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Testing for the Null Hypothesis of Cointegration with a Structural Break

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  • Yoichi Arai
  • Eiji Kurozumi

Abstract

In this paper we propose residual-based tests for the null hypothesis of cointegration with a structural break against the alternative of no cointegration. The Lagrange Multiplier (LM) test is proposed and its limiting distribution is obtained for the case in which the timing of a structural break is known. Then the test statistic is extended to deal with a structural break of unknown timing. The test statistic, a plug-in version of the test statistic for known timing, replaces the true break point by the estimated one. We show the limiting properties of the test statistic under the null as well as the alternative. Critical values are calculated for the tests by simulation methods. Finite-sample simulations show that the empirical size of the test is close to the nominal one unless the regression error is very persistent and that the test rejects the null when no cointegrating relationship with a structural break is present. We provide empirical examples based on the present-value model, the term structure model, and the money-output relationship model.

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Bibliographic Info

Article provided by Taylor & Francis Journals in its journal Econometric Reviews.

Volume (Year): 26 (2007)
Issue (Month): 6 ()
Pages: 705-739

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Handle: RePEc:taf:emetrv:v:26:y:2007:i:6:p:705-739

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Related research

Keywords: Cointegration; Integrated time series; No cointegration; Structural break;

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Cited by:
  1. Emilio Congregado & Vicente Esteve & Antonio A. Golpe, 2013. "From complements to substitutes: Structural breaks in the elasticity of substitution between paidemployment and self-employment in the US," Working Papers 09/13, Instituto Universitario de Análisis Económico y Social.
  2. Lindback, Morten & Osmundsen, Petter & Øglend, Atle, 2013. "Shale Gas and the Relationship between U.S. Natural Gas, Liquified Petroleum Gases and Oil Market," UiS Working Papers in Economics and Finance 2013/5, University of Stavanger.
  3. Travaglini, Guido, 2007. "The U.S. Dynamic Taylor Rule With Multiple Breaks, 1984-2001," MPRA Paper 3419, University Library of Munich, Germany, revised 15 Jun 2007.
  4. Saten Kumar & Don J. Webber & Scott Fargher, 2011. "Money demand stability: A case study of Nigeria," Working Papers 2011-02, Auckland University of Technology, Department of Economics.
  5. Richard Crump & Gopi Shah Goda & Kevin Mumford, 2010. "Fertility and the Personal Exemption: Comment," NBER Working Papers 15984, National Bureau of Economic Research, Inc.
  6. Vicente Esteve & Manuel Navarro-Ibáñez & María A. Prats, 2013. "The present value model of U.S. stock prices revisited: long-run evidence with structural breaks, 1871-2010," Working Papers 1305, Department of Applied Economics II, Universidad de Valencia.
  7. Alexander Ludwig, 2013. "Testing the null of cointegration with a structural break: optimal kernel and bandwidth selection," Economics Bulletin, AccessEcon, vol. 33(4), pages 2828-2839.
  8. Víctor-Hugo Alcalá Ríos & Manuel Gómez Zaldívar & Daniel Ventosa-Santaulària, 2011. "Paradoja Feldstein-Horioka: el caso de México (1950-2007)," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 26(2), pages 293-313.
  9. Antonio E. Noriega & Daniel Ventosa-Santaularia, 2012. "The effect of structural breaks on the Engle-Granger test for cointegration," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 27(1), pages 99-132.
  10. Antonio Paradiso & Saten Kumar & B. Bhaskara Rao, 2011. "The Growth Effects of Education in Australia," Working Papers 2011-05, Auckland University of Technology, Department of Economics.
  11. Lopcu, Kenan & Dülger, Fikret & Burgaç, Almıla, 2013. "Relative productivity increases and the appreciation of the Turkish lira," Economic Modelling, Elsevier, vol. 35(C), pages 614-621.
  12. Dülger, Fikret & Lopcu, Kenan & Burgaç, Almıla & Ballı, Esra, 2013. "Is Russia suffering from Dutch Disease? Cointegration with structural break," Resources Policy, Elsevier, vol. 38(4), pages 605-612.
  13. Esteve, Vicente & Tamarit, Cecilio, 2012. "Is there an environmental Kuznets curve for Spain? Fresh evidence from old data," Economic Modelling, Elsevier, vol. 29(6), pages 2696-2703.
  14. Maki, Daiki, 2012. "Tests for cointegration allowing for an unknown number of breaks," Economic Modelling, Elsevier, vol. 29(5), pages 2011-2015.

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