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P500,asaproxyforthemarket,andthusforsystematicrisk.C4.TheSecurityRiskEvaluationbookpublishedbyMerrillLynchreliesonthe_mostrecentmonthlyobservationstocalculateregressionparameters.A)12B)36C)60D)120E)noneoftheaboveRationale:
Mostpublishedbetasandotherregressionparameters,includingthosepublishedbyMerrillLynch,arebasedonfiveyearsofmonthlyreturndata.C5.TheSecurityRiskEvaluationbookpublishedbyMerrillLynchusesthe_asaproxyforthemarketportfolio.A)DowJonesIndustrialAverageB)DowJonesTransportationAverageC)S&
P500IndexD)Wilshire5000E)noneoftheaboveRationale:
TheMerrillLynchdata(andmuchoftheotherpublisheddatasets)arebasedontheS&
P500indexasamarketproxy.E6.Accordingtotheindexmodel,covariancesamongsecuritypairsareA)duetotheinfluenceofasinglecommonfactorrepresentedbythemarketindexreturnB)extremelydifficulttocalculateC)relatedtoindustry-specificeventsD)usuallypositiveE)AandDRationale:
Mostsecuritiesmovetogethermostofthetime,andmovewithamarketindex,ormarketproxy.C7.TheinterceptcalculatedbyMerrillLynchintheregressionequationsisequaltoA)intheCAPMB)+rf(1+)C)+rf(1-)D)1-E)noneoftheaboveRationale:
TheinterceptthatMerrillLynchcallsalphaisreally,usingtheparametersoftheCAPM,anestimateofa+rf(1-b).Theapparentjustificationforthisprocedureisthat,onamonthlybasis,rf(1-b)issmallandisapttobeswampedbythevolatilityofactualstockreturns.B8.Analystsmayuseregressionanalysistoestimatetheindexmodelforastock.Whendoingso,theslopeoftheregressionlineisanestimateof_.A)theoftheassetB)theoftheassetC)theoftheassetD)theoftheassetE)noneoftheaboveRationale:
Theslopeoftheregressionline,b,measuresthevolatilityofthestockversusthevolatilityofthemarket.D9.Inafactormodel,thereturnonastockinaparticularperiodwillberelatedto_.A)firm-specificeventsB)macroeconomiceventsC)theerrortermD)bothAandBE)neitherAnorBRationale:
Thereturnonastockisrelatedtobothfirm-specificandmacroeconomicevents.E10.RosenbergandGuyfoundthat_helpedtopredictafirmsbeta.A)thefirmsfinancialcharacteristicsB)thefirmsindustrygroupC)firmsizeD)bothAandBE)A,BandCallhelpedtopredictbetas.Rationale:
RosenbergandGuyfoundthataftercontrollingforthefirmsfinancialcharacteristics,thefirmsindustrygroupwasasignificantpredictorofthefirmsbeta.D11.Iftheindexmodelisvalid,_wouldbehelpfulindeterminingthecovariancebetweenassetsKandL.A)kB)LC)MD)alloftheaboveE)noneoftheaboveRationale:
IftheindexmodelisvalidA,B,andCaredeterminantsofthecovariancebetweenKandL.D12.RosenbergandGuyfoundthat_helpedtopredictfirmsbetas.A)debt/assetratiosB)marketcapitalizationC)varianceofearningsD)alloftheaboveE)noneoftheaboveRationale:
RosenbergandGuyfoundthatA,B,andCweredeterminantsoffirmsbetas.B13.Ifafirmsbetawascalculatedas0.6inaregressionequation,MerrillLynchwouldstatetheadjustedbetaatanumberA)lessthan0.6butgreaterthanzero.B)between0.6and1.0.C)between1.0and1.6.D)greaterthan1.6.E)zeroorless.Rationale:
Betas,onaverage,equalone;
thus,betasovertimeregresstowardthemean,or1.Therefore,ifhistoricbetasarelessthan1,adjustedbetasarebetween1andthecalculatedbeta.C14.ThebetaofExxonstockhasbeenestimatedas1.2byMerrillLynchusingregressionanalysisonasampleofhistoricalreturns.TheMerrillLynchadjustedbetaofExxonstockwouldbe_.A)1.20B)1.32C)1.13D)1.0E)noneoftheaboveRationale:
Adjustedbeta=2/3samplebeta+1/3
(1);
=2/3(1.2)+1/3=1.13.A15.Assumethatstockmarketreturnsdonotresembleasingle-indexstructure.Aninvestmentfundanalyzes100stocksinordertoconstructamean-varianceefficientportfolioconstrainedby100investments.Theywillneedtocalculate_expectedreturnsand_variancesofreturns.A)100,100B)100,4950C)4950,100D)4950,4950E)noneoftheaboveRationale:
Theexpectedreturnsofeachofthe100securitiesmustbecalculated.Inaddition,the100variancesaroundthesereturnsmustbecalculated.C16.Assumethatstockmarketreturnsdonotresembleasingle-indexstructure.Aninvestmentfundanalyzes100stocksinordertoconstructamean-varianceefficientportfolioconstrainedby100investments.Theywillneedtocalculate_covariances.A)45B)100C)4,950D)10,000E)noneoftheaboveRationale:
(n2-n)/2=(10,000-100)/2=4,950covariancesmustbecalculated.B17.Assumethatstockmarketreturnsdofollowasingle-indexstructure.Aninvestmentfundanalyzes200stocksinordertoconstructamean-varianceefficientportfolioconstrainedby200investments.Theywillneedtocalculate_estimatesofexpectedreturnsand_estimatesofsensitivitycoefficientstothemacroeconomicfactor.A)200;
19,900B)200;
200C)19,900;
200D)19,900;
19.900E)noneoftheaboveRationale:
Forasingle-indexmodel,n(200),expectedreturnsandn(200)sensitivitycoefficientstothemacroeconomicfactormustbeestimated.A18.Assumethatstockmarketreturnsdofollowasingle-indexstructure.Aninvestmentfundanalyzes500stocksinordertoconstructamean-varianceefficientportfolioconstrainedby500investments.Theywillneedtocalculate_estimatesoffirm-specificvariancesand_estimatesforthevarianceofthemacroeconomicfactor.A)500;
1B)500;
500C)124,750;
1D)124,750;
500E)250,000;
500Rationale:
Forthesingle-indexmodel,n(500)estimatesoffirm-specificvariancesmustbecalculatedand1estimateforthevarianceofthecommonmacroeconomicfactor.C19.Considerthesingle-indexmodel.Thealphaofastockis0%.Thereturnonthemarketindexis16%.Therisk-freerateofreturnis5%.Thestockearnsareturnthatexceedstherisk-freerateby11%andtherearenofirm-specificeventsaffectingthestockperformance.Theofthestockis_.A)0.67B)0.75C)1.0D)1.33E)1.50Rationale:
11%=0%+b(11%);
b=1.0.C20.Supposeyouheldawell-diversifiedportfoliowithaverylargenumberofsecurities,andthatthesingleindexmodelholds.Iftheofyourportfoliowas0.20andMwas0.16,theoftheportfoliowouldbeapproximately_.A)0.64B)0.80C)1.25D)1.56E)noneoftheaboveRationale:
s2p/s2m=b2;
(0.2)2/(0.16)2=1.56;
b=1.25.C21.Supposethefollowingequationbestdescribestheevolutionofovertime:
t=0.25+0.75t-1Ifastockhadaof0.6lastyear,youwouldforecastthetobe_inthecomingyear.A)0.45B)0.60C)0.70D)0.75E)noneoftheaboveRationale:
0.25+0.75(0.6)=0.70.A22.MerrillLynchestimatestheindexmodelforastockusingregressionanalysisinvolvingtotalreturns.Theyestimatedtheinterceptintheregressionequationat6%andtheat0.5.Therisk-freerateofreturnis12%.Thetrueofthestockis_.A)0%B)3%C)6%D)9%E)noneoftheaboveRationale:
6%=a+12%(1-0.5);
a=0%.C23.TheindexmodelforstockAhasbeenestimatedwiththefollowingresult:
RA=0.01+0.9RM+eAIfM=0.25andR2A=0.25,thestandarddeviationofreturnofstockAis_.A)0.2025B)0.2500C)0.4500D)0.8100E)noneoftheaboveRationale:
R2=b2s2M/s2;
0.25=(0.81)(0.25)2/s2;
s=0.4500.C24.TheindexmodelforstockBhasbeenestimatedwiththefollowingresult:
RB=0.01+1.1RM+eBIfM=0.20andR2B=0.50,thestandarddeviationofthereturnonstockBis_.A)0.1111B)0.2111C)0.3111D)0.4111E)noneoftheaboveRationale:
0.5=(1.1)2(0.2)2/s2;
s=0.3111.D25.Supposeyouforecastthatthemarketindexwillearnareturnof15%inthecomingyear.Treasurybillsareyielding6%.TheunadjustedofMobilstockis1.30.AreasonableforecastofthereturnonMobilstockforthecomingyearis_ifyouuseMerrillLynchadjustedbetas.A)15.0%B)15.5%C)16.0%D)16.8%E)noneoftheaboveRationale:
Adjustedbeta=2/3(1.3)+1/3=1.20;
E(rM)=6%+1.20(9%)=16.8%.B26.TheindexmodelhasbeenestimatedforstocksAandBwiththefollowingresults:
RA=0.01+0.5RM+eARB=0.02+1.3RM+eBM=0.25(eA)=0.20(eB)=0.10ThecovariancebetweenthereturnsonstocksAandBis_.A)0.0384B)0.0406C)0.1920D)0.0050E)0.4000Rationale:
Cov(RA,RB)=bAbBs2M=0.5(1.3)(0.25)2=0.0406.C27.TheindexmodelhasbeenestimatedforstocksAandBwiththefollowingresults:
RA=0.01+0.8RM+eARB=0.02+1.2RM+eBM=0.20(eA)=0.20(eB)=0.10ThestandarddeviationforstockAis_.A)0.0656B)0.0676C)0.2561D)0.2600E)noneoftheaboveRationale:
A=(0.8)2(0.2)2+(0.2)21/2=0.2561.B28.TheindexmodelhasbeenestimatedforstockAwiththefollowingresults:
RA=0.01+0.8RM+eAM=0.20(eA)=0.10ThestandarddeviationofthereturnforstockAis_.A)0.0356B)0.1886C)0.1600D)0.6400E)noneoftheaboveRationale:
B=(.8)2(0.2)2+(0.1)21/2=0.1886.E29.SecurityreturnsA)arebasedonbothmacroeventsandfirm-specificevents.B)arebasedonfirm-specificeventsonly.C)areusuallypositivelycorrelatedwitheachother.D)AandB.E)AandC.Rationale:
Stockreturnsareusuallyhighlypositivelycorrelatedwitheachother.Stockreturnsareaffectedbybothmacroeconomiceventsandfirm-specificevents.D30.