2025年CFA二级《公司金融》真题集

2025年CFA二级《公司金融》真题集考试时间：______分钟总分：______分姓名：______试卷内容1.Acompanyisevaluatinganewprojectwithaninitialinvestmentof$1,000,000.Theprojectisexpectedtogenerateannualcashinflowsof$300,000forthenextfiveyears.Thecompany'scostofcapitalis8%.CalculatetheNetPresentValue(NPV)oftheproject.Discusswhethertheprojectshouldbeacceptedbasedonyourcalculation,consideringtheconceptofopportunitycost.2.ExplaintheModigliani-Miller(MM)theoremwithassumptions.Afirmcurrentlyhasnodebtinitscapitalstructure.Thefirmisconsideringissuing$500,000indebttorepurchaseshares.Theinterestrateonthedebtis5%,andthefirm'staxrateis30%.AccordingtotheMMtheoremwithcorporatetaxes,whatistheexpectedimpactofthisdebtissuanceonthefirm'soverallvalue?Justifyyouranswer.3.Acompanyhasthefollowingbalancesheetitems:CurrentAssets:$400,000CurrentLiabilities:$200,000Inventory:$150,000AccountsReceivable:$100,000AccountsPayable:$50,000Short-termBankLoan:$100,000Calculatethecompany'scurrentratio,quickratio,andoperatingcashcycle.Discusstheimplicationsoftheseratiosforthecompany'sshort-termliquidityandworkingcapitalmanagement.4.Compareandcontrastthetrade-offtheoryofcapitalstructurewiththepeckingordertheory.Provideexamplesofsituationswhereacompanymightfollowthepeckingordertheoryinitsfinancingdecisions.Explaintheroleofbankruptcycostsandtaxconsiderationsinshapingthesetheories.5.Youaregiventhefollowinginformationfortwocompaniesinthesameindustry:CompanyA:Equitybeta=1.2,Debt-to-Equityratio=0.5,Costofdebt=6%,Taxrate=25%CompanyB:Equitybeta=1.5,Debt-to-Equityratio=1.0,Costofdebt=5%,Taxrate=30%Assumetherisk-freerateis3%andthemarketriskpremiumis5%.CalculatetheWeightedAverageCostofCapital(WACC)forbothCompanyAandCompanyB.DiscussthedifferencesintheirWACCsandthefactorscontributingtothesedifferences.6.Acompanyisconsideringinvestinginanewmachine.Themachinecosts$800,000andhasanexpectedeconomiclifeof8years.Itisexpectedtogenerateannualafter-taxcashflowsof$180,000.Thecompanyusesastraight-linedepreciationmethodfortaxpurposes,andthemachinehasnosalvagevalue.Thecompany'scostofcapitalis10%.CalculatethePaybackPeriodandtheDiscountedPaybackPeriodforthisinvestment.Basedonthesecalculations,discusstheadvantagesanddisadvantagesofusingthepaybackperiodasacapitalbudgetingdecisioncriterion.7.ExplainthekeystepsandconsiderationsinvaluingacompanyusingtheDiscountedCashFlow(DCF)method.DiscussthemainsourcesofuncertaintyandriskinDCFvaluationandhowtheycanbeaddressed(e.g.,sensitivityanalysis,scenarioanalysis).Provideanexampleofhowachangeinakeyinputvariable(otherthanthediscountrate)couldsignificantlyimpactthevaluationoutcome.8.Acompanyiscontemplatingadividendpolicydecision.Discussthedifferenttypesofdividendpolicies(e.g.,stable,residual,fixedpayoutratio).Analyzetheadvantagesanddisadvantagesofastabledividendpolicyforacompanywithpredictableearnings.Considertheimpactofastabledividendpolicyonthecompany'sstockpriceandinvestorperception.9.Explaintheconceptofoperationalriskinthecontextofcorporatefinance.Provideexamplesofoperationalrisksthatacompanymightfaceinitsinvestment,financing,andoperatingactivities.Discusshowcompaniescanmanageoperationalrisks,includingtheroleofinternalcontrols,insurance,anddiversification.10.Discussthefactorsthatinfluenceacompany'sdecisiontoengageininternationalcapitalbudgeting.AU.S.companyisconsideringinvestinginanewprojectinEurope.Theprojectrequiresaninitialinvestmentof€2millionandisexpectedtogenerateannualafter-taxcashflowsof€500,000for5years.Thecurrentexchangerateis1USD=0.90EUR,andthecompany'scostofcapitalis12%(denominatedinUSD).CalculatetheNPVoftheprojectinUSD.Assumetheexchangerateisexpectedtoremainconstantovertheproject'slife.Discussthepotentialrisksassociatedwithexchangeratefluctuationsandhowtheycouldimpacttheproject'sactualreturntotheU.S.company.试卷答案1.NPVCalculation:PVofinflows=$300,000*PVIFA(8%,5)=$300,000*3.9927=$1,197,810.NPV=$1,197,810-$1,000,000=$197,810.解析思路：计算项目未来五年的现金流入现值，使用年金现值系数PVIFA(8%,5)。将现值总和减去初始投资得到NPV。根据NPV准则，NPV大于0，意味着项目创造的价值大于初始投资成本，超过了投资的机会成本，因此应接受该项目。2.MMTheoremwithTaxesImpact:Theexpectedimpactofissuing$500,000indebtisanincreaseinthefirm'soverallvaluebythepresentvalueofthetaxshield.TaxShield=Debt*InterestRate*TaxRate=$500,000*5%*30%=$7,500peryear.PVofTaxShield=$7,500/0.08=$93,750.OverallValueIncrease=$93,750.解析思路：根据带税的MM定理，有税负的公司价值等于无税公司价值加上债务利息的税盾现值。计算债务带来的年税盾金额，然后将其折现得到税盾的现值。这个现值即为发行债务所带来的公司价值增加额。3.LiquidityRatios&OperatingCashCycle:*CurrentRatio=CurrentAssets/CurrentLiabilities=$400,000/$200,000=2.0.*QuickRatio=(CurrentAssets-Inventory)/CurrentLiabilities=($400,000-$150,000)/$200,000=$250,000/$200,000=1.25.*OperatingCashCycle=CATurnoverDays+InventoryTurnoverDays-PayablesTurnoverDays.*CATurnoverDays=365*CurrentLiabilities/CurrentAssets=365*$200,000/$400,000=182.5days.*InventoryTurnoverDays=365*Inventory/(AnnualCostofGoodsSold).AssumingCostofGoodsSold=CurrentAssets-AccountsReceivable=$400,000-$100,000=$300,000.InventoryTurnoverDays=365*$150,000/$300,000=182.5days.*PayablesTurnoverDays=365*AccountsPayable/(AnnualCOGS)=365*$50,000/$300,000=60.8days.*OperatingCashCycle=182.5+182.5-60.8=304.2days.Implications:Acurrentratioof2.0suggestsstrongshort-termliquidity,ascurrentassetscomfortablycovercurrentliabilities.Aquickratioof1.25isalsohealthy,indicatingliquidityevenwithoutrelyingoninventorysales.However,anoperatingcashcycleof304.2daysisquitelong,suggestingthatittakesalongtimeforthecompanytoconvertitsinvestmentsininventoryandreceivablesbackintocash.Thiscouldindicateinefficientworkingcapitalmanagement,tyingupsignificantcapital,andpotentiallystrainingcashflow.4.CapitalStructureTheoriesComparison&Examples:*Trade-offTheory:Suggestsfirmsbalancethetaxbenefitsofdebtagainstthecostsoffinancialdistress.Firmsissuedebtuptothepointwherethemarginalbenefitoftaxshieldsequalsthemarginalcostofpotentialbankruptcy.PeckingOrderTheory:Suggestsfirmshaveapreferenceforinternalfinancing(retainedearnings)overexternalfinancing,andifexternalfinancingisneeded,theypreferdebtoverequitytoavoidsignalingnegativeinformationtothemarket.*Examples(PeckingOrder):Acompanywithstronginternalcashflowmightprefertofundanewprojectusingretainedearningsratherthanissuingnewequity,whichmightsignalthatthestockisovervalued.Afirmneedingexternalcapitalmightchooseabankloan(debt)overissuingnewsharestoavoiddilutingownershipandsignalingthatitsstockisundervalued.*RoleofBankruptcyCosts&Taxes:Bankruptcycosts(directcostslikelegalfeesandindirectcostslikelossofcustomersorsales)makedebtriskyathighlevels.Taxesprovideabenefitasinterestexpenseistax-deductible.Thetrade-offtheoryincorporatesthese:firmsusedebtuptothepointwherethetaxbenefitoutweighstheexpectedcostofbankruptcy.5.WACCCalculation:*CompanyA:*EquityCostofCapital(Ke)=Risk-FreeRate+Beta*MarketRiskPremium=3%+1.2*5%=9.0%.*Debt=0.5*Equity=>Debt-to-Equity=0.5=>Equity/TotalValue=1/(1+0.5)=1/1.5=0.6667.Debt/TotalValue=0.5/1.5=0.3333.*WACC_A=(0.6667*9.0%)+(0.3333*6.0%*(1-0.25))=6.0%+1.5%=7.5%.*CompanyB:*Ke=3%+1.5*5%=9.0%.*Debt=1.0*Equity=>Debt-to-Equity=1.0=>Equity/TotalValue=1/(1+1.0)=0.5.Debt/TotalValue=1.0/2.0=0.5.*WACC_B=(0.5*9.0%)+(0.5*5.0%*(1-0.30))=4.5%+1.75%=6.25%.Differences&Factors:CompanyBhasalowerWACC(6.25%vs7.5%).Thisisprimarilyduetoitslowerdebt-to-equityratio,whichreducesitsfinancialriskandtheassociatedcosts(eventhoughthetaxshieldissmaller).CompanyBalsohasaslightlylowercostofdebt(5%vs6%)andaslightlyhighertaxrate(30%vs25%),whichslightlybenefitsitsWACC.6.PaybackPeriod&DiscountedPaybackPeriod:*PaybackPeriod:CumulativeCashFlow:Year0:-$800,000;Year1:-$800,000+$180,000=-$620,000;Year2:-$620,000+$180,000=-$440,000;Year3:-$440,000+$180,000=-$260,000;Year4:-$260,000+$180,000=-$80,000;Year5:-$80,000+$180,000=$100,000.PaybackoccursbetweenYear4andYear5.PaybackPeriod=4+($80,000/$180,000)=4+0.4444=4.44years.*DiscountedPaybackPeriod:DiscountedCashFlows:Year0:-$800,000;Year1:$180,000/(1.10)^1=$163,636.36;Year2:$180,000/(1.10)^2=$149,596.63;Year3:$180,000/(1.10)^3=$136,602.69;Year4:$180,000/(1.10)^4=$124,195.63;Year5:$180,000/(1.10)^5=$112,090.55.CumulativeDiscountedCF:Year0:-$800,000;Year1:-$636,363.64;Year2:-$486,767.01;Year3:-$350,164.32;Year4:-$226,068.69;Year5:-$114,978.14.DiscountedpaybackoccursbetweenYear4andYear5.DiscountedPaybackPeriod=4+($226,068.69/$112,090.55)=4+2.0227=6.02years.Advantages&Disadvantages(Payback):Advantages:Simpletocalculateandunderstand;providesaroughmeasureofriskandliquidity(shorterpaybackisgenerallypreferred).Disadvantages:Ignoresthetimevalueofmoney(usesnominalcashflows);ignorescashflowsoccurringafterthepaybackperiod;doesnotconsidertheproject'soverallprofitability.Thediscountedpaybackperiodaddressesthetimevalueofmoneybutstillignorescashflowsbeyondthepaybackpointandismorecomplextocalculate.7.DCFValuationSteps&Considerations:*Steps:1.Estimatefuturefreecashflows(FCFs)foraprojectionperiod(e.g.,5-10years).FCF=OperatingCashFlow-NetInvestmentinOperatingCapital.2.Estimateaterminalvalue(TV)tocapturevaluebeyondtheprojectionperiod,oftenusingthePerpetuityGrowthModel:TV=FinalYearFCF*(1+g)/(WACC-g),where'g'isthelong-termgrowthrate.3.CalculatethepresentvalueoftheprojectedFCFsandtheterminalvalueusingthecompany'sWACCasthediscountrate:EnterpriseValue=PV(FCFs)+PV(TV).4.Adjustfornon-operatingassets/liabilitiesandnetdebttogetEquityValue.EquityValue=EnterpriseValue-NetDebt.5.DivideEquityValuebythenumberofsharesoutstandingtogetIntrinsicSharePrice.*Uncertainty&Risk:*Sources:EstimationoffutureFCFs(salesgrowth,operatingmargins,capitalexpenditures),determinationofthediscountrate(WACCinputs),estimationoftheterminalgrowthrate(g),forecastperiodlength.*Addressing:Sensitivityanalysis(varyingkeyinputslikeWACCorgtoseeimpactonvaluation);scenarioanalysis(developingbest-case,base-case,worst-casescenarios);probability-weightedanalysis(ifprobabilitiescanbeassignedtoscenarios).*ExampleofInputImpact:AsignificantincreaseintheestimatedWACC(e.g.,duetohigherperceivedriskorarisingmarketrate)woulddiscountfuturecashflowsmoreheavily,leadingtoasubstantialdecreaseintheDCFvaluation.Conversely,anincreaseinthelong-termgrowthrate'g'wouldleadtoahigherterminalvalueandthusahigheroverallvaluation,assumingtheWACCremainsconstant.8.DividendPolicyDiscussion:*Types:*Stable/Regular:Payoutsremainconstantorgrowatapredictablerate.Signaloffinancialhealthandstability.*Residual:Payoutwhateverearningsremainafterfundinginvestments.Indicativeofgrowthpriority.*FixedPayoutRatio:Payapercentageofearnings.Relativelysimplebutcanleadtovolatiledividendpayments.*AdvantagesofStableDividend(PredictableEarnings):Providesinvestorswithasteadyincomestream,whichisattractivetoincome-focusedinvestors.Signalofmanagementconfidenceinfutureearningsstability.Canleadtoahigherstockpriceduetoreduceduncertainty.Reducesthecostofcapitalasinvestorsvaluethestability.*Disadvantages:Reducescompany'sfinancialflexibilitytoretainearningsforreinvestmentifearningsdeclineunexpectedly.Dividendincreasescanbeseenasirreversiblecommitments;cuttingdividendscanbeperceivednegativelybythemarket,potentiallycausingasignificantdropinstockprice.9.OperationalRiskinCorporateFinance:*Concept:Operationalriskreferstotheriskoflossresultingfrominadequateorfailedinternalprocesses,people,systems,orfromexternalevents.Itisdistinctfrommarketrisk(pricefluctuations)andcreditrisk(counterpartydefault).*Examples:*Investment:Failureofafinancialmodelleadingtopoorinvestmentdecisions;systemoutagepreventingtradeexecution;fraudbyemployeesinthetradingdepartment.*Financing:Errorincalculatingthecorrectinterestrateonaloan;incorrectreportingoffinancialpositionleadingtomisborrowing;failureofapaymentsystemcausingdefaultonobligations.*OperatingActivities:Supplychaindisruptionaffectingproduction;inaccurateinventorymanagementleadingtostockoutsorobsolescence;databreachcompromisingsensitivecustomerorfinancialinformation;legalpenaltiesduetonon-compliancewithregulations.*Management:Companiesmanageoperationalriskthroughrobustinternalcontrols(policies,procedures,segregationofduties),insurance(coverageforspecificeventslikecyberattacksornaturaldisasters),redundancyincriticalsystems,employeetrainingandoversight,strongcorporategovernance,anddiversificationofsuppliersandcustomerstomitigatespecificeventrisks.10.InternationalCapitalBudgetingFactors&NPVCalculation:*FactorsInfluencingDecision:Exchangeraterisk,politicalrisk,economicrisk(inflation,interestrates)intheforeigncountry,currencycontrols,transferpricingissues,differenceintaxlawsandregulations,culturaldifferences,comparativeadvantage,accesstonewmarketsorresources,competitivelandscape.*NPVCalculatio