Inappropriate Detrending and Spurious Cointegration
AbstractThe 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
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Bibliographic InfoPaper provided by Econometric Society in its series Econometric Society 2004 Far Eastern Meetings with number 624.
Date of creation: 11 Aug 2004
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Determistic trend; stochastic trend; foreign exchange rates; Monte Carlo study;
Other versions of this item:
- 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.
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull 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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- Nelson, Charles R & Kang, Heejoon, 1979.
"Spurious Periodicity in Inappropriately Detrended Time Series,"
The Warwick Economics Research Paper Series (TWERPS)
161, University of Warwick, Department of Economics.
- Nelson, Charles R & Kang, Heejoon, 1981. "Spurious Periodicity in Inappropriately Detrended Time Series," Econometrica, Econometric Society, vol. 49(3), pages 741-51, May.
- 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.
- Tom Doan, . "POTESTRESIDS: RATS procedure to perform Phillips-Ouliaris-Hansen test for Cointegration on 1st stage residuals," Statistical Software Components RTS00248, Boston College Department of Economics.
- Tom Doan, . "POTEST: RATS procedure to perform Phillips-Ouliaris-Hansen test for Cointegration," Statistical Software Components RTS00247, Boston College Department of Economics.
- Tom Doan, . "FM: RATS procedure to estimate cointegrating vectors using Fully Modified Least Squares," Statistical Software Components RTS00069, Boston College Department of Economics.
- 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.
- 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.
- 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 621-32, December.
- Charles R. Nelson & Heejoon Kang, 1983.
"Pitfalls in the use of Time as an Explanatory Variable in Regression,"
NBER Technical Working Papers
0030, National Bureau of Economic Research, Inc.
- 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.
- 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.
- Diebold, Francis X & Gardeazabal, Javier & Yilmaz, Kamil, 1994.
" On Cointegration and Exchange Rate Dynamics,"
Journal of Finance,
American Finance Association, vol. 49(2), pages 727-35, June.
- 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.
- Tom Doan, . "GLSDETREND: RATS procedure to perform local to unity GLS detrending," Statistical Software Components RTS00077, Boston College Department of Economics.
- PERRON, Pierre & RODRIGUEZ, Gabriel, 1998. "GLS Detrending, Efficient Unit Root Tests and Structural Change," Cahiers de recherche 9809, Universite de Montreal, Departement de sciences economiques.
- Tom Doan, . "PERRONRODRIGUEZ: RATS procedure to perform Perron-Rodriguez unit root test allowing for break at unknown date," Statistical Software Components RTS00156, Boston College Department of Economics.
- Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November.
- Gonzalo, Jesus & Lee, Tae-Hwy, 1998.
"Pitfalls in testing for long run relationships,"
Journal of Econometrics,
Elsevier, vol. 86(1), pages 129-154, June.
- 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.
- Craig S. Hakkio & Mark Rush, 1987. "Market efficiency and cointegration," Research Working Paper 87-05, Federal Reserve Bank of Kansas City.
- 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.
- 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.
- Charles R. Nelson, 1987. "Spurious Trend and Cycle in the State Space Decomposition of a Time Series with a Unit Root," NBER Technical Working Papers 0063, National Bureau of Economic Research, Inc.
- 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.
- 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 231-47, July-Sept.
- 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.
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