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Long Memory and Fractality in the Universe of Volatility Indices

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  • Bikramaditya Ghosh
  • Elie Bouri
  • Andreas Pape

Abstract

Unlike previous studies that consider the Chicago Board of Options Exchange (CBOE) implied volatility index (VIX), we examine long memory and fractality in the universe of nine CBOE volatility indices. Using daily data from October 5, 2007, to October 5, 2020, covering calm and crisis periods, we find evidence of long memory and fractality in all indices and a change in the degree of volatility persistence, which points to inefficiency. The long memory of the SKEW index is strong before the onset of three crisis periods, but eases afterwards. The findings provide new insights that matter to investment decisions and trading strategies.

Suggested Citation

  • Bikramaditya Ghosh & Elie Bouri & Andreas Pape, 2022. "Long Memory and Fractality in the Universe of Volatility Indices," Complexity, Hindawi, vol. 2022, pages 1-8, January.
    • Handle: RePEc:hin:complx:6728432
    DOI: 10.1155/2022/6728432
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    Cited by:

    1. Wang, Zhenkun & Bouri, Elie & Ferreira, Paulo & Shahzad, Syed Jawad Hussain & Ferrer, Román, 2022. "A grey-based correlation with multi-scale analysis: S&P 500 VIX and individual VIXs of large US company stocks," Finance Research Letters, Elsevier, vol. 48(C).
    2. Lu, Xunfa & He, Pengchao & Zhang, Zhengjun & Apergis, Nicholas & Roubaud, David, 2024. "Extreme co-movements between decomposed oil price shocks and sustainable investments," Energy Economics, Elsevier, vol. 134(C).
    3. Bouoiyour, Jamal & Gauthier, Marie & Bouri, Elie, 2023. "Which is leading: Renewable or brown energy assets?," Energy Economics, Elsevier, vol. 117(C).
    4. Bikramaditya Ghosh & Spyros Papathanasiou & Dimitrios Kenourgios, 2022. "Cross-Country Linkages and Asymmetries of Sovereign Risk Pluralistic Investigation of CDS Spreads," Sustainability, MDPI, vol. 14(21), pages 1-10, October.

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