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The Effects of Ignoring Level Shifts on Systems Cointegration Tests

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  • Carsten Trenkler*

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Abstract

In this paper I analyse the effects of ignoring level shifts in the data generating process (DGP) on systems cointegration tests that do not accommodate level shifts. I consider two groups of Likelihood Ratio tests based on procedures suggested by Johansen (1988, 1995) and Saikkonen & Lütkepohl (2000b). The Monte Carlo analysis reveals that ignoring level shifts reduces the tests' sizes to zero and causes an important drop in the small sample power for increasing shift magnitudes. These observations are also reflected in two empirical applications in such a way that the tests find a cointegrating rank smaller than one suggested by procedures which accommodate the shifts. --

(This abstract was borrowed from another version of this item.)

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File URL: http://hdl.handle.net/10.1007/s10182-005-0205-x
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Bibliographic Info

Article provided by Springer in its journal Allgemeines Statistisches Archiv.

Volume (Year): 89 (2005)
Issue (Month): 3 (August)
Pages: 281-301

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Handle: RePEc:spr:alstar:v:89:y:2005:i:3:p:281-301

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Related research

Keywords: Cointegration; Level shift; Monte Carlo study; JEL C32; C15;

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References

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  1. Bent Nielsen, 2000. "Cointegration Analysis in the Presence of Structural Breaks in the Deterministic Trend," Econometric Society World Congress 2000 Contributed Papers 1494, Econometric Society.
  2. Helmut Luetkepohl & Pentti Saikkonen & Carsten Trenkler, 2000. "Comparison of Tests for the Cointegrating Rank of a VAR Process with a Structural Shift," Econometric Society World Congress 2000 Contributed Papers 0364, Econometric Society.
  3. 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.
  4. Lutkepohl, Helmut & Saikkonen, Pentti, 2000. "Testing for the cointegrating rank of a VAR process with a time trend," Journal of Econometrics, Elsevier, vol. 95(1), pages 177-198, March.
  5. Johansen, S., 1991. "Determination of Cointegration Rank in the Presence of a Linear Trend," Papers 76a, Helsinki - Department of Economics.
  6. Inoue, Atsushi, 1999. "Tests of cointegrating rank with a trend-break," Journal of Econometrics, Elsevier, vol. 90(2), pages 215-237, June.
  7. 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.
  8. Kirstin Hubrich & Helmut Lutkepohl & Pentti Saikkonen, 2001. "A Review Of Systems Cointegration Tests," Econometric Reviews, Taylor & Francis Journals, vol. 20(3), pages 247-318.
  9. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
  10. Jurgen A. Doornik & David F. Hendry & Bent Nielsen, 1998. "Inference in Cointegrating Models: UK M1 Revisited," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 533-572, December.
  11. Perron, P, 1988. "The Great Crash, The Oil Price Shock And The Unit Root Hypothesis," Papers 338, Princeton, Department of Economics - Econometric Research Program.
  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. Lütkepohl, Helmut & Saikkonen, Pentti & Trenkler, Carsten, 2000. "Maximum eigenvalue versus trace tests for the cointegrating rank of a VAR process," SFB 373 Discussion Papers 2000,83, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  14. 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.
  15. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
  16. Saikkonen, Pentti & Lutkepohl, Helmut, 2000. "Testing for the Cointegrating Rank of a VAR Process with Structural Shifts," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(4), pages 451-64, October.
  17. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-62, April.
  18. Allan w. Gregory & Bruce E. Hansen, 1992. "residual-Based Tests for Cointegration in Models with Regime Shifts," Working Papers 862, Queen's University, Department of Economics.
  19. Perron, Pierre & Campbell, John Y, 1993. "A Note on Johansen's Cointegration Procedure When Trends Are Present," Empirical Economics, Springer, vol. 18(4), pages 777-89.
  20. Julia Campos & Neil R. Ericsson & David F. Hendry, 1993. "Cointegration tests in the presence of structural breaks," International Finance Discussion Papers 440, Board of Governors of the Federal Reserve System (U.S.).
  21. Toda, Hiro Y., 1995. "Finite Sample Performance of Likelihood Ratio Tests for Cointegrating Ranks in Vector Autoregressions," Econometric Theory, Cambridge University Press, vol. 11(05), pages 1015-1032, October.
  22. Toda, Hiro Y, 1994. "Finite Sample Properties of Likelihood Ratio Tests for Cointegrating Ranks when Linear Trends are Present," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 66-79, February.
  23. Trenkler, Carsten, 2000. "The Polish crawling peg system: A cointegration analysis," SFB 373 Discussion Papers 2000,71, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
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Cited by:
  1. Migiakis, Petros M. & Bekiris, Fivos V., 2009. "Regime switches between dividend and bond yields," International Review of Financial Analysis, Elsevier, vol. 18(4), pages 198-204, September.

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