Conditional Markov regime switching model applied to economic modelling
In this paper we discuss the calibration issues of regime switching models built on mean-reverting and local volatility processes combined with two Markov regime switch- ing processes. In fact, the volatility structure of this model depends on a first exogenous Markov chain whereas the drift structure depends on a conditional Markov chain with re- spect to the first one. The structure is also assumed to be Markovian and both structure and regime are unobserved. Regarding this construction, we extend the classical Expectation- Maximization (EM) algorithm to be applied to our regime switching model. We apply it to economic datas (Euro-Dollars foreign exchange rate and Brent oil price) to show that this modelling well identifies both mean reverting and volatility regimes switches. More- over, it allows us to give economic interpretations of this regime classification such as some financial crisis or some economic policies.
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- Kim, C-J., 1991.
"Dynamic Linear Models with Markov-Switching,"
91-8, York (Canada) - Department of Economics.
- Engel, Charles & Hamilton, James D, 1990. "Long Swings in the Dollar: Are They in the Data and Do Markets Know It?," American Economic Review, American Economic Association, vol. 80(4), pages 689-713, September.
- Stéphane Goutte & Benteng Zou, 2012. "Continuous time regime switching model applied to foreign exchange rate," Working Papers hal-00643900, HAL.
- Bai, Jushan & Wang, Peng, 2011.
"Conditional Markov chain and its application in economic time series analysis,"
33369, University Library of Munich, Germany.
- Jushan Bai & Peng Wang, 2011. "Conditional Markov chain and its application in economic time series analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(5), pages 715-734, 08.
- Baele, Lieven, 2005.
"Volatility Spillover Effects in European Equity Markets,"
Journal of Financial and Quantitative Analysis,
Cambridge University Press, vol. 40(02), pages 373-401, June.
- L. Baele, 2003. "Volatility Spillover Effects in European Equity Markets," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 03/189, Ghent University, Faculty of Economics and Business Administration.
- Baele, L., 2003. "Volatility Spillover Effects in European Equity Markets," Discussion Paper 2003-114, Tilburg University, Center for Economic Research.
- Andrew Ang & Geert Bekaert, 1998.
"Regime Switches in Interest Rates,"
NBER Working Papers
6508, National Bureau of Economic Research, Inc.
- Choi Seungmoon, 2009. "Regime-Switching Univariate Diffusion Models of the Short-Term Interest Rate," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 13(1), pages 1-41, March.
- Chang-Jin Kim & Charles R. Nelson, 1999. "State-Space Models with Regime Switching: Classical and Gibbs-Sampling Approaches with Applications," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262112388, June.
- Joanna Janczura & Rafal Weron, 2011.
"Efficient estimation of Markov regime-switching models: An application to electricity spot prices,"
HSC Research Reports
HSC/11/02, Hugo Steinhaus Center, Wroclaw University of Technology.
- Joanna Janczura & Rafał Weron, 2012. "Efficient estimation of Markov regime-switching models: An application to electricity spot prices," AStA Advances in Statistical Analysis, Springer, vol. 96(3), pages 385-407, July.
- Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March.
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