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What results can we expect from rolling trace tests? A discussion based on the issue of stock market integration

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  • Alexander Ludwig

    (TU Dresden)

Abstract

This paper discusses pitfalls in the application of the rolling trace test. This procedure is based on the iterative calculation of Johansen's (1988) trace test for the rank of a cointegration system in windows of equal length that roll over the sample. Pitfalls lie in the selection of the window length and of the lag order for short-run coefficients as well as in the presence of stationary variables in some sub-periods. We give practical recommendations to solve these issues and demonstrate their implications when assessing the integration of four major European stock markets.

Suggested Citation

  • Alexander Ludwig, 2014. "What results can we expect from rolling trace tests? A discussion based on the issue of stock market integration," Economics Bulletin, AccessEcon, vol. 34(1), pages 16-24.
    • Handle: RePEc:ebl:ecbull:eb-13-00369
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    References listed on IDEAS

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    1. Yu, Ip-Wing & Fung, Kang-Por & Tam, Chi-Sang, 2010. "Assessing financial market integration in Asia - Equity markets," Journal of Banking & Finance, Elsevier, vol. 34(12), pages 2874-2885, December.
    2. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    3. Swanson, Norman R., 1998. "Money and output viewed through a rolling window," Journal of Monetary Economics, Elsevier, vol. 41(3), pages 455-474, May.
    4. Jurgen A. Doornik, 1998. "Approximations To The Asymptotic Distributions Of Cointegration Tests," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 573-593, December.
    5. Jurgen A. Doornik, 1998. "Approximations To The Asymptotic Distributions Of Cointegration Tests," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 573-593, December.
    6. Gregory, Allan W. & Hansen, Bruce E., 1996. "Residual-based tests for cointegration in models with regime shifts," Journal of Econometrics, Elsevier, vol. 70(1), pages 99-126, January.
    7. Brada, Josef C. & Kutan, Ali M. & Zhou, Su, 2005. "Real and monetary convergence between the European Union's core and recent member countries: A rolling cointegration approach," Journal of Banking & Finance, Elsevier, vol. 29(1), pages 249-270, January.
    8. Banerjee, Anindya, et al, 1986. "Exploring Equilibrium Relationships in Econometrics through Static Models: Some Monte Carlo Evidence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 253-277, August.
    9. Mylonidis, Nikolaos & Kollias, Christos, 2010. "Dynamic European stock market convergence: Evidence from rolling cointegration analysis in the first euro-decade," Journal of Banking & Finance, Elsevier, vol. 34(9), pages 2056-2064, September.
    10. Rangvid, Jesper & Sørensen, Carsten, 2000. "Convergence in the ERM and declining numbers of common stochastic trends," Working Papers 2000-8, Copenhagen Business School, Department of Finance.
    11. Garcia Pascual, Antonio, 2003. "Assessing European stock markets (co)integration," Economics Letters, Elsevier, vol. 78(2), pages 197-203, February.
    12. Peri, Massimo & Baldi, Lucia, 2013. "The effect of biofuel policies on feedstock market: Empirical evidence for rapeseed oil prices in EU," Resource and Energy Economics, Elsevier, vol. 35(1), pages 18-37.
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    More about this item

    Keywords

    rolling cointegration; rolling trace test; rolling unit root test; lag selection; window selection; stock market integration;
    All these keywords.

    JEL classification:

    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling

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