2010Harbin Ligong Daxue xuebaoOpen access

Pricing of Option on Dividend-paying Stock in a Fractional Brownian Motion Environment by Martingale Analysis

Kong Fan-liang

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Abstract

Under the fractional Brownian motion environment,this article uses the foundation asset price approaching the process in the property of Martingale.We derive and analyze the stage in having dividend-paying of the option fixed price equation.

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Under the fractional Brownian motion environment,this article uses the foundation asset price approaching the process in the property of Martingale.We derive and analyze the stage in having dividend-paying of the option fixed price equation.

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Available abstract

Under the fractional Brownian motion environment,this article uses the foundation asset price approaching the process in the property of Martingale.We derive and analyze the stage in having dividend-paying of the option fixed price equation.

Key concepts: Martingale (probability theory), Dividend, Geometric Brownian motion, Fractional Brownian motion, Stock price, Econometrics, Economics, Mathematical economics

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