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Forecasting the Spot Exchange Rate with the Term Structure of Forward Premia: Multivariate Threshold Cointegration

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  • van Tol, Michel R
  • Wolff, Christian C

Abstract

In this paper we develop a multivariate threshold vector error correction model of spot and forward exchange rates that allows for different forms of equilibrium reversion in each of the cointegrating residual series. By introducing the notion of an indicator matrix to differentiate between the various regimes in the set of nonlinear processes we provide a convenient framework for estimation by OLS. Empirically, out-of sample forecasting exercises demonstrate its superiority over a linear VECM, while being unable to out-predict a (driftless) random walk model. As such we provide empirical evidence against the findings of Clarida and Taylor (1997).

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Bibliographic Info

Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 4958.

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Date of creation: Mar 2005
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Handle: RePEc:cpr:ceprdp:4958

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Keywords: foreign exchange; multivariate threshold cointegration; TAR models;

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References

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  1. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
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  3. Richard H. Clarida & Mark P. Taylor, 1997. "The Term Structure Of Forward Exchange Premiums And The Forecastability Of Spot Exchange Rates: Correcting The Errors," The Review of Economics and Statistics, MIT Press, vol. 79(3), pages 353-361, August.
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  12. Seo, Byeongseon, 2003. "Nonlinear mean reversion in the term structure of interest rates," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11), pages 2243-2265.
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  14. Lo, Ming Chien & Zivot, Eric, 2001. "Threshold Cointegration And Nonlinear Adjustment To The Law Of One Price," Macroeconomic Dynamics, Cambridge University Press, vol. 5(04), pages 533-576, September.
  15. Seo, Byeongseon, 2003. "Nonlinear mean reversion in the term structure of interest rates," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11-12), pages 2243-2265, September.
  16. Wolff, Christian C. P., 1988. "Exchange rates, innovations and forecasting," Journal of International Money and Finance, Elsevier, vol. 7(1), pages 49-61, March.
  17. Kapetanios, G., 1999. "Model Selection in Threshold Models," Cambridge Working Papers in Economics 9906, Faculty of Economics, University of Cambridge.
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