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INTERNATIONALFINANCIALMANAGEMENTEUN/RESNICKSecondEdition5ChapterFiveInternationalParityRelationships&ForecastingExchangeRatesChapterObjective:Th
ischapterexaminesseveralkeyinternationalparityrelationships,suchasinterestrateparityandpurchasingpowerparity.Chapte
rOutline⚫InterestRateParity⚫PurchasingPowerParity⚫TheFisherEffects⚫ForecastingExchangeRates1ChapterOu
tline⚫InterestRateParity◼CoveredInterestArbitrage◼IRPandExchangeRateDetermination◼ReasonsforDeviationsfromIRP⚫PurchasingPowerParity⚫TheFisherEffects
⚫ForecastingExchangeRates2ChapterOutline⚫InterestRateParity⚫PurchasingPowerParity◼PPPDeviationsandtheRealExchangeRate◼EvidenceonPurch
asingPowerParity⚫TheFisherEffects⚫ForecastingExchangeRates3ChapterOutline⚫InterestRateParity⚫PurchasingPowerParity⚫
TheFisherEffects⚫ForecastingExchangeRates4ChapterOutline⚫InterestRateParity⚫PurchasingPowerParity⚫TheFisherEffects⚫F
orecastingExchangeRates◼EfficientMarketApproach◼FundamentalApproach◼TechnicalApproach◼Performanceoft
heForecasters5InterestRateParity⚫InterestRateParityDefined⚫CoveredInterestArbitrage⚫InterestRateParity&ExchangeRateDetermi
nation⚫ReasonsforDeviationsfromInterestRateParity6InterestRateParityDefined⚫IRPisanarbitragecondition.⚫IfIR
Pdidnothold,thenitwouldbepossibleforanastutetradertomakeunlimitedamountsofmoneyexploitingthearbitrageo
pportunity.⚫Sincewedon’ttypicallyobservepersistentarbitrageconditions,wecansafelyassumethatIRPholds.7InterestRateParityDefinedSupposeyouha
ve$100,000toinvestforoneyear.Youcaneither1.investintheU.S.ati$.Futurevalue=$100,000(1+ius)2.tradeyourdollarsforyenatthespotra
te,investinJapanati¥andhedgeyourexchangerateriskbysellingthefuturevalueoftheJapaneseinvestmentforward.Thefuturevalue=$100,000(F/S)(1
+i¥)Sincebothoftheseinvestmentshavethesamerisk,theymusthavethesamefuturevalue—otherwiseanarbitragewouldexist.(F/S)(1+i¥
)=(1+ius)8InterestRateParityDefinedFormally,(F/S)(1+i¥)=(1+ius)orifyouprefer,SFii=++¥$11IRPissometimesappro
ximatedasS(F-S))-i(i¥=$9IRPandCoveredInterestArbitrageIfIRPfailedtohold,anarbitragewouldexist.It’seasiesttoseethisintheformofanexample.Cons
iderthefollowingsetofforeignanddomesticinterestratesandspotandforwardexchangerates.SpotexchangerateS($/£)=$1.25/£360-dayforwardrateF360($/£)=$
1.20/£U.S.discountratei$=7.10%Britishdiscountratei£=11.56%10IRPandCoveredInterestArbitrageAtraderwith$1,000t
oinvestcouldinvestintheU.S.,inoneyearhisinvestmentwillbeworth$1,071=$1,000(1+i$)=$1,000(1.071)Alternatively,thistradercouldexchange$1,000for£800att
heprevailingspotrate,(notethat£800=$1,000÷$1.25/£)invest£800ati£=11.56%foroneyeartoachieve£892.48.Translate£892.48backintodollars
atF360($/£)=$1.20/£,the£892.48willbeexactly$1,071.11AccordingtoIRPonlyone360-dayforwardrate,F360($/£),canexist.Itmustbethe
casethatF360($/£)=$1.20/£Why?IfF360($/£)$1.20/£,anastutetradercouldmakemoneywithoneofthefollowingstrateg
ies:InterestRateParity&ExchangeRateDetermination12ArbitrageStrategyIIfF360($/£)>$1.20/£i.Borrow$1,000att=0ati$=7.1%.ii.Exchange$1
,000for£800attheprevailingspotrate,(notethat£800=$1,000÷$1.25/£)invest£800at11.56%(i£)foroneyeartoach
ieve£892.48iii.Translate£892.48backintodollars,ifF360($/£)>$1.20/£,£892.48willbemorethanenoughtorepayyourdollarobligationof$1,071.13Ar
bitrageStrategyIIIfF360($/£)<$1.20/£i.Borrow£800att=0ati£=11.56%.ii.Exchange£800for$1,000attheprevai
lingspotrate,invest$1,000at7.1%foroneyeartoachieve$1,071.iii.Translate$1,071backintopounds,ifF360($/£)<$1.20/£,$1,071will
bemorethanenoughtorepayyour£obligationof£892.48.14YouareaU.S.importerofBritishwoolensandhavejustorderednextyear’sinventory.Paymentof£100Mi
sdueinoneyear.IRPandHedgingCurrencyRiskIRPimpliesthattherearetwowaysthatyoufixthecashoutflowa)Putyourselfinapositionthatdelivers£100Minoneyear—alon
gforwardcontractonthepound.Youwillpay(£100M)(1.2/£)=$120Mb)Formaforwardmarkethedgeasshownbelow.Spotexchanger
ateS($/£)=$1.25/£360-dayforwardrateF360($/£)=$1.20/£U.S.discountratei$=7.10%Britishdiscountratei£=11.56%15IRPandaForwardMarketHedgeToformafor
wardmarkethedge:Borrow$112.05millionintheU.S.(inoneyearyouwillowe$120million).Translate$112.05millionint
opoundsatthespotrateS($/£)=$1.25/£toreceive£89.64million.Invest£89.64millionintheUKati£=11.56%foroneyear.In
oneyearyourinvestmentwillhavegrownto£100million—exactlyenoughtopayyoursupplier.16ForwardMarketHedgeWheredoth
enumberscomefrom?Weoweoursupplier£100millioninoneyear—soweknowthatweneedtohaveaninvestmentwithafuturevalueof£100million.Sinc
ei£=11.56%weneedtoinvest£89.64millionatthestartoftheyear.Howmanydollarswillittaketoacquire£89.64millionatthestartoftheyearifS($/£)=$1.25/£?
1.1156?00?9.64=?.25$1.00?9.64$112.05=17ReasonsforDeviationsfromIRP⚫TransactionsCosts◼Theinterestrateavailabletoanarbitrageurfor
borrowing,ib,mayexceedtheratehecanlendat,il.◼Theremaybebid-askspreadstoovercome,Fb/Sa<F/S◼Thus(Fb/Sa)(1+i¥l)−(1+i¥b)0⚫Capital
Controls◼Governmentssometimesrestrictimportandexportofmoneythroughtaxesoroutrightbans.18PurchasingPowerParity⚫PurchasingPowerParityandExchangeRateDe
termination⚫PPPDeviationsandtheRealExchangeRate⚫EvidenceonPPP19PurchasingPowerParityandExchangeRateDetermination⚫Theexchangeratebetweentwocurre
nciesshouldequaltheratioofthecountries’pricelevels.S($/£)=P$P£⚫RelativePPPstatesthattherateofchangeinanexchanger
ateisequaltothedifferencesintheratesofinflation.e=$-£⚫IfU.S.inflationis5%andU.K.inflationis8%,thepoundshoulddepreciateby3%.20)1)(1(1£$+++=eqP
PPDeviationsandtheRealExchangeRateTherealexchangerateisIfPPPholds,(1+e)=(1+$)/(1+£),thenq=1.Ifq<1competitivenessofdomesticcountryimpr
oveswithcurrencydepreciations.Ifq>1competitivenessofdomesticcountrydeteriorateswithcurrencydepreciations.21EvidenceonPPP
⚫PPPprobablydoesn’tholdpreciselyintherealworldforavarietyofreasons.◼Haircutscost10timesasmuchinthedevelopedworldasinthedevelopi
ngworld.◼Film,ontheotherhand,isahighlystandardizedcommoditythatisactivelytradedacrossborders.◼Shippin
gcosts,aswellastariffsandquotascanleadtodeviationsfromPPP.⚫PPP-determinedexchangeratesstillprovideavaluablebenchmark.
22TheFisherEffects⚫Anincrease(decrease)intheexpectedrateofinflationwillcauseaproportionateincrease(decrease)intheinterestratei
nthecountry.⚫FortheU.S.,theFishereffectiswrittenas:i$=$+E($)Where$istheequilibriumexpected“real”U.S.
interestrateE($)istheexpectedrateofU.S.inflationi$istheequilibriumexpectednominalU.S.interestrate23InternationalFi
sherEffectIftheFishereffectholdsintheU.S.i$=$+E($)andtheFishereffectholdsinJapan,i¥=¥+E(¥)andiftherealratesarethesameineachcountr
y$=¥thenwegettheInternationalFisherEffectE(e)=i$-i¥.24InternationalFisherEffectIftheInternationalFisherEffect
holds,E(e)=i$-i¥andifIRPalsoholdsS(F-S)E(e)=S(F-S)-ii¥=$thenforwardparityholds.25EquilibriumExchangeRateRelationshipsS
(F-S)E(e))-i(i¥$$-£IRPPPPFEFRPPPIFEFP26ForecastingExchangeRates⚫EfficientMarketsApproach⚫FundamentalApproach⚫TechnicalApproach⚫Performanceof
theForecasters27EfficientMarketsApproach⚫FinancialMarketsareefficientifpricesreflectallavailableandrelevantinformation.⚫Ifthis
isso,exchangerateswillonlychangewhennewinformationarrives,thus:St=E[St+1]andFt=E[St+1|It]⚫Predictingexchangeratesusingtheefficientmarke
tsapproachisaffordableandishardtobeat.28FundamentalApproach⚫Involveseconometricstodevelopmodelsthatuseavarietyofexplanatoryvariables.Thisinvo
lvesthreesteps:◼step1:Estimatethestructuralmodel.◼step2:Estimatefutureparametervalues.◼step3:Usethemodeltodevelopforecasts.⚫Thedownsideisthatfu
ndamentalmodelsdonotworkanybetterthantheforwardratemodelortherandomwalkmodel.29TechnicalApproach⚫Technicalanalysislooksforpatternsint
hepastbehaviorofexchangerates.⚫Clearlyitisbaseduponthepremisethathistoryrepeatsitself.⚫ThusitisatoddswiththeEMH30Performa
nceoftheForecasters⚫Forecastingisdifficult,especiallywithregardtothefuture.⚫Asawhole,forecasterscanno
tdoabetterjobofforecastingfutureexchangeratesthantheforwardrate.⚫ThefounderofForbesMagazineoncesaid:“Youcanmakemoremoneysellingad
vicethanfollowingit.”31EndChapterFive32