Pricing European Options in a Bivariate Jump-diffusion Model
Guohe Deng
Abstract
Guohe Deng
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.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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