公司理财期末整理(英文版)

Chapter 3①The balance sheet②The income statement③The statement of cash flows④tax①The balance sheetEquation: total assets=total liabilities + shareholders’ equityNet working capital(NWC)=current asset – current liabilities是指企业的流动资产总额减Balance sheetCurrent Assets Current Liabilities•Cash & Securities payables•Receivables short-term debt•Inventories ++ long-term liabilitiesFixed Assets +•Tangible Assets shareholders’ equity•Intangible AssetsBook value& market value②the income statementThe income statementSales revenue $135,000Less: cost of sales 108,000Gross profits 27,000Less: Operating expenses 13,500Operating profits 13,500Less: Financing expense 1,350Net profits before taxes 12,150Less: Taxes (15%) 1,823Net profits after taxes $10,327In the income statement below, what was the value of Home Depot’s EBIT in 2009?EBIT = total Revenues －costs －deprecation③the statement of cash flowsExample:Net income for your firm was $10,000 last year. The depreciation expense was $2,500; accounts receivable increased $1,250; accounts payable increased $800; and inventories increased by $2,000.What was the total cash flow from operations for the period?Net income: 10,000Depreciation: 2,500Accounts Receivable: (1,250)Accounts Payable: 800Inventories: (2,000)Cash flow from operations: 10,050Free Cash FlowFree Cash Flow is cash available for distribution to investors after the firm pays for new investments or additions to working capital.Free cash flow = (EBIT – taxes + dep.) - change in net working capital- cap. expenditures④tax: 1.corporate tax2.personal tax一,marginal tax rate二,average tax rateChapter4MuaEvaBook rate of ruturnFinancial ratio (财务比率) and shareholders ’ valueThe Dupont systemprice x shares outstanding)Market value added: Market capitalization minus book value of equty.Market-to-book ratio=equityof value book equity of value market ...................Economic Value Added(EV A)Total capitalization: long-term debt + equityAfter tax operating income = after-tax interest + net incomeEVA :Show the firm’s truly created valueincome earned – income requiredBook Rates of Returnreturn on capital(ROC)资本收益率ROC=after-tax operating income/total capitalizationROC=after-tax operating income/average total capitalizationReturn on asset(ROA)资产收益率ROA=after-tax operating income/total assetsROA=after-tax operating income/average total assetsReturn on equity(ROE)股本回报率，产权回报率ROE=net income/equity因为是operating income 在上章可知operating income 是financial expenses 之前的，故还未减去interest ，故要加after-taxinterset)PPT 中关于ROA ，ROC ，ROE 的练习Financial ratios and shareholders ’ valueEconomic Value Added Operating Income* - [Cost of Capital Total Capitalization]=⨯Shareholder value depends on good investment and financing decisions.Financial Ratios help measure the success and soundness of these decisionsEfficiency RatiosAsset turnover ratio=sales/total assets at start of yearOr=sales/average total assetsReceivables turnover=sales/receivables at start of yearAverage collection period=receivables at start of year/average daily sales=365/receivable turnoverInventory turnover ratio=cost of goods sold/inventory at start of yearAverage days in inventory=inventory at start of year/daily cost of goods sold=365/inventory turnoverProfitability RatiosProfit margin(利润率)=net income/sales(IOPM)Operating profit margin=net income +after-tax interest/sales=after-tax operating income/salesLeverage Ratios杠杆率(debt and equity)Long-term debt ratio=long-term debt/long-term debt+equityLong-term debt equity ratio=long-term debt/equityMeasuring LeverageTotal debt ratio=total liability/total assetsTimes interest earned（利息保障率,利息保障倍数）=EBIT/interest payments用于衡量偿付贷款利息的能力Cash coverage ratio（现金涵盖比率）=EBIT+depreciation/interest paymentsLiquidity Ratios(短期还债能力指标/流动性指标)NWC to total assets ratio(经营运资金比)=net working capital/total assets(Net working capital=current asset – current liabilities) Current ratio(流动比率)=current assets/current liabilities(短期还债能力的一个指标)Quick ratio(速动比率)=cash + marketable securities(有价证券) + receivables/current liabilitiesCash ratio(现金比率)=cash + marketable securities/current liabilitiesThe Dupont systemROA= after-tax operating income/asset=assets sales x sales....income operating tax after -=assets turnover x operating profit margin=leverage ratio x asset turnover x operating profit margin x debt burden股息支付率 再投资率Or call sustainable growth rateChapter 5Future valuePresent valuePv of multiple cash flowsPerpetuitiesAnnutitiesFuture value of annutitiesAnnuities and annuities due EAR & APRAssets Sales Net Income Interest Net Income ROE=x x x Equity Assets Sales Net Income Interest++Dividends Payout Ratio=Earnings Earnings-Dividends Plowback Ratio=Earnings Growth in equity from plowback = Plowback Ratio ROE Earnings - Dividends Earnings Earnings Equity ⨯=⨯Earnings-Dividends = EquityInflationValuing real cash paymentsFuture valueSimple interest: FV simple =initial investment*(1+r*t)Compound interest: FV compound =initial investment*(1+r)tPresent valueDiscount rate: rDiscount factor: DF=t r )1(1+ Present value: PV=FV*t r )1(1+ PV of multiple cash flowsCt=the cash flows in year tExample: Your auto dealer gives you the choice to pay $15,500 cash now or make threepayments: $8,000 now and $4,000 at the end of the following two years. If your cost of money (discount rate) is 8%, which do you prefer?PerpetuitiesPV of perpetuity: PV=C/rExample: In order to create an endowment, which pays $185,000 per year forever, how much money must be set aside today if the rate of interest is 8%?What if the first payment won’t be received until 3 years from today?PV = 2312,500 / (1 + 0.08)3= 1,835,662.5annuities124,0001(1.08)4,0002(1.08)Initial Payment* 8,000.003,703.703,429.36Total PV $15,133.06PV of C PV of C ++=====185,000.08$2,312,500PV ==Present value of an annuity: PV=C*[r 1-t r r )1(1+] The terms within the brackets are collectively called the “annuity factor ”PV of multiple cash flowsFuture value of annuitiesExample: You plan to save $4,000 every year for 20 years and then retire. Given a 10% rate ofAnnuities due(即付年金)（与普通年金（即后付年金）的区别仅在于付款时间的不同，一个n 期的即付年金相当于一个n-1期的普通年金）(期不等于年)PV annuitydue =PV annuity (1+r) FV annuity due =FV annuity(1+r) Example: Suppose you invest $429.59 annually at the beginning of each year at 10% interest. After 50 years, how much would your investment be worth?EAR & APREffective annual interest rate: The period interest rate that is annualized using compound interest.EAR = (1 + monthly rate)12 - 1Annual Percentage Rate: The period interest rate that is annualized using simple interest APR = monthly rate × 12Example : Given a monthly rate of 1%, what is the Effective Annual Rate(EAR)? What is the Annual Percentage Rate (APR)?Inflation000,550$)10.1()000,500($)1(=⨯=+⨯=AD AD Annuity AD FV FV r FV FV %00.12)12()01.0(%68.121)01.1(12=⨯==-=APR EAR 1+nominal interest rate1+inflation rate 1real interest rate=+Valuing real cash payments♦ Example: You make a loan of $5,000 to Jane who will pay it back in 1 year. The interestrate is 8%, and the inflation rate is 5% now. What is the present value of Jane’s IOU? Show that you get the same answer when (a) discounting the nominal payment at the nominal rate and (b) discounting the real payment at the real rate.♦ (a) 5,000 / (1 + 8%) = $4630(b) 5,000 / (1.05) = $4762 (real dollar)4762 / (1.028) = $4630(2.8% is real interest rate)不能用实际利率去贴现名义现金流Chapter 6bond pricing:example: For a $1000 face value bond with a bid price of 103:05 and an asked price of 103:06, how much would an investor pay for the bond?PV=1)1(r coupon ++2)1(r coupon ++…+t r par coupon )1(++ PV bond =PV coupon +PV parvalue=coupon*(annuity factor)+ par value * (discout factor)Example: What is the value of a 3-year annuity that pays $90 each year and an additional$1,000 at the date of the final repayment? Assume a discount rate of 4%.Warning: bond rate inflation -rate interest nominal rate interest Real ≈()()6103% 103.1875% 321.031875$1,000 $1,031.875of face value ⎛⎫+= ⎪⎝⎭⨯=331(1.04)1$90$1,000.04(1.04)$1,138.75Bond PV --+=⨯+⨯+=()()1(1)where 1and (1)Bond Coupons ParValue Bond t tPV PV PV PV coupon Annuity Factor par value Discount Factor r Annuity Factor rDiscount Factor r -=+=⨯+⨯-+==+The coupon rate IS NOT the discount rate used in the Present Value calculations Example: What is the present value of a 4% coupon bond with face value $1,000 that matures in 3 years? Assume a discount rate of 5%. Bond yields Current yield : annual coupon payments divided by bond priceExample:Suppose you spend $1,150 for a $1,000 face value bond that pays a $60 annual coupon payment for 3 years. What is the bond’s current yield?Yield to maturity:PV=1)1(r coupon ++2)1(r coupon ++…+t r par coupon )1(++ Bond rates of returnRate of return 只算一年的couponYTM vs rate of returnYTM ↑ (↓)(unchange) → the price of bond ↓ (↑) (unchange) → the rate of return for that period less (greater)(equal to) than the yield to maturity.Ytm 通过改变price 去改变p1-p0 从而改变rate of return ，由rate of return 公式得，p1-p0和其成正比，ytm 与change in price 成反比，故ytm 与其成反比Chapter 7Stock marketP/E ratio(本益比): price per share divided by earnings per shareAsk price & bid priceAsk price: the price at which current shareholders are willing to sell their sharesBid price: the price at which investors are willing to buy sharesTerminologyinvestment change price +income Coupon =return of Rate investmentincome total =return of Rate1,market cap. 2.P/E ratio 3.dividend yieldExample: You are considering investing in a firm whose shares are currently selling for $50 per share with 1,000,000 shares outstanding. Expected dividends are $2/share and earnings are $6/share.What is the firm’s Market Cap? P/E Ratio? Dividend Yield?Measure of value1. book value2. liquidation value3.market valueBV= Assets - liabilitiesLV = Assets selling price – LiabilitiesMV = Tangible & intangible assets + Inv. OpportunitiesPrice and intrinsic valueVo 内在价值Example: What is the intrinsic value of a share of stock if expected dividends are $2/shareand the expected price in 1 year is $35/share? Assume a discount rate of 10%.Expected return(ER)Valuing common stocksdividend discount modelconsider three simplying cases1. no growth2. constant growth3. noconstant growth Market Capitalization $501,000,000$50,000,000$50P/E Ratio 8.33$6$2Dividend Yield .044%$50=⨯======HH H r P Div r Div r Div P )1(...)1()1(22110+++++++=1.2.Example: What should the price of a share of stock be if the firm will pay a $4 dividend in 1year that is expected to grow at a constant rate of 5%? Assume a discount rate of 10%.3.Example:A firm is expected to pay $2/share in dividends next year. Those dividends are expected to grow by 8% for the next three years and 6% thereafter. If the discount rate is 10%, what is the current price of this security?Required rates of returnExample: What rate of return should an investor expect on a share of stock with a $2 expected dividend and 8% growth rate that sells today for $60?Sustainable growth rateExample: Suppose a firm that pays out 35% of earnings as dividends and expects its return on equity to be 10%. What is the expected growth rate?Valuing growth stocksWhere: EPS= Earnings per share PVGO = Present Value of Growth OpportunitiesSuppose a stock is selling today for $55/share and there are 10,000,000 shares outstanding. If earnings are projected to be $20,000,000, how much value are investors assigning to growth per share? Assume a discount rate of 10%.Return on Equity Plowback Rate = :g ROE bearnings dividends where b earnings=⨯⨯-=.10(1.35).065 6.5%g =⨯-==Chapter 8(NPV ,EAA,IRR) 第8章（ 重点复习单元）：净现值及其他投资准则，会算NPV ，计算EAA (P191页)，认识其他投评估指标（PP 回流期和 IRR 内含报酬率）及其判断准则（取大或取小），重点关注NPV 与IRR ，注意使用IRR 指标的前提是IRR<r （P199页）有关投资组合，要知道其大前提是资金是有约束的；单个项目的特征（可分/不可分），可分的单个项目之间的比较与排序用PI （收益指数）值来衡量，不可分的用各自的NPV 值来比较衡量，比较的前提是它们的寿命期是一样的，如果不一样的话就用最小共同寿命期法或等价年金法来比较 。

CHAPTER 8Making Capital Investment Decisions I. DEFINITIONSINCREMENTAL CASH FLOWSa 1. The changes in a firm’s future cash flows that are a direct consequence of accepting aproject are called _____ cash flows.a. incrementalb. stand-alonec. after-taxd. net present valuee. erosionDifficulty level: EasyEQUIVALENT ANNUAL COSTe 2. The annual annuity stream of payments with the same present value as a project’s costsis called the project’s _____ cost.a. incrementalb. sunkc. opportunityd. erosione. equivalent annualDifficulty level: EasySUNK COSTSc 3. A cost that has already been paid, or the liability to pay has already been incurred, isa(n):a. salvage value expense.b. net working capital expense.c. sunk cost.d. opportunity cost.e. erosion cost.Difficulty level: EasyOPPORTUNITY COSTSd 4. The most valuable investment given up if an alternative investment is chosen is a(n):a. salvage value expense.b. net working capital expense.c. sunk cost.d. opportunity cost.e. erosion cost.Difficulty level: EasyEROSION COSTSe 5. The cash flows of a new project that come at the expense of a firm’s existing projectsare called:a. salvage value expenses.b. net working capital expenses.c. sunk costs.d. opportunity costs.e. erosion costs.Difficulty level: EasyPRO FORMA FINANCIAL STATEMENTSa 6. A pro forma financial statement is one that:a. projects future years’ operations.b. is expressed as a percentage of the total assets of the firm.c. is expressed as a percentage of the total sales of the firm.d. is expressed relative to a chosen base year’s financial statement.e. reflects the past and current operations of the firm.Difficulty level: EasyMACRS DEPRECIATIONb 7. The depreciation method currently allowed under US tax law governing the acceleratedwrite-off of property under various lifetime classifications is called _____ depreciation.a. FIFOb. MACRSc. straight-lined. sum-of-years digitse. curvilinearDifficulty level: EasyDEPRECIATION TAX SHIELDc 8. The cash flow tax savings generated as a result of a firm’s tax-deductible depreciationexpense is called the:a. after-tax depreciation savings.b. depreciable basis.c. depreciation tax shield.d. operating cash flow.e. after-tax salvage value.Difficulty level: EasyCASH FLOWd 9. The cash flow from projects for a company is computed as the:a. net operating cash flow generated by the project, less any sunk costs and erosion costs.b. sum of the incremental operating cash flow and after-tax salvage value of the project.c. net income generated by the project, plus the annual depreciation expense.d. sum of the incremental operating cash flow, capital spending, and net working capitalexpenses incurred by the project.e. sum of the sunk costs, opportunity costs, and erosion costs of the project.Difficulty level: MediumII. CONCEPTSPRO FORMA INCOME STATEMENTb 10. The pro forma income statement for a cost reduction project:a. will reflect a reduction in the sales of the firm.b. will generally reflect no incremental sales.c. has to be prepared reflecting the total sales and expenses of a firm.d. cannot be prepared due to the lack of any project related sales.e. will always reflect a negative project operating cash flow.Difficulty level: EasyINCREMENTAL CASH FLOWb 11. One purpose of identifying all of the incremental cash flows related to a proposedproject is to:a. isolate the total sunk costs so they can be evaluated to determine if the project willadd value to the firm.b. eliminate any cost which has previously been incurred so that it can be omitted fromthe analysis of the project.c. make each project appear as profitable as possible for the firm.d. include both the proposed and the current operations of a firm in the analysis of theproject.e. identify any and all changes in the cash flows of the firm for the past year so they canbe included in the analysis.Difficulty level: MediumINCREMENTAL CASH FLOWe 12. Which of the following are examples of an incremental cash flow?I. an increase in accounts receivableII. a decrease in net working capitalIII. an increase in taxesIV. a decrease in the cost of goods solda. I and III onlyb. III and IV onlyc. I and IV onlyd. I, III, and IV onlye. I, II, III, and IVDifficulty level: MediumINCREMENTAL CASH FLOWc 13. Which one of the following is an example of an incremental cash flow?a. the annual salary of the company president which is a contractual obligationb. the rent on a warehouse which is currently being utilizedc. the rent on some new machinery that is required for an upcoming projectd. the property taxes on the currently owned warehouse which has been sitting idle butis going to be utilized for a new projecte. the insurance on a company-owned building which will be utilized for a new projectDifficulty level: MediumINCREMENTAL COSTSd 14. Project analysis is focused on _____ costs.a. sunkb. totalc. variabled. incrementale. fixedDifficulty level: MediumSUNK COSTc 15. Sunk costs include any cost that:a. will change if a project is undertaken.b. will be incurred if a project is accepted.c. has previously been incurred and cannot be changed.d. is paid to a third party and cannot be refunded for any reason whatsoever.e. will occur if a project is accepted and once incurred, cannot be recouped.Difficulty level: EasySUNK COSTd 16. You spent $500 last week fixing the transmission in your car. Now, the brakes areacting up and you are trying to decide whether to fix them or trade the car in for anewer model. In analyzing the brake situation, the $500 you spent fixing thetransmission is a(n) _____ cost.a. opportunityb. fixedc. incrementald. sunke. relevantDifficulty level: EasyEROSIONb 17. Erosion can be explained as the:a. additional income generated from the sales of a newly added product.b. loss of current sales due to a new project being implemented.c. loss of revenue due to employee theft.d. loss of revenue due to customer theft.e. loss of cash due to the expenses required to fix a parking lot after a heavy rain storm.Difficulty level: EasyEROSIONa 18. Which of the following are examples of erosion?I. the loss of sales due to increased competition in the product marketII. the loss of sales because your chief competitor just opened a store across the street from your storeIII. the loss of sales due to a new product which you recently introducedIV. the loss of sales due to a new product recently introduced by your competitora. III onlyb. III and IV onlyc. I, III and IV onlyd. II and IV onlye. I, II, III, and IVDifficulty level: MediumTYPES OF COSTSd 19. Which of the following should be included in the analysis of a project?I. sunk costsII. opportunity costsIII. erosion costsIV. incremental costsa. I and II onlyb. III and IV onlyc. II and IV onlyd. II, III, and IV onlye. I, II, and IV onlyDifficulty level: MediumNET WORKING CAPITALd 20. All of the following are anticipated effects of a proposed project. Which of theseshould be included in the initial project cash flow related to net working capital?I. an inventory decrease of $5,000II. an increase in accounts receivable of $1,500III. an increase in fixed assets of $7,600IV. a decrease in accounts payable of $2,100a. I and II onlyb. I and III onlyc. II and IV onlyd. I, II, and IV onlye. I, II, III, and IVDifficulty level: MediumNET WORKING CAPITALa 21. Changes in the net working capital:a. can affect the cash flows of a project every year of the project’s life.b. only affect the initial cash flows of a project.c. are included in project analysis only if they represent cash outflows.d. are generally excluded from project analysis due to their irrelevance to the totalproject.e. affect the initial and the final cash flows of a project but not the cash flows of themiddle years.Difficulty level: MediumNET WORKING CAPITALc 22. Which one of the following will decrease net working capital of a firm?a. a decrease in accounts payableb. an increase in inventoryc. a decrease in accounts receivabled. an increase in the firm’s checking account balancee. a decrease in fixed assetsDifficulty level: EasyNET WORKING CAPITALd 23. Net working capital:a. can be ignored in project analysis because any expenditure is normally recouped by theend of the project.b. requirements generally, but not always, create a cash inflow at the beginning of aproject.c. expenditures commonly occur at the end of a project.d. is frequently affected by the additional sales generated by a new project.e. is the only expenditure where at least a partial recovery can be made at the end of aproject.Difficulty level: EasyMACRSd 24. A company which uses the MACRS system of depreciation:a. will have equal depreciation costs each year of an asset’s life.b. will expense the cost of nonresidential real estate over a period of 7 years.c. can depreciate the cost of land, if they so desire.d. will write off the entire cost of an asset over the asset’s class life.e. cannot expense any of the cost of a new asset during the first year of the asset’s life.Difficulty level: EasyMACRSa 25. Bet ‘r Bilt Toys just purchased some MACRS 5-year property at a cost of $230,000.Which of the following will correctly give you the book value of this equipment at theend of year 2?MACRS 5-year propertyYear Rate1 20.00%2 32.00%3 19.20%4 11.52%5 11.52%6 5.76%I. 52% of the asset costII. 48% of the asset costIII. 68% of 80% of the asset costIV. the asset cost, minus 20% of the asset cost, minus 32% of 80% of the asset costa. II onlyb. III and IV onlyc. I and III onlyd. II and IV onlye. I, II, III, and IVDifficulty level: EasyMACRSe 26. Will Do, Inc. just purchased some equipment at a cost of $650,000. What is theproper methodology for computing the depreciation expense for year 3 if theequipment is classified as 5-year property for MACRS?MACRS 5-year propertyYear Rate1 20.00%2 32.00%3 19.20%4 11.52%5 11.52%6 5.76%a. $650,000 ⨯ (1-.20) ⨯ (1-.32) ⨯ (1-.192)b. $650,000 ⨯ (1-.20) ⨯ (1-.32)c. $650,000 ⨯ (1+.20) ⨯ (1+.32) ⨯ (1+.192)d. $650,000 ⨯ (1-.192)e. $650,000 ⨯ .192Difficulty level: MediumBOOK VALUEd 27. The book value of an asset is primarily used to compute the:a. annual depreciation tax shield.b. amount of cash received from the sale of an asset.c. amount of tax saved annually due to the depreciation expense.d. amount of tax due on the sale of an asset.e. change in depreciation needed to reflect the market value of the asset.Difficulty level: EasySALVAGE VALUEc 28. The salvage value of an asset creates an after-tax cash inflow to the firm in an amountequal to the:a. sales price of the asset.b. sales price minus the book value.c. sales price minus the tax due based on the sales price minus the book value.d. sales price plus the tax due based on the sales price minus the book value.e. sales price plus the tax due based on the book value minus the sales price.Difficulty level: EasySALVAGE VALUEe 29. The pre-tax salvage value of an asset is equal to the:a. book value if straight-line depreciation is used.b. book value if MACRS depreciation is used.c. market value minus the book value.d. book value minus the market value.e. market value.Difficulty level: EasyPROJECT OCFa 30. A project’s operating cash flow will increase when:a. the depreciation expense increases.b. the sales projections are lowered.c. the interest expense is lowered.d. the net working capital requirement increases.e. the earnings before interest and taxes decreases.Difficulty level: EasyPROJECT CASH FLOWSc 31. The cash flows of a project should:a. be computed on a pre-tax basis.b. include all sunk costs and opportunity costs.c. include all incremental costs, including opportunity costs.d. be applied to the year when the related expense or income is recognized by GAAP.e. include all financing costs related to new debt acquired to finance the project.Difficulty level: EasyPROJECT OCFa 32. Which of the following are correct methods for computing the operating cash flow ofa project assuming that the interest expense is equal to zero?I. EBIT + Depreciation - TaxesII. EBIT + Depreciation + TaxesIII. Net Income + DepreciationIV. (Sales – Costs) ⨯ (Taxes + Depreciation) ⨯ (1-Taxes)a. I and III onlyb. II and IV onlyc. II and III onlyd. I, III, and IV onlye. II, III, and IV onlyDifficulty level: MediumBOTTOM-UP OCFb 33. The bottom-up approach to computing the operating cash flow applies only when:a. both the depreciation expense and the interest expense are equal to zero.b. the interest expense is equal to zero.c. the project is a cost-cutting project.d. no fixed assets are required for the project.e. taxes are ignored and the interest expense is equal to zero.Difficulty level: MediumTOP-DOWN OCFa 34. The top-down approach to computing the operating cash flow:a. ignores all noncash items.b. applies only if a project produces sales.c. can only be used if the entire cash flows of a firm are included.d. is equal to sales - costs - taxes + depreciation.e. includes the interest expense related to a project.Difficulty level: MediumTAX SHIELDd 35. An increase in which one of the following will increase the operating cash flow?a. employee salariesb. office rentc. building maintenanced. equipment depreciatione. equipment rentalDifficulty level: EasyTAX SHIELDc 36. Tax shield refers to a reduction in taxes created by:a. a reduction in sales.b. an increase in interest expense.c. noncash expenses.d. a project’s incremental expenses.e. opportunity costs.Difficulty level: EasyCOST-CUTTINGc 37. A project which is designed to improve the manufacturing efficiency of a firm but willgenerate no additional sales is referred to as a(n) _____ project.a. sunk costb. opportunityc. cost-cuttingd. revenue-cuttinge. revenue-generatingDifficulty level: EasyEQUIVALENT ANNUAL COSTc 38. Toni’s Tools is comparing machines to determine which one to purchase. Themachines sell for differing prices, have differing operating costs, differing machinelives, and will be replaced when worn out. These machines should be compared using:a. net present value only.b. both net present value and the internal rate of return.c. their effective annual costs.d. the depreciation tax shield approach.e. the replacement parts approach.Difficulty level: MediumEQUIVALENT ANNUAL COSTe 39. The equivalent annual cost method is useful in determining:a. the annual operating cost of a machine if the annual maintenance is performed versuswhen the maintenance is not performed as recommended.b. the tax shield benefits of depreciation given the purchase of new assets for a project.c. operating cash flows for cost-cutting projects of equal duration.d. which one of two machines to acquire given equal machine lives but unequal machinecosts.e. which one of two machines to purchase when the machines are mutually exclusive,have different machine lives, and will be replaced once they are worn out.Difficulty level: MediumIII. PROBLEMSRELEVANT CASH FLOWSd 40. Marshall’s & Co. purchased a corner lot in Eglon City five y ears ago at a cost of$640,000. The lot was recently appraised at $810,000. At the time of the purchase, thecompany spent $50,000 to grade the lot and another $4,000 to build a small buildingon the lot to house a parking lot attendant who has overseen the use of the lot for dailycommuter parking. The company now wants to build a new retail store on the site. Thebuilding cost is estimated at $1.2 million. What amount should be used as the initialcash flow for this building project?a. $1,200,000b. $1,840,000c. $1,890,000d. $2,010,000e. $2,060,000Difficulty level: MediumRELEVANT CASH FLOWSe 41. Jamestown Ltd. currently produces boat sails and is considering expanding itsoperations to include awnings for homes and travel trailers. The company owns landbeside its current manufacturing facility that could be used for the expansion. Thecompany bought this land ten years ago at a cost of $250,000. Today, the land isvalued at $425,000. The grading and excavation work necessary to build on the landwill cost $15,000. The company currently has some unused equipment which itcurrently owns valued at $60,000. This equipment could be used for producingawnings if $5,000 is spent for equipment modifications. Other equipment costing$780,000 will also be required. What is the amount of the initial cash flow for thisexpansion project?a. $800,000b. $1,050,000c. $1,110,000d. $1,225,000e. $1,285,000Difficulty level: MediumRELEVANT CASH FLOWSb 42. Wilbert’s, Inc. paid $90,000, in cash, for a piece of equipment three years ago. Lastyear, the company spent $10,000 to update the equipment with the latest technology.The company no longer uses this equipment in their current operations and hasreceived an offer of $50,000 from a firm who would like to purchase it. Wilbert’s isdebating whether to sell the equipment or to expand their operations such that theequipment can be used. When evaluating the expansion option, what value, if any,should Wilbert’s assign to this equipment as an initial cost of the project?a. $40,000b. $50,000c. $60,000d. $80,000e. $90,000Difficulty level: EasyRELEVANT CASH FLOWSa 43. Walks Softly, Inc. sells customized shoes. Currently, they sell 10,000 pairs of shoesannually at an average price of $68 a pair. They are considering adding a lower-pricedline of shoes which sell for $49 a pair. Walks Softly estimates they can sell 5,000 pairsof the lower-priced shoes but will sell 1,000 less pairs of the higher-priced shoes bydoing so. What is the amount of the sales that should be used when evaluating theaddition of the lower-priced shoes?a. $177,000b. $245,000c. $313,000d. $789,000e. $857,000Difficulty level: MediumOPPORTUNITY COSTc 44. Your firm purchased a warehouse for $335,000 six years ago. Four years ago, repairswere made to the building which cost $60,000. The annual taxes on the property are$20,000. The warehouse has a current book value of $268,000 and a market value of$295,000. The warehouse is totally paid for and solely owned by your firm. If thecompany decides to assign this warehouse to a new project, what value, if any, shouldbe included in the initial cash flow of the project for this building?a. $0b. $268,000c. $295,000d. $395,000e. $515,000Difficulty level: EasyOPPORTUNITY COSTd 45. You own a house that you rent for $1,200 a month. The maintenance expenses onthe house average $200 a month. The house cost $89,000 when you purchased itseveral years ago. A recent appraisal on the house valued it at $210,000. The annualproperty taxes are $5,000. If you sell the house you will incur $20,000 in expenses.You are deciding whether to sell the house or convert it for your own use as aprofessional office. What value should you place on this house when analyzing theoption of using it as a professional office?a. $89,000b. $120,000c. $185,000d. $190,000e. $210,000Difficulty level: MediumOPPORTUNITY COSTc 46. Big Joe’s owns a manufacturing facility that is currently sitting idle. The facility islocated on a piece of land that originally cost $129,000. The facility itself cost$650,000 to build. As of now, the book value of the land and the facility are $129,000and $186,500, respectively. Big Joe’s received an offer of $590,000 for the land andfacility last week. They rejected this offer even though they were told that it is areasonable offer in today’s market. If Big Joe’s were to consider using this land andfacility in a new project, what cost, if any, should they include in the project analysis?a. $0b. $315,500c. $590,000d. $650,000e. $779,000Difficulty level: EasyEROSION COSTb 47. Jamie’s Motor Home Sales currently sells 1,000 Class A motor homes, 2,500 Class Cmotor homes, and 4,000 pop-up trailers each year. Jamie is considering adding a mid-range camper and expects that if she does so she can sell 1,500 of them. However, ifthe new camper is added, Jamie expects that her Class A sales will decline to 950 unitswhile the Class C campers decline to 2,200. The sales of pop-ups will not be affected.Class A motor homes sell for an average of $125,000 each. Class C homes are pricedat $39,500 and the pop-ups sell for $5,000 each. The new mid-range camper will sellfor $47,900. What is the erosion cost?a. $6,250,000b. $18,100,000c. $53,750,000d. $93,150,000e. $118,789,500Difficulty level: MediumOCFe 48. Ernie’s E lectrical is evaluating a project which will increase sales by $50,000 andcosts by $30,000. The project will cost $150,000 and be depreciated straight-line to azero book value over the 10 year life of the project. The applicable tax rate is 34%.What is the operating cash flow for this project?a. $3,300b. $5,000c. $8,300d. $13,300e. $18,300Difficulty level: MediumOCFd 49. Kurt’s Kabinets is looking at a project that will require $80,000 in fixed assets andanother $20,000 in net working capital. The project is expected to produce sales of$110,000 with associated costs of $70,000. The project has a 4-year life. The companyuses straight-line depreciation to a zero book value over the life of the project. The taxrate is 35%. What is the operating cash flow for this project?a. $7,000b. $13,000c. $27,000d. $33,000e. $40,000Difficulty level: MediumBOTTOM-UP OCFc 50. Peter’s Boats has sales of $760,000 and a profit margin of 5%. The annualdepreciation expense is $80,000. What is the amount of the operating cash flow if thecompany has no long-term debt?a. $34,000b. $86,400c. $118,000d. $120,400e. $123,900Difficulty level: MediumBOTTOM-UP OCFd 51. Le Place has sales of $439,000, depreciation of $32,000, and net working capital of$56,000. The firm has a tax rate of 34% and a profit margin of 6%. Thefirm has no interest expense. What is the amount of the operating cash flow?a. $49,384b. $52,616c. $54,980d. $58,340e. $114,340Difficulty level: MediumTOP-DOWN OCFb 52. Ben’s Border Café is considering a project which will produce sales of $16,000 andincrease cash expenses by $10,000. If the project is implemented, taxes will increasefrom $23,000 to $24,500 and depreciation will increase from $4,000 to $5,500. Whatis the amount of the operating cash flow using the top-down approach?a. $4,000b. $4,500c. $6,000d. $7,500e. $8,500Difficulty level: MediumTOP-DOWN OCFc 53. Ronnie’s Coffee House i s considering a project which will produce sales of $6,000and increase cash expenses by $2,500. If the project is implemented, taxes willincrease by $1,300. The additional depreciation expense will be $1,000. An initial cashoutlay of $2,000 is required for net working capital. What is the amount of theoperating cash flow using the top-down approach?a. $200b. $1,500c. $2,200d. $3,500e. $4,200Difficulty level: MediumTAX SHIELD OCFc 54. A project will increase sales by $60,000 and cash expenses by $51,000. The projectwill cost $40,000 and be depreciated using straight-line depreciation to a zero bookvalue over the 4-year life of the project. The company has a marginal tax rate of 35%.What is the operating cash flow of the project using the tax shield approach?a. $5,850b. $8,650c. $9,350d. $9,700e. $10,350Difficulty level: MediumDEPRECIATION TAX SHIELDa 55. A project will increase sales by $140,000 and cash expenses by $95,000. The projectwill cost $100,000 and be depreciated using the straight-line method to a zero bookvalue over the 4-year life of the project. The company has a marginal tax rate of 34%.What is the value of the depreciation tax shield?a. $8,500b. $17,000c. $22,500d. $25,000e. $37,750Difficulty level: MediumMACRS DEPRECIATIONd 56. Sun Lee’s Furniture just purchased some fixed assets classified as 5-year property forMACRS. The assets cost $24,000. What is the amount of the depreciation expense forthe third year?MACRS 5-year propertyYear Rate1 20.00%2 32.00%3 19.20%4 11.52%5 11.52%6 5.76%a. $2,304b. $2,507c. $2,765d. $4,608e. $4,800Difficulty level: EasyMACRS DEPRECIATIONa 57. You just purchased some equipment that is classified as 5-year property for MACRS.The equipment cost $67,600. What will the book value of this equipment be at the endof three years should you decide to resell the equipment at that point in time?MACRS 5-year propertyYear Rate1 20.00%2 32.00%3 19.20%4 11.52%5 11.52%6 5.76%a. $19,468.80b. $20,280.20c. $27,040.00d. $48,131.20e. $48,672.00Difficulty level: MediumMACRS DEPRECIATIONd 58. LiCheng’s Enterprises just purchased some fixed assets that are classified as 3-yearproperty for MACRS. The assets cost $1,900. What is the amount of thedepreciation expense for year 2?MACRS 3-year propertyYear Rate1 33.33%2 44.44%3 14.82%4 7.41%a. $562.93b. $633.27c. $719.67d. $844.36e. $1,477.63Difficulty level: MediumMACRS DEPRECIATIONb 59. RP&A, Inc. purchased some fixed assets four years ago at a cost of $19,800. They nolonger need these assets so are going to sell them today at a price of $3,500. The assetsare classified as 5-year property for MACRS. What is the current book value of theseassets?MACRS 5-year propertyYear Rate1 20.00%2 32.00%3 19.20%4 11.52%5 11.52%6 5.76%a. $1,140.48b. $3,421.44c. $3,500.00d. $4,016.67e. $5,702.40Difficulty level: MediumSALVAGE VALUEa 60. You own some equipment which you purchased three years ago at a cost of $135,000.The equipment is 5-year property for MACRS. You are considering selling theequipment today for $82,500. Which one of the following statements is correct if yourtax rate is 34%?MACRS 5-year propertyYear Rate1 20.00%2 32.00%3 19.20%4 11.52%5 11.52%6 5.76%a. The tax due on the sale is $14,830.80.b. The book value today is $8,478.c. The book value today is $64,320.d. The taxable amount on the sale is $38,880.e. You will receive a tax refund of $13,219.20 as a result of this sale.。

公司理财习题答案第四章Chapter 4: Net Present Value4.1 a. $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 I nterest already earned. Therefore, the interest earnedin part c, $1,653.30, is more than double the amount earned in part a, $628.89.4.2 a. $1,000 / 1.17 = $513.16b. $2,000 / 1.1 = $1,818.18c. $500 / 1.18 = $233.254.3 You can make your decision by computing either the present value of the $2,000 that youcan receive in ten years, or the future value of the $1,000 that you can receive now.Present value: $2,000 / 1.0810 = $926.39Future value: $1,000 ⨯ 1.0810 = $2,158.93Either calculation indicates you should take the $1,000 now.4.4 Since this bond has no interim coupon payments, its present value is simply the presentvalue 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 = $92.304.5 PV = $1,500,000 / 1.0827 = $187,780.234.6 a. 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. Youshould 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. Youknow that rate must fall between 10% and 20% because the option you wouldchoose differs at these rates. Let r be the discount rate that makes you indifferentbetween 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%4.7 PV of Joneses’ offer = $150,000 / (1.1)3 = $112,697.22Since the PV of Joneses’ offer is less than Smiths’ offer, $115,000, you should chooseSmiths’ offer.4.8 a. P0 = $1,000 / 1.0820 = $214.55b. P10 = P0 (1.08)10 = $463.20c. P15 = P0 (1.08)15 = $680.594.9 The $1,000 that you place in the account at the end of the first year will earn interest for sixyears. The $1,000 that you place in the account at the end of the second year will earninterest 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= $6,714.614.10 PV = $5,000,000 / 1.1210 = $1,609,866.184.11 a. The cost of investment is $900,000.PV of cash inflows = $120,000 / 1.12 + $250,000 / 1.122 + $800,000 / 1.123= $875,865.52Since the PV of cash inflows is less than the cost of investment, you should notmake the investment.b. NPV = -$900,000 + $875,865.52= -$24,134.48c. NPV = -$900,000 + $120,000 / 1.11 + $250,000 / 1.112 + $800,000 / 1.113= $-4,033.18Since the NPV is still negative, you should not make the investment.4.12 NPV = -($340,000 + $10,000) + ($100,000 - $10,000) / 1.1+ $90,000 / 1.12 + $90,000 / 1.13 + $90,000 / 1.14 + $100,000 / 1.15= -$2,619.98Since the NPV is negative, you should not buy it.If the relevant cost of capital is 9 percent,NPV = -$350,000 + $90,000 / 1.09 + $90,000 / 1.092 + $90,000 / 1.093+ $90,000 / 1.094 + $100,000 / 1.095= $6,567.93Since the NPV is positive, you should buy it.4.13 a. Profit = PV of revenue - Cost = NPVNPV = $90,000 / 1.15 - $60,000 = -$4,117.08No, the firm will not make a profit.b. Find r that makes zero NPV.$90,000 / (1+r)5 - $60,000 = $0(1+r)5 = 1.5r = 0.08447 = 8.447%4.14 The future value of the decision to own your car for one year is the sum of the trade-invalue and the benefit from owning the car. Therefore, the PV of the decision to own thecar for one year is$3,000 / 1.12 + $1,000 / 1.12 = $3,571.43Since the PV of the roommate’s offer, $3,500, is lower than the aunt’s offer, you shouldaccept aunt’s offer.4.15 a. $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 = $1,271.25公司理财习题答案第四章e. The future value increases because of the compounding. The account is earninginterest on interest. Essentially, the interest is added to the account balance at theend of every compounding period. During the next period, the account earnsinterest on the new balance. When the compounding period shortens, the balancethat earns interest is rising faster.4.16 a. $1,000 e0.12 ⨯ 5 = $1,822.12b. $1,000 e0.1 ⨯ 3 = $1,349.86c. $1,000 e0.05 ⨯ 10 = $1,648.72d. $1,000 e0.07 ⨯ 8 = $1,750.674.17 PV = $5,000 / [1+ (0.1 / 4)]4 ⨯ 12 = $1,528.364.18 Effective annual interest rate of Bank America= [1 + (0.041 / 4)]4 - 1 = 0.0416 = 4.16%Effective annual interest rate of Bank USA= [1 + (0.0405 / 12)]12 - 1 = 0.0413 = 4.13%You should deposit your money in Bank America.4.19 The price of the consol bond is the present value of the coupon payments. Apply theperpetuity formula to find the present value. PV = $120 / 0.15 = $8004.20 Quarterly interest rate = 12% / 4 = 3% = 0.03Therefore, the price of the security = $10 / 0.03 = $333.334.21 The price at the end of 19 quarters (or 4.75 years) from today = $1 / (0.15 ÷ 4) = $26.67The current price = $26.67 / [1+ (.15 / 4)]19 = $13.254.22 a. $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 the perpetuity 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 = $20,000.4.23 The value at t = 8 is $120 / 0.1 = $1,200.Thus, the value at t = 5 is $1,200 / 1.13 = $901.58.4.24 P = $3 (1.05) / (0.12 - 0.05) = $45.004.25 P = $1 / (0.1 - 0.04) = $16.674.26 The first cash flow will be generated 2 years from today.The value at the end of 1 year from today = $200,000 / (0.1 - 0.05) = $4,000,000.Thus, PV = $4,000,000 / 1.1 = $3,636,363.64.4.27 A zero NPV-$100,000 + $50,000 / r = 0-r = 0.54.28 Apply the NPV technique. Since the inflows are an annuity you can use the present valueof an annuity factor.NPV = -$6,200 + $1,200 8A1.0= -$6,200 + $1,200 (5.3349)= $201.88Yes, you should buy the asset.4.29 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. Value at the end of year two = $2,000 20A08.0= $2,000 (9.8181)= $19,636.20The present value is simply that amount discounted back two years.PV = $19,636.20 / 1.082 = $16,834.884.30 The value of annuity at the end of year five= $500 15A = $500 (5.84737) = $2,923.6915.0The present value = $2,923.69 / 1.125 = $1,658.984.31 The easiest way to do this problem is to use the annuity factor. The annuity factor must beequal to $12,800 / $2,000 = 6.4; remember PV =C A t r. The annuity factors are in theappendix to the text. To use the factor table to solve this problem, scan across the rowlabeled 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%.公司理财习题答案第四章4.32 a. The annuity amount can be computed by first calculating the PV of the $25,000which you need in five years. That amount is $17,824.65 [= $25,000 / 1.075].Next compute the annuity which has the same present value.$17,824.65 = C 5A.007$17,824.65 = C (4.1002)C = $4,347.26Thus, putting $4,347.26 into the 7% account each year will provide $25,000 fiveyears 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 (seefootnote 14 of the text).4.33The amount of loan is $120,000 ⨯ 0.85 = $102,000.20C A= $102,000.010The amount of equal installments isC = $102,000 / 20A = $102,000 / 8.513564 = $11,980.8810.04.34 The present value of salary is $5,000 36A = $150,537.53.001The present value of bonus is $10,000 3A = $23,740.42 (EAR = 12.68% is used since.01268bonuses are paid annually.)The present value of the contract = $150,537.53 + $23,740.42 = $174,277.944.35 The amount of loan is $15,000 ⨯ 0.8 = $12,000.C 48A = $12,0000067.0The amount of monthly installments isC = $12,000 / 48A = $12,000 / 40.96191 = $292.960067.04.36 Option one: This cash flow is an annuity due. To value it, you must use the after-taxamounts. The after-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.Value = $115,200 + $115,200 30A10.0= $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-taxpayment is $72,759.60 [= $101,055 (1 - 0.28)].Value = $446,000 + $72,759.60 30A.010= $446,000 + $72,759.60 (9.4269)= $1,131,897.47Since option one has a higher PV, you should choose it.4.37 The amount of loan is $9,000. The monthly payment C is given by solving the equation: C 60008.0A = $9,000 C = $9,000 / 47.5042 = $189.46In October 2000, Susan Chao has 35 (= 12 ⨯ 5 - 25) monthly payments left, including the one due in October 2000.Therefore, the balance of the loan on November 1, 2000 = $189.46 + $189.46 34008.0A = $189.46 + $189.46 (29.6651) = $5,809.81Thus, the total amount of payoff = 1.01 ($5,809.81) = $5,867.91 4.38 Let r be the rate of interest you must earn. $10,000(1 + r)12 = $80,000 (1 + r)12 = 8 r = 0.18921 = 18.921%4.39 First compute the present value of all the payments you must make for your children’s education. The value as of one year before matriculation of one child’s education is$21,000 415.0A= $21,000 (2.8550) = $59,955. This 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 is PV = $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. Payment = $14,880.44 / 1515.0A = $14,880.44 / 5.8474 = $2,544.804.40 The NPV of the policy isNPV = -$750 306.0A - $800306.0A / 1.063 + $250,000 / [(1.066) (1.0759)] = -$2,004.76 - $1,795.45 + $3,254.33= -$545.88 Therefore, you should not buy the policy.4.41 The NPV of the lease offer isNPV = $120,000 - $15,000 - $15,000 908.0A - $25,000 / 1.0810= $105,000 - $93,703.32 - $11,579.84 = -$283.16 Therefore, you should not accept the offer.4.42 This 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]= $21,064.28 This is the present value of the payments, so the value forty years from today is $21,064.28 (1.0840) = $457,611.46公司理财习题答案第四章4.43 Use the discount factors to discount the individual cash flows. Then compute the NPV ofthe project. Notice that the four $1,000 cash flows form an annuity. You 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 PV 1 $700 0.9091 $636.37 2 900 0.8264 743.76 3 1,000 ⎤ 4 1,000 ⎥ 2.6198 2,619.80 5 1,000 ⎥ 6 1,000 ⎦ 7 1,250 0.5132 641.50 8 1,375 0.4665 641.44 Total $5,282.87NPV = -$5,000 + $5,282.87 = $282.87 Purchase the machine.4.44 Weekly inflation rate = 0.039 / 52 = 0.00075 Weekly interest rate = 0.104 / 52 = 0.002 PV = $5 [1 / (0.002 - 0.00075)] {1 – [(1 + 0.00075) / (1 + 0.002)]52 ⨯ 30} = $3,429.384.45 Engineer:NPV = -$12,000 405.0A + $20,000 / 1.055 + $25,000 / 1.056 - $15,000 / 1.057- $15,000 / 1.058 + $40,000 2505.0A / 1.058= $352,533.35 Accountant:NPV = -$13,000 405.0A + $31,000 3005.0A / 1.054= $345,958.81 Become an engineer.After your brother announces that the appropriate discount rate is 6%, you can recalculate the NPVs. Calculate them the same way as above except using the 6% discount rate. Engineer NPV = $292,419.47 Accountant NPV = $292,947.04Your brother made a poor decision. At a 6% rate, he should study accounting.4.46 Since Goose receives his first payment on July 1 and all payments in one year intervalsfrom July 1, the easiest approach to this problem is to discount the cash flows to July 1 then use the six month discount rate (0.044) to discount them the additional six months. PV = $875,000 / (1.044) + $650,000 / (1.044)(1.09) + $800,000 / (1.044)(1.092) + $1,000,000 / (1.044)(1.093) + $1,000,000/(1.044)(1.094) + $300,000 / (1.044)(1.095)+ $240,000 1709.0A / (1.044)(1.095) + $125,000 1009.0A / (1.044)(1.0922) = $5,051,150Remember that the use of annuity factors to discount the deferred payments yields the value of the annuity stream one period prior to the first payment. Thus, the annuity factor applied to the first set of deferred payments gives the value of those payments on July 1 of 1989. Discounting by 9% for five years brings the value to July 1, 1984. The use of the six month discount rate (4.4%) brings the value of the payments to January 1, 1984. Similarly, the annuity factor applied to the second set of deferred payments yields the value of those payments in 2006. Discounting for 22 years at 9% and for six months at 4.4% provides the value at January 1, 1984.The equivalent five-year, annual salary is the annuity that solves: $5,051,150 = C 509.0A C = $5,051,150/3.8897C = $1,298,596The student must be aware of possible rounding errors in this problem. The differencebetween 4.4% semiannual and 9.0% and for six months at 4.4% provides the value at January 1, 1984. 4.47 PV = $10,000 + ($35,000 + $3,500) [1 / (0.12 - 0.04)] [1 - (1.04 / 1.12) 25 ]= $415,783.604.48 NPV = -$40,000 + $10,000 [1 / (0.10 - 0.07)] [1 - (1.07 / 1.10)5 ] = $3,041.91 Revise the textbook.4.49The amount of the loan is $400,000 (0.8) = $320,000 The monthly payment is C = $320,000 / 3600067.0.0A = $ 2,348.10 Thirty years of payments $ 2,348.10 (360) = $ 845,316.00 Eight years of payments $2,348.10 (96) = $225,417.60 The difference is the balloon payment of $619,898.404.50 The lease payment is an annuity in advanceC + C 2301.0A = $4,000 C (1 + 20.4558) = $4,000 C = $186.424.51 The effective annual interest rate is[ 1 + (0.08 / 4) ] 4 – 1 = 0.0824The present value of the ten-year annuity is PV = 900 100824.0A = $5,974.24 Four remaining discount periodsPV = $5,974.24 / (1.0824) 4 = $4,352.43公司理财习题答案第四章4.52The present value of Ernie’s retirement incomePV = $300,000 20A / (1.07) 30 = $417,511.5407.0The present value of the cabinPV = $350,000 / (1.07) 10 = $177,922.25The present value of his savingsPV = $40,000 10A = $280,943.26.007In present value terms he must save an additional $313,490.53 In future value termsFV = $313,490.53 (1.07) 10 = $616,683.32He must saveC = $616.683.32 / 20A = $58,210.5407.0。

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==..。

- --- . -word资料- CHAPTER 2Financial Statements & Cash Flow Multiple Choice Questions:I. DEFINITIONSBALANCE SHEETb 1. The financial statement showing a firm’s accounting value on a particulardate is the:a. income statement.b. balance sheet.c. statement of cash flows.d. tax reconciliation statement.e. shareholders’ equity sheet.Difficulty level: EasyCURRENT ASSETSc 2. A current asset is:a. an item currently owned by the firm.b. an item that the firm expects to own within the next year.c. an item currently owned by the firm that will convert to cash within the next12 months.d. the amount of cash on hand the firm currently shows on its balance sheet.e. the market value of all items currently owned by the firm.Difficulty level: EasyLONG-TERM DEBTb 3. The long-term debts of a firm are liabilities:a. that come due within the next 12 months.b. that do not come due for at least 12 months.c. owed to the firm’s suppliers.d. owed to the firm’s shareholders.e. the firm expects to incur within the next 12 months.Difficulty level: EasyNET WORKING CAPITALe 4. Net working capital is defined as:a. total liabilities minus shareholders’ equity.b. current liabilities minus shareholders’ equity.c. fixed assets minus long-term liabilities.d. total assets minus total liabilities.e. current assets minus current liabilities.Difficulty level: EasyLIQUID ASSETSd 5. A(n) ____ asset is one which can be quickly converted into cash withoutsignificant loss in value.a. currentb. fixedc. intangibled. liquide. long-termDifficulty level: EasyINCOME STATEMENTa 6. The financial statement summarizing a firm’s performance over a period oftime is the:a. income statement.b. balance sheet.c. statement of cash flows.d. tax reconciliation statement.e. shareholders’ equity sheet.Difficulty level: EasyNONCASH ITEMSd 7. Noncash items refer to:a. the credit sales of a firm.b. the accounts payable of a firm.c. the costs incurred for the purchase of intangible fixed assets.d. expenses charged against revenues that do not directly affect cash flow.e. all accounts on the balance sheet other than cash on hand.Difficulty level: EasyMARGINAL TAX RATESe 8. Your _____ tax rate is the amount of tax payable on the next taxable dollaryou earn.a. deductibleb. residualc. totald. averagee. marginalDifficulty level: EasyAVERAGE TAX RATESd 9. Your _____ tax rate measures the total taxes you pay divided by your taxableincome.a. deductibleb. residualc. totald. averagee. marginalDifficulty level: EasyCASH FLOW FROM OPERATING ACTIVITIESa 10. _____ refers to the cash flow that results from the firm’s ongoing, normalbusiness activities.a. Cash flow from operating activitiesb. Capital spendingc. Net working capitald. Cash flow from assetse. Cash flow to creditorsDifficulty level: MediumCASH FLOW FROM INVESTINGb 11. _____ refers to the changes in net capital assets.a. Operating cash flowb. Cash flow from investingc. Net working capitald. Cash flow from assetse. Cash flow to creditorsDifficulty level: MediumNET WORKING CAPITALc 12. _____ refers to the difference between a firm’s current assets and its currentliabilities.a. Operating cash flowb. Capital spendingc. Net working capitald. Cash flow from assetse. Cash flow to creditorsDifficulty level: EasyCASH FLOW OF OPERATIONSd 13. _____ refers to the net total cash flow of the firm available for distributionto its creditors and stockholders.a. Operating cash flowb. Capital spendingc. Net working capitald. Cash flow from operationse. Cash flow to creditorsCASH FLOW TO CREDITORSe 14. _____ refers to the firm’s interest payments less any net new borrowing.a. Operating cash flowb. Capital spendingc. Net working capitald. Cash flow from shareholderse. Cash flow to creditorsCASH FLOW TO STOCKHOLDERSe 15. _____ refers to the firm’s dividend payments less any net new equity raised.a. Operating cash flowb. Capital spendingc. Net working capitald. Cash flow from creditorse. Cash flow to stockholdersEARNINGS PER SHAREa 16. Earnings per share is equal to:a. net income divided by the total number of shares outstanding.b. net income divided by the par value of the common stock.c. gross income multiplied by the par value of the common stock.d. operating income divided by the par value of the common stock.e. net income divided by total shareholders’ equity.DIVIDENDS PER SHAREb 17. Dividends per share is equal to dividends paid:a. divided by the par value of common stock.b. divided by the total number of shares outstanding.c. divided by total shareholders’ equity.d. multiplied by the par value of the common stock.e. multiplied by the total number of shares outstanding.II. CONCEPTSCURRENT ASSETSa 18. Which of the following are included in current assets?I. equipmentII. inventoryIII. accounts payableIV. casha. II and IV onlyb. I and III onlyc. I, II, and IV onlyd. III and IV onlye. II, III, and IV onlyCURRENT LIABILITIESb 19. Which of the following are included in current liabilities?I. note payable to a supplier in eighteen monthsII. debt payable to a mortgage company in nine monthsIII. accounts payable to suppliersIV. loan payable to the bank in fourteen monthsa. I and III onlyb. II and III onlyc. III and IV onlyd. II, III, and IV onlye. I, II, and III onlyBALANCE SHEETd 20. An increase in total assets:a.means that net working capital is also increasing.b.requires an investment in fixed assets.c.means that shareholders’ equity must also increase.d.must be offset by an equal increase in liabilities and shareholders’ equity.e.can only occur when a firm has positive net income.LIQUIDITYc 21. Which one of the following accounts is generally the most liquid?a. inventoryb.buildingc.accounts receivabled.equipmente.patentLIQUIDITYe 22. Which one of the following statements concerning liquidity is correct?a.If you sold an asset today, it is a liquid asset.b.If you can sell an asset next year at a price equal to its actual value, theasset is highly liquid.c.Trademarks and patents are highly liquid.d.The less liquidity a firm has, the lower the probability the firm will encounterfinancialdifficulties.e.Balance sheet accounts are listed in order of decreasing liquidity. LIQUIDITYd 23. Liquidity is:a. a measure of the use of debt in a firm’s capital structure.b.equal to current assets minus current liabilities.c.equal to the market value of a firm’s total assets minus its current liabilities.d.valuable to a firm even though liquid assets tend to be less profitable to own.e.generally associated with intangible assets.SHAREHOLDERS’ EQUITYd 24. Which of the following accounts are included in shareholders’ equity?I. interest paidII. retained earningsIII. capital surplusIV. long-term debta. I and II onlyb. II and IV onlyc. I and IV onlyd. II and III onlye. I and III onlyBOOK VALUEb 25. Book value:a. is equivalent to market value for firms with fixed assets.b.is based on historical cost.c.generally tends to exceed market value when fixed assets are included.d.is more of a financial than an accounting valuation.e.is adjusted to market value whenever the market value exceeds the statedbook value.MARKET VALUEa 26. When making financial decisions related to assets, you should:a.always consider market values.b.place more emphasis on book values than on market values.c.rely primarily on the value of assets as shown on the balance sheet.d.place primary emphasis on historical costs.e.only consider market values if they are less than book values.INCOME STATEMENTd 27. As seen on an income statement:a.interest is deducted from income and increases the total taxes incurred.b.the tax rate is applied to the earnings before interest and taxes when thefirm has both depreciation and interest expenses.c.depreciation is shown as an expense but does not affect the taxes payable.d.depreciation reduces both the pretax income and the net income.e.interest expense is added to earnings before interest and taxes to get pretaxincome.EARNINGS PER SHAREa 28. The earnings per share will:a. increase as net income increases.b.increase as the number of shares outstanding increase.c.decrease as the total revenue of the firm increases.d.increase as the tax rate increases.e.decrease as the costs decrease.DIVIDENDS PER SHAREe 29. Dividends per share:a. increase as the net income increases as long as the number of sharesoutstanding remains constant.b.decrease as the number of shares outstanding decrease, all else constant.c.are inversely related to the earnings per share.d.are based upon the dividend requirements established by Generally AcceptedAccounting Procedures.e.are equal to the amount of net income distributed to shareholders divided bythe number of shares outstanding.REALIZATION PRINCIPLEb 30. According to Generally Accepted Accounting Principles,a.income is recorded based on the matching principle.b.income is recorded based on the realization principle.c.costs are recorded based on the liquidity principle. income is recorded based on the realization principle.e.depreciation is recorded as it affects the cash flows of a firm.MATCHING PRINCIPLEc 31. According to Generally Accepted Accounting Principles, costs are:a. recorded as incurred.b. recorded when paid.c. matched with revenues.d. matched with production levels.e. expensed as management desires.NONCASH ITEMSa 32. Depreciation:a. is a noncash expense that is recorded on the income statement.b.increases the net fixed assets as shown on the balance sheet.c.reduces both the net fixed assets and the costs of a firm.d.is a non-cash expense which increases the net operating income.e.decreases net fixed assets, net income, and operating cash flows. MARGINAL TAX RATEc 33. When you are making a financial decision, the most relevant tax rate is the_____ rate.a. averageb.fixedc.marginald.totale.variableOPERATING CASH FLOWa 34. An increase in which one of the following will cause the operating cash flowto increase?a. depreciationb.change in net working capital working capitald.taxese.costsCHANGE IN NET WORKING CAPITALe 35. A firm starts its year with a positive net working capital. During the year, thefirm acquires more short-term debt than it does short-term assets. Thismeans that:a. the ending net working capital will be negative.b. both accounts receivable and inventory decreased during the year.c. the beginning current assets were less than the beginning current liabilities.d. accounts payable increased and inventory decreased during the year.e. the ending net working capital can be positive, negative, or equal to zero. CASH FLOW TO CREDITORSc 36. The cash flow to creditors includes the cash:a.received by the firm when payments are paid to suppliers.b.outflow of the firm when new debt is acquired.c. outflow when interest is paid on outstanding debt.d. inflow when accounts payable decreases.e. received when long-term debt is paid off.CASH FLOW TO STOCKHOLDERSa 37. Cash flow to stockholders must be positive when:a.the dividends paid exceed the net new equity raised.b.the net sale of common stock exceeds the amount of dividends paid.c.no income is distributed but new shares of stock are sold.d.both the cash flow to assets and the cash flow to creditors are negative.e.both the cash flow to assets and the cash flow to creditors are positive. BALANCE SHEETb 38. Which equality is the basis for the balance sheet?a. Fixed Assets = Stockholder's Equity + Current Assetsb. Assets = Liabilities + Stockholder's Equityc. Assets = Current Long-Term Debt + Retained Earningsd. Fixed Assets = Liabilities + Stockholder's Equitye. None of the above.BALANCE SHEETa 39. Assets are listed on the balance sheet in order of:a. decreasing liquidity.b. decreasing size.c. increasing size.d. relative life.e. None of the above.DEBTe 40. Debt is a contractual obligation that:a. requires the payout of residual flows to the holders of these instruments.b. requires a repayment of a stated amount and interest over the period.c. allows the bondholders to sue the firm if it defaults.d. Both A and B.e. Both B and C.CARRYING VALUEa 41. The carrying value or book value of assets:a. is determined under GAAP and is based on the cost of the asset.b. represents the true market value according to GAAP.c. is always the best measure of the company's value to an investor.d. is always higher than the replacement cost of the assets.e. None of the above.GAAPd 42. Under GAAP, the value of all the firm's assets are reported at:a. market value.b. liquidation value.c. intrinsic value.d. cost.e. None of the above.INCOME STATEMENTe 43. Which of the following statements concerning the income statement is true?a. It measures performance over a specific period of time.b. It determines after-tax income of the firm.c. It includes deferred taxes.d. It treats interest as an expense.e. All of the above.GAAP INCOME RECOGNITIONb 44. According generally accepted accounting principles (GAAP), revenue isrecognized as income when:a. a contract is signed to perform a service or deliver a good.b. the transaction is complete and the goods or services are delivered.c. payment is requested.d. income taxes are paid.e. All of the above.OPERATING CASH FLOWb 45. Which of the following is not included in the computation of operating cashflow?a. Earnings before interest and taxesb. Interest paidc. Depreciationd. Current taxese. All of the above are included.NET CAPITAL SPENDINGb 46. Net capital spending is equal to:a. net additions to net working capital.b. the net change in fixed assets.c. net income plus depreciation.d. total cash flow to stockholders less interest and dividends paid.e. the change in total assets.CASH FLOW TO STOCKHOLDERSd 47. Cash flow to stockholders is defined as:a. interest payments.b. repurchases of equity less cash dividends paid plus new equity sold.c. cash flow from financing less cash flow to creditors.d. cash dividends plus repurchases of equity minus new equity financing.e. None of the above.FREE CASH FLOWd 48. Free cash flow is:a. without cost to the firm.b. net income plus taxes.c. an increase in net working capital.d. cash flow in excess of that required to fund profitable capital projects.e. None of the above.CASH FLOWd 49. The cash flow of the firm must be equal to:a. cash flow to equity minus cash flow to debtholders.b. cash flow to debtholders minus cash flow to equity.c. cash flow to governments plus cash flow to equity.d. cash flow to equity plus cash flow to debtholders.e. None of the above.STATEMENT OF CASH FLOWSa 50. Which of the following are all components of the statement of cash flows?a. Cash flow from operating activities, cash flow from investing activities, andcash flow from financing activitiesb. Cash flow from operating activities, cash flow from investing activities, andcashflow from divesting activitiesc. Cash flow from internal activities, cash flow from external activities, andcash flow from financing activitiesd. Cash flow from brokering activities, cash flow from profitable activities, andcash flow from non-profitable activitiese. None of the above.III. PROBLEMSCURRENT ASSETSb 51. A firm has $300 in inventory, $600 in fixed assets, $200 in accountsreceivables, $100 in accounts payable, and $50 in cash. What is the amountof the current assets?a. $500b. $550c. $600d. $1,150e. $1,200NET WORKING CAPITALb 52. The total assets are $900, the fixed assets are $600, long-term debt is $500,and short-term debt is $200. What is the amount of net working capital?a. $0b. $100c. $200d. $300e. $400LIQUIDITYd 53. Brad’s Company has equipme nt with a book value of $500 that could be soldtoday at a 50 percent discount. Their inventory is valued at $400 and couldbe sold to a competitor for that amount. The firm has $50 in cash andcustomers owe them $300. What is the accounting value of their liquid assets?a. $50b. $350c. $700d. $750e. $1,000BOOK VALUEc 54. Martha’s Enterprises spent $2,400 to purchase equipment three years ago.This equipment is currently valued at $1,800 on today’s balance sheet butcould actually be sold for $2,000. Net working capital is $200 and long-termdebt is $800. What is the book value of shareholders’ equity?a.$200b.$800c.$1,200d.$1,400e. The answer cannot be determined from the information provided.NET INCOMEb 55. Art’s Boutique has sales of $640,000 an d costs of $480,000. Interest expenseis $40,000 and depreciation is $60,000. The tax rate is 34%. What is the netincome?a. $20,400b. $39,600c. $50,400d. $79,600e. $99,600MARGINAL TAX RATEc 56. Given the tax rates as shown, what is the average tax rate for a firm withtaxable income of $126,500?Taxable Income Tax Rate$ 0 - 50,000 15%50,001 - 75,000 25%75,001 - 100,000 34%100,001 - 335,000 39%a.21.38 percentb.23.88 percentc.25.76 percentd.34.64 percente. 39.00 percentTAXESd 57. The tax rates are as shown. Your firm currently has taxable income of$79,400. How much additional tax will you owe if you increase your taxableincome by $21,000?Taxable Income Tax Rate50,001 - 75,000 25%75,001 - 100,000 34%100,001 - 335,000 39%a.$7,004b.$7,014c.$7,140d.$7,160e.$7,174OPERATING CASH FLOWd 58. Your firm has net income of $198 on total sales of $1,200. Costs are $715 anddepreciation is $145. The tax rate is 34 percent. The firm does not haveinterest expenses. What is the operating cash flow?a.$93b.$241c.$340d.$383e. $485NET CAPITAL SPENDINGc. 59. Teddy’s Pillows has beginning net fixed assets of $480 and ending net fixedassets of $530. Assets valued at $300 were sold during the year. Depreciationwas $40. What is the amount of capital spending?a.$10b.$50c.$90d.$260e.$390CHANGE IN NET WORKING CAPITALb 60. At the beginning of the year, a firm has current assets of $380 and currentliabilities of $210. At the end of the year, the current assets are $410 and thecurrent liabilities are $250. What is the change in net working capital?a.-$30b.-$10c.$0d.$10e. $30CASH FLOW TO CREDITORSe 61. At the beginning of the year, long-term debt of a firm is $280 and total debtis $340. At the end of the year, long-term debt is $260 and total debt is $350.The interest paid is $30. What is the amount of the cash flow to creditors?a.-$50b.-$20c.$20d.$30e. $50CASH FLOW TO CREDITORSa 62. Pete’s Boats has beginning long-term debt of $180 and ending long-term debtof $210. The beginning and ending total debt balances are $340 and $360,respectively. The interest paid is $20. What is the amount of the cash flow tocreditors?a.-$10b.$0c.$10d.$40e. $50CASH FLOW TO STOCKHOLDERSa 63. Peggy Grey’s Cookies has net income of $360. The firm pays out 40 percent ofthe net income to its shareholders as dividends. During the year, thecompany sold $80 worth of common stock. What is the cash flow tostockholders?a.$64b.$136c.$144d.$224e. $296CASH FLOW TO STOCKHOLDERSa 64. Thompson’s Jet Skis has operating cash flow of $218. Depreciation is $45 andinterest paid is $35. A net total of $69 was paid on long-term debt. The firmspent $180 on fixed assets and increased net working capital by $38. What isthe amount of the cash flow to stockholders?a.-$104b.-$28c.$28d.$114e. $142The following balance sheet and income statement should be used for questions#65 through #71:Nabors, Inc.2005 Income Statement($ in millions)Net sales $9,610Less: Cost of goods sold 6,310Less: Depreciation 1,370Earnings before interest and taxesLess: Interest paid 630Taxable Income $1,300Less: Taxes 455Net income $ 845Nabors, Inc.2004 and 2005 Balance Sheets($ in millions)2004 2005 2004 2005 Cash $ 310 $ 405 Accounts payable $ 2,720 $ 2,570 Accounts rec. 2,640 3,055 Notes payable 100 0 Inventory 3,275 3,850 Total $ 2,820 $ 2,570 Total $ 6,225 $ 7,310 Long-term debt 7,875 8,100Net fixed assets 10,960 10,670 Common stock 5,000 5,250Retained earnings 1,490 2,060 Total assets $17,185 $17,980 Total liab.& equity $17,185 $17,980 CHANGE IN NET WORKING CAPITALc 65. What is the change in the net working capital from 2004 to 2005?a.$1,235b.$1,035c.$1,335d.$3,405e.$4,740NONCASH EXPENSESd 66. What is the amount of the non-cash expenses for 2005?a.$570b.$630c.$845d.$1,370e. $2,000NET CAPITAL SPENDINGc 67. What is the amount of the net capital spending for 2005?a.-$290b.$795c.$1,080d.$1,660e.$2,165OPERATING CASH FLOWd 68. What is the operating cash flow for 2005?a.$845b.$1,930c.$2,215d.$2,845e.$3,060CASH FLOW OF THE FIRMa 69. What is the cash flow of the firm for 2005?a.$430b.$485c.$1,340d.$2,590e.$3,100NET NEW BORROWINGe 70. What is the amount of net new borrowing for 2005?a.-$225b.-$25c.$0d.$25e.$225CASH FLOW TO CREDITORSd 71. What is the cash flow to creditors for 2005?a.-$405b.-$225c.$225d.$405e.$630The following information should be used for questions #72 through #79:Knickerdoodles, Inc.2004 2005Sales $ 740 $ 785COGS 430 460Interest 33 35Dividends 16 17Depreciation 250 210Cash 70 75Accounts receivables 563 502Current liabilities 390 405Inventory 662 640Long-term debt 340 410Net fixed assets 1,680 1,413Common stock 700 235Tax rate 35% 35%NET WORKING CAPITALd 72. What is the net working capital for 2005?a.$345b.$405c.$805d.$812e.$1,005CHANGE IN NET WORKING CAPITALa 73. What is the change in net working capital from 2004 to 2005?a.-$93b.-$7c.$7d.$85e.$97NET CAPITAL SPENDINGb 74. What is net capital spending for 2005?a.-$250b.-$57c.$0d.$57e.$477OPERATING CASH FLOWb 75. What is the operating cash flow for 2005?a.$143b.$297c.$325d.$353e.$367CASH FLOW OF THE FIRMd 76. What is the cash flow of the firm for 2005?a.$50b.$247c.$297d.$447e.$517NET NEW BORROWINGd 77. What is net new borrowing for 2005?a.-$70b.-$35c.$35d.$70e.$105CASH FLOW TO CREDITORSb 78. What is the cash flow to creditors for 2005?a.-$170b.-$35c.$135d.$170e.$205CASH FLOW TO STOCKHOLDERSd 79. What is the cash flow to stockholders for 2005?a.$408b.$417c.$452d.$482e.$503The following information should be used for questions #80 through #82:2005Cost of goods sold $3,210Interest $215Dividends $160Depreciation $375Change in retained earnings $360Tax rate 35%TAXABLE INCOMEe 80. What is the taxable income for 2005?a.$360b.$520c.$640d.$780e.$800OPERATING CASH FLOWd 81. What is the operating cash flow for 2005?a.$520b.$800c.$1,015d.$1,110e.$1,390SALESc 82. What are the sales for 2005?a.$4,225b.$4,385c.$4,600d.$4,815e. $5,000NET INCOMEb 83. Calculate net income based on the following information. Sales are $250;Cost of goods sold is $160; Depreciation expense is $35; Interest paid is $20;and the tax rate is 34%.a. $11.90b. $23.10c. $35.00d. $36.30e. $46.20IV. ESSAYSLIQUID ASSETS84. What is a liquid asset and why is it necessary for a firm to maintain a reasonablelevel of liquid assets?Liquid assets are those that can be sold quickly with little or no loss in value. A firm that has sufficient liquidity will be less likely to experience financial distress. OPERATING CASH FLOW85. Why is interest expense excluded from the operating cash flow calculation?Operating cash flow is designed to represent the cash flow a firm generates from its day-to-day operating activities. Interest expense arises out of a financing choice and thus should be considered as a cash flow to creditors.CASH FLOW AND ACCOUNTING STATEMENTS86. Explain why the income statement is not a good representation of cash flow.Most income statements contain some noncash items, so these must be accounted for when calculating cash flows. More importantly, however, since GAAP is used to create income statements, revenues and expenses are booked when they accrue, not when their corresponding cash flows occur.BOOK VALUE AND MARKET VALUE87. Discuss the difference between book values and market values on the balancesheet and explain which is more important to the financial manager and why.The accounts on the balance sheet are generally carried at historical cost, not market values. Although the book value of current assets and current liabilities may closely approximate market values, the same cannot be said for the rest of the balance sheet accounts. Ultimately, the financial manager should focus on the firm’s stock price, which is a market value measure. Hence, market values are more meaningful than book values.ADDITION TO RETAINED EARNINGS88. Note that in all of our cash flow computations to determine cash flow of the firm,we never include the addition to retained earnings. Why not? Is this an oversight?The addition to retained earnings is not a cash flow. It is simply an accounting entry that reconciles the balance sheet. Any additions to retained earnings will show up as cash flow changes in other balance sheet accounts.DEPRECIATION AND CASH FLOW89. Note that we added depreciation back to operating cash flow and to additions tofixed assets. Why add it back twice? Isn’t this double-counting?In both cases, depreciation is added back because it was previously subtracted when obtaining ending balances of net income and fixed assets. Also, since depreciation is a noncash expense, we need to add it back in both instances, so there is no double counting.TAX LIABILITIES AND CASH FLOW90. Sometimes when businesses are critically delinquent on their tax liabilities, thetax authority comes in and literally seizes the business by chasing all of the employees out of the building and changing the locks. What does this tell you about the importance of taxes relative to our discussion of cash flow? Why might a business owner want to avoid such an occurrence?Taxes must be paid in cash, and in this case, they are one of the most important components of cash flow. The reputation of a business can undergo irreparable harm if word gets out that the tax authorities have confiscated the business, even if only for a couple of hours until the business owner can come up with the money to clear up the tax problem. The bottom line is if the owner can’t come up with the cash, the tax authority has effectively put them out of business. CASH FLOW OF THE FIRM94. Interpret, in words, what cash flow of the firm represents by discussing operatingcash flow, changes in net working capital, and additions to fixed assets.Operating cash flow is the cash flow a firm generates from its day-to-day operations. In other words, it is the cash inflow generated as a result of putting the firm’s assets to work. Changes in net working capital and fixe d assets represent investments a firm makes in these assets. That is, a firm typically takes some of the cash flow it generates from using assets and reinvests it in new assets. Cash flow of the firm, then, is the cash flow a firm generates by employing its assets, net of any acquisitions.。

CHAPTER 7Net Present Value and Other Investment Rules Multiple Choice Questions:I. DEFINITIONSNET PRESENT VALUEa 1. The difference between the present value of an investment and its cost is the:a. net present value.b. internal rate of return.c. payback period.d. profitability index.e. discounted payback period.Difficulty level: EasyNET PRESENT VALUE RULEc 2. Which one of the following statements concerning net present value (NPV) is correct?a. An investment should be accepted if, and only if, the NPV is exactlyequal to zero.b. An investment should be accepted only if the NPV is equal to the initialcash flow.c. An investment should be accepted if the NPV is positive and rejected ifit is negative.d. An investment with greater cash inflows than cash outflows, regardlessof when the cash flows occur, will always have a positive NPV andtherefore should always be accepted.e. Any project that has positive cash flows for every time period after theinitial investment should be accepted.Difficulty level: EasyPAYBACKc 3. The length of time required for an investment to generate cash flowssufficient to recover the initial cost of the investment is called the:a. net present value.b. internal rate of return.c. payback period.d. profitability index.e. discounted cash period.Difficulty level: EasyPAYBACK RULEa 4. Which one of the following statements is correct concerning thepayback period?a. An investment is acceptable if its calculated payback period is less thansome pre-specified period of time.b. An investment should be accepted if the payback is positive andrejected if it is negative.c. An investment should be rejected if the payback is positive andaccepted if it is negative.d. An investment is acceptable if its calculated payback period is greaterthan some pre-specified period of time.e. An investment should be accepted any time the payback period is lessthan the discounted payback period, given a positive discount rate.Difficulty level: EasyDISCOUNTED PAYBACKe 5. The length of time required for a project’s discounted cash flows toequal the initial cost of the project is called the:a. net present value.b. internal rate of return.c. payback period.d. discounted profitability index.e. discounted payback period.Difficulty level: EasyDISCOUNTED PAYBACK RULEd 6. The discounted payback rule states that you should accept projects:a. which have a discounted payback period that is greater than some pre-specified period of time.b. if the discounted payback is positive and rejected if it is negative.c. only if the discounted payback period equals some pre-specified periodof time.d. if the discounted payback period is less than some pre-specified periodof time.e. only if the discounted payback period is equal to zero.Difficulty level: EasyAVERAGE ACCOUNTING RETURNc 7. An investment’s average net income divided by its average book valuedefines the average:a. net present value.b. internal rate of return.c. accounting return.d. profitability index.e. payback period.Difficulty level: EasyAVERAGE ACCOUNTING RETURN RULEb 8. An investment is acceptable if its average accounting return (AAR):a. is less than a target AAR.b. exceeds a target AAR.c. exceeds the firm’s return on equity (ROE).d. is less than the firm’s return on assets (ROA).e. is equal to zero and only when it is equal to zero.Difficulty level: EasyINTERNAL RATE OF RETURNb. 9. The discount rate that makes the net present value of an investmentexactly equal tozero is called the:a. external rate of return.b. internal rate of return.c. average accounting return.d. profitability index.e. equalizer.Difficulty level: EasyINTERNAL RATE OF RETURN RULEd 10. An investment is acceptable if its IRR:a. is exactly equal to its net present value (NPV).b. is exactly equal to zero.c. is less than the required return.d. exceeds the required return.e. is exactly equal to 100 percent.Difficulty level: EasyMULTIPLE RATES OF RETURNe 11. The possibility that more than one discount rate will make the NPV ofan investment equal to zero is called the _____ problem.a. net present value profilingb. operational ambiguityc. mutually exclusive investment decisiond. issues of scalee. multiple rates of returnDifficulty level: MediumMUTUALLY EXCLUSIVE PROJECTSc 12. A situation in which accepting one investment prevents the acceptanceof another investment is called the:a. net present value profile.b. operational ambiguity decision.c. mutually exclusive investment decision.d. issues of scale problem.e. multiple choices of operations decision.Difficulty level: EasyPROFITABILITY INDEXd. 13. The present value of an investment’s future cash flows divided by theinitial cost of the investment is called the:a. net present value.b. internal rate of return.c. average accounting return.d. profitability index.e. profile period.Difficulty level: EasyPROFITABILITY INDEX RULEa 14. An investment is acceptable if the profitability index (PI) of theinvestment is:a. greater than one.b. less than one.c. greater than the internal rate of return (IRR).d. less than the net present value (NPV).e. greater than a pre-specified rate of return.Difficulty level: EasyII. CONCEPTSNET PRESENT VALUEd 15. All else constant, the net present value of a project increases when:a. the discount rate increases.b. each cash inflow is delayed by one year.c. the initial cost of a project increases.d. the rate of return decreases.e. all cash inflows occur during the last year of a project’s life instead ofperiodically throughout the life of the project.Difficulty level: EasyNET PRESENT VALUEa 16. The primary reason that company projects with positive net present values areconsidered acceptable is that:a. they create value for the owners of the firm.b. the project’s rate of return exceeds the rate of inflation.c. they return the initial cash outlay within three years or less.d. the required cash inflows exceed the actual cash inflows.e. the investment’s cost exceeds the present value of the cash inflows.Difficulty level: EasyNET PRESENT VALUEd 17. If a project has a net present value equal to zero, then:I. the present value of the cash inflows exceeds the initial cost of the project.II. the project produces a rate of return that just equals the rate required to accept theproject.III. the project is expected to produce only the minimally required cash inflows.IV. any delay in receiving the projected cash inflows will cause the project to have a negative net present value.a. II and III onlyb. II and IV onlyc. I, II, and IV onlyd. II, III, and IV onlye. I, II, and III onlyDifficulty level: MediumNET PRESENT VALUEb 18. Net present value:a. cannot be used when deciding between two mutually exclusive projects.b. is more useful to decision makers than the internal rate of return when comparingdifferent sized projects.c. is easy to explain to non-financial managers and thus is the primary method of analysisused by the lowest levels of management.d. is not an as widely used tool as payback and discounted paybacke. is very similar in its methodology to the average accounting return.Difficulty level: EasyPAYBACKc 19. Payback is frequently used to analyze independent projects because:a. it considers the time value of money.b. all relevant cash flows are included in the analysis.c. it is easy and quick to calculate.d. it is the most desirable of all the available analytical methods from a financialperspective.e. it produces better decisions than those made using either NPV or IRR.Difficulty level: EasyPAYBACKc 20. The advantages of the payback method of project analysis include the:I. application of a discount rate to each separate cash flow.II. bias towards liquidity.III. ease of use.IV. arbitrary cutoff point.a. I and II onlyb. I and III onlyc. II and III onlyd. II and IV onlye. II, III, and IV onlyDifficulty level: MediumPAYBACKd 21. All else equal, the payback period for a project will decrease whenever the:a. initial cost increases.b. required return for a project increases.c. assigned discount rate decreases.d. cash inflows are moved forward in time.e. duration of a project is lengthened.Difficulty level: MediumDISCOUNTED PAYBACKd 22. The discounted payback period of a project will decrease whenever the:a. discount rate applied to the project is increased.b. initial cash outlay of the project is increased.c. time period of the project is increased.d. amount of each project cash flow is increased.e. costs of the fixed assets utilized in the project increase.Difficulty level: MediumDISCOUNTED PAYBACKa 23. The discounted payback rule may cause:a. some positive net present value projects to be rejected.b. the most liquid projects to be rejected in favor of less liquid projects.c. projects to be incorrectly accepted due to ignoring the time value of money.d. projects with negative net present values to be accepted.e. some projects to be accepted which would otherwise be rejected under the paybackrule.Difficulty level: EasyINTERNAL RATE OF RETURNb 24. The internal rate of return (IRR):I. rule states that a project with an IRR that is less than the required rate should beaccepted.II. is the rate generated solely by the cash flows of an investment.III. is the rate that causes the net present value of a project to exactly equal zero.IV. can effectively be used to analyze all investment scenarios.a. I and IV onlyb. II and III onlyc. I, II, and III onlyd. II, III, and IV onlye. I, II, III, and IVDifficulty level: MediumINTERNAL RATE OF RETURNa 25. The internal rate of return for a project will increase if:a. the initial cost of the project can be reduced.b. the total amount of the cash inflows is reduced.c. each cash inflow is moved such that it occurs one year later than originally projected.d. the required rate of return is reduced.e. the salvage value of the project is omitted from the analysis.Difficulty level: MediumINTERNAL RATE OF RETURNc 26. The internal rate of return is:a. more reliable as a decision making tool than net present value whenever you areconsidering mutually exclusive projects.b. equivalent to the discount rate that makes the net present value equal to one.c. difficult to compute without the use of either a financial calculator or a computer.d. dependent upon the interest rates offered in the marketplace.e. a better methodology than net present value when dealing with unconventional cashflows.Difficulty level: MediumINTERNAL RATE OF RETURNa 27. The internal rate of return tends to be:a. easier for managers to comprehend than the net present value.b. extremely accurate even when cash flow estimates are faulty.c. ignored by most financial analysts.d. used primarily to differentiate between mutually exclusive projects.e. utilized in project analysis only when multiple net present values apply.Difficulty level: EasyINCREMENTAL INTERNAL RATE OF RETURNe 28. You are trying to determine whether to accept project A or project B. These projectsare mutually exclusive. As part of your analysis, you should computethe incremented IRR by determining:a. the internal rate of return for the cash flows of each project.b. the net present value of each project using the internal rate of return as the discountrate.c. the discount rate that equates the discounted payback periods for each project.d. the discount rate that makes the net present value of each project equal to 1.e. the internal rate of return for the differences in the cash flows of the two projects.Difficulty level: MediumINCREMENTAL INTERNAL RATE OF RETURNb 29. Graphing the incremental IRR helps explain:a. why one project is always superior to another project.b. how decisions concerning mutually exclusive projects are derived.c. how the duration of a project affects the decision as to which project to accept.d. how the net present value and the initial cash outflow of a project are related.e. how the profitability index and the net present value are related.Difficulty level: MediumPROFITABILITY INDEXd 30. The profitability index is closely related to:a. payback.b. discounted payback.c. the average accounting return.d. net present value.e. mutually exclusive projects.Difficulty level: EasyPROFITABILITY INDEXb 31. Analysis using the profitability index:a. frequently conflicts with the accept and reject decisions generated bythe application ofthe net present value rule.b. is useful as a decision tool when investment funds are limited.c. is useful when trying to determine which one of two mutually exclusive projectsshould be accepted.d. utilizes the same basic variables as those used in the average accounting return.e. produces results which typically are difficult to comprehend or apply.Difficulty level: MediumPROFITABILITY INDEXe 32. If you want to review a project from a benefit-cost perspective, you should use the_____ method of analysis.a. net present valueb. paybackc. internal rate of returnd. average accounting returne. profitability indexDifficulty level: EasyPROFITABILITY INDEXb 33. When the present value of the cash inflows exceeds the initial cost of a project, thenthe project should be:a. accepted because the internal rate of return is positive.b. accepted because the profitability index is greater than 1.c. accepted because the profitability index is negative.d. rejected because the internal rate of return is negative.e. rejected because the net present value is negative.Difficulty level: EasyMUTUALLY EXCLUSIVE PROJECTSc 34. Which one of the following is the best example of two mutually exclusive projects?a. planning to build a warehouse and a retail outlet side by sideb. buying sufficient equipment to manufacture both desks and chairs simultaneouslyc. using an empty warehouse for storage or renting it entirely out to another firmd. using the company sales force to promote sales of both shoes and sockse. buying both inventory and fixed assets using funds from the same bond issueDifficulty level: MediumMUTUALLY EXCLUSIVE PROJECTSd 35. The Liberty Co. is considering two projects. Project A consists of building a wholesalebook outlet on lot #169 of the Englewood Retail Center. Project B consists of buildinga sit-down restaurant on lot #169 of the Englewood Retail Center. When trying todecide whether or build the book outlet or the restaurant, management should relymost heavily on the analysis results from the _____ method of analysis.a. profitability indexb. internal rate of returnc. paybackd. net present valuee. accounting rate of returnDifficulty level: MediumMUTUALLY EXCLUSIVE PROJECTSc 36. When two projects both require the total use of the same limited economic resource,the projects are generally considered to be:a. independent.b. marginally profitable.c. mutually exclusive.d. acceptable.e. internally profitable.Difficulty level: EasyMUTUALLY EXCLUSIVE PROJECTSc 37. Matt is analyzing two mutually exclusive projects of similar size and has prepared thefollowing data. Both projects have 5 year lives.Project A Project B Net present value $15,090$14,693Payback period 2.76 years 2.51 yearsAverage accounting return 9.3 percent 9.6 percent Required return 8.3 percent8.0 percentRequired AAR 9.0 percent 9.0 percentMatt has been asked for his best recommendation given thisinformation. His recommendation should be to accept:a. project B because it has the shortest payback period.b. both projects as they both have positive net present values.c. project A and reject project B based on their net present values.d. project B and reject project A based on their average accounting returns.e. project B and reject project A based on both the payback period andthe averageaccounting return.Difficulty level: MediumINVESTMENT ANALYSISa 38. Given that the net present value (NPV) is generally considered to be the best methodof analysis, why should you still use the other methods?a. The other methods help validate whether or not the results from the net present value analysis are reliable.b. You need to use the other methods since conventional practice dictates that you onlyaccept projects after you have generated three accept indicators.c. You need to use other methods because the net present value method is unreliable when a project has unconventional cash flows.d. The average accounting return must always indicate acceptance since this is the bestmethod from a financial perspective.e. The discounted payback method must always be computed to determine if a projectreturns a positive cash flow since NPV does not measure this aspect of a project.Difficulty level: MediumINVESTMENT ANALYSISe 39. In actual practice, managers frequently use the:I. AAR because the information is so readily available.II. IRR because the results are easy to communicate and understand.III. payback because of its simplicity.IV. net present value because it is considered by many to be the best method of analysis.a. I and III onlyb. II and III onlyc. I, III, and IV onlyd. II, III, and IV onlye. I, II, III, and IVDifficulty level: MediumINVESTMENT ANALYSISa 40. No matter how many forms of investment analysis you do:a. the actual results from a project may vary significantly from the expected results.b. the internal rate of return will always produce the most reliable results.c. a project will never be accepted unless the payback period is met.d. the initial costs will generally vary considerably from the estimated costs.e. only the first three years of a project ever affect its final outcome.Difficulty level: EasyINVESTMENT ANALYSISb 41. Which of the following methods of project analysis are biased towards short-termprojects?I. internal rate of returnII. accounting rate of returnIII. paybackIV. discounted paybacka. I and II onlyb. III and IV onlyc. II and III onlyd. I and IV onlye. II and IV onlyDifficulty level: MediumINVESTMENT ANALYSISa 42. If a project is assigned a required rate of return equal to zero, then:a. the timing of the project’s cash flows has no bearing on the value of the project.b. the project will always be accepted.c. the project will always be rejected.d. whether the project is accepted or rejected will depend on the timing of the cash flows.e. the project can never add value for the shareholders.Difficulty level: MediumDECISION RULESe 43. You are considering a project with the following data:Internal rate of return 8.7 percentProfitability ratio .98Net present value -$393Payback period 2.44 yearsRequired return 9.5 percentWhich one of the following is correct given this information?a. The discount rate used in computing the net present value must have been less than 8.7percent.b. The discounted payback period will have to be less than 2.44 years.c. The discount rate used to compute the profitability ratio was equal to the internal rate of return.d. This project should be accepted based on the profitability ratio.e. This project should be rejected based on the internal rate of return.Difficulty level: MediumNET PRESENT VALUEc 44. A ccepting positive NPV projects benefits the stockholders because:a. it is the most easily understood valuation process.b. the present value of the expected cash flows are equal to the cost.c. the present value of the expected cash flows are greater than the cost.d. it is the most easily calculated.e. None of the above.Difficulty level: EasyNET PRESENT VALUEa 45. W hich of the following does not characterize NPV?a. NPV does not incorporate risk into the analysis.b. NPV incorporates all relevant information.c. NPV uses all of the project's cash flows.d. NPV discounts all future cash flows.e. Using NPV will lead to decisions that maximize shareholder wealth.Difficulty level: EasyPAYBACKe 46. T he payback period rule:a. discounts cash flows.b. ignores initial cost.c. always uses all possible cash flows in its calculation.d. Both A and C.e. None of the above.Difficulty level: EasyPAYBACKc 47. T he payback period rule accepts all investment projects in which thepayback period for the cash flows is:a. equal to the cutoff point.b. greater than the cutoff point.c. less than the cutoff point.d. positive.e. None of the above.Difficulty level: EasyPAYBACKd 48. T he payback period rule is a convenient and useful tool because:a. it provides a quick estimate of how rapidly the initial investment will berecouped.b. results of a short payback rule decision will be quickly seen.c. it does not take into account time value of money.d. All of the above.e. None of the above.Difficulty level: EasyDISCOUNTED PAYBACKa 49. T he discounted payback period rule:a. considers the time value of money.b. discounts the cutoff point.c. ignores uncertain cash flows.d. is preferred to the NPV rule.e. None of the above.Difficulty level: EasyPAYBACKc 50. T he payback period rule:a. determines a cutoff point so that all projects accepted by the NPV rulewill be accepted by the payback period rule.b. determines a cutoff point so that depreciation is just equal to positivecash flows in the payback year.c. requires an arbitrary choice of a cutoff point.d. varies the cutoff point with the interest rate.e. Both A and D.Difficulty level: EasyAVERAGE ACCOUNTING RETURNc 51. T he average accounting return is determined by:a. dividing the yearly cash flows by the investment.b. dividing the average cash flows by the investment.c. dividing the average net income by the average investment.d. dividing the average net income by the initial investment.e. dividing the net income by the cash flow.Difficulty level: EasyAVERAGE ACCOUNTING RETURNb 52. T he investment decision rule that relates average net income to averageinvestment is the:a. discounted cash flow method.b. average accounting return method.c. average payback method.d. average profitability index.e. None of the above.Difficulty level: EasyMODIFIED INTERNAL RATE OF RETURNd 53. M odified internal rate of return:a. handles the multiple IRR problem by combining cash flows until onlyone change in sign change remains.b. requires the use of a discount rate.c. does not require the use of a discount rate.d. Both A and B.e. Both A and C.Difficulty level: MediumAVERAGE ACCOUNTING RETURNd 54. T he shortcoming(s) of the average accounting return (AAR) method is(are):a. the use of net income instead of cash flows.b. the pattern of income flows has no impact on the AAR.c. there is no clear-cut decision rule.d. All of the above.e. None of the above.Difficulty level: MediumINTERNAL RATE OF RETURNe 55. T he two fatal flaws of the internal rate of return rule are:a. arbitrary determination of a discount rate and failure to consider initialexpenditures.b. arbitrary determination of a discount rate and failure to correctlyanalyze mutually exclusive investment projects.c. arbitrary determination of a discount rate and the multiple rate ofreturn problem.d. failure to consider initial expenditures and failure to correctly analyzemutually exclusive investment projects.e. failure to correctly analyze mutually exclusive investment projects andthe multiple rate of return problem.Difficulty level: MediumMUTUALLY EXCLUSIVE PROJECTSd 56. A mutually exclusive project is a project whose:a. acceptance or rejection has no effect on other projects.b. NPV is always negative.c. IRR is always negative.d. acceptance or rejection affects other projects.e. cash flow pattern exhibits more than one sign change.Difficulty level: EasyINTERNAL RATE OF RETURNd 57. A project will have more than one IRR if:a. the IRR is positive.b. the IRR is negative.c. the NPV is zero.d. the cash flow pattern exhibits more than one sign change.e. the cash flow pattern exhibits exactly one sign change.Difficulty level: EasyINTERNAL RATE OF RETURN RULESb 58. U sing internal rate of return, a conventional project should be acceptedif the internal rate of return is:a. equal to the discount rate.b. greater than the discount rate.c. less than the discount rate.d. negative.e. positive.Difficulty level: EasyINTERNAL RATE OF RETURNa 59. The internal rate of return may be defined as:a. the discount rate that makes the NPV cash flows equal to zero.b. the difference between the market rate of interest and the NPV.c. the market rate of interest less the risk-free rate.d. the project acceptance rate set by management.e. None of the above.Difficulty level: MediumMULTIPLE INTERNAL RATE OF RETURNSd 60. The problem of multiple IRRs can occur when:a. there is only one sign change in the cash flows.b. the first cash flow is always positive.c. the cash flows decline over the life of the project.d. there is more than one sign change in the cash flows.e. None of the above.Difficulty level: EasyTIMING AND SCALE ISSUES WITH INTERNAL RATE OF RETURNb 61. T he elements that cause problems with the use of the IRR in projectsthat are mutually exclusive are:a. the discount rate and scale problems.b. timing and scale problems.c. the discount rate and timing problems.d. scale and reversing flow problems.e. timing and reversing flow problems.Difficulty level: MediumNET PRESENT VALUE DECISIONc 62. If there is a conflict between mutually exclusive projects due to the IRR,one should:a. drop the two projects immediately.b. spend more money on gathering information.c. depend on the NPV as it will always provide the most value.d. depend on the AAR because it does not suffer from these sameproblems.e. None of the above.Difficulty level: MediumPROFITABILITY INDEXe 63. The profitability index is the ratio of:a. average net income to average investment.b. internal rate of return to current market interest rate.c. net present value of cash flows to internal rate of return.d. net present value of cash flows to average accounting return.e. present value of cash flows to initial investment cost.Difficulty level: EasyINVESTMENT DECISION RULESa 64. Which of the following statement is true?a. One must know the discount rate to compute the NPV of a project butone can compute the IRR without referring to the discount rate.b. One must know the discount rate to compute the IRR of a project butone can compute the NPV without referring to the discount rate.c. Payback accounts for time value of money.d. There will always be one IRR regardless of cash flows.e. Average accounting return is the ratio of total assets to total net income.Difficulty level: MediumCAPITAL BUDGETING PRACTICEb 65. Graham and Harvey (2001) found that ___ and ___ were the two mostpopular capital budgeting methods.a. Internal Rate of Return; Payback Periodb. Internal Rate of Return; Net Present Valuec. Net Present Value; Payback Periodd. Modified Internal Rate of Return; Internal Rate of Returne. Modified Internal Rate of Return; Net Present Value。

EXAM PAPER 1I. True(T) or False(F). Please fill in the bracket with T or F. (15%)1. In financial management, the more appropriate goal of the firm is maximization of shareholderwealth. ( )2. The component cost of preferred stock must be adjusted for taxes which the stockholdersmust pay on the dividends. ( )3. If an investment project has a profitability index of 1.15, the project’s internal rate of returnexceeds its net present value. ( )4. With an annuity due the payments occur at the end of each period. ( )5. If the firm decides to impose a capital constraint on investment projects, the appropriatedecision criterion is to select the set of projects with the highest NPV subject to the capital constraint. ( )6. Business risk refers to the relative dispersion in the firm’s EBIT. ( )7. Net working capital equals current assets less current liabilities. ( )8. Under MM’s model with corporate taxes, the benefits of debt financing stem solely from the taxdeductibility of interest payments. ( )9. Investors can only expect to receive a return for incurring unsystematic risk. ( )10. The Security Market Line is a risk-return trade-off for combinations of the market portfolio andthe riskless asset. ( )II. Multiple Choice (15%)1. Dorset Ltd wishes to calculate its weighted average cost of capital for use in investmentappraisal. The company is financed by 150 million $1 ordinary shares, which have a current market value of $2, and $100 million 12 per cent irredeemable debentures, which are currently quoted at $150 per $100 nominal value. The cost of ordinary share capital is 11 per cent and the rate of corporation tax is 25 per cent.What is the weighted average cost of capital for Dorset Ltd? (To one decimal place)A. 9·0 per centB. 9·3 per centC. 10·4 per centD. 11·4 per cent2. Cheshire Ltd has developed a revolutionary form of tyre gauge at a cost of $300,000 to date.To produce the tyre gauge, a new machine will be acquired immediately at a cost of $750,000.The machine will be sold at the end of the five years for $350,000 and will be depreciated over its life using the straight-line method.The tyre gauge has an expected life of five years and estimated future profits from the product are: Years1 2 3 4 5$000 $000 $000 $000 $000Estimated profit 80 160 240 140 130What is the payback period for the new tyre gauge? (To the nearest month)A. 3 years 2 monthsB. 4 years 2 monthsC. 4 years 3 monthsD. 4 years 11 months3. Cumbria Ltd has $1 ordinary shares in issue that have a current market value of $3. Thedividend expected for next year is $0·40 and future dividends are expected to grow at the rate of 5 per cent per annum. The rate of corporation tax is 20 per cent and the dividend Growth model is used to calculate the cost of ordinary shares.What is the cost of ordinary shares to the business?A. 6·1%B. 15·7%C. 18·3%D. 19·0%4. Calcite Ltd used the NPV and IRR methods of investment appraisal to evaluate a project thathas an initial cash outlay followed by annual net cash inflows over its life. After the evaluationhad been undertaken, it was discovered that the cost of capital had been incorrectly calculated and that the correct cost of capital figure was in fact higher than that used.What will be the effect on the NPV and IRR figures of correcting for this error?Effect onNPV IRRA. Decrease DecreaseB. Decrease No changeC. Increase IncreaseD. Increase No Change5. A business evaluates an investment project that has an initial outlay followed by annual netcash inflows of $10 million throughout its infinite life. The evaluation of the inflows produced a present value of $50 million and a profitability (present value) index of 2·0.What is the internal rate of return and initial outlay of this project?IRR Initial outlay% $mA. 20 25B. 20 100C. 40 25D. 10 1006. Quartz Ltd pays an annual dividend of 30 cent per share to shareholders, which is expected tocontinue in perpetuity. The average rate of return for the market is 9% and the company has a beta coefficient of 1·5. The risk-free rate of return is 4%.What is the expected rate of return for the shareholders of the company and the predicted value of the shares in the company?Expected rate Predictedof return value(%) (cent)A. 23·5 705B. 17·5 171C. 16·5 182D. 11·5 2617. Tourmaline Ltd pays its major credit supplier 40 days after receiving the goods and receives nosettlement discount. The supplier has recently offered the company revised credit terms of 3/10, net 40.If Tourmaline Ltd refuses the settlement discount and pays in full after 40 days, what is the approximate, implied, interest cost that is incurred by the company per year?A. 10·3%B. 27·4%C. 28·2%D. 37·6%8. Carrickfergus Ltd wishes to forecast its financial performance and position for the forthcomingyear. The forecast model used by the company incorporates the following relationships: Sales: total assets employed 2·5:1Current assets: current liabilities 1·8:1Quick assets: current liabilities 1·2:1Fixed assets: current assets 1·0:1If sales for the forthcoming year are expected to be $800,000, what is the forecast closing stock figure?A. $53,333B. $71,111C. $85,926D. $96,000.9. The Modigliani and Miller (no taxes) proposition concerning capital gearing states that, as thelevel of capital gearing increases from zero,A. the cost of equity capital will remain unchangedB. the weighted average cost of capital will decreaseC. the value of the business will remain unchangedD. the cost of loan capital will increase.10. A study of the shares of companies listed on a particular stock market found that:(i) share prices were independent of past share price movements and followed a random path. (ii) some investors used the published accounts of the companies to analyse performance and, by doing so, made abnormal gains over many years.Which of the following would be consistent with these findings?A. The stock market is inefficientB. The stock market is efficient in the weak formC. The stock market is efficient in the semi-strong formD. The stock market is efficient in the strong form11. The economic order quantity (EOQ) for stocks can be calculated by using an equation of theform:)/2(ZXY EOQ=What is Z in the above equation?A. Cost of placing an orderB. Annual demand for the item of stockC. Cost of holding one unit of stock for one yearD. The lead time between placing an order and receiving the goods12. Which of the following is associated with the problem of “overtrading”?A. Higher-than-normal earnings per shareB. Higher-than-normal sales to capital employed ratioC. Lower-than-normal gearing ratioD. Lower-than-normal stock turnover ratio13. Investors have an expected rate of return of 8% from ordinary shares in Algol Ltd, which have abeta of 1·2. The expected returns to the market are 7%.What will be the expected rate of return from ordinary shares in Rigel Ltd, which have a beta of 1.8?A. 9·0%B. 10·5%C. 11·0%D. 12·6%.14. Chrysotile Ltd has ordinary shares with a par value of $0·50 in issue. The company generatedearnings per share of 45c for the financial year that has just ended. The dividend cover ratio is 2·5 times and the gross dividend yield is 2% (Ignore taxation).What is the price/earnings ratio of the company?A. 2·8 timesB. 5·0 timesC. 20·0 timesD. 40·0 times15. Ethical behavior is important because it:A. builds customer loyaltyB. builds a good reputationC. avoids fines and legal expensesD. all of the aboveIII. Solving the following problems. (60 marks)1. Brambling (Electronics) Ltd is a research-led business that specialises in the development of surveillance equipment. The company has recently developed a new form of camera with a powerful fibre-optic lens and is currently considering whether or not to produce the camera. The Board of Directors will soon meet to make a final decision and has the following information available to help it decide:(i) The cost of developing the camera has been $1,400,000 to date and the company iscommitted to spending a further $350,000 within the next two months.(ii) The company has spare production capacity and can produce the camera using machinery that will cost $4,700,000 and which will be purchased immediately. It isexpected to be sold at the end of four years for $800,000.(iii) Total fixed costs identified with the production of the camera are $1,725,000 per year.This includes a depreciation charge in respect of the machinery of $975,000 per yearand a charge allocated to represent a fair share of the fixed costs of the business as awhole of $250,000 per year.(iv) The cameras are expected to sell for $10,000 each and the marketing department believes that the business can sell 800 cameras per year over the next four years.(v) The variable costs of production are $7,000 per camera.(vi) If the business decides not to produce the camera it can sell the patents immediately for $1,300,000.The company has a cost of capital of 12%.Ignore taxation.Required:(a) Calculate the net present value of producing and selling the new camera versus thealternative of selling the patent. (6 marks)(b) Carry out a separate sensitivity analysis to show by how much the following factorswould have to change before the proposal to produce and sell the new camera has an NPV of zero:(i) the initial outlay on the machinery;(ii) the discount rate;(iii) the residual value of the machinery;(iv) the annual net operating cash flows. (11 marks)(c) Briefly evaluate your findings in (a) and (b) above. (3 marks)(20 marks)2.Grebe Ltd operates a chain of cellular telephone stores in the UK. An abbreviated profit and loss account and balance sheet of the business for the year that has just ended is as follows: Abbreviated profit and loss account for the year ended 31 May 2003$000SalesOperating profit for the year Debenture interest payable 6,450 800 160Net profit before taxation Corporation tax (20%)Net profit after taxation Dividends proposed Retained profit for the year 640 128 512 256 256Abbreviated balance sheet as at 31 May 2003$000$000 Fixed assets at written down valuesCurrent assetsLess Creditors: amounts falling due within one yearLess Creditors: amounts falling due after more than one yearCapital and reserves$0·50 Ordinary sharesRetained profit 1,8001,1003,5007004,2002,0002,2006001,6002,200The company is expecting a surge in sales following advances in cellular telephone technology that should translate into additional operating profits of $180,000 per year for the foreseeable future. However, the company will need to invest $1,200,000 immediately in expanding the asset base of the business if it is to achieve these additional profits.The business has approached a large supplier that already has an equity investment in the business to see whether it would be prepared to provide further funds for the business. The supplier has indicated it would be willing to provide the necessary funds by either:(i) an issue of $0·50 ordinary shares at a premium of $1·50 per share, or(ii) an issue of $1,200,000 10% debentures at par.The Board of Directors of Grebe Ltd has already announced that it will maintain the same dividend payout ratio in future years as in the past and that this policy will be unaffected by the form of finance raised.Required:(a) For each of the financing options, calculate the forecast earnings per share for theforthcoming year;(10 marks)(b) Calculate the level of operating profit at which the earnings per share will be the sameunder each financing option. (10 marks)(20 marks)3. Bartok Ltd produces a single product. Financial data concerning the product is as follows:$ $Selling price per unit 20Variable cost per unit 17Fixed costs per unit 2 19Net profit 1At present, total credit sales for the product are $1·2m and the average collection period is one month. In order to stimulate sales for the product, the company is considering liberalising its credit policy so as to allow an average collection period of 1 1/2 months. This change of policy will allow the company to break into the US market where, currently, it has no presence. As a result of this breakthrough, sales will increase by 25%. However, there would be an additional investment required in stocks of $150,000 and an increase in trade creditors of $50,000.The company requires a 25% rate of return on its investments.Ignore taxation.Required:(a) Evaluate the proposal to increase the average collection period for debtorsassuming:(i) all customers take advantage of the longer credit period (8 marks)(ii) only new customers take advantage of the longer credit period. (8 marks)(b) Identify and discuss the main factors which influence the credit terms granted tocustomers by a company. (4 marks)(20 marks)ANSWERS FOR EXAM PAPER 1I. (10%, 1 mark each)1. T2. F3. F4. F5. T6. T7. T8. T9. F 10. FII. (30%, two marks each)1. B2. A3. C4. B5. C6. D7. D8. A9. C 10. B 11. C 12. B 13. C 14. C 15. DIII. (60%, 20marks each)1. (a) Annual operating cash flows can be calculated as follows:$m $m Sales (800 x $10,000) LessVariable costs (800 x $7,000) Fixed costs5·6 0·58·0 6·1 1·9(2 marks)Cash flows relating to the project are as follows:Year0 $m1 $m 2$m 3 $m 4 $m Machinery Opportunity cost Annual cash flows(4·7) (1·3) (6·0)1·9 1·91·9 1·91·9 1·90.8 1·9 2·7(2 marks)The net present value of the project is:$m $m $m $m $mCash flows Discount rate (12%) Present valueNPV (6·0)1·0(6·0)0·291·90·891·691·90·801·521·90·711·352·70·641·73(2maks)(b) (i) The increase required in the initial outlay on machinery before the project becomes nolonger profitable will be $0·29m. The machinery is already expressed in present value terms and so this figure is the same as the net present value of the project. This figure is 6·2% higher than the initial cost figure stated. (2 marks)(ii) If the discount rate is increased to 14%, the NPV of the project is:$m $m $m $m $mCash flows Discount rate (14%) Present valueNPV (6·0)1·0(6·0)0·011·90·881·671·90·771·461·90·681·292·70·591·59Thus, the project will become unprofitable at approximately 14% cost of capital.This represents a 16·7% increase in the cost of capital. (3 marks)(iii) The decrease in the residual value of the equipment (R) that will make the project no longer profitable is calculated as follows:(R x discount factor at the end of four years) – NPV of the project = 0This can be rearranged as follows:(R x discount factor at the end of four years) = NPV of the projectR x 0.64 = $0·29 mR = $0·29m/0·64= $0·45mThis represents a 43·8% decrease in the estimated residual value. (3marks)(iv) The decrease in annual net operating cash flows (C) to make the project no longer profitable is calculated as follows:(C x annuity factor for a four-year period) – NPV = 0This can be rearranged as follows:(C x annuity factor for a four-year period) = NPV C x 3·04 = $0·29m C = $0·29m/3·04 C = $0·095mThis represents a decrease of 5·0% on the estimated annual net operating cash flows. (3marks)(c) The net present value calculations in (a) above indicate that the project will increaseshareholder wealth if it is accepted. The sensitivity calculations in (b) above show by how much each of the key variables will have to change before the project becomes no longer profitable. It can be seen that the most sensitive factor is the annual net operating cash flows followed by the initial cost of the machinery, the discount rate and finally the residual value of the machinery. The annual net operating cash flows will require only a five per cent decrease before the project ceases to be profitable. (3marks)2 (a) Forecast profit and loss account for the year ended 31 May 2004Shares $000Debentures$000 Profit before interest and taxation Debenture interest payable Profit before taxation Corporation tax (20%) Profit after taxation DividendRetained profit for the year Forecast earnings per share980 160 820 164 656 328 328$656,000/1,800,000=36·4c (5marks)980 280 700 140 560 280 280$560,000/1,200,000 46·7c (5marks)(b) The level of operating profit, or profit before interest and taxation (PBIT), at which earnings per share under each method are equal (PBIT = x) is calculated as follows:Shares Debentures(x – B/E PBIT)(1 – tax rate) (x – B/E PBIT)(1 – tax rate)––––––––––––––––––––––– = –––––––––––––––––––––––No. of shares No. of sharesThe level of PBIT at which earnings per share are equal is:(x – $0·16m)(1 – 0·20) (x – $0·28m)(1 – 0·20)–––––––––––––––––––– = –––––––––––––––––––– (3 marks)1·8m 1·2m(0·8 x – $0·128m) (0·8 x – $0·224m)––––––––––––––––– = ––––––––––––––––1·8m 1·2m0·96m x – $0·1536m = 1·44m x – $0·4032m0·48m x = $0·2496mx = $0·52m (2 marks)3. (a) (i) The contribution per unit is $3 (i.e. $20 - $17). A 25% increase in sales will lead to anincrease of sales revenue of $0·3m or 15,000 units (i.e. $0·3m/$20). Hence the increase in contribution and profit will be:15,000 x $3 = $45,000 (4marks)The additional investment required will be:$Increase in stocksIncrease in debtors [($1·5m/12 ) x 11/2m] - [(1·2m/12) x 1m)]Increase in creditorsNet increase in working capitalReturn on investment 150,00087,500237,50050,000187,500= 45,000 x 100% 187,500= 24·0 %(6 marks)(ii) The additional investment required will be:$Increase in stocksIncrease in debtors [($0·3m/12) x 11/2]Increase in creditorsNet increase in working capital Return on investment 150,00037,500187,50050,000137,500= 45,000 x 100% 137,500= 32·7 %(6 marks)Thus, it is if new customers only take advantage of the longer credit period that the proposed change in policy will meet the profit requirements of the company.(b) The main factors that influence the credit terms granted to customers are: Management policies/Market strength /Order size and frequency /Profitability /Resources of the business /Resources of the customer/Industry norms, etc.(4 marks)。

CHAPTER 5Interest Rate and Bond Valuation Multiple Choice QuestionsI. DEFINITIONSCOUPONa 1. The stated interest payment, in dollars, made on a bond each period is called the bond’s:a. coupon.b. face value.c. maturity.d. yield to maturity.e. coupon rate.Difficulty level: EasyFACE VALUEb 2. The principal amount of a bond that is repaid at the end of the loan term is called the bond’s:a. coupon.b. face value.c. maturity.d. yield to maturity.e. coupon rate.Difficulty level: EasyMATURITYc 3. The specified date on which the principal amount of a bond is repaid is called the bond’s:a. coupon.b. face value.c. maturity.d. yield to maturity.e. coupon rate.Difficulty level: EasyYIELD TO MATURITYd 4. The rate of return required by investors in the market for owning a bond is called the:a. coupon.b. face value.c. maturity.d. yield to maturity.e. coupon rate.Difficulty level: EasyCOUPON RATEe 5. The annual coupon of a bond divided by its face value is called t he bond’s:a. coupon.b. face value.c. maturity.d. yield to maturity.e. coupon rate.Difficulty level: EasyPAR BONDSa 6. A bond with a face value of $1,000 that sells for $1,000 in the market is called a _____ bond.a. par valueb. discountc. premiumd. zero coupone. floating rateDifficulty level: EasyDISCOUNT BONDSb 7. A bond with a face value of $1,000 that sells for less than $1,000 in the market is called a_____ bond.a. parb. discountc. premiumd. zero coupone. floating rateDifficulty level: EasyPREMIUM BONDSc 8. A bond with a face value of $1,000 that sells for more than $1,000 in the market is called a_____ bond.a. parb. discountc. premiumd. zero coupone. floating rateDifficulty level: EasyUNFUNDED DEBTd 9. The unfunded debt of a firm is generally understood to mean the firm’s:a. preferred stock.b. debts that mature in more than one year.c. debentures.d. debts that mature in less than one year.e. secured debt.Difficulty level: EasyINDENTUREa 10. The written, legally binding agreement between the corporate borrower and the lender detailingthe terms of a bond issue is called the:a. indenture.b. covenant.c. terms of trade.d. form 5140.e. call provision.Difficulty level: EasyREGISTERED BONDSb 11. The form of bond issue in which the registrar of the company records ownership of each bond,with relevant payments made directly to the owner of record, is called the _____ form.a. new-issueb. registeredc. bearerd. debenturee. collateralDifficulty level: MediumBEARER BONDSc 12. The form of bond issue in which the bond is issued without record of the owner’s name, withrelevant payments made directly to whoever physically holds the bond, is called the _____form.a. new-issueb. registeredc. bearerd. debenturee. collateralDifficulty level: EasyDEBENTURESe 13. The unsecured debts of a firm with maturities greater than 10 years are most literally called:a. unfunded liabilities.b. sinking funds.c. bonds.d. notes.e. debentures.Difficulty level: EasyNOTESd 14. The unsecured debts of a firm with maturities less than 10 years are most literally called:a. unfunded liabilities.b. sinking funds.c. bonds.d. notes.e. debentures.Difficulty level: EasySINKING FUNDa 15. An account managed by the bond trustee for early bond redemption payments is called a:a. sinking fund.b. collateral payment account.c. deed in trust account.d. call provision.e. par value fund.Difficulty level: EasyCALL PROVISIONb 16. An agreement giving the bond issuer the option to repurchase the bond at a specified price priorto maturity is the _____ provision.a. sinking fundb. callc. seniorityd. collaterale. trusteeDifficulty level: EasyCALL PREMIUMc 17. The amount by which the call price exceeds the bond’s par value is the:a. coupon rate.b. redemption value.c. call premium.d. original-issue discount.e. call rate.Difficulty level: EasySENIORITYe 18. In the event of default, _____ debt holders must give preference to more _____ debt holders inthe priority of repayment distributions.a. short-term; long-termb. long-term; short-termc. senior; juniord. senior; subordinatede. subordinated; seniorDifficulty level: MediumDEFERRED CALL PROVISIONd 19. A deferred call provision refers to the:a. open market price of a callable bond on a certain date.b. seniority of callable bonds to noncallable bonds in the event of corporate default.c. prohibition of a company from ever redeeming callable bonds.d. prohibition of a company from redeeming callable bonds prior to a certain date.e. amount by which the call price for a callable bond exceeds its par value.Difficulty level: EasyTREASURY BONDSa 20. The long-term bonds issued by the United States government are called _____ bonds.a. Treasuryb. municipalc. floating-rated. junke. zero couponDifficulty level: EasyMUNICIPAL BONDSb 21. The long-term bonds issued by state and local governments in the United States are called_____ bonds.a. Treasuryb. municipalc. floating-rated. junke. zero couponDifficulty level: EasyZERO COUPON BONDSe 22. A bond that makes no coupon payments and is initially priced at a deep discount is called a_____ bond.a. Treasuryb. municipalc. floating-rated. junke. zero couponDifficulty level: EasyFLOATING-RATE BONDSc 23. A bond that pays a variable amount of coupon interest over time is called a _____ bond.a. Treasuryb. municipalc. floating-rated. junke. zero couponDifficulty level: EasyPROTECTIVE COVENANTe 24. Parts of the indenture limiting certain actions that might be taken during the term of the loan toprotect the interests of the lender are called:a. trustee relationships.b. sinking funds provisions.c. bond ratings.d. deferred call provisions.e. protective covenants.Difficulty level: EasyCONVERTIBLE BONDSd 25. A bond which, at the election of the holder, can be swapped for a fixed number of shares ofcommon stock at any time prio r to the bond’s maturity is called a _____ bond.a. zero couponb. callablec. putabled. convertiblee. warrantDifficulty level: MediumPRICE TRANSPARENCYa 26. A financial market is _____ if it is possible to easily observe its prices and trading volume.a. transparentb. openc. orderedd. in equilibriume. chaoticDifficulty level: MediumCURRENT YIELDb 27. The annual coupon payment of a bond divided by its market price is called the:a. coupon rate.b. current yield.c. yield to maturity.d. bid-ask spread.e. capital gains yield.Difficulty level: EasyTIP BONDSb 28. A TIP bond’s interest rate is linked to:a. income.b. inflation.c. liquidity.d. maturity of the 30 year government bond.e. corporate tax rates.Difficulty level: MediumPUT BONDa 29. A bond that allows the holder to force the issuer to buy back bonds at a stated rate is called a:a. put bond.b. call bond.c. guaranteed bond.d. TIP bond.e. none of the above.Difficulty level: MediumNOMINAL RATESe 30. Interest rates or rates of return on investments that have not been adjusted for the effects ofinflation are called _____ rates.a. couponb. strippedc. effectived. reale. nominalDifficulty level: MediumREAL RATESa 31. Interest rates or rates of return on investments that have been adjusted for the effects ofinflation are called _____ rates.a. realb. nominalc. effectived. strippede. couponDifficulty level: MediumFISHER EFFECTb 32. The relationship between nominal rates, real rates, and inflation is known as the:a. Miller and Modigliani theorem.b. Fisher effect.c. Gordon growth model.d. term structure of interest rates.e. interest rate risk premium.Difficulty level: MediumTERM STRUCTURE OF INTEREST RATESc 33. The relationship between nominal interest rates on default-free, pure discount securities and thetime to maturity is called the:a. liquidity effect.b. Fisher effect.c. term structure of interest rates.d. inflation premium.e. interest rate risk premium.Difficulty level: MediumINFLATION PREMIUMd 34. The _____ premium is that portion of a nominal interest rate or bond yield that representscompensation for expected future overall price appreciation.a. default riskb. taxabilityc. liquidityd. inflatione. interest rate riskDifficulty level: EasyDEFAULT RISK PREMIUMa 35. The _____ premium is that portion of a nominal interest rate or bond yield that representscompensation for the possibility of nonpayment by the bond issuer.a. default riskb. taxabilityc. liquidityd. inflatione. interest rate riskDifficulty level: EasyII. CONCEPTSBOND FEATURESd 36. A bond with a 7 % coupon that pays interest semi-annually and is priced at par will have amarket price of _____ and interest payments in the amount of _____ each.a. $1,007; $70b. $1,070; $35c. $1,070; $70d. $1,000; $35e. $1,000; $70Difficulty level: MediumBOND PRICES AND YIELDSe 37. All else constant, a bond will sell at _____ when the yield to maturity is _____ the coupon rate.a. a premium; higher thanb. a premium; equal toc. at par; higher thand. at par; less thane. a discount; higher thanDifficulty level: MediumBOND PRICES AND YIELDSd 38. All else constant, a coupon bond that is selling at a premium, must have:a. a coupon rate that is equal to the yield to maturity.b. a market price that is less than par value.c. semi-annual interest payments.d. a yield to maturity that is less than the coupon rate.e. a coupon rate that is less than the yield to maturity.Difficulty level: EasyBOND PRICESc 39. The market price of a bond is equal to the present value of the:a. face value minus the present value of the annuity payments.b. annuity payments plus the future value of the face amount.c. face value plus the present value of the annuity payments.d. face value plus the future value of the annuity payments.e. annuity payments minus the face value of the bond.Difficulty level: EasyBOND PRICESa 40. As the yield to maturity increases, the:a. amount the investor is willing to pay to buy a bond decreases.b. longer the time to maturity.c. lower the coupon rate desired by that investor.d. higher the price the investor offers to buy a bond.e. lower the rate of return desired by the investor.Difficulty level: EasySEMIANNNUAL BONDSe 41. American Fortunes is preparing a bond offering with an 8 % coupon rate. Thebonds will be repaid in 10 years. The company plans to issue the bonds at par value and payinterest semiannually. Given this, which of the following statements are correct?I. The initial selling price of each bond will be $1,000.II. A fter the bonds have been outstanding for 1 year, you should use 9 as the number of compounding periods when calculating the market value of the bond.III. Each interest payment per bond will be $40.IV. The yield to maturity when the bonds are first issued is 8 %.a. I and II onlyb. II and III onlyc. II, III, and IV onlyd. I, II, and III onlye. I, III, and IV onlyDifficulty level: MediumSEMIANNUAL BONDS AND EFFECTIVE ANNUAL RATEd 42. The newly issued bonds of the Wynslow Corp. offer a 6 % coupon with semiannual interestpayments. The bonds are currently priced at par value. The effective annual rate provided bythese bonds must be:a. equal to 3 %.b. greater than 3 % but less than 4 %.c. equal to 6 %.d. greater than 6 % but less than 7 %.e. equal to 12 %.Difficulty level: MediumINTEREST RATE RISKd 43. Which one of the following statements is correct concerning interest rate risk as it relates tobonds, all else equal?a. The shorter the time to maturity, the greater the interest rate risk.b. The higher the coupon rate, the greater the interest rate risk.c. For a bond selling at par value, there is no interest rate risk.d. The greater the number of semiannual interest payments, the greater the interest rate risk.e. The lower the amount of each interest payment, the lower the interest rate risk.Difficulty level: MediumINTEREST RATE RISKe 44. Which one of the following bonds has the greatest interest rate risk?a. 5-year; 9 % couponb. 5-year; 7 % couponc. 7-year; 7 % coupond. 9-year; 9 % coupone. 9-year; 7 % couponDifficulty level: MediumINTEREST RATE RISKb 45. Interest rate risk _____ as the time to maturity increases.a. increases at an increasing rateb. increases at a decreasing ratec. increases at a constant rated. decreases at an increasing ratee. decreases at a decreasing rateDifficulty level: MediumINTEREST RATE RISKc 46. You own a bond that has a 7 % coupon and matures in 12 years. You purchasedthis bond at par value when it was originally issued. If the current market rate for thistype and quality of bond is 7.5 %, then you would expect:a. the bond issuer to increase the amount of each interest payment on these bonds.b. the yield to maturity to remain constant due to the fixed coupon rate.c. to realize a capital loss if you sold the bond at the market price today.d. today’s market price to exceed the face value of the bond.e. the current yield today to be less than 7 %.Difficulty level: MediumINTEREST RATE RISKb 47. A brand with semi-annual interest payments, all else equal, would be priced _________ thanone with annual interest payments.a. higherb. lowerc. the samed. it is impossible to telle. either higher or the sameDifficulty level: MediumYIELD TO MATURITY AND CURRENT YIELDe 48. All else constant, as the market price of a bond increases the current yield _____ andthe yield to maturity _____a. increases; increases.b. increases; decreases.c. remains constant; increases.d. decreases; increases.e. decreases; decreases.Difficulty level: MediumBOND FEATURESd 49. Which of the following statements concerning bond features is (are) correct?I. Bondholders generally have voting power in a corporation.II. Bond interest is tax-deductible as a business expense.III. The repayment of the bond principle is tax-deductible.IV. Failure to pay either the interest payments or the bond principle as agreed can cause a firm to go into bankruptcy.a. II onlyb. I and II onlyc. III and IV onlyd. II and IV onlye. II, III, and IV onlyDifficulty level: MediumBOND INDENTUREd 50. Which of the following items are generally included in a bond indenture?I. call provisionsII. security descriptionIII. current yieldIV. protective covenantsa. I and II onlyb. II and IV onlyc. II, III, and IV onlyd. I, II, and IV onlye. I, II, III, and IVDifficulty level: MediumBOND CLASSIFICATIONSe 51. Which one of the following statements is correct concerning bond classifications?a. A debenture is a long-term bond secured by the fixed assets of a firm.b. A mortgage security is a bond issued solely by a home builder.c. A note is a bond which has an original maturity date longer than 10 years.d. A subordinated bond receives preferential treatment over all other bonds in abankruptcy.e. A callable bond can be repurchased by the issuer prior to the initial maturity date.Difficulty level: MediumCALLABLE BONDSb 52. Callable bonds generally:a. allow the bondholder to decide when the bond is to be called.b. are associated with sinking funds.c. permit the issuer to repurchase the bonds at a discount.d. are called within the first couple of years after issuance.e. are required to have a deferred call provision if they have a “make-whole” callprovision.Difficulty level: MediumPROTECTIVE COVENANTSc 53. Which of the following is a (are) positive covenant(s) that might be found in a bondindenture?I. The company shall maintain a current ratio of 1.5 or better.II. The company must limit the amount of dividends it pays according to the stated formula.III. The company cannot lease any major assets without approval by the lender.IV. The company must maintain the loan collateral in good working order.a. I onlyb. I and II onlyc. I and IV onlyd. II and IV onlye. I, II, and IV onlyDifficulty level: ChallengePROTECTIVE COVENANTSe 54. Protective covenants:a. are primarily designed to protect the issuing corporation from unreasonable demandsof bondholders.b. are consistent for all bonds issued by a corporation within the United States.c. are limited to stating actions which a firm must take.d. only apply to bonds that have a deferred call provision.e. are primarily designed to protect bondholders from future actions of the bond issuer.Difficulty level: MediumBOND RATINGSb 55. Which one of the following statements concerning bond ratings is correct?a. Standard and Poor’s and Value Line are the primary bond rating agencies.b. Bond ratings are solely an assessment of the creditworthiness of the bond issuer.c. Investment grade bonds include only those bonds receiving one of the highest threebond ratings.d. Bond ratings evaluate the expected price volatility of a bond issue.e. All bonds receive the same rating classification from all rating agencies.Difficulty level: MediumBOND RATINGSd 56. A “fallen angel” is a bond that:a. lowered its annual interest payment.b. has moved from being a long-term obligation to being a short-term obligation.c. has moved from having a yield to maturity in excess of the coupon rate to having ayield to maturity that is less than the coupon rate.d. has moved from being an investment-grade bond to being a junk bond.e. is rated as Ba by one rating agency and rated as BB by another rating agency.Difficulty level: MediumTREASURY BONDSa 57.Bonds issued by the U.S. government:I. are considered to be free of default risk.II. are considered to be free of interest rate risk.III. provide totally tax-free income.IV. pay interest that is exempt from federal income taxes.a. I onlyb. I and III onlyc. I and IV onlyd. II and III onlye. II and IV onlyDifficulty level: MediumTREASURY BONDSd 58. Treasury bonds are:a. those bonds issued by any governmental agency in the U.S.b. issued only on the first day of each fiscal year by the U.S. Department of Treasury.c. preferred by high-income individuals because they offer the best tax benefits.d. generally issued as coupon bonds.e. totally risk-free.Difficulty level: MediumMUNICIPAL BONDSa 59. Municipal bonds:a. offer income tax advantages to individuals.b. generally pay a higher rate of return than corporate bonds.c. are those bonds issued only by local municipalities, such as a city or a borough.d. are rarely callable.e. pay interest that is always exempt from both federal and state income taxes.Difficulty level: EasyTAXABLE VERSUS MUNICIPAL BONDSd 60. The break-even tax rate between a taxable corporate bond yielding 7 % and acomparable nontaxable municipal bond yielding 5 % can be expressed as:a. .07 ÷ (1 - t*) = .05.b. .05 ÷ (1 - t*) = .07.c. .07 + (1 - t*) = .05.d. .07 ⨯ (1 - t*) = .05.e. .05 ⨯ (1 - t*) = .07.Difficulty level: MediumZERO COUPON BONDSe 61. A zero coupon bond:a. is sold at a large premium.b. has a price equal to the future value of the face amount given a specified rate ofreturn.c. can only be issued by the U.S. Treasury.d. has less interest rate risk than a comparable coupon bond.e. has implicit interest which is calculated by amortizing the loan.Difficulty level: MediumZERO COUPON BONDSb 62. The total interest paid on a zero-coupon bond is equal to:a. zero.b. the face value minus the issue price.c. the face value minus the market price on the maturity date.d. $1,000 minus the face value.e. $1,000 minus the par value.Difficulty level: MediumFLOATING-RATE BONDSd 63. The collar of a floating-rate bond refers to the minimum and maximum:a. call periods.b. maturity dates.c. market prices.d. coupon rates.e. yields to maturity.Difficulty level: MediumFLOATING-RATE BONDSd 64. Which of the following are common characteristics of floating-rate bonds?I. adjustable coupon ratesII. adjustable maturity datesIII. put provisionIV. coupon capa. I and II onlyb. II and III onlyc. I, II, and IV onlyd. I, III, and IV onlye. I, II, III, and IVDifficulty level: MediumFLOATING RATE BONDSc 65. A corporation is more prone to issue floating-rate bonds when they expect futureinterest rates to _____ over the life of the bond.a. remain constantb. increase briefly and then decline slightlyc. continually declined. decline briefly and then increase significantlye. continually increaseDifficulty level: EasyYIELD TO MATURITYe 66. The yield to maturity isa. the rate that equates the price of the bond with the discounted cash flows.b. the expected rate to be earned if held to maturity.c. the rate that is used to determine the market price of the bond.d. equal to the current yield for bonds priced at par.e. All of the above.Difficulty level: MediumTYPES OF BONDS AND INVESTOR PREFERENCESc 67. Investors generally tend to buy:a. Treasury bonds for their high yields.b. municipal bonds for their high yields.c. convertible bonds for their potential price appreciation.d. corporate bonds for their liquidity.e. Treasury bonds for their preferential tax treatment.Difficulty level: MediumTYPES OF BONDSb 68. A convertible bond is a bond that can be:a. exchanged for cash at prescribed points in time.b. exchanged for a stated number of shares of common stock of the bond issuer.c. modified from a fixed coupon bond into a floating coupon bond at prescribed points intime.d. submitted to the issuer for redemption at the discretion of the bondholder.e. submitted for payment any time the economy converts into a recessionary period.Difficulty level: EasyPUT PROVISIONc 69. A put provision in a bond indenture allows:a. a bond issuer to recall the bond after a specified period of time at a price that exceedsthe face amount.b. a bondholder to force the issuer to increase the coupon rate if inflation increases by more than aspecified amount.c. the bondholder to force the issuer to buy back the bond at a specified price prior tomaturity.d. the issuer to convert a coupon bond into a zero coupon bond at their discretion.e. t he issuer to suspend interest payments for any year in which the interest expense exceeds thenet income of the firm.Difficulty level: EasyFACE VALUEe 70. Face value isa. always higher than current price.b. always lower than current price.c. the same as the current price.d. the coupon amount.e. None of the above.Difficulty level: EasyBASIS POINTa 71. One basis point is equal to:a. .01 %.b. .10 %.c. 1.0 %.d. 10 %.e. 100 %.Difficulty level: EasyCORPORATE BOND QUOTEc 72. The “EST SPREAD” shown in The Wall Street Journal listing of corporate bondsrepresents the estimated:a. yield to maturity.b. difference between the current yield and the yield to maturity.c. difference between the bond’s yield and the yield of a particular Treasury issue.d. range of yields to maturity provided by the bond over its life to date.e. difference between the yield to call and the yield to maturity.Difficulty level: MediumCOUPON PAYMENTb 73. A bond is listed in The Wall Street Journal as a 12 3/4s of July 2009. This bonds paysa. $127.50 in July and January.b. $63.75 in July and January.c. $127.50 in July.d. $63.75 in July.e. None of the above.Difficulty level: EasyYIELD TO MATURITYc 74. If its yield to maturity is less than its coupon rate, a bond will sell at a _____, and increases inmarket interest rates will _____.a. discount; decrease this discount.b. discount; increase this discount.c. premium; decrease this premium.d. premium; increase this premium.e. None of the above.Difficulty level: MediumCLEAN VERSUS DIRTY PRICESc 75. Today, August 13, you want to buy a bond with a quoted price of 101.5. The bondpays interest on February 1 and August 1. The price you will pay to purchase thisbond is equal to the:a. clean price.b. muddy price.c. dirty price.d. par value price.e. bid price.Difficulty level: MediumREAL RATE OF RETURNd 76. The increase you realize in buying power as a result of owning a bond is referred to asthe _____ rate of return.a. inflatedb. realizedc. nominald. reale. risk-freeDifficulty level: EasyFISHER EFFECTe 77. The Fisher formula is expressed as:a. 1 + r = (1 + R) ÷ (1 + h).b. 1 + r = (1 + R) ⨯ (1 + h).c. 1 + h = (1 + r) ÷ (1 + R).d. 1 + R = (1 + r) ÷ (1 + h).e. 1 + R = (1 + r) ⨯ (1 + h).Difficulty level: MediumFISHER EFFECTd 78. The Fisher Effect primarily emphasizes the effects of _____ risk on an inv estor’s rateof return.a. defaultb. marketc. interest rated. inflatione. maturityDifficulty level: EasyTERM STRUCTURE OF INTEREST RATESa 79. The term structure of interest rates reflects the:a. pure time value of money for various lengths of time.b. actual risk premium being paid for corporate bonds of varying maturities.c. pure inflation adjustment applied to bonds of various maturities.d. interest rate risk premium applicable to bonds of varying maturities.e. nominal interest rates applicable to coupon bonds of varying maturities.Difficulty level: EasyBOND VALUESa 80. The market price of _____ maturity bonds fluctuates _____ compared with _____ maturitybonds as interest rates change.a. shorter; less; longerb. longer; less; shorterc. shorter; more; longerd. Both B and c.e. None of the above.Difficulty level: MediumCORPORATE VERSUS TREASURY BONDSc 81. Two of the primary differences between a corporate bond and a Treasury bond withidentical maturity dates are related to:a. interest rate risk and time value of money.b. time value of money and inflation.c. taxes and potential default.d. taxes and inflation.e. inflation and interest rate risk.Difficulty level: MediumIII. PROBLEMSBOND VALUATIONc 82. Consider a bond which pays 7% semiannually and has 8 years to maturity. The market requiresan interest rate of 8% on bonds of this risk. What is this bond's price?a. $ 942.50b. $ 911.52c. $ 941.74d. $1,064.81e. None of the above.Difficulty level: EasyZERO COUPON BONDa 83. The value of a 20 year zero-coupon bond when the market required rate of return of 9%(semiannual) is ____ .a. $171.93b. $178.43c. $318.38d. $414.64e. None of the above.Difficulty level: EasyYIELD TO MATURITYc 84. The bonds issued by Jensen & Son bear a 6 % coupon, payable semiannually. The bondmatures in 8 years and has a $1,000 face value. Currently, the bond sells at par. What is theyield to maturity?a. 5.87 %b. 5.97 %c. 6.00 %d. 6.09 %e. 6.17 %Difficulty level: MediumYIELD TO MATURITYa 85. A General Co. bond has an 8 % coupon and pays interest annually. The face value is $1,000and the current market price is $1,020.50. The bond matures in 20 years. What is the yield tomaturity?a. 7.79 %。