投资学英文第7版TestBank谜底chap016新版Word下载.docx
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ADifficulty:
Moderate
Durationisnegativelycorrelatedwithcouponrateandyieldtomaturity.
3.Holdingotherfactorsconstant,theinterest-rateriskofacouponbondishigherwhenthe
bond'
s:
A)term-to-maturityislower.
B)couponrateishigher.
C)yieldtomaturityislower.
D)currentyieldishigher.
CDifficulty:
Thelongerthematurity,thegreatertheinterest-raterisk.Thelowerthe
couponrate,thegreatertheinterest-raterisk.Thelowertheyieldtomaturity,thegreater
theinterest-raterisk.Theseconceptsarereflectedinthedurationrules;
durationisa
measureofbondpricesensitivitytointerestratechanges(interest-raterisk).
4.The"
modifiedduration"
usedbypractitionersisequaltothe
Macaulayduration
A)timesthechangeininterestrate.
C)dividedby(oneminusthebond'
syieldtomaturity).
D)dividedby(oneplusthebond'
D*=D/(1+y)
5.Giventhetimetomaturity,thedurationofazero-couponbondishigherwhenthe
discountrateis
A)higher.
B)lower.
C)equaltotheriskfreerate.
D)Thebond'
sdurationisindependentofthediscountrate.
Thedurationofazero-couponbondisequaltothematurityofthebond.
6.Theinterest-rateriskofabondis
A)theriskrelatedtothepossibilityofbankruptcyofthebond'
sissuer.
B)theriskthatarisesfromtheuncertaintyofthebond'
sreturncausedbychangesin
interestrates.
C)theunsystematicriskcausedbyfactorsuniqueinthebond.
D)AandBabove.
E)A,B,andCabove.
BDifficulty:
Changinginterestrateschangethebond'
sreturn,bothintermsofthepriceof
thebondandthereinvestmentofcouponpayments.
7.Whichofthefollowingtwobondsismorepricesensitivetochangesininterestrates?
1)Aparvaluebond,X,witha5-year-to-maturityanda10%couponrate.
2)Azero-couponbond,Y,witha5-year-to-maturityanda10%yield-to-maturity.
A)BondXbecauseofthehigheryieldtomaturity.
B)BondXbecauseofthelongertimetomaturity.
C)BondYbecauseofthelongerduration.
D)Bothhavethesamesensitivitybecausebothhavethesameyieldtomaturity.
E)Noneoftheabove
Durationisthebestmeasureofbondpricesensitivity;
thelongertheduration
thehigherthepricesensitivity.
8.Holdingotherfactorsconstant,whichoneofthefollowingbondshasthesmallestprice
volatility?
A)5-year,0%couponbond
B)5-year,12%couponbond
C)5year,14%couponbond
D)5-year,10%couponbond
E)Cannottellfromtheinformationgiven.
Duration(andthuspricevolatility)islowerwhenthecouponratesarehigher.
9.Whichofthefollowingisnottrue?
A)Holdingotherthingsconstant,thedurationofabondincreaseswithtimeto
maturity.
B)Giventimetomaturity,thedurationofazero-coupondecreaseswithyieldto
C)Giventimetomaturityandyieldtomaturity,thedurationofabondishigherwhen
thecouponrateislower.
D)Durationisabettermeasureofpricesensitivitytointerestratechangesthanistime
tomaturity.
E)Alloftheabove.
Thedurationofazero-couponbondisequaltotimetomaturity,andis
independentofyieldtomaturity.
10.Thedurationofa5-yearzero-couponbondis
A)smallerthan5.
B)largerthan5.
C)equalto5.
D)equaltothatofa5-year10%couponbond.
Durationofazero-couponbondequalsthebond'
smaturity.
11.Thebasicpurposeofimmunizationisto
A)eliminatedefaultrisk.
B)produceazeronetinterest-raterisk.
C)offsetpriceandreinvestmentrisk.
D)AandB.
E)BandC.
EDifficulty:
Whenaportfolioisimmunized,priceriskandreinvestmentriskexactly
offseteachotherresultinginzeronetinterest-raterisk.
12.Thedurationofaparvaluebondwithacouponrateof8%andaremainingtimeto
A)5years.
B)5.4years.
D)4.31years.
Calculationsareshownbelow.
Yr.CFPVofCF@08%Weight*Yr.
1$80$80/1.08=$74.070.0741*1=0.074122$80$80/(1.08)=$68.590.0686*2=0.137233$80$80/(1.08)=$63.510.0635*3=0.190544$80$80/(1.08)=$58.800.0588*4=0.235255$1,080$1,080/(1.08)=$735.030.7350*5=3.6750
Sum$1000.004.3120yrs.(duration)
13.Thedurationofaperpetuitywithayieldof8%is
A)13.50years.
B)12.11years.
C)6.66years.
D)cannotbedetermined.
D=1.08/0.08=13.50years.
14.Aseven-yearparvaluebondhasacouponrateof9%andamodifieddurationof
B)5.49years.
D)4.87years.
E)noneoftheabove.
Difficult
Yr.CFPVofCF@9%Weight*Yr.
1$90$82.570.0826X1=0.0826
2$90$75.750.0758X2=0.1516
3$90$69.500.0695X3=0.2085
4$90$63.760.0638X4=0.2552
5$90$58.490.0585X5=0.2925
6$90$53.660.0537X6=0.3222
7$1,090$596.260.5963X7=4.1741
Sum$1000.005.4867years(duration)
modifiedduration=5.4867years/1.09=5.03years.
15.ParvaluebondXYZhasamodifieddurationof6.Whichoneofthefollowing
statementsregardingthebondistrue?
A)Ifthemarketyieldincreasesby1%thebond'
spricewilldecreaseby$60.
B)Ifthemarketyieldincreasesby1%thebond'
spricewillincreaseby$50.
C)Ifthemarketyieldincreasesby1%thebond'
spricewilldecreaseby$50.
D)Ifthemarketyieldincreasesby1%thebond'
spricewillincreaseby$60.
E)Noneoftheabove.
=-D*-$60=-6(0.01)X$1,000
16.Whichofthefollowingbondshasthelongestduration?
A)An8-yearmaturity,0%couponbond.
B)An8-yearmaturity,5%couponbond.
C)A10-yearmaturity,5%couponbond.
D)A10-yearmaturity,0%couponbond.
Thelongerthematurityandthelowerthecoupon,thegreatertheduration
17.Whichoneofthefollowingparvalue12%couponbondsexperiencesapricechangeof
$23whenthemarketyieldchangesby50basispoints?
A)Thebondwithadurationof6years.
B)Thebondwithadurationof5years.
C)Thebondwithadurationof2.7years.
E)Noneoftheabove.
DP/P=-DX[D(1+y)/(1+y)];
-.023=-DX[.005/1.12];
D=5.15.
18.Whichoneofthefollowingstatementsistrueconcerningthedurationofaperpetuity?
A)Thedurationof15%yieldperpetuitythatpays$100annuallyislongerthanthatofa
15%yieldperpetuitythatpays$200annually.
B)Thedurationofa15%yieldperpetuitythatpays$100annuallyisshorterthanthat
ofa15%yieldperpetuitythatpays$200annually.
C)Thedurationofa15%yieldperpetuitythatpays$100annuallyisequaltothatof
D)thedurationofaperpetuitycannotbecalculated.
Durationofaperpetuity=(1+y)/y;
thus,thedurationofaperpetuityis
determinedbytheyieldandisindependentofthecashflow.
19.Thetwocomponentsofinterest-rateriskare
A)priceriskanddefaultrisk.
B)reinvestmentriskandsystematicrisk.
C)callriskandpricerisk.
D)priceriskandreinvestmentrisk.
Default,systematic,andcallrisksarenotpartofinterest-raterisk.Only
iceandreinvestmentrisksarepartofinterest-raterisk.pr
20.Thedurationofacouponbond
A)doesnotchangeafterthebondisissued.
B)canaccuratelypredictthepricechangeofthebondforanyinterestratechange.
C)willdecreaseastheyieldtomaturitydecreases.
D)alloftheabovearetrue.
E)noneoftheaboveistrue.
Durationchangesasinterestratesandtimetomaturitychange,canonly
predictpricechangesaccuratelyforsmallinterestratechanges,andincreasesasthe
yieldtomaturitydecreases.
21.Indexingofbondportfoliosisdifficultbecause
A)thenumberofbondsincludedinthemajorindexesissolargethatitwouldbe
difficulttopurchasethemintheproperproportions.
B)manybondsarethinlytradedsoitisdifficulttopurchasethematafairmarketprice.
C)thecompositionofbondindexesisconstantlychanging.
E)bothAandBaretrue.
Alloftheabovearetruestatementsaboutbondindexes.
22.Youhaveanobligationtopay$1,488infouryearsand2months.
Inwhichbondwould
youinvestyour$1,000toaccumulatethisamount,withrelativecertainty,evenifthe
yieldonthebonddeclinesto9.5%immediatelyafteryoupurchasethebond?
A)a6-year;
10%couponparvaluebond
B)a5-year;
C)a5-year;
zero-couponbond
D)a4-year;
E)noneoftheabove
An