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The Role of the Conditional Skewness and Kurtosis in VIX Index Valuation

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  • Simon Lalancette
  • Jean†Guy Simonato

Abstract

The CBOE VIX index is a widely recognised benchmark measure of expected stock market volatility. As shown in the literature, probability distributions other than Gaussian are key features required to describe the dynamics of the S&P 500, the variable that ultimately determines the VIX index level. As such, it is important to assess if deviations from the Gaussian distribution have important impacts on the VIX index level. We examine herein how a model articulated over a time†varying non†Gaussian distribution with conditional skewness and kurtosis can contribute to the overall explanation of the VIX dynamics.

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  • Simon Lalancette & Jean†Guy Simonato, 2017. "The Role of the Conditional Skewness and Kurtosis in VIX Index Valuation," European Financial Management, European Financial Management Association, vol. 23(2), pages 325-354, March.
    • Handle: RePEc:bla:eufman:v:23:y:2017:i:2:p:325-354
    DOI: 10.1111/eufm.12096
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    3. Ouandlous, Arav & Barkoulas, John T. & Alhaj-Yaseen, Yaseen, 2018. "Persistence and discontinuity in the VIX dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 333-344.
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    6. Qiao, Gaoxiu & Yang, Jiyu & Li, Weiping, 2020. "VIX forecasting based on GARCH-type model with observable dynamic jumps: A new perspective," The North American Journal of Economics and Finance, Elsevier, vol. 53(C).
    7. León, Ángel & Ñíguez, Trino-Manuel, 2021. "The transformed Gram Charlier distribution: Parametric properties and financial risk applications," Journal of Empirical Finance, Elsevier, vol. 63(C), pages 323-349.
    8. León, Ángel & Ñíguez, Trino-Manuel, 2020. "Modeling asset returns under time-varying semi-nonparametric distributions," Journal of Banking & Finance, Elsevier, vol. 118(C).
    9. Qiao, Gaoxiu & Jiang, Gongyue & Yang, Jiyu, 2022. "VIX term structure forecasting: New evidence based on the realized semi-variances," International Review of Financial Analysis, Elsevier, vol. 82(C).

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