03_Brownian_Motion

03_Brownian_Motion

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时间:2019-07-17

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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

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