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Long memory and nonlinearities in realized volatility: A Markov switching approach

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  • Raggi, Davide
  • Bordignon, Silvano

Abstract

Realized volatility is studied using nonlinear and highly persistent dynamics. In particular, a model is proposed that simultaneously captures long memory and nonlinearities in which level and persistence shift through a Markov switching dynamics. Inference is based on an efficient Markov chain Monte Carlo (MCMC) algorithm that is used to estimate parameters, latent process and predictive densities. The in-sample results show that both long memory and nonlinearities are significant and improve the description of the data. The out-sample results at several forecast horizons show that introducing these nonlinearities produces superior forecasts over those obtained using nested models.

Suggested Citation

  • Raggi, Davide & Bordignon, Silvano, 2012. "Long memory and nonlinearities in realized volatility: A Markov switching approach," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3730-3742.
  • Handle: RePEc:eee:csdana:v:56:y:2012:i:11:p:3730-3742
    DOI: 10.1016/j.csda.2010.12.008
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