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

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Author Info
van Tol, Michel R
Wolff, Christian C

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

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Find related papers by JEL classification:
C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Other Model Applications
F31 - International Economics - - International Finance - - - Foreign Exchange

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  1. repec:cup:macdyn:v:5:y:2001:i:4:p:533-76 is not listed on IDEAS
  2. Hansen, Bruce E. & Seo, Byeongseon, 2002. "Testing for two-regime threshold cointegration in vector error-correction models," Journal of Econometrics, Elsevier, vol. 110(2), pages 293-318, October. [Downloadable!] (restricted)
  3. R.P. Berben & D. van Dijk, 1999. "Unit roots and asymetric adjustment - a reassessment," Econometric Institute Report 101, Erasmus University Rotterdam, Econometric Institute. [Downloadable!]
  4. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-30, March. [Downloadable!] (restricted)
    Other versions:
  5. Coakley, Jerry & Fuertes, Ana-Maria & Perez, Maria-Teresa, 2003. "Numerical issues in threshold autoregressive modeling of time series," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11-12), pages 2219-2242, September. [Downloadable!] (restricted)
    Other versions:
  6. Hylleberg, Svend & Mizon, Grayham E, 1989. "Cointegration and Error Correction Mechanisms," Economic Journal, Royal Economic Society, vol. 99(395), pages 113-25, Supplemen. [Downloadable!] (restricted)
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  7. Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-45, August.
    Other versions:
  8. Wolff, Christian C P, 1987. "Time-Varying Parameters and the Out-of-Sample Forecasting Performance of Structural Exchange Rate Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(1), pages 87-97, January.
  9. 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. [Downloadable!]
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  10. Kapetanios, G., 1999. "Model Selection in Threshold Models," Cambridge Working Papers in Economics 9906, Faculty of Economics, University of Cambridge. [Downloadable!]
  11. Wolff, Christian C, 1987. "Exchange Rates, Innovations and Forecasting," CEPR Discussion Papers 188, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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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(11-12), pages 2243-2265, September. [Downloadable!] (restricted)
  13. Hansen, Bruce E, 1999. " Testing for Linearity," Journal of Economic Surveys, Blackwell Publishing, vol. 13(5), pages 551-76, December. [Downloadable!] (restricted)
  14. repec:att:wimass:1919997 is not listed on IDEAS
  15. 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. [Downloadable!] (restricted)
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  16. Pippenger, Michael K & Goering, Gregory E, 1993. "A Note on the Empirical Power of Unit Root Tests under Threshold Processes," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 55(4), pages 473-81, November.
  17. 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. [Downloadable!] (restricted)
  18. George Kapetanios & Yongcheol Shin, 2002. "Unit Root Tests in Three-Regime SETAR Models," Working Papers 465, Queen Mary, University of London, Department of Economics. [Downloadable!]
  19. 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. [Downloadable!] (restricted)
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