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Statistical Analysis of Cointegrated VAR Processes with Markovian Regime Shifts

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  • Hans-Martin Krolzig

    ()
    (University of Oxford)

Abstract

This paper suggests a new methodological approach to the analysis of cointegrated linear systems subject to changes in regime. We consider cointegrated vector autoregressive processes where Markovian shifts occur in the equilibrium mean and the drift of the system. A two-stage maximum likelihood estimation technique is proposed. In the first stage, based on a finite order VAR approximation of the cointegrated VARMA representation, the Johansen cointegration analysis is invoked to determine the cointegration rank and to estimate the cointegration matrix. An EM algorithm delivers the maximum likelihood estimates of the remaining parameters. The methodology is illustrated with an investigation of international and global business cycles.

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Bibliographic Info

Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 1999 with number 1113.

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Date of creation: 01 Mar 1999
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Handle: RePEc:sce:scecf9:1113

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Cited by:
  1. Kui Fan & Zudi Lu & Shouyang Wang, 2009. "Dynamic Linkages Between the China and International Stock Markets," Asia-Pacific Financial Markets, Springer, vol. 16(3), pages 211-230, September.
  2. Vasco Gabriel & Pataaree Sangduan, 2009. "Assessing Fiscal Sustainability Subject to Policy Changes: a Markov Switching Cointegration Approach," School of Economics Discussion Papers 0309, School of Economics, University of Surrey.
  3. Vasco J. Gabriel & Luis F. Martins, 2000. "The Properties of Cointegration Tests in Models with Structural Change," NIPE Working Papers 1/2000, NIPE - Universidade do Minho.
  4. Sarno, Lucio & Giorgio Valente, 2002. "Modelling and Forecasting Stock Returns: Exploiting the Futures Market, Regime Shifts and International Spillovers," Royal Economic Society Annual Conference 2002 160, Royal Economic Society.
  5. Vasco J. Gabriel & Martin Sola & Zacharias Psaradakis, 2001. "A simple method for testing cointegration subject to regime changes," NIPE Working Papers 15/2001, NIPE - Universidade do Minho.
  6. Clarida, Richard & Sarno, Lucio & Taylor, Mark P & Valente, Giorgio, 2005. "The Role of Asymmetries and Regime Shifts in the Term Structure of Interest Rates," CEPR Discussion Papers 4835, C.E.P.R. Discussion Papers.
  7. Peter Tillmann, 2004. "Cointegration and Regime-Switching Risk Premia in the US Term Structure of Interest Rates," Econometric Society 2004 North American Summer Meetings 26, Econometric Society.
  8. Alizadeh, Amir H. & Nomikos, Nikos K. & Pouliasis, Panos K., 2008. "A Markov regime switching approach for hedging energy commodities," Journal of Banking & Finance, Elsevier, vol. 32(9), pages 1970-1983, September.
  9. Clarida, Richard & Sarno, Lucio & Taylor, Mark P & Valente, Giorgio, 2002. "The Out-of-Sample Success of Term Structure Models as Exchange Rate Predictors: A Step Beyond," CEPR Discussion Papers 3281, C.E.P.R. Discussion Papers.
  10. Lucio Sarno & Giorgio Valente & Mark E. Wohar, 2004. "Monetary Fundamentals and Exchange Rate Dynamics under Different Nominal Regimes," Economic Inquiry, Western Economic Association International, vol. 42(2), pages 179-193, April.
  11. Massimiliano Marcellino & Grayham E. Mizon, . "Modelling shifts in the wage-price and unemployment-inflation relationships in Italy, Poland, and the UK," Working Papers 145, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  12. Maximo Camacho, 2002. "Nonlinear stochastic trends and economic fluctuations," Computing in Economics and Finance 2002 274, Society for Computational Economics.
  13. PeterTillmann, 2004. "Cointegration and Regime-Switching Risk Premia in the U.S. Term Structure of Interest Rates," Computing in Economics and Finance 2004 53, Society for Computational Economics.

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