2012Journal of Shaanxi University of TechnologyRequires access

Pricing options on jump-diffusion model with stochastic interest rate

Yunfeng Yang

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Abstract

It is assumed that the jump process is counting one.The behavior model which the stock pricing process is obedient to jump-diffusion process was established.The option pricing was discussed when interest rate was random variable.The formula of European option which stock price with jump process is count process is deduced by martingale method,and the existing conclusions was drawn.

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What this paper is about

It is assumed that the jump process is counting one.The behavior model which the stock pricing process is obedient to jump-diffusion process was established.The option pricing was discussed when interest rate was random variable.The formula of European option which stock price with jump process is count process is deduced by martingale method,and the existing conclusions was drawn.

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Available abstract

It is assumed that the jump process is counting one.The behavior model which the stock pricing process is obedient to jump-diffusion process was established.The option pricing was discussed when interest rate was random variable.The formula of European option which stock price with jump process is count process is deduced by martingale method,and the existing conclusions was drawn.

Key concepts: Jump diffusion, Martingale (probability theory), Jump, Jump process, Rendleman–Bartter model, Econometrics, Diffusion process, Martingale pricing

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