清华大学经管学院--金融工程1.pptx
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INTRODUCTIONTOFINANCIALENGINEERING,FredSongSeptember2001,1,Introductory,WhatisFinance?
WhatisFinancialEngineering?
WhatstheroleofFinancialEngineeringinNewEconomy?
Neweconomy,Financialengineeringande-commerce,2,WhatisFinance?
Money&BankingMonetaryEconomics,InternationalFinanceInternationalEconomics,3,CorporateFinance,CapitalMarket(Investments),FinancialEconomics,MultinationalCorporateFinance,InternationalFinancialMarket,FinancialEngineering,4,WhatisFinancialEngineering?
Generalizing:
FinancialEngineeringinvolvesthedesign,thedevelopment,andtheimplementationofinnovativefinancialinstrumentsandprocesses,andtheformulationofcreativesolutionstoproblemsinfinance.Specializing:
FinancialEngineeringisriskmanagementviacreativestructuraltools.,5,FINANCE,I.T.,ENGINEERING,F.E.,6,CHAPTERONE:
MMTheoryandNoArbitrage,MMTheory,TwomeasurementsofvalueAccounting:
bookvaluehistoriccost,Finance:
marketvaluenetpresentvalue,7,Assets=Liabilities+Equity,AccountingEquality:
duelentitysystemBookvaluemeasurement,Funduse,Fundsource,FinanceEquality:
Funduse=FundsourceMarketvaluemeasurement,8,CorporateFinanceAssetsLiabilitiesandEquityAsset1Asset2LiabilitiesAsset3.Equity.AssetnTotalAssetsTotalLiabilitiesandEquity,Accounting:
Yes!
Finance:
No!
CapitalMarket,RealEconomy,NPV,FirmValue,+NPV,9,LiabilitiesValueEquityValue,LiabilitiesValueAssetsValue,CapitalStructure,Financialleverage:
or,Hasachangeoffinancialleverageanyimpactonthefirmvalue?
10,M&MTheory,M&Massumptions:
FrictionlessassumptionsNoincometaxesNotransactioncostsNoinformationasymmetryNocosttoresolveinterestconflictsamongstakeholdersAllliabilitiesarerisk-free,11,Notes:
Amini-case,TwocompaniesEBITCapitalstructureFirmvalue,$10millionp.a,bonds:
$40million,8%shares:
600,000,Asshareprice:
$100pershare,expectedreturn:
10%,1millionshares$100million,B,?
A,Bsbond:
risk-freethesharenumberissupposedshareexpectedreturn:
?
12,(Risk-free),No,PositionImmediateCashFlowCashFlowintheFuture,ReplicationofAsStockUsingBsStockandBonds,BsTotalPayments=BsNetEarnings+InterestPayments,=(EBIT-$3.2million)+$3.2million=EBIT,SupposepriceofBsstock=$90pershare,Shortsell1%Assharesat$100pershare,Buy1%Bssharesat$90pershare,Buy1%Bsbonds,+$1,000,000,1%ofEBIT,$540,000,1%(EBIT$3,200,000),$400,000,1%$3,200,000,NetCashFlow,$60,000,0,Arbitrage,PriceofBsstock=$100pershare,13,M&MProposition1,Proposition1:
UnderM&MAssumption,i.e.,inthefrictionlessenvironment,thetotalmarketvalueofafirmisindependentofitscapitalstructure.,Thinkofthefirmasagiganticpizza,dividedintoquarters.Ifnow,youcuteachquarterinhalfintoeights,theM&Mpropositionsaysthatyouwillhavemorepieces,butnotmorepizza.,MertonMiler,14,ProbabilityDistributionofEBITandEPSfortheTwoCompanies,StateoftheEconomy,EBIT,CompanyACompanyBEPSNetEPS(1millionshares)Earnings(600,000shares),Badbusiness$5million$5$1.8million$3.00Normalbusiness10106.811.33Goodbusiness151511.819.67Mean10106.811.33Standarddeviation46.81Beta1.01.01.67NOTE:
Eachstateoftheeconomyisequallylikely.,15,Thecostofcapitaldependsonitsuseandnotonitssource.,Proposition!
16,WeightedAverageCostofCapital,Costofcapitalofthefirmwithoutliability,RiskpremiumofWACC,Financialleverage,M&MProposition2:
ThecostofcapitalofafirmequalsthecostofcapitalofthefirmwithoutliabilityandtheriskpremiumofWACCmultipliedbyfinancialleverage.,17,AlltransactionsinfinancialmarketsarezeroNPVtransactionactivities.,Proposition!
18,ImplicationofM&MTheory,Frictionlessenvironmentdoesnotexistintherealworld.TaxesTransactioncostsInformationasymmetryCostsresolvinginterestconflictLiabilitiesarerisk-bearing,19,TaxShield,CompanyA:
Taxrate:
T=33%,CompanyACompanyB,Claimant,CreditorsShareholdersGovernmentTaxAuthority,TotalFirmValuebeforeTaxation,$100million$100million,0,67million,33million,CompanyB:
(1T)(EBITInterests)+Interests=(1-T)EBIT+TInterests,40.0million,40.2million19.8million,$13.2million,20,WACCwithTaxes,OtherM&Massumptionshold,Hasachangeoffinancialleverageanyimpactonthefirmvalue?
Answer:
Yes!
Discountrateforcashflowofthefirm,21,StockPrice,ShareNumberTotalEquitySharePrice,CompanyA:
1million,67.0million,$67,CompanyB:
600,000,40.2million,$67,?
IfCompanyAweretoannounceanissueof$40milliondebttobeusedtorepurchaseandretirecommonstock,Ascapitalstructure=Bscapitalstructure,Marketreaction:
priceofAssharewouldgouptoreflectthe$13.2milliontaxshield:
$(67.0+13.2)million/1million=$80.2pershare.,Whereisthebenefitofthetaxshield?
22,StatePrices,Risk-freesecurity,Risk-freeinterestrate,BondA,BondB,23,BasicSecurities,BasicSecurity1BasicSecurity2,=?
=?
PortfolioBasicSecurity1,BasicSecurity2,replicating,BondA,=,NoArbitrage,24,Replicatingriskfreesecurity,PortfolioBasicSecurity1,BasicSecurity2,replicating,=,Let,StatePrices,25,ReplicatingBondAandBondB,NoArbitrage,Questions?
Dothereexistsuchkindbasicsecuritiesintherealworld?
Arethereenoughbasicsecuritiesthatcanbeusedtoreplicateallthepayoffofsecuritiesinthemarket?
Answers:
Findsomeequivalentinstrumentsinsteadofbasicsecurities.Itinvolvesinmarketcompleteness.,26,Replicationviaequivalentinstruments,PortfolioBondA,marketvaluerisk-freesecurity,replicatingBondB,27,MarketCompleteness,Wheneverthenumberofdifferentinstrumentsusedtoreplicatesecuritiesequalsthenumberofstatessothatwecanattainanypayoffofsecuritiesinfuture,insuchacircumstance,themarketisacompleteone.Otherwise,themarketisincomplete.,Completenessisacoreconceptoffinancetheories!
28,SummaryofChapterOne,NoArbitrageEquilibriumReplicationMethodologyStatePricesTechnology,29,CHAPTERTWO:
TimeValueofMoneyandTermStructureofInterest,DiscountedCashFlowFormula,Yes!
istheexpectedrateofreturn,i.e.,themeanofthediscountratesfordifferentterms,Let,No!
isthediscountratethatcannotbeusedforsolongperiod,?
30,DeterminationofInterest,Capitalproductionabilitythemorethecapitalsexpectedreturn,thehighertheinterestratesandviceversa.Uncertaintyofcapitalproductionabilitythemoretheuncertainty,thehighertheriskpremiumrequiredandthehighertheinterestratesandviceversa.Timepreferenceofconsumptionthestrongerpreferencetocurrentconsumption,thehighertheriskpremiumrequiredandthehighertheinterestratesandviceversa.Riskaversionthemoretheriskaversion,thehighertheriskpremiumrequiredandthelowertherisk-freeinterestrates.,Fourbasicfactors,31,TheBenchmarkofInterest,YieldtoMaturity(YTM),YTMvarieswithdifferentfinancialinstruments,becausetheexposureoffinancialinstrumentsarequitedifferentandtherequiredriskpremiumsdifferfromeachother.,Risk-freeinterestvarieswithterms.Itscalledthetermstructureofinterests.,Risk-freeinterests,?
?
No!
Yes!
32,