英文版罗斯公司理财习题答案Chap013
公司理财罗斯课后习题答案
公司理财罗斯课后习题答案集团标准化工作小组 [Q8QX9QT-X8QQB8Q8-NQ8QJ8-M8QMN]第一章1.在所有权形式的公司中,股东是公司的所有者。
股东选举公司的董事会,董事会任命该公司的管理层。
企业的所有权和控制权分离的组织形式是导致的代理关系存在的主要原因。
管理者可能追求自身或别人的利益最大化,而不是股东的利益最大化。
在这种环境下,他们可能因为目标不一致而存在代理问题。
2.非营利公司经常追求社会或政治任务等各种目标。
非营利公司财务管理的目标是获取并有效使用资金以最大限度地实现组织的社会使命。
3.这句话是不正确的。
管理者实施财务管理的目标就是最大化现有股票的每股价值,当前的股票价值反映了短期和长期的风险、时间以及未来现金流量。
4.有两种结论。
一种极端,在市场经济中所有的东西都被定价。
因此所有目标都有一个最优水平,包括避免不道德或非法的行为,股票价值最大化。
另一种极端,我们可以认为这是非经济现象,最好的处理方式是通过政治手段。
一个经典的思考问题给出了这种争论的答案:公司估计提高某种产品安全性的成本是30美元万。
然而,该公司认为提高产品的安全性只会节省20美元万。
请问公司应该怎么做呢”5.财务管理的目标都是相同的,但实现目标的最好方式可能是不同的,因为不同的国家有不同的社会、政治环境和经济制度。
6.管理层的目标是最大化股东现有股票的每股价值。
如果管理层认为能提高公司利润,使股价超过35美元,那么他们应该展开对恶意收购的斗争。
如果管理层认为该投标人或其它未知的投标人将支付超过每股35美元的价格收购公司,那么他们也应该展开斗争。
然而,如果管理层不能增加企业的价值,并且没有其他更高的投标价格,那么管理层不是在为股东的最大化权益行事。
现在的管理层经常在公司面临这些恶意收购的情况时迷失自己的方向。
7.其他国家的代理问题并不严重,主要取决于其他国家的私人投资者占比重较小。
较少的私人投资者能减少不同的企业目标。
英文版罗斯公司理财习题答案ChapWord版
CHAPTER 8MAKING CAPITAL INVESTMENT DECISIONSAnswers to Concepts Review and Critical Thinking Questions1.In this context, an opportunity cost refers to the value of an asset or other input that will be used in aproject. The relevant cost is what the asset or input is actually worth today, not, for example, what it cost to acquire.2. a.Yes, the reduction in the sales of the company’s other products, referred to as erosion, andshould be treated as an incremental cash flow. These lost sales are included because they are a cost (a revenue reduction) that the firm must bear if it chooses to produce the new product.b. Yes, expenditures on plant and equipment should be treated as incremental cash flows. Theseare costs of the new product line. However, if these expenditures have already occurred, they are sunk costs and are not included as incremental cash flows.c. No, the research and development costs should not be treated as incremental cash flows. Thecosts of research and development undertaken on the product during the past 3 years are sunk costs and should not be included in the evaluation of the project. Decisions made and costs incurred in the past cannot be changed. They should not affect the decision to accept or reject the project.d. Yes, the annual depreciation expense should be treated as an incremental cash flow.Depreciation expense must be taken into account when calculating the cash flows related to a given project. While depreciation is not a cash expense that directly affects cash flow, it decreases a firm’s net income and hence, lowers its tax bill for the year. Because of this depreciation tax shield, the firm has more cash on hand at the end of the year than it would have had without expensing depreciation.e.No, dividend payments should not be treated as incremental cash flows. A firm’s decision topay or not pay dividends is independent of the decision to accept or reject any given investment project. For this reason, it is not an incremental cash flow to a given project. Dividend policy is discussed in more detail in later chapters.f.Yes, the resale value of plant and equipment at the end of a project’s life should be treated as anincremental cash flow. The price at which the firm sells the equipment is a cash inflow, and any difference between the book value of the equipment and its sale price will create gains or lossesthat result in either a tax credit or liability.g.Yes, salary and medical costs for production employees hired for a project should be treated asincremental cash flows. The salaries of all personnel connected to the project must be included as costs of that project.3.Item I is a relevant cost because the opportunity to sell the land is lost if the new golf club is produced. Item II is also relevant because the firm must take into account the erosion of sales of existing products when a new product is introduced. If the firm produces the new club, the earnings from the existing clubs will decrease, effectively creating a cost that must be included in the decision.Item III is not relevant because the costs of Research and Development are sunk costs. Decisions made in the past cannot be changed. They are not relevant to the production of the new clubs.4.For tax purposes, a firm would choose MACRS because it provides for larger depreciationdeductions earlier. These larger deductions reduce taxes, but have no other cash consequences.Notice that the choice between MACRS and straight-line is purely a time value issue; the total depreciation is the same; only the timing differs.5.It’s probably only a mild over-simplification. Current liabilities will all be paid, presumably. Thecash portion of current assets will be retrieved. Some receivables won’t be collected, and some inventory will not be sold, of course. Counterbalancing these losses is the fact that inventory sold above cost (and not replaced at the end of the project’s life) acts to increase working capital. These effects tend to offset one another.6.Management’s discretion to set the firm’s capital structure is applicable at the firm level. Since anyone particular project could be financed entirely with equity, another project could be financed with debt, and the firm’s overall capital structure remains unchanged, financing cost s are not relevant in the analysis of a project’s incremental cash flows according to the stand-alone principle.7.The EAC approach is appropriate when comparing mutually exclusive projects with different livesthat will be replaced when they wear out. This type of analysis is necessary so that the projects havea common life span over which they can be compared; in effect, each project is assumed to existover an infinite horizon of N-year repeating projects. Assuming that this type of analysis is valid implies that the project cash flows remain the same forever, thus ignoring the possible effects of, among other things: (1) inflation, (2) changing economic conditions, (3) the increasing unreliability of cash flow estimates that occur far into the future, and (4) the possible effects of future technology improvement that could alter the project cash flows.8.Depreciation is a non-cash expense, but it is tax-deductible on the income statement. Thusdepreciation causes taxes paid, an actual cash outflow, to be reduced by an amount equal to the depreciation tax shield, t c D. A reduction in taxes that would otherwise be paid is the same thing as a cash inflow, so the effects of the depreciation tax shield must be added in to get the total incremental aftertax cash flows.9.There are two particularly important considerations. The first is erosion. Will the “essentialized”book simply displace copies of the existing book that would have otherwise been sold? This is of special concern given the lower price. The second consideration is competition. Will other publishers step in and produce such a product? If so, then any erosion is much less relevant. A particular concern to book publishers (and producers of a variety of other product types) is that the publisher only makes money from the sale of new books. Thus, it is important to examine whether the new book would displace sales of used books (good from the publisher’s perspective) or new books (not good). The concern arises any time there is an active market for used product.10.Definitely. The damage to Porsche’s reputation is definitely a factor the company needed to consider.If the reputation was damaged, the company would have lost sales of its existing car lines.11.One company may be able to produce at lower incremental cost or market better. Also, of course,one of the two may have made a mistake!12.Porsche would recognize that the outsized profits would dwindle as more products come to marketand competition becomes more intense.Solutions to Questions and ProblemsNOTE: All end-of-chapter problems were solved using a spreadsheet. Many problems require multiple steps. Due to space and readability constraints, when these intermediate steps are included in this solutions manual, rounding may appear to have occurred. However, the final answer for each problem is found without rounding during any step in the problem.Basicing the tax shield approach to calculating OCF, we get:OCF = (Sales – Costs)(1 – t C) + t C DepreciationOCF = [($5 × 2,000 – ($2 × 2,000)](1 – 0.35) + 0.35($10,000/5)OCF = $4,600So, the NPV of the project is:NPV = –$10,000 + $4,600(PVIFA17%,5)NPV = $4,7172.We will use the bottom-up approach to calculate the operating cash flow for each year. We also mustbe sure to include the net working capital cash flows each year. So, the total cash flow each year will be:Year 1 Year 2 Year 3 Year 4 Sales Rs.7,000 Rs.7,000 Rs.7,000 Rs.7,000Costs 2,000 2,000 2,000 2,000Depreciation 2,500 2,500 2,500 2,500EBT Rs.2,500 Rs.2,500 Rs.2,500 Rs.2,500Tax 850 850 850 850Net income Rs.1,650 Rs.1,650 Rs.1,650 Rs.1,650OCF 0 Rs.4,150 Rs.4,150 Rs.4,150 Rs.4,150Capital spending –Rs.10,000 0 0 0 0NWC –200 –250 –300 –200 950Incremental cashflow –Rs.10,200 Rs.3,900 Rs.3,850 Rs.3,950 Rs.5,100The NPV for the project is:NPV = –Rs.10,200 + Rs.3,900 / 1.10 + Rs.3,850 / 1.102 + Rs.3,950 / 1.103 + Rs.5,100 / 1.104NPV = Rs.2,978.333. Using the tax shield approach to calculating OCF, we get:OCF = (Sales – Costs)(1 – t C) + t C DepreciationOCF = (R2,400,000 – 960,000)(1 – 0.30) + 0.30(R2,700,000/3)OCF = R1,278,000So, the NPV of the project is:NPV = –R2,700,000 + R1,278,000(PVIFA15%,3)NPV = R217,961.704.The cash outflow at the beginning of the project will increase because of the spending on NWC. Atthe end of the project, the company will recover the NWC, so it will be a cash inflow. The sale of the equipment will result in a cash inflow, but we also must account for the taxes which will be paid on this sale. So, the cash flows for each year of the project will be:Year Cash Flow0 – R3,000,000 = –R2.7M – 300K1 1,278,0002 1,278,0003 1,725,000 = R1,278,000 + 300,000 + 210,000 + (0 – 210,000)(.30)And the NPV of the project is:NPV = –R3,000,000 + R1,278,000(PVIFA15%,2) + (R1,725,000 / 1.153)NPV = R211,871.465. First we will calculate the annual depreciation for the equipment necessary for the project. Thedepreciation amount each year will be:Year 1 depreciation = R2.7M(0.3330) = R899,100Year 2 depreciation = R2.7M(0.4440) = R1,198,800Year 3 depreciation = R2.7M(0.1480) = R399,600So, the book value of the equipment at the end of three years, which will be the initial investment minus the accumulated depreciation, is:Book value in 3 years = R2.7M – (R899,100 + 1,198,800 + 399,600)Book value in 3 years = R202,500The asset is sold at a gain to book value, so this gain is taxable.Aftertax salvage value = R202,500 + (R202,500 – 210,000)(0.30)Aftertax salvage value = R207,750To calculate the OCF, we will use the tax shield approach, so the cash flow each year is:OCF = (Sales – Costs)(1 – t C) + t C DepreciationYear Cash Flow0 – R3,000,000 = –R2.7M – 300K1 1,277,730.00 = (R1,440,000)(.70) + 0.30(R899,100)2 1,367,640.00 = (R1,440,000)(.70) + 0.30(R1,198,800)3 1,635,630.00 = (R1,440,000)(.70) + 0.30(R399,600) + R207,750 + 300,000Remember to include the NWC cost in Year 0, and the recovery of the NWC at the end of the project.The NPV of the project with these assumptions is:NPV = – R3.0M + (R1,277,730/1.15) + (R1,367,640/1.152) + (R1,635,630/1.153)NPV = R220,655.206. First, we will calculate the annual depreciation of the new equipment. It will be:Annual depreciation charge = €925,000/5Annual depreciation charge = €185,000The aftertax salvage value of the equipment is:Aftertax salvage value = €90,000(1 – 0.35)Aftertax salvage value = €58,500Using the tax shield approach, the OCF is:OCF = €360,000(1 – 0.35) + 0.35(€185,000)OCF = €298,750Now we can find the project IRR. There is an unusual feature that is a part of this project. Accepting this project means that we will reduce NWC. This reduction in NWC is a cash inflow at Year 0. This reduction in NWC implies that when the project ends, we will have to increase NWC. So, at the end of the project, we will have a cash outflow to restore the NWC to its level before the project. We also must include the aftertax salvage value at the end of the project. The IRR of the project is:NPV = 0 = –€925,000 + 125,000 + €298,750(PVIFA IRR%,5) + [(€58,500 – 125,000) / (1+IRR)5]IRR = 23.85%7.First, we will calculate the annual depreciation of the new equipment. It will be:Annual depreciation = £390,000/5Annual depreciation = £78,000Now, we calculate the aftertax salvage value. The aftertax salvage value is the market price minus (or plus) the taxes on the sale of the equipment, so:Aftertax salvage value = MV + (BV – MV)t cVery often, the book value of the equipment is zero as it is in this case. If the book value is zero, the equation for the aftertax salvage value becomes:Aftertax salvage value = MV + (0 – MV)t cAftertax salvage value = MV(1 – t c)We will use this equation to find the aftertax salvage value since we know the book value is zero. So, the aftertax salvage value is:Aftertax salvage value = £60,000(1 – 0.34)Aftertax salvage value = £39,600Using the tax shield approach, we find the OCF for the project is:OCF = £120,000(1 – 0.34) + 0.34(£78,000)OCF = £105,720Now we can find the project NPV. Notice that we include the NWC in the initial cash outlay. The recovery of the NWC occurs in Year 5, along with the aftertax salvage value.NPV = –£390,000 – 28,000 + £105,720(PVIFA10%,5) + [(£39,600 + 28,000) / 1.15]NPV = £24,736.268.To find the BV at the end of four years, we need to find the accumulated depreciation for the firstfour years. We could calculate a table with the depreciation each year, but an easier way is to add the MACRS depreciation amounts for each of the first four years and multiply this percentage times the cost of the asset. We can then subtract this from the asset cost. Doing so, we get:BV4 = $9,300,000 – 9,300,000(0.2000 + 0.3200 + 0.1920 + 0.1150)BV4 = $1,608,900The asset is sold at a gain to book value, so this gain is taxable.Aftertax salvage value = $2,100,000 + ($1,608,900 – 2,100,000)(.40)Aftertax salvage value = $1,903,5609. We will begin by calculating the initial cash outlay, that is, the cash flow at Time 0. To undertake theproject, we will have to purchase the equipment and increase net working capital. So, the cash outlay today for the project will be:Equipment –€2,000,000NWC –100,000Total –€2,100,000Using the bottom-up approach to calculating the operating cash flow, we find the operating cash flow each year will be:Sales €1,200,000Costs 300,000Depreciation 500,000EBT €400,000Tax 140,000Net income €260,000The operating cash flow is:OCF = Net income + DepreciationOCF = €260,000 + 500,000OCF = €760,000To find the NPV of the project, we add the present value of the project cash flows. We must be sure to add back the net working capital at the end of the project life, since we are assuming the net working capital will be recovered. So, the project NPV is:NPV = –€2,100,000 + €760,000(PVIFA14%,4) + €100,000 / 1.144NPV = €173,629.3810.We will need the aftertax salvage value of the equipment to compute the EAC. Even though theequipment for each product has a different initial cost, both have the same salvage value. The aftertax salvage value for both is:Both cases: aftertax salvage value = $20,000(1 – 0.35) = $13,000To calculate the EAC, we first need the OCF and NPV of each option. The OCF and NPV for Techron I is:OCF = – $34,000(1 – 0.35) + 0.35($210,000/3) = $2,400NPV = –$210,000 + $2,400(PVIFA14%,3) + ($13,000/1.143) = –$195,653.45EAC = –$195,653.45 / (PVIFA14%,3) = –$84,274.10And the OCF and NPV for Techron II is:OCF = – $23,000(1 – 0.35) + 0.35($320,000/5) = $7,450NPV = –$320,000 + $7,450(PVIFA14%,5) + ($13,000/1.145) = –$287,671.75EAC = –$287,671.75 / (PVIFA14%,5) = –$83,794.05The two milling machines have unequal lives, so they can only be compared by expressing both on an equivalent annual basis, which is what the EAC method does. Thus, you prefer the Techron II because it has the lower (less negative) annual cost.。
(公司理财)英文版罗斯公司理财习题答案C
CHAPTER 20INTERNATIONAL CORPORATE FINANCEAnswers to Concepts Review and Critical Thinking Questions1. a.The dollar is selling at a premium because it is more expensive in the forward market than inthe spot market (SFr 1.53 versus SFr 1.50).b.The franc is expected to depreciate relative to the dollar because it will take more francs to buyone dollar in the future than it does today.c.Inflation in Switzerland is higher than in the United States, as are nominal interest rates.2.The exchange rate will increase, as it will take progressively more pesos to purchase a dollar. This isthe relative PPP relationship.3. a.The Australian dollar is expected to weaken relative to the dollar, because it will take moreA$ in the future to buy one dollar than it does today.b.The inflation rate in Australia is higher.c.Nominal interest rates in Australia are higher; relative real rates in the two countries are thesame.4. A Yankee bond is most accurately described by d.5. No. For example, if a country’s currency strengthens, imports become cheaper (good), but its exportsbecome more expensive for others to buy (bad). The reverse is true for currency depreciation.6.Additional advantages include being closer to the final consumer and, thereby, saving ontransportation, significantly lower wages, and less exposure to exchange rate risk. Disadvantages include political risk and costs of supervising distant operations.7.One key thing to remember is that dividend payments are made in the home currency. Moregenerally, it may be that the owners of the multinational are primarily domestic and are ultimately concerned about their wealth denominated in their home currency because, unlike a multinational, they are not internationally diversified.8. a.False. If prices are rising faster in Great Britain, it will take more pounds to buy the sameamount of goods that one dollar can buy; the pound will depreciate relative to the dollar.b.False. The forward market would already reflect the projected deterioration of the euro relativeto the dollar. Only if you feel that there might be additional, unanticipated weakening of the euro that isn’t reflected in forward rates today, will the forward hedge protect you against additional declines.c.True. The market would only be correct on average, while you would be correct all the time.9. a.American exporters: their situation in general improves because a sale of the exported goods fora fixed number of euros will be worth more dollars.American importers: their situation in general worsens because the purchase of the imported goods for a fixed number of euros will cost more in dollars.b.American exporters: they would generally be better off if the British government’s intentionsresult in a strengthened pound.American importers: they would generally be worse off if the pound strengthens.c.American exporters: they would generally be much worse off, because an extreme case of fiscalexpansion like this one will make American goods prohibitively expensive to buy, or else Brazilian sales, if fixed in cruzeiros, would become worth an unacceptably low number of dollars.American importers: they would generally be much better off, because Brazilian goods will become much cheaper to purchase in dollars.10.IRP is the most likely to hold because it presents the easiest and least costly means to exploit anyarbitrage opportunities. Relative PPP is least likely to hold since it depends on the absence of market imperfections and frictions in order to hold strictly.11.It all depends on whether the forward market expects the same appreciation over the period andwhether the expectation is accurate. Assuming that the expectation is correct and that other traders do not have the same information, there will be value to hedging the currency exposure.12.One possible reason investment in the foreign subsidiary might be preferred is if this investmentprovides direct diversification that shareholders could not attain by investing on their own. Another reason could be if the political climate in the foreign country was more stable than in the home country. Increased political risk can also be a reason you might prefer the home subsidiary investment. Indonesia can serve as a great example of political risk. If it cannot be diversified away, investing in this type of foreign country will increase the systematic risk. As a result, it will raise the cost of the capital, and could actually decrease the NPV of the investment.13.Yes, the firm should undertake the foreign investment. If, after taking into consideration all risks, aproject in a foreign country has a positive NPV, the firm should undertake it. Note that in practice, the stated assumption (that the adjustment to the discount rate has taken into consideration all political and diversification issues) is a huge task. But once that has been addressed, the net present value principle holds for foreign operations, just as for domestic.14.If the foreign currency depreciates, the U.S. parent will experience an exchange rate loss when theforeign cash flow is remitted to the U.S. This problem could be overcome by selling forward contracts. Another way of overcoming this problem would be to borrow in the country where the project is located.15.False. If the financial markets are perfectly competitive, the difference between the Eurodollar rateand the U.S. rate will be due to differences in risk and government regulation. Therefore, speculating in those markets will not be beneficial.16.The difference between a Eurobond and a foreign bond is that the foreign bond is denominated in thecurrency of the country of origin of the issuing company. Eurobonds are more popular than foreign bonds because of registration differences. Eurobonds are unregistered securities.Solutions to Questions and ProblemsNOTE: All end-of-chapter problems were solved using a spreadsheet. Many problems require multiple steps. Due to space and readability constraints, when these intermediate steps are included in this solutions manual, rounding may appear to have occurred. However, the final answer for each problem is found without rounding during any step in the problem.Basicing the quotes from the table, we get:a.$50(€0.7870/$1) = €39.35b.$1.2706c.€5M($1.2706/€) = $6,353,240d.New Zealand dollare.Mexican pesof.(P11.0023/$1)($1.2186/€1) = P13.9801/€This is a cross rate.g.The most valuable is the Kuwait dinar. The least valuable is the Indonesian rupiah.2. a.You would prefer £100, since:(£100)($.5359/£1) = $53.59b.You would still prefer £100. Using the $/£ exchange rate and the SF/£ exchange rate to find theamount of Swiss francs £100 will buy, we get:(£100)($1.8660/£1)(SF .8233) = SF 226.6489ing the quotes in the book to find the SF/£ cross rate, we find:(SF 1.2146/$1)($0.5359/£1) = SF 2.2665/£1The £/SF exchange rate is the inverse of the SF/£ exchange rate, so:£1/SF .4412 = £0.4412/SF 13. a.F180= ¥104.93 (per $). The yen is selling at a premium because it is more expensive in theforward market than in the spot market ($0.0093659 versus $0.009530).b.F90 = $1.8587/£. The pound is selling at a discount because it is less expensive in the forwardmarket than in the spot market ($0.5380 versus $0.5359).c.The value of the dollar will fall relative to the yen, since it takes more dollars to buy one yen inthe future than it does today. The value of the dollar will rise relative to the pound, because it will take fewer dollars to buy one pound in the future than it does today.4. a.The U.S. dollar, since one Canadian dollar will buy:(Can$1)/(Can$1.26/$1) = $0.7937b.The cost in U.S. dollars is:(Can$2.19)/(Can$1.26/$1) = $1.74Among the reasons that absolute PPP doe sn’t hold are tariffs and other barriers to trade, transactions costs, taxes, and different tastes.c.The U.S. dollar is selling at a discount, because it is less expensive in the forward market thanin the spot market (Can$1.22 versus Can$1.26).d.The Canadian dollar is expected to appreciate in value relative to the dollar, because it takesfewer Canadian dollars to buy one U.S. dollar in the future than it does today.e.Interest rates in the United States are probably higher than they are in Canada.5. a.The cross rate in ¥/£ terms is:(¥115/$1)($1.70/£1) = ¥195.5/£1b.The yen is quoted too low relative to the pound. Take out a loan for $1 and buy ¥115. Use the¥115 to purchase pounds at the cross-rate, which will give you:¥115(£1/¥185) = £0.6216Use the pounds to buy back dollars and repay the loan. The cost to repay the loan will be:£0.6216($1.70/£1) = $1.0568You arbitrage profit is $0.0568 per dollar used.6.We can rearrange the interest rate parity condition to answer this question. The equation we will useis:R FC = (F T– S0)/S0 + R USUsing this relationship, we find:Great Britain: R FC = (£0.5394 – £0.5359)/£0.5359 + .038 = 4.45%Japan: R FC = (¥104.93 – ¥106.77)/¥106.77 + .038 = 2.08%Switzerland: R FC = (SFr 1.1980 – SFr 1.2146)/SFr 1.2146 + .038 = 2.43%7.If we invest in the U.S. for the next three months, we will have:$30M(1.0045)3 = $30,406,825.23If we invest in Great Britain, we must exchange the dollars today for pounds, and exchange the pounds for dollars in three months. After making these transactions, the dollar amount we would have in three months would be:($30M)(£0.56/$1)(1.0060)3/(£0.59/$1) = $28,990,200.05We should invest in U.S.ing the relative purchasing power parity equation:F t = S0 × [1 + (h FC– h US)]tWe find:Z3.92 = Z3.84[1 + (h FC– h US)]3h FC– h US = (Z3.92/Z3.84)1/3– 1h FC– h US = .0069Inflation in Poland is expected to exceed that in the U.S. by 0.69% over this period.9.The profit will be the quantity sold, times the sales price minus the cost of production. Theproduction cost is in Singapore dollars, so we must convert this to U.S. dollars. Doing so, we find that if the exchange rates stay the same, the profit will be:Profit = 30,000[$145 – {(S$168.50)/(S$1.6548/$1)}]Profit = $1,295,250.18If the exchange rate rises, we must adjust the cost by the increased exchange rate, so:Profit = 30,000[$145 – {(S$168.50)/1.1(S$1.6548/$1)}]Profit = $1,572,954.71If the exchange rate falls, we must adjust the cost by the decreased exchange rate, so:Profit = 30,000[$145 – {(S$168.50)/0.9(S$1.6548/$1)}]Profit = $955,833.53To calculate the breakeven change in the exchange rate, we need to find the exchange rate that make the cost in Singapore dollars equal to the selling price in U.S. dollars, so:$145 = S$168.50/S TS T = S$1.1621/$1S T = –.2978 or –29.78% decline10. a.If IRP holds, then:F180 = (Kr 6.43)[1 + (.08 – .05)]1/2F180 = Kr 6.5257Since given F180 is Kr6.56, an arbitrage opportunity exists; the forward premium is too high.Borrow Kr1 today at 8% interest. Agree to a 180-day forward contract at Kr 6.56. Convert the loan proceeds into dollars:Kr 1 ($1/Kr 6.43) = $0.15552Invest these dollars at 5%, ending up with $0.15931. Convert the dollars back into krone as$0.15931(Kr 6.56/$1) = Kr 1.04506Repay the Kr 1 loan, ending with a profit of:Kr1.04506 – Kr1.03868 = Kr 0.00638b.To find the forward rate that eliminates arbitrage, we use the interest rate parity condition, so:F180 = (Kr 6.43)[1 + (.08 – .05)]1/2F180 = Kr 6.525711.The international Fisher effect states that the real interest rate across countries is equal. We canrearrange the international Fisher effect as follows to answer this question:R US– h US = R FC– h FCh FC = R FC + h US– R USa.h AUS = .05 + .035 – .039h AUS = .046 or 4.6%b.h CAN = .07 + .035 – .039h CAN = .066 or 6.6%c.h TAI = .10 + .035 – .039h TAI = .096 or 9.6%12. a.The yen is expected to get stronger, since it will take fewer yen to buy one dollar in the futurethan it does today.b.h US– h JAP (¥129.76 – ¥131.30)/¥131.30h US– h JAP = – .0117 or –1.17%(1 – .0117)4– 1 = –.0461 or –4.61%The approximate inflation differential between the U.S. and Japan is – 4.61% annually.13. We need to find the change in the exchange rate over time, so we need to use the relative purchasingpower parity relationship:F t = S0 × [1 + (h FC– h US)]TUsing this relationship, we find the exchange rate in one year should be:F1 = 215[1 + (.086 – .035)]1F1 = HUF 225.97The exchange rate in two years should be:F2 = 215[1 + (.086 – .035)]2F2 = HUF 237.49And the exchange rate in five years should be:F5 = 215[1 + (.086 – .035)]5F5 = HUF 275.71ing the interest-rate parity theorem:(1 + R US) / (1 + R FC) = F(0,1) / S0We can find the forward rate as:F(0,1) = [(1 + R US) / (1 + R FC)] S0F(0,1) = (1.13 / 1.08)$1.50/£F(0,1) = $1.57/£Intermediate15.First, we need to forecast the future spot rate for each of the next three years. From interest rate andpurchasing power parity, the expected exchange rate is:E(S T) = [(1 + R US) / (1 + R FC)]T S0So:E(S1) = (1.0480 / 1.0410)1 $1.22/€ = $1.2282/€E(S2) = (1.0480 / 1.0410)2 $1.22/€ = $1.2365/€E(S3) = (1.0480 / 1.0410)3 $1.22/€ = $1.2448/€Now we can use these future spot rates to find the dollar cash flows. The dollar cash flow each year will be:Year 0 cash flow = –€$12,000,000($1.22/€) = –$14,640,000.00Year 1 cash flow = €$2,700,000($1.2282/€) = $3,316,149.86Year 2 cash flow = €$3,500,000($1.2365/€) = $4,327,618.63Year 3 cash flow = (€3,300,000 + 7,400,000)($1.2448/€) = $13,319,111.90And the NPV of the project will be:NPV = –$14,640,000 + $3,316,149.86/1.13 + $4,4327,618.63/1.132 + $13,319,111.90/1.133NPV = $914,618.7316. a.Implicitly, it is assumed that interest rates won’t change over the life of the project, but theexchange rate is projected to decline because the Euroswiss rate is lower than the Eurodollar rate.b.We can use relative purchasing power parity to calculate the dollar cash flows at each time. Theequation is:E[S T] = (SFr 1.72)[1 + (.07 – .08)]TE[S T] = 1.72(.99)TSo, the cash flows each year in U.S. dollar terms will be:t SFr E[S T] US$0 –27.0M –$15,697,674.421 +7.5M 1.7028 $4,404,510.222 +7.5M 1.6858 $4,449,000.223 +7.5M 1.6689 $4,493,939.624 +7.5M 1.6522 $4,539,332.955 +7.5M 1.6357 $4,585,184.79And the NPV is:NPV = –$15,697,674.42 + $4,404,510.22/1.13 + $4,449,000.22/1.132 + $4,493,939.62/1.133 + $4,539,332.95/1.134 + $4,585,184.79/1.135NPV = $71,580.10c.Rearranging the relative purchasing power parity equation to find the required return in Swissfrancs, we get:R SFr = 1.13[1 + (.07 – .08)] – 1R SFr = 11.87%So, the NPV in Swiss francs is:NPV = –SFr 27.0M + SFr 7.5M(PVIFA11.87%,5)NPV = SFr 123,117.76Converting the NPV to dollars at the spot rate, we get the NPV in U.S. dollars as:NPV = (SFr 123,117.76)($1/SFr 1.72)NPV = $71,580.10Challenge17. a.The domestic Fisher effect is:1 + R US = (1 + r US)(1 + h US)1 + r US = (1 + R US)/(1 + h US)This relationship must hold for any country, that is:1 + r FC = (1 + R FC)/(1 + h FC)The international Fisher effect states that real rates are equal across countries, so:1 + r US = (1 + R US)/(1 + h US) = (1 + R FC)/(1 + h FC) = 1 + r FCb.The exact form of unbiased interest rate parity is:E[S t] = F t = S0 [(1 + R FC)/(1 + R US)]tc.The exact form for relative PPP is:E[S t] = S0 [(1 + h FC)/(1 + h US)]td.For the home currency approach, we calculate the expected currency spot rate at time t as:E[S t] = (€0.5)[1.07/1.05]t= (€0.5)(1.019)tWe then convert the euro cash flows using this equation at every time, and find the present value. Doing so, we find:NPV = –[€2M/(€0.5)] + {€0.9M/[1.019(€0.5)]}/1.1 + {€0.9M/[1.0192(€0.5)]}/1.12 + {€0.9M/[1.0193(€0.5/$1)]}/1.13NPV = $316,230.72For the foreign currency approach, we first find the return in the euros as:R FC = 1.10(1.07/1.05) – 1 = 0.121Next, we find the NPV in euros as:NPV = –€2M + (€0.9M)/1.121 + (€0.9M)/1.1212+ (€0.9M)/1.1213= €158,115.36And finally, we convert the euros to dollars at the current exchange rate, which is:NPV ($) = €158,115.36 /(€0.5/$1) = $316,230.72。
【实用资料】罗斯公司理财题库全集.doc
Chapter 13 Risk, Cost of Capital, and Capital Budgeting Answer KeyMultiple Choice Questions1. The weighted average of the firm's costs of equity, preferred stock, and after tax debt is the:A. reward to risk ratio for the firm.B. expected capital gains yield for the stock.C. expected capital gains yield for the firm.D. portfolio beta for the firm.E. weighted average cost of capital (WACC).Difficulty level: EasyTopic: WACCType: DEFINITIONS2. If the CAPM is used to estimate the cost of equity capital, the expected excess market return is equal to the:A. return on the stock minus the risk-free rate.B. difference between the return on the market and the risk-free rate.C. beta times the market risk premium.D. beta times the risk-free rate.E. market rate of return.Difficulty level: EasyTopic: CAPMType: DEFINITIONS3. The best fit line of a pairwise plot of the returns of the security against the market index returns is called the:A. Security Market Line.B. Capital Market Line.C. characteristic line.D. risk line.E. None of the above.Difficulty level: MediumTopic: CHARACTERISTIC LINEType: DEFINITIONS4. The use of debt is called:A. operating leverage.B. production leverage.C. financial leverage.D. total asset turnover risk.E. business risk.Difficulty level: MediumTopic: USE OF DEBTType: DEFINITIONS5. The weighted average cost of capital for a firm is the:A. discount rate which the firm should apply to all of the projects it undertakes.B. overall rate which the firm must earn on its existing assets to maintain the value of its stock.C. rate the firm should expect to pay on its next bond issue.D. maximum rate which the firm should require on any projects it undertakes.E. rate of return that the firm's preferred stockholders should expect to earn over the long term. Difficulty level: MediumTopic: WEIGHTED AVERAGE COST OF CAPITALType: DEFINITIONS6. The WACC is used to _______ the expected cash flows when the firm has ____________.A. discount; debt and equity in the capital structureB. discount; short term financing on the balance sheetC. increase; debt and equity in the capital structureD. decrease; short term financing on the balance sheetE. None of the above.Difficulty level: MediumTopic: WACCType: CONCEPTS7. Using the CAPM to calculate the cost of capital for a risky project assumes that:A. using the firm's beta is the same measure of risk as the project.B. the firm is all-equity financed.C. the financial risk is equal to business risk.D. Both A and B.E. Both A and C.Difficulty level: MediumTopic: CAPMType: CONCEPTS8. The use of WACC to select investments is acceptable when the:A. correlation of all new projects are equal.B. NPV is positive when discounted by the WACC.C. risk of the projects are equal to the risk of the firm.D. firm is well diversified and the unsystematic risk is negligible.E. None of the above.Difficulty level: EasyTopic: WACCType: CONCEPTS9. If the risk of an investment project is different than the firm's risk then:A. you must adjust the discount rate for the project based on the firm's risk.B. you must adjust the discount rate for the project based on the project risk.C. you must exercise risk aversion and use the market rate.D. an average rate across prior projects is acceptable because estimates contain errors.E. one must have the actual data to determine any differences in the calculations. Difficulty level: EasyTopic: DISCOUNT RATEType: CONCEPTS10. If the project beta and IRR coordinates plot above the SML the project should be:A. accepted.B. rejected.C. It is impossible to tell.D. It will depend on the NPV.E. None of the above.Difficulty level: MediumTopic: SECURITY MARKET LINEType: CONCEPTS11. The beta of a security provides an:A. estimate of the market risk premium.B. estimate of the slope of the Capital Market Line.C. estimate of the slope of the Security Market Line.D. estimate of the systematic risk of the security.E. None of the above.Difficulty level: EasyTopic: BETAType: CONCEPTS12. Regression analysis can be used to estimate:A. beta.B. the risk-free rate.C. standard deviation.D. variance.E. expected return.Difficulty level: EasyTopic: BETA ESTIMATIONType: CONCEPTS13. Beta measures depend highly on the:A. direction of the market variance.B. overall cycle of the market.C. variance of the market and asset, but not their co-movement.D. covariance of the security with the market and how they are correlated.E. All of the above.Difficulty level: MediumTopic: BETAType: CONCEPTS14. The formula for calculating beta is given by the dividing the ___________ of the stock with the market portfolio by the ___________ of the market portfolio.A. variance; covarianceB. covariance; varianceC. standard deviation; varianceD. expected return; varianceE. expected return; covarianceDifficulty level: MediumTopic: BETAType: CONCEPTS15. The slope of the characteristic line is the estimated:A. intercept.B. beta.C. unsystematic risk.D. market variance.E. market risk premium.Difficulty level: MediumTopic: BETA AND CHARACTERISTIC LINEType: CONCEPTS16. Companies that have highly cyclical sales will have a:A. low beta if sales are highly dependent on the market cycle.B. high beta if sales are highly dependent on the market cycle.C. high beta if sales are independent of the market cycle.D. All of the above.E. None of the above.Difficulty level: MediumTopic: CYCLICAL BUSINESS AND BETAType: CONCEPTS17. Betas may vary substantially across an industry. The decision to use the industry or firm beta to estimate the cost of capital depends on:A. how small the estimation errors are of all betas across industries.B. how similar the firm's operations are to the operations of all other firms in the industry.C. whether the company is a leader or follower.D. the size of the company's public float.E. None of the above.Difficulty level: MediumTopic: INDUSTRY OR FIRM BETAType: CONCEPTS18. Beta is useful in the calculation of the:A. company's variance.B. company's discount rate.C. company's standard deviation.D. unsystematic risk.E. company's market rate.Difficulty level: MediumTopic: BETAType: CONCEPTS19. For a multi-product firm, if a project's beta is different from that of the overall firm, then the:A. CAPM can no longer be used.B. project should be discounted using the overall firm's beta.C. project should be discounted at a rate commensurate with its own beta.D. project should be discounted at the market rate.E. project should be discounted at the T-bill rate.Difficulty level: MediumTopic: PROJECT AND FIRM BETAType: CONCEPTS20. The problem of using the overall firm's beta in discounting projects of different risk is the:A. firm would accept too many high-risk projects.B. firm would reject too many low risk projects.C. firm would reject too many high-risk projects.D. firm would accept too many low risk projects.E. Both A and B.Difficulty level: MediumTopic: FIRM'S BETAType: CONCEPTS21. The asset beta of a levered firm is generally:A. equal to the equity beta.B. different from the equity beta.C. different from the debt beta.D. the simple average of the equity beta and debt beta.E. Both B and C.Difficulty level: MediumTopic: ASSET BETAType: CONCEPTS22. Comparing two otherwise equal firms, the beta of the common stock of a levered firm is ____________ than the beta of the common stock of an unlevered firm.A. equal toB. significantly lessC. slightly lessD. greaterE. None of the above.Difficulty level: MediumTopic: LEVERED VS. UNLEVERED BETAType: CONCEPTS23. The beta of a firm is determined by which of the following firm characteristics?A. Cycles in revenuesB. Operating leverageC. Financial leverageD. All of the above.E. None of the above.Difficulty level: MediumTopic: DETERMINANTS OF BETAType: CONCEPTS24. The beta of a firm is more likely to be high under what two conditions?A. High cyclical business activity and low operating leverageB. High cyclical business activity and high operating leverageC. Low cyclical business activity and low financial leverageD. Low cyclical business activity and low operating leverageE. None of the above.Difficulty level: MediumTopic: FACTORS AFFECTING BETAType: CONCEPTS25. A firm with cyclical earnings is characterized by:A. revenue patterns that vary with the business cycle.B. high levels of debt in its capital structure.C. high fixed costs.D. high price per unit.E. low contribution margins.Difficulty level: MediumTopic: CYCLICAL EARNINGSType: CONCEPTS26. A firm with high operating leverage has:A. low fixed costs in its production process.B. high variable costs in its production process.C. high fixed costs in its production process.D. high price per unit.E. low price per unit.Difficulty level: MediumTopic: OPERATING LEVERAGEType: CONCEPTS27. If a firm has low fixed costs relative to all other firms in the same industry, a large change in sales volume (either up or down) would have:A. a smaller change in EBIT for the firm versus the other firms.B. no effect in any way on the firms as volume does not effect fixed costs.C. a decreasing effect on the cyclical nature of the business.D. a larger change in EBIT for the firm versus the other firms.E. None of the above.Difficulty level: MediumTopic: OPERATING LEVERAGEType: CONCEPTS28. A firm with high operating leverage is characterized by __________ while one with high financial leverage is characterized by __________.A. low fixed cost of production; low fixed financial costsB. high variable cost of production; high variable financial costsC. high fixed costs of production; high fixed financial costsD. low costs of production; high fixed financial costsE. high fixed costs of production; low variable financial costsDifficulty level: MediumTopic: OPERATING AND FINANCIAL LEVERAGEType: CONCEPTS29. Firms whose revenues are strongly cyclical and whose operating leverage is high are likely to have:A. low betas.B. high betas.C. zero betas.D. negative betas.E. None of the above.Difficulty level: MediumTopic: DETERMINANTS OF BETAType: CONCEPTS30. An industry is likely to have a low beta if the:A. stream of revenues is stable and less volatile than the market.B. economy is in a recession.C. market for its goods is unaffected by the market cycle.D. Both A and B.E. Both A and C.Difficulty level: MediumTopic: DETERMINANTS OF BETAType: CONCEPTS31. For the levered firm the equity beta is __________ the asset beta.A. greater thanB. less thanC. equal toD. sometimes greater than and sometimes less thanE. None of the above.Difficulty level: MediumTopic: ASSET AND EQUITY BETASType: CONCEPTS32. All else equal, a more liquid stock will have a lower ________.A. betaB. market premiumC. cost of capitalD. Both A and B.E. Both A and C.Difficulty level: ChallengeTopic: LIQUIDITYType: CONCEPTS33. Two stock market based costs of liquidity that affects the cost of capital are the:A. bid-ask spread and the specialist spread.B. market impact cost and the brokerage costs.C. investor opportunity cost and the brokerage costs.D. bid-ask spread and the market impact costs.E. None of the above.Difficulty level: MediumTopic: LIQUIDITYType: CONCEPTS34. When a specialist is caught in the middle of a trade between informed and uniformed traders, which effectively eliminates the spread or causes a loss, is subject to:A. market impact costs.B. adverse selection.C. broker's quotation bias.D. increasing the number of uninformed traders.E. None of the above.Difficulty level: ChallengeTopic: ADVERSE SELECTIONType: CONCEPTS35. All else equal, new shareholders will ____ the capital gains of existing shareholders.A. diluteB. hold constantC. increaseD. All of the aboveE. It is impossible to tell.Difficulty level: MediumTopic: CAPITAL GAINSType: CONCEPTS36. The following are methods to estimate the market risk premium:A. use historical data to estimate future risk premium.B. use the dividend discount model to estimate risk premium.C. use the bond valuation model to estimate growth in bond prices with different costs of capital.D. A and B.E. A and C.Difficulty level: MediumTopic: MARKET RISK PREMIUMType: CONCEPTS37. Beta is the slope of the:A. efficient frontier.B. market portfolio.C. security market line.D. characteristic line.E. None of the above.Difficulty level: MediumTopic: BETAType: CONCEPTS38. Two stocks that have the same beta ____ have the same correlation because _______:A. may; because correlation measures the sensitivity of the S&P to the market portfolio.B. will; because correlation measures the tightness of fit around the regression line.C. may not; because correlation measures the tightness of fit around the regression line.D. may not; because correlation measures the sensitivity to change.E. None of the above.Difficulty level: MediumTopic: BETA AND CORRELATIONType: CONCEPTS39. When using the cost of debt, the relevant number is the:A. pre-tax cost of debt since most corporations pay taxes at the same tax rate.B. pre-tax cost of debt since it is the actual rate the firm is paying bondholders.C. post-tax cost of debt since dividends are tax deductible.D. post-tax cost of debt since interest is tax deductible.E. None of the above.Difficulty level: MediumTopic: COST OF DEBTType: CONCEPTS40. Jack's Construction Co. has 80,000 bonds outstanding that are selling at par value. Bonds with similar characteristics are yielding 8.5%. The company also has 4 million shares of common stock outstanding. The stock has a beta of 1.1 and sells for $40 a share. The U.S. Treasury bill is yielding 4% and the market risk premium is 8%. Jack's tax rate is 35%. What is Jack's weighted average cost of capital?A. 7.10%B. 7.39%C. 10.38%D. 10.65%E. 11.37%R e = .04 + (1.1 ⨯ .08) = .128Debt: 80,000 ⨯ $1,000 = $80mCommon: 4m ⨯ $40 = $160mTotal = $80m + $160m = $240mDifficulty level: MediumTopic: WEIGHTED AVERAGE COST OF CAPITALType: PROBLEMS41. Peter's Audio Shop has a cost of debt of 7%, a cost of equity of 11%, and a cost of preferred stock of 8%. The firm has 104,000 shares of common stock outstanding at a market price of $20 a share. There are 40,000 shares of preferred stock outstanding at a market price of $34 a share. The bond issue has a total face value of $500,000 and sells at 102% of face value. The tax rate is 34%. What is the weighted average cost of capital for Peter's Audio Shop?A. 6.14%B. 6.54%C. 8.60%D. 9.14%E. 9.45%Debt: $500,000 ⨯ 1.02 = $.51mPreferred: 40,000 ⨯ $34 = $1.36mCommon: 104,000 ⨯ $20 = $2.08mTotal = $.51m + $1.36m + $2.08m = $3.95mDifficulty level: MediumTopic: WEIGHTED AVERAGE COST OF CAPITALType: PROBLEMS42. Phil's Carvings, Inc. wants to have a weighted average cost of capital of 9%. The firm has an after-tax cost of debt of 5% and a cost of equity of 11%. What debt-equity ratio is needed for the firm to achieve its targeted weighted average cost of capital?A. .33B. .40C. .50D. .60E. .67.09 = [W e⨯ .11] + [(1 - W e) ⨯ .05) = .11W e + .05 - .05W e; .04 = .06W e; W e = 66.67%; W d = 1 - W e = 100% - 66.67% = 33.33%; Debt - equity ratio = 33.33% ÷ 66.67% = .50Difficulty level: MediumTopic: WEIGHTED AVERAGE COST OF CAPITALType: PROBLEMS43. Jake's Sound Systems has 210,000 shares of common stock outstanding at a market price of $36 a share. Last month, Jake's paid an annual dividend in the amount of $1.593 per share. The dividend growth rate is 4%. Jake's also has 6,000 bonds outstanding with a face value of $1,000 per bond. The bonds carry a 7% coupon, pay interest annually, and mature in 4.89 years. The bonds are selling at 99% of face value. The company's tax rate is 34%. What is Jake's weighted average cost of capital?A. 5.3%B. 5.8%C. 6.3%D. 6.9%E. 7.2%Debt: 6,000 ⨯ $1,000 ⨯ .99 = $5.94mCommon: 210,000 ⨯ $36 = $7.56mTotal = $5.94m + $7.56m = $13.50mR e = [($1.593 ⨯ 1.04) ÷ $36] + .04 = .08602Difficulty level: MediumTopic: WEIGHTED AVERAGE COST OF CAPITALType: PROBLEMS44. The Consolidated Transfer Co. is an all-equity financed firm. The beta is .75, the market risk premium is 8% and the risk-free rate is 4%. What is the expected return of Consolidated?A. 7%B. 8%C. 9%D. 10%E. 13%.04 + 0.75(.08) = .10 = 10%Difficulty level: EasyTopic: CAPMType: PROBLEMS45. Assuming the CAPM or one-factor model holds, what is the cost of equity for a firm if the firm's equity has a beta of 1.2, the risk-free rate of return is 2%, the expected return on the market is 9%, and the return to the company's debt is 7%?A. 10.4%B. 10.8%C. 12.8%D. 14.4%E. None of the above.Rs = Rf + β(Rm - Rf) = .02 + 1.2(.09 - .02) = .104 = 10.4%Difficulty level: MediumTopic: CAPMType: PROBLEMS46. The cost of equity for Ryan Corporation is 8.4%. If the expected return on the market is 10% and the risk-free rate is 5%, then the equity beta is ___.A. 0.48B. 0.68C. 1.25D. 1.68E. Impossible to calculate with information given.Rs = Rf + β (Rm - Rf); .084 = .05 + β (.10 - .05); β = .68Difficulty level: MediumTopic: EQUITY BETAType: PROBLEMS47. Suppose that the Simmons Corporation's common stock has a beta of 1.6. If the risk-free rate is 5% and the market risk premium is 4%, the expected return on Simmons' common stock is:A. 4.0%.B. 5.0%.C. 5.6%.D. 10.6%.E. 11.4%.Rs = Rf + β(Rm - Rf) = .05 + 1.6(.04) = .114 = 11.4%Difficulty level: EasyTopic: CAPMType: PROBLEMS48. Suppose the Barges Corporation's common stock has an expected return of 12%. Assume that the risk-free rate is 5%, and the market risk premium is 6%. If no unsystematic influence affected Barges' return, the beta for Barges is ______.A. 1.00B. 1.17C. 1.20D. 2.50E. It is impossible to calculate with the information given.Rs = Rf + β(Rm - Rf); .12 = .05 + β(.06); β = .07/.06 = 1.17Difficulty level: MediumTopic: CALCULATING BETAType: PROBLEMS49. Slippery Slope Roof Contracting has an equity beta of 1.2, capital structure with 2/3 debt, and a zero tax rate. What is its asset beta?A. 0.40B. 0.72C. 1.20D. 1.80E. None of the aboveβA = (E/(D + E.) βE = (1/3)(1.2) = .40Difficulty level: MediumTopic: ASSET BETAType: PROBLEMS50. The Template Corporation has an equity beta of 1.2 and a debt beta of .8. The firm's market value debt to equity ratio is .6. Template has a zero tax rate. What is the asset beta?A. 0.70B. 0.72C. 0.96D. 1.04E. 1.05.8(.6/1.6) + 1.2(1/1.6) = 1.05Difficulty level: MediumTopic: ASSET BETAType: PROBLEMS51. The NuPress Valet Co. has an improved version of its hotel stand. The investment cost is expected to be $72 million and will return $13.5 million for 5 years in net cash flows. The ratio of debt to equity is 1 to 1. The cost of equity is 13%, the cost of debt is 9%, and the tax rate is 34%. The appropriate discount rate, assuming average risk, is:A. 8.65%B. 9%C. 9.47%D. 10.5%E. 13%WACC = .09(1 - .34)(.5) + .13(.5) = .0297 + .065 = .0947 = 9.47%Difficulty level: EasyTopic: WACCType: PROBLEMSEssay Questions。
罗斯-公司理财-英文练习题-附带答案-第九章
罗斯-公司理财-英文练习题-附带答案-第九章CHAPTER 9Risk Analysis, Real Options, and Capital Budgeting Multiple Choice Questions:I. DEFINITIONSSCENARIO ANALYSISb 1. An analysis of what happens to the estimate of the net present value when you examinea number of different likely situations is called _____ analysis.a. forecastingb. scenarioc. sensitivityd. simulatione. break-evenDifficulty level: EasySENSITIVITY ANALYSISc 2. An analysis of what happens to the estimate of net present value when only onevariable is changed is called _____ analysis.a. forecastingb. scenarioc. sensitivityd. simulatione. break-evenDifficulty level: EasySIMULATION ANALYSISd 3. An analysis which combines scenario analysis with sensitivity analysis is called _____analysis.a. forecastingb. scenarioc. sensitivityd. simulatione. break-evenDifficulty level: EasyBREAK-EVEN ANALYSISe 4. An analysis of the relationship between the sales volume and various measures ofprofitability is called _____ analysis.a. forecastingb. scenarioc. sensitivityd. simulatione. break-evenDifficulty level: EasyVARIABLE COSTSa 5. Variable costs:a. change in direct relationship to the quantity of output produced.b. are constant in the short-run regardless of the quantity of output produced.c. reflect the change in a variable when one more unit of output is produced.d. are subtracted from fixed costs to compute the contribution margin.e. form the basis that is used to determine the degree of operating leverage employed by afirm.Difficulty level: EasyFIXED COSTSb 6. Fixed costs:a. change as the quantity of output produced changes.b. are constant over the short-run regardless of the quantity of output produced.c. reflect the change in a variable when one more unit of output is produced.d. are subtracted from sales to compute the contribution margin.e. can be ignored in scenario analysis since they are constant over the life of a project.Difficulty level: EasyACCOUNTING BREAK-EVENc 7. The sales level that results in a project’s net income exactly equaling zero is called the_____ break-even.a. operationalb. leveragedc. accountingd. cashe. present valueDifficulty level: EasyPRESENT VALUE BREAK-EVENe 8. The sales level that results in a project’s net present value exactly equaling zero iscalled the _____ break-even.a. operationalb. leveragedc. accountingd. cashe. present valueDifficulty level: EasyII. CONCEPTSSCENARIO ANALYSISb 9. Conducting scenario analysis helps managers see the:a. impact of an individual variable on the outcome of a project.b. potential range of outcomes from a proposed project.c. changes in long-term debt over the course of a proposed project.d. possible range of market prices for their stock over the life of a project.e. allocation distribution of funds for capital projects under conditions of hard rationing.Difficulty level: EasySENSITIVITY ANALYSISb 10. Sensitivity analysis helps you determine the:a. range of possible outcomes given possible ranges for every variable.b. degree to which the net present value reacts to changes in a single variable.c. net present value given the best and the worst possible situations.d. degree to which a project is reliant upon the fixed costs.e. level of variable costs in relation to the fixed costs of a project.Difficulty level: EasySENSITIVITY ANALYSISc 11. As the degree of sensitivity of a project to a single variable rises, the:a. lower the forecasting risk of the project.b. smaller the range of possible outcomes given a pre-defined range of values for theinput.c. more attention management should place on accurately forecasting the future value ofthat variable.d. lower the maximum potential value of the project.e. lower the maximum potential loss of the project.Difficulty level: MediumSENSITIVITY ANALYSISc 12. Sensitivity analysis is conducted by:a. holding all variables at their base level and changing the required rate of returnassigned to a project.b. changing the value of two variables to determine their interdependency.c. changing the value of a single variable and computing the resulting change in thecurrent value of a project.d. assigning either the best or the worst possible value to each variable and comparing theresults to those achieved by the base case.e. managers after a project has been implemented to determine how each variable relatesto the level of output realized.Difficulty level: MediumSENSITIVITY ANALYSISd 13. To ascertain whether the accuracy of the variable cost estimate for a project will havemuch effect on the final outcome of the project, you should probably conduct _____analysis.a. leverageb. scenarioc. break-evend. sensitivitye. cash flowDifficulty level: EasySIMULATIONd 14. Simulation analysis is based on assigning a _____ and analyzing the results.a. narrow range of values to a single variableb. narrow range of values to multiple variables simultaneouslyc. wide range of values to a single variabled. wide range of values to multiple variables simultaneouslye. single value to each of the variablesDifficulty level: MediumSIMULATIONe 15. The type of analysis that is most dependent upon the use of a computer is _____analysis.a. scenariob. break-evenc. sensitivityd. degree of operating leveragee. simulationDifficulty level: EasyVARIABLE COSTSd 16. Which one of the following is most likely a variable cost?a. office rentb. property taxesc. property insuranced. direct labor costse. management salariesDifficulty level: EasyVARIABLE COSTSa 17. Which of the following statements concerning variable costs is (are) correct?I. Variable costs minus fixed costs equal marginal costs.II. Variable costs are equal to zero when production is equal to zero.III. An increase in variable costs increases the operating cash flow.a. II onlyb. III onlyc. I and III onlyd. II and III onlye. I and II onlyDifficulty level: MediumVARIABLE COSTSa 18. All else constant, as the variable cost per unit increases, the:a. contribution margin decreases.b. sensitivity to fixed costs decreases.c. degree of operating leverage decreases.d. operating cash flow increases.e. net profit increases.Difficulty level: MediumFIXED COSTSc 19. Fixed costs:I. are variable over long periods of time.II. must be paid even if production is halted.III. are generally affected by the amount of fixed assets owned by a firm.IV. per unit remain constant over a given range of production output.a. I and III onlyb. II and IV onlyc. I, II, and III onlyd. I, II, and IV onlye. I, II, III, and IVDifficulty level: MediumCONTRIBUTION MARGINc 20. The contribution margin must increase as:a. both the sales price and variable cost per unit increase.b. the fixed cost per unit declines.c. the gap between the sales price and the variable cost per unit widens.d. sales price per unit declines.e. the sales price minus the fixed cost per unit increases.Difficulty level: MediumACCOUNTING BREAK-EVENa 21. Which of the following statements are correct concerning the accounting break-evenpoint?I. The net income is equal to zero at the accounting break-even point.II. The net present value is equal to zero at the accounting break-even point.III. The quantity sold at the accounting break-even point is equal to the total fixed costs plus depreciation divided by the contribution margin.IV. The quantity sold at the accounting break-even point is equal to the total fixed costs divided by the contribution margin.a. I and III onlyb. I and IV onlyc. II and III onlyd. II and IV onlye. I, II, and IV onlyDifficulty level: MediumACCOUNTING BREAK-EVENb 22. All else constant, the accounting break-even level of sales will decrease when the:a. fixed costs increase.b. depreciation expense decreases.c. contribution margin decreases.d. variable costs per unit increase.e. selling price per unit decreases.Difficulty level: MediumPRESENT VALUE BREAK-EVENd 23. The point where a project produces a rate of return equal to the required return isknown as the:a. point of zero operating leverage.b. internal break-even point.c. accounting break-even point.d. present value break-even point.e. internal break-even point.Difficulty level: EasyPRESENT VALUE BREAK-EVENb 24. Which of the following statements are correct concerning the present value break-evenpoint of a project?I. The present value of the cash inflows equals the amount of the initial investment.II. The payback period of the project is equal to the life of the project.III. The operating cash flow is at a level that produces a net present value of zero.IV. The project never pays back on a discounted basis.a. I and II onlyb. I and III onlyc. II and IV onlyd. III and IV onlye. I, III, and IV onlyDifficulty level: MediumINVESTMENT TIMING DECISIONb 25. The investment timing decision relates to:a. how long the cash flows last once a project is implemented.b. the decision as to when a project should be started.c. how frequently the cash flows of a project occur.d. how frequently the interest on the debt incurred to finance a project is compounded.e. the decision to either finance a project over time or pay out the initial cost in cash.Difficulty level: MediumOPTION TO WAITe 26. The timing option that gives the option to wait:I. may be of minimal value if the project relates to a rapidly changing technology.II. is partially dependent upon the discount rate applied to the project being evaluated.III. is defined as the situation where operations are shut down for a period of time.IV. has a value equal to the net present value of the project if it is started today versus the net present value if it is started at some later date.a. I and III onlyb. II and IV onlyc. I and II onlyd. II, III, and IV onlye. I, II, and IV onlyDifficulty level: ChallengeOPTION TO EXPANDb 27. Last month you introduced a new product to the market. Consumer demand has beenoverwhelming and appears that strong demand will exist over the long-term. Given thissituation, management should consider the option to:a. suspend.b. expand.c. abandon.d. contract.e. withdraw.Difficulty level: EasyOPTION TO EXPANDc 28. Including the option to expand in your project analysis will tend to:a. extend the duration of a project but not affect the project’s net present value.b. incre ase the cash flows of a project but decrease the project’s net present value.c. increase the net present value of a project.d. decrease the net present value of a project.e. have no effect on either a project’s c ash flows or its net present value.Difficulty level: MediumSENSITIVITY AND SENARIO ANALYSISd 29. Theoretically, the NPV is the most appropriate method to determine the acceptabilityof a project. A false sense of security can be overwhelm the decision-maker when theprocedure is applied properly and the positive NPV resultsare accepted blindly.Sensitivity and scenario analysis aid in the process bya. changing the underlying assumptions on which the decision is based.b. highlights the areas where more and better data are needed.c. providing a picture of how an event can affect the calculations.d. All of the above.e. None of the above.Difficulty level: MediumDECSION TREEa 30. In order to make a decision with a decision treea. one starts farthest out in time to make the first decision.b. one must begin at time 0.c. any path can be taken to get to the end.d. any path can be taken to get back to the beginning.e. None of the above.Difficulty level: MediumDECISION TREEc 31. In a decision tree, the NPV to make the yes/no decision is dependent ona. only the cash flows from successful path.b. on the path where the probabilities add up to one.c. all cash flows and probabilities.d. only the cash flows and probabilities of the successful path.e. None of the above.Difficulty level: MediumDECISION TREEe 32. In a decision tree, caution should be used in analysis becausea. early stage decisions are probably riskier and should not likely use the same discountrate.b. if a negative NPV is actually occurring, management should opt out of the project andminimize their loss.c. decision trees are only used for planning, not actually daily management.d. Both A and C.e. Both A and B.Difficulty level: MediumSENSITIVITY ANALYSISd 33. Sensitivity analysis evaluates the NPV with respect toa. changes in the underlying assumptions.b. one variable changing while holding the others constant.c. different economic conditions.d. All of the above.e. None of the above.Difficulty level: MediumSENSITIVITY ANALYSISd 34. Sensitivity analysis provides information ona. whether the NPV should be trusted, it may provide a false sense of security if allNPVs are positive.b. the need for additional information as it tests each variablein isolation.c. the degree of difficulty in changing multiple variables together.d. Both A and B.e. Both A and C.Difficulty level: MediumFIXED COSTSb 35. Fixed production costs area. directly related to labor costs.b. measured as cost per unit of time.c. measured as cost per unit of output.d. dependent on the amount of goods or services produced.e. None of the above.Difficulty level: MediumVARIABLE COSTSd 36. Variable costsa. change as the quantity of output changes.b. are zero when production is zero.c. are exemplified by direct labor and raw materials.d. All of the above.e. None of the above.Difficulty level: EasySENSITIVITY ANALYSISb 37. An investigation of the degree to which NPV depends on assumptions made about anysingular critical variable is called a(n)a. operating analysis.b. sensitivity analysis.c. marginal benefit analysis.d. decision tree analysis.e. None of the above.Difficulty level: EasySENSITIVITY AND SCENARIOS ANALYSISb 38. Scenario analysis is different than sensitivity analysisa. as no economic forecasts are changed.b. as several variables are changed together.c. because scenario analysis deals with actual data versus sensitivity analysis which dealswith a forecast.d. because it is short and simple.e. because it is 'by the seat of the pants' technique.Difficulty level: MediumEQUIVALENT ANNUAL COSTc 39. In the present-value break-even the EAC is used toa. determine the opportunity cost of investment.b. allocate depreciation over the life of the project.c. allocate the initial investment at its opportunity cost over the life of the project.d. determine the contribution margin to fixed costs.e. None of the above.Difficulty level: MediumBREAK-EVENb 40. The present value break-even point is superior to the accounting break-even pointbecausea. present value break-even is more complicated to calculate.b. present value break-even covers the economic opportunity costs of the investment.c. present value break-even is the same as sensitivity analysis.d. present value break-even covers the fixed costs of production, which the accountingbreak-even does not.e. present value break-even covers the variable costs of production, which the accountingbreak-even does not.Difficulty level: EasyABANDONMENTd 41. The potential decision to abandon a project has option value becausea. abandonment can occur at any future point in time.b. a project may be worth more dead than alive.c. management is not locked into a negative outcome.d. All of the above.e. None of the above.Difficulty level: EasyTYPES OF BREAK-EVEN ANALYSISd 42. Which of the following are types of break-even analysis?a. present value break-evenb. accounting profit break-evenc. market value break-evend. Both A and B.e. Both A and C.Difficulty level: EasyMONTE CARLO SIMULATIONc 43. The approach that further attempts to model real word uncertainty by analyzingprojects the way one might analyze gambling strategies is calleda. gamblers approach.b. blackjack approach.c. Monte Carlo simulation.d. scenario analysis.e. sensitivity analysis.Difficulty level: MediumMONTE CARLO SIMULATIONc 44. Monte Carlo simulation isa. the most widely used by executives.b. a very simple formula.c. provides a more complete analysis that sensitivity or scenario.d. the oldest capital budgeting technique.e. None of the above.Difficulty level: EasyOPTIONS IN CAPITAL BUDGETINGd 45. Which of the following are hidden options in capital budgeting?a. option to expand.b. timing option.c. option to abandon.d. All of the above.e. None of the above.Difficulty level: EasyIII. PROBLEMSUse this information to answer questions 46 through 50.The Adept Co. is analyzing a proposed project. The company expects to sell 2,500units, give or take 10 percent. The expected variable cost per unit is $8 and the expected fixed costs are $12,500. Cost estimates are considered accurate within a plus or minus 5 percent range. The depreciation expense is $4,000. The sale price is estimated at $16 aunit, give or take 2 percent. The company bases their sensitivity analysis on the expected case scenario.SCENARIO ANALYSISd 46. What is the sales revenue under the optimistic case scenario?a. $40,000b. $43,120c. $44,000d. $44,880e. $48,400Difficulty level: MediumSCENARIO ANALYSISd 47. What is the contribution margin under the expected case scenario?a. $2.67b. $3.00c. $7.92d. $8.00e. $8.72Difficulty level: MediumSCENARIO ANALYSISc 48. What is the amount of the fixed cost per unit under the pessimistic case scenario?a. $4.55b. $5.00c. $5.83d. $6.02e. $6.55Difficulty level: MediumSENSITIVITY ANALYSISb 49. The company is conducting a sensitivity analysis on the sales price using a salesprice estimate of $17. Using this value, the earnings before interest and taxes will be:a. $4,000b. $6,000c. $8,500d. $10,000e. $18,500Difficulty level: MediumSENSITIVITY ANALYSISb 50. The company conducts a sensitivity analysis using a variable cost of $9. The totalvariable cost estimate will be:a. $21,375b. $22,500c. $23,625d. $24,125e. $24,750Difficulty level: MediumUse this information to answer questions 51 through 55.The Can-Do Co. is analyzing a proposed project. The company expects to sell 12,000units, give or take 4 percent. The expected variable cost per unit is $7 and the expectedfixed cost is $36,000. The fixed and variable cost estimates are considered accuratewithin a plus or minus 6 percent range. The depreciation expense is $30,000. The tax rate is 34 percent. The sale price is estimated at $14 a unit, give or take 5 percent. Thecompany bases their sensitivity analysis on the expected case scenario.SCENARIO ANALYSISa 51. What is the earnings before interest and taxes under the expected case scenario?a. $18,000b. $24,000c. $36,000d. $48,000e. $54,000Difficulty level: MediumSCENARIO ANALYSISc 52. What is the earnings before interest and taxes under anoptimistic case scenario?a. $22,694.40b. $24,854.40c. $37,497.60d. $52,694.40e. $67,947.60Difficulty level: ChallengeSCENARIO ANALYSISb 53. What is the earnings before interest and taxes under the pessimistic case scenario?b. -$422.40c. -$278.78d. $3,554.50e. $5,385.60Difficulty level: ChallengeSENSITIVITY ANALYSISd 54. What is the operating cash flow for a sensitivity analysis using total fixed costs of$32,000?a. $14,520b. $16,520c. $22,000d. $44,520e. $52,000Difficulty level: MediumSENSITIVITY ANALYSISd 55. What is the contribution margin for a sensitivity analysis using a variable cost per unitof $8?a. $3b. $4c. $5d. $6e. $7Difficulty level: MediumVARIABLE COSTc 56. A firm is reviewing a project with labor cost of $8.90 per unit, raw materials cost of$21.63 a unit, and fixed costs of $8,000 a month. Sales are projected at 10,000 unitsover the three-month life of the project. What are the total variable costs of the project?a. $216,300b. $297,300c. $305,300d. $313,300e. $329,300Difficulty level: MediumVARIABLE COSTd 57. A project has earnings before interest and taxes of $5,750, fixed costs of $50,000, aselling price of $13 a unit, and a sales quantity of 11,500 units. Depreciation is $7,500.What is the variable cost per unit?a. $6.75c. $7.25d. $7.50e. $7.75Difficulty level: MediumFIXED COSTb 58. At a production level of 5,600 units a project has total costs of $89,000. The variablecost per unit is $11.20. What is the amount of the total fixed costs?a. $24,126b. $26,280c. $27,090d. $27,820e. $28,626Difficulty level: MediumFIXED COSTe 59. At a production level of 6,000 units a project has total costs of $120,000. The variablecost per unit is $14.50. What is the amount of the total fixed costs?a. $25,165b. $28,200c. $30,570d. $32,000e. $33,000Difficulty level: MediumCONTRIBUTION MARGINc 60. Wilson’s Meats has computed their fixed costs to be $.60 for every pound of meatthey sell given an average daily sales level of 500 pounds. They charge $3.89 perpound of top-grade ground beef. The variable cost perpound is $2.99. What is thecontribution margin per pound of ground beef sold?a. $.30b. $.60c. $.90d. $2.99e. $3.89Difficulty level: MediumCONTRIBUTION MARGINe 61. Ralph and Emma’s is considering a project with total sales of $17,500, total variablecosts of $9,800, total fixed costs of $3,500, and estimated production of 400 units. Thedepreciation expense is $2,400 a year. What is the contribution margin per unit?a. $4.50b. $10.50d. $19.09e. $19.25Difficulty level: MediumACCOUNTING BREAK-EVENa 62. You are considering a new project. The project has projected depreciation of $720,fixed costs of $6,000, and total sales of $11,760. The variable cost per unit is$4.20. What is the accounting break-even level of production?a. 1,200 unitsb. 1,334 unitsc. 1,372 unitsd. 1,889 unitse. 1,910 unitsDifficulty level: MediumACCOUNTING BREAK-EVENb 63. The accounting break-even production quantity for a project is 5,425 units. The fixedcosts are $31,600 and the contribution margin is $6. What is the projecteddepreciation expense?a. $700b. $950c. $1,025d. $1,053e. $1,100Difficulty level: MediumACCOUNTING BREAK-EVENd 64. A project has an accounting break-even point of 2,000 units. The fixed costs are$4,200 and the depreciation expense is $400. The projected variable cost per unit is$23.10. What is the projected sales price?a. $20.80b. $21.00c. $21.20d. $25.40e. $25.60Difficulty level: MediumACCOUNTING BREAK-EVENa 65. A proposed project has fixed costs of $3,600,depreciation expense of $1,500, and asales quantity of 1,300 units. What is the contribution margin if the projected level ofsales is the accounting break-even point?a. $3.92c. $4.50d. $4.80e. $5.00Difficulty level: MediumPRESENT VALUE BREAK-EVENc 66. A project has a contribution margin of $5, projected fixed costs of $12,000, projectedvariable cost per unit of $12, and a projected present value break-even point of 5,000units. What is the operating cash flow at this level of output?a. $1,000b. $12,000c. $13,000d. $68,000e. $73,000Difficulty level: MediumPRESENT VALUE BREAK-EVENa 67. Thompson & Son have been busy analyzing a new product. They have determined thatan operating cash flow of $16,700 will result in a zero net present value, which is acompany requirement for project acceptance. The fixed costs are $12,378 and thecontribution margin is $6.20. The company feels that they can realistically capture10 percent of the 50,000 unit market for this product. Should the company develop thenew product? Why or why not?a. yes; because 5,000 units of sales exceeds the quantity required for a zero net presentvalueb. yes; because the internal break-even point is less than 5,000 unitsc. no; because the firm can not generate sufficient sales to obtain at least a zero netpresent valued. no; because the project has an expected internal rate of return of negative 100percente. no; because the project will not pay back on a discounted basisDifficulty level: ChallengePRESENT VALUE BREAK-EVENe 68. Kurt Neal and Son is considering a project with a discounted payback just equal to theproject’s life. The projections include a sales price of $11, variable cost per unit of$8.50, and fixed costs of $4,500. The operating cash flow is $6,200. What is the break-even quantity?a. 1,800 unitsb. 2,480 unitsc. 3,057 unitsd. 3,750 unitse. 4,280 unitsDECISION TREE NET PRESENT VALUEb 69. At stage 2 of the decision tree it shows that if a project is successful, the payoff will be$53,000 with a 2/3 chance of occurrence. There is also the 1/3 chance of a $-24,000payoff. The cost of getting to stage 2 (1 year out) is $44,000. The cost of capital is15%. What is the NPV of the project at stage 1?a. $-13,275b. $-20,232c. $ 2,087d. $ 7,536e. Can not be calculated without the exact timing of future cash flows.Difficulty level: MediumUse the following to answer questions 70-71:The Quick-Start Company has the following pattern of potential cash flows with their planned investment in a new cold weather starting system for fuel injected cars.DECISION TREEa 70. If the company has a discount rate of 17%, what is the value closest to time 1 netpresent value?a. $ 48.6 millionb. $ 80.9 millionc. $108.2 milliond. $181.4 millione. None of the above.DECISION TREEb 71. If the company has a discount rate of 17%, should they decide to invest?a. yes, NPV = $ 2.2 millionb. yes, NPV = $ 21.6 millionc. no, NPV = $-1.9 milliond. yes, NPV = $ 8.6 millione. No, since more than one branch is NPV = 0 or negative you must reject.Difficulty level: ChallengeACCOUNTING BREAK-EVENe 72. The Mini-Max Company has the following cost information on their new prospectiveproject. Calculate the accounting break-even point.Initial investment: $700。
罗斯《公司理财》第9版英文原书课后部分章节答案
罗斯《公司理财》第9版精要版英文原书课后部分章节答案详细»1 / 17 CH5 11,13,18,19,20 11. To find the PV of a lump sum, we use: PV = FV / (1 + r) t PV = $1,000,000 / (1.10) 80 = $488.19 13. To answer this question, we can use either the FV or the PV formula. Both will give the same answer since they are the inverse of each other. We will use the FV formula, that is: FV = PV(1 + r) t Solving for r, we get: r = (FV / PV) 1 / t –1 r = ($1,260,000 / $150) 1/112 – 1 = .0840 or 8.40% To find the FV of the first prize, we use: FV = PV(1 + r) t FV = $1,260,000(1.0840) 33 = $18,056,409.94 18. To find the FV of a lump sum, we use: FV = PV(1 + r) t FV = $4,000(1.11) 45 = $438,120.97 FV = $4,000(1.11) 35 = $154,299.40 Better start early! 19. We need to find the FV of a lump sum. However, the money will only be invested for six years, so the number of periods is six. FV = PV(1 + r) t FV = $20,000(1.084)6 = $32,449.33 20. To answer this question, we can use either the FV or the PV formula. Both will give the same answer since they are the inverse of each other. We will use the FV formula, that is: FV = PV(1 + r) t Solving for t, we get: t = ln(FV / PV) / ln(1 + r) t = ln($75,000 / $10,000) / ln(1.11) = 19.31 So, the money must be invested for 19.31 years. However, you will not receive the money for another two years. From now, you’ll wait: 2 years + 19.31 years = 21.31 years CH6 16,24,27,42,58 16. For this problem, we simply need to find the FV of a lump sum using the equation: FV = PV(1 + r) t 2 / 17 It is important to note that compounding occurs semiannually. To account for this, we will divide the interest rate by two (the number of compounding periods in a year), and multiply the number of periods by two. Doing so, we get: FV = $2,100[1 + (.084/2)] 34 = $8,505.93 24. This problem requires us to find the FV A. The equation to find the FV A is: FV A = C{[(1 + r) t – 1] / r} FV A = $300[{[1 + (.10/12) ] 360 – 1} / (.10/12)] = $678,146.38 27. The cash flows are annual and the compounding period is quarterly, so we need to calculate the EAR to make the interest rate comparable with the timing of the cash flows. Using the equation for the EAR, we get: EAR = [1 + (APR / m)] m – 1 EAR = [1 + (.11/4)] 4 – 1 = .1146 or 11.46% And now we use the EAR to find the PV of each cash flow as a lump sum and add them together: PV = $725 / 1.1146 + $980 / 1.1146 2 + $1,360 / 1.1146 4 = $2,320.36 42. The amount of principal paid on the loan is the PV of the monthly payments you make. So, the present value of the $1,150 monthly payments is: PV A = $1,150[(1 – {1 / [1 + (.0635/12)]} 360 ) / (.0635/12)] = $184,817.42 The monthly payments of $1,150 will amount to a principal payment of $184,817.42. The amount of principal you will still owe is: $240,000 – 184,817.42 = $55,182.58 This remaining principal amount will increase at the interest rate on the loan until the end of the loan period. So the balloon payment in 30 years, which is the FV of the remaining principal will be: Balloon payment = $55,182.58[1 + (.0635/12)] 360 = $368,936.54 58. To answer this question, we should find the PV of both options, and compare them. Since we are purchasing the car, the lowest PV is the best option. The PV of the leasing is simply the PV of the lease payments, plus the $99. The interest rate we would use for the leasing option is the same as the interest rate of the loan. The PV of leasing is: PV = $99 + $450{1 –[1 / (1 + .07/12) 12(3) ]} / (.07/12) = $14,672.91 The PV of purchasing the car is the current price of the car minus the PV of the resale price. The PV of the resale price is: PV = $23,000 / [1 + (.07/12)] 12(3) = $18,654.82 The PV of the decision to purchase is: $32,000 – 18,654.82 = $13,345.18 3 / 17 In this case, it is cheaper to buy the car than leasing it since the PV of the purchase cash flows is lower. To find the breakeven resale price, we need to find the resale price that makes the PV of the two options the same. In other words, the PV of the decision to buy should be: $32,000 – PV of resale price = $14,672.91 PV of resale price = $17,327.09 The resale price that would make the PV of the lease versus buy decision is the FV ofthis value, so: Breakeven resale price = $17,327.09[1 + (.07/12)] 12(3) = $21,363.01 CH7 3,18,21,22,31 3. The price of any bond is the PV of the interest payment, plus the PV of the par value. Notice this problem assumes an annual coupon. The price of the bond will be: P = $75({1 – [1/(1 + .0875)] 10 } / .0875) + $1,000[1 / (1 + .0875) 10 ] = $918.89 We would like to introduce shorthand notation here. Rather than write (or type, as the case may be) the entire equation for the PV of a lump sum, or the PV A equation, it is common to abbreviate the equations as: PVIF R,t = 1 / (1 + r) t which stands for Present V alue Interest Factor PVIFA R,t = ({1 – [1/(1 + r)] t } / r ) which stands for Present V alue Interest Factor of an Annuity These abbreviations are short hand notation for the equations in which the interest rate and the number of periods are substituted into the equation and solved. We will use this shorthand notation in remainder of the solutions key. 18. The bond price equation for this bond is: P 0 = $1,068 = $46(PVIFA R%,18 ) + $1,000(PVIF R%,18 ) Using a spreadsheet, financial calculator, or trial and error we find: R = 4.06% This is thesemiannual interest rate, so the YTM is: YTM = 2 4.06% = 8.12% The current yield is:Current yield = Annual coupon payment / Price = $92 / $1,068 = .0861 or 8.61% The effective annual yield is the same as the EAR, so using the EAR equation from the previous chapter: Effective annual yield = (1 + 0.0406) 2 – 1 = .0829 or 8.29% 20. Accrued interest is the coupon payment for the period times the fraction of the period that has passed since the last coupon payment. Since we have a semiannual coupon bond, the coupon payment per six months is one-half of the annual coupon payment. There are four months until the next coupon payment, so two months have passed since the last coupon payment. The accrued interest for the bond is: Accrued interest = $74/2 × 2/6 = $12.33 And we calculate the clean price as: 4 / 17 Clean price = Dirty price –Accrued interest = $968 –12.33 = $955.67 21. Accrued interest is the coupon payment for the period times the fraction of the period that has passed since the last coupon payment. Since we have a semiannual coupon bond, the coupon payment per six months is one-half of the annual coupon payment. There are two months until the next coupon payment, so four months have passed since the last coupon payment. The accrued interest for the bond is: Accrued interest = $68/2 × 4/6 = $22.67 And we calculate the dirty price as: Dirty price = Clean price + Accrued interest = $1,073 + 22.67 = $1,095.67 22. To find the number of years to maturity for the bond, we need to find the price of the bond. Since we already have the coupon rate, we can use the bond price equation, and solve for the number of years to maturity. We are given the current yield of the bond, so we can calculate the price as: Current yield = .0755 = $80/P 0 P 0 = $80/.0755 = $1,059.60 Now that we have the price of the bond, the bond price equation is: P = $1,059.60 = $80[(1 – (1/1.072) t ) / .072 ] + $1,000/1.072 t We can solve this equation for t as follows: $1,059.60(1.072) t = $1,111.11(1.072) t –1,111.11 + 1,000 111.11 = 51.51(1.072) t2.1570 = 1.072 t t = log 2.1570 / log 1.072 = 11.06 11 years The bond has 11 years to maturity.31. The price of any bond (or financial instrument) is the PV of the future cash flows. Even though Bond M makes different coupons payments, to find the price of the bond, we just find the PV of the cash flows. The PV of the cash flows for Bond M is: P M = $1,100(PVIFA 3.5%,16 )(PVIF 3.5%,12 ) + $1,400(PVIFA3.5%,12 )(PVIF 3.5%,28 ) + $20,000(PVIF 3.5%,40 ) P M = $19,018.78 Notice that for the coupon payments of $1,400, we found the PV A for the coupon payments, and then discounted the lump sum back to today. Bond N is a zero coupon bond with a $20,000 par value, therefore, the price of the bond is the PV of the par, or: P N = $20,000(PVIF3.5%,40 ) = $5,051.45 CH8 4,18,20,22,244. Using the constant growth model, we find the price of the stock today is: P 0 = D 1 / (R – g) = $3.04 / (.11 – .038) = $42.22 5 / 17 18. The price of a share of preferred stock is the dividend payment divided by the required return. We know the dividend payment in Year 20, so we can find the price of the stock in Y ear 19, one year before the first dividend payment. Doing so, we get: P 19 = $20.00 / .064 P 19 = $312.50 The price of the stock today is the PV of the stock price in the future, so the price today will be: P 0 = $312.50 / (1.064) 19 P 0 = $96.15 20. We can use the two-stage dividend growth model for this problem, which is: P 0 = [D 0 (1 + g 1 )/(R – g 1 )]{1 – [(1 + g 1 )/(1 + R)] T }+ [(1 + g 1 )/(1 + R)] T [D 0 (1 + g 2 )/(R –g 2 )] P0 = [$1.25(1.28)/(.13 –.28)][1 –(1.28/1.13) 8 ] + [(1.28)/(1.13)] 8 [$1.25(1.06)/(.13 – .06)] P 0 = $69.55 22. We are asked to find the dividend yield and capital gains yield for each of the stocks. All of the stocks have a 15 percent required return, which is the sum of the dividend yield and the capital gains yield. To find the components of the total return, we need to find the stock price for each stock. Using this stock price and the dividend, we can calculate the dividend yield. The capital gains yield for the stock will be the total return (required return) minus the dividend yield. W: P 0 = D 0 (1 + g) / (R – g) = $4.50(1.10)/(.19 – .10) = $55.00 Dividend yield = D 1 /P 0 = $4.50(1.10)/$55.00 = .09 or 9% Capital gains yield = .19 – .09 = .10 or 10% X: P 0 = D 0 (1 + g) / (R – g) = $4.50/(.19 – 0) = $23.68 Dividend yield = D 1 /P 0 = $4.50/$23.68 = .19 or 19% Capital gains yield = .19 – .19 = 0% Y: P 0 = D 0 (1 + g) / (R – g) = $4.50(1 – .05)/(.19 + .05) = $17.81 Dividend yield = D 1 /P 0 = $4.50(0.95)/$17.81 = .24 or 24% Capital gains yield = .19 – .24 = –.05 or –5% Z: P 2 = D 2 (1 + g) / (R – g) = D 0 (1 + g 1 ) 2 (1 +g 2 )/(R – g 2 ) = $4.50(1.20) 2 (1.12)/(.19 – .12) = $103.68 P 0 = $4.50 (1.20) / (1.19) + $4.50(1.20) 2 / (1.19) 2 + $103.68 / (1.19) 2 = $82.33 Dividend yield = D 1 /P 0 = $4.50(1.20)/$82.33 = .066 or 6.6% Capital gains yield = .19 – .066 = .124 or 12.4% In all cases, the required return is 19%, but the return is distributed differently between current income and capital gains. High growth stocks have an appreciable capital gains component but a relatively small current income yield; conversely, mature, negative-growth stocks provide a high current income but also price depreciation over time. 24. Here we have a stock with supernormal growth, but the dividend growth changes every year for the first four years. We can find the price of the stock in Y ear 3 since the dividend growth rate is constant after the third dividend. The price of the stock in Y ear 3 will be the dividend in Y ear 4, divided by the required return minus the constant dividend growth rate. So, the price in Y ear 3 will be: 6 / 17 P3 = $2.45(1.20)(1.15)(1.10)(1.05) / (.11 – .05) = $65.08 The price of the stock today will be the PV of the first three dividends, plus the PV of the stock price in Y ear 3, so: P 0 = $2.45(1.20)/(1.11) + $2.45(1.20)(1.15)/1.11 2 + $2.45(1.20)(1.15)(1.10)/1.11 3 + $65.08/1.11 3 P 0 = $55.70 CH9 3,4,6,9,15 3. Project A has cash flows of $19,000 in Y ear 1, so the cash flows are short by $21,000 of recapturing the initial investment, so the payback for Project A is: Payback = 1 + ($21,000 / $25,000) = 1.84 years Project B has cash flows of: Cash flows = $14,000 + 17,000 + 24,000 = $55,000 during this first three years. The cash flows are still short by $5,000 of recapturing the initial investment, so the payback for Project B is: B: Payback = 3 + ($5,000 / $270,000) = 3.019 years Using the payback criterion and a cutoff of 3 years, accept project A and reject project B. 4. When we use discounted payback, we need to find the value of all cash flows today. The value today of the project cash flows for the first four years is: V alue today of Y ear 1 cash flow = $4,200/1.14 = $3,684.21 V alue today of Y ear 2 cash flow = $5,300/1.14 2 = $4,078.18 V alue today of Y ear 3 cash flow = $6,100/1.14 3 = $4,117.33 V alue today of Y ear 4 cash flow = $7,400/1.14 4 = $4,381.39 To findthe discounted payback, we use these values to find the payback period. The discounted first year cash flow is $3,684.21, so the discounted payback for a $7,000 initial cost is: Discounted payback = 1 + ($7,000 – 3,684.21)/$4,078.18 = 1.81 years For an initial cost of $10,000, the discounted payback is: Discounted payback = 2 + ($10,000 –3,684.21 –4,078.18)/$4,117.33 = 2.54 years Notice the calculation of discounted payback. We know the payback period is between two and three years, so we subtract the discounted values of the Y ear 1 and Y ear 2 cash flows from the initial cost. This is the numerator, which is the discounted amount we still need to make to recover our initial investment. We divide this amount by the discounted amount we will earn in Y ear 3 to get the fractional portion of the discounted payback. If the initial cost is $13,000, the discounted payback is: Discounted payback = 3 + ($13,000 – 3,684.21 – 4,078.18 – 4,117.33) / $4,381.39 = 3.26 years 7 / 17 6. Our definition of AAR is the average net income divided by the average book value. The average net income for this project is: A verage net income = ($1,938,200 + 2,201,600 + 1,876,000 + 1,329,500) / 4 = $1,836,325 And the average book value is: A verage book value = ($15,000,000 + 0) / 2 = $7,500,000 So, the AAR for this project is: AAR = A verage net income / A verage book value = $1,836,325 / $7,500,000 = .2448 or 24.48% 9. The NPV of a project is the PV of the outflows minus the PV of the inflows. Since the cash inflows are an annuity, the equation for the NPV of this project at an 8 percent required return is: NPV = –$138,000 + $28,500(PVIFA 8%, 9 ) = $40,036.31 At an 8 percent required return, the NPV is positive, so we would accept the project. The equation for the NPV of the project at a 20 percent required return is: NPV = –$138,000 + $28,500(PVIFA 20%, 9 ) = –$23,117.45 At a 20 percent required return, the NPV is negative, so we would reject the project. We would be indifferent to the project if the required return was equal to the IRR of the project, since at that required return the NPV is zero. The IRR of the project is: 0 = –$138,000 + $28,500(PVIFA IRR, 9 ) IRR = 14.59% 15. The profitability index is defined as the PV of the cash inflows divided by the PV of the cash outflows. The equation for the profitability index at a required return of 10 percent is: PI = [$7,300/1.1 + $6,900/1.1 2 + $5,700/1.1 3 ] / $14,000 = 1.187 The equation for the profitability index at a required return of 15 percent is: PI = [$7,300/1.15 + $6,900/1.15 2 + $5,700/1.15 3 ] / $14,000 = 1.094 The equation for the profitability index at a required return of 22 percent is: PI = [$7,300/1.22 + $6,900/1.22 2 + $5,700/1.22 3 ] / $14,000 = 0.983 8 / 17 We would accept the project if the required return were 10 percent or 15 percent since the PI is greater than one. We would reject the project if the required return were 22 percent since the PI。
罗斯公司理财题库全集3
Chapter 01Introduction to Corporate Finance Multiple Choice Questions1. The person generally directly responsible for overseeing the tax management, cost accounting, financial accounting, and information system functions is the:A. treasurer.B. director.C. controller.D. chairman of the board.E. chief executive officer.2. The person generally directly responsible for overseeing the cash and credit functions, financial planning, and capital expenditures is the:A. treasurer.B. director.C. controller.D. chairman of the board.E. chief operations officer.3. The process of planning and managing a firm's long-term investments is called:A. working capital management.B. financial depreciation.C. agency cost analysis.D. capital budgeting.E. capital structure.4. The mixture of debt and equity used by a firm to finance its operations is called:A. working capital management.B. financial depreciation.C. cost analysis.D. capital budgeting.E. capital structure.5. The management of a firm's short-term assets and liabilities is called:A. working capital management.B. debt management.C. equity management.D. capital budgeting.E. capital structure.6. A business owned by a single individual is called a:A. corporation.B. sole proprietorship.C. general partnership.D. limited partnership.E. limited liability company.7. A business formed by two or more individuals who each have unlimited liability for business debts is called a:A. corporation.B. sole proprietorship.C. general partnership.D. limited partnership.E. limited liability company.8. The division of profits and losses among the members of a partnership is formalized in the:A. indemnity clause.B. indenture contract.C. statement of purpose.D. partnership agreement.E. group charter.9. A business created as a distinct legal entity composed of one or more individuals or entities is called a:A. corporation.B. sole proprietorship.C. general partnership.D. limited partnership.E. unlimited liability company.10. The corporate document that sets forth the business purpose of a firm is the:A. indenture contract.B. state tax agreement.C. corporate bylaws.D. debt charter.E. articles of incorporation.11. The rules by which corporations govern themselves are called:A. indenture provisions.B. indemnity provisions.C. charter agreements.D. bylaws.E. articles of incorporation.12. A business entity operated and taxed like a partnership, but with limited liability for the owners, is called a:A. limited liability company.B. general partnership.C. limited proprietorship.D. sole proprietorship.E. corporation.13. The primary goal of financial management is to:A. maximize current dividends per share of the existing stock.B. maximize the current value per share of the existing stock.C. avoid financial distress.D. minimize operational costs and maximize firm efficiency.E. maintain steady growth in both sales and net earnings.14. A conflict of interest between the stockholders and management of a firm is called:A. stockholders' liability.B. corporate breakdown.C. the agency problem.D. corporate activism.E. legal liability.15. Agency costs refer to:A. the total dividends paid to stockholders over the lifetime of a firm.B. the costs that result from default and bankruptcy of a firm.C. corporate income subject to double taxation.D. the costs of any conflicts of interest between stockholders and management.E. the total interest paid to creditors over the lifetime of the firm.16. A stakeholder is:A. any person or entity that owns shares of stock of a corporation.B. any person or entity that has voting rights based on stock ownership of a corporation.C. a person who initially started a firm and currently has management control over the cash flows of the firm due to his/her current ownership of company stock.D. a creditor to whom the firm currently owes money and who consequently has a claim on the cash flows of the firm.E. any person or entity other than a stockholder or creditor who potentially has a claim on the cash flows of the firm.17. The Sarbanes Oxley Act of 2002 is intended to:A. protect financial managers from investors.B. not have any effect on foreign companies.C. reduce corporate revenues.D. protect investors from corporate abuses.E. decrease audit costs for U.S. firms.18. The treasurer and the controller of a corporation generally report to the:A. board of directors.B. chairman of the board.C. chief executive officer.D. president.E. chief financial officer.19. Which one of the following statements is correct concerning the organizational structure of a corporation?A. The vice president of finance reports to the chairman of the board.B. The chief executive officer reports to the board of directors.C. The controller reports to the president.D. The treasurer reports to the chief executive officer.E. The chief operations officer reports to the vice president of production.20. Which one of the following is a capital budgeting decision?A. determining how much debt should be borrowed from a particular lenderB. deciding whether or not to open a new storeC. deciding when to repay a long-term debtD. determining how much inventory to keep on handE. determining how much money should be kept in the checking account21. The Sarbanes Oxley Act was enacted in:A. 1952.B. 1967.C. 1998.D. 2002.E. 2006.22. Since the implementation of Sarbanes-Oxley, the cost of going public in the United States has:A. increased.B. decreased.C. remained about the same.D. been erratic, but over time has decreased.E. It is impossible to tell since Sarbanes-Oxley compliance does not involve direct cost to the firm.23. Working capital management includes decisions concerning which of the following?I. accounts payableII. long-term debtIII. accounts receivableIV. inventoryA. I and II onlyB. I and III onlyC. II and IV onlyD. I, II, and III onlyE. I, III, and IV only24. Working capital management:A. ensures that sufficient equipment is available to produce the amount of product desired on a daily basis.B. ensures that long-term debt is acquired at the lowest possible cost.C. ensures that dividends are paid to all stockholders on an annual basis.D. balances the amount of company debt to the amount of available equity.E. is concerned with the upper portion of the balance sheet.25. Which one of the following statements concerning a sole proprietorship is correct?A. A sole proprietorship is the least common form of business ownership.B. The profits of a sole proprietorship are taxed twice.C. The owners of a sole proprietorship share profits as established by the partnership agreement.D. The owner of a sole proprietorship may be forced to sell his/her personal assets to pay company debts.E. A sole proprietorship is often structured as a limited liability company.26. Which one of the following statements concerning a sole proprietorship is correct?A. The life of the firm is limited to the life span of the owner.B. The owner can generally raise large sums of capital quite easily.C. The ownership of the firm is easy to transfer to another individual.D. The company must pay separate taxes from those paid by the owner.E. The legal costs to form a sole proprietorship are quite substantial.27. Which one of the following best describes the primary advantage of being a limited partner rather thana general partner?A. entitlement to a larger portion of the partnership's incomeB. ability to manage the day-to-day affairs of the businessC. no potential financial lossD. greater management responsibilityE. liability for firm debts limited to the capital invested28. A general partner:A. has less legal liability than a limited partner.B. has more management responsibility than a limited partner.C. faces double taxation whereas a limited partner does not.D. cannot lose more than the amount of his/her equity investment.E. is the term applied only to corporations which invest in partnerships.29. A partnership:A. is taxed the same as a corporation.B. agreement defines whether the business income will be taxed like a partnership or a corporation.C. terminates at the death of any general partner.D. has less of an ability to raise capital than a proprietorship.E. allows for easy transfer of interest from one general partner to another.30. Which of the following are disadvantages of a partnership?I. limited life of the firmII. personal liability for firm debtIII. greater ability to raise capital than a sole proprietorshipIV. lack of ability to transfer partnership interestA. I and II onlyB. III and IV onlyC. II and III onlyD. I, II, and IV onlyE. I, III, and IV only31. Which of the following are advantages of the corporate form of business ownership?I. limited liability for firm debtII. double taxationIII. ability to raise capitalIV. unlimited firm lifeA. I and II onlyB. III and IV onlyC. I, II, and III onlyD. II, III, and IV onlyE. I, III, and IV only32. Which one of the following statements is correct concerning corporations?A. The largest firms are usually corporations.B. The majority of firms are corporations.C. The stockholders are usually the managers of a corporation.D. The ability of a corporation to raise capital is quite limited.E. The income of a corporation is taxed as personal income of the stockholders.33. Which one of the following statements is correct?A. Both partnerships and corporations incur double taxation.B. Both sole proprietorships and partnerships are taxed in a similar fashion.C. Partnerships are the most complicated type of business to form.D. Both partnerships and corporations have limited liability for general partners and shareholders.E. All types of business formations have limited lives.34. The articles of incorporation:A. can be used to remove company management.B. are amended annually by the company stockholders.C. set forth the number of shares of stock that can be issued.D. set forth the rules by which the corporation regulates its existence.E. can set forth the conditions under which the firm can avoid double taxation.35. The bylaws:A. establish the name of the corporation.B. are rules which apply only to limited liability companies.C. set forth the purpose of the firm.D. mandate the procedure for electing corporate directors.E. set forth the procedure by which the stockholders elect the senior managers of the firm.36. The owners of a limited liability company prefer:A. being taxed like a corporation.B. having liability exposure similar to that of a sole proprietor.C. being taxed personally on all business income.D. having liability exposure similar to that of a general partner.E. being taxed like a corporation with liability like a partnership.37. Which one of the following business types is best suited to raising large amounts of capital?A. sole proprietorshipB. limited liability companyC. corporationD. general partnershipE. limited partnership38. Which type of business organization has all the respective rights and privileges of a legal person?A. sole proprietorshipB. general partnershipC. limited partnershipD. corporationE. limited liability company39. Financial managers should strive to maximize the current value per share of the existing stock because:A. doing so guarantees the company will grow in size at the maximum possible rate.B. doing so increases the salaries of all the employees.C. the current stockholders are the owners of the corporation.D. doing so means the firm is growing in size faster than its competitors.E. the managers often receive shares of stock as part of their compensation.40. The decisions made by financial managers should all be ones which increase the:A. size of the firm.B. growth rate of the firm.C. marketability of the managers.D. market value of the existing owners' equity.E. financial distress of the firm.41. Which one of the following actions by a financial manager creates an agency problem?A. refusing to borrow money when doing so will create losses for the firmB. refusing to lower selling prices if doing so will reduce the net profitsC. agreeing to expand the company at the expense of stockholders' valueD. agreeing to pay bonuses based on the book value of the company stockE. increasing current costs in order to increase the market value of the stockholders' equity42. Which of the following help convince managers to work in the best interest of the stockholders?I. compensation based on the value of the stockII. stock option plansIII. threat of a proxy fightIV. threat of conversion to a partnershipA. I and II onlyB. II and III onlyC. I, II and III onlyD. I and III onlyE. I, II, III, and IV43. Which form of business structure faces the greatest agency problems?A. sole proprietorshipB. general partnershipC. limited partnershipD. corporationE. limited liability company44. A proxy fight occurs when:A. the board solicits renewal of current members.B. a group solicits proxies to replace the board of directors.C. a competitor offers to sell their ownership in the firm.D. the firm files for bankruptcy.E. the firm is declared insolvent.45. Which one of the following parties is considered a stakeholder of a firm?A. employeeB. short-term creditorC. long-term creditorD. preferred stockholderE. common stockholder46. Which of the following are key requirements of the Sarbanes-Oxley Act?I. Officers of the corporation must review and sign annual reports.II. Officers of the corporation must now own more than 5% of the firm's stock. III. Annual reports must list deficiencies in internal controlsIV. Annual reports must be filed with the SEC within 30 days of year end.A. I onlyB. II onlyC. I and III onlyD. II and III onlyE. II and IV only47. Insider trading is:A. legal.B. illegal.C. impossible to have in our efficient market.D. discouraged, but legal.E. list only the securities of the largest firms.48. Sole proprietorships are predominantly started because:A. they are easily and cheaply setup.B. the proprietorship life is limited to the business owner's life.C. all business taxes are paid as individual tax.D. All of the above.E. None of the above.49. Managers are encouraged to act in shareholders' interests by:A. shareholder election of a board of directors who select management.B. the threat of a takeover by another firm.C. compensation contracts that tie compensation to corporate success.D. Both A and B.E. All of the above.50. The Securities Exchange Act of 1934 focuses on:A. all stock transactions.B. sales of existing securities.C. issuance of new securities.D. insider trading.E. Federal Deposit Insurance Corporation (FDIC) insurance.51. The basic regulatory framework in the United States was provided by:A. the Securities Act of 1933.B. the Securities Exchange Act of 1934.C. the monetary system.D. A and B.E. All of the above.52. The Securities Act of 1933 focuses on:A. all stock transactions.B. sales of existing securities.C. issuance of new securities.D. insider trading.E. Federal Deposit Insurance Corporation (FDIC) insurance.53. In a limited partnership:A. each limited partner's liability is limited to his net worth.B. each limited partner's liability is limited to the amount he put into the partnership.C. each limited partner's liability is limited to his annual salary.D. there is no limitation on liability; only a limitation on what the partner can earn.E. None of the above.54. Accounting profits and cash flows are:A. generally the same since they reflect current laws and accounting standards.B. generally the same since accounting profits reflect when the cash flows are received.C. generally not the same since GAAP allows for revenue recognition separate from the receipt of cash flows.D. generally not the same because cash inflows occur before revenue recognition.E. Both c and d.Essay Questions55. List and briefly describe the three basic questions addressed by a financial manager.56. What advantages does the corporate form of organization have over sole proprietorships or partnerships?57. If the corporate form of business organization has so many advantages over the sole proprietorship, why is it so common for small businesses to initially be formed as sole proprietorships?58. What should be the goal of the financial manager of a corporation? Why?59. Do you think agency problems arise in sole proprietorships and/or partnerships?60. Assume for a moment that the stockholders in a corporation have unlimited liability for corporate debts. If so, what impact would this have on the functioning of primary and secondary markets for common stock?61. Suppose you own 100 shares of IBM stock which you intend to sell today. Since you will sell it in the secondary market, IBM will receive no direct cash flows as a consequence of your sale. Why, then, should IBM's management care about the price you get for your shares?62. One thing lenders sometimes require when loaning money to a small corporation is an assignment of the common stock as collateral on the loan. Then, if the business fails to repay its loan, the ownership of the stock certificates can be transferred directly to the lender. Why might a lender want such an assignment? What advantage of the corporate form of organization comes into play here?63. Why might a corporation wish to list its shares on a national exchange such as the NYSE as opposed toa regional exchange or NASDAQ?Chapter 01 Introduction to Corporate Finance Answer KeyMultiple Choice Questions1. The person generally directly responsible for overseeing the tax management, cost accounting, financial accounting, and information system functions is the:A. treasurer.B. director.C. controller.D. chairman of the board.E. chief executive officer.Difficulty level: EasyTopic: CONTROLLERType: DEFINITIONS2. The person generally directly responsible for overseeing the cash and credit functions, financial planning, and capital expenditures is the:A. treasurer.B. director.C. controller.D. chairman of the board.E. chief operations officer.Difficulty level: EasyTopic: TREASURERType: DEFINITIONS3. The process of planning and managing a firm's long-term investments is called:A. working capital management.B. financial depreciation.C. agency cost analysis.D. capital budgeting.E. capital structure.Difficulty level: EasyTopic: CAPITAL BUDGETINGType: DEFINITIONS4. The mixture of debt and equity used by a firm to finance its operations is called:A. working capital management.B. financial depreciation.C. cost analysis.D. capital budgeting.E. capital structure.Difficulty level: EasyTopic: CAPITAL STRUCTUREType: DEFINITIONS5. The management of a firm's short-term assets and liabilities is called:A. working capital management.B. debt management.C. equity management.D. capital budgeting.E. capital structure.Difficulty level: EasyTopic: WORKING CAPITAL MANAGEMENTType: DEFINITIONS6. A business owned by a single individual is called a:A. corporation.B. sole proprietorship.C. general partnership.D. limited partnership.E. limited liability company.Difficulty level: EasyTopic: SOLE PROPRIETORSHIPType: DEFINITIONS7. A business formed by two or more individuals who each have unlimited liability for business debts is called a:A. corporation.B. sole proprietorship.C. general partnership.D. limited partnership.E. limited liability company.Difficulty level: EasyTopic: GENERAL P ARTNERSHIPType: DEFINITIONS8. The division of profits and losses among the members of a partnership is formalized in the:A. indemnity clause.B. indenture contract.C. statement of purpose.D. partnership agreement.E. group charter.Difficulty level: EasyTopic: P ARTNERSHIP AGREEMENTType: DEFINITIONS9. A business created as a distinct legal entity composed of one or more individuals or entities is called a:A. corporation.B. sole proprietorship.C. general partnership.D. limited partnership.E. unlimited liability company.Difficulty level: EasyTopic: CORPORATIONType: DEFINITIONS10. The corporate document that sets forth the business purpose of a firm is the:A. indenture contract.B. state tax agreement.C. corporate bylaws.D. debt charter.E. articles of incorporation.Difficulty level: EasyTopic: ARTICLES OF INCORPORATIONType: DEFINITIONS11. The rules by which corporations govern themselves are called:A. indenture provisions.B. indemnity provisions.C. charter agreements.D. bylaws.E. articles of incorporation.Difficulty level: EasyTopic: BYLAWSType: DEFINITIONS12. A business entity operated and taxed like a partnership, but with limited liability for the owners, is called a:A. limited liability company.B. general partnership.C. limited proprietorship.D. sole proprietorship.E. corporation.Difficulty level: EasyTopic: LIMITED LIABILITY COMP ANYType: DEFINITIONS13. The primary goal of financial management is to:A. maximize current dividends per share of the existing stock.B. maximize the current value per share of the existing stock.C. avoid financial distress.D. minimize operational costs and maximize firm efficiency.E. maintain steady growth in both sales and net earnings.Difficulty level: EasyTopic: FINANCIAL MANAGEMENT GOALType: DEFINITIONS14. A conflict of interest between the stockholders and management of a firm is called:A. stockholders' liability.B. corporate breakdown.C. the agency problem.D. corporate activism.E. legal liability.Difficulty level: EasyTopic: AGENCY PROBLEMType: DEFINITIONS15. Agency costs refer to:A. the total dividends paid to stockholders over the lifetime of a firm.B. the costs that result from default and bankruptcy of a firm.C. corporate income subject to double taxation.D. the costs of any conflicts of interest between stockholders and management.E. the total interest paid to creditors over the lifetime of the firm.Difficulty level: EasyTopic: AGENCY COSTSType: DEFINITIONS16. A stakeholder is:A. any person or entity that owns shares of stock of a corporation.B. any person or entity that has voting rights based on stock ownership of a corporation.C. a person who initially started a firm and currently has management control over the cash flows of the firm due to his/her current ownership of company stock.D. a creditor to whom the firm currently owes money and who consequently has a claim on the cash flows of the firm.E. any person or entity other than a stockholder or creditor who potentially has a claim on the cash flows of the firm.Difficulty level: EasyTopic: STAKEHOLDERSType: DEFINITIONS17. The Sarbanes Oxley Act of 2002 is intended to:A. protect financial managers from investors.B. not have any effect on foreign companies.C. reduce corporate revenues.D. protect investors from corporate abuses.E. decrease audit costs for U.S. firms.Difficulty level: EasyTopic: SARBANES OXLEYType: CONCEPTS18. The treasurer and the controller of a corporation generally report to the:A. board of directors.B. chairman of the board.C. chief executive officer.D. president.E. chief financial officer.Difficulty level: EasyTopic: ORGANIZATIONAL STRUCTUREType: CONCEPTS19. Which one of the following statements is correct concerning the organizational structure of a corporation?A. The vice president of finance reports to the chairman of the board.B. The chief executive officer reports to the board of directors.C. The controller reports to the president.D. The treasurer reports to the chief executive officer.E. The chief operations officer reports to the vice president of production.Difficulty level: MediumTopic: ORGANIZATIONAL STRUCTUREType: CONCEPTS20. Which one of the following is a capital budgeting decision?A. determining how much debt should be borrowed from a particular lenderB. deciding whether or not to open a new storeC. deciding when to repay a long-term debtD. determining how much inventory to keep on handE. determining how much money should be kept in the checking accountDifficulty level: MediumTopic: CAPITAL BUDGETINGType: CONCEPTS21. The Sarbanes Oxley Act was enacted in:A. 1952.B. 1967.C. 1998.D. 2002.E. 2006.Difficulty level: MediumTopic: SARBANES OXLEYType: CONCEPTS22. Since the implementation of Sarbanes-Oxley, the cost of going public in the United States has:A. increased.B. decreased.C. remained about the same.D. been erratic, but over time has decreased.E. It is impossible to tell since Sarbanes-Oxley compliance does not involve direct cost to the firm.Difficulty level: MediumTopic: SARBANES-OXLEYType: CONCEPTS23. Working capital management includes decisions concerning which of the following?I. accounts payableII. long-term debtIII. accounts receivableIV. inventoryA. I and II onlyB. I and III onlyC. II and IV onlyD. I, II, and III onlyE. I, III, and IV onlyDifficulty level: MediumTopic: WORKING CAPITAL MANAGEMENTType: CONCEPTS24. Working capital management:A. ensures that sufficient equipment is available to produce the amount of product desired on a daily basis.B. ensures that long-term debt is acquired at the lowest possible cost.C. ensures that dividends are paid to all stockholders on an annual basis.D. balances the amount of company debt to the amount of available equity.E. is concerned with the upper portion of the balance sheet.Difficulty level: EasyTopic: WORKING CAPITAL MANAGEMENTType: CONCEPTS25. Which one of the following statements concerning a sole proprietorship is correct?A. A sole proprietorship is the least common form of business ownership.B. The profits of a sole proprietorship are taxed twice.C. The owners of a sole proprietorship share profits as established by the partnership agreement.D. The owner of a sole proprietorship may be forced to sell his/her personal assets to pay company debts.E. A sole proprietorship is often structured as a limited liability company.Difficulty level: EasyTopic: SOLE PROPRIETORSHIPType: CONCEPTS26. Which one of the following statements concerning a sole proprietorship is correct?A. The life of the firm is limited to the life span of the owner.B. The owner can generally raise large sums of capital quite easily.C. The ownership of the firm is easy to transfer to another individual.D. The company must pay separate taxes from those paid by the owner.E. The legal costs to form a sole proprietorship are quite substantial.Difficulty level: EasyTopic: SOLE PROPRIETORSHIPType: CONCEPTS。
公司理财-罗斯课后习题答案
第一章1.在所有权形式的公司中,股东是公司的所有者。
股东选举公司的董事会,董事会任命该公司的管理层。
企业的所有权和控制权分离的组织形式是导致的代理关系存在的主要原因。
管理者可能追求自身或别人的利益最大化,而不是股东的利益最大化。
在这种环境下,他们可能因为目标不一致而存在代理问题。
2.非营利公司经常追求社会或政治任务等各种目标。
非营利公司财务管理的目标是获取并有效使用资金以最大限度地实现组织的社会使命。
3.这句话是不正确的。
管理者实施财务管理的目标就是最大化现有股票的每股价值,当前的股票价值反映了短期和长期的风险、时间以及未来现金流量。
4.有两种结论。
一种极端,在市场经济中所有的东西都被定价。
因此所有目标都有一个最优水平,包括避免不道德或非法的行为,股票价值最大化。
另一种极端,我们可以认为这是非经济现象,最好的处理方式是通过政治手段。
一个经典的思考问题给出了这种争论的答案:公司估计提高某种产品安全性的成本是30美元万。
然而,该公司认为提高产品的安全性只会节省20美元万。
请问公司应该怎么做呢?”5.财务管理的目标都是相同的,但实现目标的最好方式可能是不同的,因为不同的国家有不同的社会、政治环境和经济制度。
6.管理层的目标是最大化股东现有股票的每股价值。
如果管理层认为能提高公司利润,使股价超过35美元,那么他们应该展开对恶意收购的斗争。
如果管理层认为该投标人或其它未知的投标人将支付超过每股35美元的价格收购公司,那么他们也应该展开斗争。
然而,如果管理层不能增加企业的价值,并且没有其他更高的投标价格,那么管理层不是在为股东的最大化权益行事。
现在的管理层经常在公司面临这些恶意收购的情况时迷失自己的方向。
7.其他国家的代理问题并不严重,主要取决于其他国家的私人投资者占比重较小。
较少的私人投资者能减少不同的企业目标。
高比重的机构所有权导致高学历的股东和管理层讨论决策风险项目。
此外,机构投资者比私人投资者可以根据自己的资源和经验更好地对管理层实施有效的监督机制。
罗斯《公司理财》英文习题答案DOCchap
30.1 The new corporation issues $300,000 in new debt. The merger creates $100,000 ofgoodwill because the merger is a purchase.Balance SheetLager Brewing(in $ thousands)Current assets $480 Current liabilities $200Other assets 140 Long-term debt 400Net fixed assets 580 Equity 700Goodwill 100Total assets $1,300 Total liabilities $1,300 30.2 If the balance sheet for Philadelphia Pretzel shows assets at book value instead of marketvalue, the goodwill will be only $60,000 (=$300,000 - $240,000). Thus, the net fixed assetsare $620,000 (=$1,300,000 - $480,000 - $140,000 - $60,000).Balance SheetLager Brewing(in $ thousands)Current assets $480 Current liabilities $200Other assets 140 Long-term debt 400Net fixed assets 620 Equity 700Goodwill 60Total assets $1,300 Total liabilities $1,300 30.3Balance SheetLager Brewing(in $ thousands)Current assets $480 Current liabilities $280Other assets 140 Long-term debt 100Net fixed assets 580 Equity 820Total assets $1,200 Total liabilities $1,200 30.4 a. False. Although the reasoning seems correct, the Stillman-Eckbo data do not supportthe monopoly power theory.b. True. When managers act in their own interest, acquisitions are an important controldevice for shareholders. It appears that some acquisitions and takeovers are theconsequence of underlying conflicts between managers and shareholders.c. False. Even if markets are efficient, the presence of synergy will make the value ofthe combined firm different from the sum of the values of the separate firms.Incremental cash flows provide the positive NPV of the transaction.d. False. In an efficient market, traders will value takeovers based on “Fundamentalfactors” regardless of the time horizon. Recall that the evidence as a whole suggestsefficiency in the markets. Mergers should be no different.e. False. The tax effect of an acquisition depends on whether the merger is taxable ornon-taxable. In a taxable merger, there are two opposing factors to consider, thecapital gains effect and the write-up effect. The net effect is the sum of these twoeffects.f. True. Because of the coinsurance effect, wealth might be transferred from thestockholders to the bondholders. Acquisition analysis usually disregards this effectand considers only the total value.30.530.6 a. The weather conditions are independent. Thus, the joint probabilities are theproducts of the individual probabilities.Possible states Joint probabilityRain Rain 0.1 x 0.1=0.01Rain Warm 0.1 x 0.4=0.04Rain Hot 0.1 x 0.5=0.05Warm Rain 0.4 x 0.1=0.04Warm Warm 0.4 x 0.4=0.16Warm Hot 0.4 x 0.5=0.20Hot Rain 0.5 x 0.1=0.05Hot Warm 0.5 x 0.4=0.20Hot Hot 0.5 x 0.5=0.25Since the state Rain Warm has the same outcome (revenue) as Warm Rain, theirprobabilities can be added. The same is true of Rain Hot, Hot Rain and Warm Hot,Hot Warm. Thus the joint probabilities arePossibleJoint probabilitystatesRain Rain 0.01Rain Warm 0.08Rain Hot 0.10Warm Warm 0.16Warm Hot 0.40Hot Hot 0.25The joint values are the sums of the values of the two companies for the particularstate.Possible states Joint valueRain Rain $200,000Rain Warm 300,000Warm Warm 400,000Rain Hot 500,000Warm Hot 600,000Hot Hot 800,000b. Recall, if a firm cannot service its debt, the bondholders receive the value of the assets.Thus, the value of the debt is the value of the company if the face value of the debt isgreater than the value of the company. If the value of the company is greater than the value of the debt, the value of the debt is its face value. Here the value of the common stock is always the residual value of the firm over the value of the debt.Joint Prob. Joint Value Debt Value Stock Value0.01 $200,000 $200,000 $00.08 300,000 300,000 00.16 400,000 400,000 00.10 500,000 400,000 100,0000.40 600,000 400,000 200,0000.25 800,000 400,000 400,000c. To show that the value of the combined firm is the sum of the individual values, youmust show that the expected joint value is equal to the sum of the separate expected values.Expected joint value= 0.01($200,000) + 0.08($300,000) + 0.16($400,000) + 0.10($500,000) +0.40($600,000) + 0.25($800,000)= $580,000Since the firms are identical, the sum of the expected values is twice the expectedvalue of either.Expected individual value = 0.1($100,000) + 0.4($200,000) + 0.5($400,000) = $290,000 Expected combined value = 2($290,000) = $580,000d. The bondholders are better off if the value of the debt after the merger is greater thanthe value of the debt before the merger.Value of the debt before the merger:The value of debt for either company= 0.1($100,000) + 0.4($200,000) + 0.5($200,000) = $190,000Total value of debt before the merger = 2($190,000) = $380,000Value of debt after the merger= 0.01($200,000) + 0.08($300,000) + 0.16($400,000) + 0.10($400,000) +0.40($400,000) +0.25($400,000)= $390,000The bondholders are $10,000 better off after the merger.30.7 The decision hinges upon the risk of surviving. The final decision should hinge on thewealth transfer from bondholders to stockholders when risky projects are undertaken.High-risk projects will reduce the expected value of the bondholders’ claims on the firm.The telecommunications business is riskier than the utilities business. If the total value of the firm does not change, the increase in risk should favor the stockholder. Hence,management should approve this transaction. Note, if the total value of the firm dropsbecause of the transaction and the wealth effect is lower than the reduction in total value, management should reject the project.30.8 If the market is “smart,” the P/E ratio will not be constant.a. Value = $2,500 + $1,000 = $3,500b. EPS = Post-merger earnings / Total number of shares=($100 + $100)/200 =$1c. Price per share = Value/Total number of shares=$3,500/200 =$17.50d. If the market is “fooled,” the P/E ratio will be constant at $25.Value = P/E * Total number of shares= 25 * 200 = $5,000EPS = Post-merger earnings / Total number of shares=$5,000/200 = $25.0030.9 a. After the merger, Arcadia Financial will have 130,000 [=10,000 + (50,000)(6/10)]shares outstanding. The earnings of the combined firm will be $325,000. The earningsper share of the combined firm will be $2.50 (=$325,000/130,000). The acquisition will increase the EPS for the stockholders from $2.25 to $2.50.b. There will be no effect on the original Arcadia stockholders. No synergies exist in thismerger since Arcadia is buying Coldran at its market price. Examining the relativevalues of the two firms sees the latter point.Share price of Arcadia = (16 * $225,000) / 100,000=$36Share price of Coldran = (10.8 * $100,000) / 50,000=$21.60The relative value of these prices is $21.6/$36 = 0.6. Since Coldran’s shareholdersreceive 0.6 shares of Arcadia for every share of Coldran, no synergies exist.30.10 a. The synergy will be the discounted incremental cash flows. Since the cash flows areperpetual, this amount isb. The value of Flash-in-the-Pan to Fly-by-Night is the synergy plus the current marketvalue of Flash-in-the-Pan.V = $7,500,000 + $20,000,000= $27,500,000c. Cash alternative = $15,000,000Stock alternative = 0.25($27,500,000 + $35,000,000)= $15,625,000d. NPV of cash alternative = V - Cost=$27,500,000 - $15,000,000=$12,500,000NPV of stock alternative = V - Cost=$27,500,000 - $15,625,000=$11,875,000e. Use the cash alternative, its NPV is greater.30.11 a. The value of Portland Industries before the merger is $9,000,000 (=750,000x12). Thisvalue is also the discounted value of the expected future dividends.$9,000,000 =r = 0.1025 = 10.25%r is the risk-adjusted discount rate for Portland’s expected future dividends.the value of Portland Industries after the merger isThis is the value of Portland Industries to Freeport.b. NPV = Gain - Cost= $14,815,385 - ($40x250, 000)= $4,815,385c. If Freeport offers stock, the value of Portland Industries to Freeport is the same, but thecost differs.Cost = (Fraction of combined firm owned by Portland’s stockholders)x(Value of the combined firm)Value of the combined firm = (Value of Freeport before merger)+ (Value of Portland to Freeport)= $15x1,000,000 + $14,815,385= $29,815,385Cost = 0.375x$29,815,385= $11,180,769NPV= $14,815,385 - $11,180,769=$3,634,616d. The acquisition should be attempted with a cash offer since it provides a higher NPV.e. The value of Portland Industries after the merger isThis is the value of Portland Industries to Freeport.NPV = Gain-Cost=$11,223,529 - ($40x250,000)=$1,223,529If Freeport offers stock, the value of Portland Industries to Freeport is the same, but the cost differs.Cost = (Fraction of combined firm owned by Portland’s stockholders)x(Value of the combined firm)Value of the combined firm = (Value of Freeport before merger)+ (Value of Portland to Freeport)= $15x1,000,000 + $11,223,529= $26,223,529Cost = 0.375 * $26,223,529=$9,833,823NPV = $11,223,529 - $9,833,823=$1,389,706The acquisition should be attempted with a stock offer since it provides a higher NPV.30.12 a. Number of shares after acquisition=30 + 15 = 45 milStock price of Harrods after acquisition = 1,000/45=22.22 poundsb. Value of Selfridge stockholders after merger:α * 1,000 = 300α = 30%New shares issued = 12.86 mil12.86:20 = 0.643:1The proper exchange ratio should be 0.643 to make the stock offer’s value to Selfridgeequivalent to the cash offer.30.13 To evaluate this proposal, look at the present value of the incremental cash flows.Cash Flows to Company A(in $ million)Year 0 1 2 3 4 5Acquisition of B -550Dividends from B 150 32 5 20 30 45Tax-loss carryforwards 25 25Terminal value 600Total -400 32 30 45 30 645 The additional cash flows from the tax-loss carry forwards and the proposed level of debt should be discounted at the cost of debt because they are determined with very littleuncertainty.The after-tax cash flows are subject to normal business risk and must be discounted at anormal rate.Beta coefficient for the bond = 0.25 = [(8%-6%)/8%].Beta coefficient for the company = 1 = [(0.25)2 + (1.25)(0.75)]Discount rate for normal operations:r = 6% + 8% (1) = 14%Discount rate for dividends:The new beta coefficient for the company, 1, must be the weighted average of the debtbeta and the stock beta.1 = 0.5(0.25) + 0.5(βs)βs = 1.75r = 6% + 8%(1.75) = 20%Because the NPV of the acquisition is negative, Company A should not acquireCompany B.30.14 The commonly used defensive tactics by target-firm managers include:i. corporate charter amendments like super-majority amendment or staggering theelection of board members.ii. repurchase standstill agreements.iii. exclusionary self-tenders.iv. going private and leveraged buyouts.v. other devices like golden parachutes, scorched earth strategy, poison pill, ..., etc.Mini Case: U.S.Steel’s case.You have 3 choices: tender, or do not tender or sell in the market. If you do sell your shares in the market, at some point, somebody else would need to make a decision in “tender” or “not tender” as well.It is important to recognize that the firm has about 60 million shares outstanding (since 30 million shares will give US Steel 50.1% of Marathon shares). Let’s consider the possible sellingthe market price.If you choose not to tender, and 30 million shares were tendered US Steel succeeds to gain50.1% control, you will only receive $85 a share. If you do tender, the price you will receive will be no worse than $85 a share and can be as high as $125 a share. Depending on the number of shares tendered, you will receive one of the following prices.If only 50.1% tendered, you will get $125 per share.If the shares tendered exceed 50.1% but less than 100%, you will get more than $105 ashare.If all 60 million shares were tendered, you will get $105 per share. (which is )It is clear that, in the above 3 cases, when you are not sure about whether US Steel will succeed or not, you will be better off to tender your shares than not tender. This is because at best, you will only receive $85 per share if you choose not to tender.版权申明本文部分内容,包括文字、图片、以及设计等在网上搜集整理。
最新公司理财罗斯课后习题答案
公司理财罗斯课后习题答案第一章1.在所有权形式的公司中,股东是公司的所有者。
股东选举公司的董事会,董事会任命该公司的管理层。
企业的所有权和控制权分离的组织形式是导致的代理关系存在的主要原因。
管理者可能追求自身或别人的利益最大化,而不是股东的利益最大化。
在这种环境下,他们可能因为目标不一致而存在代理问题。
2.非营利公司经常追求社会或政治任务等各种目标。
非营利公司财务管理的目标是获取并有效使用资金以最大限度地实现组织的社会使命。
3.这句话是不正确的。
管理者实施财务管理的目标就是最大化现有股票的每股价值,当前的股票价值反映了短期和长期的风险、时间以及未来现金流量。
4.有两种结论。
一种极端,在市场经济中所有的东西都被定价。
因此所有目标都有一个最优水平,包括避免不道德或非法的行为,股票价值最大化。
另一种极端,我们可以认为这是非经济现象,最好的处理方式是通过政治手段。
一个经典的思考问题给出了这种争论的答案:公司估计提高某种产品安全性的成本是30美元万。
然而,该公司认为提高产品的安全性只会节省20美元万。
请问公司应该怎么做呢?”5.财务管理的目标都是相同的,但实现目标的最好方式可能是不同的,因为不同的国家有不同的社会、政治环境和经济制度。
6.管理层的目标是最大化股东现有股票的每股价值。
如果管理层认为能提高公司利润,使股价超过35美元,那么他们应该展开对恶意收购的斗争。
如果管理层认为该投标人或其它未知的投标人将支付超过每股35美元的价格收购公司,那么他们也应该展开斗争。
然而,如果管理层不能增加企业的价值,并且没有其他更高的投标价格,那么管理层不是在为股东的最大化权益行事。
现在的管理层经常在公司面临这些恶意收购的情况时迷失自己的方向。
7.其他国家的代理问题并不严重,主要取决于其他国家的私人投资者占比重较小。
较少的私人投资者能减少不同的企业目标。
高比重的机构所有权导致高学历的股东和管理层讨论决策风险项目。
此外,机构投资者比私人投资者可以根据自己的资源和经验更好地对管理层实施有效的监督机制。
罗斯《公司理财》英文习题答案DOCchap012
公司理财习题答案第十二章Chapter 12: Risk, Return, and Capital Budgeting12.1 Cost of equity R S = 5 + 0.95 (9) = 13.55% NPV of the project= -$1.2 million + $340,.0001135515tt =∑= -$20,016.52Do not undertake the project. 12.2 a. R D= (-0.05 + 0.05 + 0.08 + 0.15 + 0.10) / 5 = 0.066 R M = (-0.12 + 0.01 + 0.06 + 0.10 + 0.05) / 5 = 0.02b.DR- D R M R -R M(M R -M R )2 (D R -R D )(M R -R M )-0.116 -0.14 0.0196 0.01624 -0.016 -0.01 0.0001 0.00016 0.014 0.04 0.0016 0.00056 0.084 0.08 0.0064 0.00672 0.034 0.03 0.0009 0.001020.02860.02470Beta of Douglas = 0.02470 / 0.0286 = 0.86412.3 R S = 6% + 1.15 ⨯ 10% = 17.5% R B = 6% + 0.3 ⨯ 10% = 9% a. Cost of equity = R S = 17.5% b. B / S = 0.25 B / (B + S) = 0.2 S / (B + S) = 0.8WACC = 0.8 ⨯ 17.5% + 0.2 ⨯ 9% (1 - 0.35)= 15.17%12.4 C σ = ()2104225.0 = 0.065M σ = ()2101467.0 = 0.0383Beta of ceramics craftsman = CM ρC σ M σ / M σ2 = CM ρC σ/ M σ = (0.675) (0.065) / 0.0383 = 1.146 12.5a. To compute the beta of Mercantile Manufacturing’s stock, you need the product of the deviations of Mercantile’s returns from their mean and the deviations of the market’s returns from their mean. You also need the squares of the deviations ofthe market’s returns from their mean.The mechanics of computing the means and the deviations were presented in an earlier chapter.R T = 0.196 / 12 = 0.016333 R M = 0.236 / 12 = 0.019667 E(T R -R T ) (M R -R M ) = 0.038711 E(M R -R M )2 = 0.038588 β = 0.038711 / 0.038588= 1.0032b.The beta of the average stock is 1. Mercantile’s beta is close to 1, indicating that its stock has average risk.12.6 a.R M can have three values, 0.16, 0.18 or 0.20. The probability that M R takes one of these values is the sum of the joint probabilities of the return pair that include theparticular value of M R . For example, if M R is 0.16, R J will be 0.16, 0.18 or 0.22. The probability that M R is 0.16 and R J is 0.16 is 0.10. The probability that R M is 0.16 and R J is 0.18 is 0.06. The probability that M R is 0.16 and R J is 0.22 is 0.04. The probability that M R is 0.16 is, therefore, 0.10 + 0.06 + 0.04 = 0.20. The same procedure is used to calculate the probability that M R is 0.18 and the probability that M R is 0.20. Remember, the sum of the probability must be one.M RProbability 0.16 0.20 0.18 0.60 0.20 0.20 b. i.RM= 0.16 (0.20) + 0.18 (0.60) + 0.20 (0.20) = 0.18ii. 2M σ = (0.16 - 0.18) 2 (0.20) + (0.18 - 0.18) 2 (0.60) + (0.20 - 0.18) 2 (0.20)= 0.00016iii. M σ = ()2100016.0 = 0.01265c. R J Probability .18 .20 .20 .40 .22 .20 .24.10d. i. E j = .16 (.10) + .18 (.20) + .20 (.40) + .22 (.20) + .24(.10) = .20 ii. σj 2 = (.16 - .20)2 (.10) + (.18 - .20)2 (.20) + (.20 - .20)2 (.40)+ (.22 - .20)2 (.20) + (.24 - .20)2 (.10) = .00048公司理财习题答案第十二章iii. σj = ()21.0 = .0219100048e. Cov mj= (.16 - .18) (.16 - .20) (.10) + (.16 - .18) (.18 - .20) (.06)+ (.16 - .18) (.22 - .20) (.04) + (.20 - .18) (.18 - .20) (.02)+ (.20 - .18) (.22 - .20) (.04) + (.20 - .18) (.24 - .20) (.10)= .000176Corr mj = (0.000176) / (0.01265) (0.02191) = 0.635f. βj = (.635) (.02191) / (.01265) = 1.1012.7 i. The risk of the new project is the same as the risk of the firm without the project.ii. The firm is financed entirely with equity.12.8 a. Pacific Cosmetics should use its stock beta in the evaluation of the project only ifthe risk of the perfume project is the same as the risk of Pacific Cosmetics.b. If the risk of the project is the same as the risk of the firm, use the firm’s stock beta.If the risk differs, then use the beta of an all-equity firm with similar risk as theperfume project. A good way to estimate the beta of the project would be toaverage the betas of many perfume producing firms.12.9 E(R S) = 0.1 ⨯ 3 + 0.3 ⨯ 8 + 0.4 ⨯ 20 + 0.2 ⨯ 15 = 13.7%E(R B) = 0.1 ⨯ 8 + 0.3 ⨯ 8 + 0.4 ⨯ 10 + 0.2 ⨯ 10 = 9.2%E(R M) = 0.1 ⨯ 5 + 0.3 ⨯ 10 + 0.4 ⨯ 15 + 0.2 ⨯ 20 = 13.5%State {R S - E(R S)}{R M - E(R M)}Pr {R B - E(R B)}{R M - E(R M)}Pr1 (0.03-0.137)(0.05-0.135)⨯0.1 (0.08-0.092)(0.05-0.135)⨯0.12 (0.08-0.137)(0.10-0.135)⨯0.3 (0.08-0.092)(0.10-0.135)⨯0.33 (0.20-0.137)(0.15-0.135)⨯0.4 (0.10-0.092)(0.15-0.135)⨯0.44 (0.15-0.137)(0.20-0.135)⨯0.2 (0.10-0.092)(0.20-0.135)⨯0.2Sum 0.002056 0.00038= Cov(R S, R M) = Cov(R B, R M)σM 2= 0.1 (0.05 - 0.135)2 + 0.3 (0.10-0.135)2+ 0.4 (0.15-0.135)2 + 0.2 (0.20-0.135)2= 0.002025a. Beta of debt = Cov(R B, R M) / σM2 = 0.00038 / 0.002025= 0.188b. Beta of stock = Cov(R S, R M) / σM2 = 0.002055 / 0.002025= 1.015c. B / S = 0.5Thus, B / (S + B) = 1 / 3 = 0.3333S / (S + B) = 2 / 3 = 0.6667Beta of asset = 0.188 ⨯ 0.3333 + 1.015 ⨯ 0.6667= 0.73912.10 The discount rate for the project should be lower than the rate implied by the use ofthe Security Market Line. The appropriate discount rate for such projects is theweighted average of the interest rate on debt and the cost of equity. Since theinterest rate on the debt of a given firm is generally less than the firm’s cost ofequity, using only the stock’s beta yields a discount rate that is too high. Theconcept and practical uses of a weighted average discount rate will be in a laterchapter.12.11i. RevenuesThe gross income of the firm is an important factor in determining beta. Firmswhose revenues are cyclical (fluctuate with the business cycle) generally have highbetas. Firms whose revenues are not cyclical tend to have lower betas.ii. Operating leverageOperating leverage is the percentage change in earnings before interest and taxes(EBIT) for a percentage change in sales, [(Change in EBIT / EBIT) (Sales / Changein sales)]. Operating leverage indicates the ability of the firm to service its debt andpay stockholders.iii. Financial leverageFinancial leverage arises from the use of debt. Financial leverage indicates theability of the firm to pay stockholders. Since debt holders must be paid beforestockholders, the higher the financial leverage of the firm, the riskier its stock.The beta of common stock is a function of all three of these factors. Ultimately, theriskiness of the stock, of which beta captures a portion, is determined by thefluctuations in the income available to the stockholders. (As was discussed in thechapter, whether income is paid to the stockholders in the form of dividends or it isretained to finance projects are irrelevant as long as the projects are of similar riskas the firm.) The income available to common stock, the net income of the firm,depends initially on the revenues or sales of the firm. The operating leverageindicates how much of each dollar of revenue will become EBIT. Financialleverage indicates how much of each dollar of EBIT will become net income.12.12 a. Cost of equity for National Napkin= 7 + 1.29 (13 - 7)= 14.74%b. B / (S + B) = S / (S + B) = 0.5WACC = 0.5 ⨯ 7 ⨯ 0.65 + 0.5 ⨯ 14.74= 9.645%12.13 B = $60 million ⨯ 1.2 = $72 millionS = $20 ⨯ 5 million = $100 millionB / (S + B) = 72 / 172 = 0.4186S / (S + B) = 100 / 172 = 0.5814WACC = 0.4186 ⨯ 12% ⨯ 0.75 + 0.5814 ⨯ 18%= 14.23%12.14 S = $25 ⨯ 20 million = $500 millionB = 0.95 ⨯ $180 million = $171 million公司理财习题答案第十二章B / (S + B) = 0.2548 S / (S + B) = 0.7452 WACC = 0.7452 ⨯ 20% + 0.2548 ⨯ 10%⨯ 0.60 = 16.43%12.15 B / S = 0.75 B / (S + B) = 3 / 7 S / (S + B) = 4 / 7 WACC = (4 / 7) ⨯ 15% + (3 / 7) ⨯ 9%⨯ (1 - 0.35) = 11.08%NPV = -$25 million + $7(.)m illion tt 10110815+=∑= $819,299.04 Undertake the project.12.16 WACC = (0.5) x 28% + (0.5) x 10% x (1 - 0.35)= 17.25%NPV = - $1,000,000 + (1 - 0.35) $600,000 51725.0A = $240,608.50Mini Case: Allied ProductsAssumptionsPP&E Investment 42,000,000 Useful life of PP&E Investment (years) 7NEW GPWS price/unit (Year 1) 70,000 NEW GPWS variable cost/unit (Year 1) 50,000 UPGRADE GPWS price/unit (Year 1) 35,000 UPGRADE GPWS variable cost/unit (Year 1) 22,000Year 1 marketing and admin costs 3,000,000 Annual inflation rate 3.00% Corporate Tax rate 40.00%Beta (9/27 Valueline) 1.20 Rf (30 year U.S. Treasury Bond) 6.20%NEW GPWS Market Growth (Strong Growth) 15.00%NEW GPWS Market Growth (Moderate Growth) 10.00%NEW GPWS Market Growth (Mild Recession) 6.00%NEW GPWS Market Growth (Severe Recession state of economy) 3.00%Total Annual Market for UPGRADE GPWS (units) 2,500Allied Signal Market Share in each market 45.00%公司理财习题答案第十二章Year 0 1 2 3 4 5 SalesNEWUnits 97 107 118 130 144 Price 70,000 72,100 74,263 76,491 78,786 Total NEW 6,772,500 7,688,654 8,736,317 9,935,345 11,308,721 UPGRADEUnits 1,125 1,125 1,125 1,125 1,125 Price 35,000 36,050 37,132 38,245 39,393 Total UPGRADE 39,375,000 40,556,250 41,772,938 43,026,126 44,316,909 Total Sales 46,147,500 48,244,904 50,509,254 52,961,470 55,625,630 Variable CostsNEW 4,837,500 5,491,896 6,240,226 7,096,675 8,077,658 UPGRADE 24,750,000 25,492,500 26,257,275 27,044,993 27,856,343 Total Variable Costs 29,587,500 30,984,396 32,497,501 34,141,668 35,934,001SG&A 3,000,000 3,090,000 3,182,700 3,278,181 3,376,526 Depreciation 6,001,800 10,285,800 7,345,800 5,245,800 3,750,600EBIT 7,558,200 3,884,708 7,483,253 10,295,821 12,564,503 Interest 0 0 0 0 0 Tax 3,023,280 1,553,883 2,993,301 4,118,329 5,025,801 Net Income 4,534,920 2,330,825 4,489,952 6,177,493 7,538,702EBIT + Dep - Taxes 10,536,720 12,616,625 11,835,752 11,423,293 11,289,302 Less: Change in NWC 2,000,000 307,375 104,870 113,218 122,611 (2,648,074) Less: Captial Spending 42,000,000 (10,948,080) CF from Assets: (44,000,000) 10,229,345 12,511,755 11,722,534 11,300,682 24,885,455 Discounted CF from Assets 9,304,480 10,351,583 8,821,741 7,735,381 15,494,120Total Discounted CF from Assets 51,707,305Results。
英文版罗斯公司理财习题答案Chap013
CHAPTER 13CORPORATE FINANCING DECISIONS AND EFFICIENT CAPITAL MARKETS Answers to Concepts Review and Critical Thinking Questions1.To create value, firms should accept financing proposals with positive net present values. Firms cancreate valuable financing opportunities in three ways: 1) Fool investors. A firm can issue a complex security to receive more than the fair market value. Financial managers attempt to package securities to receive the greatest value. 2) Reduce costs or increase subsidies. A firm can package securities to reduce taxes. Such a security will increase the value of the firm. In addition, financing techniques involve many costs, such as accountants, lawyers, and investment bankers. Packaging securities in a way to reduce these costs will also increase the value of the firm. 3) Create a new security. A previously unsatisfied investor may pay extra for a specialized security catering to his or her needs.Corporations gain from developing unique securities by issuing these securities at premium prices.2.The three forms of the efficient markets hypothesis are: 1) Weak form. Market prices reflectinformation contained in historical prices. Investors are unable to earn abnormal returns using historical prices to predict future price movements. 2) Semi-strong form. In addition to historical data, market prices reflect all publicly-available information. Investors with insider, or private information, are able to earn abnormal returns. 3) Strong form. Market prices reflect all information, public or private. Investors are unable to earn abnormal returns using insider information or historical prices to predict future price movements.3. a.False. Market efficiency implies that prices reflect all available information, but it does notimply certain knowledge. Many pieces of information that are available and reflected in prices are fairly uncertain. Efficiency of markets does not eliminate that uncertainty and therefore does not imply perfect forecasting ability.b.True. Market efficiency exists when prices reflect all available information. To be efficient inthe weak form, the market must incorporate all historical data into prices. Under the semi-strong form of the hypothesis, the market incorporates all publicly-available information in addition to the historical data. In strong form efficient markets, prices reflect all publicly and privately available information.c.False. Market efficiency implies that market participants are rational. Rational people willimmediately act upon new information and will bid prices up or down to reflect that information.d. False. In efficient markets, prices reflect all available information. Thus, prices will fluctuatewhenever new information becomes available.e.True. Competition among investors results in the rapid transmission of new market information.In efficient markets, prices immediately reflect new information as investors bid the stock price up or down.B-2 SOLUTIONS4.On average, the only return that is earned is the required return—investors buy assets with returns inexcess of the required return (positive NPV), bidding up the price and thus causing the return to fall to the required return (zero NPV); investors sell assets with returns less than the required return (negative NPV), driving the price lower and thus causing the return to rise to the required return (zero NPV).5.The market is not weak form efficient.6.Yes, historical information is also public information; weak form efficiency is a subset of semi-strong form efficiency.7.Ignoring trading costs, on average, such investors merely earn what the market offers; the trades allhave zero NPV. If trading costs exist, then these investors lose by the amount of the costs.8.Unlike gambling, the stock market is a positive sum game; everybody can win. Also, speculatorsprovide liquidity to markets and thus help to promote efficiency.9.The EMH only says, within the bounds of increasingly strong assumptions about the informationprocessing of investors, that assets are fairly priced. An implication of this is that, on average, the typical market participant cannot earn excessive profits from a particular trading strategy. However, that does not mean that a few particular investors cannot outperform the market over a particular investment horizon. Certain investors who do well for a period of time get a lot of attention from the financial press, but the scores of investors who do not do well over the same period of time generally get considerably less attention from the financial press.10. a.If the market is not weak form efficient, then this information could be acted on and a profitearned from following the price trend. Under (2), (3), and (4), this information is fully impounded in the current price and no abnormal profit opportunity exists.b. Under (2), if the market is not semi-strong form efficient, then this information could be usedto buy the stock ―cheap‖ before the rest of the market discovers the financial statement anomaly. Since (2) is stronger than (1), both imply that a profit opportunity exists; under (3) and (4), this information is fully impounded in the current price and no profit opportunity exists.c.Under (3), if the market is not strong form efficient, then this information could be used as aprofitable trading strategy, by noting the buying activity of the insiders as a signal that the stock is underpriced or that good news is imminent. Since (1) and (2) are weaker than (3), all three imply that a profit opportunity exists. Under (4), this information does not signal any profit opportunity for traders; any pertinent information the manager-insiders may have is fully reflected in the current share price.11. A technical analyst would argue that the market is not efficient. Since a technical analyst examinespast prices, the market cannot be weak form efficient for technical analysis to work. If the market is not weak form efficient, it cannot be efficient under stronger assumptions about the information available.CHAPTER 13 B-3 12.Investor sentiment captures the mood of the investing public. If investors are bearish in general, itmay be that the market is headed down in the future since investors are less likely to invest. If the sentiment is bullish, it would be taken as a positive signal to the market. To use investor sentiment in technical analysis, you would probably want to construct a ratio such as a bulls/bears ratio. To use the ratio, simply compare the historical ratio to the market to determine if a certain level on the ratio indicates a market upturn or downturn.13.Taken at face value, this fact suggests that markets have become more efficient. The increasing easewith which information is available over the internet lends strength to this conclusion. On the other hand, during this particular period, large-capitalization growth stocks were the top performers.Value-weighted indexes such as the S&P 500 are naturally concentrated in such stocks, thus making them especially hard to beat during this period. So, it may be that the dismal record compiled by the pros is just a matter of bad luck or benchmark error.14.It is likely the market has a better estimate of the stock price, assuming it is semistrong formefficient. However, semistrong form efficiency only states that you cannot easily profit from publicly available information. If financial statements are not available, the market can still price stocks based upon the available public information, limited though it may be. Therefore, it may have been as difficult to examine the limited public information and make an extra return.15. a.Aerotech’s stock price should rise immediately after the announcement of the positive news.b. Only scenario (ii) indicates market efficiency. In that case, the price of the stock risesimmediately to the level that reflects the new information, eliminating all possibility of abnormal returns. In the other two scenarios, there are periods of time during which an investor could trade on the information and earn abnormal returns.16. False. The stock price would h ave adjusted before the founder’s death only if investors had perfectforecasting ability. The 12.5 percent increase in the stock price after the founder’s death indicates that either the market did not anticipate the death or that the market had anticipated it imperfectly.However, the market reacted immediately to the new information, implying efficiency. It is interesting that the stock price rose after the announcement of the founder’s death.This price behavior indicates that the market felt he was a liability to the firm.17.The announcement should not deter investors from buying UPC’s stock. If the market is semi-strongform efficient, the stock price will have already reflected the present value of the payments that UPC must make. The expected return after the announcement should still be equal to the expected return before the announcement. UPC’s current stockholders bear the burden of the loss, since the stock price falls on the announcement. After the announcement, the expected return moves back to its original level.18.The market is generally considered to be efficient up to the semi-strong form. Therefore, nosystematic profit can be made by trading on publicly-available information. Although illegal, the lead engineer of the device can pr ofit from purchasing the firm’s stock before the news release on the implementation of the new technology. The price should immediately and fully adjust to the new information in the article. Thus, no abnormal return can be expected from purchasing after the publication of the article.B-4 SOLUTIONS19.Under the semi-strong form of market efficiency, the stock price should stay the same. Theaccounting system changes are publicly available information. Investors would identify no changes in either the firm’s current or its future cash flows. Thus, the stock price will not change after the announcement of increased earnings.20.Because the number of subscribers has increased dramatically, the time it takes for information inthe newsletter to be reflected in prices has shortened. With shorter adjustment periods, it becomes impossible to earn abnormal returns with the information provided by Durkin. If Durkin is using only publicly-available information in its newsletter, its ability to pick stocks is inconsistent with the efficient markets hypothesis. Under the semi-strong form of market efficiency, all publicly-available information should be reflected in stock prices. The use of private information for trading purposes is illegal.21.You should not agree with your broker. The performance ratings of the small manufacturing firmswere published and became public information. Prices should adjust immediately to the information, thus preventing future abnormal returns.22. Stock prices should immediately and fully rise to reflect the announcement. Thus, one cannot expectabnormal returns following the announcement.23. a.No. Earnings information is in the public domain and reflected in the current stock price.b. Possibly. If the rumors were publicly disseminated, the prices would have already adjusted forthe possibility of a merger. If the rumor is information that you received from an insider, you could earn excess returns, although trading on that information is illegal.c. No. The information is already public, and thus, already reflected in the stock price.24. Serial correlation occurs when the current value of a variable is related to the future value of thevariable. If the market is efficient, the information about the serial correlation in the macroeconomic variable and its relationship to net earnings should already be reflected in the stock price. In other words, although there is serial correlation in the variable, there will not be serial correlation in stock returns. Therefore, knowledge of the correlation in the macroeconomic variable will not lead to abnormal returns for investors.25. The statement is false because every investor has a different risk preference. Although the expectedreturn from every well-diversified portfolio is the same after adjusting for risk, investors still need to choose funds that are consistent with their particular risk level.26. The share price will decrease immediately to reflect the new information.At the time of theannouncement, the price of the stock should immediately decrease to reflect the negative information.CHAPTER 13 B-5 27. In an efficient market, the cumulative abnormal return (CAR) for Prospectors would risesubstantially at the announcement of a new discovery. The CAR falls slightly on any day when no discovery is announced. There is a small positive probability that there will be a discovery on any given day. If there is no discovery on a particular day, the price should fall slightly because the good event did not occur. The substantial price increases on the rare days of discovery should balance the small declines on the other days, leaving CARs that are horizontal over time. The substantial price increases on the rare days of discovery should balance the small declines on all the other days, leavings CARs that are horizontal over time.28.Behavioral finance attempts to explain both the 1987 stock market crash and the Internet bubble bychanges in investor sentiment and psychology. These changes can lead to non-random price behavior.Solutions to Questions and ProblemsNOTE: All end-of-chapter problems were solved using a spreadsheet. Many problems require multiple steps. Due to space and readability constraints, when these intermediate steps are included in this solutions manual, rounding may appear to have occurred. However, the final answer for each problem is found without rounding during any step in the problem.Basic1.To find the cumulative abnormal returns, we c hart the abnormal returns for each of the three airlinesfor the days preceding and following the announcement. The abnormal return is calculated by subtracting the market return from a stock’s return on a particular day, R i– R M. Group the returns by the number of days before or after the announcement for each respective airline. Calculate the cumulative average abnormal return by adding each abnormal return to the previous day’s abnormal return.Abnormal returns (R i– R M)Days fromannouncement Delta United American SumAverageabnormal returnCumulativeaverage residual–3 0.2 –0.1 0.2 0.3 0.1 –0.1 –2 0.2 –0.2 0.0 0.0 0.0 –0.1 –1 0.2 0.2 –0.4 0.0 0.0 –0.10 3.3 0.2 1.9 5.4 1.8 1.71 0.2 0.1 0.0 0.3 0.1 1.82 –0.1 0.0 0.1 0.0 0.0 1.83 –0.2 0.1 –0.2 –0.3 –0.1 1.74 –0.1 –0.1 –0.1 –0.3 –0.1 1.6B-6 SOLUTIONSThe market reacts favorably to the announcements. Moreover, the market reacts only on the day of the announcement. Before and after the event, the cumulative abnormal returns are relatively flat.This behavior is consistent with market efficiency.2. The diagram does not support the efficient markets hypothesis. The CAR should remain relativelyflat following the announcements. The diagram reveals that the CAR rose in the first month, only to drift down to lower levels during later months. Such movement violates the semi-strong form of the efficient markets hypothesis because an investor could earn abnormal profits while the stock price gradually decreased.3. a.Supports. The CAR remained constant after the event at time 0. This result is consistent withmarket efficiency, because prices adjust immediately to reflect the new information. Drops in CAR prior to an event can easily occur in an efficient capital market. For example, consider a sample of forced removals of the CEO. Since any CEO is more likely to be fired following bad rather than good stock performance, CARs are likely to be negative prior to removal. Because the firing of the CEO is announced at time 0, one cannot use this information to trade profitably before the announcement. Thus, price drops prior to an event are neither consistent nor inconsistent with the efficient markets hypothesis.b. Rejects. Because the CAR increases after the event date, one can profit by buying after theevent. This possibility is inconsistent with the efficient markets hypothesis.c.Supports. The CAR does not fluctuate after the announcement at time 0. While the CAR wasrising before the event, insider information would be needed for profitable trading. Thus, the graph is consistent with the semi-strong form of efficient markets.CHAPTER 13 B-7d.Supports. The diagram indicates that the information announced at time 0 was of no value.There appears to be a slight drop in the CAR prior to the event day. Similar to part a, such movement is neither consistent nor inconsistent with the efficient markets hypothesis (EMH).Movements at the event date are neither consistent nor inconsistent with the efficient markets hypothesis.4. Once the verdict is reached, the diagram shows that the CAR continues to decline after the courtdecision, allowing investors to earn abnormal returns. The CAR should remain constant on average, even if an appeal is in progress, because no new information about the company is being revealed.Thus, the diagram is not consistent with the efficient markets hypothesis (EMH).。
英文版罗斯公司理财习题答案
CHAPTER 7NET PRESENT VALUE AND OTHER INVESTMENT CRITERIAAnswers to Concepts Review and Critical Thinking Questions1. A payback period less than the project’s life means that the NPV is positive for a zero discount rate,but nothing more definitive can be said. For discount rates greater than zero, the payback period will still be less than the project’s life, but the NPV may be positive, zero, or negative, depending on whether the discount rate is less than, equal to, or greater than the IRR. The discounted payback includes the effect of the relevant discount rate. If a project’s discounted payback period is less than the project’s life, it must be the case that NPV is positive.2.If a project has a positive NPV for a certain discount rate, then it will also have a positive NPV for azero discount rate; thus, the payback period must be less than the project life. Since discounted payback is calculated at the same discount rate as is NPV, if NPV is positive, the discounted payback period must be less than the project’s life. If NPV is positive, then the present value of future cash inflows is greater than the initial investment cost; thus PI must be greater than 1. If NPV is positive for a certain discount rate R, then it will be zero for some larger discount rate R*; thus, the IRR must be greater than the required return.3. a.Payback period is simply the accounting break-even point of a series of cash flows. To actuallycompute the payback period, it is assumed that any cash flow occurring during a given period isrealized continuously throughout the period, and not at a single point in time. The payback isthen the point in time for the series of cash flows when the initial cash outlays are fullyrecovered. Given some predetermined cutoff for the payback period, the decision rule is toaccept projects that payback before this cutoff, and reject projects that take longer to payback.The worst problem associated with payback period is that it ignores the time value of money. Inaddition, the selection of a hurdle point for payback period is an arbitrary exercise that lacksany steadfast rule or method. The payback period is biased towards short-term projects; it fullyignores any cash flows that occur after the cutoff point.b.The average accounting return is interpreted as an average measure of the accountingperformance of a project over time, computed as some average profit measure attributable tothe project divided by some average balance sheet value for the project. This text computesAAR as average net income with respect to average (total) book value. Given somepredetermined cutoff for AAR, the decision rule is to accept projects with an AAR in excess ofthe target measure, and reject all other projects. AAR is not a measure of cash flows and marketvalue, but a measure of financial statement accounts that often bear little resemblance to therelevant value of a project. In addition, the selection of a cutoff is arbitrary, and the time valueof money is ignored. For a financial manager, both the reliance on accounting numbers ratherthan relevant market data and the exclusion of time value of money considerations are troubling.Despite these problems, AAR continues to be used in practice because (1) the accountinginformation is usually available, (2) analysts often use accounting ratios to analyze firmperformance, and (3) managerial compensation is often tied to the attainment of targetaccounting ratio goals.c.The IRR is the discount rate that causes the NPV of a series of cash flows to be identically zero.IRR can thus be interpreted as a financial break-even rate of return; at the IRR discount rate,the net value of the project is zero. The acceptance and rejection criteria are:If C0 < 0 and all future cash flows are positive, accept the project if the internal rate ofreturn is greater than or equal to the discount rate.If C0 < 0 and all future cash flows are positive, reject the project if the internal rate ofreturn is less than the discount rate.If C0 > 0 and all future cash flows are negative, accept the project if the internal rate ofreturn is less than or equal to the discount rate.If C0 > 0 and all future cash flows are negative, reject the project if the internal rate ofreturn is greater than the discount rate.IRR is the interest rate that causes NPV for a series of cash flows to be zero. NPV is preferred in all situations to IRR; IRR can lead to ambiguous results if there are non-conventional cash flows, and it also ambiguously ranks some mutually exclusive projects. However, for stand-alone projects with conventional cash flows, IRR and NPV are interchangeable techniques. The IRR decision rule for projectsd.The profitability index is the present value of cash inflows relative to the project cost. As such,it is a benefit/cost ratio, providing a measure of the relative profitability of a project. The profitability index decision rule is to accept projects with a PI greater than one, and to reject projects with a PI less than one. The profitability index can be expressed as: PI = (NPV + cost)/cost = 1 + (NPV/cost). If a firm has a basket of positive NPV projects and is subject to capital rationing, PI may provide a good ranking measure of the projects, indicating the “bang for the buck” of each particu lar project.e.NPV is simply the present value of a project’s cash flows. NPV specifically measures, afterconsidering the time value of money, the net increase or decrease in firm wealth due to the project. The decision rule is to accept projects that have a positive NPV, and reject projects with a negative NPV. NPV is superior to the other methods of analysis presented in the text because it has no serious flaws. The method unambiguously ranks mutually exclusive projects, and can differentiate between projects of different scale and time horizon. The only drawback to NPV is that it relies on cash flow and discount rate values that are often estimates and not certain, but this is a problem shared by the other performance criteria as well. A project with NPV = $2,500 implies that the total shareholder wealth of the firm will increase by $2,500 if the project is accepted.4.For a project with future cash flows that are an annuity:Payback = I / CAnd the IRR is:0 = – I + C / IRRSolving the IRR equation for IRR, we get:IRR = C / INotice this is just the reciprocal of the payback. So:IRR = 1 / PBFor long-lived projects with relatively constant cash flows, the sooner the project pays back, the greater is the IRR.5.There are a number of reasons. Two of the most important have to do with transportation costs andexchange rates. Manufacturing in the U.S. places the finished product much closer to the point of sale, resulting in significant savings in transportation costs. It also reduces inventories because goods spend less time in transit. Higher labor costs tend to offset these savings to some degree, at least compared to other possible manufacturing locations. Of great importance is the fact that manufacturing in the U.S. means that a much higher proportion of the costs are paid in dollars. Since sales are in dollars, the net effect is to immunize profits to a large extent against fluctuations in exchange rates. This issue is discussed in greater detail in the chapter on international finance.6.The single biggest difficulty, by far, is coming up with reliable cash flow estimates. Determining anappropriate discount rate is also not a simple task. These issues are discussed in greater depth in the next several chapters. The payback approach is probably the simplest, followed by the AAR, but even these require revenue and cost projections. The discounted cash flow measures (discounted payback, NPV, IRR, and profitability index) are really only slightly more difficult in practice.7.Yes, they are. Such entities generally need to allocate available capital efficiently, just as for-profitsdo. However, it is frequently the case that the “revenues” from not-for-profit ventures are not tangible. For example, charitable giving has real opportunity costs, but the benefits are generally hard to measure. To the extent that benefits are measurable, the question of an appropriate required return remains. Payback rules are commonly used in such cases. Finally, realistic cost/benefit analysis along the lines indicated should definitely be used by the U.S. government and would go a long way toward balancing the budget!8.The statement is false. If the cash flows of Project B occur early and the cash flows of Project Aoccur late, then for a low discount rate the NPV of A can exceed the NPV of B. Observe the following example.C0C1C2IRR NPV @ 0% Project A –$1,000,000 $0 $1,440,000 20% $440,000 Project B –$2,000,000 $2,400,000 $0 20% 400,000However, in one particular case, the statement is true for equally risky Projects. If the lives of the two Projects are equal and the cash flows of Project B are twice the cash flows of Project A in every time period, the NPV of Project B will be twice the NPV of Project A.9. Although the profitability index (PI) is higher for Project B than for Project A, Project A should bechosen because it has the greater NPV. Confusion arises because Project B requires a smaller investment than Project A requires. Since the denominator of the PI ratio is lower for Project B than for Project A, B can have a higher PI yet have a lower NPV. Only in the case of capital rationing could the company’s decision have been incorrect.10. a.Project A would have a higher IRR since initial investment for Project A is less than that ofProject B, if the cash flows for the two projects are identical.b.Yes, since both the cash flows as well as the initial investment are twice that of Project B.11.Project B would have a more sensitive NPV to changes in the discount rate. The reason is the timevalue of money. Cash flows that occur further out in the future are always more sensitive to changes in the interest rate. This is similar to the interest rate risk of a bond.12.The MIRR is calculated by finding the present value of all cash outflows, the future value of all cashinflows to the end of the project, and then calculating the IRR of the two cash flows. As a result, the cash flows have been discounted or compounded by one interest rate (the required return), and then the interest rate between the two remaining cash flows is calculated. As such, the MIRR is not a true interest rate. In contrast, consider the IRR. If you take the initial investment, and calculate the future value at the IRR, you can replicate the future cash flows of the project exactly.13.The criticism is incorrect. It is true that if you calculate the future value of all intermediate cashflows to the end of the project at the required return, then calculate the NPV of this future value and the initial investment, you will get the same NPV. However, NPV says nothing about reinvestment of intermediate cash flows. The NPV is the present value of the project cash flows. The fact that the reinvestment works is an artifact of the time value of money.14.The criticism is incorrect for several reasons. It is true that if you calculate the future value of allintermediate cash flows to the end of the project at the IRR, then calculate the IRR of this future value and the initial investment, you will get the same IRR. This only occurs if the intermediate cash flows are reinvested at the IRR. However, similar to the previous question, IRR deals with the present value of the cash flows, not the future value. There is also another important point. This criticism deals with the reinvestment of the intermediate cash flows. As we will see in the next chapter, any reinvestment assumption concerning the intermediate cash flows is incorrect. The reason is that when we are calculating the cash flows for a project, we are concerned with the incremental cash flows from the project, that is, the cash flows the project creates. Reinvestment violates this principal. Consider the following example:C0C1C2IRR Project A –$100 $10 $110 10% Suppose this is a deposit into a bank account. The IRR of the cash flows is 10 percent. Does it the IRR change if the Year 1 cash flow is reinvested in the account, or if it is withdrawn and spent on pizza? No. Finally, think back to the yield to maturity calculation on a bond. The YTM is the IRR of the bond investment, but no mention of a reinvestment assumption of the bond coupons is inferred.The reason is that the reinvestment assumption is irrelevant to calculating the YTM on a bond; in the same way, the reinvestment assumption is irrelevant in the IRR calculation.Solutions to Questions and ProblemsNOTE: All end-of-chapter problems were solved using a spreadsheet. Many problems require multiple steps. Due to space and readability constraints, when these intermediate steps are included in this solutions manual, rounding may appear to have occurred. However, the final answer for each problem is found without rounding during any step in the problem.Basic1. a.The payback period is the time that it takes for the cumulative undiscounted cash inflows toequal the initial investment.Project A:Cumulative cash flows Year 1 = €4,000 = €4,000Cumulative cash flows Year 2 = €4,000 +3,500 = €7,500 Payback period = 2 yearsProject B:Cumulative cash flows Year 1 = €2,500 = €2,500Cumulative cash flows Year 2 = €2,500 + 1,200 = €3,700Cumulative cash flows Year 3 = €2,500 + 1,200 + 3,000 = €6,700 Companies can calculate a more precise value using fractional years. To calculate the fractionalpayba ck period, find the fraction of year 3’s cash flows that is needed for the company to have cumulative undiscounted cash flows of €5,000. Divide the difference between the initial investment and the cumulative undiscounted cash flows as of year 2 by the undiscounted cashflow of year 3.Payback period = 2 + (€5,000 –€3,700) / €3,000Payback period = 2.43Since project A has a shorter payback period than project B has, the company should chooseproject A.b.Discount each project’s cash flows at 15 percent. Choose the project with the highest NPV.Project A:NPV = –€7,500 + €4,000 / 1.15 + €3,500 / 1.152 + €1,500 / 1.153NPV = –€388.96Project B:NPV = –€5,000 + €2,500 / 1.15 + €1,200 / 1.152 + €3,000 / 1.153NPV = €53.83The firm should choose Project B since it has a higher NPV than Project A has.2.To calculate the payback period, we need to find the time that the project has recovered its initialinvestment. The cash flows in this problem are an annuity, so the calculation is simpler. If the initial cost is £3,000, the payback period is:Payback = 3 + (£300 / £900) = 3.33 yearsThere is a shortcut to calculate the payback period if the future cash flows are an annuity. Just divide the initial cost by the annual cash flow. For the £3,000 cost, the payback period is:Payback = £3,000 / £900 = 3.33 yearsFor an initial cost of £5,000, the payback period is:Payback = 5 + (£500 / £900) = 5.55 yearsThe payback period for an initial cost of £10,000 is a little trickier. Notice that the total cash inflows after nine years will be:Total cash inflows = 8(£900) = £7,200If the initial cost is £10,000, the project never pays back. Notice that if you use the shortcut forannuity cash flows, you get:Payback = £10,000 / £900 = 11.11 years.This answer does not make sense since the cash flows stop after nine years, so the payback period is never.3.When we use discounted payback, we need to find the value of all cash flows today. The value todayof the project cash flows for the first four years is:Value today of Year 1 cash flow = $7,000/1.14 = $6,140.35Value today of Year 2 cash flow = $7,500/1.142 = $5,771.01Value today of Year 3 cash flow = $8,000/1.143 = $5,399.77Value today of Year 4 cash flow = $8,500/1.144 = $5,032.68To find the discounted payback, we use these values to find the payback period. The discounted first year cash flow is $6,140.35, so the discounted payback for an $8,000 initial cost is:Discounted payback = 1 + ($8,000 – 6,140.35)/$5,771.01 = 1.32 yearsFor an initial cost of $13,000, the discounted payback is:Discounted payback = 2 + ($13,000 – 6,140.35 – 5,771.01)/$5,399.77 = 2.20 yearsNotice the calculation of discounted payback. We know the payback period is between two and three years, so we subtract the discounted values of the Year 1 and Year 2 cash flows from the initial cost.This is the numerator, which is the discounted amount we still need to make to recover our initial investment. We divide this amount by the discounted amount we will earn in Year 3 to get the fractional portion of the discounted payback.If the initial cost is $18,000, the discounted payback is:Discounted payback = 3 + ($18,000 – 6,140.35 – 5,771.01 – 5,399.77) / $5,032.68 = 3.14 years4.To calculate the discounted payback, discount all future cash flows back to the present, and use thesediscounted cash flows to calculate the payback period. Doing so, we find:R = 0%: 4 + (£1,100 / £2,100) = 4.52 yearsDiscounted payback = Regular payback = 4.52 yearsR = 5%: £2,100/1.05 + £2,100/1.052 + £2,100/1.053 + £2,100/1.054 + £2,100/1.055 = £9,091.90 £2,100/1.056 = £1,567.05Discounted payback = 5 + (£9,500 – 9,091.90) / £1,567.05 = 5.26 years R = 15%: £2,100/1.15 + £2,100/1.152 + £2,100/1.153 + £2,100/1.154 + £2,100/1.155 + £2,100/1.156 = £7,947.41; The project never pays back.5. a.The average accounting return is the average project earnings after taxes, divided by theaverage book value, or average net investment, of the machine during its life. The book value of the machine is the gross investment minus the accumulated depreciation.Average book value = (Book Value0 + Book Value1 + Book Value2 + Book Value3 +Book Value4 + Book Value5) / (Economic Life)Average book value = ($16,000 + 12,000 + 8,000 + 4,000 + 0) / (5 years)Average book value = $8,000Average Project Earnings = $4,500To find the average accounting return, we divide the average project earnings by the average book value of the machine to calculate the average accounting return. Doing so, we find:Average Accounting Return = Average Project Earnings / Average Book ValueAverage Accounting Return = $4,500 / $8,000Average Accounting Return = 0.5625 or 56.25%6.First, we need to determine the average book value of the project. The book value is the grossinvestment minus accumulated depreciation.Purchase Date Year 1 Year 2 Year 3 Gross Investment €8,000 €8,000 €8,000 €8,000Less: Accumulated Depreciation 0 4,000 6,500 8,000Net Investment €8,000 €4,000 €1,500 €0 Now, we can calculate the average book value as:Average book value = (€8,000 + 4,000 + 1,500 + 0) / (4 years)Average book value = €3,375To calculate the average accounting return, we must remember to use the aftertax average netincome when calculating the average accounting return. So, the average aftertax net income is:Average aftertax net income = (1 – t c) Annual pretax net incomeAverage aftertax net income = (1 – 0.25) €2,000Average aftertax net income = €1,500The average accounting return is the average after-tax net income divided by the average book value, which is:Average accounting return = €1,500 / €3,375Average accounting return = 0.4444 or 44.44%7.The IRR is the interest rate that makes the NPV of the project equal to zero. So, the equation that definesthe IRR for this project is:0 = C0 + C1 / (1 + IRR) + C2 / (1 + IRR)2 + C3 / (1 + IRR)30 = –¥8,000,000 + ¥4,000,000/(1 + IRR) + ¥3,000,000/(1 + IRR)2 + ¥2,000,000/(1 + IRR)3Using a spreadsheet, financial calculator, or trial and error to find the root of the equation, we find that: IRR = 6.93%Since the IRR is less than the required return we would reject the project.8.The IRR is the interest rate that makes the NPV of the project equal to zero. So, the equation that definesthe IRR for this Project A is:0 = C0 + C1 / (1 + IRR) + C2 / (1 + IRR)2 + C3 / (1 + IRR)30 = – £2,000 + £1,000/(1 + IRR) + £1,500/(1 + IRR)2 + £2,000/(1 + IRR)3Using a spreadsheet, financial calculator, or trial and error to find the root of the equation, we find that: IRR = 47.15%And the IRR for Project B is:0 = C0 + C1 / (1 + IRR) + C2 / (1 + IRR)2 + C3 / (1 + IRR)30 = – £1,500 + £500/(1 + IRR) + £1,000/(1 + IRR)2 + £1,500/(1 + IRR)3Using a spreadsheet, financial calculator, or trial and error to find the root of the equation, we find that: IRR = 36.19%9.The profitability index is defined as the PV of the cash inflows divided by the PV of the cashoutflows. The cash flows from this project are an annuity, so the equation for the profitability index is:PI = C(PVIFA R,t) / C0PI = €41,000(PVIFA15%,7) / €160,000PI = 1.066110. a.The profitability index is the present value of the future cash flows divided by the initial cost.So, for Project Alpha, the profitability index is:PI Alpha = [$300 / 1.10 + $700 / 1.102 + $600 / 1.103] / $500 = 2.604And for Project Beta the profitability index is:PI Beta = [$300 / 1.10 + $1,800 / 1.102 + $1,700 / 1.103] / $2,000 = 1.519b.According to the profitability index, you would accept Project Alpha. However, remember theprofitability index rule can lead to incorrect decision when ranking mutually exclusive projects.Intermediate11. a.To have a payback equal to the project’s life, given C is a constant cash flow for N years:C = I/Nb.To have a positive NPV, I < C (PVIFA R%, N). Thus, C > I / (PVIFA R%, N).c.Benefits = C (PVIFA R%, N) = 2 × costs = 2IC = 2I / (PVIFA R%, N)12. a.The IRR is the interest rate that makes the NPV of the project equal to zero. So, the equationthat defines the IRR for this project is:0 = C0 + C1 / (1 + IRR) + C2 / (1 + IRR)2 + C3 / (1 + IRR)3 + C4 / (1 + IRR)40 = ₩5,000 –₩2,500 / (1 + IRR) –₩2,000 / (1 + IRR)2–₩1,000 / (1 + IRR)3–₩1,000 / (1 +IRR)4Using a spreadsheet, financial calculator, or trial and error to find the root of the equation, we find that:IRR = 13.99%b.This problem differs from previous ones because the initial cash flow is positive and all futurecash flows are negative. In other words, this is a financing-type project, while previous projects were investing-type projects. For financing situations, accept the project when the IRR is less than the discount rate. Reject the project when the IRR is greater than the discount rate.IRR = 13.99%Discount Rate = 12%IRR > Discount RateReject the offer when the discount rate is less than the IRR.ing the same reason as part b., we would accept the project if the discount rate is 20 percent.IRR = 13.99%Discount Rate = 19%IRR < Discount RateAccept the offer when the discount rate is greater than the IRR.d.The NPV is the sum of the present value of all cash flows, so the NPV of the project if thediscount rate is 10 percent will be:NPV = ₩5,000 –₩2,500 / 1.12 –₩2,000 / 1.122–₩1,000 / 1.123–₩1,000 / 1.124NPV = –₩173.83When the discount rate is 12 percent, the NPV of the offer is –₩359.95. Reject the offer.And the NPV of the project is the discount rate is 19 percent will be:NPV = ₩5,000 –₩2,500 / 1.19 –₩2,000 / 1.192–₩1,000 / 1.193–₩1,000 / 1.194NPV = ₩394.75When the discount rate is 19 percent, the NPV of the offer is ₩466.82. Accept the offer.e.Yes, the decisions under the NPV rule are consistent with the choices made under the IRR rulesince the signs of the cash flows change only once.13. a.The IRR is the interest rate that makes the NPV of the project equal to zero. So, the IRR foreach project is:Deepwater Fishing IRR:0 = C0 + C1 / (1 + IRR) + C2 / (1 + IRR)2 + C3 / (1 + IRR)30 = –$600,000 + $270,000 / (1 + IRR) + $350,000 / (1 + IRR)2 + $300,000 / (1 + IRR)3Using a spreadsheet, financial calculator, or trial and error to find the root of the equation, we find that:IRR = 24.30%Submarine Ride IRR:0 = C0 + C1 / (1 + IRR) + C2 / (1 + IRR)2 + C3 / (1 + IRR)30 = –$1,800,000 + $1,000,000 / (1 + IRR) + $700,000 / (1 + IRR)2 + $900,000 / (1 + IRR)3Using a spreadsheet, financial calculator, or trial and error to find the root of the equation, we find that:IRR = 21.46%Based on the IRR rule, the deepwater fishing project should be chosen because it has the higher IRR.b.To calculate the incremental IRR, we s ubtract the smaller project’s cash flows from the largerproject’s cash flows. In this case, we subtract the deepwater fishing cash flows from the submarine ride cash flows. The incremental IRR is the IRR of these incremental cash flows. So, the incremental cash flows of the submarine ride are:Year 0Year 1Year 2 Year 3 Submarine Ride –$1,800,000 $1,000,000 $700,000 $900,000Deepwater Fishing –600,000 270,000 350,000 300,000Submarine – Fishing –$1,200,000 $730,000 $350,000 $600,000 Setting the present value of these incremental cash flows equal to zero, we find the incremental IRR is:0 = C0 + C1 / (1 + IRR) + C2 / (1 + IRR)2 + C3 / (1 + IRR)30 = –$1,200,000 + $730,000 / (1 + IRR) + $350,000 / (1 + IRR)2 + $600,000 / (1 + IRR)3Using a spreadsheet, financial calculator, or trial and error to find the root of the equation, we find that:Incremental IRR = 19.92%For investing-type projects, accept the larger project when the incremental IRR is greater than the discount rate. Since the incremental IRR, 19.92%, is greater than the required rate of return of 15 percent, choose the submarine ride project. Note that this is the choice when evaluating only the IRR of each project. The IRR decision rule is flawed because there is a scale problem.That is, the submarine ride has a greater initial investment than does the deepwater fishing project. This problem is corrected by calculating the IRR of the incremental cash flows, or by evaluating the NPV of each project.c.The NPV is the sum of the present value of the cash flows from the project, so the NPV of eachproject will be:Deepwater fishing:NPV = –$600,000 + $270,000 / 1.15 + $350,000 / 1.152 + $300,000 / 1.153NPV = $96,687.76Submarine ride:NPV = –$1,800,000 + $1,000,000 / 1.15 + $700,000 / 1.152 + $900,000 / 1.153NPV = $190,630.39Since the NPV of the submarine ride project is greater than the NPV of the deepwater fishingproject, choose the submarine ride project. The incremental IRR rule is always consistent withthe NPV rule.14. a.The profitability index is the PV of the future cash flows divided by the initial investment. Thecash flows for both projects are an annuity, so:PI I = 元15,000(PVIFA10%,3 ) / 元30,000 = 1.243PI II = 元2,800(PVIFA10%,3) / 元5,000 = 1.393The profitability index decision rule implies that we accept project II, since PI II is greater thanthe PI I.b.The NPV of each project is:NPV I = –元30,000 + 元15,000(PVIFA10%,3) = 元7,302.78NPV II = –元5,000 + 元2,800(PVIFA10%,3) = 元1,963.19The NPV decision rule implies accepting Project I, since the NPV I is greater than the NPV II.ing the profitability index to compare mutually exclusive projects can be ambiguous whenthe magnitudes of the cash flows for the two projects are of different scale. In this problem,project I is roughly 3 times as large as project II and produces a larger NPV, yet the profit-ability index criterion implies that project II is more acceptable.15. a.The equation for the NPV of the project is:NPV = –₦28,000,000 + ₦53,000,000/1.11 –₦8,000,000/1.112 = ₦13,254,768.28The NPV is greater than 0, so we would accept the project.b.The equation for the IRR of the project is:0 = –₦28,000,000 + ₦53,000,000/(1+IRR) –₦8,000,000/(1+IRR)2From Descartes rule of signs, we know there are two IRRs since the cash flows change signstwice. From trial and error, the two IRRs are:IRR = 72.75%, –83.46%。
公司理财罗斯课后习题答案
第一章1.在所有权形式的公司中,股东是公司的所有者。
股东选举公司的董事会,董事会任命该公司的管理层。
企业的所有权和控制权分离的组织形式是导致的代理关系存在的主要原因。
管理者可能追求自身或别人的利益最大化,而不是股东的利益最大化。
在这种环境下,他们可能因为目标不一致而存在代理问题。
2.非营利公司经常追求社会或政治任务等各种目标。
非营利公司财务管理的目标是获取并有效使用资金以最大限度地实现组织的社会使命。
3.这句话是不正确的。
管理者实施财务管理的目标就是最大化现有股票的每股价值,当前的股票价值反映了短期和长期的风险、时间以及未来现金流量。
4.有两种结论。
一种极端,在市场经济中所有的东西都被定价。
因此所有目标都有一个最优水平,包括避免不道德或非法的行为,股票价值最大化。
另一种极端,我们可以认为这是非经济现象,最好的处理方式是通过政治手段。
一个经典的思考问题给出了这种争论的答案:公司估计提高某种产品安全性的成本是30美元万。
然而,该公司认为提高产品的安全性只会节省20美元万。
请问公司应该怎么做呢”5.财务管理的目标都是相同的,但实现目标的最好方式可能是不同的,因为不同的国家有不同的社会、政治环境和经济制度。
6.管理层的目标是最大化股东现有股票的每股价值。
如果管理层认为能提高公司利润,使股价超过35美元,那么他们应该展开对恶意收购的斗争。
如果管理层认为该投标人或其它未知的投标人将支付超过每股35美元的价格收购公司,那么他们也应该展开斗争。
然而,如果管理层不能增加企业的价值,并且没有其他更高的投标价格,那么管理层不是在为股东的最大化权益行事。
现在的管理层经常在公司面临这些恶意收购的情况时迷失自己的方向。
7.其他国家的代理问题并不严重,主要取决于其他国家的私人投资者占比重较小。
较少的私人投资者能减少不同的企业目标。
高比重的机构所有权导致高学历的股东和管理层讨论决策风险项目。
此外,机构投资者比私人投资者可以根据自己的资源和经验更好地对管理层实施有效的监督机制。
(完整版)公司理财-罗斯课后习题答案
(完整版)公司理财-罗斯课后习题答案-CAL-FENGHAI-(2020YEAR-YICAI)_JINGBIAN第一章1.在所有权形式的公司中,股东是公司的所有者。
股东选举公司的董事会,董事会任命该公司的管理层。
企业的所有权和控制权分离的组织形式是导致的代理关系存在的主要原因。
管理者可能追求自身或别人的利益最大化,而不是股东的利益最大化。
在这种环境下,他们可能因为目标不一致而存在代理问题。
2.非营利公司经常追求社会或政治任务等各种目标。
非营利公司财务管理的目标是获取并有效使用资金以最大限度地实现组织的社会使命。
3.这句话是不正确的。
管理者实施财务管理的目标就是最大化现有股票的每股价值,当前的股票价值反映了短期和长期的风险、时间以及未来现金流量。
4.有两种结论。
一种极端,在市场经济中所有的东西都被定价。
因此所有目标都有一个最优水平,包括避免不道德或非法的行为,股票价值最大化。
另一种极端,我们可以认为这是非经济现象,最好的处理方式是通过政治手段。
一个经典的思考问题给出了这种争论的答案:公司估计提高某种产品安全性的成本是30美元万。
然而,该公司认为提高产品的安全性只会节省20美元万。
请问公司应该怎么做呢?”5.财务管理的目标都是相同的,但实现目标的最好方式可能是不同的,因为不同的国家有不同的社会、政治环境和经济制度。
6.管理层的目标是最大化股东现有股票的每股价值。
如果管理层认为能提高公司利润,使股价超过35美元,那么他们应该展开对恶意收购的斗争。
如果管理层认为该投标人或其它未知的投标人将支付超过每股35美元的价格收购公司,那么他们也应该展开斗争。
然而,如果管理层不能增加企业的价值,并且没有其他更高的投标价格,那么管理层不是在为股东的最大化权益行事。
现在的管理层经常在公司面临这些恶意收购的情况时迷失自己的方向。
7.其他国家的代理问题并不严重,主要取决于其他国家的私人投资者占比重较小。
较少的私人投资者能减少不同的企业目标。
公司理财罗斯课后习题答案
第一章1.在所有权形式的公司中,股东是公司的所有者。
股东选举公司的董事会,董事会任命该公司的管理层。
企业的所有权和控制权分离的组织形式是导致的代理关系存在的主要原因。
管理者可能追求自身或别人的利益最大化,而不是股东的利益最大化。
在这种环境下,他们可能因为目标不一致而存在代理问题。
2.非营利公司经常追求社会或政治任务等各种目标。
非营利公司财务管理的目标是获取并有效使用资金以最大限度地实现组织的社会使命。
3.这句话是不正确的。
管理者实施财务管理的目标就是最大化现有股票的每股价值,当前的股票价值反映了短期和长期的风险、时间以及未来现金流量。
4.有两种结论。
一种极端,在市场经济中所有的东西都被定价。
因此所有目标都有一个最优水平,包括避免不道德或非法的行为,股票价值最大化。
另一种极端,我们可以认为这是非经济现象,最好的处理方式是通过政治手段。
一个经典的思考问题给出了这种争论的答案:公司估计提高某种产品安全性的成本是30美元万。
然而,该公司认为提高产品的安全性只会节省20美元万。
请问公司应该怎么做呢”5.财务管理的目标都是相同的,但实现目标的最好方式可能是不同的,因为不同的国家有不同的社会、政治环境和经济制度。
6.管理层的目标是最大化股东现有股票的每股价值。
如果管理层认为能提高公司利润,使股价超过35美元,那么他们应该展开对恶意收购的斗争。
如果管理层认为该投标人或其它未知的投标人将支付超过每股35美元的价格收购公司,那么他们也应该展开斗争。
然而,如果管理层不能增加企业的价值,并且没有其他更高的投标价格,那么管理层不是在为股东的最大化权益行事。
现在的管理层经常在公司面临这些恶意收购的情况时迷失自己的方向。
7.其他国家的代理问题并不严重,主要取决于其他国家的私人投资者占比重较小。
较少的私人投资者能减少不同的企业目标。
高比重的机构所有权导致高学历的股东和管理层讨论决策风险项目。
此外,机构投资者比私人投资者可以根据自己的资源和经验更好地对管理层实施有效的监督机制。
罗斯公司理财试题库全集
Chapter 13 Risk, Cost of Capital, and Capital Budgeting Answer KeyMultiple Choice Questions1.The weighted average of the firm's costs of equity, preferred stock, and after tax debt is the:A.reward to risk ratio for the firm.B.expected capital gains yield for the stock.C.expected capital gains yield for the firm.D.portfolio beta for the firm.E.weighted average cost of capital (WACC).Difficulty level: EasyTopic: WACCType: DEFINITIONS2.If the CAPM is used to estimate the cost of equity capital, the expected excess market return is equal to the:A.return on the stock minus the risk-free rate.B.difference between the return on the market and the risk-free rate.C.beta times the market risk premium.D.beta times the risk-free rate.E.market rate of return.Difficulty level: EasyTopic: CAPMType: DEFINITIONS3.The best fit line of a pairwise plot of the returns of the security against the market index returns is called the:A.Security Market Line.B.Capital Market Line.C.characteristic line.D.risk line.E.None of the above.Difficulty level: MediumTopic: CHARACTERISTIC LINEType: DEFINITIONS4.The use of debt is called:A.operating leverage.B.production leverage.C.financial leverage.D.total asset turnover risk.E.business risk.Difficulty level: MediumTopic: USE OF DEBTType: DEFINITIONS5.The weighted average cost of capital for a firm is the:A.discount rate which the firm should apply to all of the projects it undertakes.B.overall rate which the firm must earn on its existing assets to maintain the value of its stock.C.rate the firm should expect to pay on its next bond issue.D.maximum rate which the firm should require on any projects it undertakes.E.rate of return that the firm's preferred stockholders should expect to earn over the long term.Difficulty level: MediumTopic: WEIGHTED AVERAGE COST OF CAPITALType: DEFINITIONS6.The WACC is used to _______ the expected cash flows when the firm has____________.A.discount; debt and equity in the capital structureB.discount; short term financing on the balance sheetC.increase; debt and equity in the capital structureD.decrease; short term financing on the balance sheetE.None of the above.Difficulty level: MediumTopic: WACCType: CONCEPTSing the CAPM to calculate the cost of capital for a risky project assumes that:ing the firm's beta is the same measure of risk as the project.B.the firm is all-equity financed.C.the financial risk is equal to business risk.D.Both A and B.E.Both A and C.Difficulty level: MediumTopic: CAPMType: CONCEPTS8.The use of WACC to select investments is acceptable when the:A.correlation of all new projects are equal.B.NPV is positive when discounted by the WACC.C.risk of the projects are equal to the risk of the firm.D.firm is well diversified and the unsystematic risk is negligible.E.None of the above.Difficulty level: EasyTopic: WACCType: CONCEPTS9.If the risk of an investment project is different than the firm's risk then:A.you must adjust the discount rate for the project based on the firm's risk.B.you must adjust the discount rate for the project based on the project risk.C.you must exercise risk aversion and use the market rate.D.an average rate across prior projects is acceptable because estimates contain errors.E.one must have the actual data to determine any differences in the calculations. Difficulty level: EasyTopic: DISCOUNT RATEType: CONCEPTS10.If the project beta and IRR coordinates plot above the SML the project should be:A.accepted.B.rejected.C.It is impossible to tell.D.It will depend on the NPV.E.None of the above.Difficulty level: MediumTopic: SECURITY MARKET LINEType: CONCEPTS11.The beta of a security provides an:A.estimate of the market risk premium.B.estimate of the slope of the Capital Market Line.C.estimate of the slope of the Security Market Line.D.estimate of the systematic risk of the security.E.None of the above.Difficulty level: EasyTopic: BETAType: CONCEPTS12.Regression analysis can be used to estimate:A.beta.B.the risk-free rate.C.standard deviation.D.variance.E.expected return.Difficulty level: EasyTopic: BETA ESTIMATIONType: CONCEPTS13.Beta measures depend highly on the:A.direction of the market variance.B.overall cycle of the market.C.variance of the market and asset, but not their co-movement.D.covariance of the security with the market and how they are correlated.E.All of the above.Difficulty level: MediumTopic: BETAType: CONCEPTS14.The formula for calculating beta is given by the dividing the ___________ of the stock with the market portfolio by the ___________ of the market portfolio.A.variance; covarianceB.covariance; varianceC.standard deviation; varianceD.expected return; varianceE.expected return; covarianceDifficulty level: MediumTopic: BETAType: CONCEPTS15.The slope of the characteristic line is the estimated:A.intercept.B.beta.C.unsystematic risk.D.market variance.E.market risk premium.Difficulty level: MediumTopic: BETA AND CHARACTERISTIC LINEType: CONCEPTSpanies that have highly cyclical sales will have a:A.low beta if sales are highly dependent on the market cycle.B.high beta if sales are highly dependent on the market cycle.C.high beta if sales are independent of the market cycle.D.All of the above.E.None of the above.Difficulty level: MediumTopic: CYCLICAL BUSINESS AND BETAType: CONCEPTS17.Betas may vary substantially across an industry. The decision to use the industry or firm beta to estimate the cost of capital depends on:A.how small the estimation errors are of all betas across industries.B.how similar the firm's operations are to the operations of all other firms in the industry.C.whether the company is a leader or follower.D.the size of the company's public float.E.None of the above.Difficulty level: MediumTopic: INDUSTRY OR FIRM BETAType: CONCEPTS18.Beta is useful in the calculation of the:pany's variance.pany's discount rate.pany's standard deviation.D.unsystematic risk.pany's market rate.Difficulty level: MediumTopic: BETAType: CONCEPTS19.For a multi-product firm, if a project's beta is different from that of the overall firm, then the:A.CAPM can no longer be used.B.project should be discounted using the overall firm's beta.C.project should be discounted at a rate commensurate with its own beta.D.project should be discounted at the market rate.E.project should be discounted at the T-bill rate.Difficulty level: MediumTopic: PROJECT AND FIRM BETAType: CONCEPTS20.The problem of using the overall firm's beta in discounting projects of different risk is the:A.firm would accept too many high-risk projects.B.firm would reject too many low risk projects.C.firm would reject too many high-risk projects.D.firm would accept too many low risk projects.E.Both A and B.Difficulty level: MediumTopic: FIRM'S BETAType: CONCEPTS21.The asset beta of a levered firm is generally:A.equal to the equity beta.B.different from the equity beta.C.different from the debt beta.D.the simple average of the equity beta and debt beta.E.Both B and C.Difficulty level: MediumTopic: ASSET BETAType: CONCEPTSparing two otherwise equal firms, the beta of the common stock of a levered firm is ____________ than the beta of the common stock of an unlevered firm.A.equal toB.significantly lessC.slightly lessD.greaterE.None of the above.Difficulty level: MediumTopic: LEVERED VS. UNLEVERED BETAType: CONCEPTS23.The beta of a firm is determined by which of the following firm characteristics?A.Cycles in revenuesB.Operating leverageC.Financial leverageD.All of the above.E.None of the above.Difficulty level: MediumTopic: DETERMINANTS OF BETAType: CONCEPTS24.The beta of a firm is more likely to be high under what two conditions?A.High cyclical business activity and low operating leverageB.High cyclical business activity and high operating leverageC.Low cyclical business activity and low financial leverageD.Low cyclical business activity and low operating leverageE.None of the above.Difficulty level: MediumTopic: FACTORS AFFECTING BETAType: CONCEPTS25.A firm with cyclical earnings is characterized by:A.revenue patterns that vary with the business cycle.B.high levels of debt in its capital structure.C.high fixed costs.D.high price per unit.E.low contribution margins.Difficulty level: MediumTopic: CYCLICAL EARNINGSType: CONCEPTS26.A firm with high operating leverage has:A.low fixed costs in its production process.B.high variable costs in its production process.C.high fixed costs in its production process.D.high price per unit.E.low price per unit.Difficulty level: MediumTopic: OPERATING LEVERAGEType: CONCEPTS27.If a firm has low fixed costs relative to all other firms in the same industry,a large change in sales volume (either up or down) would have:A.a smaller change in EBIT for the firm versus the other firms.B.no effect in any way on the firms as volume does not effect fixed costs.C.a decreasing effect on the cyclical nature of the business.D.a larger change in EBIT for the firm versus the other firms.E.None of the above.Difficulty level: MediumTopic: OPERATING LEVERAGEType: CONCEPTS28.A firm with high operating leverage is characterized by __________ while one with high financial leverage is characterized by __________.A.low fixed cost of production; low fixed financial costsB.high variable cost of production; high variable financial costsC.high fixed costs of production; high fixed financial costsD.low costs of production; high fixed financial costsE.high fixed costs of production; low variable financial costsDifficulty level: MediumTopic: OPERATING AND FINANCIAL LEVERAGEType: CONCEPTS29.Firms whose revenues are strongly cyclical and whose operating leverage is high are likely to have:A.low betas.B.high betas.C.zero betas.D.negative betas.E.None of the above.Difficulty level: MediumTopic: DETERMINANTS OF BETAType: CONCEPTS30.An industry is likely to have a low beta if the:A.stream of revenues is stable and less volatile than the market.B.economy is in a recession.C.market for its goods is unaffected by the market cycle.D.Both A and B.E.Both A and C.Difficulty level: MediumTopic: DETERMINANTS OF BETAType: CONCEPTS31.For the levered firm the equity beta is __________ the asset beta.A.greater thanB.less thanC.equal toD.sometimes greater than and sometimes less thanE.None of the above.Difficulty level: MediumTopic: ASSET AND EQUITY BETASType: CONCEPTS32.All else equal, a more liquid stock will have a lower ________.A.betaB.market premiumC.cost of capitalD.Both A and B.E.Both A and C.Difficulty level: ChallengeTopic: LIQUIDITYType: CONCEPTS33.Two stock market based costs of liquidity that affects the cost of capital are the:A.bid-ask spread and the specialist spread.B.market impact cost and the brokerage costs.C.investor opportunity cost and the brokerage costs.D.bid-ask spread and the market impact costs.E.None of the above.Difficulty level: MediumTopic: LIQUIDITYType: CONCEPTS34.When a specialist is caught in the middle of a trade between informed and uniformed traders, which effectively eliminates the spread or causes a loss, is subject to:A.market impact costs.B.adverse selection.C.broker's quotation bias.D.increasing the number of uninformed traders.E.None of the above.Difficulty level: ChallengeTopic: ADVERSE SELECTIONType: CONCEPTS35.All else equal, new shareholders will ____ the capital gains of existing shareholders.A.diluteB.hold constantC.increaseD.All of the aboveE.It is impossible to tell.Difficulty level: MediumTopic: CAPITAL GAINSType: CONCEPTS36.The following are methods to estimate the market risk premium:e historical data to estimate future risk premium.e the dividend discount model to estimate risk premium.e the bond valuation model to estimate growth in bond prices with different costs of capital.D.A and B.E.A and C.Difficulty level: MediumTopic: MARKET RISK PREMIUMType: CONCEPTS37.Beta is the slope of the:A.efficient frontier.B.market portfolio.C.security market line.D.characteristic line.E.None of the above.Difficulty level: MediumTopic: BETAType: CONCEPTS38.Two stocks that have the same beta ____ have the same correlation because _______:A.may; because correlation measures the sensitivity of the S&P to the market portfolio.B.will; because correlation measures the tightness of fit around the regression line.C.may not; because correlation measures the tightness of fit around the regression line.D.may not; because correlation measures the sensitivity to change.E.None of the above.Difficulty level: MediumTopic: BETA AND CORRELATIONType: CONCEPTS39.When using the cost of debt, the relevant number is the:A.pre-tax cost of debt since most corporations pay taxes at the same tax rate.B.pre-tax cost of debt since it is the actual rate the firm is paying bondholders.C.post-tax cost of debt since dividends are tax deductible.D.post-tax cost of debt since interest is tax deductible.E.None of the above.Difficulty level: MediumTopic: COST OF DEBTType: CONCEPTS40.Jack's Construction Co. has 80,000 bonds outstanding that are selling at par value. Bonds with similar characteristics are yielding 8.5%. The company also has 4 million shares of common stock outstanding. The stock has a beta of 1.1 and sells for $40 a share. The U.S. Treasury bill is yielding 4% and the market risk premium is 8%. Jack's tax rate is 35%. What is Jack's weighted average cost of capital?A.7.10%B.7.39%C.10.38%D.10.65%E.11.37%= .04 + (1.1 ⨯ .08) = .128ReDebt: 80,000 ⨯ $1,000 = $80mCommon: 4m ⨯ $40 = $160mTotal = $80m + $160m = $240mDifficulty level: MediumTopic: WEIGHTED AVERAGE COST OF CAPITALType: PROBLEMS41.Peter's Audio Shop has a cost of debt of 7%, a cost of equity of 11%, anda cost of preferred stock of 8%. The firm has 104,000 shares of common stock outstanding at a market price of $20 a share. There are 40,000 shares of preferred stock outstanding at a market price of $34 a share. The bond issue has a total face value of $500,000 and sells at 102% of face value. The tax rate is 34%. What is the weighted average cost of capital for Peter's Audio Shop?A.6.14%B.6.54%C.8.60%D.9.14%E.9.45%Debt: $500,000 ⨯ 1.02 = $.51mPreferred: 40,000 ⨯ $34 = $1.36mCommon: 104,000 ⨯ $20 = $2.08mTotal = $.51m + $1.36m + $2.08m = $3.95mDifficulty level: MediumTopic: WEIGHTED AVERAGE COST OF CAPITALType: PROBLEMS42.Phil's Carvings, Inc. wants to have a weighted average cost of capital of 9%. The firm has an after-tax cost of debt of 5% and a cost of equity of 11%. What debt-equity ratio is needed for the firm to achieve its targeted weighted average cost of capital?A..33B..40C..50D..60E..67.09 = [We ⨯.11] + [(1 - We) ⨯.05) = .11We+ .05 - .05We; .04 = .06We; We= 66.67%;W d = 1 - We= 100% - 66.67% = 33.33%; Debt - equity ratio = 33.33% ÷ 66.67% = .50Difficulty level: MediumTopic: WEIGHTED AVERAGE COST OF CAPITAL Type: PROBLEMS43.Jake's Sound Systems has 210,000 shares of common stock outstanding at a market price of $36 a share. Last month, Jake's paid an annual dividend in the amount of $1.593 per share. The dividend growth rate is 4%. Jake's also has 6,000 bonds outstanding with a face value of $1,000 per bond. The bonds carry a 7% coupon, pay interest annually, and mature in 4.89 years. The bonds are selling at 99% of face value. The company's tax rate is 34%. What is Jake's weighted average cost of capital?A.5.3%B.5.8%C.6.3%D.6.9%E.7.2%Debt: 6,000 ⨯ $1,000 ⨯ .99 = $5.94mCommon: 210,000 ⨯ $36 = $7.56mTotal = $5.94m + $7.56m = $13.50m= [($1.593 ⨯ 1.04) ÷ $36] + .04 = .08602ReDifficulty level: MediumTopic: WEIGHTED AVERAGE COST OF CAPITALType: PROBLEMS44.The Consolidated Transfer Co. is an all-equity financed firm. The beta is .75, the market risk premium is 8% and the risk-free rate is 4%. What is the expected return of Consolidated?A.7%B.8%C.9%D.10%E.13%.04 + 0.75(.08) = .10 = 10%Difficulty level: EasyTopic: CAPMType: PROBLEMS45.Assuming the CAPM or one-factor model holds, what is the cost of equity fora firm if the firm's equity has a beta of 1.2, the risk-free rate of return is 2%, the expected return on the market is 9%, and the return to the company's debt is 7%?A.10.4%B.10.8%C.12.8%D.14.4%E.None of the above.Rs = Rf + β(Rm - Rf) = .02 + 1.2(.09 - .02) = .104 = 10.4%Difficulty level: MediumTopic: CAPMType: PROBLEMS46.The cost of equity for Ryan Corporation is 8.4%. If the expected return on the market is 10% and the risk-free rate is 5%, then the equity beta is ___.A.0.48B.0.68C.1.25D.1.68E.Impossible to calculate with information given.Rs = Rf + β (Rm - Rf); .084 = .05 + β (.10 - .05); β = .68Difficulty level: MediumTopic: EQUITY BETAType: PROBLEMS47.Suppose that the Simmons Corporation's common stock has a beta of 1.6. If the risk-free rate is 5% and the market risk premium is 4%, the expected return on Simmons' common stock is:A.4.0%.B.5.0%.C.5.6%.D.10.6%.E.11.4%.Rs = Rf + β(Rm - Rf) = .05 + 1.6(.04) = .114 = 11.4%Difficulty level: EasyTopic: CAPMType: PROBLEMS48.Suppose the Barges Corporation's common stock has an expected return of 12%. Assume that the risk-free rate is 5%, and the market risk premium is 6%. If no unsystematic influence affected Barges' return, the beta for Barges is ______.A.1.00B.1.17C.1.20D.2.50E.It is impossible to calculate with the information given.Rs = Rf + β(Rm - Rf); .12 = .05 + β(.06); β = .07/.06 = 1.17Difficulty level: MediumTopic: CALCULATING BETAType: PROBLEMS49.Slippery Slope Roof Contracting has an equity beta of 1.2, capital structure with 2/3 debt, and a zero tax rate. What is its asset beta?A.0.40B.0.72C.1.20D.1.80E.None of the aboveβA = (E/(D + E.) βE = (1/3)(1.2) = .40Difficulty level: MediumTopic: ASSET BETAType: PROBLEMS50.The Template Corporation has an equity beta of 1.2 and a debt beta of .8. The firm's market value debt to equity ratio is .6. Template has a zero tax rate. What is the asset beta?A.0.70B.0.72C.0.96D.1.04E.1.05.8(.6/1.6) + 1.2(1/1.6) = 1.05Difficulty level: MediumTopic: ASSET BETAType: PROBLEMS51.The NuPress Valet Co. has an improved version of its hotel stand. The investment cost is expected to be $72 million and will return $13.5 million for 5 years in net cash flows. The ratio of debt to equity is 1 to 1. The cost of equity is 13%, the cost of debt is 9%, and the tax rate is 34%. The appropriate discount rate, assuming average risk, is:A.8.65%B.9%C.9.47%D.10.5%E.13%WACC = .09(1 - .34)(.5) + .13(.5) = .0297 + .065 = .0947 = 9.47%Difficulty level: EasyTopic: WACCType: PROBLEMSEssay Questions。
《公司理财》课后答案(英文版,第六版).doc
Chapter 2: Accounting Statements and Cash Flow2.10AssetsCurrent assetsCash $ 4,000Accounts receivable 8,000Total current assets $ 12,000Fixed assetsMachinery $ 34,000Patents 82,000Total fixed assets $116,000Total assets $128,000Liabilities and equityCurrent liabilitiesAccounts payable $ 6,000Taxes payable 2,000Total current liabilities $ 8,000Long-term liabilitiesBonds payable $7,000Stockholders equityCommon stock ($100 par) $ 88,000Capital surplus 19,000Retained earnings 6,000Total stockholders equity $113,000Total liabilities and equity $128,0002.11One year ago TodayLong-term debt $50,000,000 $50,000,000Preferred stock 30,000,000 30,000,000Common stock 100,000,000 110,000,000Retained earnings 20,000,000 22,000,000Total $200,000,000 $212,000,0002.12Total Cash Flow ofthe Stancil CompanyCash flows from the firmCapital spending $(1,000)Additions to working capital (4,000)Total $(5,000)Cash flows to investors of the firmShort-term debt $(6,000)Long-term debt (20,000)Equity (Dividend - Financing) 21,000Total $(5,000)[Note: This table isn’t the Statement of Cash Flows, which is only covered in Appendix 2B, since the latter has th e change in cash (on the balance sheet) as a final entry.]2.13 a. The changes in net working capital can be computed from:Sources of net working capitalNet income $100Depreciation 50Increases in long-term debt 75Total sources $225Uses of net working capitalDividends $50Increases in fixed assets* 150Total uses $200Additions to net working capital $25*Includes $50 of depreciation.b.Cash flow from the firmOperating cash flow $150Capital spending (150)Additions to net working capital (25)Total $(25)Cash flow to the investorsDebt $(75)Equity 50Total $(25)Chapter 3: Financial Markets and Net Present Value: First Principles of Finance (Advanced)3.14 $120,000 - ($150,000 - $100,000) (1.1) = $65,0003.15 $40,000 + ($50,000 - $20,000) (1.12) = $73,6003.16 a. ($7 million + $3 million) (1.10) = $11.0 millionb.i. They could spend $10 million by borrowing $5 million today.ii. They will have to spend $5.5 million [= $11 million - ($5 million x 1.1)] at t=1.Chapter 4: Net Present Valuea. $1,000 ⨯ 1.0510 = $1,628.89b. $1,000 ⨯ 1.0710 = $1,967.15c. $1,000 ⨯ 1.0520 = $2,653.30d. Interest compounds on the interest already earned. Therefore, the interest earned inSince this bond has no interim coupon payments, its present value is simply the present value of the $1,000 that will be received in 25 years. Note: As will be discussed in the next chapter, the present value of the payments associated with a bond is the price of that bond.PV = $1,000 /1.125 = $92.30PV = $1,500,000 / 1.0827 = $187,780.23a. At a discount rate of zero, the future value and present value are always the same. Remember, FV =PV (1 + r) t. If r = 0, then the formula reduces to FV = PV. Therefore, the values of the options are $10,000 and $20,000, respectively. You should choose the second option.b. Option one: $10,000 / 1.1 = $9,090.91Option two: $20,000 / 1.15 = $12,418.43Choose the second option.c. Option one: $10,000 / 1.2 = $8,333.33Option two: $20,000 / 1.25 = $8,037.55Choose the first option.d. You are indifferent at the rate that equates the PVs of the two alternatives. You know that rate mustfall between 10% and 20% because the option you would choose differs at these rates. Let r be thediscount rate that makes you indifferent between the options.$10,000 / (1 + r) = $20,000 / (1 + r)5(1 + r)4 = $20,000 / $10,000 = 21 + r = 1.18921r = 0.18921 = 18.921%The $1,000 that you place in the account at the end of the first year will earn interest for six years. The $1,000 that you place in the account at the end of the second year will earn interest for five years, etc. Thus, the account will have a balance of$1,000 (1.12)6 + $1,000 (1.12)5 + $1,000 (1.12)4 + $1,000 (1.12)3= $6,714.61PV = $5,000,000 / 1.1210 = $1,609,866.18a. $1.000 (1.08)3 = $1,259.71b. $1,000 [1 + (0.08 / 2)]2 ⨯ 3 = $1,000 (1.04)6 = $1,265.32c. $1,000 [1 + (0.08 / 12)]12 ⨯ 3 = $1,000 (1.00667)36 = $1,270.24d. $1,000 e0.08 ⨯ 3 = $1,271.25e. The future value increases because of the compounding. The account is earning interest on interest. Essentially, the interest is added to the account balance at the e nd of every compounding period. During the next period, the account earns interest on the new balance. When the compounding period shortens, the balance that earns interest is rising faster.The price of the consol bond is the present value of the coupon payments. Apply the perpetuity formula to find the present value. PV = $120 / 0.15 = $800a. $1,000 / 0.1 = $10,000b. $500 / 0.1 = $5,000 is the value one year from now of the perpetual stream. Thus, the value of theperpetuity is $5,000 / 1.1 = $4,545.45.c. $2,420 / 0.1 = $24,200 is the value two years from now of the perpetual stream. Thus, the value of the perpetuity is $24,200 / 1.12 = $20,000.pply the NPV technique. Since the inflows are an annuity you can use the present value of an annuity factor.ANPV = -$6,200 + $1,200 81.0= -$6,200 + $1,200 (5.3349)= $201.88Yes, you should buy the asset.Use an annuity factor to compute the value two years from today of the twenty payments. Remember, the annuity formula gives you the value of the stream one year before the first payment. Hence, the annuity factor will give you the value at the end of year two of the stream of payments.A= $2,000 (9.8181)Value at the end of year two = $2,000 20.008= $19,636.20The present value is simply that amount discounted back two years.PV = $19,636.20 / 1.082 = $16,834.88The easiest way to do this problem is to use the annuity factor. The annuity factor must be equal to $12,800 / $2,000 = 6.4; remember PV =C A T r. The annuity factors are in the appendix to the text. To use the factor table to solve this problem, scan across the row labeled 10 years until you find 6.4. It is close to the factor for 9%, 6.4177. Thus, the rate you will receive on this note is slightly more than 9%.You can find a more precise answer by interpolating between nine and ten percent.[ 10% ⎤[6.1446 ⎤a ⎡r ⎥bc ⎡6.4 ⎪ d⎣9%⎦⎣6.4177 ⎦By interpolating, you are presuming that the ratio of a to b is equal to the ratio of c to d.(9 - r ) / (9 - 10) = (6.4177 - 6.4 ) / (6.4177 - 6.1446)r = 9.0648%The exact value could be obtained by solving the annuity formula for the interest rate. Sophisticated calculators can compute the rate directly as 9.0626%.[Note: A standard financial calculator’s TVM keys can solve for this rate. With annuity flows, the IRR key on “advanced” financial c alculators is unnecessary.]a. The annuity amount can be computed by first calculating the PV of the $25,000 which youThat amount is $17,824.65 [= $25,000 / 1.075]. Next compute the annuity which has the same present value.A$17,824.65 = C 507.0$17,824.65 = C (4.1002)C = $4,347.26Thus, putting $4,347.26 into the 7% account each year will provide $25,000 five years from today.b. The lump sum payment must be the present value of the $25,000, i.e., $25,000 / 1.075 =$17,824.65The formula for future value of any annuity can be used to solve the problem (see footnote 11 of the text).Option one: This cash flow is an annuity due. To value it, you must use the after-tax amounts. Theafter-tax payment is $160,000 (1 - 0.28) = $115,200. Value all except the first payment using the standard annuity formula, then add back the first payment of $115,200 to obtain the value of this option.AValue = $115,200 + $115,200 30.010= $115,200 + $115,200 (9.4269)= $1,201,178.88Option two: This option is valued similarly. You are able to have $446,000 now; this is already on an after-tax basis. You will receive an annuity of $101,055 for each of the next thirty years. Those payments are taxable when you receive them, so your after-tax payment is $72,759.60 [= $101,055 (1 - 0.28)].AValue = $446,000 + $72,759.60 30.010= $446,000 + $72,759.60 (9.4269)= $1,131,897.47Since option one has a higher PV, you should choose it.et r be the rate of interest you must earn.$10,000(1 + r)12 = $80,000(1 + r)12= 8r = 0.18921 = 18.921%First compute the present value of all the payments you must make for your children’s educati on. The value as of one year before matriculation of one child’s education isA= $21,000 (2.8550) = $59,955.$21,000 415.0This is the value of the elder child’s education fourteen years from now. It is the value of the younger child’s education sixteen years from today. The present value of these isPV = $59,955 / 1.1514 + $59,955 / 1.1516= $14,880.44You want to make fifteen equal payments into an account that yields 15% so that the present value of the equal payments is $14,880.44.A= $14,880.44 / 5.8474 = $2,544.80Payment = $14,880.44 / 15.015This problem applies the growing annuity formula. The first payment is$50,000(1.04)2(0.02) = $1,081.60.PV = $1,081.60 [1 / (0.08 - 0.04) - {1 / (0.08 - 0.04)}{1.04 / 1.08}40]= $21,064.28This is the present value of the payments, so the value forty years from today is$21,064.28 (1.0840) = $457,611.46se the discount factors to discount the individual cash flows. Then compute the NPV of the project. NoticeYou can still use the factor tables to compute their PV. Essentially, they form cash flows that are a six year annuity less a two year annuity. Thus, the appropriate annuity factor to use with them is 2.6198 (= 4.3553 - 1.7355).Year Cash Flow Factor PV0.9091 $636.371$70020.8264 743.769003 1,000 ⎤4 1,000 ⎥ 2.6198 2,619.805 1,000 ⎥6 1,000 ⎦7 1,250 0.5132 641.508 1,375 0.4665 641.44Total $5,282.87NPV = -$5,000 + $5,282.87= $282.87Purchase the machine.Chapter 5: How to Value Bonds and StocksThe amount of the semi-annual interest payment is $40 (=$1,000 ⨯ 0.08 / 2). There are a total of 40 periods;i.e., two half years in each of the twenty years in the term to maturity. The annuity factor tables can be usedto price these bonds. The appropriate discount rate to use is the semi-annual rate. That rate is simply the annual rate divided by two. Thus, for part b the rate to be used is 5% and for part c is it 3%.A+F/(1+r)40PV=C Tra. $40 (19.7928) + $1,000 / 1.0440 = $1,000Notice that whenever the coupon rate and the market rate are the same, the bond is priced at par.b. $40 (17.1591) + $1,000 / 1.0540 = $828.41Notice that whenever the coupon rate is below the market rate, the bond is priced below par.c. $40 (23.1148) + $1,000 / 1.0340 = $1,231.15Notice that whenever the coupon rate is above the market rate, the bond is priced above par.a. The semi-annual interest rate is $60 / $1,000 = 0.06. Thus, the effective annual rate is 1.062 - 1 =0.1236 = 12.36%.A+ $1,000 / 1.0612b. Price = $30 12.006= $748.48A+ $1,000 / 1.0412c. Price = $30 1204.0= $906.15Note: In parts b and c we are implicitly assuming that the yield curve is flat. That is, the yield in year 5applies for year 6 as well.rice = $2 (0.72) / 1.15 + $4 (0.72) / 1.152 + $50 / 1.153= $36.31The number of shares you own = $100,000 / $36.31 = 2,754 sharesPrice = $1.15 (1.18) / 1.12 + $1.15 (1.182) / 1.122 + $1.152 (1.182) / 1.123+ {$1.152 (1.182)(1.06) / (0.12 - 0.06)} / 1.123= $26.95[Insert before last sentence of question: Assume that dividends are a fixed proportion of earnings.] Dividend one year from now = $5 (1 - 0.10) = $4.50Price = $5 + $4.50 / {0.14 - (-0.10)}= $23.75Since the current $5 dividend has not yet been paid, it is still included in the stock price.Chapter 6: Some Alternative Investment Rulesa. Payback period of Project A = 1 + ($7,500 - $4,000) / $3,500 = 2 yearsPayback period of Project B = 2 + ($5,000 - $2,500 -$1,200) / $3,000 = 2.43 yearsProject A should be chosen.b. NPV A = -$7,500 + $4,000 / 1.15 + $3,500 / 1.152 + $1,500 / 1.153 = -$388.96NPV B = -$5,000 + $2,500 / 1.15 + $1,200 / 1.152 + $3,000 / 1.153 = $53.83Project B should be chosen.a. Average Investment:($16,000 + $12,000 + $8,000 + $4,000 + 0) / 5 = $8,000Average accounting return:$4,500 / $8,000 = 0.5625 = 56.25%b. 1. AAR does not consider the timing of the cash flows, hence it does not consider the timevalue of money.2. AAR uses an arbitrary firm standard as the decision rule.3. AAR uses accounting data rather than net cash flows.aAverage Investment = (8000 + 4000 + 1500 + 0)/4 = 3375.00Average Net Income = 2000(1-0.75) = 1500=> AAR = 1500/3375=44.44%a. Solve x by trial and error:-$8,000 + $4,000 / (1 + x) + $3000 / (1 + x)2 + $2,000 / (1 + x)3 = 0x = 6.93%b. No, since the IRR (6.93%) is less than the discount rate of 8%.Alternatively, the NPV @ a discount rate of 0.08 = -$136.62.a. Solve r in the equation:$5,000 - $2,500 / (1 + r) - $2,000 / (1 + r)2 - $1,000 / (1 + r)3- $1,000 / (1 + r)4 = 0By trial and error,IRR = r = 13.99%b. Since this problem is the case of financing, accept the project if the IRR is less than the required rate of return.IRR = 13.99% > 10%Reject the offer.c. IRR = 13.99% < 20%Accept the offer.d. When r = 10%:NPV = $5,000 - $2,500 / 1.1 - $2,000 / 1.12 - $1,000 / 1.13 - $1,000 / 1.14When r = 20%:NPV = $5,000 - $2,500 / 1.2 - $2,000 / 1.22 - $1,000 / 1.23 - $1,000 / 1.24= $466.82Yes, they are consistent with the choices of the IRR rule since the signs of the cash flows change only once.A/ $160,000 = 1.04PI = $40,000 715.0Since the PI exceeds one accept the project.Chapter 7: Net Present Value and Capital BudgetingSince there is uncertainty surrounding the bonus payments, which McRae might receive, you must use the expected value of McRae’s bonuses in the computation of the PV of his contract. McRae’s salary plus the expected value of his bonuses in years one through three is$250,000 + 0.6 ⨯ $75,000 + 0.4 ⨯ $0 = $295,000.Thus the total PV of his three-year contract isPV = $400,000 + $295,000 [(1 - 1 / 1.12363) / 0.1236]+ {$125,000 / 1.12363} [(1 - 1 / 1.123610 / 0.1236]= $1,594,825.68EPS = $800,000 / 200,000 = $4NPVGO = (-$400,000 + $1,000,000) / 200,000 = $3Price = EPS / r + NPVGO= $4 / 0.12 + $3=$36.33Year 0 Year 1 Year 2 Year 3 Year 4 Year 51. Annual Salary$120,000 $120,000 $120,000 $120,000 $120,000 Savings2. Depreciation 100,000 160,000 96,000 57,600 57,6003. Taxable Income 20,000 -40,000 24,000 62,400 62,4004. Taxes 6,800 -13,600 8,160 21,216 21,2165. Operating Cash Flow113,200 133,600 111,840 98,784 98,784 (line 1-4)$100,000 -100,0006. ∆ Net workingcapital7. Investment $500,000 75,792*8. Total Cash Flow -$400,000 $113,200 $133,600 $111,840 $98,784 $74,576*75,792 = $100,000 - 0.34 ($100,000 - $28,800)NPV = -$400,000+ $113,200 / 1.12 + $133,600 / 1.122 + $111,840 / 1.123+ $98,784 / 1.124 + $74,576 / 1.125= -$7,722.52Real interest rate = (1.15 / 1.04) - 1 = 10.58%NPV A = -$40,000+ $20,000 / 1.1058 + $15,000 / 1.10582 + $15,000 / 1.10583= $1,446.76NPV B = -$50,000+ $10,000 / 1.15 + $20,000 / 1.152 + $40,000 / 1.153= $119.17Choose project A.PV = $120,000 / {0.11 - (-0.06)}t = 0 t = 1 t = 2 t = 3 t = 4 t = 5 t = 6 ...$12,000 $6,000 $6,000 $6,000$4,000$12,000 $6,000 $6,000 ...The present value of one cycle is:A+ $4,000 / 1.064PV = $12,000 + $6,000 306.0= $12,000 + $6,000 (2.6730) + $4,000 / 1.064= $31,206.37The cycle is four years long, so use a four year annuity factor to compute the equivalent annual cost (EAC).AEAC = $31,206.37 / 406.0= $31,206.37 / 3.4651= $9,006The present value of such a stream in perpetuity is$9,006 / 0.06 = $150,100o evaluate the word processors, compute their equivalent annual costs (EAC).BangAPV(costs) = (10 ⨯ $8,000) + (10 ⨯ $2,000) 414.0= $80,000 + $20,000 (2.9137)= $138,274EAC = $138,274 / 2.9137= $47,456IOUAPV(costs) = (11 ⨯ $5,000) + (11 ⨯ $2,500) 3.014- (11 ⨯ $500) / 1.143= $55,000 + $27,500 (2.3216) - $5,500 / 1.143= $115,132EAC = $115,132 / 2.3216= $49,592BYO should purchase the Bang word processors.Chapter 8: Strategy and Analysis in Using Net Present ValueThe accounting break-even= (120,000 + 20,000) / (1,500 - 1,100)= 350 units. The accounting break-even= 340,000 / (2.00 - 0.72)= 265,625 abalonesb. [($2.00 ⨯ 300,000) - (340,000 + 0.72 ⨯ 300,000)] (0.65)= $28,600This is the after tax profit.Chapter 9: Capital Market Theory: An Overviewa. Capital gains = $38 - $37 = $1 per shareb. Total dollar returns = Dividends + Capital Gains = $1,000 + ($1*500) = $1,500 On a per share basis, this calculation is $2 + $1 = $3 per sharec. On a per share basis, $3/$37 = 0.0811 = 8.11% On a total dollar basis, $1,500/(500*$37) = 0.0811 = 8.11%d. No, you do not need to sell the shares to include the capital gains in the computation of the returns. The capital gain is included whether or not you realize the gain. Since you could realize the gain if you choose, you should include it.The expected holding period return is:()[]%865.1515865.052$/52$75.54$50.5$==-+There appears to be a lack of clarity about the meaning of holding period returns. The method used in the answer to this question is the one used in Section 9.1. However, the correspondence is not exact, because in this question, unlike Section 9.1, there are cash flows within the holding period. The answer above ignores the dividend paid in the first year. Although the answer above technically conforms to the eqn at the bottom of Fig. 9.2, the presence of intermediate cash flows that aren’t accounted for renders th is measure questionable, at best. There is no similar example in the body of the text, and I have never seen holding period returns calculated in this way before.Although not discussed in this book, there are two generally accepted methods of computing holding period returns in the presence of intermediate cash flows. First, the time weighted return calculates averages (geometric or arithmetic) of returns between cash flows. Unfortunately, that method can’t be used here, because we are not given the va lue of the stock at the end of year one. Second, the dollar weighted measure calculates the internal rate of return over the entire holding period. Theoretically, that method can be applied here, as follows: 0 = -52 + 5.50/(1+r) + 60.25/(1+r)2 => r = 0.1306.This produces a two year holding period return of (1.1306)2 – 1 = 0.2782. Unfortunately, this book does not teach the dollar weighted method.In order to salvage this question in a financially meaningful way, you would need the value of the stock at the end of one year. Then an illustration of the correct use of the time-weighted return would be appropriate. A complicating factor is that, while Section 9.2 illustrates the holding period return using the geometric return for historical data, the arithmetic return is more appropriate for expected future returns.E(R) = T-Bill rate + Average Excess Return = 6.2% + (13.0% -3.8%) = 15.4%. Common Treasury Realized Stocks Bills Risk Premium -7 32.4% 11.2% 21.2%-6 -4.9 14.7 -19.6-5 21.4 10.5 10.9 -4 22.5 8.8 13.7 -3 6.3 9.9 -3.6 -2 32.2 7.7 24.5 Last 18.5 6.2 12.3 b. The average risk premium is 8.49%.49.873.125.246.37.139.106.192.21=++-++- c. Yes, it is possible for the observed risk premium to be negative. This can happen in any single year. The.b.Standard deviation = 03311.0001096.0=.b.Standard deviation = = 0.03137 = 3.137%.b.Chapter 10: Return and Risk: The Capital-Asset-Pricing Model (CAPM)a. = 0.1 (– 4.5%) + 0.2 (4.4%) + 0.5 (12.0%) + 0.2 (20.7%) = 10.57%b.σ2 = 0.1 (–0.045 – 0.1057)2 + 0.2 (0.044 – 0.1057)2 + 0.5 (0.12 – 0.1057)2+ 0.2 (0.207 – 0.1057)2 = 0.0052σ = (0.0052)1/2 = 0.072 = 7.20%Holdings of Atlas stock = 120 ⨯ $50 = $6,000 ⨯ $20 = $3,000Weight of Atlas stock = $6,000 / $9,000 = 2 / 3Weight of Babcock stock = $3,000 / $9,000 = 1 / 3a. = 0.3 (0.12) + 0.7 (0.18) = 0.162 = 16.2%σP 2= 0.32 (0.09)2 + 0.72 (0.25)2 + 2 (0.3) (0.7) (0.09) (0.25) (0.2)= 0.033244σP= (0.033244)1/2 = 0.1823 = 18.23%a.State Return on A Return on B Probability1 15% 35% 0.4 ⨯ 0.5 = 0.22 15% -5% 0.4 ⨯ 0.5 = 0.23 10% 35% 0.6 ⨯ 0.5 = 0.34 10% -5% 0.6 ⨯ 0.5 = 0.3b. = 0.2 [0.5 (0.15) + 0.5 (0.35)] + 0.2[0.5 (0.15) + 0.5 (-0.05)]+ 0.3 [0.5 (0.10) + 0.5 (0.35)] + 0.3 [0.5 (0.10) + 0.5 (-0.05)]= 0.135= 13.5%Note: The solution to this problem requires calculus.Specifically, the solution is found by minimizing a function subject to a constraint. Calculus ability is not necessary to understand the principles behind a minimum variance portfolio.Min { X A2 σA2 + X B2σB2+ 2 X A X B Cov(R A , R B)}subject to X A + X B = 1Let X A = 1 - X B. Then,Min {(1 - X B)2σA2 + X B2σB2+ 2(1 - X B) X B Cov (R A, R B)}Take a derivative with respect to X B.d{∙} / dX B = (2 X B - 2) σA2+ 2 X B σB2 + 2 Cov(R A, R B) - 4 X B Cov(R A, R B)Set the derivative equal to zero, cancel the common 2 and solve for X B.X BσA2- σA2+ X B σB2 + Cov(R A, R B) - 2 X B Cov(R A, R B) = 0X B = {σA2 - Cov(R A, R B)} / {σA2+ σB2 - 2 Cov(R A, R B)}andX A = {σB2 - Cov(R A, R B)} / {σA2+ σB2 - 2 Cov(R A, R B)}Using the data from the problem yields,X A = 0.8125 andX B = 0.1875.a. Using the weights calculated above, the expected return on the minimum variance portfolio isE(R P) = 0.8125 E(R A) + 0.1875 E(R B)= 0.8125 (5%) + 0.1875 (10%)= 5.9375%b. Using the formula derived above, the weights areX A = 2 / 3 andX B = 1 / 3c. The variance of this portfolio is zero.σP 2= X A2 σA2 + X B2σB2+ 2 X A X B Cov(R A , R B)= (4 / 9) (0.01) + (1 / 9) (0.04) + 2 (2 / 3) (1 / 3) (-0.02)= 0This demonstrates that assets can be combined to form a risk-free portfolio.14.2%= 3.7%+β(7.5%) ⇒β = 1.40.25 = R f + 1.4 [R M– R f] (I)0.14 = R f + 0.7 [R M– R f] (II)(I) – (II)=0.11 = 0.7 [R M– R f] (III)[R M– R f ]= 0.1571Put (III) into (I) 0.25 = R f + 1.4[0.1571]R f = 3%[R M– R f ]= 0.1571R M = 0.1571 + 0.03= 18.71%a. = 4.9% + βi (9.4%)βD= Cov(R D, R M) / σM 2 = 0.0635 / 0.04326 = 1.468= 4.9 + 1.468 (9.4) = 18.70%Weights:X A = 5 / 30 = 0.1667X B = 10 / 30 = 0.3333X C = 8 / 30 = 0.2667X D = 1 - X A - X B - X C = 0.2333Beta of portfolio= 0.1667 (0.75) + 0.3333 (1.10) + 0.2667 (1.36) + 0.2333 (1.88)= 1.293= 4 + 1.293 (15 - 4) = 18.22%a. (i) βA= ρA,MσA / σMρA,M= βA σM / σA= (0.9) (0.10) / 0.12= 0.75(ii) σB= βB σM / ρB,M= (1.10) (0.10) / 0.40= 0.275(iii) βC= ρC,MσC / σM= (0.75) (0.24) / 0.10= 1.80(iv) ρM,M= 1(v) βM= 1(vi) σf= 0(vii) ρf,M= 0(viii) βf= 0b. SML:E(R i) = R f + βi {E(R M) - R f}= 0.05 + (0.10) βiSecurity βi E(R i)A 0.13 0.90 0.14B 0.16 1.10 0.16C 0.25 1.80 0.23Security A performed worse than the market, while security C performed better than the market.Security B is fairly priced.c. According to the SML, security A is overpriced while security C is under-priced. Thus, you could invest in security C while sell security A (if you currently hold it).a. The typical risk-averse investor seeks high returns and low risks. To assess thetwo stocks, find theReturns:State of economy ProbabilityReturn on A*Recession 0.1 -0.20 Normal 0.8 0.10 Expansion0.10.20* Since security A pays no dividend, the return on A is simply (P 1 / P 0) - 1. = 0.1 (-0.20) + 0.8 (0.10) + 0.1 (0.20) = 0.08 = 0.09 This was given in the problem.Risk:R A - (R A -)2 P ⨯ (R A -)2 -0.28 0.0784 0.00784 0.02 0.0004 0.00032 0.12 0.0144 0.00144 Variance 0.00960Standard deviation (R A ) = 0.0980βA = {Corr(R A , R M ) σ(R A )} / σ(R M ) = 0.8 (0.0980) / 0.10= 0.784βB = {Corr(R B , R M ) σ(R B )} / σ(R M ) = 0.2 (0.12) / 0.10= 0.24The return on stock B is higher than the return on stock A. The risk of stock B, as measured by itsbeta, is lower than the risk of A. Thus, a typical risk-averse investor will prefer stock B.b. = (0.7) + (0.3) = (0.7) (0.8) + (0.3) (0.09) = 0.083σP 2= 0.72 σA 2 + 0.32 σB 2 + 2 (0.7) (0.3) Corr (R A , R B ) σA σB = (0.49) (0.0096) + (0.09) (0.0144) + (0.42) (0.6) (0.0980) (0.12) = 0.0089635 σP = = 0.0947 c. The beta of a portfolio is the weighted average of the betas of the components of the portfolio. βP = (0.7) βA + (0.3) βB = (0.7) (0.784) + (0.3) (0.240) = 0.621Chapter 11:An Alternative View of Risk and Return: The Arbitrage Pricing Theorya. Stock A:()()R R R R R A A A m m Am A=+-+=+-+βεε105%12142%...Stock B:()()R R R R R B B m m Bm B=+-+=+-+βεε130%098142%...Stock C:()R R R R R C C C m m Cm C=+-+=+-+βεε157%137142%)..(.b.()[]()[]()[]()()()()()()[]()()CB A m cB A m c m B m A m CB A P 25.045.030.0%2.14R 1435.1%925.1225.045.030.0%2.14R 37.125.098.045.02.130.0%7.1525.0%1345.0%5.1030.0%2.14R 37.1%7.1525.0%2.14R 98.0%0.1345.0%2.14R 2.1%5.1030.0R 25.0R 45.0R 30.0R ε+ε+ε+-+=ε+ε+ε+-+++++=ε+-++ε+-++ε+-+=++= c.i.()R R R A B C =+-==+-==+-=105%1215%142%)1113%09815%142%)137%157%13715%142%168%..(..46%.(......ii.R P =+-=12925%1143515%142%)138398%..(..To determine which investment investor would prefer, you must compute the variance of portfolios created bymany stocks from either market. Note, because you know that diversification is good, it is reasonable to assume that once an investor chose the market in which he or she will invest, he or she will buy many stocks in that market.Known:E EF ====001002 and and for all i.i σσεε..Assume: The weight of each stock is 1/N; that is, X N i =1/for all i.If a portfolio is composed of N stocks each forming 1/N proportion of the portfolio, the return on the portfolio is 1/N times the sum of the returns on the N stocks. Recall that the return on each stock is 0.1+βF+ε.()()()()()()[]()()()()()()()[]()[]()[]()()[]()()()()()j i 2j i 22j i i 2222222222P P P P iP ,0.04Corr 0.01,Cov s =isvariance the ,N as limit In the ,Cov 1/N 1s 1/N s )(1/N 1/N F 2F E 1/N F E 0.10.1/N F 0.1E R E R E R Var 0.101/N 00.1E 1/N F E 0.11/N F 0.1E R E 1/N F 0.1F 0.1(1/N)R 1/N R εε+β=εε+β∞⇒εε-+ε+β=ε∑+εβ+β=ε+β=-ε+β+=-==+β+=ε+β+=ε∑+β+=ε+β+=ε+β+==∑∑∑∑∑∑∑∑()()()()()()Thus,F R f E R E R Var R Corr Var R Corr ii ip P p i j PijR 1i =++=++===+=+010*********002250040002500412212111222.........,,εεεεεεa.()()()()Corr Corr Var R Var R i j i j p pεεεε112212000225000225,,..====Since Var ()()R p 1 Var R 2p 〉, a risk averse investor will prefer to invest in the second market.b. Corr ()()εεεε112090i j j ,.,== and Corr 2i()()Var R Var R pp120058500025==..。
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CHAPTER 13CORPORATE FINANCING DECISIONS AND EFFICIENT CAPITAL MARKETS Answers to Concepts Review and Critical Thinking Questions1.To create value, firms should accept financing proposals with positive net present values. Firms cancreate valuable financing opportunities in three ways: 1) Fool investors. A firm can issue a complex security to receive more than the fair market value. Financial managers attempt to package securities to receive the greatest value. 2) Reduce costs or increase subsidies. A firm can package securities to reduce taxes. Such a security will increase the value of the firm. In addition, financing techniques involve many costs, such as accountants, lawyers, and investment bankers. Packaging securities in a way to reduce these costs will also increase the value of the firm. 3) Create a new security. A previously unsatisfied investor may pay extra for a specialized security catering to his or her needs.Corporations gain from developing unique securities by issuing these securities at premium prices.2.The three forms of the efficient markets hypothesis are: 1) Weak form. Market prices reflectinformation contained in historical prices. Investors are unable to earn abnormal returns using historical prices to predict future price movements. 2) Semi-strong form. In addition to historical data, market prices reflect all publicly-available information. Investors with insider, or private information, are able to earn abnormal returns. 3) Strong form. Market prices reflect all information, public or private. Investors are unable to earn abnormal returns using insider information or historical prices to predict future price movements.3. a.False. Market efficiency implies that prices reflect all available information, but it does notimply certain knowledge. Many pieces of information that are available and reflected in prices are fairly uncertain. Efficiency of markets does not eliminate that uncertainty and therefore does not imply perfect forecasting ability.b.True. Market efficiency exists when prices reflect all available information. To be efficient inthe weak form, the market must incorporate all historical data into prices. Under the semi-strong form of the hypothesis, the market incorporates all publicly-available information in addition to the historical data. In strong form efficient markets, prices reflect all publicly and privately available information.c.False. Market efficiency implies that market participants are rational. Rational people willimmediately act upon new information and will bid prices up or down to reflect that information.d. False. In efficient markets, prices reflect all available information. Thus, prices will fluctuatewhenever new information becomes available.e.True. Competition among investors results in the rapid transmission of new market information.In efficient markets, prices immediately reflect new information as investors bid the stock price up or down.B-2 SOLUTIONS4.On average, the only return that is earned is the required return—investors buy assets with returns inexcess of the required return (positive NPV), bidding up the price and thus causing the return to fall to the required return (zero NPV); investors sell assets with returns less than the required return (negative NPV), driving the price lower and thus causing the return to rise to the required return (zero NPV).5.The market is not weak form efficient.6.Yes, historical information is also public information; weak form efficiency is a subset of semi-strong form efficiency.7.Ignoring trading costs, on average, such investors merely earn what the market offers; the trades allhave zero NPV. If trading costs exist, then these investors lose by the amount of the costs.8.Unlike gambling, the stock market is a positive sum game; everybody can win. Also, speculatorsprovide liquidity to markets and thus help to promote efficiency.9.The EMH only says, within the bounds of increasingly strong assumptions about the informationprocessing of investors, that assets are fairly priced. An implication of this is that, on average, the typical market participant cannot earn excessive profits from a particular trading strategy. However, that does not mean that a few particular investors cannot outperform the market over a particular investment horizon. Certain investors who do well for a period of time get a lot of attention from the financial press, but the scores of investors who do not do well over the same period of time generally get considerably less attention from the financial press.10. a.If the market is not weak form efficient, then this information could be acted on and a profitearned from following the price trend. Under (2), (3), and (4), this information is fully impounded in the current price and no abnormal profit opportunity exists.b. Under (2), if the market is not semi-strong form efficient, then this information could be usedto buy the stock ―cheap‖ before the rest of the market discovers the financial statement anomaly. Since (2) is stronger than (1), both imply that a profit opportunity exists; under (3) and (4), this information is fully impounded in the current price and no profit opportunity exists.c.Under (3), if the market is not strong form efficient, then this information could be used as aprofitable trading strategy, by noting the buying activity of the insiders as a signal that the stock is underpriced or that good news is imminent. Since (1) and (2) are weaker than (3), all three imply that a profit opportunity exists. Under (4), this information does not signal any profit opportunity for traders; any pertinent information the manager-insiders may have is fully reflected in the current share price.11. A technical analyst would argue that the market is not efficient. Since a technical analyst examinespast prices, the market cannot be weak form efficient for technical analysis to work. If the market is not weak form efficient, it cannot be efficient under stronger assumptions about the information available.CHAPTER 13 B-3 12.Investor sentiment captures the mood of the investing public. If investors are bearish in general, itmay be that the market is headed down in the future since investors are less likely to invest. If the sentiment is bullish, it would be taken as a positive signal to the market. To use investor sentiment in technical analysis, you would probably want to construct a ratio such as a bulls/bears ratio. To use the ratio, simply compare the historical ratio to the market to determine if a certain level on the ratio indicates a market upturn or downturn.13.Taken at face value, this fact suggests that markets have become more efficient. The increasing easewith which information is available over the internet lends strength to this conclusion. On the other hand, during this particular period, large-capitalization growth stocks were the top performers.Value-weighted indexes such as the S&P 500 are naturally concentrated in such stocks, thus making them especially hard to beat during this period. So, it may be that the dismal record compiled by the pros is just a matter of bad luck or benchmark error.14.It is likely the market has a better estimate of the stock price, assuming it is semistrong formefficient. However, semistrong form efficiency only states that you cannot easily profit from publicly available information. If financial statements are not available, the market can still price stocks based upon the available public information, limited though it may be. Therefore, it may have been as difficult to examine the limited public information and make an extra return.15. a.Aerotech’s stock price should rise immediately after the announcement of the positive news.b. Only scenario (ii) indicates market efficiency. In that case, the price of the stock risesimmediately to the level that reflects the new information, eliminating all possibility of abnormal returns. In the other two scenarios, there are periods of time during which an investor could trade on the information and earn abnormal returns.16. False. The stock price would h ave adjusted before the founder’s death only if investors had perfectforecasting ability. The 12.5 percent increase in the stock price after the founder’s death indicates that either the market did not anticipate the death or that the market had anticipated it imperfectly.However, the market reacted immediately to the new information, implying efficiency. It is interesting that the stock price rose after the announcement of the founder’s death.This price behavior indicates that the market felt he was a liability to the firm.17.The announcement should not deter investors from buying UPC’s stock. If the market is semi-strongform efficient, the stock price will have already reflected the present value of the payments that UPC must make. The expected return after the announcement should still be equal to the expected return before the announcement. UPC’s current stockholders bear the burden of the loss, since the stock price falls on the announcement. After the announcement, the expected return moves back to its original level.18.The market is generally considered to be efficient up to the semi-strong form. Therefore, nosystematic profit can be made by trading on publicly-available information. Although illegal, the lead engineer of the device can pr ofit from purchasing the firm’s stock before the news release on the implementation of the new technology. The price should immediately and fully adjust to the new information in the article. Thus, no abnormal return can be expected from purchasing after the publication of the article.B-4 SOLUTIONS19.Under the semi-strong form of market efficiency, the stock price should stay the same. Theaccounting system changes are publicly available information. Investors would identify no changes in either the firm’s current or its future cash flows. Thus, the stock price will not change after the announcement of increased earnings.20.Because the number of subscribers has increased dramatically, the time it takes for information inthe newsletter to be reflected in prices has shortened. With shorter adjustment periods, it becomes impossible to earn abnormal returns with the information provided by Durkin. If Durkin is using only publicly-available information in its newsletter, its ability to pick stocks is inconsistent with the efficient markets hypothesis. Under the semi-strong form of market efficiency, all publicly-available information should be reflected in stock prices. The use of private information for trading purposes is illegal.21.You should not agree with your broker. The performance ratings of the small manufacturing firmswere published and became public information. Prices should adjust immediately to the information, thus preventing future abnormal returns.22. Stock prices should immediately and fully rise to reflect the announcement. Thus, one cannot expectabnormal returns following the announcement.23. a.No. Earnings information is in the public domain and reflected in the current stock price.b. Possibly. If the rumors were publicly disseminated, the prices would have already adjusted forthe possibility of a merger. If the rumor is information that you received from an insider, you could earn excess returns, although trading on that information is illegal.c. No. The information is already public, and thus, already reflected in the stock price.24. Serial correlation occurs when the current value of a variable is related to the future value of thevariable. If the market is efficient, the information about the serial correlation in the macroeconomic variable and its relationship to net earnings should already be reflected in the stock price. In other words, although there is serial correlation in the variable, there will not be serial correlation in stock returns. Therefore, knowledge of the correlation in the macroeconomic variable will not lead to abnormal returns for investors.25. The statement is false because every investor has a different risk preference. Although the expectedreturn from every well-diversified portfolio is the same after adjusting for risk, investors still need to choose funds that are consistent with their particular risk level.26. The share price will decrease immediately to reflect the new information.At the time of theannouncement, the price of the stock should immediately decrease to reflect the negative information.CHAPTER 13 B-5 27. In an efficient market, the cumulative abnormal return (CAR) for Prospectors would risesubstantially at the announcement of a new discovery. The CAR falls slightly on any day when no discovery is announced. There is a small positive probability that there will be a discovery on any given day. If there is no discovery on a particular day, the price should fall slightly because the good event did not occur. The substantial price increases on the rare days of discovery should balance the small declines on the other days, leaving CARs that are horizontal over time. The substantial price increases on the rare days of discovery should balance the small declines on all the other days, leavings CARs that are horizontal over time.28.Behavioral finance attempts to explain both the 1987 stock market crash and the Internet bubble bychanges in investor sentiment and psychology. These changes can lead to non-random price behavior.Solutions to Questions and ProblemsNOTE: All end-of-chapter problems were solved using a spreadsheet. Many problems require multiple steps. Due to space and readability constraints, when these intermediate steps are included in this solutions manual, rounding may appear to have occurred. However, the final answer for each problem is found without rounding during any step in the problem.Basic1.To find the cumulative abnormal returns, we c hart the abnormal returns for each of the three airlinesfor the days preceding and following the announcement. The abnormal return is calculated by subtracting the market return from a stock’s return on a particular day, R i– R M. Group the returns by the number of days before or after the announcement for each respective airline. Calculate the cumulative average abnormal return by adding each abnormal return to the previous day’s abnormal return.Abnormal returns (R i– R M)Days fromannouncement Delta United American SumAverageabnormal returnCumulativeaverage residual–3 0.2 –0.1 0.2 0.3 0.1 –0.1 –2 0.2 –0.2 0.0 0.0 0.0 –0.1 –1 0.2 0.2 –0.4 0.0 0.0 –0.10 3.3 0.2 1.9 5.4 1.8 1.71 0.2 0.1 0.0 0.3 0.1 1.82 –0.1 0.0 0.1 0.0 0.0 1.83 –0.2 0.1 –0.2 –0.3 –0.1 1.74 –0.1 –0.1 –0.1 –0.3 –0.1 1.6B-6 SOLUTIONSThe market reacts favorably to the announcements. Moreover, the market reacts only on the day of the announcement. Before and after the event, the cumulative abnormal returns are relatively flat.This behavior is consistent with market efficiency.2. The diagram does not support the efficient markets hypothesis. The CAR should remain relativelyflat following the announcements. The diagram reveals that the CAR rose in the first month, only to drift down to lower levels during later months. Such movement violates the semi-strong form of the efficient markets hypothesis because an investor could earn abnormal profits while the stock price gradually decreased.3. a.Supports. The CAR remained constant after the event at time 0. This result is consistent withmarket efficiency, because prices adjust immediately to reflect the new information. Drops in CAR prior to an event can easily occur in an efficient capital market. For example, consider a sample of forced removals of the CEO. Since any CEO is more likely to be fired following bad rather than good stock performance, CARs are likely to be negative prior to removal. Because the firing of the CEO is announced at time 0, one cannot use this information to trade profitably before the announcement. Thus, price drops prior to an event are neither consistent nor inconsistent with the efficient markets hypothesis.b. Rejects. Because the CAR increases after the event date, one can profit by buying after theevent. This possibility is inconsistent with the efficient markets hypothesis.c.Supports. The CAR does not fluctuate after the announcement at time 0. While the CAR wasrising before the event, insider information would be needed for profitable trading. Thus, the graph is consistent with the semi-strong form of efficient markets.CHAPTER 13 B-7d.Supports. The diagram indicates that the information announced at time 0 was of no value.There appears to be a slight drop in the CAR prior to the event day. Similar to part a, such movement is neither consistent nor inconsistent with the efficient markets hypothesis (EMH).Movements at the event date are neither consistent nor inconsistent with the efficient markets hypothesis.4. Once the verdict is reached, the diagram shows that the CAR continues to decline after the courtdecision, allowing investors to earn abnormal returns. The CAR should remain constant on average, even if an appeal is in progress, because no new information about the company is being revealed.Thus, the diagram is not consistent with the efficient markets hypothesis (EMH).。