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5.TimeValueofMoney&Valuation貨幣時間價值與估價contents5.1CentralConceptsinFinancialManagement5.2Simplevs.CompoundInterestRatesandFuturevs.PresentValue5.3Annuity5.4ValuationFundamentals5.5BondValuation5.6CommonStockValuationPage
25.1CentralConceptsRisk-returntradeoff:Investorswilltakeonadditionalriskonlyiftheyanticipatehighreturn.Timevalueofmoney:Adollaravailabletodayisworthmorethanadollaravailableatafuturedate.Thisisbecauseadollartodaycanbeinvestedtoearnareturn.Page
3Abirdinthehandisworthtwointhebush.5.2.1SimpleinterestInterestthatisnotaddedtotheprincipalorcapitalincalculatingsubsequentinterestpaymentsisreferredtoassimpleinterest.Underthesimpleinterestarrangment,theamountofinterestpaiddoesnotvaryandisbasedontheinitialcashflowinvolved.Page
45.2.1SimpleinterestPage
55.2.2CompoundinterestCompoundinginvolvescalculatinginterestnotonlyontheprincipalbutalsoontheinterestearnedtodateonthatprincipal,assumingthattheinterestisreinvested.Page
65.2.2CompoundinterestTheso-calledcompoundingeffectthereforetendstoincreasetheamountofinterestpaid(charged)astheprincipalincreasesduetotheadditionofpreviousinterestpayments(charges).Page
75.2.2CompoundinterestMostcreditcardholdersareacutelyawareoftheimplicationsofmissinganinterestpaymentasthisamountisthenaddedtotheoutstandingbalancetocalculatetheamendedamountowing!Page
85.2.2CompoundinterestPage
95.2.4PresentValueTheinterestrateusedtocomputethepresentvalueiscalledthediscountrate,butmayalsobereferredtoastheopportunitycost,requiredrateofreturn,andthecostofcapital.Page
105.3AnnuityThesizeofthecashflowfromthesecurityisidenticalineachperiod;Thetimingofthecashflowsisuniform,i.e.,thecashflowsoccuratthesameperiodicinterval.Page
115.3AnnuityBondssatisfybothcriteriaastheypayasetcouponratebasedontheinitialprincipalinvestedatuniformperiodsintime.Page
125.3AnnuityOrdinaryannuity——thefirstcashflowintheseriesisoneperiodfromtoday.Thisisthemostcommonformofannuity.Annuitydue——thefirstcashflowintheseriesoccursatthebeginningofeachperiod.Deferredannuity——thefirstcashflowintheseriesoccursbeyondoneperiodfromtoday.Perpetuity——theseriesofpaymentscontinuesindefinitely.Page
135.3.1OrdinaryannuityPage
145.3.1OrdinaryannuityThisisconsistentwiththeviewthatfuturevaluesmustbediscountedwhenscaledbacktopresenttime,whereaspresentornearpresentvaluemustbemagnifiedtocorrectlyequatewithfuturevalue.Page
155.3.2AnnuitydueThedistinguishingfactorwithanannuitydueisthefactthatthefirstcashflowoccursonthevaluationdate,i.e.,immediately.Therefore,thecorrectadjustmentforanannuitydueistoreducethediscountingfactorbyoneandtoaddtothereducedcalculationanon-discountedcashflowstream.Page
165.3.2AnnuitydueFVADn=A(FVIFAi,n)(1+i)PVADn=A(PVIFAi,n-1)+A=A(PVIFAi,n)(1+i)Page
17Two-stagediscountingmethodEssentially,theperiodicpaymentsarediscountedbacktothefirstperiodpriortothebeginningofthecashflowstream.Thisvalueisthendiscountedbacktotime0.Page
185.3.3Deferredannuity5.3.4PerpetuityPage
195.3.5EffectiveinterestratesWhenpaymentsaremademoreorlessfrequentlythantheinterestiscompounded,thismisspecificationcanberesolvedbymatchingthepaymentperiodwiththecompoundingperiod.Page
20Nominalinterestrate
Arateofinterestquotedforayearthathasnotbeenadjustedforfrequencyofcompounding.EffectiveinterestrateTheeffective(annual)interestrateiscalculatedtodetermineaneffectiverate(usuallyannual)fromaratewithmultiplecompoundingperiods.Page
21Theeffectiverateofaninvestmentwillalwaysbehigherthanthenominalorstatedinterestratewheninterestiscompoundedmorethanonceperyear.Asthenumberofcompoundingperiodsincreases,thedifferencebetweenthenominalandeffectiverateswillalsoincrease.當(dāng)利息而每年復(fù)合超過一次,實際利率的投資總是高于名義或者規(guī)定利率。隨著數(shù)量的增加,復(fù)合時期之間的差異和實際利率名義也會增加。Page
22舉例Forexample,ifasavingsplanofferedanominalinterestrateof8percentcompoundedquarterly/semiannuallyonaone-yearinvestment,theeffectiveannualinterestratewouldbe:Page
23EffectiveinterestratePage
24舉例(1+0.08/4)4-1=(1+0.02)4-1=0.08243(quarterly)(1+0.08/2)2-1=(1+0.04)2-1=0.0816(semiannually)Page
25Theeffectiverateofaninvestmentwillalwaysbehigherthanthenominalorstatedinterestratewheninterestiscompoundedmorethanonceperyear.5.4ValuationFundamentalsGoing-concernvalueLiquidationvalueBookvalueMarketvalueIntrinsicvaluePage
26Going-concernvalue—持續(xù)經(jīng)營價值Thistypeofvaluedependsonthefirm’sabilitytogeneratefuturecash
flowsratherthanonitsbalancesheetassets.Page
27Liquidationvalue—清算價值Liquidationvaluepershareistheactualamountpershareofcommonstockthatstockholderswouldreceiveifthefirmsellallassets,paysallitsliabilitiesincludingpreferredstock,anddividesanyremainingmoneyamongthem.Page
28Bookvalue—賬面價值Bookvaluepershareofcommonstockistheshareholders’equity-totalassetslessliabilitiesandpreferredstockaslistedonthebalancesheet-dividedbythenumberofsharesoutstanding.Page
29BookvalueThebookvalueofanassetistheaccountingvalueoftheasset-theasset’scostminusitsaccumulateddepreciation.Page
30MarketValueMarketvalueisthepricethattheownercanreceivefromsellinganassetinthemarketplace.Thekeydeterminantvalueisthesupplyanddemandfortheasset.Page
31intrinsicvalueIntrinsicvalue,alsocalledfundamentalvalue,isameasureofthetheoreticalvalueofanasset.Becausedetermingtheintrinsicvaluerequiresestimates,wemayneverknowthe“actual”or“true”intrinsicvalueofsomefinancialassets.Page
325.4.6ValuationapproachesDiscountedcashflow(DCF)valuationRelativevaluationContingentclaimvaluation或有要求權(quán)估價Page
335.4.7DiscountedCashFlowValuationPage
345.5BondValuationAbondisacontractorapromissorynoteissuedbyacorporationorgovernmentpromisingtopaytheownerofthebondapredeterminedamountofinteresteachyear.Page
35Page
36Bondvaluation
Whocangetbenefitfromfollowingpolicy?CallprovisionsSinkingfundprovisionsConversionrightsPutprovisionsIndentureTrusteeCollateralBondrating①ParvalueFeelbelowpar感覺不好Beuptopar達(dá)到一般水平Parvalue~facevaluematurityvaluenominalvalueprincipalPage
37①ParvalueThepriceofabondmayriseaboveorfallbelowitsparvalueduetodifferencesbetweenitscouponrateandprevailingmarketinterestrates.Page
38②CouponandCouponrateCouponpaymentistheperiodicinterestpaymentwhichisequaltothecouponinterestrateasapercentratemultipliedbythematurityorparvalueofthebond.Thecouponinterestrate,alsocalledthenominalyield(名義收益率),facevalue,isthecontractualrateofinterestbasedonabond’sparvalue.Page
39③MaturityTermtomaturityorsimplymaturityofabondisthelengthoftimeuntiltheagreement
expires(期滿).Page
40④Callprovisions—贖回條款Withacallfeature,theissuermaydecidetoretirebondstotakeadvantageoflowinterestrates,togetridofrestrictiveindentureprovisions,ortoreduceindebtedness(債務(wù)).Acallpremiumisanadditionalamountthattheissueragreestopayabovethebond’sparvaluetorepurchasethebond.Page
41⑤SinkingFundProvisions—償債基金條款A(yù)sinkingfundprovisionpermitstheissuertoretireabondthroughaseriesofpredefinedprincipalpaymentsoverthelifeoftheissue.Page
42⑥Conversionrights—轉(zhuǎn)換權(quán)Suchbondsarecalledconvertibledebtbecausetheyofferthebondholderachanceforcapitalgainsinexchangeforlowercouponpayments.Page
43⑦PutProvision—賣出條款Somebondshaveaputprovision,whichgivesthebondholdertherighttosellthebondstockbacktotheissuerattheputpriceoncertaindatesbeforematurity.Page
44⑧Indenture—債務(wù)契約Negativecovenants:payingtoomuchdividendspledgingassetstootherlenderssellingmajorassetsmergingwithanotherfirmaddingmorelong-termdebtPage
45⑧Indenture—債務(wù)契約Affirmative/Positivecovenants:maintainingcertainratioskeepingcollateralingoodconditionmakingtimelypaymentsofinterestandprincipalPage
46⑨Trustee:托管人Atrusteeisthebondholders’agent,typicallyabank,inapublicdebtoffering.Iftheborrowerviolatestheterms,thetrusteeinitiatesactionagainsttheissuerandrepresentsthebondholdersinthisaction.Page
47⑩Collateral:擔(dān)保品Secureddebt:有擔(dān)保債務(wù)
Mortgagebonds(住房)抵押債券Collateraltrustbonds(證券)擔(dān)保信托債券Asset-backedsecurities(ABS)Page
48⑩
Collateral:擔(dān)保品Unsecureddebt:無擔(dān)保債務(wù)Debentures信用債券Subordinateddebentures次級信用債券IncomebondsJunkBondsPage
49⑾Bondrating:債券評級MajorratingservicesincludeStandard&Poor’sCorporation(S&P),Moody’sInvestorsService,Inc.(Moody’s)andFitchInvestorServices.Page
505.5.2TheBondValuationFormulaPage
515.5.3BondPricesandReturnsCurrentYield:現(xiàn)行收益率YieldtoMaturity:到期收益率return-to-maturity(RTM)
internalrateofreturn(IRR)Page
52YieldtoMaturityPage
535.6CommonStockValuationCommonstockcharacteristicsandfeaturesCommonstockvaluationPage
545.6CommonStockValuationCommonstockholders:ResidualownersBeartheultimaterisksandrealizetherewardsofownershipHavelimitedliabilityPage
55ParorNoparStockForcommonstock,parvalueisthestatedvalueattachedtoasingleshareatissuance.Ifacompanysellsstockformorethanitsparvalue,itrecordsanyissuepriceinexcessofparasadditionalpaid-incapitalorcapitalinexcessofpar.Page
56SupposethatFawltyPacemakers,Inc.,isreadytostartbusinessforthefirsttimeafterjusthavingsold10,000sharesof$5-par-valuecommonstockat$45ashare.Theshareholders’equityportionofthebalancesheetwouldbe:Commonstock($5parvalue;10,000sharesissuedandoutstanding)$50,000Additionalpaid-incapital400,000Totalshareholders’equity$450,000ParorNoparStockIfacompanysellsstockforlessthanitsparvalue,anydiscountfromparrepresentsalegalliabilityoftheownerstothecreditingintheeventofliquidation.Theissuercarriesnoparstockonitsbooksattheoriginalmarketpriceoratsomeassignedorstatedvalue,whichisusuallybelowtheactualissuingprice.Page
59Authorized,issued,outstanding,andtreasuryThecharter(章程)
ofacorporationspecifiestheauthorizedsharesofcommonstock,whicharemaximumnumberofsharesthatthecorporationmayissuewithoutamendingitscharter.Page
60Authorized,issued,outstanding,andtreasuryOutstandingsharesrefertothenumberofsharesissuedandactuallyheldbythepublic.Thefirmbasesitsearningspershareanddividendspershareontheoutstandingshares.Page
61CharacteristicandfeaturesRighttovoteRighttoincomeRighttoResidualassetsRighttotransferownershipOtherrights~preemptiveright優(yōu)先購股權(quán)Page
62RighttoVoteAvoiceinmanagementAmendingthecorporatecharterandbylawsSelectingthefirm’sindependentauditorsChangingtheamountofauthorizedsharesApprovingtheissuanceofsecuritiesProxytheirvotetoothersPage
63Priortotheannualmeeting,managementsolicitsproxiesfromshareholderstovote
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