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ChapterSevenPrinciplesofMarketValuationThischaptercontains30multiplechoicequestions,10shortproblemsand5longerproblems.MultipleChoiceInregardtoanasset,the________isdefinedastheprocesswell-informedinvestorsmustpayforitinafreeandcompetitivemarket.analystvaluetechnicalvaluecompetitivevaluefundamentalvalueAnswer:(d)Incorporatefinancedecisionmaking,anextremelyimportantruleistochoosetheinvestmentthat________currentshareholders?wealth.minimizesmaximizesprovideszerochangeinjeopardizesAnswer:(b)Inassetvaluation,themethodusedtoaccomplishtheestimationdependsonthe________.numberofparticipantsqualityofcalculatinginstrumentsrichnessoftheinformationsetavailablegeographiclocationAnswer:(c)
The________statesthatinacompetitivemarket,iftwoassetsareequivalent,theywilltendtohavethesamemarketprice.LawofRealInterestRatesLawofOnePriceLawofPriceEquivalencyLawofFuturesAnswer:(b)TheLawofOnePriceisenforcedbyaprocesscalled________,thepurchaseandimmediatesaleofequivalentassetsinordertoearnasureprofitfromadifferenceintheirprices.swappingmaximizationarbitragespeculationAnswer:(c)________referstothetotalityofcostssuchasshipping,handling,insuring,andbrokerfees.ShippingcostsTransactioncostsInstallationcostsInsurancecostsAnswer:(b)TheLawofOnepriceisastatementaboutthepriceofoneasset________thepriceofanother.absolutetorelativetomultipliedbyindependentofAnswer:(b)
Ifanentityborrowsatalowerrateandlendsatahigherrate,thisisanexampleof________.opportunityarbitrageinterest-ratearbitrageexchangearbitragenominalarbitrageAnswer:(b)Ifarbitrageensuresthatanythreecurrenciesarefreelyconvertibleincompetitivemarkets,then:itisenoughtoknowonlyoneexchangeratetodeterminethethirdwecanestimatetwoexchangeratesbasedononeexchangerateonlyitisenoughtoknowtheexchangeratesbetweenanytwoinordertodeterminethethirditisnecessarytoknowallthreeratesAnswer:(c)Supposeyouhave$15,000inabankaccountearninganinterestrateof4%peryear.Atthesametimeyouhaveanunpaidbalanceonyourcreditcardof$6,000onwhichyouarepayinganinterestrateof17%peryear.Whatarbitrageopportunitydoyouface?$240peryear$600peryear$780peryear$1,020peryearAnswer:(c)IfthedollarpriceofJapaneseYenis$0.009594perJapaneseYenandthedollarpriceofChineseYuanis$0.1433perChineseYuan,whatistheJapaneseYenpriceofaChineseYuan?(i.e.,JPY/CNY)0.001375JPY/CNY0.066950JPY/CNY9.594JPY/CNY14.936419JPY/CNYAnswer:(d)
Ifthedollarpriceofguildersis$0.5634perGuilderandthedollarpriceofEurosis$1.5576perEuro,whatistheEuropriceoftheGuilder?(i.e.,EUR/ANG)0.361700EUR/ANG0.877552EUR/ANG2.764643EUR/ANG5.634EUR/ANGAnswer:(d)Supposethepriceofgoldis51.09Britishpoundsperounce.Ifthedollarpriceofgoldis$100perounce,whatwouldyouexpectthedollarpriceofaBritishpoundtobe?$1.95733perGBP$1.5109perGBP$0.5109perGBP$0.4891perGBPAnswer:(a)Questions14-18refertothefollowingexchangeratetable.Toanswer14-18youwillhavetofillinthemissingexchangerates.U.S.Dollar(USD)Peso(MXN)Euro(EUR)CdnDlr(CAD)U.S.Dollar$1Peso10.398Euro0.6420CdnDlr1.0003WhatistheEuro/Pesoexchangerate?(i.e.,EUR/MXN)0.617426EUR/MXN0.641807EUR/MXN6.675516EUR/MXN16.196262EUR/MXNAnswer:(a)?WhatistheCdnDlr/Euroexchangerate?(i.e.,CAD/EUR)0.641807CAD/EUR1.558099CAD/EUR6.420CAD/EUR16.196262CAD/EURAnswer:(b)WhatistheEuro/CdnDlrexchangerate?(i.e.,EUR/CAD)0.3583EUR/CAD0.641807EUR/CAD1.558099EUR/CAD10.394EUR/CADAnswer:(b)WhatisthePeso/CdnDlrexchangerate?(i.e.,MXN/CAD)0.096201MXN/CAD0.641807MXN/CAD10.394882MXN/CAD16.196262MXN/CADAnswer:(c)WhatisthePeso/Euroexchangerate?(i.e.,MXN/EUR)0.617426MXN/EUR6.675516MXN/EUR15.581112MXN/EUR16.196262MXN/EURAnswer:(d)
YouaretravellinginFarOutwhereyoucanbuy130kranes(akranebeingtheunitofcurrencyofFarOut)withaU.S.dollaratofficialFarOutbanks.Yourtourguidehasarelativewhodabblesintheblackmarketandthisparticularrelativewillsellyoukranesforjust$0.00833eachontheblackmarket.Howmuchwillyouloseorgainbyexchanging$200ontheblackmarketinsteadofgoingtothebank?youwouldgainapproximately1,660kranesyouwouldloseapproximately1,660kranesyouwouldgainapproximately1,990kranesyouwouldloseapproximately1,990kranesAnswer:(d)Inestimatingthevalueofashareofafirm?sstock,asimplemodelisto:divideEPSbyaP/EmultiplemultiplyEPSbyaP/EmultiplemultiplyEPSbyEATdivideEPSbymarketvalueAnswer:(b)Afirm?searningspershareare$6andtheindustryaverageP/Emultipleis9.Whatwouldbeanestimateofthevalueofashareofthefirm?sstock?$54.00$45.00$1.50$0.67Answer:(a)Thevalueoftheassetasitappearsinthefinancialstatementiscalledtheasset?s________.marketvaluefixedvaluebookvalueexpectedvalueAnswer:(c)?Considerthefollowingstockmarketreactiontotheinformationcontainedinacompany?sannouncement.Acorporationhasjustannouncedthatitmustpursuetheissuanceofcompanyequity.Wecouldexpecttosee________inthepriceofcompanystock.ariseadroparapidrisezerochangeAnswer:(b)Considerwhatthestockmarketreactiontothefollowingannouncementwouldbe.Acorporationhasjustannouncedthatitisengaginginastocksplitofthecompany?sshares.Wecouldexpecttoseea________intheoverallmarketcapitalizationrateanda________inthepriceofcompanystock.rise;dropdrop;riserise;droprise;dropAnswer:(a)The________isthepropositionthatanasset?scurrentpricefullyreflectsallpubliclyavailableinformationaboutfutureeconomicfundamentalsaffectingtheasset?svalue.publicmarketshypothesisefficientmarketsexchangeratesfundamentalvaluepropositionefficientmarketshypothesisAnswer:(d)Themarketpriceofanassetreflectsthe________ofallanalysts?opinionswithheavierweightsonanalystswhocontrollargeamountsofmoneyandonthoseanalystswhohavebetterthanaverageinformation.bestestimateweightedaveragehighestestimatelowestestimateAnswer:(b)
Assumethattheworldwiderisk-freerealrateofinterestis4%peryear.InflationinDenmarkis9%peryearandintheUnitedStatesitis7%peryear.Assumingthereisnouncertaintyaboutinflation,whataretheimpliednominalinterestratesdenominatedinDanishkroneandinU.S.dollars,respectively?16.63%(DKK);13.50%(USD)13.50%(DKK);16.63%(USD)13.36%(DKK);11.28%(USD)11.28%(DKK);13.36%(USD)Answer:(c)The________theorystatesthattheexpectedrealinterestrateonrisk-freeloansisthesameallovertheworld.nominalinterest-rateparityrealinterest-rateparityefficientinflationrateparityefficientmarketrateAnswer:(b)________statesthatexchangeratesadjustsoastomaintainthesame?real?priceofa?representative?basketofgoodsandservicesaroundtheworld.PurchasingpowerparityEfficientmarketshypothesisMarketvaluationmodelExchangerateequityAnswer:(a)Assumethattheworldwiderisk-freerealrateofinterestis5%peryear.InflationinAustraliais9%peryearandinGreatBritainitis12%peryear.Assumingthereisnouncertaintyaboutinflation,whataretheimpliednominalinterestratesdenominatedinAustraliandollarsandGreatBritainpounds,respectively?22.08%(AUD),11.45%(GBP)?11.45%(AUD),22.08%(GBP)17.60%(AUD),14.45%(GBP)14.45%(AUD),17.60%(GBP)Answer:(d)
ShortProblemsSupposeyouhave$20,000inabankaccountearninganinterestrateof4%peryear.Atthesametimeyouhaveanunpaidbalanceonyourcreditcardof$7,000onwhichyouarepayinganinterestrateof18%peryear.Whatisthearbitrageopportunityyouface?Answer:Youcouldtake$7,000outofyourbankaccountandpaydownyourcreditcardbalance.Youwouldgiveup4%peryearininterestearnings($280)butyouwouldsave18%peryearininterestexpenses($1,260).Sothearbitrageopportunityisworth$980peryear.Fillinthemissingexchangeratesinthefollowingtable: U.S.DollarEuroDanishKroneJapaneseYenU.S.Dollar$11.55760.20880.009594Euro0.6420DanishKrone4.7898JapaneseYen104.23Answer:U.S.DollarEuroDanishKroneJapaneseYenU.S.Dollar$11.55760.20880.009594Euro0.64201Euro0.13400.006159DanishKrone4.78987.460741Krone0.45954JapaneseYen104.23162.3521.761Yen1YouobservethatthedollarpriceoftheMexicanpesois$0.09618andthedollarpriceoftheCanadiandollaris$0.9997.WhatmusttheexchangeratebetweentheMexicanpesoandtheCanadiandollarbefortheretobenoarbitrageopportunity?Answer: CAD/MXN=0.096180.9997=0.096208CAD/MXNSupposethattheexchangerateis$0.2970totheIsraelishekel.Howcouldyoumakearbitrageprofitswith$10,000ifthedollarpriceofgoldis$200perounceandtheshekelpriceis750ILSperounce?Answer:Take$10,000andbuy50ouncesofgoldat$200perounce.Sell50ouncesofgoldinIsraelfor37,500ILS(750ILSperounce).Take37,500ILSandexchangeitintodollarsworth$11,137.50.Thearbitrageprofitis$1,137.50.YouaretravellinginFarOutwhereyoucanbuy150kranes(akranebeingtheunitofcurrencyinFarOut)withaU.S.dollaratofficialFarOutbanks.Yourtourguidehasarelativewhodabblesintheblackmarketandthisparticularrelativewillsellyoukranesforjust$0.00685eachontheblackmarket.Howmuchwouldyougainorlosebyexchanging$300ontheblackmarketinsteadofgoingtothebank?Answer:Ontheofficialmarket:$300x150kranes=45,000kranesOntheblackmarket:$300x1/0.00685kranes=43,796kranesHence,youwouldlose1,204kranes.Afirm?searningspershareare$5.50andtheindustryaverageP/Emultipleis8.Whatwouldbeanestimateofthevalueofashareofthefirm?sstock?Isitpossibleforfirmsbeingclassifiedinthesameindustrytohavedifferentprice/earningsmultiples?Answer: Estimatedvalueshareofstock?=firm?sEPSxIndustryaverageP/E =$5.50x8 ?? =$44.00 FirmsclassifiedasbeinginthesameindustrymayhavedifferentopportunitiesforgrowthinthefutureandmaythereforedifferintheirP/Emultiples.TheP/EmultipleofBHMCorporationiscurrently5,whiletheP/EratiooftheS&P500is10.Whatreasonscouldaccountforthisdifference?Answer: BHM?sreportedearningsmaybehigherthantheyareexpectedtobeinthefuture,ortheymaybeinflatedduetospecialaccountingmethodsusedbyBHM.BHMmayberiskierthantheS&P500eitherbecauseitisinarelativelyriskyindustryorhasarelativelyhigherdebtratio.ThepriceofHubrisCo.stockrecentlyjumpedwhentheCEOforthecompanyannouncedanincreaseddividendpaymentfortheyear.Whatmightaccountforsuchamarketreaction?Answer:Themarketmaybelievethecompany?sfutureprospectslookverybright(thatis,higherearnings,lessrisk,soundgrowth,etc.)andthatthecompanycansustainsuchanearningsgrowth.?Assumethattheworldwiderisk-freerealrateofinterestis4%peryear.Denmarkhasanexpectedrateofinflationof9%peryearandinSpainhasanexpectedrateofinflationof14%peryear.Assumingthereisnouncertaintyaboutinflation,whataretheimpliednominalinterestratesdenominatedinKronerandEuros?Answer:?Denmark:nominalinterestrate=(1.04)x(1.09)?1? ? =13.36%peryear Spain:nominalinterestrate?=(1.04)x(1.14)?1 ? ??=18.56%peryearAssumethattheworldwiderisk-freerealrateofinterestis4%peryear.TheUnitedKingdomhasanexpectedrateofinflationof8%peryearandinBelgiumitis10%peryear.Assumingthereisnouncertaintyaboutinflation,whataretheimpliednominalinterestratesdenominatedinPoundsSterlingandEuros?Answer:?UnitedKingdom:nominalinterestrate?=(1.04)x(1.08)?1 ? ??=12.32%peryear Belgium:nominalinterestrate ?=(1.04)x(1.10)?1?? =14.40%peryear
LongerProblemsLet?sassumethatyouhaveoperatedyourownbusinessfor18years.Forthemostrecentfiscalyear,saleswere$15million.NetIncomeforthemostrecentfiscalyearwas$1.5million.Thebookvalueofyourbusinesswas$11million.Recently,afirmwhichisengagedinsimilaractivitiestoyourownwassoldandthefollowinginformationwasmadepublic:MultipleofBookValue 0.8xMultipleofNetIncome 11xMultipleofSales?0.7xHowwouldyoudetermineanappropriaterangeofvalueforyourcompany?Ithascometoyourattentionthatyourcompanyhasfutureinvestmentopportunitiesthatwouldbelessprofitablethanthecompetingcompanyabove.Whatdoesthissayaboutthevaluationofyourcompany?Answer:a)?MultipleofSales:0.7x=$15millionx0.7=$10.5million MultipleofNetIncome:11x=$1.5millionx11=$16.5million? MultipleofBookValue:0.8x=$11millionx0.8=$8.8millionb)?Thevaluationofyourcompanywouldbeatthelowerendoftherange.BHMstockistradingfor$47pershareontheNYSEand$45pershareontheSydneyStockExchange.AssumethatthecostsofbuyingandsellingBHMstockarenegligible.Howcanyoumakeanarbitrageprofit?OvertimewhatwouldyouexpecttohappentostockpricesinNewYorkandSydney?NowassumethatthecostofbuyingandsellingsharesofBHMare2%pertransaction.Howdoesthisaffectyouranswers?Answer:a)?YoucouldbuyBHMstockinSydneyandsimultaneouslysellitinNewYork.Yourarbitrageprofitwouldbe$2pershare.Thepriceswouldbecomeequal.Therecouldremaina2%discrepancybetweenthepriceswhichwouldbe$1.84inthisinstance.
Supposeyouhave$50,000inabankaccountearninganinterestrateof3.5%peryear.Atthesametimeyouhaveanunpaidbalanceonyourcreditcardof$13,000onwhichyouarepayinganinterestrateof21%peryear.Whatisthearbitrageopportunityyouface?Answer:Youcouldtake$13,000outofyourbankaccountandpaydownyourcreditcardbalance.Youwouldgiveup3.5%peryearininterestearnings($455)butyouwouldsave21%peryearininterestexpenses($2,730).Sothearbitrageopportunityisworth$2,275peryear.ThequotesfromHubrisBankandModestyBankaregivenbelow:HubrisBank:?106Yen/$ModestyBank:?104Yen/$Answerthefollowingquestionsbasedonthesefigures.Ifweassumenotransactioncosts,thereisevidentlyanopportunityforarbitragehere.Ifanarbitrageurstartedwith$10,000,exactlyhowwould(s)hemakeprofitsandhowmuchprofitwould(s)hemake?Asmanytradersengageinarbitragewhodoyouexpecttoseeintheabovequotesatthesetwobanks?Ifthereisa1%transactioncostfortransactionsistherestillanopportunityforarbitrage?Answer:HubrisBank:106Yen/$? ModestyBank:104Yen/$AtHubrisBank,buyYenwithdollars(Yenarecheaper).AtModestyBank,buydollarswithYen(dollarsarecheaper). Startwith$10,000:? AtHubrisBank:$10,000x106Yen/$=1,060,000Yen?AtModestyBank:1,060,000Yenx1$/104Yen=$10,192.31 Youmakeaprofitof$192.31.TheYenwillappr
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