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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.

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File URL: http://www.bus.indiana.edu/riharbau/RePEc/iuk/wpaper/bepp2006-14-kang.pdf
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Paper provided by Indiana University, Kelley School of Business, Department of Business Economics and Public Policy in its series Working Papers with number 2006-14.

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Date of creation: 2006
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Handle: RePEc:iuk:wpaper:2006-14

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Keywords: Deterministic trend; Foreign exchange rates; Monte Carlo study; Stochastic trend;

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  1. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March.
  2. 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 185-98, May.
  3. Nelson, Charles R & Kang, Heejoon, 1981. "Spurious Periodicity in Inappropriately Detrended Time Series," Econometrica, Econometric Society, vol. 49(3), pages 741-51, May.
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  9. 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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  12. 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.
  13. 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.
  14. Craig S. Hakkio & Mark Rush, 1987. "Market efficiency and cointegration," Research Working Paper 87-05, Federal Reserve Bank of Kansas City.
  15. 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.
  16. 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.
  17. 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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