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

  • Authors:
  • Davide Raggi;Silvano Bordignon

  • Affiliations:
  • University of Bologna, Department of Economics, Piazza Scaravilli 2, 40126 Bologna, Italy;University of Padova, Department of Statistics, Via C. Battisti 231, 35123 Padova, Italy

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 2012

Quantified Score

Hi-index 0.03

Visualization

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.