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Modelling multiple regimes in financial volatility with a flexible coefficient GARCH model

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Author Info
Marcelo Cunha Medeiros () (Department of Economics PUC-Rio)
Alvaro Veiga () (Department of Electrical Engineering PUC-Rio)

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Abstract

In this paper a flexible GARCH-type model is developed with the aim of describing sign and size asymmetries in financial volatility as well as intermittent dynamics and excess of kurtosis. A sufficient condition for strict stationarity and ergodicity of the model is established and the existence of the second- and fourth-order moments is discussed. It is shown that the model may have explosive regimes and still be strictly stationary and ergodic. Furthermore, estimation of the parameters is carefully addressed and the asymptotic properties of the quasi-maximum likelihood estimator is derived. A modeling cycle based on a sequence of simple and easily implemented Lagrange multiplier tests is discussed in order to avoid the estimation of unidentified models. A Monte-Carlo experiment is designed to evaluate the methodology. Empirical examples are used to illustrate the use of the model in practical situations.

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Publisher Info
Paper provided by Department of Economics PUC-Rio (Brazil) in its series Textos para discussão with number 486.

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Length: 50 pages
Date of creation: Jul 2004
Date of revision:
Handle: RePEc:rio:texdis:486

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Related research
Keywords: Volatility; GARCH models; multiple regimes; nonlinear time series; smooth transition; finance; asymmetry; leverage effect; excess of kurtosis.;

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This paper has been announced in the following NEP Reports: Cited by:
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  1. Tim Bollerslev, 2008. "Glossary to ARCH (GARCH)," CREATES Research Papers 2008-49, School of Economics and Management, University of Aarhus. [Downloadable!]
  2. Michael McAleer & Marcelo Cunha Medeiros, 2006. "Realized volatility: a review," Textos para discussão 531 Publication status: F, Department of Economics PUC-Rio (Brazil). [Downloadable!]
    Other versions:
  3. Fulvio Corsi & Francesco Audrino, 2008. "Modeling Tick-by-Tick Realized Correlations," University of St. Gallen Department of Economics working paper series 2008 2008-05, Department of Economics, University of St. Gallen. [Downloadable!]
  4. Francesco Audrino & Marcelo C. Medeiros, 2008. "Smooth Regimes, Macroeconomic Variables, and Bagging for the Short-Term Interest Rate Process," University of St. Gallen Department of Economics working paper series 2008 2008-16, Department of Economics, University of St. Gallen. [Downloadable!]
  5. Mika Meitz & Pentti Saikkonen, 2007. "Ergodicity, mixing, and existence of moments of a class of Markov models with applications to GARCH and ACD models," Economics Series Working Papers 327, University of Oxford, Department of Economics. [Downloadable!]
    Other versions:
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