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CHAPTER8
ANINTRODUCTIONTOASSETPRICINGMODELS
TRUE/FALSEQUESTIONS
(t)1Oneoftheassumptionsofcapitalmarkettheoryisthatinvestorscanborrowor
lendattheriskfreerate.
(f)2Sincemanyoftheassumptionsmadebythecapitalmarkettheoryareunrealistic,
thetheoryisnotapplicableintherealworld.
(t)3Arisk-freeassetisoneinwhichthereturniscompletelyguaranteed,thereisno
uncertainty.
(t)4Themarketportfolioconsistsofallriskyassets.
(f)5Theintroductionoflendingandborrowingseverelylimitstheavailablerisk/return
opportunities.
(t)6Thecapitalmarketlineisthetangentlinebetweentheriskfreerateofreturnand
theefficientfrontier.
(t)7Theportfolioonthecapitalmarketlinearecombinationsoftherisk-freeassetand
themarketportfolio.
(t)8IfyouborrowmoneyattheRFRandinvestthemoneyinthemarketportfolio,the
rateofreturnonyourportfoliowillbehigherthanthemarketrateofreturn.
(f)9Studieshaveshownthatawelldiversifiedinvestorneedsasfewasfivestocks.
(f)10Betaisameasureofunsystematicrisk.
(f)11ThebetasofthosecompaniescompiledbyValueLineInvestmentServicestendto
bealmostidenticaltothosecompiledbyMerrillLynch.
(t)12Securitieswithreturnsthatlieabovethesecuritymarketlineareundervalued.
(f)13Securitieswithreturnsthatliebelowthesecuritymarketlineareundervalued.
(t)14UndertheCAPMframework,theintroductionoflendingandborrowingat
differentialratesleadstoanon-linearcapitalmarketline.
(t)15Correlationofthemarketportfolioandthezero-betaportfoliowillbelinear.
(f)16Therecanbeonlyonezero-betaportfolio.
(t)17Theexistenceoftransactioncostsindicatesthatatsomepointtheadditionalcost
ofdiversificationrelativetoitsbenefitwouldbeexcessiveformostinvestors.
(t)18Studieshaveshownthebetaismorestableforportfoliosthanforindividual
securities.
(t)19Ifthemarketportfolioismean-varianceefficientithasthelowestriskforagiven
levelofreturnamongtheattainablesetofportfolios.
(f)20UsingtheS&Pindexastheproxymarketportfoliowhenevaluatingaportfolio
managerrelativetotheSMLwilltendtounderestimatethemanager's
performance.
(t)21IfanincorrectproxymarketportfoliosuchastheS&Pindexisusedwhen
developingthesecuritymarketline,theslopeofthelinewilltendtobe
underestimated.
(f)22Sincethemarketportfolioisreasonableintheory,thereforeitiseasyto
implementwhentestingorusingtheCAPM.
⑴23TheplanningperiodfortheCAPMisthesamelengthoftimeforeveryinvestor.
MULTIPLECHOICEQUESTIONS
(d)1WhichofthefollowingisnotanassumptionoftheCapitalMarketTheory?
a)AllinvestorsareMarkowitzefficientinvestors.
b)Allinvestorshavehomogeneousexpectations.
c)Therearenotaxesortransactioncostsinbuyingorsellingassets.
d)Allinvestmentsareindivisiblesoitisimpossibletobuyorsellfractional
shares.
e)Allinvestorshavethesameoneperiodtimehorizon.
(a)2Therateofreturnonariskfreeassetshouldequalthe
a)Longrunrealgrowthrateoftheeconomy.
b)Longrunnominalgrowthrateoftheeconomy.
c)Shortrunrealgrowthrateoftheeconomy.
d)Shortrunnominalgrowthrateoftheeconomy,
e)Primerateofinterest.
(b)3Whichofthefollowingstatementsabouttherisk-freeassetiscorrect?
a)Therisk-freeassetisdefinedasanassetforwhichthereisuncertainty
regardingtheexpectedrateofreturn.
b)Thestandarddeviationofreturnfortherisk-freeassetisequaltozero.
c)Thestandarddeviationofreturnfortherisk-freeassetcannotbezero,
sincedivisionbyzeroisundefined.
d)Choicesaandb
e)Choicesaandc
(a)4WhatdoesWRF=-0.5()mean?
a)Theinvestorcanborrowmoneyattherisk-freerate.
b)Theinvestorcanlendmoneyatthecurrentmarketrate.
c)Theinvestorcanborrowmoneyatthecurrentmarketrate.
d)Theinvestorcanborrowmoneyattheprimerateofinterest.
e)Theinvestorcanlendmoneyattheprimerateofinterest.
(e)5Themarketportfolioconsistsofall
a)NewYorkStockExchangestocks.
b)Highgradestocksandbonds.
c)Stocksandbonds.
d)U.S.andnon-U.S.stocksandbonds.
e)Riskyassets.
(c)6Theseparationtheoremdividesdecisionsonfromdecisionson.
a)Lending,borrowing
b)Risk,return
c)Investing,financing
d)Riskyassets,riskfreeassets
e)Buyingstocks,buyingbonds
(d)7Whenidentifyingundervaluedandovervaluedassets,whichofthefollowing
statementsisfalse?
a)Anassetisproperlyvaluedifitsestimatedrateofreturnisequaltoits
requiredrateofreturn.
b)Anassetisconsideredovervaluedifitsestimatedrateofreturnisbelowits
requiredrateofreturn.
c)Anassetisconsideredundervaluedifitsestimatedrateofreturnisabove
itsrequiredrateofreturn.
d)Anassetisconsideredovervaluedifitsrequiredrateofreturnisbelowits
estimatedrateofreturn.
e)Noneoftheabove(thatis,allaretruestatements)
(c)8Thelineofbestfitforascatterdiagramshowingtheratesofreturnofan
individualriskyassetandthemarketportfolioofriskyassetsovertimeiscalled
the
a)Securitymarketline.
b)Capitalassetpricingmodel.
c)Characteristicline.
d)Lineofleastresistance.
e)Marketline.
(e)9Utilizingthesecuritymarketlineaninvestorowningastockwithabetaof-2
wouldexpectthestock*sreturnto________inamarketthatwasexpectedto
decline15percent.
a)Riseorfallanindeterminateamount
b)Fallby3%
c)Fallby30%
d)Riseby13%
e)Riseby30%
(d)10Allofthefollowingquestionsremaintobeansweredintherealworldexcept
a)Whatisagoodproxyforthemarketportfolio?
b)Whathappenswhenyoucannotborroworlendattheriskfreerate?
c)Howgoodisthecapitalassetmodelasapredictor?
d)Whatisthebetaofthemarketportfolioofriskyassets?
e)Whatisthestabilityofbetaforindividualstocks?
(e)11Thecorrelationcoefficientbetweenthemarketreturnandarisk-freeassetwould
a)be+oo.
b)be-oo.
c)be+1.
d)be-1.
e)beZero.
(a)12Asthenumberofsecuritiesinaportfolioincreases,theamountofsystematicrisk
a)Remainsconstant.
b)Decreases.
c)Increases.
d)Changes.
e)Noneoftheabove
(b)13Theoretically,thecorrelationcoefficientbetweenacompletelydiversified
portfolioandthemarketportfolioshouldbe
a)-1.0.
b)+1.0.
c)0.0.
d)-0.5.
e)+0.5.
(a)14Allportfoliosonthecapitalmarketlineare
a)Perfectlypositivelycorrelated.
b)Perfectlynegativelycorrelated.
c)Uniquefromeachother.
d)Weaklycorrelated.
e)Unrelatedexceptthattheycontaintheriskfreeasset.
(c)15ThefactthattestshaveshowntheCAPMintercepttobegreaterthantheRFRis
consistentwitha
a)Zerobetamodel.
b)Anunstablebetaorahigherborrowingrate.
c)Zerobetamodelorahigherborrowingrate.
d)higherborrowingrate.
e)Anunstablebeta.
(b)16Iftheassumptionthattherearenotransactioncostsisrelaxed,theSMLwillbea
a)Straightline.
b)Bandofsecurities.
c)Convexcurve.
d)Concavecurve.
e)Paraboliccurve.
(e)17WhichofthefollowingisnotarelaxationoftheassumptionsfortheCAPM?
a)DifferentiallendingandboiTOwingrates
b)Azerobetamodel
c)Transactioncosts
d)Taxes
e)Homogeneousexpectationsandfixedplanningperiods
(d)18Whichofthefollowingvariableswerefoundtobeimportantinexplainingreturn
baseduponastudyofFamaandFrench(coveringtheperiod1963to1990)?
a)Size
b)Book-to-marketvalue
c)Beta
d)Choicesaandbonly
e)Alloftheabove
(e)19Whichofthefollowingwouldmostcloselyresemblethetruemarketportfolio?
a)Stocks
b)Stocksandbonds
c)Stocks,bondsandforeignsecurities
d)Stocks,bonds,foreignsecuritiesandoptions
e)Stocks,bonds,foreignsecuritiesoptionsandcoins
(c)20Theerrorcausedbynotusingthetruemarketportfoliohasbecomeknownasthe
a)Portfoliodeviation.
b)CAPMshift.
c)Benchmarkerror.
d)Marketerror.
e)Betaerror.
(b)21The_________thenumberofstocksinaportfolioandthe_________thetime
periodthe________theportfoliobeta.
a)Larger,longer,lessstable
b)Larger,longer,morestable
c)Larger,shorter,lessstable
d)Larger,shorter,morestable
e)Smaller,longer,morestable
(b)22Acompletelydiversifiedportfoliowouldhaveacorrelationwiththemarket
portfoliothatis
a)Equaltozerobecauseithasonlyunsystematicrisk.
b)Equaltoonebecauseithasonlysystematicrisk.
c)Lessthanzerobecauseithasonlysystematicrisk.
d)Lessthanonebecauseithasonlyunsystematictisk.
e)Lessthanonebecauseithasonlysystematicrisk.
(c)23Inthepresenceoftransactionscosts,theSMLwillbe
a)Asinglestraightline.
b)Akinkedline.
c)Asetoflinesratherthanasinglestraightline.
d)Acurveratherthanasinglestraightline.
e)Impossibletodetermine.
(d)24Ifthewrongbenchmark(ormarketportfolio)isselectedthen
a)Computedbetaswouldbewrong.
b)TheSMLwouldbewrong.
c)Computedbetaswouldbecorrect.
d)a)andb).
e)b)andc).
MULTIPLECHOICEPROBLEMS
(e)1CalculatetheexpectedreturnforAIndustrieswhichhasabetaof0.75whenthe
riskfreerateis0.07andyouexpectthemarketreturntobe().18.
a)11.13%
b)11.97%
c)12.25%
d)13.00%
e)15.25%
(C)2CalculatetheexpectedreturnforBServiceswhichhasabetaof0.71whenthe
riskfreerateis0.09andyouexpectthemarketreturntobe().13.
a)11.13%
b)11.47%
c)11.84%
d)13.00%
e)15.25%
(c)3CalculatetheexpectedreturnforCInc.whichhasabetaof().8whentheriskfree
rateis0.04andyouexpectthemarketreturntobe0.12.
a)8.10%
b)9.60%
c)10.40%
d)11.20%
e)12.60%
(e)4CalculatetheexpectedreturnforDIndustrieswhichhasabetaof1.0whenthe
riskfreerateis0.03andyouexpectthemarketreturntobe0.13.
a)8.6%
b)9.2%
c)11.0%
d)12.0%
e)13.0%
(d)5CalculatetheexpectedreturnforEServiceswhichhasabetaof1.5whentherisk
freerateis0.05andyouexpectthemarketreturntobe().11.
a)10.6%
b)12.1%
c)13.6%
d)14.0%
e)16.2%
(c)6CalculatetheexpectedreturnforFInc.whichhasabetaof1.3whentheriskfree
rateis0.06andyouexpectthemarketreturntobe0.125.
a)12.65%
b)13.55%
c)14.45%
d)15.05%
e)16.34%
USETHEFOLLOWINGINFORMATIONFORTHENEXTFIVEPROBLEMS
RatesofReturn
YearRAComputerMarketIndex
11115
2913
3-1114
410-9
51112
669
(C)7ComputethebetaforRAComputerusingthehistoricreturnspresentedabove.
a)0.7715
b)0.2195
c)-0.2195
d)0.1023
e)-0.7715
(c)8ComputethecorrelationcoefficientbetweenRAComputerandtheMarketIndex.
a)-0.3200
b)0.0012
c)-0.2300
d)0.2300
e)0.3200
(a)9ComputetheinterceptofthecharacteristiclineforRAComputer.
a)7.98
b)11.63
c)4.92
d)-4.92
e)-7.98
(c)10TheequationofthecharacteristiclineforRAis
a)RRA=-7.98+0.2195RMI
b)RRA=7.98+0.2195RMI
c)RRA=7.98-().2195RMI
d)RRA=-7.98-0.2300RMI
e)Noneoftheabove
(a)11IfyouexpectedreturnontheMarketIndextobe12%,whatwouldyouexpectthe
returnonRAComputertobe?
a)5.34%
b)6.00%
c)8.00%
d)10.00%
e)21.95%
USETHEFOLLOWINGINFORMATIONFORTHENEXTTHREEPROBLEMS
Youexpecttherisk-freerate(RFR)tobe5percentandthemarketreturntobe9percent.
Youalsohavethefollowinginformationaboutthreestocks.
CURRENTEXPECTEDEXPECTED
STOCKBETAPRICEPRICEDIVIDEND
XL5o$22$23$c5
.7
Ys5o$40$43$l2.i.0
15
zz0o$45$49$10
1
1.0
(b)12Whataretheexpected(required)ratesofreturnforthethreestocks(intheorderX,
YA
-Z)?
x
a—
z16.50%,5.50%,22.00%
b
11.00%,7.00%,13.00%
\
cl
z7.95%,11.25%,11.11%
d\
l
v6.20%,2.20%,8.20%
X
eI
/15.00%,3.50%,7.30%
(a)13Whataretheestimatedratesofreturnforthethreestocks(intheorderX,Y,Z)?
a)7.95%,11.25%,11.11%
b)6.20%,2.20%,8.20%
c)16.50%,5.50%,22.00%
d)11.00%,7.00%,13.00%
e)15.00%,3.50%,7.30%
(e)14Whatisyourinvestmentstrategyconcerningthethreestocks?
a)BuystockY,itisundervalued.
b)BuystockXandZ,theyareundervalued.
c)SellstocksXandZ,theyareovervalued.
d)SellstockY,itisovervalued.
e)Choicesaandc
(b)15RecentlyyouhavereceivedatipthatthestockofBubblyIncorporatedisgoingto
risefrom$10.00to$12.00pershareoverthenextyear.Youknowthattheannual
returnontheS&P500hasbeen12%andthe90-dayT-billratehasbeenyielding
4%peryearoverthepast10years.IfbetafbrBubblyis1.2,willyoupurchase
thestock?
a)Yes,becauseitisovervalued.
b)Yes,becauseitisundervalued.
c)No,becauseitisundervalued.
d)No,becauseitisovervalued.
e)Yes,becausetheexpectedreturnequalstheestimatedreturn.
(b)16YourbrokerhasadvisedyouthathebelievesthatthestockofBratInc.isgoingto
risefrom$22.00to$25.00pershareoverthenextyear.Youknowthattheannual
returnontheS&P500hasbeen12%andthe90-dayT-billratehasbeenyielding
4%peryearoverthepast10years.IfbetaforBratis().8,willyoupurchasethe
stock?
a)Yes,becauseitisovervalued
b)Yes,becauseitisundervalued
c)No,becauseitisundervalued
d)No,becauseitisovervalued
e)Yes,becausetheexpectedreturnequalstheestimatedreturn
(d)17RecentlyyouhavereceivedatipthatthestockofButtercupIndustriesisgoingto
risefrom$76.00to$85.0()pershareoverthenextyear.Youknowthattheannual
returnontheS&P50()hasbeen13%andthe90-dayT-billratehasbeenyielding
3%peryearoverthepast10years.IfbetaforButtercupis1.0,willyoupurchase
thestock?
a)Yes,becauseitisovervalued.
b)Yes,becauseitisundervalued.
c)No,becauseitisundervalued.
d)No,becauseitisovervalued.
e)Yes,becausetheexpectedreturnequalstheestimatedreturn.
(b)18AfriendhassomereliableinformationthatthestockofPuddlesCompanyis
goingtorisefrom$43.00to$50.00pershareoverthenextyear.Youknowthat
theannualreturnontheS&P500hasbeen11%andthe90-dayT-billratehas
beenyielding5%peryearoverthepast1()years.IfbetaforPuddlesis1.5,will
youpurchasethestock?
a)Yes,becauseitisovervalued.
b)Yes,becauseitisundervalued.
c)No,becauseitisundervalued.
d)No,becauseitisovervalued.
e)Yes,becausetheexpectedreturnequalstheestimatedreturn.
(b)19RecentlyyourbrokerhasadvisedyouthathebelievesthatthestockofCasey
Incorporatedisgoingtorisefrom$55.00to$70.00pershareoverthenextyear.
YouknowthattheannualreturnontheS&P500hasbeen12.5%andthe90-day
T-billratehasbeenyielding6%peryearoverthepast10years.IfbetaforCasey
is1.3,willyoupurchasethestock?
a)Yes,becauseitisovervalued.
b)Yes,becauseitisundervalued.
c)No,becauseitisundervalued.
d)No,becauseitisovervalued.
e)Yes,becausetheexpectedreturnequalstheestimatedreturn.
(d)20AfriendhasinformationthatthestockofZipIncorporatedisgoingtorisefrom
$62.00to$65.00pershareoverthenextyear.Youknowthattheannualreturnon
theS&P500hasbeen10%andthe90-dayT-billratehasbeenyielding6%per
yearoverthepast10years.IfbetaforZipis0.9,willyoupurchasethestock?
a)Yes,becauseitisovervalued.
b)Yes,becauseitisundervalued.
c)No,becauseitisundervalued.
d)No,becauseitisovervalued.
e)Yes,becausetheexpectedreturnequalstheestimatedreturn.
(a)21Assumethatasaportfoliomanagerthebetaofyourportfoliois1.2andthatyour
performanceisexactlyontargetwiththeSMLdataundercondition1.Ifthetrue
SMLdataisgivenbycondition2,howmuchdoesyourperformancedifferfrom
thetrueSML?
1)RFR=.08Rm(proxy)=.12
2)RK=.06Rm(true)=.15
a)4%lower
b)6%lower
c)8%lower
d)4%higher
e)6%higher
(c)22Assumethatasaportfoliomanagerthebetaofyourportfoliois1.4andthatyour
performanceisexactlyontargetwiththeSMLdataundercondition1.Ifthetrue
SMLdataisgivenbycondition2,howmuchdoesyourperformancedifferfrom
thetrueSML?
1)RFR=.07Rm(proxy)=.13
2)RK=.08Rm(true)=.16
a)4.4%lower
b)3.6%lower
c)3.8%lower
d)4.4%higher
e)3.6%higher
(a)23Assumethatasaportfoliomanagerthebetaofyourportfoliois1.3andthatyour
performanceisexactlyontargetwiththeSMLdataundercondition1.Ifthetrue
SMLdataisgivenbycondition2,howmuchdoesyourperformancedifferfrom
thetrueSML?
1)RFR=.08Rm(proxy)=.ll
2)RK=.07Rm(true)=.14
a)4.2%lower
b)3.6%lower
c)3.8%lower
d)4.2%higher
e)3.6%higher
(b)24Assumethatasaportfoliomanagerthebetaofyourportfoliois1.2andthatyour
performanceisexactlyontargetwiththeSMLdataundercondition1.Ifthetrue
SMLdataisgivenbycondition2,howmuchdoesyourperformancedifferfrom
thetrueSML?
1)RFR=.09Rm(proxy)=.12
2)RK=.10Rm(true)=.13
a)2%lower
b)1%lower
c)5%lower
d)1%higher
e)2%higher
(d)25Assumethatasaportfoliomanagerthebetaofyourportfoliois1.1andthatyour
performanceisexactlyontargetwiththeSMLdataundercondition1.Ifthetrue
SMLdataisgivenbycondition2,howmuchdoesyourperformancedifferfrom
thetrueSML?
1)RFR=.07Rm(proxy)=.15
2)RK=.06Rm(true)=.12
a)3.2%lower
b)6.4%lower
c)4.9%lower
d)3.2%higher
e)6.4%higher
(d)26Assumethatasaportfoliomanagerthebetaofyourportfoliois1.4andthatyour
performanceisexactlyontargetwiththeSMLdataundercondition1.Ifthetrue
SMLdataisgivenbycondition2,howmuchdoesyourperformancedifferfrom
thetrueSML?
1)RFR=.06Rm(proxy)=.12
2)RK=.05Rm(true)=.11
a)2.0%lower
b)0.5%lower
c)0.5%lower
d)1.0%higher
e)2.0%higher
USETHEFOLLOWINGINFORMATIONFORTHENEXTSEVENPROBLEMS
ReturnProxyTrue
PeriodofRadtronSpecificIndexGeneralIndex
(Percent)(Percent)(Percent)
1101215
2121()13
3-10-8-8
4-4-100
(e)27Theaveragetruereturnis
a)1%
b)2%
c)3%
d)4%
e)5%
(b)28Theaverageproxyreturnis
a)1%
b)2%
c)3%
d)4%
e)5%
(a)29TheaveragereturnforRadtronis
a)1%
b)2%
c)3%
d)4%
e)5%
(c)30ThecovariancebetweenRadtronandtheproxyindexis
a)57.30
b)86.50
c)88.00
d)92.50
e)107.90
(b)31ThecovariancebetweenRadtronandthetrueindexis
a)57.30
b)86.50
c)88.00
d)92.50
e)107.90
(a)32WhatisthebetaforRadtronusingtheproxyindex?
a)0.87
b)0.97
c)1.02
d)1.15
e)1.28
(b)33WhatisthebetaforRadtronusingthetrueindex?
a)0.87
b)0.97
c)1.02
d)1.15
e)1.28
(b)34Consideranassetthathasabetaof1.5.Thereturnontherisk-freeassetis6.5%
andtheexpectedreturnonthestockindexis15%.Theestimatedreturnonthe
assetis20%.Calculatethealphafortheasset.
a)19.25%
b)0.75%
c)-0.75%
d)9.75%
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