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CFA一級(jí)Equity部分?Reading38課后習(xí)題及答案
Reading38EquityValuation:ConceptsandBasicTools
1
Ananalystestimatestheintrinsicvalueofastocktobeintherangeof€17.85to€21.45.Thecurrent
marketpriceofthestockis€24.35.Thisstockismostlikely:
Aovervalued.
Bundervalued.
Cfairlyvalued.
SOLUTIONS:
1Aiscorrect.Thecurrentmarketpriceofthestockexceedstheupperboundoftheanalyst'sestimateof
theintrinsicvalueofthestock.
2
Ananalystdeterminestheintrinsicvalueofanequitysecuritytobeequalto$55.Ifthecurrentpriceis$47,
theequityismostlikely:
Aundervalued.
Bfairlyvalued.
Covervalued.
SOLUTIONS:
2Aiscorrect.Themarketpriceislessthantheestimatedintrinsic,orfundamental,value.
3
Inasset-basedvaluationmodels,theintrinsicvalueofacommonshareofstockisbasedonthe:
Aestimatedmarketvalueofthecompany'sassets.
Bestimatedmarketvalueofthecompany'sassetsplusliabilities.
Cestimatedmarketvalueofthecompany/sassetsminusliabilities.
SOLUTIONS:
3Ciscorrect.Asset-basedvaluationmodelscalculatetheintrinsicvalueofequitybysubtractingliabilities
fromthemarketvalueofassets.
-----------------筆記-----------------
FromEquity-Reading38-P365
Asset-basedvaluationmodels.Thesemodelsestimateintrinsicvalueofacommonsharefromthe
estimatedvalueoftheassetsofacorporationminustheestimatedvalueofitsliabilitiesandpreferred
shares.Theestimatedmart?]ketvalueoftheassetsisoftendeterminedbymakingadjustmentstothebook
value(synonym:carryingvalue)ofassetsandliabilities.
4
Whichofthefollowingismostlikelyusedinapresentvaluemodel?
AEnterprisevalue.
BPricetofreecashflow.
CFreecashflowtoequity.
SOLUTIONS:
4Ciscorrect.FCFEcanbeusedinaformofpresentvalue,ordiscountedcashflow,model.BothEVand
pricetofreecashflowareformsofmultipliermodels.
-----------------筆記-----------------
FromEquity-Reading38-P365
>Presentvaluemodels(synonym:discountedcashflowmodels).Thesemodelsestimatetheintrinsic
valueofasecurityasthepresentvalueofthefuturebenefitsexpectedtobereceivedfromthesecurity.
Inpresentvaluemodels,benefitsareoftendefinedintermsofcashexpectedtobedistributedto
shareholders(pividenddiscotntmodelf)orintermsofcashflowsavailabletobedistributedto
shareholdersaftermeetingcapitalexpenditureandworkingcapitalneeds(free-cash-flow-to-equity
modelj).Manymodelsfallwithinthiscategory,rangingfromtherelativelysimpletotheverycomplex.
InSections4-8,wediscussindetailtwoofthesimplermodels,theGordon(constant)growthmodel
andthetwo-stagedividenddiscountmodels.
Multipliermodels(synonym:marketmultiplemodels).Thesemodelsarebasedchieflyonshareprice
multiplesorenterprisevaluemultiples.
■Theformermodelestimatesintrinsicvalueofacommonsharefromapricemultipleforsome
fundamentalvariable,suchasrevenues,earnings,cashflows,orbookvalue.Examplesofthe
multiplesincludepricetoearnings(P/E,sharepricedividedbyearningspershare)andpriceto
sales(P/S,sharepricedividedbysalespershare).Thefundamentalvariablemaybestatedona
forwardbasis(e.g.zforecastedEPSforthenextyear)oratrailingbasis(e.g.,EPSforthepastyear),
aslongastheusageisconsistentacrosscompaniesbeingexamined.Pricemultiplesarealsoused
tocomparerelativevalues.TheuseoftheratioofsharepricetoEPS一thatis,theP/Emultiple-to
judgerelativevalueisanexampleofthisapproachtoequityvaluation.
Enterprisevalue(EV)multipleshavetheform(Enterprisevalue)/(Valueofafundamental
variable).Twopossiblechoicesforthedenominatorareearningsbeforeinterest,taxes,
depreciation,andamortization(EBITDA)andtotalrevenue.Enterprisevalue,thenumerator,isa
measureofacompany'stotalmarketvaluefromwhichcashandshort-terminvestmentshave
beensubtracted(becauseanacquirercouldusethoseassetstopavforacquiringthecompany).An
estimateofcommonsharevaluecanbecalculatedindirectlyfromtheEVmultiple;thevalueof
liabilitiesandpreferredsharescanbesubtractedfromtheEVtoarriveatthevalueofcommon
equitv.
Bookvalueisleastlikelytobeconsideredwhenusing:
Aamultipliermodel.
Banasset-basedvaluationmodel.
Capresentvaluemodel.
SOLUTIONS:
5Ciscorrect.Multipliervaluationmodels(intheformofP/E)andasset-basedvaluationmodels(inthe
formofadjustmentstobookvalue]usebookvalue,whereaspresentvaluemodelstypicallydiscountfuture
expectedcashflows.
6
Ananalystisattemptingtocalculatetheintrinsicvalueofacompanyandhasgatheredthefollowing
companydata:EBITDA,totalmarketvalue,andmarketvalueofcashandshort-terminvestments,liabilities.
-----------------筆記-----------------
FromEquity-Reading38-P371
Inpractice,manyanalystsprefertouseafree-cash-flow-to-equity(FCFE)valuationmodel.Theseanalysts
assumethatdividend-payingcapacityshouldbereflectedinthecashflowestimatesratherthanexpected
dividends.FCFEisameasureofdividendpayinHcapacity.AnalystsmayalsouseFCFEvaluationmodelsfora
rior-dividerdpayiriRstock.
ThecaculationofFCFEstartswiththecalculationofcashflowfromoperations(CFO).CFOissimplydefined
asnetincomeplusnon-cashexpensesminusinvestmentirworkingcapital.FCFEisameasureofcashflow
generatedinaperiodthatisavailablefordistributiontocommonshareholders.Whatdoesuavailablefor
distributionMmean?TheentireCFOisnotavailablefordistribution;theportionoftheCFOneededfor
fixedcapitalinvestment(FCInv)duringtheperiodtomaintainthevalueofthecompanyasagoingconcern
isnotviewedasavailablefordistributiontocommonshareholders.Netamountsborrowed(borrowings
minusrepayments)areconsideredtobeavailablefordistributiontocommonshareholders.Thus,FCFEcan
beexpressedas
FCFE=CFO-FCInv+Netborrowing
TheinformationneededtocalculatehistoricalFCFEisavailablefromacompany?sstatementofcash
flowsandfinancialdisclosures.Frequently,undertheassumptionthatmanagementisactingintheinterest
ofmaintainingthevalueofthecompanyasagoingconcern,reportedcapitalexpenditureistakento
representFCInv.AnalystsmustmakeprojectionsoffinancialstoforecastfutureFCFE.Valuationobtainedby
usingFCFEinvolvesdiscountingexpectedfutureFCFEbytherequiredrateofreturnonequity;the
expressionparallelsEquation1:
00
%=zFCFE,
/=10+1
8
Aninvestorexpectstopurchasesharesofcommonstocktodayandsellthemaftertwoyears.Theinvestor
hasestimateddividendsforthenexttwoyears,DIandD2,andthesellingpriceofthestocktwoyearsfrom
now,P2.Accordingtothedividenddiscountmodel,theintrinsicvalueofthestocktodayisthepresent
valueof:
Anextyearzsdividend,DI.
Bfutureexpecteddividends,DIandD2.
Cfutureexpecteddividendsandprice—DI,D2andP2.
SOLUTIONS:
8Ciscorrect.Accordingtothedividenddiscountmodel,theintrinsicvalueofastocktodayisthepresent
valueofallfuturedividends.Inthiscase,theintrinsicvalueisthepresentvalueofDI,D2,andP2.Note
thatP2isthepresentvalueatPeriod2ofallfuturedividendsfromPeriod3toinfinity.
9
Inthefreecashflowtoequity(FCFE)model,theintrinsicvalueofashareofstockiscalculatedas:
AthepresentvalueoffutureexpectedFCFE.
BthepresentvalueoffutureexpectedFCFEplusnetborrowing.
CthepresentvalueoffutureexpectedFCFEminusfixedcapitalinvestment.
SOLUTIONS:
9Aiscorrect.IntheFCFEmodel,theintrinsicvalueofstockiscalculatedbydiscountingexpectedfuture
FCFEtopresentvalue.Nofurtheradjustmentsarerequired.
10
Withrespecttopresentvaluemodels,whichofthefollowingstatementsismostaccurate?
APresentvaluemodelscanbeusedonlyifastockpaysadividend.
BPresentvaluemodelscanbeusedonlyifastockpaysadividendorisexpectedtopayadividend.
CPresentvaluemodelscanbeusedforstocksthatcurrentlypayadividend,areexpectedtopayadividend,
orarenotexpectedtopayadividend.
SOLUTIONS:
10Ciscorrect.Dividenddiscountmodelscanbeusedforastockthatpaysacurrentdividendorastock
thatisexpectedtopayadividend.FCFEcanbeusedforbothofthosestocksandforstocksthatdonot,or
arenotexpectedto,paydividendsinthenearfuture.Bothofthesemodelsareformsofpresentvalue
models.
11
ACanadianlifeinsurancecompanyhasanissueof4.80percent,$25parvalue,perpetual,non-convertible,
non-callablepreferredsharesoutstanding.Therequiredrateofreturnonsimilarissuesis4.49percent.The
intrinsicvalueofapreferredshareisclosestto:
A$25.00.
B$26.75.
C$28.50.
SOLUTIONS:
11Biscorrect.Theexpectedannualdividendis4.80%x$25=$1.20.Thevalueofapreferredshareis
$1.20/0.0449=$26.73.
12
Twoanalystsestimatingthevalueofanon-convertible,non-callable,perpetualpreferredstockwitha
constantdividendarriveatdifferentestimatedvalues.Themostlikelyreasonforthedifferenceisthatthe
analystsuseddifferent:
Atimehorizons.
Brequiredratesofreturn.
Cestimateddividendgrowthrates.
SOLUTIONS:
12Biscorrect.Therequiredrateofreturn,r,canvarywidelydependingontheinputsandisnotunique.A
preferredstockwithaconstantdividendwouldnothaveagrowthratetoestimate,andtheinvestor/stime
horizonwouldhavenoeffectonthecalculationofintrinsicvalue.
13
TheBeasleyCorporationhasjustpaidadividendof$1.75pershare.Iftherequiredrateofreturnis12.3
percentperyearanddividendsareexpectedtogrowindefinitelyataconstantrateof9.2percentperyear;
theintrinsicvalueofBeasleyCorporationstockisclosestto:
A$15.54.
B$56.45.
C$61.65.
SOLUTIONS:
13Ciscorrect.PO=Dl/(r-g)=1.75(1.092)/(0.123-0.092)=$61.65.
-----------------筆記-----------------
FromEquity-Reading38-P375
TheGordon(constant)growthmodel(Gordon,1962)isasimpleandwell-recognizedDDM.Themodel
assumesdividendsgrowindefinitelyataconstantrate.
Becauseofitsassumptionofaconstantgrowthrate,theGordongrowthmodelisparticularlyappropriate
forvaluingtheequityofdividend-payingcompaniesthatarerelativelyinsensitivetothebusinesscycleand
inamaturegrowthphase.
上《仇Ji,)/
Kn=)*-----:-=%3----r+------r+...+----------
t=\(1+r)(1+1)(1+r)(1+廣廣
Ifrequiredreturnrisassumedtobestrictlygreaterthangrowthrateg,thenthesquare-bracketedtermin
Equation8isaninfinitegeometricseriesandsumsto[(1+g)/(r-g)].SubstitutingintoEquation8produces
theGordongrowthmodelaspresentedinEquation.
%-o(l+g)=I
f-gf-S
TheGordongrowthmodelestimatesintrinsicvalueasthepresentvalueofagrowingperpetuity.Ifthe
growthrate,g,isassumedtobezero,Equation8reducestotheexpressionforthepresentvalueofa
perpetuity.
Inestimatingalong-termgrowthrate,analystsuseavarietyofmethods,includingassessingthegrowthin
dividendsorearningsovertime,usingtheindustrymediangrowthrate,andusingtherelationshipshown
inEqudlion10LueslirridlethesusEIdinablegrowthrale:
g=bxROE(10)
where
g=dividendgrowthrate
b=earningsretentionrate=(1-Dividendpayoutratio)
ROE=returnonequity
TheGordongrowthmodelestimateofintrinsicvalueisextremelysensitivetothechoiceofrequiredrateof
returnrandgrowthrateg.Notethatnovalueisshownwhenthegrowthrateexceedstherequiredrate
ofreturn.TheGordongrowthmodelassumesthatthegrowthratecannotbegreaterthantherequiredrate
ofreturn.
TheassumptionsoftheGordonmodelareasfollows:
/Dividendsarethecorrectmetrictouseforvaluationpurposes.
/Thedividendgrowthrateisforever:Itisperpetualandneverchanges.
/Therequiredrateofreturnisalsoconstantovertime.
/Thedividendgrowthrateisstrictlylessthantherequiredrateofreturn.
ApplyingaDDMisdifficultifthecompanybeinganalyzedisnotcurrentlypayingadividend.
14
Aninvestorisconsideringthepurchaseofacommonstockwitha$2.00annualdividend.Thedividendis
expectedtogrowatarateof4percentannually.Iftheinvestor'srequiredrateofreturnis7percent,the
intrinsicVAIUPofthestockisclosesttn:
A$50.00.
B$66.67.
C$69.33.
SOLUTIONS:
14Ciscorrect.AccordingtotheGordongrowthmodel,V0=Dl/(r-g).Inthiscase,DI=$2.00x1.04=
$2.08,soV0=$2.0%(0.07-0.04)=$69.3333=$6933.
15
Ananalystgathersorestimatesthefollowinginformationaboutastock:
Currentpricepershare€22.56
Currentannualdividendpershare€1.60
AnnualdividendgrowthrateforYears1-49.00%
AnnualdividendgrowthrateforYears5+4.00%
Requiredrateofreturn12%
Basedonadividenddiscountmodel,thestockismostlikely:
Aundervalued.
Bfairlyvalued.
Covervalued.
SOLUTIONS:
15Aiscorrect.Thecurrentpriceof€22.56islessthantheintrinsicvalue(VO)of€24.64;therefore,the
stockappearstobecurrentlyundervalued.Accordingtothetwo-stagedividenddiscountmodel:
=甘業(yè)&L_^and—
?
占(l+r/(1+rfgL
Dj=€1.60x1.09=€1.744
2
D2=€1.60x(1.09)=€1.901
。3=€1.60x(1.09)3=€2.072
4
D4=€1.60x(1.09)=€2.259
4
D5=[€1.60x(1.09)](1.04)=€2.349
V4=€2.349/(0.12-0.04)=€29.363
、
r1.7441.9012.0722.25929.363
(1.12)1(1.12)2(1.12)3(1.12)4(1.12)4
=1.557+1.515+1.475+1.436+18.661
=€24.64(whichisgreaterthanthecurrentpriceof€22.56)
-----------------筆記-----------------
FromEquity-Reading38-P380
Multistagegrowthmodelsareoftenusedtomodelrapidlygrowingcompanies.Thetwo-stageDDM
assumesthatatsomepointthecompanywillbegintopaydividendsthatgrowataconstantrate,butprior
tothattimethecompanywillpaydividendsthataregrowingatahigherratethancanbesustainedinthe
longrun.Thatis,thecompanyisassumedtoexperienceaninitial,finiteperiodofhighgrowth,perhaps
priortotheentryofcompetitors,followedbyaninfiniteperiodofsustainablegrowth.
Thetwo-stageDDMthusmakesuseoftwogrowthrates:ahighgrowthrateforaninitial,finiteperiod
followedbyalower,sustainablegrowthrateintoperpetuity.TheGordongrowthmodelisusedtoestimate
aterminalvalueattimenthatreflectsthepresentvalueattimenofthedividendsreceivedduringthe
sustainablegrowthperiod.
Equation11willbeusedhereasthestartingpointforatwo-stagevaluationmodel.Thetwo-stage
valuationmodelissimilartoExample8exceptthatinsteadofassumingzerodividendsfortheinitialperiod,
theanalystassumesthatdividendswillexhibitahighrateofgrowthduringtheinitialperiod.Equation11
valuesthedividendsovertheshort-termperiodofhighgrowthandtheterminalvalueattheendofthe
periodofhighgrowth.Theshort-termgrowthrate,gS,lastsfornyears.Theintrinsicvaluepershareinyear
n,Vn,representstheyearnvalueofthedividendsreceivedduringthesustainablegrowthperiodorthe
terminalvalueattimen.VncanbeestimatedbyusingtheGordongrowthmodelasshowninEquation12,
wheregListhelong-termorsustainablegrowthrate.Thedividendinyearn+1,Dn+1,canbedetermined
byusingEquation13:
及A(l+gs)\匕,
(11)
r=l(1+r)1(1+廠)”
(12)
4+1=A(l+gS『(l+gL)(13)
TheDDMcanbeextendedtoasmanystagesasdeemedappropriate.Formostpubliclytradedcompanies
(thatis,cnmpanipsbpynndthpstart-upstage),practitinnpnassumegrowthwillultimafplyfallintothrpp
stages:1)growth,2)transition,and3)maturity.Thisassumptionsupportstheuseofathree-stageDDM,
whichmakesuseofthreegrowthrates:ahighgrowthrateforaninitialfiniteperiod,followedbyalower
growthrateforafinitesecondperiod,followedbyalower,sustainablegrowthrateintoperpetuity.
Onecanmakethecasethatathree-stageDDMwouldbemostappropriateforafairlyyoungcompany,one
thatisjustenteringthegrowthphase.Thetwo-stageDDMwouldbeappropriatetoestimatethevalueof
anoldercompanythathasalreadymovedthroughitsgrowthphaseandiscurrentlyinthetransitionphase
(aperiodwithahighergrowthratethanthesustainablegrowthrate)priortomovingtothematurityphase
(theperiodwithalower,sustainablegrowthrate).
16
AnanalystisattemptingtovaluesharesoftheDominionCompany.Thecompanyhasjustpaidadividend
of$0.58pershare.Dividendsareexpectedtogrowby20percentnextyearand15percenttheyearafter
that.Fromthethirdyearonward,dividendsareexpectedtogrowat5.6percentperyearindefinitely.Ifthe
requiredrateofreturnis8.3percent,theintrinsicvalueofthestockisclosestto:
A$26.00.
B$27.00.
C$28.00.
SOLUTIONS:
16Ciscorrect.
Q+D2+B
%=
(1+廣)(1+r)2(1+r)2
0.700.8031.29
7-------7+----------T+----------7
(1.083)(1.083)(1.083)
=$28.01
NotethatDI=0.58(1.20)=0.70,D2=0.58(1.20)(1.15)=0.80,andP2=D夕(k-g)=0.80(1.056)/(0.083-
0.056)=31.29
17
HidekiCorporationhasjustpaidadividendnf¥450pprsharp.Annualdividendsarepxppctpdtogrowat
therateof4percentperyearoverthenextfouryears.Attheendoffouryears,sharesofHideki
Corporationareexpectedtosellfor¥9000.Iftherequiredrateofreturnis12percent,theintrinsicvalueof
ashareofHidekiCorporationisclosestto:
A¥5,850.
B¥7,220.
C¥7,670.
SOLUTIONS:
17Biscorrect.
=Q+4+++,
(1+4(1+z-)2(1+r)3(1+r)4(1+r)4
468486.72506.19526.449000
=-------+--------+--------+--------+--------
(L12)(1.12)2(1.12)3(1.12)4(1.12)4
=¥7,220
18
TheGordongrowthmodelcanbeusedtovaluedividend-payingcompaniesthatare:
Aexpectedtogrowveryfast.
Binamaturephaseofgrowth.
Cverysensitivetothebusinesscycle.
SOLUTIONS:
18Biscorrect.TheGordongrowthmodel(alsoknownastheconstantgrowthmodel)canbeusedtovalue
dividend-payingcompaniesinamaturephaseofgrowth.Astabledividendgrowthrateisoftenaplausible
assumptionforsuchcompanies.
19
Thebestmodeltousewhenvaluingayoungdividend-payingcompanythatisjustenteringthegrowth
phaseismostlikelythe:
AGordongrowthmodel.
Btwo-stagedividenddiscountmodel.
Cthree-stagedividenddiscountmodel.
SOLUTIONS:
19Ciscorrect.TheGordongrowthmodelisbestsuitedtovaluingmaturecompanies.Thetwo-stagemodel
isbestforcompaniesthataretransitioningfromagrowthstagetoamaturestage.Thethree-stagemodelis
appropriateforyoungcompaniesjustenteringthegrowthphase.
20
AnequityanalysthasbeenaskedtoestimatetheintrinsicvalueofthecommonstockofOmega
Corporation,aleadingmanufacturerofautomobileseats.Omegaisinamatureindustry,andbothits
earningsanddividendsareexpectedtogrowatarateof3percentannually.Whichofthefollowingismost
likelyI。bethebestmodelfordeterminingIheintrinsicvalueofanOmegashare?
AGordongrowthmodel.
BFreecashflowtoequitymodel.
CMultistagedividenddiscountmodel.
SOLUTIONS:
20Aiscorrect.Thecompanyisamaturecompanywithasteadilygrowingdividendrate.Thetwo-stage(or
multistage)modelisunnecessarybecausethedividendgrowthrateisexpectedtoremainstable.Although
anFCFEmodelcouldbeused,thatmodelismoreoftenchosenforcompaniesthatcurrentlypayno
dividends.
21
ApriceearningsratiothatisderivedfromtheGordongrowthmodelisinverselyrelatedtothe:
Agrowthrate.
Bdividendpayoutratio.
Crequiredrateofreturn.
SOLUTIONS:
21Ciscorrect.ThejustifiedforwardP/Eiscalculatedasfollows:
島
Eir-g
P/Eisinverselyrelatedtotherequiredrateofreturn,r,anddirectlyrelatedtothegrowthrate,g,andthe
dividendpayoutratio,D/E.
-----------------筆記-----------------
FromEquityRcading38P386
Pricemultiplesarefrequentlyusedindependentlyofpresentvaluemodels.Onepricemultiplevaluation
approcch,themethodofcomparables,doesnotinvolvecashflowforecastsordiscountingtopresentvalue.
Apricemultipleisoftenrelatedtofunda0mentalsthroughadiscountedcashflowmodel.
Theexpressionsthataredevelopedcanbeinterpretedasthejustifiedvalueofamultiple—thatis,the
valuejustifiedby(basedon)fundamentalsorasetofcashflowpredictions.Theseexpressionsarean
dllernalivewayofpresentinginlrinsic-vdlueeslimdles.
Asanexample,usingtheGordongrowthmodelidentifiedpreviouslyinEquation9andassumingthatprice
equalsintrinsicvalue(PO=VO),wecanrestateEquation9asfollows.
pQ
一g
ToarriveatthemodelforthejustifiedforwardP/EgiveninEquation14,wedividebothsidesofEquation
byaforecasttornextyear'searnings,El.InEquation,thedividendpayoutratio,p,istheratiootdividends
toearnings:
.=4/—=P
Eir-gr-g
EquationindicatesthattheP/Eisinverselyrelatedtotherequiredrateofreturnandpositivelyrelatedto
thegrowthrate;thatis,astherequiredrateofreturnincreases,theP/Edeclines,andasthegrowthrate
increases,theP/Eincreases.
22
TheprimarydifferencebetweenP/EmultiplesbasedoncomparablesandP/Emultiplesbasedon
fundamentalsisthatfundamentals-basedP/Estakeintoaccount:
Afutureexpectations.
Bthelawofoneprice.
Chistoricalinformation.
SOLUTIONS:
22Aiscorrect.Multiplesbasedoncomparablesaregroundedinthelawofonepriceandtakeintoaccount
historicalmultiplevalues.Incontrast,P/EmultiplesbasedonfundamentalscanbebasedontheGordon
growthmodel,whichtakesintoaccountfutureexpecteddividends.
-----------------筆記-----------------
FromEquity-Reading38-P389
Themethodofcomparablesisthemostwidelyusedapproachforanalystsreportingvaluationjudgments
onthebasisofpricemultiples.Thismethodessentiallycom團(tuán)paresrelativevaluesestimatedusing
multipesortherelativevaluesofmultiples.Theeconomicrationaleunderlyingthemethodofcomparables
isthelawofoneprice:Identicalassetsshouldsellforthesameprice.Themethodologyinvolvesusinga
pricemultipletoevaluatewhetheranassetisfairlyvalued,undervalued,orovervaluedinrelationtoa
benchmarkvalueofthemultiple.Choicesforthebenchmarkmultipleincludethemultipleofaclosely
matchedindividualstockortheaverageormedianvalueofthemultipleforthestock'sindustry.Some
analystsperformtrendortime回seriesanalysesandusepastoraveragevaluesofapricemultipleasa
benchmark.
23
Ananalystmakesthefollowingstatement:"UseofP/Eandothermultiplesforanalysisisnoteffective
becausethemultiplesarebasedonhistoricaldataandbecausenotallcompanieshavepositiveaccounting
earnings/Theanalyst'sstatementismostlikely:
Ainaccuratewithrespecttobothhistoricaldataandearnings.
Baccuratewithrespecttohistoricaldataandinaccuratewithrespecttoearnings.
Cinaccuratewithrespecttohistoricaldataandaccuratewithrespecttoearnings.
SOLUTIONS:
23Aiscorrect.Thestatementisinaccurateinbothrespects.Althoughmultiplescanbecalculatedfrom
historicaldata,forecastedvaluescanbeusedaswell.Forcompanieswithoutaccountingearnings,several
othermultiplescanbeused.Thesemultiplesareoftenspecifictoacompany'sindustryorsectorand
includeprice-to-salesandprice-to-cashflow.
24
Ananalysthaspreparedatableoftheaveragetrailingtwelve-monthprice-toearning(P/E),price-to-cash
flow(P/CF),andprice-to-sales(P/S)fortheTanakaCorporationfortheyears2014to2017.
YearP/EP/CFP/S
20144.95.41.2
20156.18.61.5
20168.37.31.9
20179.27.92.3
Asofthedateofthevaluationin2018,thetrailingtwelve-monthP/E,P/CF,andP/Sare,respectively,9.2,
8.0,and2.5.Basedontheinformationprovided,theanalystmayreasonablyconcludethatTanakashares
aremostlikely:
Aovervalued.
Bundervalued.
Cfairlyvalued.
SOLUTIONS:
24Aiscorrect.Tanakasharesaremostlikelyovervalued.Asthetablebelowshows,allthe2018multiples
arecurrentlyabovetheir2014-2017averages.
YearP/EP/CFP/R
20144.95.41.2
20156.18.61.5
20168.37.31.9
20179.27.92.3
Average7.17.31.7
25
AnanalysthasgatheredthefollowinginformationfortheOudinCorporation:
Expectedearningspershare=€5.70
Expecteddividendspershare=€2.70
Dividendsarpexpectedtogrowat?.75pprcpntppryearindefinitely
Therequiredrateofreturnis8.35percent
Basedontheinformationprovided,theprice/earningsmultipleforOudinis
closestto:
A5.7.
B8.5.
C9.4.
SOLUTIONS:
25Biscorrect.
D\2.7
%=El==85
Ex~r-g~0.0835-0.0275-'
26
Ananalystgathersthefollowinginformationabouttwocompanies:
AlphaCorp.DeltaCo.
Currentpricepershare$57.32$18.93
LastyearsEPS$3.82$1.35
Currentyear^estimatedEPS$4.75$1.40
Whichofthefollowingstatementsismostaccurate?
ADeltahasthehighertrailingP/EmultipleandlowercurrentestimatedP/Emultiple.
BAlphahast
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