European option pricing for the mixed fractional Brownian motion with Vasicek interest rate
XU Fen
Abstract
XU Fen
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 Itformula 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 Itformula 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