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Consistency between S&P500 and VIX derivatives: Insights from model‐free VIX futures pricing

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  • Hendrik Hülsbusch
  • Alexander Kraftschik

Abstract

This paper studies the interdependencies between the VIX futures market and the S&P500 and VIX options markets using a model‐free pricing method for VIX futures. We show that the replication strategy for the VIX futures greatly deviates from observed prices. Limited strike ranges do not suffice to explain these deviations, whereas the options’ bid–ask spreads can explain most of it. After controlling for the spreads, we find a lead–lag structure between markets segmented by product, not by its underlying. If options markets imply higher volatility risks than VIX futures, options prices in both markets adjust and vice versa.

Suggested Citation

  • Hendrik Hülsbusch & Alexander Kraftschik, 2018. "Consistency between S&P500 and VIX derivatives: Insights from model‐free VIX futures pricing," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 38(8), pages 977-995, August.
    • Handle: RePEc:wly:jfutmk:v:38:y:2018:i:8:p:977-995
    DOI: 10.1002/fut.21919
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    References listed on IDEAS

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    1. Carr, Peter & Wu, Liuren, 2007. "Stochastic skew in currency options," Journal of Financial Economics, Elsevier, vol. 86(1), pages 213-247, October.
    2. Bardgett, Chris & Gourier, Elise & Leippold, Markus, 2019. "Inferring volatility dynamics and risk premia from the S&P 500 and VIX markets," Journal of Financial Economics, Elsevier, vol. 131(3), pages 593-618.
    3. Gupta, Anurag & Subrahmanyam, Marti G., 2000. "An empirical examination of the convexity bias in the pricing of interest rate swaps," Journal of Financial Economics, Elsevier, vol. 55(2), pages 239-279, February.
    4. John Y. Campbell & Glen B. Taksler, 2003. "Equity Volatility and Corporate Bond Yields," Journal of Finance, American Finance Association, vol. 58(6), pages 2321-2350, December.
    5. repec:bla:jfinan:v:59:y:2004:i:3:p:1367-1404 is not listed on IDEAS
    6. Gurdip Bakshi & Nikunj Kapadia & Dilip Madan, 2003. "Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options," The Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 101-143.
    7. P. Carr & D. Madan, 2001. "Optimal positioning in derivative securities," Quantitative Finance, Taylor & Francis Journals, vol. 1(1), pages 19-37.
    8. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    9. Park, Yang-Ho, 2016. "The effects of asymmetric volatility and jumps on the pricing of VIX derivatives," Journal of Econometrics, Elsevier, vol. 192(1), pages 313-328.
    10. John M Griffin & Amin Shams, 2018. "Manipulation in the VIX?," The Review of Financial Studies, Society for Financial Studies, vol. 31(4), pages 1377-1417.
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    Cited by:

    1. Karamfil Todorov, 2021. "Passive funds affect prices: evidence from the most ETF-dominated asset classes," BIS Working Papers 952, Bank for International Settlements.

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