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ChapterSeven

PrinciplesofMarketValuation

Thischaptercontains30multiplechoicequestions,10shortproblemsand5longerproblems.

MultipleChoice

Inregardtoanasset,the________isdefinedastheprocesswell-informedinvestorsmustpayforitinafreeandcompetitivemarket.

analystvalue

technicalvalue

competitivevalue

fundamentalvalue

Answer:(d)

Incorporatefinancedecisionmaking,anextremelyimportantruleistochoosetheinvestmentthat________currentshareholders?wealth.

minimizes

maximizes

provideszerochangein

jeopardizes

Answer:(b)

Inassetvaluation,themethodusedtoaccomplishtheestimationdependsonthe________.

numberofparticipants

qualityofcalculatinginstruments

richnessoftheinformationsetavailable

geographiclocation

Answer:(c)

The________statesthatinacompetitivemarket,iftwoassetsareequivalent,theywilltendtohavethesamemarketprice.

LawofRealInterestRates

LawofOnePrice

LawofPriceEquivalency

LawofFutures

Answer:(b)

TheLawofOnePriceisenforcedbyaprocesscalled________,thepurchaseandimmediatesaleofequivalentassetsinordertoearnasureprofitfromadifferenceintheirprices.

swapping

maximization

arbitrage

speculation

Answer:(c)

________referstothetotalityofcostssuchasshipping,handling,insuring,andbrokerfees.

Shippingcosts

Transactioncosts

Installationcosts

Insurancecosts

Answer:(b)

TheLawofOnepriceisastatementaboutthepriceofoneasset________thepriceofanother.

absoluteto

relativeto

multipliedby

independentof

Answer:(b)

Ifanentityborrowsatalowerrateandlendsatahigherrate,thisisanexampleof________.

opportunityarbitrage

interest-ratearbitrage

exchangearbitrage

nominalarbitrage

Answer:(b)

Ifarbitrageensuresthatanythreecurrenciesarefreelyconvertibleincompetitivemarkets,then:

itisenoughtoknowonlyoneexchangeratetodeterminethethird

wecanestimatetwoexchangeratesbasedononeexchangerateonly

itisenoughtoknowtheexchangeratesbetweenanytwoinordertodeterminethethird

itisnecessarytoknowallthreerates

Answer:(c)

Supposeyouhave$15,000inabankaccountearninganinterestrateof4%peryear.Atthesametimeyouhaveanunpaidbalanceonyourcreditcardof$6,000onwhichyouarepayinganinterestrateof17%peryear.Whatarbitrageopportunitydoyouface?

$240peryear

$600peryear

$780peryear

$1,020peryear

Answer:(c)

IfthedollarpriceofJapaneseYenis$0.009594perJapaneseYenandthedollarpriceofChineseYuanis$0.1433perChineseYuan,whatistheJapaneseYenpriceofaChineseYuan?(i.e.,JPY/CNY)

0.001375JPY/CNY

0.066950JPY/CNY

9.594JPY/CNY

14.936419JPY/CNY

Answer:(d)

Ifthedollarpriceofguildersis$0.5634perGuilderandthedollarpriceofEurosis$1.5576perEuro,whatistheEuropriceoftheGuilder?(i.e.,EUR/ANG)

0.361700EUR/ANG

0.877552EUR/ANG

2.764643EUR/ANG

5.634EUR/ANG

Answer:(d)

Supposethepriceofgoldis51.09Britishpoundsperounce.Ifthedollarpriceofgoldis$100perounce,whatwouldyouexpectthedollarpriceofaBritishpoundtobe?

$1.95733perGBP

$1.5109perGBP

$0.5109perGBP

$0.4891perGBP

Answer:(a)

Questions14-18refertothefollowingexchangeratetable.Toanswer14-18youwillhavetofillinthemissingexchangerates.

U.S.Dollar

(USD)

Peso(MXN)

Euro(EUR)

CdnDlr(CAD)

U.S.Dollar

$1

Peso

10.398

Euro

0.6420

CdnDlr

1.0003

WhatistheEuro/Pesoexchangerate?(i.e.,EUR/MXN)

0.617426EUR/MXN

0.641807EUR/MXN

6.675516EUR/MXN

16.196262EUR/MXN

Answer:(a)

WhatistheCdnDlr/Euroexchangerate?(i.e.,CAD/EUR)

0.641807CAD/EUR

1.558099CAD/EUR

6.420CAD/EUR

16.196262CAD/EUR

Answer:(b)

WhatistheEuro/CdnDlrexchangerate?(i.e.,EUR/CAD)

0.3583EUR/CAD

0.641807EUR/CAD

1.558099EUR/CAD

10.394EUR/CAD

Answer:(b)

WhatisthePeso/CdnDlrexchangerate?(i.e.,MXN/CAD)

0.096201MXN/CAD

0.641807MXN/CAD

10.394882MXN/CAD

16.196262MXN/CAD

Answer:(c)

WhatisthePeso/Euroexchangerate?(i.e.,MXN/EUR)

0.617426MXN/EUR

6.675516MXN/EUR

15.581112MXN/EUR

16.196262MXN/EUR

Answer:(d)

YouaretravellinginFarOutwhereyoucanbuy130kranes(akranebeingtheunitofcurrencyofFarOut)withaU.S.dollaratofficialFarOutbanks.Yourtourguidehasarelativewhodabblesintheblackmarketandthisparticularrelativewillsellyoukranesforjust$0.00833eachontheblackmarket.Howmuchwillyouloseorgainbyexchanging$200ontheblackmarketinsteadofgoingtothebank?

youwouldgainapproximately1,660kranes

youwouldloseapproximately1,660kranes

youwouldgainapproximately1,990kranes

youwouldloseapproximately1,990kranes

Answer:(d)

Inestimatingthevalueofashareofafirm?sstock,asimplemodelisto:

divideEPSbyaP/Emultiple

multiplyEPSbyaP/Emultiple

multiplyEPSbyEAT

divideEPSbymarketvalue

Answer:(b)

Afirm?searningspershareare$6andtheindustryaverageP/Emultipleis9.Whatwouldbeanestimateofthevalueofashareofthefirm?sstock?

$54.00

$45.00

$1.50

$0.67

Answer:(a)

Thevalueoftheassetasitappearsinthefinancialstatementiscalledtheasset?s________.

marketvalue

fixedvalue

bookvalue

expectedvalue

Answer:(c)

Considerthefollowingstockmarketreactiontotheinformationcontainedinacompany?sannouncement.Acorporationhasjustannouncedthatitmustpursuetheissuanceofcompanyequity.Wecouldexpecttosee________inthepriceofcompanystock.

arise

adrop

arapidrise

zerochange

Answer:(b)

Considerwhatthestockmarketreactiontothefollowingannouncementwouldbe.Acorporationhasjustannouncedthatitisengaginginastocksplitofthecompany?sshares.Wecouldexpecttoseea________intheoverallmarketcapitalizationrateanda________inthepriceofcompanystock.

rise;drop

drop;rise

rise;drop

rise;drop

Answer:(a)

The________isthepropositionthatanasset?scurrentpricefullyreflectsallpubliclyavailableinformationaboutfutureeconomicfundamentalsaffectingtheasset?svalue.

publicmarketshypothesis

efficientmarketsexchangerates

fundamentalvalueproposition

efficientmarketshypothesis

Answer:(d)

Themarketpriceofanassetreflectsthe________ofallanalysts?opinionswithheavierweightsonanalystswhocontrollargeamountsofmoneyandonthoseanalystswhohavebetterthanaverageinformation.

bestestimate

weightedaverage

highestestimate

lowestestimate

Answer:(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-rateparity

realinterest-rateparity

efficientinflationrateparity

efficientmarketrate

Answer:(b)

________statesthatexchangeratesadjustsoastomaintainthesame?real?priceofa?representative?basketofgoodsandservicesaroundtheworld.

Purchasingpowerparity

Efficientmarketshypothesis

Marketvaluationmodel

Exchangerateequity

Answer:(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)

ShortProblems

Supposeyouhave$20,000inabankaccountearninganinterestrateof4%peryear.Atthesametimeyouhaveanunpaidbalanceonyourcreditcardof$7,000onwhichyouarepayinganinterestrateof18%peryear.Whatisthearbitrageopportunityyouface?

Answer:Youcouldtake$7,000outofyourbankaccountandpaydownyourcreditcardbalance.Youwouldgiveup4%peryearininterestearnings($280)butyouwouldsave18%peryearininterestexpenses($1,260).Sothearbitrageopportunityisworth$980peryear.

Fillinthemissingexchangeratesinthefollowingtable:

U.S.Dollar

Euro

DanishKrone

JapaneseYen

U.S.Dollar

$1

1.5576

0.2088

0.009594

Euro

0.6420

DanishKrone

4.7898

JapaneseYen

104.23

Answer:

U.S.Dollar

Euro

DanishKrone

JapaneseYen

U.S.Dollar

$1

1.5576

0.2088

0.009594

Euro

0.6420

1Euro

0.1340

0.006159

DanishKrone

4.7898

7.46074

1Krone

0.45954

JapaneseYen

104.23

162.35

21.761

Yen1

YouobservethatthedollarpriceoftheMexicanpesois$0.09618andthedollarpriceoftheCanadiandollaris$0.9997.WhatmusttheexchangeratebetweentheMexicanpesoandtheCanadiandollarbefortheretobenoarbitrageopportunity?

Answer: CAD/MXN=0.09618

0.9997

=0.096208CAD/MXN

Supposethattheexchangerateis$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=45,000kranes

Ontheblackmarket:$300x1/0.00685kranes=43,796kranes

Hence,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%peryear

Assumethattheworldwiderisk-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

LongerProblems

Let?sassumethatyouhaveoperatedyourownbusinessfor18years.Forthemostrecentfiscalyear,saleswere$15million.NetIncomeforthemostrecentfiscalyearwas$1.5million.Thebookvalueofyourbusinesswas$11million.Recently,afirmwhichisengagedinsimilaractivitiestoyourownwassoldandthefollowinginformationwasmadepublic:

MultipleofBookValue 0.8x

MultipleofNetIncome 11x

MultipleofSales 0.7x

Howwouldyoudetermineanappropriaterangeofvalueforyourcompany?

Ithascometoyourattentionthatyourcompanyhasfutureinvestmentopportunitiesthatwouldbelessprofitablethanthecompetingcompanyabove.Whatdoesthissayaboutthevaluationofyourcompany?

Answer:a) MultipleofSales:0.7x=$15millionx0.7=$10.5million

MultipleofNetIncome:11x=$1.5millionx11=$16.5million

MultipleofBookValue:0.8x=$11millionx0.8=$8.8million

b) 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.

TheYenwill

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