2015Journal of Northeast Normal UniversityRequires access

Power asian option pricing in mixed fractional brownian motion environment

Shen Ming-xua

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Abstract

The problem of pricing geometric average Asian option in mixed fractional Brownian motion environment is considered.Under the assumption that the stock pricing processes obeys the stochastic differential equation driven by mixed fractional Brownian motion,we obtain the pricing formula of power geometric average Asian option by quasi-conditional expectation.We also extend the pricing of geometric average Asian option with dividend.

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The problem of pricing geometric average Asian option in mixed fractional Brownian motion environment is considered.Under the assumption that the stock pricing processes obeys the stochastic differential equation driven by mixed fractional Brownian motion,we obtain the pricing formula of power geometric average Asian option by quasi-conditional expectation.We also extend the pricing of geometric average Asian option with dividend.

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Available abstract

The problem of pricing geometric average Asian option in mixed fractional Brownian motion environment is considered.Under the assumption that the stock pricing processes obeys the stochastic differential equation driven by mixed fractional Brownian motion,we obtain the pricing formula of power geometric average Asian option by quasi-conditional expectation.We also extend the pricing of geometric average Asian option with dividend.

Key concepts: Fractional Brownian motion, Geometric Brownian motion, Stochastic differential equation, Mathematics, Brownian motion, Valuation of options, Asian option, Applied mathematics

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