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Pricing VIX options with realized volatility

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  • Chen Tong
  • Zhuo Huang

Abstract

We investigate the role of realized volatility in pricing VIX options by using the generalized affine realized volatility (GARV) model, and the Realized generalized autoregressive conditionally heteroscedastic (GARCH) model. We develop a closed‐form pricing formula for the (affine) GARV model. For the (nonaffine) log‐linear Realized GARCH model, we introduce a novel approximation approach to derive its analytical pricing formula. Empirical results show that models with realized volatility significantly outperform competing models based on daily returns only, both in‐ and out‐of‐sample. The Realized GARCH model offers the best pricing performance, as it has fewer constraints and a more flexible modeling structure.

Suggested Citation

  • Chen Tong & Zhuo Huang, 2021. "Pricing VIX options with realized volatility," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(8), pages 1180-1200, August.
    • Handle: RePEc:wly:jfutmk:v:41:y:2021:i:8:p:1180-1200
    DOI: 10.1002/fut.22201
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    Cited by:

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    2. Chen Tong & Peter Reinhard Hansen & Zhuo Huang, 2022. "Option pricing with state‐dependent pricing kernel," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 42(8), pages 1409-1433, August.

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