2008Journal of Guangxi Normal UniversityRequires access

Pricing European Options in a Bivariate Jump-diffusion Model

Guohe Deng

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Abstract

By applying the martingale approach and the change of numeraire technique,the closed-form solutions of European call option are obtained under jump-diffusion model where the relative jump sizes of stock's price follow a log-binomial distribution,and the pricing formula of the future option is further gained.Finally,the numerical results in our proposed model against the Black-Scholes prices through numerical example are comparatively analyzed.

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What this paper is about

By applying the martingale approach and the change of numeraire technique,the closed-form solutions of European call option are obtained under jump-diffusion model where the relative jump sizes of stock's price follow a log-binomial distribution,and the pricing formula of the future option is further gained.Finally,the numerical results in our proposed model against the Black-Scholes prices through numerical example are comparatively analyzed.

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Available abstract

By applying the martingale approach and the change of numeraire technique,the closed-form solutions of European call option are obtained under jump-diffusion model where the relative jump sizes of stock's price follow a log-binomial distribution,and the pricing formula of the future option is further gained.Finally,the numerical results in our proposed model against the Black-Scholes prices through numerical example are comparatively analyzed.

Key concepts: Jump diffusion, Numéraire, Bivariate analysis, Jump, Binomial options pricing model, Mathematics, Martingale (probability theory), Call option

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