文章基本信息

标题：Option Pricing under the Double Exponential Jump-Diffusion Model with Stochastic Volatility and Interest Rate
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作者：Rongda Chen ; Zexi Li ; Liyuan Zeng 等
期刊名称：Journal of Management Science and Engineering
印刷版ISSN：2096-2320
出版年度：2017
卷号：2
期号：4
页码：252-289
DOI：10.3724/SP.J.1383.204012
语种：English
出版社：Elsevier
摘要：AbstractThis paper proposes an efficient option pricing model that incorporates stochastic interest rate (SIR), stochastic volatility (SV), and double exponential jump into the jump-diffusion settings. The model comprehensively considers the leptokurtosis and heteroscedasticity of the underlying asset’s returns, rare events, and an SIR. Using the model, we deduce the pricing characteristic function and pricing formula of a European option. Then, we develop the Markov chain Monte Carlo method with latent variable to solve the problem of parameter estimation under the double exponential jump-diffusion model with SIR and SV. For verification purposes, we conduct time efficiency analysis, goodness of fit analysis, and jump/drift term analysis of the proposed model. In addition, we compare the pricing accuracy of the proposed model with those of the Black–Scholes and the models. The empirical results show that the proposed option pricing model has high time efficiency, and the goodness of fit and pricing accuracy are significantly higher than those of the other two models.
关键词：Option pricing model;Stochastic interest rate;Stochastic volatility;Double exponential jump;Markov Chain Monte Carlo with Latent Variable