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1、MotivationBinomialTreeFinancialEngineeringAssetPricingTheoremandBinomialTreeHaiLanDept.ofManagementSciencesShanghaiJiaoTongUniversity.September24,2012H.LanFinancialEngineeringMotivationBinomialTreeOutlineMotivationGeneralInformationonOptionDiscreteTimeAssetPricingBinomi
2、alTreeH.LanFinancialEngineeringMotivationGeneralInformationonOptionBinomialTreeDiscreteTimeAssetPricingSimpleOptionInASimpleWorldSupposeinaoneperiodsimpleworld,therearetwoassets:StockAandriskfreemoneyaccount.Attime0,thepriceofstockAisS0;attime1,ifmarketgoesup,thestockpr
3、iceisSu,otherwise,thepriceisSd.TheriskfreerateisRf.Inthissimpleworld,Ishortsellingispermitted;Inotransactioncost;H.LanFinancialEngineeringMotivationGeneralInformationonOptionBinomialTreeDiscreteTimeAssetPricingSimpleOptionInASimpleWorldSupposeinaoneperiodsimpleworld,the
4、rearetwoassets:StockAandriskfreemoneyaccount.Attime0,thepriceofstockAisS0;attime1,ifmarketgoesup,thestockpriceisSu,otherwise,thepriceisSd.TheriskfreerateisRf.Inthissimpleworld,Ishortsellingispermitted;Inotransactioncost;Iassetscanbeboughtorsoldinanyfractionalshares;H.La
5、nFinancialEngineeringMotivationGeneralInformationonOptionBinomialTreeDiscreteTimeAssetPricingSimpleOptionInASimpleWorldSupposeinaoneperiodsimpleworld,therearetwoassets:StockAandriskfreemoneyaccount.Attime0,thepriceofstockAisS0;attime1,ifmarketgoesup,thestockpriceisSu,ot
6、herwise,thepriceisSd.TheriskfreerateisRf.Inthissimpleworld,Ishortsellingispermitted;Inotransactioncost;Iassetscanbeboughtorsoldinanyfractionalshares;Iask-bidspreadiszero;H.LanFinancialEngineeringMotivationGeneralInformationonOptionBinomialTreeDiscreteTimeAssetPricingSim
7、pleOptionInASimpleWorldSupposeinaoneperiodsimpleworld,therearetwoassets:StockAandriskfreemoneyaccount.Attime0,thepriceofstockAisS0;attime1,ifmarketgoesup,thestockpriceisSu,otherwise,thepriceisSd.TheriskfreerateisRf.Inthissimpleworld,Ishortsellingispermitted;Inotransacti
8、oncost;Iassetscanbeboughtorsoldinanyfractionalshares;Iask-bidspreadiszero;Ihumanbeingsarerational.H.LanFinanci