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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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