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Equity Option Pricing with Systematic and Idiosyncratic Volatility and Jump Risks

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  • Zhe Li

    (Business School, Nanjing Normal University, Nanjing 210023, China)

Abstract

Recently, a large number of empirical studies indicated that individual equity options exhibit a strong factor structure. In this paper, the importance of systematic and idiosyncratic volatility and jump risks on individual equity option pricing is analyzed. First, we propose a new factor structure model for pricing the individual equity options with stochastic volatility and jumps, which takes into account four types of risks, i.e., the systematic diffusion, the idiosyncratic diffusion, the systematic jump, and the idiosyncratic jump. Second, we derive the closed-form solutions for the prices of both the market index and individual equity options by utilizing the Fourier inversion. Finally, empirical studies are carried out to show the superiority of our model based on the S&P 500 index and the stock of Apple Inc. on options. The out-of-sample pricing performance of our proposed model outperforms the other three benchmark models especially for short term and deep out-of-the-money options.

Suggested Citation

  • Zhe Li, 2020. "Equity Option Pricing with Systematic and Idiosyncratic Volatility and Jump Risks," JRFM, MDPI, vol. 13(1), pages 1-18, January.
    • Handle: RePEc:gam:jjrfmx:v:13:y:2020:i:1:p:16-:d:310060
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    References listed on IDEAS

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    Cited by:

    1. Wei-Guo Zhang & Zhe Li & Yong-Jun Liu & Yue Zhang, 2021. "Pricing European Option Under Fuzzy Mixed Fractional Brownian Motion Model with Jumps," Computational Economics, Springer;Society for Computational Economics, vol. 58(2), pages 483-515, August.

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