Exchange Option Pricing Model in Fractional Brownian Motion Environment
HE Cheng-jie
Abstract
HE Cheng-jie
Abstract
The issue of exchange options pricing in fractional Brownian motion environment is considered.Under the assumption that the two stock pricing processes obey the stochastic differential equation driven by geometric fractional Brownian motion,we obtain the pricing formula of exchange options by insurance actuary pricing method.
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The issue of exchange options pricing in fractional Brownian motion environment is considered.Under the assumption that the two stock pricing processes obey the stochastic differential equation driven by geometric fractional Brownian motion,we obtain the pricing formula of exchange options by insurance actuary pricing method.
Key concepts: Fractional Brownian motion, Geometric Brownian motion, Actuary, Stochastic differential equation, Stock exchange, Valuation of options, Brownian motion, Diffusion process