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The effect of structural breaks on the Engle-Granger test for cointegration

Author

Listed:
  • Antonio E. Noriega

    (Banco de México and Universidad de Guanajuato)

  • Daniel Ventosa-Santaularia

    (Universidad de Guanajuato)

Abstract

This paper extends Gonzalo and Lee's (1998) results by studying the asymptotic and finite sample behavior of the Engle-Granger test for cointegration, under misspecification of the trend function in the form of neglected structural breaks. We allow breaks in level and slope of trend in both dependent and explanatory variables. We also allow these processes to interact with I (1) processes without breaks. In some cases, breaks bias the EG test towards both rejecting a true cointegration relation, and not rejecting a non-existent one. Using real data, we present an empirical illustration of the theoretical results.

Suggested Citation

  • Antonio E. Noriega & Daniel Ventosa-Santaularia, 2012. "The effect of structural breaks on the Engle-Granger test for cointegration," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 27(1), pages 99-132.
  • Handle: RePEc:emx:esteco:v:27:y:2012:i:1:p:99-132
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    File URL: http://estudioseconomicos.colmex.mx/archivo/EstudiosEconomicos2012/99-132.pdf
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    References listed on IDEAS

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    1. Pantula, Sastry G., 1989. "Testing for Unit Roots in Time Series Data," Econometric Theory, Cambridge University Press, vol. 5(02), pages 256-271, August.
    2. 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.
    3. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
    4. Phillips, P.C.B., 1986. "Understanding spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 33(3), pages 311-340, December.
    5. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    6. Gonzalo, Jesus & Lee, Tae-Hwy, 1998. "Pitfalls in testing for long run relationships," Journal of Econometrics, Elsevier, vol. 86(1), pages 129-154, June.
    7. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    8. Ogaki, Masao & Park, Joon Y., 1997. "A cointegration approach to estimating preference parameters," Journal of Econometrics, Elsevier, vol. 82(1), pages 107-134.
    9. Antonio E. Noriega & Daniel Ventosa-Santaulària, 2006. "Spurious Regression Under Broken-Trend Stationarity," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(5), pages 671-684, September.
    10. 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.
    11. repec:bla:restud:v:57:y:1990:i:1:p:99-125 is not listed on IDEAS
    12. Gregory, Allan W. & Nason, James M. & Watt, David G., 1996. "Testing for structural breaks in cointegrated relationships," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 321-341.
    13. Inoue, Atsushi, 1999. "Tests of cointegrating rank with a trend-break," Journal of Econometrics, Elsevier, vol. 90(2), pages 215-237, June.
    14. Perron, Pierre & Zhu, Xiaokang, 2005. "Structural breaks with deterministic and stochastic trends," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 65-119.
    15. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, vol. 58(1), pages 165-193, January.
    16. Zivot, Eric & Andrews, Donald W K, 2002. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 25-44, January.
    17. Yoichi Arai & Eiji Kurozumi, 2007. "Testing for the Null Hypothesis of Cointegration with a Structural Break," Econometric Reviews, Taylor & Francis Journals, vol. 26(6), pages 705-739.
    18. Stephen Leybourne & Paul Newbold, 2003. "Spurious rejections by cointegration tests induced by structural breaks," Applied Economics, Taylor & Francis Journals, vol. 35(9), pages 1117-1121.
    19. Kellard, Neil, 2006. "On the robustness of cointegration tests when assessing market efficiency," Finance Research Letters, Elsevier, vol. 3(1), pages 57-64, March.
    20. 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.
    21. George Kapetanios, 2005. "Unit-root testing against the alternative hypothesis of up to m structural breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 26(1), pages 123-133, January.
    22. Hansen, Bruce E., 1992. "Efficient estimation and testing of cointegrating vectors in the presence of deterministic trends," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 87-121.
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    Cited by:

    1. Daniel Ventosa-santaulària & Manuel Gómez-zaldívar & Lizet A Pérez, 2013. "Long-run relationship with shifts between Mexican current account revenues and expenditures," Economics Bulletin, AccessEcon, vol. 33(2), pages 1317-1327.

    More about this item

    Keywords

    cointegration; structural breaks; integrated processes; Engle-Granger test;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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