The effect of structural breaks on the Engle-Granger test for cointegration
This paper extends Gonzalo and Lee’s (1998) results by studying the asymptotic and finite sample behavior of the Engle-Granger test for cointegration, under misspecification of the trend function in the form of neglected structural breaks. We allow breaks in level and slope of trend in both dependent and explanatory variables. We also allow these processes to interact with I(1) processes without breaks. In some cases, breaks bias the EG test towards both rejecting a true cointegration relation, and not rejecting a non-existent one. Using real data, we present an empirical illustration of the theoretical results.
Arai, Y. and E. Kurozumi. 2007. Testing for the null hypothesis of cointegration with a structural break, Econometric Reviews, 26(6): 705-739.
Campbell, J.Y. and P. Perron. 1991. Pitfalls and opportunities: What macroeconomists should know about unit roots, in O.J. Blanchard and S. Fischer (Eds.), NBER Macroeconomics Annual, MIT Press, Cambridge, pp. 141-201.
Campos, J., N.R. Ericsson and D.F. Hendry. 1996. Cointegration tests in the presence of structural breaks, Journal of Econometrics, 70(1): 187-220.
Dickey, D.A. and S.G. Pantula. 1987. Determining the order of differencing in autoregressive processes, Journal of Business & Economic Statistics, 5: 455-461.
Elliot, G. 1998. On the robustness of cointegration methods when regressors almost have unit roots, Econometrica, 66(1): 149-158.
Enders, W. 2004. Applied Econometric Time Series, Second Edition, Wiley.
Engle, R.F. and C.W.J. Granger. 1987. Cointegration and error correction: representation, estimation and testing, Econometrica, 55: 251-276.
Gonzalo, J. and T.H. Lee. 1998. Pitfalls in testing for long-run relationships, Journal of Econometrics, 86(1): 129-154.
Gregory, A. and B. Hansen. 1996a. Residual-based tests for cointegration in models with regime shifts, Journal of Econometrics, 70: 99-126.
Gregory, A. and B. Hansen. 1996b. Tests for cointegration in models with regime and trend shifts, Oxford Bulletin of Economics and Statistics, 58(3): 555-560.
Gregory, A., J. Nason and D. Watt. 1996. Testing for structural breaks in cointegrated relationships, Journal of Econometrics, 71(1-2): 321-341.
Inoue, A. 1999. Tests of cointegrating rank with a trend-break, Journal of Econometrics, 90(2): 215-237.
Kapetanios, G. 2005. Unit-root testing against the alternative hypothesis of up to m structural breaks, Journal of Time Series Analysis, 26(1): 123-133.
Kellard, N. 2006. On the robustness of cointegration tests when assessing market efficiency, Finance Research Letters, 3: 57-64.
Leybourne, S.J. and P. Newbold. 2003. Spurious rejections by cointegration tests induced by structural breaks, Applied Economics, 35: 1117-1121.
MacKinnon, J.G. 1991. Critical values for co-integration tests, in R.F. Engle and C.W.J. Granger (eds.), Long-Run Economic Relationships, Oxford University Press, pp. 267-276.
Maddala, G. and I.M. Kim. 1998. Unit Roots, Cointegration and Structural Change, Cambridge University Press.
Montañés, A. and M. Reyes. 1998. Effect of a shift in the trend function on Dickey-Fuller unit root tests, Econometric Theory, 14(3): 355-363.
Ng, S. and P. Perron. 2001. Lag length selection and the construction of unit root tests with good size and power, Econometrica, 69: 1519-1554.
Noriega, A. and D. Ventosa-Santaulària. 2006. Spurious regression under brokentrend stationarity, Journal of Time Series Analysis, 27(5): 671-684.
Noriega, A. and D. Ventosa-Santaulària. 2007. Spurious regression and trending variables, Oxford Bulletin of Economics and Statistics, 69(3): 439-444.
Ogaki, M. and Park, J. 1997. A cointegration approach to estimating preference parameters, Journal of Econometrics, 82(1): 107-134.
Pantula, S.G. 1989. Testing for unit roots in time series data, Econometric Theory, 5(2): 256-271.
Perron, P. 1989. The great crash, the oil price shock, and the unit root hypothesis, Econometrica, 57: 1361-1401.
Perron, P. 1997. Further evidence on breaking trend functions in macroeconomic variables, Journal of Econometrics, 80: 355-385.
Perron, P. 2003. Statistical adequacy and the testing of trend versus difference stationarity: Some comments. (unpublished).
Perron, P and X. Zhu. 2005. Structural breaks with deterministic and stochastic trends, Journal of Econometrics, 129: 65-119.
Perron, P. and Z. Qu. 2007. A simple modification to improve the finite simple properties of Ng and Perron’s unit root tests, Economics Letters, 94(1):12-19.
Phillips, P.C.B. 1986. Understanding spurious regressions in econometrics, Journal of Econometrics, 33: 311-340.
Phillips, P.C.B. and S. Oularis. 1990. Asymptotic properties of residual based tests for cointegration, Econometrica, 58: 165-193.
Yule, G.U. 1926. Why do we sometimes get nonsense-correlations between timeseries? A study in sampling and the nature of time-series, Journal of the Royal Statistical Society, 89(1): 1-63.
Zivot, E. and D.W.K. Andrews. 1992. Further Evidence on the Great Crash, the Oil Price Shock, and the Unit Root Hypothesis, Journal of Business & Economic Statistics, 10(3): 251-270.
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