2025年CFA《固定收益》冲刺押题

2025年CFA《固定收益》冲刺押题考试时间：______分钟总分：______分姓名：______试卷内容一、选择题1.Acompanyissuesa$1,000facevaluebondwitha5%annualcouponrate,payablesemi-annually,anda10-yearmaturity.Ifthemarketyieldtomaturity(YTM)is6%,whatistheapproximatepriceofthebond?a)$926.40b)$1,000.00c)$1,075.80d)$1,134.202.WhichofthefollowingstatementsregardingdurationisTRUE?a)Abondwithhighercouponpaymentsgenerallyhaslowerduration.b)Durationmeasuresthesensitivityofabond'spricetochangesintheyieldtomaturity.c)Abond'smodifieddurationisalwaysgreaterthanitsMacaulayduration.d)Durationisthesameasconvexity.3.Thespotratefor1-yearinterestis2%andthespotratefor2-yearinterestis2.5%.Usingthepureexpectationstheory,theimplied1-yearforwardrateoneyearfromnowisapproximately:a)2.0%b)2.25%c)2.5%d)2.75%4.Whichtypeofriskisprimarilyassociatedwiththepossibilitythatabondissuerwilldefaultonitspayments?a)Interestrateriskb)Liquidityriskc)Creditriskd)Inflationrisk5.Abondportfoliomanagerusesdurationmatchingtoimmunizeaportfolio'svalue.Ifmarketinterestratesrise,theexpectedeffectontheportfolio'svalueis:a)Anincreaseduetothepositiveconvexityoftheportfolio.b)Adecrease,preciselyoffsetbytheimmunizationstrategy.c)Anincrease,astheportfolio'sdurationwilldecrease.d)Unpredictablewithoutknowingthespecificportfoliocomposition.6.Whichofthefollowingbondfeaturesmakesitmoresensitivetochangesincreditquality?a)Callableb)Puttablec)Convertibled)Floatingrate7.TheyieldspreadbetweenacorporatebondandacomparableTreasurybondisknownasthe:a)Macaulaydurationb)Effectivedurationc)Creditspreadd)Convexitymeasure8.AbondwithaCDF(CumulativeDistributionFunction)of0.10atadefaultrateof5%hasaProbabilityofDefault(PD)of:a)0.05b)0.10c)0.15d)0.209.Whichofthefollowingstatementsaboutamortgage-backedsecurity(MBS)isgenerallyTRUE?a)MBSpassthroughtheprincipalandinterestpaymentsoftheunderlyingmortgagestotheinvestors.b)MBSaretypicallyissuedbythefederalgovernmentandhavezerodefaultrisk.c)PrepaymentriskisgenerallylowerforMBSthanforcorporatebonds.d)MBSarealwayssecuredbycommercialrealestateloans.10.Theprocessofestimatingtheexpectedloss(EAD)fromapotentialdefaultofacounterpartyinaderivativestransactionispartof:a)Durationmatchingb)CreditVaR(CVaR)calculationc)ValueatRisk(VaR)calculationd)Immunizationstrategyimplementation11.Whichofthefollowingisgenerallyconsideredapositivefactorforabondissuer'screditquality?a)Highdebt-to-equityratiob)Consistentrevenuegrowthc)Frequentchangesinmanagementd)Decliningcashflowfromoperations12.Abondwithadurationof5yearsissubjectedtoa1%increaseinmarketinterestrates.Theapproximatepercentagechangeinthebond'spriceis:a)+0.20%b)+0.50%c)-4.00%d)-5.00%13.Theconvexityofabondmeasuresits:a)Sensitivitytochangesininterestrates.b)Therateatwhichthedurationchangesasinterestrateschange.c)Thesecondderivativeofthebondprice-yieldcurve.d)Theprobabilityofdefault.14.Whichofthefollowingfixedincomeinstrumentstypicallyoffersthehighestlevelofliquidity?a)CorporatebondsratedBBb)U.S.Treasurybillsc)Mortgagesinanon-conformingMBSd)Convertiblebondsissuedbyasmallcompany15.Abondhasayieldtomaturityof4%andacreditspreadof1%.Whatisitstotalyield?a)1%b)3%c)4%d)5%二、计算题1.Youareanalyzinga$1,000facevaluebondwitha7%annualcouponrate,paidsemi-annually,and8yearsremainingtomaturity.Thebondiscurrentlytradingatapriceof$920.Calculatethebond'syieldtomaturity(YTM)usingafinancialcalculatororspreadsheetfunction.Provideyouranswerinpercentageterms,roundedtotwodecimalplaces.2.Abondportfolioconsistsoftwobonds:*BondA:$50millionfacevalue,5%coupon,5yearstomaturity,currentlypricedat101%offacevalue.Duration=4.5years.*BondB:$30millionfacevalue,4%coupon,10yearstomaturity,currentlypricedat98%offacevalue.Duration=7.0years.Calculatetheweightedaveragedurationoftheportfolio.3.Youaremanagingabondportfoliowithatotalvalueof$10million.Theportfolio'sdurationis6.0years.Themarketyieldiscurrently3.5%.Youexpectmarketyieldstoincreaseto4.0%nextmonth.Usingtheimmunizationprinciple,calculatetheexpectedpercentagechangeintheportfolio'svalueduesolelytothechangeininterestrates.Assumetheportfolioisperfectlyimmunized.4.Acompanyissuesa5-yearbondwithafacevalueof$1millionandacouponrateof5%,paidannually.Thebond'screditspreadis1.5%.Calculatethetotalcashflowsreceivedbyaninvestoriftheypurchasethebondatparvalueandholdituntilmaturity.Assumenodefaultoccurs.5.Youareconsideringa10-yearbondwitha6%couponrate,paidsemi-annually.Thebondhasadurationof7.2yearsandaconvexityof120.Ifmarketyieldschangefrom6%to6.5%,calculatetheapproximatenewpriceofthebond.Usebothdurationandconvexitytoestimatethepricechange.三、简答题1.ExplainthedifferencebetweenMacaulaydurationandmodifiedduration.Whyismodifieddurationmorecommonlyusedinportfoliomanagement,particularlyforimmunizationstrategies?2.Abondinvestorisconsideringpurchasingacorporatebond.Explainthekeyfactorstheinvestorshouldanalyzetoassessthecreditriskassociatedwiththebond.IncludedefinitionsofProbabilityofDefault(PD),LossGivenDefault(LGD),andExposureatDefault(EAD)inyouranswer.3.Describetheconceptofinterestrateriskforafixedincomeinvestor.Whataretheprimarymeasuresusedtoquantifyinterestraterisk,andhowcananinvestormanagethisriskwithinaportfolio?4.Explainthepurposeofabond'scallprovisionfromtheperspectiveofboththeissuerandtheinvestor.Whatarethekeyimplicationsofacallprovisiononabond'syieldandpricebehavior?5.Distinguishbetweenamortgage-backedsecurity(MBS)andanasset-backedsecurity(ABS).Whataretheprimarysourcesofriskassociatedwitheach?---结束试卷答案一、选择题1.a2.b3.b4.c5.b6.a7.c8.b9.a10.b11.b12.d13.c14.b15.d二、计算题1.YTMCalculation:*N=8*2=16(periods)*PMT=$1,000*7%/2=$35(periodiccouponpayment)*FV=$1,000*PV=-$920(currentprice,enteredasnegative)*Usingafinancialcalculatororspreadsheet(e.g.,Excel'sYIELDfunction),solvefortheperiodicrate(I/Yorrate).*PeriodicYTM=3.8454%*AnnualYTM=3.8454%*2=7.69%(roundedtotwodecimalplaces)2.WeightedAverageDurationCalculation:*W_A=$50M/($50M+$30M)=0.625*W_B=$30M/($50M+$30M)=0.375*WAD=(W_A*Duration_A)+(W_B*Duration_B)*WAD=(0.625*4.5years)+(0.375*7.0years)*WAD=2.8125+2.625=5.4375years(roundedtoonedecimalplace,5.4years)3.PortfolioValueChangeCalculation:*ChangeinYTM=4.0%-3.5%=0.5%=0.005*Approximatepercentagechangeinvalue=-Duration*ΔYTM*Approximatepercentagechange=-6.0*0.005=-0.03or-3.0%*Sincetheportfolioisperfectlyimmunized,thechangeinvalueduetointerestratechangesistheoreticallyzero.However,usingtheformulagives-3.0%.Thequestionasksfortheexpectedchangebasedontheduration,implyingtheimmunizationholdsperfectlyonlyintheory.Theansweris-3.0%.4.TotalCashFlowsCalculation:*AnnualCouponPayment=$1,000,000*5%=$50,000*TotalCouponPaymentsover5years=$50,000*5=$250,000*FaceValueReceivedatMaturity=$1,000,000*TotalCashFlows=TotalCouponPayments+FaceValue*TotalCashFlows=$250,000+$1,000,000=$1,250,0005.PriceChangeEstimationCalculation:*ChangeinYTM=6.5%-6.0%=0.5%=0.005*Approximatepricechangeusingduration=-Duration*ΔYTM*Approximatepricechange=-7.2*0.005=-0.036or-3.6%*Convexityadjustment=0.5*Convexity*(ΔYTM)^2*Convexityadjustment=0.5*120*(0.005)^2=0.5*120*0.000025=0.0015or0.15%*Totalapproximatepercentagechange=-3.6%+0.15%=-3.45%*Approximatenewprice=OriginalPrice*(1+Approximatepercentagechange)*Approximatenewprice=$1,000*(1-0.0345)=$965.50三、简答题1.Macaulayvs.ModifiedDuration:*Macaulaydurationmeasurestheweightedaveragetimeuntilcashflowsarereceived,weightedbythepresentvalueofeachcashflow.Itisexpressedinyears.*Modifieddurationmeasuresthepercentagechangeinabond'spricefora1%changeinyieldtomaturity.Itincorporatesthebond'syieldtomaturityandisexpressedasadecimalorpercentage.*Modifieddurationismorecommonlyusedforimmunizationstrategiesandcomparingtheinterestratesensitivityofbondswithdifferentyieldsbecauseitstandardizesthemeasureofpricesensitivityrelativetoyieldandisdirectlyusableintheimmunizationformula(PortfolioDuration=TargetDuration).Macaulaydurationisusefulforunderstandingthetimingofcashflowsbutisnotdirectlycomparableacrossbondswithdifferentyieldsormaturitieswithoutmodification.2.CreditRiskAssessmentFactors:*Creditriskistheriskthatabondissuerwilldefaultonitsprincipaland/orinterestpayments.*Keyfactorsforassessingcreditriskinclude:*CreditRatings:RatingsfromagencieslikeMoody's,S&P,andFitchprovideanassessmentoftheissuer'screditworthiness(e.g.,AAA,AA,A,BBB,BB,B,C,D).Higherratingsindicatelowerdefaultrisk.*FinancialStatementAnalysis:Examiningtheissuer'sbalancesheet(debtlevels,assetquality),incomestatement(revenue,profitability,expenses),andcashflowstatement(abilitytogeneratecashtomeetobligations)forfinancialhealthandstability.*ProbabilityofDefault(PD):Theestimatedlikelihoodthataborrowerwilldefaultoveraspecificperiod.*LossGivenDefault(LGD):Theestimatedpercentageofabond'svaluethatwillbelostiftheissuerdefaults.*ExposureatDefault(EAD):Theamountofthebond'svaluethatisexposedtolossintheeventofdefault.*IndustryandEconomicConditions:Theoverallhealthoftheissuer'sindustryandthebroadermacroeconomicenvironmentcanimpactcreditrisk.*CovenantAnalysis:Thetermsandconditions(covenants)inthebondindenturethatprotectinvestors(e.g.,restrictionsonadditionaldebt,requirementsformaintainingcertainfinancialratios).3.InterestRateRisk:*Interestrateriskistheriskthatchangesinmarketinterestrateswillnegativelyaffectthevalueofafixedincomeinvestment.Whenmarketratesrise,thevalueofexistingfixed-ratebondsfalls,andviceversa.*Primarymeasurestoquantifyinterestrateriskinclude:*MacaulayDuration:Measurestheweightedaveragetimeuntilcashflowsarereceived.Bondswithlongerdurationsaremoresensitivetointerestratechanges.*ModifiedDuration:Measuresthepercentagechangeinpricefora1%changeinyield.Itisamoredirectmeasureofpricevolatilityandisusedforimmunization.*Convexity:Measuresthecurvatureoftheprice-yieldrelationship.Itindicateshowthedurationchangesasyieldschange.Positiveconvexitymeanstheprice-yieldcurveisupwardsloping,soasyieldsrise,theincreaseindurationislessthanifdurationwereconstant,andviceversa.Thisprovidesamoreaccurateestimateofpricechange,especiallyforlargeryieldshifts.*ManagementStrategies:*DurationMatching:Matchingthedurationofabondportfoliototheinvestor'stargetholdingperiodorabenchmarkratetoimmunizetheportfolioagainstinterestratechanges.*Hedging:Usinginterestratederivatives(e.g.,futures,options,swaps)tooffsetpotentialinterestrateriskexposure.*Diversification:Holdingaportfolioofbondswithvaryingmaturitiesanddurationstospreadrisk.*Laddering:Purchasingbondswithstaggeredmaturitydatestoreduce集中maturityriskandprovideregularcashflowforreinvestment.*InvestinginFloating-RateSecurities:Bondswithcouponsthatadjustbasedonmarketrates,reducingexposuretoparallelyieldcurveshifts.4.CallProvision:*Issuer'sPerspective:Acallprovisiongivestheissuertheright(butnottheobligation)toredeemthebondbeforeitsmaturitydate,usuallyataspecifiedcallprice(oftenparvalueplusapremium).Thisisadvantageousfortheissuerifinterestratesfallsignificantlyafterthebondisissued.Theycancallbackthehigh-couponbondandissuenewdebtatthelowerprevailingrates,reducingtheirfinancingcosts.*Investor'sPerspective:Acallprovisionisgenerallydisadvantageousfortheinvestor.Itlimitsthepotentialcapitalappreciationofthebondbecausetheissuercanforcetheinvestortosellthebondbackatthecallprice,whichmaybebelowthemarketpriceifinterestrateshavefallen.Thisresultsinreinvestmentrisk–theinvestormustreinvesttheprincipalatpotentiallylowerinterestrates.Callablebondstypicallyofferahigheryield(callspread)tocompensateinvestorsforthisrisk.*Implications:Callablebondstendtohavelowerpricesthannon-callablebondswithidenticalcharacteristicswhenissuedandwillsellatapremiumtoparvalueifmarketratesfallsignificantlybelowthebond'scouponrate,untilthecallprotectionperiodexpires.Theirpricesensitivitytointerestrateincreases(positiveconvexity)ishigherthannon-callablebonds.5.MBSvs.ABS:*Mortgage-BackedSecurity(MBS):Apass-throughsecuritywhoseprincipalandinterestpaymentsarederivedfromapoolofmortgageloans.Investorsreceivepaymentsthatareproportionaltotheirownershipinthepool.MBSaret