How Well Do Markov Switching Models Describe Actual Business Cycles? The Case of Synchronization
The objective of this paper is to evaluate the effectiveness of using a Markov switching model to measure the synchronization of business cycles. We use a Bayesian, Gibbs sampling approach to estimate a multivariate Markov switching model of GDP growth for several countries. We look for evidence of synchronization across countries in the sense of common Markov states, covariance of impulses and a long-run co-integrating relationship. We then use the fitted data implied by the posterior distribution of the Markov switching VAR, in conjunction with a dating rule, to obtain the posterior distribution of binary business cycle states. We use these to investigate the posterior distributions of non-parametric measures of synchronization described by Harding and Pagan (2003) and compare them with similar measures obtained from standard reference chronologies. As a point of reference, we repeat this exercise using simulated data from a linear VAR. We find no evidence of a common Markov state, but some evidence of the propagation of country-specific disturbances across countries and of a co-integrating relationship between the United States and Canada. Posterior odds ratios overwhelmingly favor the Markov switching model over the linear VAR and we find that the posterior distributions of the non-parametric measures of synchronisation produced by the Markov switching VAR match the data more closely than those produced by the linear VAR.
|Date of creation:||May 2004|
|Contact details of provider:|| Postal: Melbourne Institute of Applied Economic and Social Research, The University of Melbourne, Victoria 3010 Australia|
Phone: +61 3 8344 2100
Fax: +61 3 8344 2111
Web page: http://www.melbourneinstitute.com/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- James D. Hamilton & Daniel F. Waggoner & Tao Zha, 2004.
"Normalization in econometrics,"
FRB Atlanta Working Paper
2004-13, Federal Reserve Bank of Atlanta.
- Gerhard Bry & Charlotte Boschan, 1971. "Cyclical Analysis of Time Series: Selected Procedures and Computer Programs," NBER Books, National Bureau of Economic Research, Inc, number bry_71-1, 08.
- Artis, M. & Krolzig, H.-M. & Toro, J., 1999.
"The European Business Cycle,"
Economics Working Papers
eco99/24, European University Institute.
- Mike Artis & Hans-Martin Krolzig & Juan Toro, 2002. "The European Business Cycle," Economic Working Papers at Centro de Estudios Andaluces E2002/19, Centro de Estudios Andaluces.
- Artis, Michael J & Krolzig, Hans-Martin & Toro, Juan, 1999. "The European Business Cycle," CEPR Discussion Papers 2242, C.E.P.R. Discussion Papers.
- Durland, J Michael & McCurdy, Thomas H, 1994.
"Duration-Dependent Transitions in a Markov Model of U.S. GNP Growth,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 12(3), pages 279-88, July.
- J. Michael Durland & Thomas H. McCurdy, 1993. "Duration Dependent Transitions in a Markov Model of U.S. GNP Growth," Working Papers 887, Queen's University, Department of Economics.
- Artis, Michael J & Kontolemis, Zenon G & Osborn, Denise R, 1997. "Business Cycles for G7 and European Countries," The Journal of Business, University of Chicago Press, vol. 70(2), pages 249-79, April.
- Paap, Richard & van Dijk, Herman K, 2003.
"Bayes Estimates of Markov Trends in Possibly Cointegrated Series: An Application to U.S. Consumption and Income,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 21(4), pages 547-63, October.
- Richard Paap & Herman K. van Dijk, 1999. "Bayes Estimates of Markov Trends in possibly Cointegrated Series: An Application to US Consumption and Income," Tinbergen Institute Discussion Papers 99-024/4, Tinbergen Institute.
- Paap, R. & van Dijk, H.K., 2002. "Bayes estimates of Markov trends in possibly cointegrated series: an application to US consumption and income," Econometric Institute Research Papers EI 2002-42, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Filardo, Andrew J, 1994.
"Business-Cycle Phases and Their Transitional Dynamics,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 12(3), pages 299-308, July.
- Tom Doan, . "RATS programs to replicate Filardo JBES 1994 paper with time-varying Markov switching," Statistical Software Components RTZ00059, Boston College Department of Economics.
- Andrew J. Filardo, 1993. "Business cycle phases and their transitional dynamics," Research Working Paper 93-14, Federal Reserve Bank of Kansas City.
- Penelope A. Smith & Peter M. Summers, 2004. "Identification and normalization in Markov switching models of "business cycles"," Research Working Paper RWP 04-09, Federal Reserve Bank of Kansas City.
- Andrew J. Filardo & Stephen F. Gordon, 1993.
"Business cycle durations,"
Research Working Paper
93-11, Federal Reserve Bank of Kansas City.
- Vassilis A. Hajivassiliou & Daniel L. McFadden, 1998.
"The Method of Simulated Scores for the Estimation of LDV Models,"
Econometric Society, vol. 66(4), pages 863-896, July.
- Vassilis A. Hajivassiliou & Daniel L. McFadden, 1993. "The Method of Simulated Scores for the Estimation of LDV Models," Working Papers _023, Yale University.
- V A Hajivassiliou & DL McFadden, 1997. "The Method of Simulated Scores for the Estimation of LDV Models," STICERD - Econometrics Paper Series 328, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- 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.
- Don Harding & Adrian Pagan, 1999. "Dissecting the Cycle," Melbourne Institute Working Paper Series wp1999n13, Melbourne Institute of Applied Economic and Social Research, The University of Melbourne.
- 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, March.
- Harding, Don & Pagan, Adrian, 2006. "Synchronization of cycles," Journal of Econometrics, Elsevier, vol. 132(1), pages 59-79, May.
- Vassilis A. Hajivassiliou & Daniel L. McFadden & Paul Ruud, 1993.
"Simulation of Multivariate Normal Rectangle Probabilities and their Derivatives: Theoretical and Computational Results,"
_024, Yale University.
- Hajivassiliou, Vassilis & McFadden, Daniel & Ruud, Paul, 1996. "Simulation of multivariate normal rectangle probabilities and their derivatives theoretical and computational results," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 85-134.
- Albert, James H & Chib, Siddhartha, 1993. "Bayes Inference via Gibbs Sampling of Autoregressive Time Series Subject to Markov Mean and Variance Shifts," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 1-15, January.
- Phillips, Kerk L., 1991. "A two-country model of stochastic output with changes in regime," Journal of International Economics, Elsevier, vol. 31(1-2), pages 121-142, August.
- M. Ayhan Kose & Christopher Otrok & Charles H. Whiteman, 2003. "International Business Cycles: World, Region, and Country-Specific Factors," American Economic Review, American Economic Association, vol. 93(4), pages 1216-1239, September.
- Smith Penelope & Summers Peter M, 2009.
"Regime Switches in GDP Growth and Volatility: Some International Evidence and Implications for Modeling Business Cycles,"
The B.E. Journal of Macroeconomics,
De Gruyter, vol. 9(1), pages 1-19, September.
- Penelope A. Smith & Peter M. Summers, 2002. "Regime Switches in GDP Growth and Volatility: Some International Evidence and Implications for Modelling Business Cycles," Melbourne Institute Working Paper Series wp2002n21, Melbourne Institute of Applied Economic and Social Research, The University of Melbourne.
- Michael D. Bordo & Thomas Helbling, 2003. "Have National Business Cycles Become More Synchronized?," NBER Working Papers 10130, National Bureau of Economic Research, Inc.
- Hess, Gregory D & Iwata, Shigeru, 1997. "Measuring and Comparing Business-Cycle Features," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(4), pages 432-44, October.
- Goodwin, Thomas H, 1993. "Business-Cycle Analysis with a Markov-Switching Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(3), pages 331-39, July.
This item is featured on the following reading lists or Wikipedia pages:
When requesting a correction, please mention this item's handle: RePEc:iae:iaewps:wp2004n09. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Abbey Treloar)
If references are entirely missing, you can add them using this form.