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Regime-Switching Cointegration

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  • Markus Jochmann

    (Newcastle University, UK; The Rimini Centre for Economic Analysis (RCEA), Italy)

  • Gary Koop

    (University of Strathclyde, UK; The Rimini Centre for Economic Analysis (RCEA), Italy)

Abstract

We develop methods for Bayesian inference in vector error correction models which are subject to a variety of switches in regime (e.g. Markov switches in regime or structural breaks). An important aspect of our approach is that we allow both the cointegrating vectors and the number of cointegrating relationships to change when the regime changes. We show how Bayesian model averaging r model selection methods can be used to deal with the high-dimensional model space that results. Our methods are used in an empirical study of the Fisher effect.

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Bibliographic Info

Paper provided by The Rimini Centre for Economic Analysis in its series Working Paper Series with number 40_11.

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Date of creation: Sep 2011
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Handle: RePEc:rim:rimwps:40_11

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Keywords: Bayesian; Markov switching; structural breaks; cointegration; model averaging;

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References

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  1. Gary Koop & Roberto Leon-Gonzalez & Rodney Strachan, 2010. "Efficient Posterior Simulation for Cointegrated Models with Priors on the Cointegration Space," Econometric Reviews, Taylor & Francis Journals, vol. 29(2), pages 224-242.
  2. Gary Koop & Simon M. Potter & Rodney W. Strachan, 2005. "Reexamining the consumption-wealth relationship: the role of model uncertainty," Staff Reports 202, Federal Reserve Bank of New York.
  3. Gael M. Martin, 2000. "US deficit sustainability: a new approach based on multiple endogenous breaks," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(1), pages 83-105.
  4. Koop, Gary & Leon-Gonzalez, Roberto & Strachan, Rodney W., 2008. "Bayesian Inference in the Time Varying Cointegration Model," SIRE Discussion Papers 2008-60, Scottish Institute for Research in Economics (SIRE).
  5. Beyer, Andreas & Haug, Alfred A. & Dewald, William G., 2009. "Structural breaks, cointegration and the Fisher effect," Working Paper Series 1013, European Central Bank.
  6. Strachan, R., 2000. "Valid Bayesian Estimation of the Cointegrating Error Correction Model," Monash Econometrics and Business Statistics Working Papers 6/00, Monash University, Department of Econometrics and Business Statistics.
  7. Saikkonen, Pentti & Choi, In, 2004. "Cointegrating Smooth Transition Regressions," Econometric Theory, Cambridge University Press, vol. 20(02), pages 301-340, April.
  8. Park, Joon Y. & Hahn, Sang B., 1999. "Cointegrating Regressions With Time Varying Coefficients," Econometric Theory, Cambridge University Press, vol. 15(05), pages 664-703, October.
  9. Chib, Siddhartha, 1998. "Estimation and comparison of multiple change-point models," Journal of Econometrics, Elsevier, vol. 86(2), pages 221-241, June.
  10. Geweke, John, 1996. "Bayesian reduced rank regression in econometrics," Journal of Econometrics, Elsevier, vol. 75(1), pages 121-146, November.
  11. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, September.
  12. Gary Koop & Roberto Leon-Gonzalez & Rodney Strachan, 2006. "Bayesian Inference in a Cointegrating Panel Data Model," Discussion Papers in Economics 06/2, Department of Economics, University of Leicester.
  13. Chib, Siddhartha, 1996. "Calculating posterior distributions and modal estimates in Markov mixture models," Journal of Econometrics, Elsevier, vol. 75(1), pages 79-97, November.
  14. Sugita, Katsuhiro, 2006. "Bayesian Analysis of Dynamic Multivariate Models with Multiple Structural Breaks," Discussion Papers 2006-14, Graduate School of Economics, Hitotsubashi University.
  15. Ang, Andrew & Bekaert, Geert, 2002. "Regime Switches in Interest Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(2), pages 163-82, April.
  16. Quintos, Carmela E., 1998. "Stability tests in error correction models," Journal of Econometrics, Elsevier, vol. 82(2), pages 289-315, February.
  17. Strachan, Rodney W. & Inder, Brett, 2004. "Bayesian analysis of the error correction model," Journal of Econometrics, Elsevier, vol. 123(2), pages 307-325, December.
  18. Andrade, Philippe & Bruneau, Catherine & Gregoir, Stephane, 2005. "Testing for the cointegration rank when some cointegrating directions are changing," Journal of Econometrics, Elsevier, vol. 124(2), pages 269-310, February.
  19. Markus Jochmann & Gary Koop & Roberto Leon‐Gonzalez & Rodney W. Strachan, 2013. "Stochastic search variable selection in vector error correction models with an application to a model of the UK macroeconomy," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 28(1), pages 62-81, 01.
  20. 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.
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