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Inappropriate Detrending and Spurious Cointegration

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  • Heejoon Kang

    (Department of Business Economics and Public Policy, Indiana University Kelley School of Business)

Abstract

The empirical literature is abundant with detrended cointegration, where cointegration relationships are tested and estimated with deterministic trend terms. Cointegration is, however, critically dependent on whether time series is detrended or not. A series of Monte Carlo experiments show that inappropriately detrended time series tend to exhibit a spurious cointegration. Although true time series are known not to be cointegrated, inappropriately detrended series tend to be cointegrated. Foreign exchange rates are analyzed to demonstrate the relevance and importance of the inappropriate detrending in the cointegration analysis.

Suggested Citation

  • Heejoon Kang, 2006. "Inappropriate Detrending and Spurious Cointegration," Working Papers 2006-14, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
  • Handle: RePEc:iuk:wpaper:2006-14
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    File URL: http://kelley.iu.edu/riharbau/RePEc/iuk/wpaper/bepp2006-14-kang.pdf
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    References listed on IDEAS

    as
    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Hakkio, Craig S. & Rush, Mark, 1989. "Market efficiency and cointegration: an application to the sterling and deutschemark exchange markets," Journal of International Money and Finance, Elsevier, vol. 8(1), pages 75-88, March.
    8. 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.
    9. 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.
    10. 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.
    11. Uwe Hassler, 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.
    12. 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.
    13. 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.
    14. Gonzalo, Jesus & Lee, Tae-Hwy, 1998. "Pitfalls in testing for long run relationships," Journal of Econometrics, Elsevier, vol. 86(1), pages 129-154, June.
    15. 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.
    16. John P. Lajaunie & Atsuyuki Naka, 1997. "Re‐examining Cointegration, Unit Roots and Efficiency in Foreign Exchange Rates," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 24(3), pages 363-374, April.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. John P. Lajaunie & Atsuyuki Naka, 1997. "Re-examining Cointegration, Unit Roots and Efficiency in Foreign Exchange Rates," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 24(3), pages 363-374.
    22. Craig S. Hakkio & Mark Rush, 1987. "Market efficiency and cointegration," Research Working Paper 87-05, Federal Reserve Bank of Kansas City.
    23. 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

    Keywords

    Deterministic trend; Foreign exchange rates; Monte Carlo study; Stochastic trend;
    All these keywords.

    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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