International-Financial-Management---Bekaert-2e---Solutions---Ch02.doc
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Chapter2:
TheForeignExchangeMarket5
Chapter 2
TheForeignExchangeMarket
QUESTIONS
1.Whatisanexchangerate?
Answer:
Anexchangerateistherelativepriceoftwocurrencies,liketheU.S.dollarpriceoftheeuro,theThaibahtpriceoftheMalaysianringgit,ortheMexicanpesopriceoftheCanadiandollar.
2.Whatisthestructureoftheforeignexchangemarket?
IsitliketheNewYorkStockExchange?
Answer:
Theinterbankforeignexchangemarketisaverylarge,diverse,over-the-countermarket,notaphysicaltradingplacewherebuyersandsellersgathertoagreeonapricetoexchangecurrencies.Traders,whoareemployeesoffinancialinstitutionsinthemajorfinancialcitiesaroundtheworld,dealwitheachotherprimarilyoverthephoneorviacomputer,withwrittenorformalelectronicconfirmationsoftransactionsoccurringonlylater.
3.Whatisaspotexchangeratecontract?
Whendoesdeliveryoccuronaspotcontract?
Answer:
Whencurrenciesintheinterbankspotmarketaretraded,certainbusinessconventionsarefollowed.Forexample,whenthetradeinvolvestheU.S.dollar,businessconventiondictatesthatspotcontractsaresettledin2businessdays—thatis,thepaymentofonecurrencyandreceiptoftheothercurrencyoccursin2businessdays.Onebusinessdayisnecessarybecauseoftheback-officepaperworkinvolvedinanyfinancialtransaction.Theseconddayisneededbecauseofthetimezonedifferencesaroundtheworld.
Severalexceptionstothe2-business-dayrulearenoteworthy.First,forexchangesbetweentheU.S.dollarandtheCanadiandollarortheMexicanpeso,theruleis1businessday.Second,ifthetransactioninvolvesthedollarandthefirstofthe2daysisaholidayintheUnitedStatesbutnotintheothersettlementcenter,thefirstdayiscountedasabusinessdayforsettlementpurposes.Third,FridaysarenotpartofthebusinessweekinmostMiddleEasterncountries,althoughSaturdaysandSundaysare.Hence,non–MiddleEasterncurrenciessettleonFridays,andMiddleEasterncurrenciessettleonSaturdays.
4.WhatwastheJapaneseyenspotpriceoftheU.S.dollaronDecember21,2010?
Answer:
ExaminingExhibit2.5forDecember21,2010wefindthattheJapaneseyenspotpriceoftheU.S.dollarwas¥84.12/$.
5.WhatwastheU.S.dollarspotpriceoftheSwissfranconDecember21,2010?
Answer:
ExaminingExhibit2.5forDecember21,2010,wefindthattheU.S.dollarspotpriceoftheSwissfrancwas$1.0289/CHF.
6.Howlargearethebid–askspreadsintheinterbankspotmarket?
Whatistheirpurpose?
Answer:
Thepurposeofthebid-askspreadistoallowtraderstoprofitbybuyingacurrencyatalowbidpriceandsellingthatcurrencyatahigheraskprice.Bid–askspreadsinthespotforeignexchangemarketarequitesmall,oftenonlytwoorthreebasispoints.Forexample,ayen–dollartradermightquoteabidpriceofyenperdollaratwhichsheiswillingtobuydollarsinexchangeforyenof,say,¥83.74/$.Thetraderwouldthenquoteahigheraskpriceatwhichsheiswillingtoselldollarsforyen,say,atanexchangerateof¥83.76/$.Thispercentagebid-askspreadis
7.WhatwastheeuropriceoftheBritishpoundonDecember21,2010?
Why?
Answer:
Wecanfindthisinformationtwoways.Thecross-ratequotefromExhibit2.6is€1.1818/£.TheexchangeratesofeurosperdollaranddollarsperpoundfromExhibit2.5are€0.7636/$and$1.5477/£.Weknowthattherewouldbeatriangulararbitragepossibilityifthecross-ratediffersfromtheindirectrateusingthedollarasanintermediary.Thus,wefindthesamevalueifwecalculate
8.IfthedirecteuropriceoftheBritishpoundishigherthantheindirecteuropriceoftheBritishpoundusingthedollarasavehiclecurrency,howcouldyoumakeaprofitbytradingthesecurrencies?
Answer:
IfthedirecteuropriceoftheBritishpoundishigherthantheindirecteuropriceoftheBritishpoundusingthedollarasavehiclecurrency,therewouldbeatriangulararbitrage.Wewouldwanttobuypoundsattheindirectlowpriceandsellpoundsatthedirecthighprice.SupposeinQuestion7thatthedirectpriceeurosperpoundwere€1.2115/£andtheexchangeratesversusthedollarare€0.7636/$and$1.5477/£.Theindirecteuropriceofthepoundistherefore
Ifwestartwith€10,000,000,wecanconverteurostodollarsandget
€10,000,000/€0.7636/$=$13,095,862
Convertingthesedollarsintopoundsgives
$13,095,862/$1.5477/£=£8,461,499
Convertingthesepoundsintoeurosgives
€1.2115/££8,461,499=€10,251,106
Thus,wemakeaprofitof€251,106or2.51%.
9.Whatisanappreciationofthedollarrelativetothepound?
Whathappenstothedollarpriceofthepoundinthissituation?
Answer:
Anappreciationofthedollarrelativetothepoundmeansthatittakesfewerdollarstobuyapound,sothedollarpriceofthepoundfalls.Thissituationisalsodescribedasthedollarisstrongerintheforeignexchangemarket,thepoundhasdepreciatedversusthedollar,andthepoundisweakerintheforeignexchangemarket.
10.WhatisadepreciationoftheThaibahtrelativetotheMalaysianringgit?
Whathappenstothebahtpriceoftheringgitinthissituation?
Answer:
AdepreciationoftheThaibahtrelativetotheMalaysianringgitmeansthatitwilltakemorebahttobuyoneringgit.Thus,thebahtpriceoftheringgitisnowhigherafterthedepreciationofthebaht.
PROBLEMS
1.MississippiMudPies,Inc.needstobuy1,000,000Swissfrancs(CHF)topayitsSwisschocolatesupplier.Itsbankerquotesbid–askratesofCHF1.3990–1.4000/USD.WhatwillbethedollarcostoftheCHF1,000,000?
Answer:
Thebank’sbidrateisCHF1.3990/$.Thatisthepriceatwhichthebankiswillingtobuy$1inreturnforCHF1.3990.ThebanksellsdollarsatitsaskpriceCHF1.4000/$.MississippiMudPiesmustselldollarstothebanktobuyCHF.ThereforeMississippiMudPieswillreceivethebank’sbidrateofCHF1.3990/$.ThedollarcostofCHF1,000,000isconsequently
CHF1,000,000/CHF1.399/$=$714,796
2.IftheJapaneseyen–U.S.dollarexchangerateis¥104.30/$,andittakes25.15Thaibahtstopurchase1dollar,whatistheyenpriceofthebaht?
Answer:
Topreventtriangulararbitrage,thedirectquoteoftheyenpriceofthebaht(¥/THB)mustequaltheyenpriceofthedollartimesthedollarpriceofthebaht(whichisthereciprocalofthebahtpriceofthedollar):
¥104.30/$1/(THB25.15/$)=¥104.30/$$0.03976/THB=¥4.1471/THB
3.Asaforeignexchangetrader,youseethefollowingquotesforCanadiandollars(CAD),U.S.dollars(USD),andMexicanpesos(MXN):
USD0.7047/CAD MXN6.4390/CAD MXN8.7535/USD
Isthereanarbitrageopportunity,andifso,howwouldyouexploitit?
Answer:
Thedirectquoteforthecross-rateofMXN6.4390/CADshouldequaltheimpliedcross-rateusingthedollarasanintermediarycurrency;otherwisethereexistsatriangulararbitrageopportunity.Theindirectcrossrateis
MXN8.7535/USDUSD0.7047/CAD=MXN6.1686/CAD
Thisindirectcrossrateislessthanthedirectquotesothereisanarbitrageopportunitytoexploitbetweenthethreecurrencies.Inthissituation,buyingtheCADwithMXNbyfirstbuyingUSDwithMXNandthenbuyingtheCADwiththeUSDandfinallysellingthatamountofCADdirectlyforMXNwouldmakeaprofitbecausewewouldbebuyingtheCADatalowMXNpriceandsellingtheCADatahighMXNprice.
4.TheMexicanpesohasweakenedconsiderablyrelativetothedollar,andyouaretryingtodecidewhetherthisisagoodtimetoinvestinMexico.SupposethecurrentexchangerateoftheMexicanpesorelativetotheU.S.dollarisMXN9.5/USD.YourinvestmentadvisoratGoldmanSachsarguesthatthepesowilllose15%ofitsvaluerelativetothedollaroverthenextyear.WhatisGoldmanSachs’sforecastoftheexchangeratein1year?
Answer:
OnewaytothinkofthisistosaythattheinvestmentadvisorisreferringtothefactthattheMexicanpesopriceofthedollarwillbe15%highernextyear.Inthiscase,theforecastoftheMXN/USDexchangerateinyear1
MXN9.5/USD1.15=MXN10.925/USD
A15%lossofvalueoftheMexicanpesoversustheU.S.dollartechnicallymeansthatdollarpriceofthepesois15%lower.WeknowthatthecurrentUSDpriceofthepesois
1/(MXN9.5/USD)=USD0.105263/MXN
Ifthisexchangeratefallsby15%,thenewexchangeratewillbe
0.85USD0.105263/MXN=USD0.089474/MNX
Inthiscasetheforecastforthefutureexchangeratemeasuredinpesosperdollaris
1/(USD0.089474/MXN)=MXN11.1765/USD
Thedifferencearisesbecausethesimplepercentagechangeintheexchangeratedependsonhowtheexchangerateisquoted.
5.DeutscheBankquotesbid–askratesof$1.3005/€-$1.3007/€and¥104.30-104.40/$.WhatwouldbeDeutscheBank’sdirectaskingpriceofyenpereuro?
Answer:
Thedirectaskingpriceofyenpereuro(¥/€)istheamountofyenthatthebankchargessomeonewhoisbuyingeuroswithyen.Thebankwouldwantthistobethesameasthepriceatwhichitsellsdollarsforyen(thebank’saskprice)timesthepriceatwhichitsellseurosfordollars(alsothebank’saskprice).Thus,theaskingpriceofyenpereuroshouldbe
(¥104.40/$)($1.3007/€)=¥135.79/€
6.AluminaLimitedofAustraliahascalledMitsubishiUFJFinancialGrouptogetitsopinionabouttheJapaneseyen–Australiandollarexchangerate.Thecurrentrateis¥67.72/A$,andMitsubishithinkstheAustraliandollarwillweakenby5%overthenextyear.WhatisMitsubishiUFJ’sforecastofthefutureexchangerate?
Answer:
IftheAustraliandollarweakensby5%overthenextyear,itwilltake5%fewerJapaneseyentopurchasetheAu