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Regime Sensitive Cointegration with an Application to Interest rate Parity

  • Siklos, P.L.
  • Granger, C.W.J.

There exist a variety of reasons for the failure to find a unique cointegrating relationship between economic time series where one would normally be expected on economic theory grounds. Among these are the testing procedure (e.g., Engle and Granger (1987) or Johansen (1991), the span of the data set (Hendry (1995), Perron (1989)), the choice of the lag length in generating the test statistic (Banerjee et al. (1993)), the presence of structural breaks (Gregory and Hansen (1996)), and the presence of cointegration only beyond some threshold (Balke and Fomby (1996)). In this paper we propose the concept of regime sensitive cointegration whereby the underlying series need not be cointegrated at all times. We show that cointegration can be switched off when a common stochastic trend is added. Alternatively, cointegration can be switched on or off because series normally believed to contain a unit actually do not. This implies that a linear combination of such variables need not be cointegrated. To illustrate the concept empirically, we test the hypothesis of interest rate parity, and related hypotheses, using daily eurorates for the US and Canada.

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Paper provided by Wilfrid Laurier University, Department of Economics in its series Working Papers with number 97-5.

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Length: 40 pages
Date of creation: 1997
Date of revision:
Handle: RePEc:wlu:wpaper:97-5
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  1. Brenner, Robin J. & Kroner, Kenneth F., 1995. "Arbitrage, Cointegration, and Testing the Unbiasedness Hypothesis in Financial Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(01), pages 23-42, March.
  2. Hall, Anthony D & Anderson, Heather M & Granger, Clive W J, 1992. "A Cointegration Analysis of Treasury Bill Yields," The Review of Economics and Statistics, MIT Press, vol. 74(1), pages 116-26, February.
  3. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March.
  4. Gregory, Allan W. & Hansen, Bruce E., 1996. "Residual-based tests for cointegration in models with regime shifts," Journal of Econometrics, Elsevier, vol. 70(1), pages 99-126, January.
  5. James H. Stock & Mark W. Watson, 1994. "Evidence on Structural Instability in Macroeconomic Time Series Relations," NBER Technical Working Papers 0164, National Bureau of Economic Research, Inc.
  6. Kasa, Kenneth, 1992. "Common stochastic trends in international stock markets," Journal of Monetary Economics, Elsevier, vol. 29(1), pages 95-124, February.
  7. Perron, P. & Bai, J., 1995. "Estimating and Testing Linear Models with Multiple Structural Changes," Cahiers de recherche 9552, Universite de Montreal, Departement de sciences economiques.
  8. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, March.
  9. James H. Stock & Mark W. Watson, 1991. "A simple estimator of cointegrating vectors in higher order integrated systems," Working Paper Series, Macroeconomic Issues 91-3, Federal Reserve Bank of Chicago.
  10. Jushan Bai & Pierre Perron, 1995. "Estimating & Testing Linear Models with Multiple Structural Changes," Working papers 95-17, Massachusetts Institute of Technology (MIT), Department of Economics.
  11. Goodwin, Barry K. & Grennes, Thomas J., 1994. "Real interest rate equalization and the integration of international financial markets," Journal of International Money and Finance, Elsevier, vol. 13(1), pages 107-124, February.
  12. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
  13. Hendry, David F., 1995. "Dynamic Econometrics," OUP Catalogue, Oxford University Press, number 9780198283164, March.
  14. Horvath, Michael T.K. & Watson, Mark W., 1995. "Testing for Cointegration When Some of the Cointegrating Vectors are Prespecified," Econometric Theory, Cambridge University Press, vol. 11(05), pages 984-1014, October.
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