English

Markov Switching Component ARCH Model: Stability and Forecasting

Methodology 2014-02-20 v2

Abstract

This paper introduces an extension of the Markov switching GARCH model where the volatility in each state is a convex combination of two different GARCH components with time varying weights. This model has the dynamic behavior to capture the variants of shocks. The asymptotic behavior of the second moment is investigated and an appropriate upper bound for it is evaluated. The estimation of the parameters by using the Bayesian method via Gibbs sampling algorithm is studied. Finally we illustrate the efficiency of the model by simulation and empirical analysis. We show that this model provides a much better forecast of the volatility than the Markov switching GARCH model.

Keywords

Cite

@article{arxiv.1303.5525,
  title  = {Markov Switching Component ARCH Model: Stability and Forecasting},
  author = {N. Alemohammad and S. Rezakhah and S. H. Alizadeh},
  journal= {arXiv preprint arXiv:1303.5525},
  year   = {2014}
}

Comments

17 pages

R2 v1 2026-06-21T23:46:25.218Z