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Lévy jump risk: Evidence from options and returns

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  • Ornthanalai, Chayawat

Abstract

Using index options and returns from 1996 to 2009, I estimate discrete-time models where asset returns follow a Brownian increment and a Lévy jump. Time variations in these models are generated with an affine GARCH, which facilitates the empirical implementation. I find that the risk premium implied by infinite-activity jumps contributes to more than half of the total equity premium and dominates that of the Brownian increments suggesting that it is more representative of the risks present in the economy. Overall, my findings suggest that infinite-activity jumps, instead of the Brownian increments, should be the default modeling choice in asset pricing models.

Suggested Citation

  • Ornthanalai, Chayawat, 2014. "Lévy jump risk: Evidence from options and returns," Journal of Financial Economics, Elsevier, vol. 112(1), pages 69-90.
  • Handle: RePEc:eee:jfinec:v:112:y:2014:i:1:p:69-90
    DOI: 10.1016/j.jfineco.2013.11.009
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    Cited by:

    1. repec:eee:jbfina:v:83:y:2017:i:c:p:85-103 is not listed on IDEAS
    2. Christoffersen, Peter & Feunou, Bruno & Jeon, Yoontae, 2015. "Option valuation with observable volatility and jump dynamics," Journal of Banking & Finance, Elsevier, vol. 61(S2), pages 101-120.
    3. Byun, Suk Joon & Jeon, Byoung Hyun & Min, Byungsun & Yoon, Sun-Joong, 2015. "The role of the variance premium in Jump-GARCH option pricing models," Journal of Banking & Finance, Elsevier, vol. 59(C), pages 38-56.
    4. repec:eee:jbfina:v:87:y:2018:i:c:p:49-67 is not listed on IDEAS
    5. Xiao, Shuang & Ma, Shihua, 2016. "Pricing discrete double barrier options under Lévy processes: An extension of the method by Milev and Tagliani," Finance Research Letters, Elsevier, vol. 19(C), pages 67-74.
    6. Peter Christoffersen & Bruno Feunou & Yoontae Jeon & Chayawat Ornthanalai, 2016. "Time-Varying Crash Risk: The Role of Stock Market Liquidity," Staff Working Papers 16-35, Bank of Canada.
    7. Ruan, Xinfeng & Zhu, Wenli & Huang, Jiexiang & Zhang, Jin E., 2016. "Equilibrium asset pricing under the Lévy process with stochastic volatility and moment risk premiums," Economic Modelling, Elsevier, vol. 54(C), pages 326-338.
    8. Jean-François Bégin, 2016. "Deflation Risk and Implications for Life Insurers," Risks, MDPI, Open Access Journal, vol. 4(4), pages 1-36, December.
    9. Sergii Pypko, 2015. "Volatility Forecast in Crises and Expansions," Journal of Risk and Financial Management, MDPI, Open Access Journal, vol. 8(3), pages 1-26, August.
    10. Zheqing Zhu & Jian-guo Liu & Lei Li, 2017. "A Modified Levy Jump-Diffusion Model Based on Market Sentiment Memory for Online Jump Prediction," Papers 1709.03611, arXiv.org.
    11. Ben-zhang Yang & Jia Yue & Nan-jing Huang, 2017. "Variance swaps under L\'{e}vy process with stochastic volatility and stochastic interest rate in incomplete markets," Papers 1712.10105, arXiv.org, revised Mar 2018.

    More about this item

    Keywords

    Lévy process; Discrete-time; GARCH; Option valuation; Risk premium;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • G01 - Financial Economics - - General - - - Financial Crises
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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