Exchange option pricing in mixed fractional Brownian motion environment
Mingxuan Shen
Abstract
Mingxuan Shen
Abstract
The problem of pricing exchange options in mixed fractional Brownian motion environment is considered.Under the condition that the two stock pricing processes obey the stochastic differential equation driven by mixed fractional Brownian motion,the pricing formula of exchange options is obtained by insurance actuary pricing.
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The problem of pricing exchange options in mixed fractional Brownian motion environment is considered.Under the condition that the two stock pricing processes obey the stochastic differential equation driven by mixed fractional Brownian motion,the pricing formula of exchange options is obtained by insurance actuary pricing.
Key concepts: Fractional Brownian motion, Actuary, Stock exchange, Brownian motion, Valuation of options, Stochastic differential equation, Geometric Brownian motion, Diffusion process