket, thereby reducing the number of shares outstanding. In this case, onlyshareholders who choose to sell some of their shares will receive cash.2.Does growth “per se” add value to the current price of a share? If not, what does add valueto a share’s current price?Answer:Growth per se does not add value. What adds value is the opportunity to invest inprojects that can earn rates of return in excess of the required rate, k. When a firm’sfuture investment opportunities yield a rate of return equal to k, the stock’s value can be estimated using the formula P0 = E1/k.3.In order to evaluate the stock of DippinDonuts, an analyst uses the constant growthdiscounted dividend model. Expected earnings of $15 per share are assumed, as are anearnings retention rate of 70% and an expected rate of return on future investments of 18% per year. If the market capitalization rate is 15% per year, what is the implied net present value of future investments?Answer:g = 0.7 x 0.18= 12.6%Use the constant growth formula to solve for P0:P0 = D1/(k – g)= 4.50/(0.15-0.126)= $187.50Next find P0 with the formula P0 = E1/k:= 15/0.15= $100The NPV of future investments is the difference between these two values: $187.50 –$100 = $87.504.In order to evaluate the stock of EasyStreet Corporation, an analyst uses the constant growthdiscounted dividend model. Expected earnings of $16 per share are assumed, as are anearnings retention rate of 60% and expected rate of return on future investments of 17% per year. If the market capitalization rate is 14% per year, what is the implied net present value of future investments?Answer:g = 0.6 X 0.17= 10.2%Use the constant growth formula to solve for P0:P0 = D1/(k – g)= $6.40/(0.14 – 0.102)= $168.42Next find P0 with the formula P0 = E1/k:= 16/0.14= $114.29The NPV of future investments is the difference between the two values: $168.42 –$114.29 = $54.13.anic Earth stock is expected to pay a dividend of $2.70 per share a year from now, and itsdividends are expected to grow by 7% per year thereafter. If its price is now $30 per share, what must be the market capitalization rate?Answer:Use the constant growth formula to solve for k:P0 = D1/(k – g)30 = 2.70/(k – 0.07)k = 16%6.Walch stock currently sells for $27.62 a share, and is expected to pay a dividend of D1 a yearfrom now. If its dividends are expected to grow by 4.5% per year thereafter and thecapitalization rate is 15% per year, what is the value of D1?Answer:Use the constant growth formula to solve for D1:P0 = D1/(k – g)D1 = P0(k – g)= $27.62(0.15 – 0.045)= $2.907.Discuss how outside investors may interpret an increase in a corporation’s cash dividend asopposed to a decrease.Answer:Investors may interpret an increase in a corporation’s cash dividend as a positive sign since it would suggest that management is confident the earnings can be sustained in the future.The result is most likely to be an increase in stock price. A decrease could be viewed as a bad signal that will most likely cause a decline in stock price.8.Consider the balance sheet of SureThing Corporation:Assets Liabilities and Shareholders’ EquityCash: $3 million Debt: $3 millionOther Assets: $11 million Equity: $11 millionTotal: $14 million Total: $14 millionNumber of shares outstanding = 440,000Price per share = $25If SureThing pays a cash dividend of $2.50 per share, what will the balance sheet look like afterward?Answer:Balance sheet after payment of cash dividend:Assets Liabilities and Shareholders’ EquityCash: $1.9 million Debt: $3 millionOther assets: $11 million Equity: $9.9 millionTotal: $12.9 million Total: $12.9 millionNumber of shares outstanding = 440,000Price per share = $22.509.Consider the balance sheet of SureThing Corporation:Assets Liabilities and Shareholders’ EquityCash: $3 million Debt: $3 millionOther assets: $11 million Equity: $11 millionTotal: $14 million Total: $14 millionNumber of shares outstanding = 440,000Price per share = $25If SureThing Corporation repurchases shares worth $2.5 million, what will the new balance sheet for SureThing Corporation look like?Answer:Balance sheet after share repurchase:Assets Liabilities and Shareholders’ EquityCash: $0.5 million Debt: $3 millionOther assets: $11 million Equity: $8.5 millionTotal: $11.5 million Total: $11.5 million Number of shares outstanding = 340,000Price per share = $2510.Consider the balance sheet of SureThing Corporation:Assets Liabilities and Shareholders’ Equity Cash: $3 million Debt: $3 million Other assets: $11 million Equity: $11 million Total: $14 million Total: $14 million Number of shares outstanding = 440,000Price per share = $25If SureThing is paying a 20% stock dividend, what will the number of shares outstanding be?What will be the price per share?What would be the effect of a two-for-one stock split?Answer:After paying a 20% stock dividend:Number of shares outstanding = 528,000Price per share = $20.83After a two-for-one stock split:Number of shares outstanding = 880,000Price per share = $12.5011.Gough Fraser is considering purchasing the stock of ASIOA Companies, which he plans tohold indefinitely. ASIOA just paid an annual dividend of $3.00 and the price of the stock is $48 per share. The earnings and dividends of the company are expected to grow forever at a rate of 6 percent per year. What annual rate of return does Gough expect on his investment?Answer:D1 is 3.00. Given 6% annual growth, D1 = 3.00 x 1.06 = 4.80.Use the constant growth formula to solve for k:P0 = D1/(k – g)48 = 4.80/(k – 0.06)48k – 2.88 = 4.8048k = 7.68k = 16%12.Halpert Corporation would like to raise $100,000,000 by issuing preferred stock. Thepreferred stock will have a par value of $1,000 per share and pay a dividend of $48 per year.If the required rate of return for this stock is 15 percent, how many shares of preferred stock must Halpert issue?Answer:P0 = D1kP0 = $480.15= $320Number of shares = $100,000,000/$320= 312,500 shares13.Aslan Inc. just paid a dividend of $5.00 per share. This dividend is expected to grow at asupernormal rate of 20 percent per year for the next two years. It is then expected to grow at a rate of 5 percent per year forever. The appropriate discount rate for Aslan’s stock is 17percent. What is the price of the stock?Answer:D0 = $5D1 = $5(1.2)= $6.00D2 = $6.00(1.2)= $7.20D3 = $7.20(1.05) = $7.56P2 = D3/(k – g)= $7.56/(0.17 – 0.05)= $63.00P0 = $6.00/(1.17) + ($7.20 + $63.00)/(1.17)2= $56.4114.Druids Corp. just paid an annual dividend of $2.50. Dividends are expected to grow at aconstant rate forever. The price of the stock is currently $38.40. The required rate of return for this stock is 15 percent. What is the expected growth rate of Druids dividend?Answer:D0 = $2.50D1 = $2.50(1 + g)P0 = $38.40k = 15%Use the constant growth formula to solve for g:P0 = D1/(k – g)38.40 = 2.50(1 + g)/(0.15 – g)5.76 – 38.4g = 2.5 + 2.5g3.26 = 40.9g0.0797 = g15.The common stock of Century Inc. is expected to pay a dividend of $1.80 one year fromtoday. After that the dividend is expected to grow at a rate of 15 percent per year for two years and then at a rate of 5 percent per year forever. If the required rate of return for this stock is 15 percent, what is the current price?Answer:D1 = $1.80D2 = $2.07D3 = $2.38D4 = $2.50P3 = $2.50/(0.15 – 0.05)= $25.00P0 = 1.80/(1.15) + 2.07/ (1.15)2 + (2.38 + 25.00)/(1.15)3= $21.1416.A firm’s common stock is trading at $54 per share. In the past the firm has paid a constantdividend of $4 per share. However, the company has just announced new investments that the market did not know about. The market expects that with these new investments, thedividends should grow at 4% per year forever. Assuming that the discount rate remains the same, what will be the price of the stock after the announcement?Answer:P0 = $54Dividends have been constant, so:P0 = D1kk = $4/$54= 7.4%Now g = 4% and k stays same:P0 = 4(1.04)/(0.074 – 0.04)= $122.3517.Consider a stock that just paid a $3.00 dividend. You expect dividends on this stock to growat 25 percent per year for the next 3 years and 10 percent per year thereafter. If you require an18 percent return, how much are you willing to pay for this stock?Answer:D0 = $3D1 = $3(1.25)= $3.75D2 = 3.75(1.25)= $4.69D3 = 4.69(1.25)= $5.86D4 = $5.86(1.10)= $6.45P3 = $6.45/(0.18 – 0.10)= $80.63P0 = 3.75/(1.18) + $4.69/(1.18)2 + $86.63/(1.18)3= $59.19Longer Problems1.WannaGrow Corporation has expected earnings per share of $8. It has a history of payingcash dividends equal to 30% of earnings. The market capitalization rate for WannaGrow stock is 15% per year, and the expected rate of return on future investments is 18% per year.Using the constant growth rate discounted dividend model:a.What is the expected growth rate of dividends?b.What is the model’s estimate of the present value of the stock?c.What is the expected price of a share a year from now?Answer:a.g = earnings retention rate x ROE= 0.7 x 0.18= 12.6%b.D1 = 0.3 x $8= $2.40Use the constant growth formula to solve for D1:P0 = D1/(k – g)= $2.40/(0.15 – 0.126)= $100c.P1 = P0 (1 + g)= $100(1.126)P1 = $112.602.Dividends’R’Us Corporation is an all equity financed firm with a total market value of$150 million. The company holds $20 million in cash and has $130 million in other assets.There are 2,500,000 shares of common stock outstanding for this company, each with a market price of $52. Consider the following decisions and the impact on Dividends’R’Us Corporation’s stock price and on number of shares outstanding.a.The company pays a cash dividend of $5 per share.b.The company repurchases 250,000 shares.c.The company pays a 20% stock dividend.d.The company has a two-for-one stock split.Answer:a.The company pays out a total of $12.5 million in cash dividends. The stock pricefalls to $47 per share. Shareholder wealth may decline because personal taxesmay have to be paid on the cash dividend. The number of shares outstanding isstill 2.5 million shares.b.The stock price is unchanged. The number of shares outstanding is now2,250,000 shares.c.The number of shares outstanding is 1.2 x 2.5 million = 3 million shares.The stock price is $43.34.d.The number of shares doubles to 5,000,000.The stock price halves to $26.3.The stock of WishToGrow Corporation is currently selling for $15 per share. Earnings pershare in the coming year are expected to be $3. The company has a policy of paying out 70% of its earnings each year in dividends. The remaining 30% is retained and invested in projects that earn a 19% rate of return each year. This situation is expected to continue into theforeseeable future.ing the constant growth rate DDM, what rate of return do WannaGrow investorsrequire?b.By how much does its value exceed what it would be if all earnings were paid asdividends and nothing were reinvested?c.If WannaGrow were to cut its dividend payout ratio to 35%, what would happen to itsstock price?Answer:a.P0 = $15, E1 = $3, D1 = 0.7 x $3= $2.10g = 0.3 x 0.19= 5.7%P0 = D1/(k – g)15 = $2.10/(k – 0.057)k = 19.7%b.If all earnings were paid as dividends its price would be:P0 = 3/0.197= $15.23The current price is actually $0.23 less in value than the above model.c. D1 = 0.35 x $3 g = 0.65 x 0.19= $1.05 = 12.35%P0 = 1.05/(0.197 – 0.1235)= $14.29The stock price would drop by $0.71.。

兹维博迪金融学第二版试题库13TB(1)

Chapter ThirteenCapital Market EquilibriumThis chapter contains 43 multiple choice questions, 19 short problems, and 9 longer problems. Multiple Choice1.If one holds a diversified portfolio in which securities are held in the same relative proportions as ina broad market index, this is referred to as ________.(a)eliminating(b)discounting risk(c)indexing(d)capitalizingAnswer: (c)2.The CAPM provides a way of estimating ________ for use in a variety of financial applications.(a)actual rates of return(b)expected rates of return(c)expected standard deviation(d)actual standard deviationAnswer: (b)3.The CAPM may be used to provide ________.(a)inputs to DCF valuation model for stocks(b)inputs to DCF valuation model for bonds(c)estimation of a “fair” rate of return on invested capital(d)both (a) and (c)Answer: (d)13-14.A(n) ________ is a portfolio that holds all assets in proportion to their observed market values.(a)market portfolio(b)riskless portfolio(c)efficient riskless portfolio(d)both (b) and (c)Answer: (a)5.Suppose there are three assets: BB stock, REM stock, and a risk-free asset. The total market values ofeach at current prices are $40 million of BB stock, $80 million of REM stock, and $10 million of the risk-free asset. The composition of the market portfolio is ________.(a)61.5% BB stock; 7.7% REM stock; 30.8% risk-free asset(b)33.33% BB stock; 66.67% REM stock; 0 risk-free asset(c)30.8% BB stock; 61.5% REM stock; 7.7% risk-free asset(d)30.8% BB stock; 66.67% REM stock; 7.7% risk-free assetAnswer: (c)6.Suppose there are three assets: BB stock, REM stock, and a risk-free asset. The total market value ofeach at current prices are $40 million of BB stock, $80 million of REM stock, and $10 million of the risk-free asset. The composition of the risky part of any investor's portfolio will be ________(a)30.8% BB stock; 61.5% REM stock(b)33.33% BB stock; 66.67% REM stock(c)30.8% BB stock; 66.67% REM stock(d)66.67% BB stock; 33.33% REM stockAnswer: (b)7.Suppose there are four securities: BB stock, REM stock, ACX stock, and a risk-free asset. The totalmarket values of each at current prices are $50 million of BB stock, $40 million of REM stock, $80 million of ACX stock, and $30 million of the risk-free asset. The composition of the market portfolio is ________.(a)25% BB stock; 20% REM stock; 40% ACX stock; 30% risk-free asset(b)25% BB stock; 40% REM stock; 40% ACX stock; 15% risk-free asset(c)25% BB stock; 20% REM stock; 40% ACX stock; 15% risk-free asset(d)50% BB stock; 40% REM stock; 80% ACX stock; 30% risk-free assetAnswer: (c)13-213-38. Suppose there are four securities: BB stock, REM stock, ACX stock, and a risk-free asset. The totalmarket values of each at current prices are $50 million of BB stock, $40 million of REM stock, $80million of ACX stock, and $30 million of the risk-free asset. Determine the holdings of the threerisky assets of a trader who invests $60,000 of a $300,000 portfolio in the riskless security.(a) $70,000 in BB stock, $50,000 in REM stock, $120,000 in ACX stock(b) $60,000 in BB stock, $48,000 in REM stock, $96,00 in ACX stock(c) $70,588 in BB stock, $56,471 in REM stock, $112,941 in ACX stock(d) $88,235 in BB stock, $70,588 in REM stock, $141,176 in ACX stockAnswer: (c)9. In the CAPM, the trade-off line is called the ________.(a) capital market line(b) portfolio market line(c) asset market line(d) capital asset lineAnswer: (a)10. The correct equation for the Capital Market Line (CML) is ________.(a) ()M f E r r σσ+=(b) ()()M f f M E r r E r r σσ⎡⎤-=+⎢⎥⎢⎥⎣⎦(c) ()()M f ME r r E r σ-= (d) ()M f M E r r σ=+Answer: (b)11.Investors must be offered an expected rate of return that ________ the risk-free rate of interest whenbeing induced to accept a market portfolio.(a)is less than(b)is the same as(c)exceeds(d)minimizesAnswer: (c)12.The ________ the average degree of risk aversion of the population, the ________ the risk premiumrequired.(a)greater; lower(b)greater; greater the insignificance of(c)lower; higher(d)greater; higherAnswer: (d)13.The slope of the Capital Market Line represents the:(a)volatility of interest rates(b)market reward-to-risk ratio(c)individual risk-to-reward ratio(d)individual preferenceAnswer: (b)14.Suppose the standard deviation of the market portfolio is 0.15 and the average degree of risk aversionis 1.5. Then the risk premium on the market portfolio is:(a)0.034(b)0.051(c)0.225(d)0.340Answer: (a)13-413-515. Suppose the standard deviation of the market portfolio is 0.15 and the average degree of risk aversionis 1.5. If the expected return on the market portfolio is 0.15 per year, what is the slope of the CapitalMarket Line?(a) 0.034(b) 0.180(c) 0.225(d) 0.516Answer: (c)16. Suppose the standard deviation of the market portfolio is 0.25 and the average degree of risk aversionis 3. If the expected return on the market portfolio is 0.24, what is the slope of the Capital MarketLine?(a) 0.1875(b) 0.6912(c) 0.7500(d) 0.7813Answer: (d)17. ________ is a measure of a security’s market-related risk and it tells us how much the security’srate of return tends to change when the return on the market portfolio changes.(a) alpha(b) beta(c) delta(d) gammaAnswer: (b)18. The equation for the Security Market Line (SML) is ________.(a) ()()()j f j f j M f E r r E r r E r r ββ⎡⎤=⨯=⨯-⎣⎦ (b) ()()j f j M f E r r E r r β⎡⎤=+-⎣⎦(c) ()()f j j M f r E r E r r β=⎡⎤-⎣⎦(d) ()()j j M f fE r E r r r β⎡⎤=--⎣⎦Answer: (b)19.If a security is more volatile than the market as a whole, it will have a beta ________, whereas if asecurity is less volatile than the market as a whole, it will have a beta ________.(a)equal to 1; less then 1(b)greater than 2; greater than 1(c)less than 1; greater than 1(d)greater than 1; less than 1Answer: (d)20.If you are examining a stock that has a beta of 2, according to the CAPM, what should be itsexpected rate of return? Let the market risk premium = 0.07.(a)the risk-free rate plus 0.035(b)the risk-free rate plus 0.07(c)the risk-free rate plus 0.14(d)the risk-free rate plus 2.00Answer: (c)21.________ refers to the difference between the average rate of return on a security or a portfolio ofsecurities and its SML relation.a. Alphab. Betac. Deltad. GammaAnswer: (a)22.A beta of 1.5 for a security indicates ________.(a)the security has below average market-related risk(b)the security has no market-related risk(c)the security has above average market-related risk(d)the security has average market-related riskAnswer: (c)13-623.The risk-free rate of return for a security is 6%. The expected return on the market is 13%. What isthe required rate of return for the security if it has a beta of 1.25?(a)22.25%(b)16.25%(c)14.75%(d)8.75%Answer: (c)24.Determine the beta of a portfolio consisting of the following stocks:Security % Invested BetaREM 30% 1.1ACX 20% 0.95BGB 40% 1.2CRY 10% 0.7(a)0.92(b)0.99(c)1.07(d)1.17Answer: (c)25.If the Treasury bill rate is currently 4% and the expected return on the market portfolio for the sameperiod is 13%, determine the risk premium on the market.(a)0.52%(b)8.50%(c)9.00%(d)11.00%Answer: (b)13-726.If the Treasury bill rate is currently 4% and the expected return on the market portfolio for the sameperiod is 13%, what is the equation of the CML if the standard deviation is 0.25?(a)E(r) = 0.04 + 0.36σ(b)E(r) = 0.04+ 0.09σ(c)E(r) = 0.09 + 0.36σ(d)E(r) = 0.09 + 0.16σAnswer: (a)27.Peggy has just been informed that the expected return from her portfolio is 15.5%. If 45% of Peggy'ssecurities have an expected return of 10.8% and 25% have an expected return of 16.5%, what is the expected return of the remaining portion of Peggy's portfolio?(a)21.72%(b)19.55%(c)13.64%(d)6.52%Answer: (a)28.ZB Enterprises pays a current dividend of $1.80 and dividends are expected to grow at a rate of 6%annually in the foreseeable future. ZB Enterprises has a beta of 1.1. If the risk-free rate is 8.5 and the market risk premium is 5%, at what price would a share of ZB stock be expected to sell?(a)$20.50(b)$23.85(c)$32.40(d)$32.90Answer: (b)29.Two industrial firms are considering a merger. Drysler has a beta of 0.95 and Bendz has a beta of1.25. Drysler's stock sells for $25 per share and there are 12 million shares outstanding. Bendz has 3million shares outstanding and its stock sells for $50 per share. What will be the merged firm's beta if the merger is carried out?(a)1.05(b)1.10(c)1.54(d)2.20Answer: (a)13-830.Monet Industries currently does not pay a dividend but expects to pay a dividend of $1.70 next year.Thereafter, the dividend is expected to grow at a rate of 5% per year. The risk-free rate is currently 6% and the expected return on the market portfolio is 12%. What is the price you would expect to pay for a share of Monet today if the beta for this stock is 1.05?(a)$12.50(b)$13.13(c)$23.29(d)$24.45Answer: (c)31.Joe Citizen is considering venturing into the sports utility vehicle field. As a result of such a venture,the beta would increase from 1.07 to 1.15 and the expected growth rate in earnings would increase from 10% to 12%. Determine whether this is a worthwhile venture if Joe also has the followinginformation: the risk-free rate is 6%, the current dividend is $0.95, and the expected return on the market portfolio is 13%.(a)No, it is not worthwhile since there is no change in stock price(b)Yes, it is worthwhile since the stock price increases by $21.96(c)Yes, it is worthwhile since the stock price increases by $29.94(d)No, it is not worthwhile - stock price decreases by $19.12Answer: (b)32.Consider a share of Rooble Less. If it has a beta of 0.7, and we also know that the risk-free rate is 7%,and the expected return on the market portfolio is 15%, what is the required rate of return for a share of Rooble Less stock?(a)10.5%(b)11.9%(c)12.6%(d)17.5%Answer: (c)13-933.Determine the beta of a portfolio containing the following stocks ________.Stock Market Value BetaREM $30,000 0.82Rooble $20,000 0.65Drysler $40,000 1.25Fourx $60,000 1.32Wotan $80,000 1.65(a)0.95(b)1.14(c)1.30(d)5.69Answer: (c)34.Kanga Enterprises stock currently sells for $33 a share and its current dividend is $1.90. Kangaenterprise stock is considered to be twice as volatile than the market as a whole. The expected return on the market portfolio is 14% and the risk-free rate is 6%. If dividends are expected to grow at a constant rate, g%, into the foreseeable future, then calculate this growth rate.(a)15.36%(b)16.24%(c)22.00%(d)26.71%Answer: (a)35.LLJ has a beta of 1.02. If the risk-free rate is 8% and the required return on LLJ’s stock is 16%,what is the required rate of return of the market?(a)12.00%(b)15.84%(c)16.16%(d)16.48%Answer: (b)13-1036.Hulot Corp. has a beta of 1.27. If the risk-free rate is 7.5% and the required return on the market is14%, what is the required return on Hulot stock?(a)8.23%(b)14.00%(c)15.76%(d)21.5%Answer: (c)37.Consider a market portfolio that has a standard deviation of 0.25. The average degree of risk aversionis 1.6. If the expected return on the market portfolio is 0.20, what is the equation for the Capital Market Line?(a)E(r) = 0.10 + 0.10σ(b)E(r) = 0.10 + 0.40σ(c)E(r) = 0.13 + 0.10σ(d)E(r) = 0.13 + 0.40σAnswer: (d)38.According to the CAPM, the risk premium on any asset is equal to ________.(a)its beta(b)its beta times the risk premium on the market portfolio(c)its market risk premium times alpha(d)its market risk premium divided by betaAnswer: (b)39.The market portfolio has a standard deviation of return of 0.22 and the expected return on the marketportfolio is 21%. Calculate the market degree of risk aversion if the risk-free rate of return is 10%.(a)0.50(b)1.41(c)2.27(d)6.40Answer: (c)13-1140.If a portfolio manager can consistently produce a positive alpha, then her performance is consideredto be ________.(a)superior(b)average(c)below average(d)indeterminateAnswer: (a)41.Consider the following information: the risk-free rate is 5% and the expected rate of return on themarket portfolio is 12%. If you have a stock with a beta of 1.50 and you expect it to offer a rate of return of 13%, then you(a)consider it fairly priced(b)sell short the stock because it is overpriced(c)sell the stock because it is fairly priced(d)buy the stock because it is underpricedAnswer: (b)Questions 42 and 43 refer to the following information:Consider a portfolio exhibiting an expected return of 21% in an economy in which the riskless interest rate is 8%, the expected return to the market portfolio is 14%, and the standard deviation of the return to the market is 0.30. Assuming this portfolio is efficient, complete the following problems:42.Determine the beta.(a)0.46(b)0.93(c)2.17(d)3.50Answer: (c)43.Determine the standard deviation of its return.(a)0.13(b)0.65(c)0.70(d)1.39Answer: (b)13-12Short Problems1.Explain the importance of the CAPM as a tool in finance.Answer:(1) It provides a theoretical justification for the practice of passive investing known as indexing.(2) The CAPM provides a way of estimating expected rates of return for uses in financialapplications. Such financial applications include the discounted-cash-flow valuation modelfor stocks and in models used in making capital-budgeting decisions.2.List two assumptions of the CAPM model. How is an investor expected or assumed to behave in theworld of the CAPM model?Answer:(1) Investors have the same expectations or agree in their forecasts of expected rates of return,standard deviations, and correlations of the risky securities, and will therefore hold riskyassets in the same relative proportions.(2) Investors will generally behave optimally. In equilibrium, the prices of securities adjust sothat when investors are holding their optimal portfolios, the aggregate demand for eachsecurity is equal to its supply.3.Suppose there are four securities: Oz stock, Xanadu stock, Ragtime stock, and a risk-free asset. Thetotal market values of each at current prices are $30 billion of Oz stock, $50 billion of Xanadu stock, $90 billion of Ragtime stock, and $30 billion of the risk-free asset.a. Determine the composition of the market portfolio.b. If an investor has a $500,000 portfolio with $90,000 invested in the risk-free asset, determinethe holdings of the three risky assets.Answer:(a) The total market value of all assets is $200 billion.The composition of the market portfolio is therefore 15% Oz stock, 25% Xanadu stock, 45%Ragtime stock, and 15% of the risk-free asset.(b) $72,352.94 in Oz stock, $120,588.24 in Xanadu stock and $217,058.82 in Ragtime stock.13-134.Consider a market portfolio that has a standard deviation of 0.30. The average degree of risk aversionis 2. If the expected return on the market portfolio is 0.25, what is the equation for the Capital Market Line?Answer:E(r M) - r f= 2 x (0.3)2= 0.18r f= 0.25 – 0.18= 0.07The equation for CML:E(r) = 0.07 + 0.60σ5.Apart from portfolio selection, discuss other applications of the CAPM in finance.Answer:Risk premiums derived from the CAPM are used in capital-budgeting decisions of the firm and in discounted cash flow valuation models. The CAPM is also used to establish "fair" rates of return on invested capital in regulated firms and in “cost plus” pricing.6.Two industrial firms are considering a merger. Comdat has a beta of 1.15 and BioTech has a beta of1.95. Comdat's stock sells for $60 per share and there are 6 million shares outstanding. BioTech has 4million shares outstanding and its stock sells for $90 per share. If the merger is carried out, what will be the merged firm's beta?Answer:Comdat's market value = $60 x 6 million= $360,000,000BioTech's market value = $90 x 4,000,000= $360,000,000Comdat weight = 0.5BioTech weight = 0.5Merged beta = (0.5)(1.15) + (0.5)(1.95)= 1.5513-147.Consider a portfolio exhibiting an expected return of 22% in an economy where the riskless interestrate is 7%, the expected return on the market portfolio is 14% and the standard deviation of the return to the market portfolio is 0.18. Assuming that the portfolio is efficient, determine:(a) its beta(b) the standard deviation of its returnAnswer:(a) E(r j) – r f= β[E(r M) – r f]0.22 – 0.07 = β[0.14 – 0.07]2.14 = β(b) Use CML:.22 = 0.07 + [(0.17 – 0.07)/0.18]σ0.3 = σ8.During the most recent 3-year period, Tartar Inc. earned an average annualized rate of return of 14%and had an annualized standard deviation of 20%. The average risk-free rate was 4.5% per year. The average rate of return in the market index over that same period was 10% with a standard deviation of 15%. How well did Tartar Inc. perform on a risk adjusted basis?Answer:Compare their reward-to-risk ratios:Tartar Inc. Market(0.14 – 0.45)/0.2 = 0.475 (0.10 – 0.045)/0.15 = 0.367On a risk adjusted basis, Tartar performed better than the market index.13-159.Joe Citizen is considering venturing into the sports accessories field. As a result of this investment,the beta would increase from 1.02 to 1.20 and the expected growth rate in earnings would increase from 6% to 9%. Determine whether this is a worthwhile venture if Joe also has the followinginformation: the risk-free rate is 4.5%, the current dividend is $1.05, and the expected return on the market portfolio is 12%.Answer:βold = 1.02 βnew = 1.20k old= r f+ βold [E(r M) – r f]= 4.5 + 1.02 [12 – 4.5]= 12.15%P old= $18.10Now look at βnew.k new= r f+ βnew [E(r M) – r f]= 4.5 + 1.20 [12 – 4.5]= 13.50%P new= $25.43Yes, it is a worthwhile venture since the stock price increases by $7.33.10.The market portfolio has a variance of return of 0.16 and the expected return on the market portfoliois 21%. Calculate the market degree of risk aversion if the risk-free rate of return is 10%.Answer:E(r M) – r f = Aσ20.18 – 0.10 = A(0.035)23.125 = A13-1611.Consider the following information: the risk-free rate is 5%, and the expected rate of return on themarket portfolio is 18%. If you have a stock with a beta of 1.5, and you expect it to offer a rate of return of 13%, what should you do?Answer:Look at: E(r j) = r f+ β(E(r M) – r f)= 0.05 + 1.5(0.12 – 0.05)= 15.5%You expect the stock to offer 13%. Since this is below the SML, its expected return is too low to support equilibrium.12.If the Treasury bill rate is currently 5%, and the expected return to the market portfolio over the sameperiod is 14%, determine the risk premium on the market. If the standard deviation of the return on the market is 0.25, what is the equation of the Capital Market Line?Answer:Market risk premium = 14% – 5%= 9%CML equation:E(r) = 0.05 + 0.09/0.25σ= 0.05 + 0.36σ13.If the Treasury bill rate is currently 6 %, and the expected return to the market portfolio over thesame period is 15%, determine the risk premium on the market. If the standard deviation of the return on the market is 0.4, what is the equation of the Capital Market Line?Answer:Market risk premium = 15% – 6= 9%CML equation:E(r) = 0.06 + 0.09/0.4σ= 0.06 + 0.225σ13-1714.Consider a portfolio exhibiting an expected return of 20% in an economy in which the risklessinterest rate is 6%, the expected return to the market portfolio is 12%, and the standard deviation of the return to the market is 0.25. Assuming this portfolio is efficient, determine:(i)its beta(ii)the standard deviation of its returnAnswer:(i) E(r j) – r f= β[E(r M) – r f]0.20 – 0.06 = β[0.12 – 0.06]2.33 = β(ii) Use CML:.20 = 0.06 + [(0.12 – 0.06)/0.25]σ0.583 = σ15.Consider a market portfolio that has a standard deviation of 0.35. The average degree of risk aversionis 1.5. If the expected return on the market portfolio is 0.23, what is the equation for the Capital Market Line?Answer:E(r m) - r f= 1.5 x (0.35)2= 0.1838r f= 0.23 – 0.1838= 0.0462E(r) = 0.0462 + 0.1838/0.35σThe equation for the CML is:(r) = 0.0462 + 0.525σ13-1816.Roland Corporation’s stock recently paid a dividend of $2.50 per share (D0 = $2.50). The companyhas a constant growth rate of 5% and a beta equal to 1.5. The rate of return on the market portfolio is 15%, and the risk-free rate is 7%. Roland is considering a change in policy that will increase its beta coefficient to 1.75. If market conditions remain unchanged, what new constant growth rate will cause the price of Roland stock to remain unchanged?Answer:k = r f + β[E(r M) - r f]= 7 + 1.5(15 – 7)= 19%Current stock price, P o = D o (1+g)/(k-g)= 2.50(1.05)/(0.19 – 0.05)= $18.75After policy change, β = 1.75New k = 21%For stock price to be unchanged:$18.75 = $2.50(1+g)/(0.21 – g)solve for g:g = 6.76%17.An all equity firm, Lyrebird Futures Inc. is considering the creation of a new division which willincrease the assets of the firm from $2,000,000 to $4,000,000 (that is, by 100%). Lyrebird currently has a required rate of return of 17%, the risk-free rate is 7%, and the return on the market portfolio is 16%. Lyrebird wants to reduce its required rate of return to 13%. What is the maximum betacoefficient the new division could have?Answer:Solve for current beta:17 = 7 + β(16 – 7)βcurrent = 1.11If the required return is to equal 13%, then recalculate beta.13 = 7 + β(16 – 7)β = 0.67Lyrebird will have created two new divisions of equal weight.0.5(1.11) + 0.5(βnew) = 0.67βnew= 0.2313-1918.An all equity firm, Rush Inc., has been growing at a 15% annual rate and is expected to do so for thenext three years. After year 3, dividend growth is expected to slow to a constant 6% rate. Currently, the firm maintains a 40% payout ratio, and this year’s retained earnings net of dividends was $1.8 million. The market risk premium is 7.5%, the risk-free rate is 8%, the beta is 1.55 and the firm has 1,500,000 shares outstanding. Given this information, what is the market value of the firm’scommon equity?Answer:k = 8 + 1.55(7.5) = 19.625%D o = ($1,800,000/0.6) x 0.4 = $1,200,000D1 = $1,380,000D2 = $1,587,000D3 = $1,825,050D4 = $1,934,553P3 = D4/(0.19625 – 0.06)= $14,198,554P o = $12,935,78013-2019.The returns of TNJ Inc. are displayed below, along with the returns on the market .Year TNJ Market1 –14% –122 16 93 21 154 4 15 –6 –26 2 –1If the risk-free rate is 7.5%, and the required rate of return on TNJ’s stock is 17 %, what is the required rate of return on the market?Answer:To calculate beta, use either a spreadsheet or financial calculator.β = 1.28 (to 2 decimal places)Substitute beta into SML to solve for E(r M)k = r f+ β[E(r M) – r f]17% = 7.5 + 1.28(E(r m) – 7.5)E(r M) = 14.92%13-21Longer Problems1.Wotan Industry stock currently sells for $45 a share and its current dividend is $2.20. Wotan Inc. isconsidered to be 40% more volatile than the market as a whole. The expected return on the market portfolio is 13% and the risk-free rate is 5%. If dividends are expected to grow at a constant rate, g% per year, into the future, then calculate the growth rate.Answer:To solve for g, use the dividend discount valuation model:To solve for k, use the SML formula.k = r f + β [E(r M) – r f]= 5 + 1.40 [13 – 5]k = 16.2%Now substitute k into DDM model.45(0.162 - g) = 2.20(1+g)7.29 – 45g = 2.20 + 2.20g47.2g = 5.09g = 10.8%The growth rate is 10.8%2.Consider a portfolio exhibiting an expected return of 21% in an economy where the riskless interestrate is 6%, the expected return on the market portfolio is 15%, and the corresponding standarddeviation is 0.19. Assuming that the portfolio is efficient, determine:(a) its beta(b) the standard deviation of its returnAnswer:(a) E(r j) – r f = β[E(r M) – r f]0.21 – 0.06 = β[0.15 – 0.06]β= 1.67(b) Use CML:0.21 = 0.06 + [(0.15 – 0.06)/0.19]σσ = 0.3213-223.Lenny's Leftorium (LL) is a store that has no long term debt in its capital structure. However, LL iscurrently considering an expansion project that will yield the following net cash flows:Year NCF0 –$1.2 million1 $700,0002 $810,0003 $860,0004 $920,0005 $940,000If the current risk-free rate is 4.5% and the current market risk premium is 7.2% and its beta is 15% more volatile than the market as a whole, should LL undertake the expansion project?Answer:First of all, compute cost of capital. Since LL is 100% equity financed,k = k e.k = r f + β[E(r M) – r f]= 4.5 + 1.15(7.2)k = 12.78%NPV = $1,740,880Yes, the project is worthwhile.13-234.Kanga Inc. is considering investing $8 million in computer equipment that is expected to have auseful life of 4 years, and is expected to reduce the firm's labor costs by $3 million per year. Assume that Kanga Inc. pays a 35% tax rate on accounting profits and uses the straight-line depreciation method. What is the after tax cash flow from the investment in years 1 through 4? If the firm's beta is1.25 and we also know that the current risk-free interest rate is 5%, the expected return on the marketportfolio is 14%, is the project worthwhile? Also assume Kanga Inc. has no long term debt.Answer:Increase in after tax cash flow = Increase in before tax cash flow –increase in taxes= $3 million – (3 – 2 million)(0.35)= $2.65 millionWe now need k, cost of capital.Use CAPMk = r f+ β[E(r M) – r f]= 5 + 1.25 [14 – 5]k = 16.25%NPV = PV – Initial OutlayUse k = 16.25% in calculations.NPV = –$621,674IRR = 12.29%Based on NPV and IRR, the project does not seem worthwhile.13-245.Barramundi Inc. stock is currently selling at $40 per share (its equilibrium price). The firm’slong-term growth is expected to remain 7% per year forever. Last year’s EPS were $4, and the dividend payout ratio is 50%. The risk-free rate is 8%, and the market risk premium is 6%. If beta increases by 50%, by how much will the stock price change? (Assume all other factors remain constant).Answer:First solve:P o = D o(1 + g)/(k – g)40 = 2.14/(k – 0.07)= 12.35%Solv e SML for β: 12.35 = 8 +β(6)β = 0.725New β = 0.725(1.5)= 1.0875New k = 8 + 1.0875(6)= 14.525New P o = 0.5($4)(1.07)/(0.14525 – 0.07)= $28.44The price would drop by approximately $11.5613-25。

兹维博迪金融学第二版试题库4TB(1)

兹维博迪金融学第二版试题库4T B(1)-CAL-FENGHAI.-(YICAI)-Company One1Chapter FourAllocating Resources Over TimeThis chapter contains 46 multiple-choice questions, 18 short problems and 9 longer problems. Multiple Choice1.________ is the process of going from present value to future value, whereas ________ isfinding the present value of some future amount.(a)Discounting; compounding(b)Compounding; annualizing(c)Compounding; discounting(d)Discounting; leasingAnswer: (c)2.________ refers to the interest rate at which money received before the end of the planninghorizon can be reinvested.(a)Internal rate(b)Reinvestment rate(c)Cost of equity(d)Compound interestAnswer: (b)3.The difference between an immediate annuity and an ordinary annuity is ________.(a)the number of periods(b)the amount of the payments(c)the interest rate(d)the timing of the paymentsAnswer: (d)4.The preferred stock of Tavistock Realty offers a cash dividend of $2.28 per year and it isselling at a price of $110 per share. What is the yield of Tavistock Realty preferred stock?(a)2.07%(b)2.12%(c) 2.28%(d)48.25%Answer: (a)5.Consider the situation where you have won a $10 million lottery to be received in 25 annualequal payments of $400,000. What will happen to the present value of these winnings if the interest rate increases during the next 25 years?(a)it will not change(b)it will be worth more(c)it will be worth less(d)it cannot be determinedAnswer: (c)6.What is the effective annual rate on a bank account that has APR of 8 percent with interestcompounded quarterly?(a)6.12%(b)8.24%(c)8.48%(d)17.17%Answer: (b)7.You take out a loan with an APR of 10% with monthly compounding. What is the effectiveannual rate on your loan?(a)23.87%(b)21.6%(c)19.56%(d)18%Answer: (a)8.The CFO of CyberHelp Inc. has $250,000 in cash today that he wants to invest. How muchwill this investment be worth in four years if the current interest rate is 8%(a)$270,000(b)$330,000(c)$340,125(d)$342,150Answer: (c)9.If you purchase a $12,000 certificate of deposit today with an APR of 14%, with quarterlycompounding, what will the CD be worth when it matures in 5 years?(a)$20,846.99(b)$20,865.60(c)$23,104.97(d)$23,877.47Answer: (d)10.The CFO of CyberChain Inc. plans to unleash a media campaign that is expected to cost $15million four years from today. How much cash should she set aside to pay for this if the current interest rate is 13%(a)$9.2 million(b)$13.3 million(c)$14.4 million(d)$16.9 millionAnswer: (a)11.The NPV is a measure of how much your ________ wealth changes as a result of your choiceand if the NPV is ________it does not pay to undertake that choice.(a)future; negative(b)current; negative(c)current; positive(d)future; positiveAnswer: (b)12.The ________ is the rate that one can earn somewhere else if one did not invest in theproject under evaluation.(a)opportunity cost of capital(b)cost of debt(c)cost of equity(d)weighted average cost of capitalAnswer: (a)13.You are trying to decide whether or not to buy a bond for $990 that will make one paymentfor $1,050 four years from today. What is the internal rate of return on the bond’s cash flows?(a)1.06%(b)1.48%(c)10.6%(d)14.8%Answer: (b)14.Calculate the NPV of the following cash flows: you invest $3,000 today and receive $300 oneyear from now, $700 two years from now, and $1,100 starting four years from now. Assume that the interest rate is 7%.(a)–$1,962.62(b)–$1,269.04(c)$1,269.04(d)$1,962.62Answer: (b)15.After each payment of an amortized loan, the outstanding balance is reduced by the amountof principal repaid. Therefore, the portion of the payment that goes toward the payment of interest is ________ than the previous period’s interest payment and the portion going toward repayment of principal is ________ than the previous period’s.(a)greater; lower(b)lower; lower(c)greater; greater(d)lower; greaterAnswer: (d)16.The present value of a future amount can be calculated with the equation ________.(a) PV = FV(1 + i)n(b) PV = FV(1 + i)(n)(c) PV = FV/(1 + i)n[NOTE: this should be formatted as a stacked fraction](d) PV = FV/(1 + i)(n) [NOTE: this should be formatted as a stacked fraction]Answer: (c)17.To compute the future value of a present amount use the compound amount factor definedas ________.(a) FV = PV(1 + i)n(b) FV = PV(1 + i)(n)(c) FV = PV/(1 + i)n [NOTE: this should be formatted as a stacked fraction](d) FV = PV/(1 + i)(n) [NOTE: this should be formatted as a stacked fraction]Answer: (a)18.The earnings of BGB Computers have grown from $3.20 to $6.90 in 6 years. Determine theannual compound rate.(a)1.14%(b)13.7%(c)15.6%(d)115.6%Answer: (b)19.In five years you intend to go to graduate school. For each of your four years in graduateschool, you need to have a fund that will provide $25,000 per year at the beginning of each year. If the interest rate is 9% throughout, how much must you put in the fund today?(a)$64,996(b)$57,379(c)$50,184(d)$16,249Answer: (b)20.As part of your new job at CyberInc. the company is providing you with a new Jeep. Yourfirm will lease this $34,000 Jeep for you. The terms of the lease are seven annual payments at an interest rate of 10%, which will fully amortize the cost of the car. What is the annual lease payment?(a)$6,984.39(b)$5,342.86(c)$4,857.14(d)$3,584.00Answer: (a)21.A rule of thumb with using the internal rate of return is to invest in a project if the IRR is________ the opportunity cost of capital.(a)greater than(b)less than(c)less than or equal to(d)one-half ofAnswer: (a)22.When considering the timeframe of an investment, a rule followed by some is to choose theinvestment with ______ payback period.(a)the longest(b)the shortest(c)no(d)an infiniteAnswer: (b)23.A major problem with using the internal rate of return rule is ________.(a)there may be multiple cash outflows and multiple cash inflows(b)the internal rate of return may not exist(c)the internal rate of return may not be unique(d)all of the aboveAnswer: (d)24.The NPV is the difference between the ________ value of all ________ cash inflowsminus the ________ value of all current and future cash outflows.(a)future; present; present(b)present; future; present(c)present; present; future(d)present; future; futureAnswer: (b)25.When considering effective interest rates, as the compounding frequency increases, theeffective annual rate gets ________ and ________ but approaches ________.(a)larger; larger; a limit(b)smaller; smaller; a limit(c)larger; larger; infinity(d)smaller; smaller; infinityAnswer: (a)26.In 10 years you wish to own your business. How much will you have in your bankaccount at the end of 10 years if you deposit $300 each quarter (assume end of the period deposits) Assume the account is paying an interest rate of 12% compounded quarterly.(a)$20,220(b)$21,060(c)$21,626(d)$22,620Answer: (d)27.The director of marketing for CyberProducts Inc. plans to unleash a media blitz that isexpected to cost $4.7 million three years from today. How much cash should she set aside today to pay for this if the current interest rate is 11%(a) $6.43 million(b) $4.23 million(c) $3.62 million(d) $3.44 millionAnswer: (d)28.If you purchased a $10,000 certificate of deposit today with an APR of 12%, with monthlycompounding, what would be the CD worth when it matures in 6 years?(a) $56,340(b) $20,468(c) $19,738(d) $5,066Answer: (b)29.The manufacturing manager of CyberProducts Inc. estimates that she can save the company$16,000 cash per year over the next 8 years by implementing a recycling plan. What is the value of the savings today if the appropriate interest rate for the firm is 9% Assume cash flows occur at the end of the year.(a) $64,240(b) $88,557(c) $96,527(d) $128,000Answer: (b)30.If the exchange rate between the U.S. dollar and the French Franc is $0.17 per French Franc,the dollar interest rate is 5.5% per year, and the French Franc interest rate is 4.5% per year, what is the "break-even" value of the future dollar/French Franc exchange rate one year from now?a)$0.172 per FFb)$0.179 per FFc)$5.827 per FFd)$5.882 per FFAnswer: (a)31.In any time value of money calculation, the cash flows and the interest rate must bedenominated ________.a)in the same currencyb)in different currenciesc)in terms of a third currencyd)in terms of the ECUAnswer: (a)32.If the exchange rate between the U.S. dollar and the Japanese yen is $0.00745 per yen, thedollar interest rate is 6% per year, and the Japanese interest rate is 7% per year, what is the “break-even” value of the future dollar/yen exchange rate one year from now?a)$135.49 per yenb)$134.23 per yenc)$0.00752 per yend)$0.00738 per yenAnswer: (d)33.Consider the situation where you are trying to decide if you should invest in a Swiss projector an American project. Both projects require an initial outlay of $15,000. The Swiss project will pay you 17,100 Swiss Francs per year for 6 years, whereas the American one will pay you $11,000 per year for 6 years. The dollar interest rate is 5% per year, the Swiss Franc interest rate is 6% per year, and the current dollar price of a Swiss Franc is $0.68 per Swiss Franc. Which project has the higher NPVa)the U.S. project; its NPV is $55,832b)the U.S. project; its NPV is $40,833c)the Swiss project; its NPV is $42,179d)the Swiss project; its NPV is $57,178Answer: (c)34.The ________ is the rate denominated in dollars or in some other currency, and the________ is denominated in units of consumer goods.a)nominal interest rate; inflation interest rateb)nominal interest rate; real interest ratec)real interest rate; inflation interest rated)real interest rate; nominal interest rateAnswer: (b)35.Consider the situation where you are trying to decide if you should invest in a British projector U.S. project. Both projects require an initial outlay of $55,000. The British project will pay you 30,000 pounds per year for 6 years, whereas the American one will generate $40,000 per year for 6 years. The British interest rate is 5% per year, and the American interest rate is 6% per year; the current dollar price of a pound sterling is $1.6320 per pound sterling.Which project has the higher NPV?a)choose the U.S. one, it has a NPV of $196,693b)choose the U.S. one, it has a NPV of $141,693c)choose the British one, it has a NPV of $248,506d)choose the British one, it has a NPV of $193,506Answer: (d)36.What is the real interest rate if the nominal interest rate is 9% per year and the rate ofinflation is 6% per year?a) 1.5%b) 2.75%c) 2.83%d)7.5%Answer: (c)37.What is the nominal interest rate if the real rate of interest is 4.5% and the rate of inflationis 6% per year?a)10.5%b)10.77%c)10.86%d)14.5%Answer: (b)38.What is the real rate of interest if the inflation rate is 6% per year and the nominal interestrate per year is 12.5%a) 1.32%b) 6.13%c) 5.78%d)11.79%Answer: (b)pute the real future value, to the nearest dollar, of $2,000 in 35 years time. The realinterest rate is 3.2%, the nominal interest rate is 8.36%, and the rate of inflation is 5%.a)$6,023b)$6,853c)$33,223d)$11,032Answer: (a)40.The real interest rate is 3.2%, the nominal interest rate is 8.36% and the rate of inflation is5%. We are interested in determining the future value of $200 in 35 years time. What is the future price level?a) 2.91b) 3.012c) 5.516d)16.61Answer: (c)41.Suppose your child is 9 years old and you are planning to open a fund to provide for thechild’s college education. Currently, tuition for one year of college is $22,000. How much must you invest now in order to pay enough for the first year of college nine years from now, if you think you can earn a rate of interest that is 4% more than the inflation rate?a)$21,154b)$16,988c)$15,585d)$15,457Answer: (d)42.Suppose you have a child who is 10 years old and you are planning to open a fund to providefor the child’s college education. Currently, tuition for one year is $22,000. Your child is planning to travel for two years before starting college. How much must you invest now in order to pay enough for the first year of college ten years from now, if you think you can earn a rate of interest that is 5% more than the inflation rate?a)$10,190b)$13,506c)$13,660d)$20,952Answer: (b)43.When considering a plan for long run savings, if one does not have an explicit forecast ofinflation, then one can make plans in terms of:a)constant real payments and a real rate of interestb)constant nominal payments and a nominal rate of interestc)constant real payments and a nominal rate of interestd)constant nominal payments and a real rate of interestAnswer: (a)44.If the real rate is 4% and the rate of inflation is 6%, what is the nominal rate?a)8.16%b)10.16%c)10.24%d)10.36%Answer: (c)45.You have an investment opportunity with a nominal rate of 6% compounded daily. If youwant to have $100,000 in your investment account in 15 years, how much should you deposit today, to the nearest dollar?a.$43,233b.$41,727c.$40,930d.$40,660Answer: (d)46.You have determined the present value of an expected cash inflow stream. Which of thefollowing would cause the stream to have a higher present value?a)The discount rate increases.b)The cash flows are paid over a shorter period of time.c)The discount rate decreases.d)Statements (b) and (c) are both correct.Answer: (d)Short Problems1.CyberNow is opening an office in the U.S. CyberNow expects cash flows to be $500,000 forthe first year, $530,000 for the second year, $560,000 in the third year. If CyberNow uses 12 percent as its discount rate, what is the present value of the cash flows Assume cash flows are made at the end of the year.Answer: PV = FV/(1 + i)n= 500,000/(1.12)1 + 530,000/(1.12)2 + 560,000/(1.12)3= 446,429 + 422,513 + 398,597= $1,267,5392. GeorgiaSun Inc. has preferred stock that pays an annual dividend of $10.50. If the securityhas no maturity (an “infinite” life), what is its value to an investor who wishes to obtain an8.5 percent rate of return?Answer: PV of a level Perpetuity = $10.50/0.085= $123.533.Let us suppose you have a choice between investing in a bank savings account that pays 9%compounded annually (Bank Yearly) and one that pays 8.5% compounded daily (Bank Daily).(Assume this is based on 365 days). Using only effective annual rates, which bank would you prefer?Answer: Effective annual rate: Bank Yearly = 9%Effective annual rate: Bank Daily = [1 + 0.085/365]365 – 1= 8.87%You would prefer Bank Yearly because you will earn more money.4.Steptoe’s bank account has a floating interest rate on certain deposits. That is, every yearthe interest rate is adjusted. Four years ago Steptoe deposited $35,000 into the bank account, when interest rates were 6%. The following year the rate was 6.5%, last year the rate was 8% and this year the rate fell to 7.5%. How much will be in his account at the end of the year Assume annual compounding.Answer: Amount = $35,000 x 1.06 x 1.065 x 1.08 x 1.075= $45,872.855.Calculate the net present value of the following cash flows: you invest $4,000 today andreceive $400 one year from now, $900 two years from now and $2000 three years from now.Assume the interest rate is 9%.Answer: NPV = $400/(1.09) +$900/(1.09)2 + $2,000(1.09)3 –$4,000= $366.97 + $757.51 + $1,544.37 – $4,000= $ -1,331.156.The manufacturing manager of CyberNow Inc. estimates that she can save the company$20,000 cash per year over the next 5 years by implementing a recycling plan. What is the value of the savings today if the appropriate interest rate for the firm is 8%. Assume that cash flows occur at the end of the year.Answer:n i PV FV PMT Result5 8 ? 0 $20,000 PV = $79,854.207.Stroll Inc. has been offered a $2,000,000 jet under a 10 year loan agreement. The loanrequires Stroll Inc. to make equal, annual, end-of-year payments that include both principal and interest on the outstanding balance. The interest rate on the loan is 11%. Calculate the amount of these annual payments.Answer:n i PV FV PMT Result10 11 –$2,000,000 0 ? PMT = $339,602.858.Herb Flint decides to put $2,000 a year into an IRA fund over his 35 year working life andthen retire. Assume the deposits are made at the end of the year. If the account earns 11% compounded annually, what will Herb have in the account when he retiresAnswer:n i PV FV PMT Result35 11 0 ? $2,000 FV = $683,179.119.Regarding retirement funds, there is some debate as to whether investors should invest atthe beginning of the year rather than at the end of the year. If an investor invests $2,000 per year at 12% over a 35 year period, what is the difference between the two funds?Answer: End of Year Fund:n i PV FV PMT Result35 12 0 ? $2,000 PV = $863,326.99Under an immediate annuity the entire amount earns interest for an additional year. So the FV for the immediate annuity is $863,326.99 X 1.12 = $996,926.23.Therefore the difference between the funds is: $996,926.23 – $863,326.99 = $103,599.24 10.You have the chance to buy a bond for $900 that will make one payment of $1,100 six yearsfrom today. What is the internal rate of return in the bond’s cash flows?Answer: 900(1 + i)6 = 1,100(1 + i)6 = 1.222i = (1.222)1/6 - 1i= 3.40%11.Consider the situation where you are trying to decide if you should invest in an Australianproject or an American project. Both projects require an initial outlay of $20,000. TheAustralian project will pay you Aust $40,000 per year for 6 years, whereas the American one will generate $25,000 per year for 6 years. The Australian dollar interest rate is 6% per year and the American interest rate is 5% per year; the current dollar price of an Australian dollar is $0.65 per Australian dollar. Which project has the higher NPV?Answer:American Project:n i PV FV PMT PV Result6 5 ? 0 $25,000 $126,892Australian Project:n i PV FV PMT PV Result6 6 ? 0 $40,000 $196,693 (Aust)NPV US project = $126,892 - $20,000 = $106,892Today the Australian project is worth A$196,693 x $0.65 per Aust= $127,850.45 (in U.S. dollars)NPV Aust project = $127,850.45 - $20,000 = $107,850.45Choose the Australian project since it has a higher NPV.12.If the exchange rate between the U.S. dollar and the Dutch Guilder is $0.49903 per Guilder,the dollar interest rate is 7% per year and the Dutch interest rate is 8% per year, what is the “break-even” value of the future dollar/Guilder exchange rate one year from now?Answer:Today One Year From Now$1 @7% $1.072.00389 Guilders @8% 2.16420 Guilders“Break-even” point = $1.07/2.16420 Guilders= $0.49441 per Guilder13.What is the real rate of interest if the nominal rate is 11.5% per year and the rate of inflationis 7% per year?14.Answer:Real interest rate = Nominal interest rate – rate of inflation1 + rate of inflation= 0.115 – 0.071.07= 0.04206Real interest rate = 4.21%15.I have $200 today and am interested in finding out what its equivalent real future value willbe in 40 years. What are the two ways I have available to me in computing the real future value?Answer:pute the future value using the real rate of interest.pute the nominal future value using the nominal rate, and then deflate it tofind the real future value.16.The real rate of interest is 3.756%, the nominal rate of interest is 10.5% and the rate ofinflation is 6.5%. What is the real future value of $2,000 in 40 years time Show bothmethods.Answer:Method One:Real future value = $,2000 x 1.0375640= $8,741Method Two:Nominal future value = $2,000 x 1.10540= $108,522.83Future price level = 1.06540= 12.16Real FV = nominal future valuefuture price level= $108,522.83 12.416 = $8,74117.As part of your new job at CyberInc. the company is providing you with a new Jeep. Yourfirm will lease this $34,000 Jeep for you. The terms of the lease are seven annual payments at an interest rate of 10%, which will fully amortize the cost of the car. Assuming that all payments are made on time and no additional money is paid towards the lease in any year, what percent of the 5th payment will go towards repayment of principal?18.Answer:n i PV FV PMT Result7 10 –$34,000 0 ? PMT = $6,984.39The monthly payment = $6,984.39Of the monthly payment, principal = $5,247% principal repayment in 5th payment =$5,247/$6,984.39= 75.12%19.You have decided to buy a car that costs $35,000. The dealer offers you a 5 year loan withmonthly payments of $814 per month. What is the annual interest rate on the loan?Answer:n i PV FV PMT Result60 ? –$35,000 0 $814 i = 1.165The annual nominal interest rate = 1.165 * 12= 13.98% per year20.A subscription to the magazine “National Tattler” states that you can purchase a one yearsubscription for $45 today, which can be renewed after a year at this rate. Alternately, you can purchase a two year subscription for $80 today. If you wish to subscribe to the magazine for two years and your required rate of return is 9% per year, which subscription offershould you choose?Answer:PV of the two year subscription = $80PV of one year subscription and renewal = $45 + 45/1.09= $86.28The two year subscription is the cheaper alternative.Longer Problems1.Heathcliff is currently 25 years old and expects to retire at age 65. Suppose that Heathclifftakes a job immediately and can earn $35,000 for the remainder of his working life. What is the present value of his future earnings?Answer:n i PV FV PMT Result40 5 ? 0 $35,000 PV = $600,5682.In order to finance your dream home, you are considering borrowing $120,000. The annualpercentage rate is 9% and payments are made annually over 5 years. Construct the loan-amortization schedule for the annual paymentsAnswer:n i PV FV PMT Result5 9 –$120,000 0 ? PMT = $30,856Loan Amortization Schedule is as follows:3.You are 60 years old and are considering whether it pays to buy an annuity from aninsurance company. For a cost of $25,000, the insurance company will pay you $3,000 per year for the rest of your life. If you can earn 8% per year on your money in a bank account and expect to live until age 80, is it worth buying the annuity What implied interest rate is the insurance company paying you4.Answer: First compute the present value of the annuity.n i PV FV PMT Result20 8 ? 0 $3,000 PV = $29,454.44Now compute the NPV of the investment of the annuity:NPV = $29,454.44 - $25,000= $4,454.44So the annuity looks worth buying.To compute the implied interest rate on the annuity, we need to find thediscount rate that makes the NPV zero. On a financial calculator, we find theanswer to be 10.32% per year.4. Gemma Peel is 30 years today and she wishes to accumulate enough money over the next 35 years to provide for a 20 year retirement annuity of $100,000 at the beginning of each year, starting with her 65th birthday. Assume the rate of the return over the entire period will be 11%. What is the present value of this annuity?Answer:n i PV FV PMT Result20 11 ? 0 $100,000 PV = $883,9295. The exchange rate between the Canadian dollar and the U.S. dollar is currently $0.69190 perCanadian dollar, the dollar interest rate is 6% per year, and the Canadian dollar interest rate is 7% per year. You have $100,000 in a one-year account that allows you to choose between either currency and it pays the corresponding interest rate. What is the “break-even” value of the dollar/Canadian dollar exchange rate one year from now?Answer:U.S. today One year from now $1 @6% $1.06Canadian today One year from now$1.44530(Cdn) @7% $1.54647“Break-even” point = $1.06/1.54647 (Cdn dollar)= $0.68543 per Canadian dollar6.Assume that you have just taken out a $300,000 30 year mortgage with monthly paymentsat an annual 8 percent rate. At the end of the 3rd year (after 36 payments), you begin paying an additional $100 each month towards the mortgage. That is, for months 37 onward you make the scheduled payment plus an extra $100 each month. To the nearest whole number, how many additional payments (payments in addition to the first 36) must you make before the mortgage is paid off?7.Answer:First compute the monthly payment-PV FV Interest N Result________-300,000 0 0.67 360 360 PMT = $2,201.29Initially, you made $2,201.29 for the first three years. After 36 payments, theremaining balance = $291,840.45. After period 37, compute number of additional payments now that your monthly payment is $2,301.29.PV FV Interest PMT Result__-$291,840.45 0 0.67 $2,301.29 N = 281You must make 281 additional payments before the mortgage is paid off.8.The company you work for has been experiencing financial difficulties and has just filed areorganization plan. Three years ago, one of the firm’s creditors lent the firm $80,000 on a ten year annual payment loan at a 15% interest rate. Immediately after the firm made the third payment, as a result of the court settlement, the creditor agreed to decrease thecurrent outstanding balance of the loan by 20%, to lower the interest rate to 10%, and to increase the remaining term of the loan to 15 years. What will be the new annual payments on the firm’s loan, assuming all these changes take place?Answer:Under the original plan, your firm had annual payment obligations of:n i PV FV PMT Result10 15 –$80,000 0 ? PMT = $15,940Originally, your firm had to pay $15,940 per year to its creditors.After the third balance, the remaining balance = $66,318Under the new arrangement, new outstanding balance = $66,318 X 0.80= $53,054Under the new payment arrangement, annual payments are:n i PV FV PMT Result15 10 –$53,054 0 ? PMT = $6,975.219.Five banks offer CDs at the following stated annual percentage rates:Bank A: 10% APR compounded annuallyBank B: 9.8% APR compounded semiannuallyBank C: 9.6% APR compounded quarterlyBank D: 9.5% APR compounded monthlyBank E: 9.4% APR compounded dailyAnton has inherited $150,000 and decides to invest the money in a 20 year CD. He decides to invest the money with Bank E. If Anton had invested his money in the CD offering the best rate instead of Bank E, how much more money would he have had after 20 years?Answer:First determine the effective annual rates at each bank.Bank A: Effective Annual Rate = 10% per yearBank B: Effective Annual Rate = 10.04% per yearBank C: Effective Annual Rate = 9.95% per yearBank D: Effective Annual Rate = 9.92% per yearBank E: Effective Annual Rate = 9.85% per yearBest Account = Bank BAfter 20 years, the FV at Bank B:n i PV FV PMT Result20 10.04 –$150,000 ? 0 FV = $1,016,489.49Compare the above with the FV at Bank E after 20 years:n i PV FV PMT Result20 9.85 –$150,000 ? 0 FV = $981,957.03If Anton had invested with Bank B, he would have earned $1,016,489.49 - $981,957.03 = $34,532.46 more.。

兹维博迪金融学第二版试题库17TB

Chapter SeventeenReal OptionsThis chapter contains 28 multiple choice questions, 10 short problems, and 5 longer problems.Multiple Choice1.There is a basic similarity between the options involved in investment projects and ________ optionson stocks.(a)switch(b)call(c)abandon(d)expandAnswer: (b)2.In comparing the similarity between options in investment projects and call options on stocks, thedecision maker has the ________ to buy something of value at a future date.(a)obligation(b)right but not the obligation(c)desire but not the right(d)financial meansAnswer: (b)3.In general, the ________ the uncertainty about future outcomes, the ________ the need to accountexplicitly for any options.(a)greater; greater(b)greater; less(c)less; greater(d)none of the aboveAnswer: (a)4.A(n) ________ in the uncertainty about a project's future payoffs ________ its value.(a)increase, decreases(b)increase, increases(c)decrease increases(d)increase, does not changeAnswer: (b)5.An option to ________ a project corresponds to an American put option.(a)defer(b)abandon(c)rescale(d)reverseAnswer: (b)6.An option to ________ allows the project to be expanded or contracted for some fixed price.(a)defer(b)abandon(c)rescale(d)reverseAnswer: (c)7.An option to ________ allows the postponement of the beginning of an investment project.(a)defer(b)abandon(c)rescale(d)reverseAnswer: (a)8.An option to ________ corresponds to an American call option.(a)defer(b)abandon(c)rescale(d)reverseAnswer: (a)9.If a company’s investment in a new project has a salvage va lue of zero, this investment is said to be________.(a)uncertain(b)irreversible(c)deferrable(d)mutableAnswer: (b)10.The option to ________ an investment decision is valuable even if the expected price in the future isequal to the current price.(a)defer(b)reverse(c)renew(d)obligateAnswer: (a)11.Taking management's flexibility explicitly into account ________ a project’s NPV.(a)decreases(b)increases(c)does not change(d)reversesAnswer: (b)12.________ can be used to determine a set of possible NPVs, with respect to variables within an project,to determine if the optimal strategy is to abandon, defer, or immediately proceed with the investment.(a)A decision tree(b)The APV method(c)Probability mapping(d)Sensitivity analysisAnswer: (d)13.The ________ formula can be applied to capital budgeting problems.(a)Dividend valuation(b)Capital structure valuation(c)Black-Scholes(d)all of the aboveAnswer: (c)14.In a capital budgeting framework, we can use the same valuation models developed to price________.(a)European exchange rate futures(b)American exchange rate futures(c)European preferred stock valuations(d)European call options on a stockAnswer: (d)15.In the context of option pricing, the value of flexibility ________ the volatility of the project.(a)undermines(b)is unaffected by(c)increases with(d)decreases withAnswer: (c)16.Failing to take into account the managerial options to delay the start of a project, or once started toexpand or abandon it, will cause an analyst evaluating the project to ________.(a)overestimate its NPV(b)underestimate its NPV(c)overestimate its initial costs(d)underestimate its initial costsAnswer: (b)17.A company is considering a new project that would require an initial investment of $5 million and inits second phase one year from now another investment of $105 million t o build a plant. From today’s perspective the value of the completed plant a year from now is a random variable with a mean of $110 million and a standard deviation of 0.2. The riskless interest rate is 5% per year. If one were to evaluate this investment with the Black-Scholes formula in order to take its flexibility into account, which of the following is true?(a)the value of E to be used in the formula is $110 million(b)the value of S to be used in the formula is $100 million(c)the value of C is found to be $8.02 million(d)none of the aboveAnswer: (b)18.True Blue Inc. is considering acquiring another firm, Mellow Yellow Inc. Let us assume that they areboth 100% equity financed firms, that is, neither firm has any debt outstanding. Each firm has 1 million shares of common stock outstanding that can be freely bought and sold in a competitive market. The current market value of Mellow Yellow Inc. is $50 million and its standard deviation is0.2. Suppose Mellow Yellow’s management offers True Blue an option to ac quire 100% of MellowYellow’s shares a year from now for $55 million. The riskless interest rate is 5% per year. If the option costs $2.25 million, the NPV is:(a)$5.27 million(b)$3.02 million(c)$0.77 million(d)$0Answer: (c)19.Consider the example in question 17. Assuming all other data remains the same, what would the NPVbe if the price to acquire Mellow Yellow’s stock were to $58 million instead of $55 million?(a)–$5.02 million(b)–$0.15 million(c)$2.1 million(d)$4.35 millionAnswer: (b)20.Consider the example in question 17. Assuming all other data remains the same, what would the NPVbe if Mellow Yellow’s standard deviation were 0.3 instead of 0.2?(a)(b)$0.85 million(c)$2.76 million(d)$5.01 millionAnswer: (c)21.Consider the example in question 17. What would the NPV be is the price to acquire Mellow Yellowwere $62 million instead of $55 million and its standard deviation were 0.4 instead of 0.2? Assume all other data remains the same.(a)$2.61 million(b)$4.86 million(c)$7.11 million(d)The NPV is the same as for the original data in question 17.Answer: (a)22.An option to abandon a project is an example of a(n) ________ option.(a)explicit purchase(b)managerial(c)call(d)irreversibleAnswer: (b)23.If a company is considering the acquisition of another company and has the opportunity to do so ayear from now the type of option this capital budgeting may entail is called a(n) ________ option.(a)explicit purchase(b)technical(c)growth(d)fundamentalAnswer: (a)24.Recognizing the similarity between call options and managerial options is important because________.(a)it clarifies the role of uncertainty in evaluating projects(b)it structures the analysis of investment projects as a sequence of management decisions overtime(c)it gives us a method for estimating the option value of projects by applying the quantitativemodels developed for valuing call options on stocks(d)all of the aboveAnswer: (d)e the Black-Scholes formula to calculate the value of an option where T = 2 years, = 0.3, theexercise price = $200 million, the current price is $181.41, and the riskless interest rate is 5% per year.(a)$15.86 million(b)$30.22 million(c)$30.66 million(d)$51.71 millionAnswer: (c)26.Consider Benedick Corp., which has the opportunity to invest in a hydro-electricity plant. An initialoutlay of $19 million is required to build the facility to house the equipment. In the second phase, one year from now, equipment costing $210 million must be purchased. Suppose from today's perspective the value of the plant a year from now is a random variable with a mean of $240 million and astandard deviation of 0.35 million. Use the Black-Scholes formula to compute the value of the option.(a)$22.15 million(b)$27.65 million(c)$27.89 million(d)$40.44 millionAnswer: (c)27.What is the NPV of the project in question 27?(a)$19 million(b)$8.89 million(c)$8.65 million(d)$3.15 millionAnswer: (b)28.Consider the scenario in question 27. If the standard deviation is changed to 0.25, what happens to thevalue of the option?(a)It is unchanged(b)It increases by approximately $8 million(c)It decreases by approximately $8 million(d)It is reduced by approximately 10%Answer: (c)pute the NPV of the project from question 27 if its standard deviation is now 0.25.(a)$0(b)$1 million(c)$12 million(d)$16.65 millionAnswer: (b)Short Problems1.What are some important “real options” a manger has with regards to investment projects? Why is itimportant to be aware of them?Answer:Many, if not most, corporate investment opportunities present the ability for managers to delaythe start of a project, or once started, to expand it or abandon it. Failure to take into accountthese real options will cause an analyst evaluating the project to underestimate its NPV.2.Discuss deferral, abandon, rescale options.Answer:The option to postpone the beginning of an investment project is a deferral option and can bemapped nicely into an American call option. Here the exercise price of the option is the project’s required initial investment and the maturity date of the option corresponds to the final decision point beyond which the decision cannot be postponed. An option to abandon a project corresponds to an American put option. The exercise price for the option would be the amount that must be paid to terminate the project. This could be a contracted amount or simply the market value of theproject if it is liquidated. On both sides of a deferral option and an option to abandon may liepossibilities to exercise an option to rescale the project where the project can be expanded orcontracted for some fixed price.3.What is the fundamental similarity between options in investment projects and call options on stocks?Answer:The fundamental similarity is that the decision maker has the right but not the obligation tobuy something of value at a future date.4.Discuss irreversibility in terms of an investment decision.Answer:Consider the situation of a company contemplating whether to invest in a factory. The investment is completely irreversible, meaning that the custom-built facility can be used to produce noalternative product nor can it be modified to do so except at a prohibitive cost. Hence after theinitial investment the factory immediately has no value in an alternative use. This is for practical purposes equivalent to assuming the salvage value is zero. Once the investment is undertaken the costs are sunk and cannot be recovered.ing the Black-Scholes formula, calculate the value of an option where T = 3 years, the standarddeviation of the annualized continuously compounded rate of return on stock = 0.3, the exercise price = $400 million, the current price of the stock is $350 million, and the riskless interest rate is 5% per year.Answer:S E r T σResult6. A new project would required a company to make an initial outlay of $125 million. In 3 years, phasetwo of the project would require the company to purchase buildings and equipment at a cost of $400 million. From today’s perspective the value of phase two when completed is a random variable with a mean of $425 million and a standard deviation of 0.4. The riskless interest rate is 5% per year.Compute the NPV of the investment. Should the project be undertaken?Answer:S E r T σResultNPV = C – Initial investment= $94.09 – $125 million= –$30.91 millionA project should only be undertaken if it has a positive NPV, so this project should not bepursued.7.See question 6. What happens to the NPV of the investment project if the volatility = 0.6?Answer:S E r T σResultNPV = C – Initial investment= $137.45 – $125 million= $12.44 millionThe increase in volatility results in an increases value of the call, making the NPV positive.8.Consider a firm, McIntyre Oil Corporation, which is considering the acquisition of another firm,Argyll Inc. Let us assume that both of these firms are both 100% equity financed firms, that is, neither firm has any debt outstanding. Each firm has 1 million shares of common stock outstanding that can be freely bought and sold in a competitive market. The current value of Argyll Inc. is $80 million and its standard deviation is 0.283. The riskless interest rate is 6%. Suppose Argyll'smanagement offers McIntyre Corp. an option to acquire 100% of Argyll's shares two years from now for $90 million. What is the value of the option?Answer:S E r T σResult9.Refer to question 8. Argyll offers the option to McIntyre at a price of $10 million. Is this investmentworthwhile to McIntyre?Answer:NPV = C – Initial investment= $12.76 million – $10 million= $2.76 millionSince the NPV is positive, the project is worthwhile10.A company is considering a new project that would require an initial investment of $5 million and inits second phase one year from now another investment of $105 mil lion to build a plant. From today’s perspective the value of the completed plant a year from now is a random variable with a mean of $110 million and a standard deviation of 0.2. The riskless interest rate is 5% per year. Discuss how one should view this situation in the context of the Black-Scholes formula.Answer:By undertaking the first phase of the project, the company would in effect be paying $5 million to “buy an option” that will mature in one year. The option is to undertake phase two of the pr oject, and its “exercise price” is $105 million. The present value of the completed project is $100 million.The Black-Scholes formula says that this option is worth approximately $8 million. The project, therefore, has a positive NPV of approximately $3 m illion, although if we ignore management’s option to discontinue the project after the first year and do a conventional DCF analysis the NPV is negative. Our conclusion is that taking management’s ﬂexibility explicitly into account increases a project’s NPV. Moreover, from the theory of option pricing, we know that the value of ﬂexibility increases with the volatility of the project.Longer Problems1.Discuss why it is important to recognize the similarities between call options and managerial or realoptions.Answer:(1) It helps in structuring the analysis of the investment project as a sequence ofmanagerial decisions over time.(2) It clarifies the role of uncertainty in evaluating projects.(3) It gives us a method for estimating the option value of projects by applying thequantitative models developed for valuing call options on stocks.2.Discuss the more complex real options of switching options and compound options.Answer:More complex real options would include switching options, which requires the payment of a fixed amount to change operating or production modes. An example would be an electric generatingplant that could switch between using alternative sources of fuel (perhaps coal and natural gas).The option to close down and restart a production line, or exit and then reenter a market are also examples of switching options that can be modeled as portfolios of American put and call options.Complex investment projects, which are typically organized into a set of alternative stages withcritical decision at the end of each stage, can be analyzed as compound options in which options on options exist. For example, a major drug company’s product cycles consist of a research stage in which alternative compounds are tested, a product development stage in which clinical trials are conducted, and a marketing stage in which the final product is brought to market. Each stageinvolves new investments that are conditional on exercise of the option to proceed with the previous stage.3.Discuss real options in the context of the movie industry.Answer:The movie industry provides a good example of the importance of real-option values in evaluating investment projects. Often a movie studio will buy the rights to a movie script and then wait todecide if and when to actually produce it. Thus, the studio has the option to wait. Once production starts, and at every subsequent step in the process, the studio has the option to discontinue theproject in response to information about cost overruns or changing tastes of the moviegoing public.Another very important managerial option in the movie business is the option of the ﬁlm studio to make sequels. If the original movie turns out to be a success, then the studio has the exclusive right to make additional movies with the same title and characters. The option to make sequels can be a signiﬁcant part of a movie project’s total value.4.W. Jofish Inc. is considering the acquisition of another firm, B.B. John Corp. Let us assume that bothof these firms are both 100% equity financed firms, that is, neither firm has any debt outstanding.Each firm has 1 million shares of common stock outstanding that can be freely bought and sold in a competitive market. The current value of B.B. John Corp. is $120 million and its standard deviation is0.3. The riskless interest rate is 5%. Suppose B.B. John Corp.’s management offers W. Jofish Inc. anoption to acquire 100% of B.B. John’s shares two years from now for $135 million. The option is priced at $10 million. What is the value of the option? Is this investment worthwhile to W. Jofish?How would the evaluation change if the standard deviation of B.B. John were actually 0.5 instead of0.3?Answer:S E r T σResultNPV = C – Initial investment= $10.98 million – $10 million= $0.98 millionSince the NPV is positive, the project is worthwhile.The value of flexibility increases with the volatility of the project, so we would expect the NPV to increase if the standard deviation increases:S E r T σResultNPV = C – Initial investment= $20.53 million – $10 million= $10.53 millionAs expected, the increase in volatility dramatically increases the NPV of the project.5. A company is considering a new project that would require an initial investment of $25 million and inits second phase one year from now another investment of $210 million to build a plant. From t oday’s perspective the value of the completed plant a year from now is a random variable with a mean of $225 million and a standard deviation of 0.35. The riskless interest rate is 5% per year. What is the NPV of the project?Answer:S E r T ResultNPV = C – Initial investment= $27.89 million – $25 million= $2.89 millionSince the project has a positive NPV, the company should pursue it.。

兹维博迪金融学第二版试题库10TB(1)

兹维博迪金融学第二版试题库10T B(1)-CAL-FENGHAI.-(YICAI)-Company One1Chapter TenPrinciples of Risk ManagementThis chapter contains 30 multiple choice questions, 10 short problems, and 5 longer problems. Multiple Choice1.________ that “matters” because if affects people's welfare. ________ exists whenever one doesnot know for sure what will occur in the future.(a)Uncertainty is risk; Uncertainty(b)Risk is uncertainty; Uncertainty(c)Risk is uncertainty; Risk(d)Uncertainty is risk; RiskAnswer: (b)2.________ is a measure of willingness to pay to reduce one's exposure to risk.(a)Risk aversion(b)Risk avariciousness(c)Risk predilection(d)Risk inflationAnswer: (a)3.When choosing among investment alternatives with the same expected rate of return, a risk averseindividual chooses the one with the ________ risk.(a)surest(b)most uncertain(c)lowest(d)highestAnswer: (c)14.________ is a particular type of risk people face because of the nature of their business or pattern ofconsumption.(a)Operational efficiency exposure(b)Opportunity exposure(c)Risk exposure(d)Risk reductionAnswer: (c)5.________ are investors who take positions that increase their exposure to certain risks in the hope ofincreasing their wealth.(a)Operations insurers(b)Foreign exporters(c)Hedgers(d)SpeculatorsAnswer: (d)6.The riskiness of an asset or a transaction ________ be assessed in isolation or in the abstract.(a)can(b)cannot(c)must(d)it varies according to the situationAnswer: (b)7.By definition, ________ are investors who take positions to reduce their exposures.(a)operations insurers(b)foreign exporters(c)hedgers(d)speculatorsAnswer: (c)28.The risk of loss arising from obsolescence due to technological change or changes in consumer tasteis an example of ________.(a)unemployment risk(b)liability risk(c)financial-asset risk(d)d consumer-durable asset riskAnswer: (d)9.The risk arising from holding different kinds of financial assets such as equities or fixed incomesecurities denominated in one or more currencies is an example of ________.(a)unemployment risk(b)liability risk(c)financial-asset risk(d)consumer-durable asset riskAnswer: (c)10.Business risks of the firm are borne by its ________.(a)shareholders(b)creditors(c)employees(d)all of the aboveAnswer: (d)11.________ consists of figuring out what the most important risk exposures are for the unit of analysis.(a)Risk assessment(b)Selection of risk management techniques(c)Implementation(d)Risk identificationAnswer: (d)312.Which of the following is most likely to need a lot of life insurance?(a)a single person with no dependents(b)a divorced person with no dependents(c) a double-income couple with no kids(d)married person with childrenAnswer: (d)13.________ is the quantification of the costs associated with the risks that have been identified in thefirst step of risk management.(a)Risk assessment(b)Selection of risk management techniques(c)Implementation(d)ReviewAnswer: (a)14.Selling a risky asset to someone else and buying insurance are examples of ________.(a)risk avoidance(b)loss prevention and control(c)risk transfer(d)risk retentionAnswer: (c)15.One is said to ________ a risk when the action taken to reduce one’s exposure to a loss also causesone to give up the possibility of a gain.(a)insure(b)diversify(c)hedge(d)pay a premium withAnswer: (c)416.When you ________ you pay a premium to eliminate the risk of loss and retain the potential for gain.(a)insure(b)diversify(c)hedge(d)speculateAnswer: (a)17.In order for diversification to reduce your risk exposure, the risks must be ________(a)less than perfectly correlated with each other(b)more than perfectly correlated with each other(c)uncorrelated(d)none of the aboveAnswer: (a)18.The demand for ways to manage risk has been increased by ________.(a)increased volatility of exchange rates(b)increased volatility of interest rates(c)increased volatility of commodity prices(d)all of the aboveAnswer: (d)19.Moral hazard and adverse selection are examples of ________.(a)transactions costs(b)incentive problems(c)transference costs(d)both a and bAnswer: (b)520.________ is defined as quantitative analysis for optimal risk management.(a)Portfolio theory(b)Corporate theory(c)Diversification theory(d)Probability theoryAnswer: (a)21.An asset portfolio's expected return is identified with the ________ of the distribution, and its riskwith the ________.(a)variance; average(b)mean; standard deviation(c)standard deviation; average(d)median; normal distributionAnswer: (b)22.Suppose you buy shares of RayFran stock at a price of $110 per share and intend to hold them for ayear. Suppose RayFran pays a dividend of $3.50 per share over that year. Compute the total rate of return on a share of RayFran stock if at the end of the year you sell it for $122.50 per share.(a)10.20%(b)11.36%(c)13.06%(d)14.55%Answer: (d)23.The ________ a stock's volatility, the ________ the range of possible outcomes and the ________ theprobabilities of those returns at the extremes of the range.(a)larger; narrower; larger(b)larger; narrower; smaller(c)larger; wider; larger(d)larger; wider; smallerAnswer: (c)624.Consider the probability distribution of rate of return on RayFran stock:Rate of Return Probability40% 0.2515% 0.55–8% 0.20Compute the expected rate of return on RayFran stock.(a)9.75%(b)15.60%(c)16.65%(d)19.85%Answer: (c)25.Refer to question 24. Now compute the standard deviation of RayFran stock.(a)12.95%(b)13.10%(c)16.10%(d)25.90%Answer: (c)26.Consider a stock with an expected return of 15% and a standard deviation of 8% that is normallydistributed. What is the 0.95 confidence interval for this stock's rate of return?(a)(7%, 23%)(b)(–9%, 39%)(c)(–1%, 39%)(d)(–1%, 31%)Answer: (d)7For questions 27 through 30, use the following table:27.What are the mean returns for Toys’R’Me and S.A.O. Rouge, respectively?(a)Toys R Me: 12.4%; S.A.O. Rouge: 10.2%(b)Toys R Me: 10.4%; S.A.O. Rouge: 7.4%(c)Toys R Me: 10.4%; S.A.O. Rouge: 10.2%(d)Toys R Me: 7.4%; S.A.O. Rouge: 10.4%Answer: (b)28.What is the standard deviation of returns for Toys R Me For S.A.O. Rouge29.(a)Toys R Me: 8.4%; S.A.O. Rouge: 7.4%(b)Toys R Me: 8.40%; S.A.O. Rouge: 8.16%(c)Toys R Me: 10.4%; S.A.O. Rouge: 7.4%(d)Toys R Me: 10.4%; S.A.O. Rouge: 8.16%Answer: (b)30.Suppose the returns for Toys R Me and S.A.O. Rouge are normally distributed. Determine the 0.68confidence interval for Toys R. Me.(a)(8.4%, 10.4%)(b)(–14.8%, 35.6%)(c)(–6.4%, 27.2%)(d)(2.00%; 18.80%)Answer: (d)831.Determine the 0.95 confidence interval for S.A.O. Rouge.(a)(7.14%, 8.16%)(b)(–0.76, 15.56%)(c)(-8.92, 23.72%)(d)(–17.08, 31.88%)Answer: (c)Short Problems1.Briefly distinguish between the three methods available to transfer risk: hedging, insuring anddiversifying.Answer:Hedging: One is said to hedge a risk when the action taken to reduce one’s exposure toa loss also causes one to give up the possibility of a gain.Insuring: Insuring means paying a premium to eliminate the risk of loss and retain thepotential for gain.Diversifying: Diversifying means holding similar amounts of many risky assets instead ofconcentrating all of your investment in only one. Diversification thereby limits yourexposure to the risk of any single asset.2.Outline the steps in the risk-management process.Answer:The risk management process can be broken down into five steps:1. Risk identification2. Risk assessment3. Selection of risk management techniques4. Implementation5. Review93.Think of a bookstore. What risks is such a business exposed to, and who bears them?4.Answer:Major risks:Risk that inventory will not arrive on timeRisk that employees will be late or absentRisk that computers/registers will break downRisk of new competition in the area (especially - the “superstores”)Risk that distributors' prices will increase dramaticallyThese risks are borne by shareholders, owners, employees, creditors, customers,suppliers.5.Explain why the sale/purchase of a house is similar to a forward contract in nature.Answer:Both parties eliminate the uncertainty associated with price volatility in the housingmarket during the months of settling the contract between them. Even though the transferof ownership for the house won't happen for many months, the buyer and seller of ahouse can contractually settle on a transaction price for the house.6.Explain the difference between insuring and hedging.Answer:When you hedge, you eliminate the risk of loss by giving up the potential for gain.However, when you insure, you pay a premium to eliminate the risk of loss and retain thepotential for gain.7.Discuss the two factors limiting the efficient allocation of risks.Answer:Transactions costs and incentive problems are the two key factors limiting the efficientallocation of risks. Transactions costs include the costs of establishing and runninginstitutions such as insurance companies or securities exchanges and the costs of writingand enforcing contracts.Moral hazard and adverse selection are examples of incentive problems, which stand inthe way of the development of institutions for efficient risk sharing. Moral hazard existswhen having insurance against some risk causes the insured party to take greater risk orto take less care in preventing the event that gives rise to the loss.The problem with adverse selection relates to the fact that those who purchase insuranceagainst risk are more likely than the general population to be at risk.108.In the case of insuring a ship, explain how the moral hazard problem can lead to unwillingness on thepart of the insurance company to insure against certain types of risk.Answer:If a ship owner buys insurance for his vessel, the existence of insurance may reduce theowner's incentive to spend money on the upkeep of the vessel. Failure to take suchprecautions makes a safety hazard a more likely occurrence. In an extreme case, theowner may be tempted to sabotage the ship in order to collect the insurance money, if thecoverage exceeds the market value of the ship.Due to this potential moral hazard, companies may limit the amount they will insure orsimply refuse to insure under certain circumstances or require rigid inspections of avessel to make sure its meets minimum safety standards.Consider the following table to answer questions 8 through 10:9.What is the mean share for OutDell For MiniMoo10.Answer:OutDell:E(r) = [–10% + (–2%) + 5% + 10% + 18%]/5= 4.2%MiniMoo:E(r) = [5% + 15% +(– 7%) + 12% + 22%]/5= 9.4%MiniMoo has the higher expected return.1111.What is the standard deviation of returns for OutDell For MiniMoo12.Answer:OutDell:SD=15[(-10%-4.2%2)+(-2%-4.2%2)+(5%-4.2%2)+(10%-4.2%2)+(18%-4.2%2)]SD=15(464.80%)SD=9.64%MiniMoo:SD=15[(5%-9.4%2)+(15%-9.42%)+(-7%-9.4%2)+(12%-9.4%2)+(22%-9.4%2)]SD=15(485.20%)SD=9.85%13.Suppose the returns for OutDell and MiniMoo have normally distributed returns with means andstandard deviations calculated in questions 8 and 9. For each stock, determine the range of returns within two standard deviations of the mean.Answer:OutDell:0.95 confidence interval = 4.2 ± (2 x 9.64)= 4.2 ± 19.28= (–15.08%, 23.48%)MiniMoo:0.95 confidence interval = 9.4 ± (2 x 9.85)= 9.4 ± 19.70= (–10.30%, 29.10%)12Challenging Questions1.Consider the following investment opportunity. You have the opportunity to open a restaurant in yourtown for $180,000. If business is healthy and strong, you could net $100,000 in after-tax cash flows each year over the next six years.a) Would you consider hedging or insuring Whyb) What risk is such a business exposed to:Answer:a) You would be more likely to consider insuring. You would insure the restaurantagainst fire or other disasters, take all necessary safety precautions. You wouldalso want to retain the potential for gain in operating your business.b) Risk that employees will be late or absent.Risk that inventory will not arrive on time.Risk that equipment will break down.Risk that fire may occur.Risk that restaurant may be robbed.Risk that the restaurant may be vandalized.Risk that raw material prices will increase unpredictability.Risk of new competition in the area.2.Consider a person's life cycle - that is, at various ages say, mid-twenties, late thirties to early forties,mid-fifties and late sixties and beyond. What risks is a person likely to face in each of these age groups and how would cash, bonds and stocks be perceived at these various stages of life?Answer:Mid-twenties: A person may tend to be more aggressive in terms of risk tolerance. Stocksare more likely to be the choice of investment, followed by bonds and cash.Late thirties to early forties: For “DINK,” the capacity for risk is still quite high.However, those who are parents may be faced with college tuition, life insurance, etc. sosome risk options diminish. A person in this group would perhaps be a little lessaggressive with stocks.Mid-fifties: People in this group need to start thinking more about retirement and incomeprotection. Major health costs may also be a consideration as it is for people in the sixtiesand beyond group. There tends to be little or no capacity for risk and the securities orinvestments sought at this stage tend to be very conservative.13e the following table:a) Compute the mean return on DinkiDi stock.b) Compute the standard deviation on DinkiDi stock.c) Comment on value you obtained in (b).Answer:a. E(r) = (0.20)(60%) + (0.60)(12%) + (0.20)(–20%)E(r) = 12% + 7.2% + (–4%)E(r) = 15.2%b.SD=0.20(60%-15.2%2)+0.60(12%-15.2%2)+0.20(-20%-15.2%2)SD=401.408%+6.144%+247.808%SD=25.6%c. On its own, the value obtained in (b) does not mean as much as it would were itcompared relative to another number or some industry standard.4.Suppose you are a U.K. citizen who has won a writer’s 30,000 pound scholarship to study in France.How can you hedge your foreign exchange risk How can you insure against it5.Answer:To hedge the risk you would enter into a contract now to sell your 30,000 pounds at afixed per euro.To insure against a decline in the euro price of the pound, you could pay a premium nofor a put option that would give you the right to sell your 30,000 pound scholarship at afixed euro price per pound.14e the table below:a) What is the mean return for DinkiDi For SirPassb) What is the standard deviation for DinkiDi For SirPassc) Suppose the returns for DinkiDi and SirPass have normally distributed returns withmeans and standard deviations calculated in both a and b. Calculate the range of returnswithin two expected deviations of the mean.Answer:a. DinkiDi:E(r) = 1/6 (11 + 16 – 5 – 3 + 15 + 8)= 7%SirPass:E(r) = 1/6 (8 + 17 – 7 – 4 + 17 + 11)= 7%Both stocks have the same mean return.b. DinkiDi:σ= 16 (406%)= 8.23% SirPass:σ= 16 (534%)= 9.43%SirPass has a wider dispersion or higher volatility.c. 0.95 confidence intervals:DinkiDi: 0.95 Confidence Intervals = 7 ± (2 x 8.23)= (–9.46%, 23.46%)SirPass: 0.95 Confidence Intervals =7 ± (2 x 9.43)= (–11.86%, 25.86%)15。

博迪《金融学》第2版课后习题及详解(金融学)【圣才出品】

博迪《金融学》第2版课后习题及详解第1章金融学一、概念题1．金融学（finance）答：金融学是一项针对人们怎样跨期配置稀缺资源的研究。

其主要研究货币领域的理论及货币资本资源的配置与选择、货币与经济的关系及货币对经济的影响、现代银行体系的理论和经营活动的经济学科，是当代经济学的一个相对独立而又极为重要的分支。

金融学所涵盖的内容极为丰富，诸如货币原理、货币信用与利息原理、金融市场与银行体系、储蓄与投资、保险、信托、证券交易、货币理论、货币政策、汇率及国际金融等。

2．金融体系（financial system）答：金融体系是金融市场以及其他金融机构的集合，这些集合被用于金融合同的订立以及资产和风险的交换。

金融体系是由连接资金盈余者和资金短缺者的一系列金融中介机构和金融市场共同构成的一个有机体，包括股票、债券和其他金融工具的市场、金融中介（如银行和保险公司）、金融服务公司（如金融咨询公司）以及监控管理所有这些单位的管理机构等。

研究金融体系如何发展演变是金融学科的重要方面。

3．资产（assets）答：资产是指个人、公司或者组织拥有的具有商业或交换价值的任何物品，它能在未来产生经济利益，资产有三个非常重要的特征：①能在未来产生经济利益；②由实体控制；③由过去发生的事项或交易产生。

在国民账户体系中，资产是指经济资产，即所有者能对其行使所有权，并在持有或使用期间可以从中获得经济利益的资源或实体。

资产可分为金融资产和非金融资产两大类。

金融资产是指以价值形态或以金融工具形式存在的资产，它包括金融债权以及货币黄金和特别提款权。

非金融资产是指非金融性的资产，它包括生产资产和非生产资产。

在企业财务会计中，资产是指由过去的交易和事项所形成的，并由企业拥有或控制，预期会给企业带来经济利益的资源。

按流动性可分为流动资产和非流动资产两大类。

流动资产是指企业可以在一年或超过一年的一个营业周期内变现或者耗用的资产。

非流动资产是指不能在一年或者超过一年的一个营业周期内变现或耗用的资产。

博迪《金融学》第2版课后习题及详解（居民户的储蓄和投资决策）【圣才出品】

博迪《⾦融学》第2版课后习题及详解（居民户的储蓄和投资决策）【圣才出品】博迪《⾦融学》第2版课后习题及详解第5章居民户的储蓄和投资决策⼀、概念题1．⼈⼒资本（human capital）答：⼈⼒资本是指劳动者受到教育、培训、实践经验、迁移、保健等⽅⾯的投资⽽获得的知识和技能的积累，亦称“⾮物⼒资本”。

由于这种知识与技能可以为其所有者带来⼯资等收益，因⽽形成了⼀种特定的资本——⼈⼒资本。

任何使⼈⼒资本增值的活动都是⼈⼒资本投资，包括医疗和保健、在职⼈员培训、正规教育、成⼈教育与培训、迁移者⼯作搜寻等等。

⼈⼒资本投资的决策是⼀种收益与成本的权衡，其成本包括：实际的费⽤或直接的费⽤、放弃的⼯资报酬以及⼼理成本。

投资的预期收益可能是以各种形式表现出来的，⽐如较⾼的未来收⼊、终⾝⼯作满意程度的提⾼、对娱乐活动欣赏⽔平的提⾼以及欣赏兴趣的增长等。

2．永久性收⼊（permanent income）答：永久性收⼊是指消费者可以预期到的长期收⼊，即预期在较长时期中（3年以上）可以维持的稳定的收⼊流量。

永久性收⼊是弗⾥德曼持久收⼊假说中的重要概念，⼤致可以根据所观察到的若⼲年收⼊的数值的加权平均数来计算，估算持久收⼊的计算公式为：YP T=Y T-1＋θ（Y T－Y T-1）=θY T－（1－θ）Y T-1（0＜θ＜1）式中，YP T为现期永久性收⼊，Y T为现期收⼊，Y T-1为前期收⼊，θ为加权数。

该公式说明，现期的永久性收⼊等于前期收⼊和两个时期收⼊变动的⼀定⽐率，或者说等于现期收⼊和前期收⼊的加权平均数。

加权数的⼤⼩取决于⼈们对未来收⼊的预期，这种预期要根据过去的经验进⾏修改，称为适应性预期。

如果⼈们认为前期和后期收⼊变动的时间较长，θ就⼤；反之，前期和后期收⼊变动的时间较短，θ就⼩。

3．跨期预算约束（inter-temporal budget constraint）答：跨期预算约束是指决定⼀⽣消费计划时⾯临的约束条件，即⼀⽣的消费开⽀和遗产的现值等于包括初始财产和未来劳动收⼊在内的⼀⽣资源的现值。

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Chapter SevenPrinciples of Market ValuationThis chapter contains 30 multiple choice questions, 10 short problems and 5longer problems.Multiple Choice1.In regard to an asset, the ________ is defined as the process well-informedinvestors must pay for it in a free and competitive market.(a)analyst value(b)technical value(c)competitive value(d)fundamental valueAnswer: (d)2.In corporate finance decision making, an extremely important rule is tochoose the investment that ________ current shareholders’ wealth.(a)minimizes(b)maximizes(c)provides zero change in(d)jeopardizesAnswer: (b)3.In asset valuation, the method used to accomplish the estimation depends onthe ________.(a)number of participants(b)quality of calculating instruments(c)richness of the information set available(d)geographic locationAnswer: (c)4.The ________ states that in a competitive market, if two assets areequivalent, they will tend to have the same market price.(a)Law of Real Interest Rates(b)Law of One Price(c)Law of Price Equivalency(d)Law of FuturesAnswer: (b)5.The Law of One Price is enforced by a process called ________, the purchaseand immediate sale of equivalent assets in order to earn a sure profit froma difference in their prices.(a)swapping(b)maximization(c)arbitrage(d)speculationAnswer: (c)6.________ refers to the totality of costs such as shipping, handling,insuring, and broker fees.(a)Shipping costs(b)Transaction costs(c)Installation costs(d)Insurance costsAnswer: (b)7.The Law of One price is a statement about the price of one asset ________the price of another.(a)absolute to(b)relative to(c)multiplied by(d)independent ofAnswer: (b)8.If an entity borrows at a lower rate and lends at a higher rate, this is anexample of ________.(a)opportunity arbitrage(b)interest-rate arbitrage(c)exchange arbitrage(d)nominal arbitrageAnswer: (b)9.If arbitrage ensures that any three currencies are freely convertible incompetitive markets, then:(a)it is enough to know only one exchange rate to determine the third(b)we can estimate two exchange rates based on one exchange rate only(c)it is enough to know the exchange rates between any two in order todetermine the third(d)it is necessary to know all three ratesAnswer: (c)10.Suppose you have $15,000 in a bank account earning an interest rate of 4%per year. At the same time you have an unpaid balance on your credit card of $6,000 on which you are paying an interest rate of 17% per year. Whatarbitrage opportunity do you face?(a)$240 per year(b)$600 per year(c)$780 per year(d)$1,020 per yearAnswer: (c)11.If the dollar price of Japanese Yen is $0.009594 per Japanese Yen and thedollar price of Chinese Yuan is $0.1433 per Chinese Yuan, what is theJapanese Yen price of a Chinese Yuan? (i.e., JPY/CNY)(a)0.001375 JPY/CNY(b)0.066950 JPY/CNY(c)9.594 JPY/CNY(d)14.936419 JPY/CNYAnswer: (d)12.If the dollar price of guilders is $0.5634 per Guilder and the dollar priceof Euros is $1.5576 per Euro, what is the Euro price of the Guilder? (i.e.,EUR/ANG)(a)0.361700 EUR/ANG(b)0.877552 EUR/ANG(c) 2.764643 EUR/ANG(d) 5.634 EUR/ANGAnswer: (d)13.Suppose the price of gold is 51.09 British pounds per ounce. If the dollarprice of gold is $100 per ounce, what would you expect the dollar price ofa British pound to be?(a)$1.95733 per GBP(b)$1.5109 per GBP(c)$0.5109 per GBP(d)$0.4891 per GBPAnswer: (a)Questions 14-18 refer to the following exchange rate table. To answer 14-18you will have to fill in the missing exchange rates.Peso (MXN) Euro (EUR) Cdn Dlr (CAD) U.S. Dollar(USD)U.S. Dollar $1Peso 10.398Euro 0.6420Cdn Dlr 1.000314.What is the Euro/Peso exchange rate? (i.e., EUR/MXN)(a)0.617426EUR/MXN(b)0.641807 EUR/MXN(c) 6.675516 EUR/MXN(d)16.196262 EUR/MXNAnswer: (a)15.What is the Cdn Dlr/Euro exchange rate? (i.e., CAD/EUR)(a)0.641807 CAD/EUR(b) 1.558099 CAD/EUR(c) 6.420 CAD/EUR(d)16.196262 CAD/EURAnswer: (b)16.What is the Euro/Cdn Dlr exchange rate? (i.e., EUR/CAD)(a)0.3583 EUR/CAD(b)0.641807 EUR/CAD(c) 1.558099 EUR/CAD(d)10.394 EUR/CADAnswer: (b)17.What is the Peso/Cdn Dlr exchange rate? (i.e., MXN/CAD)(a)0.096201 MXN/CAD(b)0.641807 MXN/CAD(c)10.394882 MXN/CAD(d)16.196262 MXN/CADAnswer: (c)18.What is the Peso/Euro exchange rate? (i.e., MXN/EUR)(a)0.617426 MXN/EUR(b) 6.675516 MXN/EUR(c)15.581112 MXN/EUR(d)16.196262 MXN/EURAnswer: (d)19.You are travelling in FarOut where you can buy 130 kranes (a krane beingthe unit of currency of FarOut) with a U.S. dollar at official FarOut banks.Your tour guide has a relative who dabbles in the black market and thisparticular relative will sell you kranes for just $0.00833 each on theblack market. How much will you lose or gain by exchanging $200 on theblack market instead of going to the bank?(a)you would gain approximately 1,660 kranes(b)you would lose approximately 1,660 kranes(c)you would gain approximately 1,990 kranes(d)you would lose approximately 1,990 kranesAnswer: (d)20.In estimating the value of a share of a firm’s stock, a simple model isto :(a)divide EPS by a P/E multiple(b)multiply EPS by a P/E multiple(c)multiply EPS by EAT(d)divide EPS by market valueAnswer: (b)21.A firm’s earnings per share are $6 and the industry average P/E multipleis 9. What would be an estimate of the value of a share of the firm’s stock?(a)$54.00(b)$45.00(c)$1.50(d)$0.67Answer: (a)22.The value of the asset as it appears in the financial statement is calledthe asset’s ________.(a)market value(b)fixed value(c)book value(d)expected value Answer: (c)23.Consider the following stock market reaction to the information containedin a company’s announcement. A corporation has just announced that it must pursue the issuance of company equity. We could expect to see ________ inthe price of company stock.(a) a rise(b) a drop(c) a rapid rise(d)zero changeAnswer: (b)24.Consider what the stock market reaction to the following announcement wouldbe. A corporation has just announced that it is engaging in a stock splitof the company’s shares. We could expect to see a ________ in the overall market capitalization rate and a ________ in the price of company stock.(a)rise; drop(b)drop; rise(c)rise; drop(d)rise; dropAnswer: (a)25.The ________ is the proposition that an asset’s current price fullyreflects all publicly available information about future economicfundamentals affecting the asset’s value.(a)public markets hypothesis(b)efficient markets exchange rates(c)fundamental value proposition(d)efficient markets hypothesisAnswer: (d)26.The market price of an asset reflects the ________ of all analysts’opinions with heavier weights on analysts who control large amounts ofmoney and on those analysts who have better than average information.(a)best estimate(b)weighted average(c)highest estimate(d)lowest estimate Answer: (b)27.Assume that the worldwide risk-free real rate of interest is 4% per year.Inflation in Denmark is 9% per year and in the United States it is 7% peryear. Assuming there is no uncertainty about inflation, what are theimplied nominal interest rates denominated in Danish krone and in U.S.dollars, respectively?(a)16.63% (DKK); 13.50% (USD)(b)13.50% (DKK); 16.63% (USD)(c)13.36% (DKK); 11.28% (USD)(d)11.28% (DKK); 13.36% (USD)Answer: (c)28.The ________ theory states that the expected real interest rate on risk-free loans is the same all over the world.(a)nominal interest-rate parity(b)real interest-rate parity(c)efficient inflation rate parity(d)efficient market rateAnswer: (b)29.________ states that exchange rates adjust so as to maintain the same“real” price of a “representative” basket of goods and services aroundthe world.(a)Purchasing power parity(b)Efficient markets hypothesis(c)Market valuation model(d)Exchange rate equityAnswer: (a)30.Assume that the worldwide risk-free real rate of interest is 5% per year.Inflation in Australia is 9% per year and in Great Britain it is 12% peryear. Assuming there is no uncertainty about inflation, what are the implied nominal interest rates denominated in Australian dollars and GreatBritain pounds, respectively?(a)22.08% (AUD), 11.45% (GBP)(b)11.45% (AUD), 22.08% (GBP)(c)17.60% (AUD), 14.45% (GBP)(d)14.45% (AUD), 17.60% (GBP) Answer: (d)Short Problems1.Suppose you have $20,000 in a bank account earning an interest rate of 4%per year. At the same time you have an unpaid balance on your credit cardof $7,000 on which you are paying an interest rate of 18% per year. What isthe arbitrage opportunity you face?Answer: You could take $7,000 out of your bank account and pay downyour credit card balance. You would give up 4% per year in interestearnings ($280) but you would save 18% per year in interest expenses($1,260). So the arbitrage opportunity is worth $980 per year.2.Fill in the missing exchange rates in the following table:U.S. Dollar Euro Danish Krone Japanese Yen U.S. Dollar $1 1.5576 0.2088 0.009594Euro 0.6420Danish Krone 4.7898Japanese Yen 104.23Answer:U.S. Dollar Euro Danish Krone Japanese Yen U.S. Dollar $1 1.5576 0.2088 0.009594Euro 0.6420 1 Euro 0.1340 0.006159 Danish Krone 4.7898 7.46074 1 Krone 0.45954 Japanese Yen 104.23 162.35 21.761 Yen 13.You observe that the dollar price of the Mexican peso is $0.09618 and thedollar price of the Canadian dollar is $0.9997. What must the exchange ratebetween the Mexican peso and the Canadian dollar be for there to be no arbitrage opportunity?Answer: CAD/MXN = 0.096180.9997= 0.096208 CAD/MXN4.Suppose that the exchange rate is $0.2970 to the Israeli shekel. How couldyou make arbitrage profits with $10,000 if the dollar price of gold is $200per ounce and the shekel price is 750 ILS per ounce?Answer: Take $10,000 and buy 50 ounces of gold at $200 per ounce. Sell 50ounces of gold in Israel for 37,500 ILS (750 ILS per ounce). Take 37,500ILS and exchange it into dollars worth $11,137.50. The arbitrage profit is$1,137.50.5.You are travelling in FarOut where you can buy 150 kranes (a krane beingthe unit of currency in FarOut) with a U.S. dollar at official FarOut banks.Your tour guide has a relative who dabbles in the black market and this particular relative will sell you kranes for just $0.00685 each on the black market. How much would you gain or lose by exchanging $300 on the black market instead of going to the bank?Answer:On the official market: $300 x 150 kranes = 45,000 kranesOn the black market: $300 x 1/0.00685 kranes = 43,796 kranesHence, you would lose 1,204 kranes.6. A firm’s earnings per share are $5.50 and the industry average P/Emultiple is 8. What would be an estimate of the value of a share of the firm’s stock? Is it possible for firms being classified in the same industry to have different price/earnings multiples?Answer:Estimated value share of stock = firm’s EPS x Industry average P/E= $5.50 x 8= $44.00Firms classified as being in the same industry may have different opportunities for growth in the future and may therefore differ in their P/E multiples.7.The P/E multiple of BHM Corporation is currently 5, while the P/E ratio ofthe S&P 500 is 10. What reasons could account for this difference?Answer:BHM’s reported earnings may be higher than they are expected to bein the future, or they may be inflated due to special accountingmethods used by BHM.BHM may be riskier than the S&P 500 either because it is in arelatively risky industry or has a relatively higher debt ratio.8.The price of Hubris Co. stock recently jumped when the CEO for the companyannounced an increased dividend payment for the year. What might account for such a market reaction?Answer: The market may believe the company’s future prospects look very bright (that is, higher earnings, less risk, sound growth, etc.)and that the company can sustain such an earnings growth.9.Assume that the worldwide risk-free real rate of interest is 4% per year.Denmark has an expected rate of inflation of 9% per year and in Spain hasan expected rate of inflation of 14% per year. Assuming there is no uncertainty about inflation, what are the implied nominal interest rates denominated in Kroner and Euros?Answer: Denmark: nominal interest rate = (1.04) x (1.09) – 1= 13.36% per yearSpain: nominal interest rate = (1.04) x (1.14) –1= 18.56% per year10.Assume that the worldwide risk-free real rate of interest is 4% per year.The United Kingdom has an expected rate of inflation of 8% per year and inBelgium it is 10% per year. Assuming there is no uncertainty about inflation, what are the implied nominal interest rates denominated in Pounds Sterling and Euros?Answer: United Kingdom: nominal interest rate = (1.04) x (1.08) – 1= 12.32% per yearBelgium: nominal interest rate = (1.04) x (1.10) – 1= 14.40% per yearLonger Problems1.Let’s assume that you have operated your own business for 18 years. Forthe most recent fiscal year, sales were $15 million. Net Income for themost recent fiscal year was $1.5 million. The book value of your businesswas $11 million. Recently, a firm which is engaged in similar activities toyour own was sold and the following information was made public:Multiple of Book Value 0.8xMultiple of Net Income 11xMultiple of Sales 0.7xa)How would you determine an appropriate range of value for yourcompany?b)It has come to your attention that your company has futureinvestment opportunities that would be less profitable than thecompeting company above. What does this say about the valuation ofyour company?Answer: a) Multiple of Sales: 0.7x = $15 million x 0.7 =$10.5 millionMultiple of Net Income: 11x = $1.5 million x 11 = $16.5millionMultiple of Book Value: 0.8x = $11 million x 0.8 = $8.8millionb) The valuation of your company would be at the lower end ofthe range.2.BHM stock is trading for $47 per share on the NYSE and $45 per share on theSydney Stock Exchange. Assume that the costs of buying and selling BHMstock are negligible.a)How can you make an arbitrage profit?b)Over time what would you expect to happen to stock prices in NewYork and Sydney?c)Now assume that the cost of buying and selling shares of BHM are 2%per transaction. How does this affect your answers?Answer: a) You could buy BHM stock in Sydney and simultaneouslysell it in New York. Your arbitrage profit would be$2 per share.b)The prices would become equal.c)There could remain a 2% discrepancy between theprices which would be $1.84 in this instance.3.Suppose you have $50,000 in a bank account earning an interest rate of 3.5%per year. At the same time you have an unpaid balance on your credit cardof $13,000 on which you are paying an interest rate of 21% per year. Whatis the arbitrage opportunity you face?Answer: You could take $13,000 out of your bank account and pay downyour credit card balance. You would give up 3.5% per year in interestearnings ($455) but you would save 21% per year in interest expenses($2,730). So the arbitrage opportunity is worth $2,275 per year.4.The quotes from Hubris Bank and Modesty Bank are given below:Hubris Bank: 106 Yen/$Modesty Bank: 104 Yen/$Answer the following questions based on these figures.a)If we assume no transaction costs, there is evidently an opportunityfor arbitrage here. If an arbitrageur started with $10,000, exactlyhow would (s)he make profits and how much profit would (s)he make?b)As many traders engage in arbitrage who do you expect to see in theabove quotes at these two banks?c)If there is a 1% transaction cost for transactions is there still anopportunity for arbitrage?Answer:Hubris Bank: 106 Yen/$ Modesty Bank: 104 Yen/$a)At Hubris Bank, buy Yen with dollars (Yen are cheaper).At Modesty Bank, buy dollars with Yen (dollars are cheaper).Start with $10,000:At Hubris Bank: $10,000 x 106 Yen/$ = 1,060,000 YenAt Modesty Bank: 1,060,000 Yen x 1$/104 Yen = $10,192.31You make a profit of $192.31.b)The Yen will appreciate at Hubris Bank and it will depreciate atModesty Bank. Eventually the exchange rate will stabilize between106 Yen/$ and 104 Yen/$.c)Assume 1% transaction cost.At Hubris Bank: $10,000 (0.99) x 106 Yen/$ = 1,049,400 Yen At Modesty Bank: 1,049,400 Yen x (0.99) x $1/104 Yen =$10,090.38There is still an opportunity for arbitrage profit, but it hasdecreased from $192.31 to $90.38.实用标准文案5.In the United States, the real rate of return is expected to be 5% and inSwitzerland it is expected to be 4%.a)If the inflation rate in the United States is expected to be 6%and the Swiss inflation rate is expected to be 8%, what will thenominal interest rates be in the United States and Switzerland?b)Are these markets in equilibrium? Where would you prefer toinvest and why?c)What if the Swiss inflation rate were 6%? Are the markets inequilibrium?d)What are the respective nominal rates if the worldwide risk-freereal rate of return is 4% and inflation in the U.S. is 6% and inSwitzerland it is 8%?Answer:a) United States: Nominal interest rate = (1.05)(1.06) – 1= 11.30% per yearSwitzerland: Nominal interest rate = (1.04)(1.08) – 1= 12.32% per yearb)The markets are not in equilibrium. Investors will go where thereal rate is highest. That is, in the U.S.c) United States: Nominal interest rate = (1.05)(1.06)– 1= 11.30% per yearSwitzerland: Nominal interest rate = (1.04)(1.06) – 1= 10.24% per yearMarkets are still not in equilibrium.d) United States: Nominal interest rate = (1.04)(1.06) – 1= 10.24% per yearSwitzerland: Nominal interest rate = (1.04)(1.08) – 1= 12.32% per year精彩文档。