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Finding Cointegration Rank in High Dimensional Systems Using the Johansen Test: An Illustration Using Data Based Monte Carlo Simulations


  • Ho, Mun S
  • Sorensen, Bent E


The authors examine the ability of the Johansen (1991) test to estimate the number of unit roots in high dimensional systems. They use data based Monte Carlo methods as a simple means of evaluating the validity of inference using asymptotic critical values. These simulations for a typical annual post-World War II dataset illustrate how the estimated number of unit roots change in a nonmonotone fashion with the dimension of the system, and with the number of lags in the VAR representation. The authors find that overparametrization in high dimensions is as bad as underparametrization. The Bayes information criteria outperforms the Akaike information criteria in their setup. Copyright 1996 by MIT Press.

Suggested Citation

  • Ho, Mun S & Sorensen, Bent E, 1996. "Finding Cointegration Rank in High Dimensional Systems Using the Johansen Test: An Illustration Using Data Based Monte Carlo Simulations," The Review of Economics and Statistics, MIT Press, vol. 78(4), pages 726-732, November.
  • Handle: RePEc:tpr:restat:v:78:y:1996:i:4:p:726-32

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    References listed on IDEAS

    1. Jacobson, Tor & Vredin, Anders & Warne, Anders, 1998. "Are Real Wages and Unemployment Related?," Economica, London School of Economics and Political Science, vol. 65(257), pages 69-96, February.
    2. Baillie, Richard T & Bollerslev, Tim, 1989. " Common Stochastic Trends in a System of Exchange Rates," Journal of Finance, American Finance Association, vol. 44(1), pages 167-181, March.
    3. Johansen, Soren, 1992. "Determination of Cointegration Rank in the Presence of a Linear Trend," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 383-397, August.
    4. GONZALO, Jesus & PITARAKIS, Jean-Yves, 1994. "Comovements in Large Systems," CORE Discussion Papers 1994065, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Haug, Alfred A., 1996. "Tests for cointegration a Monte Carlo comparison," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 89-115.
    6. Bewley, Ronald & Yang, Minxian, 1995. "Testing for cointegration: the effects of mis-specifying the lag length," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 39(3), pages 251-255.
    7. Osterwald-Lenum, Michael, 1992. "A Note with Quantiles of the Asymptotic Distribution of the Maximum Likelihood Cointegration Rank Test Statistics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 461-472, August.
    8. Cheung, Yin-Wong & Lai, Kon S, 1993. "Finite-Sample Sizes of Johansen's Likelihood Ration Tests for Conintegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 55(3), pages 313-328, August.
    9. Podivinsky, Jan M., 1998. "Testing misspecified cointegrating relationships," Economics Letters, Elsevier, vol. 60(1), pages 1-9, July.
    10. Diebold, Francis X & Gardeazabal, Javier & Yilmaz, Kamil, 1994. " On Cointegration and Exchange Rate Dynamics," Journal of Finance, American Finance Association, vol. 49(2), pages 727-735, June.
    11. Boswijk, Peter & Franses, Philip Hans, 1992. "Dynamic Specification and Cointegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 369-381, August.
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    3. Jesus Gonzalo & Jean-Yves Pitarakis, 2001. "Lag Length Estimation in Large Dimensional Systems," Econometrics 0108002, EconWPA.
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    8. Haug, Alfred A., 1999. "Testing linear restrictions on cointegration vectors: Sizes and powers of Wald tests in finite samples," Technical Reports 1999,04, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    9. Fukuda, Kosei, 2007. "Joint detection of unit roots and cointegration: Data-based simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(1), pages 28-36.
    10. Chaban, Maxym, 2011. "Home bias, distribution services and determinants of real exchange rates," Journal of Macroeconomics, Elsevier, vol. 33(4), pages 793-806.
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    13. Assenmacher-Wesche, K. & Pesaran, M.H., 2008. "A VECX* Model of the Swiss Economy," Cambridge Working Papers in Economics 0809, Faculty of Economics, University of Cambridge.
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    20. Alexei Onatski & Chen Wang, 2016. "Alternative Asymptotics for Cointegration Tests in Large VARs," Cambridge Working Papers in Economics 1637, Faculty of Economics, University of Cambridge.
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    22. J Pentecost Eric & Ramlogan Carlyn, 2000. "The Savings Ratio and Financial Repression in Trinidad and Tobago," International Economic Journal, Taylor & Francis Journals, vol. 14(2), pages 67-84.
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    25. Mehrotra, Shiv N. & Kant, Shashi, 2009. "Use of composite forest commodity price indices for cointegration analysis," Journal of Forest Economics, Elsevier, vol. 15(4), pages 237-260, December.

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