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Coherent Model-Free Implied Volatility: A Corridor Fix for High-Frequency VIX

Author

Listed:
  • Torben G. Andersen

    () (Kellogg School of Management; Northwestern University and CREATES)

  • Oleg Bondarenko

    () (Department of Finance (MC 168), University of Illinois at Chicago)

  • Maria T. Gonzalez-Perez

    () (Colegio Universitario de Estudios Financieros (CUNEF))

Abstract

The VIX index is computed as a weighted average of SPX option prices over a range of strikes according to specific rules regarding market liquidity. It is explicitly designed to provide a model-free option-implied volatility measure. Using tick-by-tick observations on the underlying options, we document a substantial time variation in the coverage which the stipulated strike range affords for the distribution of future S&P 500 index prices. This produces idiosyncratic biases in the measure, distorting the time series properties of VIX. We introduce a novel “Corridor Implied Volatility” index (CX) computed from a strike range covering an “economically invariant” proportion of the future S&P 500 index values. We find the CX measure superior in filtering out noise and eliminating artificial jumps, thus providing a markedly different characterization of the high-frequency volatility dynamics. Moreover, the VIX measure is particularly unreliable during periods of market stress, exactly when a “fear gauge” is most valuable.

Suggested Citation

  • Torben G. Andersen & Oleg Bondarenko & Maria T. Gonzalez-Perez, 2011. "Coherent Model-Free Implied Volatility: A Corridor Fix for High-Frequency VIX," CREATES Research Papers 2011-49, Department of Economics and Business Economics, Aarhus University.
  • Handle: RePEc:aah:create:2011-49
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    File URL: ftp://ftp.econ.au.dk/creates/rp/11/rp11_49.pdf
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    References listed on IDEAS

    as
    1. Todorov, Viktor & Tauchen, George, 2010. "Activity signature functions for high-frequency data analysis," Journal of Econometrics, Elsevier, vol. 154(2), pages 125-138, February.
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    Cited by:

    1. Konstantinidi, Eirini & Skiadopoulos, George, 2016. "How does the market variance risk premium vary over time? Evidence from S&P 500 variance swap investment returns," Journal of Banking & Finance, Elsevier, vol. 62(C), pages 62-75.
    2. Barunik, Jozef & Barunikova, Michaela, 2015. "Revisiting the long memory dynamics of implied-realized volatility relation: A new evidence from wavelet band spectrum regression," FinMaP-Working Papers 43, Collaborative EU Project FinMaP - Financial Distortions and Macroeconomic Performance: Expectations, Constraints and Interaction of Agents.
    3. Rohini Grover & Ajay Shah, 2014. "The imprecision of volatility indexes," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2014-031, Indira Gandhi Institute of Development Research, Mumbai, India.
    4. Kent Daniel & Ravi Jagannathan & Soohun Kim, 2012. "Tail Risk in Momentum Strategy Returns," NBER Working Papers 18169, National Bureau of Economic Research, Inc.

    More about this item

    Keywords

    VIX; Model-Free Implied Volatility; Corridor Implied Volatility; Time Series Coherence;

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics

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