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Inappropriate Detrending and Spurious Cointegration


  • Heejoon Kang


The empirical literature is abundant with detrended cointegration, where cointegration relations are estimated with deterministic trend terms. The use of detrended cointegration will mask important time series properties, however, because trend and cointegration indicate both deterministic and stochastic common trends. Cointegration with and without detrending shows markedly different implications on their long-run relations. A series of Monte Carlo experiments show that inappropriately detrended time series often exhibit cointegration although time series are designed to contain no cointegration. That is, inappropriately detrended time series tend to show spurious cointegration. Foreign exchange rates are analyzed to show the relevance and importance of the inappropriate detrended in cointegration analysis

Suggested Citation

  • Heejoon Kang, 2004. "Inappropriate Detrending and Spurious Cointegration," Econometric Society 2004 Far Eastern Meetings 624, Econometric Society.
  • Handle: RePEc:ecm:feam04:624

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    References listed on IDEAS

    1. Nelson, Charles R & Kang, Heejoon, 1981. "Spurious Periodicity in Inappropriately Detrended Time Series," Econometrica, Econometric Society, vol. 49(3), pages 741-751, May.
    2. repec:bla:restud:v:57:y:1990:i:1:p:99-125 is not listed on IDEAS
    3. Johansen, Soren & Juselius, Katarina, 1990. "Maximum Likelihood Estimation and Inference on Cointegration--With Applications to the Demand for Money," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 52(2), pages 169-210, May.
    4. 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.
    5. Sephton, Peter S. & Larsen, Hans K., 1991. "Tests of exchange market efficiency: fragile evidence from cointegration tests," Journal of International Money and Finance, Elsevier, vol. 10(4), pages 561-570, December.
    6. Harvey, A C & Jaeger, A, 1993. "Detrending, Stylized Facts and the Business Cycle," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(3), pages 231-247, July-Sept.
    7. Cushman, David O. & Sang Sub Lee & Thorgeirsson, Thorsteinn, 1996. "Maximum likelihood estimation of cointegration in exchange rate models for seven inflationary OECD countries," Journal of International Money and Finance, Elsevier, vol. 15(3), pages 337-368, June.
    8. Perron, Pierre & Rodriguez, Gabriel, 2003. "GLS detrending, efficient unit root tests and structural change," Journal of Econometrics, Elsevier, vol. 115(1), pages 1-27, July.
    9. Rapp, Tammy A. & Sharma, Subhash C., 1999. "Exchange rate market efficiency: across and within countries," Journal of Economics and Business, Elsevier, vol. 51(5), pages 423-439, September.
    10. Nelson, Charles R., 1988. "Spurious trend and cycle in the state space decomposition of a time series with a unit root," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 475-488.
    11. Copeland, Laurence S, 1991. "Cointegration Tests with Daily Exchange Rate Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 53(2), pages 185-198, May.
    12. Hassler, Uwe, 2000. " Cointegration Testing in Single Error-Correction Equations in the Presence of Linear Time Trends," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 62(5), pages 621-632, December.
    13. Nelson, Charles R & Kang, Heejoon, 1984. "Pitfalls in the Use of Time as an Explanatory Variable in Regression," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(1), pages 73-82, January.
    14. 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.
    15. Gonzalo, Jesus & Lee, Tae-Hwy, 1998. "Pitfalls in testing for long run relationships," Journal of Econometrics, Elsevier, vol. 86(1), pages 129-154, June.
    16. Perron, Pierre & Rodriguez, Gabriel, 2003. "GLS detrending, efficient unit root tests and structural change," Journal of Econometrics, Elsevier, vol. 115(1), pages 1-27, July.
    17. 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.
    18. Granger, Clive W J, 1986. "Developments in the Study of Cointegrated Economic Variables," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 213-228, August.
    19. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    20. Craig S. Hakkio & Mark Rush, 1987. "Market efficiency and cointegration," Research Working Paper 87-05, Federal Reserve Bank of Kansas City.
    21. Ohanian, Lee E., 1988. "The spurious effects of unit roots on vector autoregressions : A Monte Carlo study," Journal of Econometrics, Elsevier, vol. 39(3), pages 251-266, November.
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    More about this item


    Determistic trend; stochastic trend; foreign exchange rates; Monte Carlo study;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation


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