Approximately Pricing of Forward Starting Options under Stochastic Jump Circumstance
Xiao Qing-xian
Abstract
Xiao Qing-xian
Abstract
The problem of forward starting options in jump-diffusion models is considered.Firstly,the explicit equivalent martingale measure is presented by Girsanov theorem.Secondly,a computable price formula of a forward starting option is deduced using the martingale pricing method.The approximate price of a forward option as possible as accurate can be got by using the formula.
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The problem of forward starting options in jump-diffusion models is considered.Firstly,the explicit equivalent martingale measure is presented by Girsanov theorem.Secondly,a computable price formula of a forward starting option is deduced using the martingale pricing method.The approximate price of a forward option as possible as accurate can be got by using the formula.
Key concepts: Girsanov theorem, Martingale (probability theory), Martingale pricing, Jump diffusion, Mathematical economics, Forward price, Asian option, Local martingale