2015Journal of Northwest Normal UniversityRequires access

European option pricing for the mixed fractional Brownian motion with Vasicek interest rate

XU Fen

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Abstract

Assuming that the riskless interest rate is driven by Vasicek model,the European option pricing is changed into the question of solving partial differential equation by Itformula of mixed fractional Brownian motion.Finally,ageneral pricing formula of European option is obtained by using the partial differential equation method.

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Assuming that the riskless interest rate is driven by Vasicek model,the European option pricing is changed into the question of solving partial differential equation by Itformula of mixed fractional Brownian motion.Finally,ageneral pricing formula of European option is obtained by using the partial differential equation method.

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Available abstract

Assuming that the riskless interest rate is driven by Vasicek model,the European option pricing is changed into the question of solving partial differential equation by Itformula of mixed fractional Brownian motion.Finally,ageneral pricing formula of European option is obtained by using the partial differential equation method.

Key concepts: Vasicek model, Interest rate, Mathematics, Partial differential equation, Brownian motion, Fractional Brownian motion, Applied mathematics, Mathematical analysis

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