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A test for change points under the roughness of stochastic volatility: the case of the VIX index

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  • Qinwen Zhu
  • Xundi Diao
  • Chongfeng Wu

Abstract

In light of the recent empirical studies with high-frequency data, the logarithm of the stock market volatility data behaves as a fractional Brownian motion (fBm) with the Hurst exponent smaller than 0.5. It thus leads to extensive research in the so-called rough volatility (RV). This paper introduces a novel non-parametric test for its change points detection problem, which combines the proposed autoregressive rough volatility (ARRV) model and an increment ratio (IR)-based filtering function. The empirical results of the VIX index show that our method can detect more accurate change points without dependence on initial conditions/parameters, work efficiently for trends and forecast robustly better.

Suggested Citation

  • Qinwen Zhu & Xundi Diao & Chongfeng Wu, 2025. "A test for change points under the roughness of stochastic volatility: the case of the VIX index," Applied Economics Letters, Taylor & Francis Journals, vol. 32(7), pages 951-959, April.
  • Handle: RePEc:taf:apeclt:v:32:y:2025:i:7:p:951-959
    DOI: 10.1080/13504851.2023.2294020
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