IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-13-00369.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2014/Volume34/EB-14-V34-I1-P2.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Garcia Pascual, Antonio, 2003. "Assessing European stock markets (co)integration," Economics Letters, Elsevier, vol. 78(2), pages 197-203, February.
    8. 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.
    9. 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.
    10. Swanson, Norman R., 1998. "Money and output viewed through a rolling window," Journal of Monetary Economics, Elsevier, vol. 41(3), pages 455-474, May.
    11. repec:bla:jecsur:v:12:y:1998:i:5:p:573-93 is not listed on IDEAS
    12. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chien, Mei-Se & Lee, Chien-Chiang & Hu, Te-Chung & Hu, Hui-Ting, 2015. "Dynamic Asian stock market convergence: Evidence from dynamic cointegration analysis among China and ASEAN-5," Economic Modelling, Elsevier, vol. 51(C), pages 84-98.
    2. Yanhua Chen & Rosario N Mantegna & Athanasios A Pantelous & Konstantin M Zuev, 2018. "A dynamic analysis of S&P 500, FTSE 100 and EURO STOXX 50 indices under different exchange rates," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-40, March.
    3. Papież, Monika & Śmiech, Sławomir, 2015. "Dynamic steam coal market integration: Evidence from rolling cointegration analysis," Energy Economics, Elsevier, vol. 51(C), pages 510-520.
    4. Chen, Yanhua & Li, Youwei & Pantelous, Athanasios A. & Stanley, H. Eugene, 2022. "Short-run disequilibrium adjustment and long-run equilibrium in the international stock markets: A network-based approach," International Review of Financial Analysis, Elsevier, vol. 79(C).
    5. 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.
    6. Solarin Sakiru Adebola & Jauhari Dahalan, 2012. "An Empirical Analysis of Stock Markets Integration in Selected African Countries," EuroEconomica, Danubius University of Galati, issue 2(31), pages 166-177, May.
    7. Narayan, Paresh Kumar & Mishra, Sagarika & Narayan, Seema, 2011. "Do market capitalization and stocks traded converge? New global evidence," Journal of Banking & Finance, Elsevier, vol. 35(10), pages 2771-2781, October.
    8. Campos, Julia & Ericsson, Neil R. & Hendry, David F., 1996. "Cointegration tests in the presence of structural breaks," Journal of Econometrics, Elsevier, vol. 70(1), pages 187-220, January.
    9. Utku Utkulu & Durmus Özdemir, 2005. "Does Trade Liberalization Cause a Long Run Economic Growth in Turkey," Economic Change and Restructuring, Springer, vol. 37(3), pages 245-266, September.
    10. Tang, Chor Foon, 2011. "Tourism, real output and real effective exchange rate in Malaysia: a view from rolling sub-samples," MPRA Paper 29379, University Library of Munich, Germany.
    11. Utku Utkulu & Dilek Seymen, 2004. "Trade and Competitiveness Between Turkey and the EU: Time Series Evidence," Working Papers 2004/8, Turkish Economic Association, revised Mar 2004.
    12. Hung, Ying-Shu & Lee, Chingnun & Chen, Pei-Fen, 2022. "China’s monetary policy and global stock markets: A new cointegration approach with smoothing structural changes," Economic Analysis and Policy, Elsevier, vol. 76(C), pages 643-666.
    13. Alexander Ludwig, 2013. "Testing the null of cointegration with a structural break: optimal kernel and bandwidth selection," Economics Bulletin, AccessEcon, vol. 33(4), pages 2828-2839.
    14. Schweikert, Karsten, 2018. "Testing for cointegration with threshold adjustment in the presence of structural breaks," Hohenheim Discussion Papers in Business, Economics and Social Sciences 07-2018, University of Hohenheim, Faculty of Business, Economics and Social Sciences.
    15. Christian Pierdzioch & Renatas Kizys, 2013. "On the Linkages of the Stock Markets of the NAFTA Countries: Fundamentals or Speculative Bubbles?," International Economic Journal, Taylor & Francis Journals, vol. 27(3), pages 415-440, September.
    16. Holmes, Mark J. & Iregui, Ana María & Otero, Jesús, 2019. "Interest rate convergence across maturities: Evidence from bank data in an emerging market economy," The North American Journal of Economics and Finance, Elsevier, vol. 49(C), pages 57-70.
    17. Steven Cook, 2004. "Spurious rejection by cointegration tests incorporating structural change in the cointegrating relationship," Applied Economics Letters, Taylor & Francis Journals, vol. 11(14), pages 879-884.
    18. Melo, Patricia C. & Sobreira, Nuno & Goulart, Pedro, 2019. "Estimating the long-run metro demand elasticities for Lisbon: A time-varying approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 126(C), pages 360-376.
    19. Guidi, Francesco & Ugur, Mehmet, 2014. "An analysis of South-Eastern European stock markets: Evidence on cointegration and portfolio diversification benefits," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 30(C), pages 119-136.
    20. Aladesanmi, Olalekan & Casalin, Fabrizio & Metcalf, Hugh, 2019. "Stock market integration between the UK and the US: Evidence over eight decades," Global Finance Journal, Elsevier, vol. 41(C), pages 32-43.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ebl:ecbull:eb-13-00369. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: John P. Conley (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.