The Exchange Option of Pricing Underlying Asset Price Submitted to the Geometric Fractional Brownian Motion
Qizhi He
Abstract
Qizhi He
Abstract
Under the hypothesis of stock submitted to the Geometric Fractional Brownian Motion,the price of European exchange option is obtained and meanwhile,it is compared with the Normal Brownian Motion.The results have shown that the B-S model is a special case of the Fractional Brownian Motion.
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Under the hypothesis of stock submitted to the Geometric Fractional Brownian Motion,the price of European exchange option is obtained and meanwhile,it is compared with the Normal Brownian Motion.The results have shown that the B-S model is a special case of the Fractional Brownian Motion.
Key concepts: Fractional Brownian motion, Geometric Brownian motion, Stock price, Brownian motion, Stock exchange, Asset (computer security), Mathematics, Economics