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A Residual-Based Test For Stochastic Cointegration

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  • McCabe, Brendan
  • Leybourne, Stephen
  • Harris, David

Abstract

We consider the problem of hypothesis testing in a modified version of the stochastic integration and cointegration framework of Harris, McCabe, and Leybourne (2002, Journal of Econometrics 111, 363–384). This nonlinear setup allows for volatility in excess of that catered for by the standard integration/cointegration paradigm through the introduction of nonstationary heteroskedasticity. We propose a test for stochastic cointegration against the alternative of no cointegration and a secondary test for stationary cointegration against the heteroskedastic alternative. Asymptotic distributions of these tests under their respective null hypotheses are derived, and consistency under their respective alternatives is established. Monte Carlo evidence suggests that the tests will perform well in practice. An empirical application to the term structure of interest rates is also given.We are most grateful to the Associate Editor and two anonymous referees for providing helpful comments on earlier versions of this paper.

Suggested Citation

  • McCabe, Brendan & Leybourne, Stephen & Harris, David, 2006. "A Residual-Based Test For Stochastic Cointegration," Econometric Theory, Cambridge University Press, vol. 22(3), pages 429-456, June.
    • Handle: RePEc:cup:etheor:v:22:y:2006:i:03:p:429-456_06
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    Cited by:

    1. Julio A. Afonso-Rodríguez & María Santana-Gallego, 2018. "Is Spain benefiting from the Arab Spring? On the impact of terrorism on a tourist competitor country," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(3), pages 1371-1408, May.
    2. Lucey, Brian M. & Voronkova, Svitlana, 2008. "Russian equity market linkages before and after the 1998 crisis: Evidence from stochastic and regime-switching cointegration tests," Journal of International Money and Finance, Elsevier, vol. 27(8), pages 1303-1324, December.
    3. Burak Alparslan Eroğlu & J. Isaac Miller & Taner Yiğit, 2022. "Time-varying cointegration and the Kalman filter," Econometric Reviews, Taylor & Francis Journals, vol. 41(1), pages 1-21, January.

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