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The Properties of Cointegration Tests in Models with Structural Change

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Author Info
Vasco J. Gabriel () (Universidade do Minho - NIPE, Birkbeck College, University of London)
Luis F. Martins () (Instituto Superior de Ciências do Trabalho e da Empresa, UNIDE)

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Abstract

In this paper we examine, by means of Monte Carlo simulation, the properties of several cointegration tests when long run parameters are subject to structural changes. We allow for different types of stochastic and deterministic regime shifts, more specifically, changes governed by Markov chains, martingale parameter variation, sudden multiple breaks and gradual changes. Our Monte Carlo analysis reveals that tests with cointegration as the null hypothesis perform badly, while tests with the null of no cointegration retain much of their usefulness in this context.

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Paper provided by NIPE - Universidade do Minho in its series NIPE Working Papers with number 1/2000.

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Date of creation: 2000
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Handle: RePEc:nip:nipewp:1/2000

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Postal: Núcleo de Investigação em Políticas Económicas, Escola de Economia e Gestão, Universidade do Minho, P-4710-057 Braga, Portugal
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Related research
Keywords: Structural change; Cointegration; Tests; Monte Carlo;

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Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation and Testing

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  1. 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.
    Other versions:
  2. Hans-Martin Krolzig, 1999. "Statistical Analysis of Cointegrated VAR Processes with Markovian Regime Shifts," Computing in Economics and Finance 1999 1113, Society for Computational Economics.
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  3. Hendry, David F., 2000. "On detectable and non-detectable structural change," Structural Change and Economic Dynamics, Elsevier, vol. 11(1-2), pages 45-65, July. [Downloadable!] (restricted)
  4. Peter Reinhard Hansen, 2000. "Structural Breaks in the Cointegrated Vector Autoregressive Model," Econometric Society World Congress 2000 Contributed Papers 1240, Econometric Society. [Downloadable!]
  5. James MacKinnon, 1990. "Critical Values for Cointegration Tests," University of California at San Diego, Economics Working Paper Series 90-4, Department of Economics, UC San Diego. [Downloadable!]
  6. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, vol. 58(1), pages 165-93, January. [Downloadable!] (restricted)
    Other versions:
  7. Andrews, Donald W. K. & Lee, Inpyo & Ploberger, Werner, 1996. "Optimal changepoint tests for normal linear regression," Journal of Econometrics, Elsevier, vol. 70(1), pages 9-38, January. [Downloadable!] (restricted)
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  8. Andrews, Donald W K & Monahan, J Christopher, 1992. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Econometrica, Econometric Society, vol. 60(4), pages 953-66, July. [Downloadable!] (restricted)
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  9. Campos, Julia & Ericsson, Neil R. & Hendry, David F., 1996. "Cointegration tests in the presence of structural breaks," Journal of Econometrics, Elsevier, vol. 70(1), pages 187-220, January. [Downloadable!] (restricted)
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  10. repec:cup:etheor:v:10:y:1994:i:1:p:95-115 is not listed on IDEAS
  11. Hao, K., 1996. "Testing for Structural Change in Cointegrated Regression Models: Some Comparisons and Generalizations," Monash Econometrics and Business Statistics Working Papers 3/96, Monash University, Department of Econometrics and Business Statistics.
  12. Kang Hao, 1996. "Testing for structural change in cointegrated regression models: some comparisons and generalizations," Econometric Reviews, Taylor and Francis Journals, vol. 15(4), pages 401-429. [Downloadable!] (restricted)
  13. Shin, Yongcheol, 1994. "A Residual-Based Test of the Null of Cointegration Against the Alternative of No Cointegration," Econometric Theory, Cambridge University Press, vol. 10(01), pages 91-115, March. [Downloadable!]
  14. 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. [Downloadable!] (restricted)
    Other versions:
  15. Hall, Stephen G & Psaradakis, Zacharias & Sola, Martin, 1997. "Cointegration and Changes in Regime: The Japanese Consumption Function," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(2), pages 151-68, March-Apr. [Downloadable!]
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