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Tests for cointegration with two unknown regime shifts with an application to financial market integration

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It is widely agreed in empirical studies that allowing for potential structural change in economic processes is an important issue. In existing literature, tests for cointegration between time series data allow for one regime shift. This paper extends three residual-based test statistics for cointegration to the cases that take into account two possible regime shifts. The timing of each shift is unknown a priori and it is determined endogenously. The distributions of the tests are non-standard. We generate new critical values via simulation methods. The size and power properties of these test statistics are evaluated through Monte Carlo simulations, which show the tests have small size distortions and very good power properties. The test methods introduced in this paper are applied to determine whether the financial markets in the US and the UK are integrated.

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  • Andrews DWK (1991) Heteroscedasticity and autocorrelation consistent covariance matrix estimation. Econometrica 59: 817–858

    Article  Google Scholar 

  • Andrews DWK, Monahan JC (1992) An improved heteroscedasticity and autocorrelation consistent covariance matrix estimator. Econometrica 60: 953–966

    Article  Google Scholar 

  • Bai J, Perron P (1998) Estimating and testing linear models with multiple structural changes. Econometrica 66(1): 47–78

    Article  Google Scholar 

  • Bai J, Perron P (2003) Computation and analysis of multiple structural change models. J Appl Econ 18(1): 1–22

    Article  Google Scholar 

  • Banerjee A, Dolado J, Hendry D, Smith G (1986) Exploring equilibrium relationships in econometrics through static models: some Monte Carlo evidence. Oxf Bull Econ Stat 48(3): 253–277

    Article  Google Scholar 

  • Banerjee A, Lumsdaine R, Stock J (1992) Recursive and sequential tests of the unit-root and trend-break hypothesis: theory and international evidence. J Bus Econ Stat 10: 271–287

    Article  Google Scholar 

  • Engle R, Granger C (1987) Cointegration and error correction: representation, estimation and testing. Econometrica 35: 251–276

    Article  Google Scholar 

  • Gregory AW, Hansen BE (1996) Residual-based tests for cointegration in models with regime shifts. J Economet 70: 99–126

    Article  Google Scholar 

  • Perron P (1989) The great crash, the oil price shock and the unit root hypothesis. Econometrica 57: 1361–1401

    Article  Google Scholar 

  • Phillips PCB (1987) Time series regression with a unit root. Econometrica 55: 277–301

    Article  Google Scholar 

  • Zivot E, Andrews DWK (1992) Further evidence on the great crash, the oil shock, and the unit-root hypothesis. J Bus Econ Stat 10: 251–270

    Article  Google Scholar 

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Correspondence to Abdulnasser Hatemi-J.

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Hatemi-J, A. Tests for cointegration with two unknown regime shifts with an application to financial market integration. Empir Econ 35, 497–505 (2008).

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