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A New Approach to Markov-Switching GARCH Models

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Markus Haas

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Abstract

The use of Markov-switching models to capture the volatility dynamics of financial time series has grown considerably during past years, in part because they give rise to a plausible interpretation of nonlinearities. Nevertheless, GARCH-type models remain ubiquitous in order to allow for nonlinearities associated with time-varying volatility. Existing methods of combining the two approaches are unsatisfactory, as they either suffer from severe estimation difficulties or else their dynamic properties are not well understood. In this article we present a new Markov-switching GARCH model that overcomes both of these problems. Dynamic properties are derived and their implications for the volatility process discussed. We argue that the disaggregation of the variance process offered by the new model is more plausible than in the existing variants. The approach is illustrated with several exchange rate return series. The results suggest that a promising volatility model is an independent switching GARCH process with a possibly skewed conditional mixture density. Copyright 2004, Oxford University Press.

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File URL: http://hdl.handle.net/10.1093/jjfinec/nbh020
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Article provided by Oxford University Press in its journal Journal of Financial Econometrics.

Volume (Year): 2 (2004)
Issue (Month): 4 ()
Pages: 493-530
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Handle: RePEc:oup:jfinec:v:2:y:2004:i:4:p:493-530

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  1. Luc, BAUWENS & G., STORTI, 2007. "A Component GARCH Model with Time Varying Weights," Discussion Papers 2007012, Université catholique de Louvain, Département des Sciences Economiques. [Downloadable!]
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  2. Markus Haas & Stefan Mittnik & Bruce Mizrach, 2005. "Assessing Central Bank Credibility During the ERM Crises: Comparing Option and Spot Market-Based Forecasts," CFS Working Paper Series 2005/09, Center for Financial Studies. [Downloadable!]
    Other versions:
  3. Luc, BAUWENS & Arie, PREMINGER & Jeroen, ROMBOUTS, 2007. "Theory and inference for a Markov switching GARCH model," Discussion Papers 2007033, Université catholique de Louvain, Département des Sciences Economiques. [Downloadable!]
    Other versions:
  4. Colavecchio , Roberta & Funke, Michael, 2007. "Volatility dependence across Asia-Pacific on-shore and off-shore U.S. dollar futures markets," BOFIT Discussion Papers 17/2007, Bank of Finland, Institute for Economies in Transition. [Downloadable!]
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  5. Walter Kraemer, 2008. "Long Memory with Markov-Switching GARCH," CESifo Working Paper Series CESifo Working Paper No. , CESifo GmbH. [Downloadable!]
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  6. Emese Lazar & Carol Alexander, 2006. "Normal mixture GARCH(1,1): applications to exchange rate modelling," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(3), pages 307-336. [Downloadable!]
  7. Zhongfang He & John M Maheu, 2008. "Real Time Detection of Structural Breaks in GARCH Models," Working Papers tecipa-336, University of Toronto, Department of Economics. [Downloadable!]
  8. Markus Haas & Stefan Mittnik & Marc S. Paolella, 2006. "Modelling and predicting market risk with Laplace--Gaussian mixture distributions," Applied Financial Economics, Taylor and Francis Journals, vol. 16(15), pages 1145-1162, October. [Downloadable!] (restricted)
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