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New Improved Tests for Cointegration with Structural Breaks

This paper proposes Lagrange multiplier based tests for the null hypothesis of no cointegration. The tests are general enough to allow for heteroskedastic and serially correlated errors, deterministic trends, and a structural break of unknown timing in both the intercept and slope. The limiting distributions of the test statistics are derived, and are found to be invariant not only with respect to trend and structural break, but also with respect to the regressors. A small Monte Carlo study is also con- ducted to investigate the small-sample properties of the tests. The results reveal that the tests have small size distortions and good power relative to other tests.

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Paper provided by Lund University, Department of Economics in its series Working Papers with number 2006:3.

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Length: 40 pages
Date of creation: 14 Jan 2006
Date of revision:
Publication status: Published in Journal of Time Series Analysis, 2007, pages 188-224.
Handle: RePEc:hhs:lunewp:2006_003
Contact details of provider: Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund,Sweden
Phone: +46 +46 222 0000
Fax: +46 +46 2224613
Web page:

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  1. repec:cep:stiecm:/1998/365 is not listed on IDEAS
  2. Gregory, A.W. & Hansen, B.E., 1992. "Residual-Based Tests for Cointegration in Models with Regime Shifts," RCER Working Papers 335, University of Rochester - Center for Economic Research (RCER).
  3. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Technical Working Papers 0100, National Bureau of Economic Research, Inc.
  4. Nunes, Luis C & Newbold, Paul & Kuan, Chung-Ming, 1997. "Testing for Unit Roots with Breaks: Evidence on the Great Crash and the Unit Root Hypothesis Reconsidered," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(4), pages 435-48, November.
  5. Lee, Junsoo & Strazicich, Mark C, 2001. " Break Point Estimation and Spurious Rejections with Endogenous Unit Root Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 63(5), pages 535-58, December.
  6. Josep Lluís Carrion-i-Silvestre & Andreu Sansó, 2005. "Testing the Null of Cointegration with Structural Breaks," DEA Working Papers 10, Universitat de les Illes Balears, Departament d'Economía Aplicada.
  7. Bai, Jushan, 1997. "Estimating Multiple Breaks One at a Time," Econometric Theory, Cambridge University Press, vol. 13(03), pages 315-352, June.
  8. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
  9. Amsler, Christine & Lee, Junsoo, 1995. "An LM Test for a Unit Root in the Presence of a Structural Change," Econometric Theory, Cambridge University Press, vol. 11(02), pages 359-368, February.
  10. Schmidt, Peter & Phillips, C B Peter, 1992. "LM Tests for a Unit Root in the Presence of Deterministic Trends," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 257-87, August.
  11. repec:cup:etheor:v:13:y:1997:i:3:p:315-52 is not listed on IDEAS
  12. Haug, A.A., 1992. "Tests for Cointegration: A Monte Carlo Comparison," Papers 93-2, York (Canada) - Department of Economics.
  13. Schmidt, Peter & Lee, Junsoo, 1991. "A modification of the Schmidt-Phillips unit root test," Economics Letters, Elsevier, vol. 36(3), pages 285-289, July.
  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. Eric Zivot & Donald W.K. Andrews, 1990. "Further Evidence on the Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Cowles Foundation Discussion Papers 944, Cowles Foundation for Research in Economics, Yale University.
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