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Real exchange rates and real interest rates : a nonlinear perspective

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  • Frédérique Bec
  • Mélika Ben Salem
  • Ronald MacDonald

Abstract

In this paper we use a Threshold AutoRegressive (TAR) model to capture the nonlinear dynamics of monthly real effective exchange rate data for the G7 countries. The novelty of our approach relates to the use of the real interest differential as the switching variable. This choice allows us to consider jointly the nonlinearity and nonstationarity issues using recent advances in asymptotic theory. We find that the null of linearity is easily rejected against the nonlinear model for all currencies considered. Further, for five out of the seven countries, where the null of unit root is rejected, we report evidence of quite rapid mean reversion.

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Bibliographic Info

Article provided by De Boeck Université in its journal Recherches économiques de Louvain.

Volume (Year): 72 (2006)
Issue (Month): 2 ()
Pages: 177-194

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Handle: RePEc:cai:reldbu:rel_722_0177

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  1. James G. MacKinnon & Halbert White, 1983. "Some Heteroskedasticity Consistent Covariance Matrix Estimators with Improved Finite Sample Properties," Working Papers 537, Queen's University, Department of Economics.
  2. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
  3. Cletus C. Coughlin & Kees Koedijk, 1990. "What do we know about the long-run real exchange rate?," Review, Federal Reserve Bank of St. Louis, issue Jan, pages 36-48.
  4. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-72, June.
  5. Lutz Kilian & Mark P. Taylor, 2001. "Why Is It So Difficult to Beat the Random Walk Forecast of Exchange Rates?," Working Papers 464, Research Seminar in International Economics, University of Michigan.
  6. Edison, Hali J & Melick, William R, 1999. "Alternative Approaches to Real Exchange Rates and Real Interest Rates: Three Up and Three Down," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 4(2), pages 93-111, April.
  7. Sercu, Piet & Uppal, Raman & Van Hulle, Cynthia, 1995. " The Exchange Rate in the Presence of Transaction Costs: Implications for Tests of Purchasing Power Parity," Journal of Finance, American Finance Association, vol. 50(4), pages 1309-19, September.
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  10. Berka, Martin, 2005. "General Equilibrium Model of Arbitrage Trade and Real Exchange Rate Persistence," MPRA Paper 234, University Library of Munich, Germany.
  11. Shin, Dong Wan & Lee, Oesook, 2001. "Tests for Asymmetry in Possibly Nonstationary Time Series Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(2), pages 233-44, April.
  12. Schnatz, Bernd & Vijselaar, Focco & Osbat, Chiara, 2003. "Productivity and the ('synthetic') euro-dollar exchange rate," Working Paper Series 0225, European Central Bank.
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  14. Henry, Olan T. & Olekalns, Nilss, 2002. "Does the Australian dollar real exchange rate display mean reversion," Journal of International Money and Finance, Elsevier, vol. 21(5), pages 651-666, October.
  15. Alexius, Annika, 2005. "Productivity shocks and real exchange rates," Journal of Monetary Economics, Elsevier, vol. 52(3), pages 555-566, April.
  16. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-79, August.
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Citations

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Cited by:
  1. Sofiane Sekioua, 2004. "The forward unbiasedness hypothesis and the forward premium: a nonlinear analysis," Money Macro and Finance (MMF) Research Group Conference 2003 85, Money Macro and Finance Research Group.
  2. G. Dufrenot & L. Mathieu & V. Mignon, & A. Peguin-Feissolle, 2002. "Persistent misalignments of the European exchange rates : some evidence from nonlinear cointegration," THEMA Working Papers 2002-29, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  3. Sekioua, Sofiane H., 2006. "Nonlinear adjustment in the forward premium: evidence from a threshold unit root test," International Review of Economics & Finance, Elsevier, vol. 15(2), pages 164-183.
  4. Sekioua, Sofiane H., 2008. "Real interest parity (RIP) over the 20th century: New evidence based on confidence intervals for the largest root and the half-life," Journal of International Money and Finance, Elsevier, vol. 27(1), pages 76-101, February.
  5. repec:hal:journl:halshs-00119051 is not listed on IDEAS
  6. Million, N., 2008. "Test simultané de la non-stationnarité et de la non-linéarité : une application au taux d.intérêt réel américain," Working papers 201, Banque de France.
  7. Sofiane Hicham Sekioua, 2003. "The Nominal Exchange Rate and Monetary Fundamentals: Evidence from Nonlinear Unit Root Tests," Economics Bulletin, AccessEcon, vol. 6(1), pages 1-13.
  8. Benbouziane, Mohamed & Benamar, Abdelhak, 2006. "The Purchasing Power Parity in The Maghreb Countries : A Nonlinear Perspective," MPRA Paper 13853, University Library of Munich, Germany, revised 2007.
  9. Penelope Smith, 2006. "Bayesian Inference for a Threshold Autoregression with a Unit Root," Melbourne Institute Working Paper Series wp2006n20, Melbourne Institute of Applied Economic and Social Research, The University of Melbourne.
  10. repec:ebl:ecbull:v:6:y:2003:i:1:p:1-13 is not listed on IDEAS
  11. Nicolas Million, 2006. "Changements de régime pour la persistance et la dynamique du taux d'intérêt réel américain," Cahiers de la Maison des Sciences Economiques v06067, Université Panthéon-Sorbonne (Paris 1).

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