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CHAPTER3
SELECTINGINVESTMENTSINAGLOBALMARKET
AnswerstoOuestions
1.Themajoradvantageofinvestingincommonstocksisthatgenerallyaninvestorwould
earnahigherrateofreturnthanoncorporatebonds.Also,whilethereturnonbondsis
pre-specifiedandfixed,thereturnoncommonstockscanbesubstantiallyhigherifthe
investorcanpicka“winner"-i.e.,ifthecompany'sperformanceturnsouttobebetter
thancurrentmarketexpectations.Themaindisadvantageofcommonstockownershipis
thehigherrisk.Whiletheincomeonbondsiscertain(exceptintheextremecaseof
bankruptcy),thereturnonstockswillvarydependinguponthefutureperformanceofthe
companyandcouldwellbenegative.
2.Thethreefactorsare:
(1)LimitingoneselftotheU.S.securitiesmarketwouldimplyeffectivelyignoringmore
than50%oftheworldsecuritiesmarket.WhileU.S.marketsarestillthelargest
singlesector,foreignmarketshavebeengrowinginabsoluteandrelativesizesince
1969.
(2)Theratesofreturnavailableonnon-U.S.securitiesoftenhavesubstantiallyexceeded
thoseofU.S.securities.
(3)Diversificationwithforeignsecuritiesreducesportfoliorisk.
3.Internationaldiversificationreducesportfolioriskbecauseofthelowcorrelationof
returnsamongthesecuritiesfromdifferentcountries.Thisisduetodiffering
internationaltradepatterns,economicgrowth,fiscalpolicies,andmonetarypolicies
amongcountries.
4.TherearedifferentcorrelationsofreturnsbetweensecuritiesfromtheU.S.andalternate
countriesbecausetherearesubstantialdifferencesintheeconomiesofthevarious
countries(atagiventime)intermsofinflation,internationaltrade,monetaryandfiscal
policiesandeconomicgrowth.
5.ThecorrelationsbetweenU.S.stocksandstocksfordifferentcountriesshouldchange
overtimebecauseeachcountryhasafairlyindependentsetofeconomicpolicies.
Factorsinfluencingthecorrelationsincludeinternationaltrade,economicgrowth,fiscal
policyandmonetarypolicy.Achangeinanyofthesevariableswillcauseachangein
howtheeconomiesarerelated.Forexample,thecorrelationbetweenU.S.andJapanese
stockwillchangeasthebalanceoftradeshiftsbetweenthetwocountries.
6.Themajorrisksthataninvestormustconsiderwheninvestinginanybondissueare
businessrisk,financialriskandliquidityrisk.Additionalriskassociatedwithforeign
bonds,suchasJapaneseorGermanbonds,areexchangerateriskandcountryrisk,
CountryriskisnotamajorconcernforJapaneseorGermansecurities.Exchangeraterisk
istheuncertaintythatarisesfromfloatingexchangeratesbetweentheU.S.dollarandthe
JapaneseyenorDeutschmark.
7.Theadditionalrisksthatsomeinvestorsbelieveinternationalinvestingintroducesinclude
foreignexchangeriskandcountryriskForexampleithedomesticreturnonCanada
bondsof10.36%exceededtheU.S.returnof9.78%,Theexchangerateeffectof-2.19%
loweredtheCanadiandollarreturnafterconversiontoU.S.dollarsto8.17%.(Exhibit
3.2).
8.Therearefouralternativestodirectinvestmentinforeignstocksavailabletoinvestors:(1)
purchaseAmericanDepositoryReceipts(ADRs)
(2)purchaseoFAmericanshares(issuedbyatransferagent)
(3)directpurchaseofforeignshareslistedonaforeignorU.S.exchange
(4)purchaseofinternationalmutualfunds.
9.Unlikecorporatebonds,interestonmunicipalbondsisexemptfromtaxationbythe
federalgovernmentandbythestatethatissuedthebond,providedtheinvestorisa
residentofthatstate.Forinstance,amarginaltaxrateof35percentmeansthataregular
bondwithaninterestrateof8percentyieldsanetreturnaftertaxesofonly5.20percent
[.08x(1-.35)].Atax-freebondwitha6percentyieldwouldbepreferable.
10.Theconvertiblebondofthegrowthcompanywouldhavetheloweryield.Thisis
intuitivebecausethereisagreaterpotentialforthepriceofthegrowthcompanystockto
increase,whichwouldmaketheconversionfeatureofthebondextremelyattractive.
Thus,theinvestorwouldbewillingtotradeoffthehigherupsidepotentialresultingfrom
conversionfortheloweryield.
11.Liquidityistheabilitytobuyorsellanassetquicklyatapricesimilartothepriorprice
assumingnonewinformationhasenteredthemarket.Commonstockshavethe
advantageofliquiditysinceitisveryeasytobuyorsellasmallposition(therebeinga
largenumberofpotentialbuyers)atapricenotsubstantiallydifferentfromthecurrent
marketprice.Rawlandisrelativelyilliquidsinceitisoftendifficulttofindabuyer
immediatelyandoftentheprospectivebuyerwillofferapricethatissubstantially
differentfromwhattheownerconsiderstobethetruemarketvalue.Areasonforthis
differenceisthatwhilecommonstockdataareregularlyreportedinalargenumberof
dailynewspapersandseveralmagazinesandcloselywatchedbyalargenumberof
individuals,rawlandsimplylacksthiskindofinterest.Further,thespeculativenatureof
rawlandinvestmentcallsforhighriskandlongermaturitybeforeprofitscanberealized.
Finally,theinitialinvestmentonaplotofrawlandwouldbesubstantiallygreaterthana
roundlotinmostsecurities.Asaresult,thesmallinvestorisgenerallyprecludedfrom
thiskindofinvestment.
12.Astockwarrantisanoptionissuedbyacorporationtobuyanumberofsharesofthe
corporation^commonstockataspecifiedprice.Warrantstypicallyhavealifeofseveral
yearsandcouldevenbyperpetual.
Acalloptionissimilartoastockwarrantwithtwoessentialdifferences.Oneisthatthe
calloptionisnotissuedbythecorporationbutbyanindividualwho“writes“itand
standsbehindit.Theseconddifferenceisthatacalloptiongenerallyhasamaturityof
lessthanayear.
13.Artandantiquesareconsideredilliquidinvestmentsbecauseinmostcasestheyaresold
atauctions.Theimplicationofbeingtradedatauctionsratherthanonadeveloped
exchangeisthatthereistremendousuncertaintyregardingthepricetobereceivedandit
takesalongtimetocontactabuyerwhooffersthe“right”price.Besides,manybuyersof
artandantiquesareaccumulatorsratherthantradersandthisfurtherreducestrading.
Coinsandstampsaremoreliquidthanartandantiquesbecauseaninvestorcandetermine
the“correct”marketpricefromseveralweeklyormonthlypublications.Thereisnosuch
publicationofcurrentmarketpricesofthenumerousuniquepiecesofartandantiques
andownersareforcedtorelyondealerestimates.Further,whileacoinorstampcanbe
readilydisposedoftoadealeratacommissionofabout10-15percent,thecommissions
onpaintingsrangefrom30-50percent.
TosellaportfolioofstocksthatarelistedontheNewYorkStockExchange,aninvestor
simplycontactshis/herbrokertoselltheshares.Costoftradingstocksvariesdepending
onwhetherthetradeishandledbyafullservicebrokeroradiscountbroker.
14.TheresultsofExhibit3.13wouldtendtosupportaddingsomestocksfromemerging
marketstoyourportfolio.ThetableindicatesalowpositivecorrelationwithU.S.stocks
(0.347withtheS&P500),whichimpliesreasonablygooddiversificationopportunities.
However,suchmarketstendtobelessliquidthanmarketsofdevelopedcountries.
15.Exhibit3.14indicatesthataninvestmentinAmericanpaintingsduringthisperiodwasa
goodinvestment.ThegeometricmeanforAmericanpaintings(16.20%)washigherthan
thatofU.S.commonstocks,measuredbytheS&P500index(14.92%),Inaddition,risk
asmeasuredbystandarddeviation,waslowerforAmericanpaintings(16.07%)thanfor
theS&P500Index(17.57%).
16.CFAExaminationI(1993)
16(a).InternationalstocksversusU.S.stocks-Problems:
1.Informationaboutforeignfirmsisoftendifficulttoobtainonatimelybasisandonce
obtained,canbedifficulttointerpretandanalyzeduetolanguageandpresentation
differences.
2.Financialstatementsarecomparablefromcountrytocountry.Differentcountriesuse
differentaccountingprinciples.Evenwhensimilaraccountingmethodsareused,
cultural,institutional,politicalandtaxdifferencescanmakecross-country
comparisonshazardousandmisleading.
3,StockvaluationtechniquesusefulintheUnitedStatesmaybelessusefulinother
countries.Stockmarketsindifferentcountriesvaluedifferentattributes,
4.Smithmustconsidercurrencyriskinselectingnon-U.S.stocksforhisportfolio.
5.Increasedcosts:custody,managementfees,andtransactionsexpensesareusually
higheroutsidetheUnitedStates.
17.CFAExamination111(1993)
17(a).Argumentsinfavorofaddinginternationalsecuritiesinclude:
1.Benefitsgainedfrombroaderdiversification?includingeconomic,politicaland/or
geographicsources.
2.Expectedhigherreturnsatthesameorlower(ifproperlydiversified)levelof
portfoliorisk.
3.Advantagesaccruingfromimprovedcorrelationandcovariancerelationshipsacross
theportfolio'sexposures.
4.Improvedassetallocationflexibility,includingtheabilitytomatchorhedgenon-U.S.
liabilities.
5.Widerrangeofindustryandcompanychoicesforportfolioconstructionpurposes.
6.Widerrangeofmanagersthroughwhomtoimplementinvestmentdecisions.
7.Diversificationbenefitsarerealizabledespitetheabsenceofnon-U.S.pension
liabilities.
Atthesametime,thereareanumberofpotentialproblemsassociatedwithmovingaway
fromadomestic-securities-onlyorientation:
1.Possiblehighercosts,includingthoseforcustody,transactions,andmanagementfees.
2.Possiblyreducedliquidity,especiallywhentransactinginsize.
3.Possibleunsatisfactorylevelsofinformationavailability,reliability,scope,timeliness
andunderstand-ability.
4.Risksassociatedwithcurrencymanagement,convertibilityandregulations/controls.
5.Risksassociatedwithpossibleinstability/volatilityinbothmarketsandgovernments.
6.Possibletaxconsequencesorcomplications.
7.RecognitionthatEAFEhasunderperformedsince1989.
17(b).Apolicydecisiontoincludeinternationalsecuritiesinaninvestmentportfolioisa
necessaryfirststeptoactualization.However,certainotherpolicyleveldecisionsmustbe
madepriortoimplementation.Thatsetofdecisionswouldinclude:
1.Whatportionoftheportfolioshallbeinvestedinternationally,andinwhatequityand
fixed-incomeproportions?
2.Shallalloraportionofthecurrencyriskbehedgedornot?
3.Shallmanagementoftheportfoliobeactiveorpassive?
4.Shallthemarketexposuresbecountry/market-wide(top-down)orcompany/induslry
specific(bottom-up)?
5.Whatbenchmarksshallresultsbejudgedby?
6.Howwillmanagerstylebeincorporatedintotheprocess?
7.Howwilltheprocessreflect/resolvetheimportantdifferencesinorientationbetween
theinternational(nonU.S.)majormarketsandtheU.S.emergingmarkets
perspectives?
Untildecisionsontheseadditionalpolicy-levelissueshavebeenmade,implementation
ofthebasicdecisiontoinvestinternationallycannotbegin.
CHAPTER3
AnswerstoProblems
1.StudentExercise
2.StudentExercise
3,StudentExercise
4.StudentExercise
5.CFAExamination(Adapted)
5(a).Thearithmeticaverageassumesthepresenceofsimpleimeiest,whilethegeometric
averageassumescompoundingorinterest-on-interest.Thegeometricmeaninternalrate
ofreturnisacriticalconceptinsecurityandportfolioselectionaswellasperformance
measurementinamulti-periodframework.
5(b).Rankingisbestaccomplishedbyusingthecoefficientofvariation(standarddeviation/
arithmeticmean,multipliedby100):
1-RealEstate36.88
2-TreasuryBills48.93
3-LongGov?tBonds104.92
4-CommonStocks164.37
5-LongCorp.Bond166.96
Thecoefficientofvariationrankingmethodologyalternativelymaybecomputedusing
thegeometricmean(standarddeviation/geometricmeanmultipliedby100).Thismethod
providesarankingalmostidenticaltothepriormethod(withthe4thand5thrankings
reversed:
1-RealEstate37.08
2-TreasuryBills49.31
3-LongGov'tBonds108.29
4-LongCorp.Bonds179.44
5-CommonStocks191.83
Inbothcases,alowerratioindicatesahigherreturnforrisk4
Or,asomewhatdifferentrankingmethodologyutilizesSharpe'srewardforrisk-taking
measureusingthearithmeticmeanreturnminustheriskfreeratedividedbythestandard
deviationmultipliedby100.Therankingusingthismeasurewouldbeasfollows:
1-RealEstate84.29
2-CommonStocks22.13
3-TreasuryBills0.00
4-LongGov'tBonds-6.88
5-LongCorp.Bonds-8.23
Underthisreward-for-riskrankingmethodology,thehighertheratio,thehigherthe
returnperunitofrisk.Thearithmeticmeanwasusedinthiscomputation;however,the
geometricmeanalsocouldbeusedtocalculatethisranking.
5(c)(1).Expectedmeanplusorminustwostandarddeviations:
Arithmetic:10.28%+/-16.9%(2)=-23.52%to+44.08%
Geometric:8.81%+/-16.9%⑵=-24.99%to+42.61%
5(c)(2).Ninety-fivepercentoftheareaunderthenormalcurveliesbetween+/-twostandard
deviationsofthemean.Sincethemeanminustwostandarddeviations(9.44-7.0=2,44)
ispositive,onemayconcludethattheprobabilityofbreakingevenisgreaterthan95%.
5(d).Itseemsatfirstthatgovernmentbondsofferlessreturnandmoreriskthanrealestate.
However,realestateandgovernmentbondsmightprovideagoodcombinationifthetwo
donotfluctuateinasimilarfashion,sothatthevariabilityoftheportfolioislessthanthe
variabilityoftheindividualinvestments.Ifthecorrelationcoefficientapplicabletothis
pairofinvestmentsisknownandisnothighlypositive,thecombinationwouldbe
advantageous.
6(a).⑴CommonStockRiskPremium
=ReturnCommonStock-ReturnofU.S.Gov'tT-bills
=12.50-4.50
=8.00%
(2)SmallFirmsStockRiskPremium
=ReturnofSmallCapitalizationCommonStock
-ReturnofTotalStocks(S&P500)
=14.60-12.50
=2.10%
(3)Horizon(Maturity)Premium
=ReturnonLong-termGov'tBonds
-ReturnonU.S.Gov'tT-bills
三510?4.50
=0.60%
(4)DefaultPremium
=ReturnonLong-termCorporateBonds
-ReturnonLong-termGov'tBonds
=5.80-5.10
=0.70%
6(b).IfInflation=4%
“cHoldingPeriodReturn,
Real"rateorfreturn=------------------------------1
1+rateofinflation
UST-bills
—:―--1二.0048or0.48%
RealRateofReturn-1-t-.04
?
CommonStock_1251D817or8.17%
RealRateofReturn—\+.04
屠黑黑1鬻*黑…w。
扇黑麒暗吹圖1-1=0106oH.060/o
SmallCapCommonSlock_1+.146°
1=.1019or10.09%
RealRateofReturn-?+Q4
APPENDIX3
AnswerstoProblems
1.Lauren'saveragereturnKayleigh'saveragereturn
7(5+12-11+10+12)-(5+15+5+7-10
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