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Non-Parametric Tests of Real Exchange rates in the Post-Bretton Woods Era

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Francis W. Ahking (University of Connecticut)

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Abstract

This paper examines the mean-reverting property of real exchange rates. Earlier studies have generally not been able to reject the null hypothesis of a unit-root in real exchange rates, especially for the post-Bretton Woods floating period. The results imply that long-run purchasing power parity does not hold. More recent studies, especially those using panel unit-root tests, have found more favorable results, however. But, Karlsson and Loethgren (2000) and others have recently pointed out several potential pitfalls of panel unit-root tests. Thus, the panel unit-root test results are suggestive, but they are far from conclusive. Moreover, consistent individual country time series evidence that supports long-run purchasing power parity continues to be scarce. In this paper, we test for long memory using Lo's (1991) modified rescaled range test, and the rescaled variance test of Giraitis, Kokoszka, Leipus, and Teyssiere (2003). Our testing procedure provides a non-parametric alternative to the parametric tests commonly used in this literature. Our data set consists of monthly observations from April 1973 to April 2001 of the G-7 countries in the OECD. Our two tests find conflicting results when we use U.S. dollar real exchange rates. However, when non-U.S. dollar real exchange rates are used, we find only two cases out of fifteen where the null hypothesis of an unit-root with short-term dependence can be rejected in favor of the alternative hypothesis of long-term dependence using the modified rescaled range test, and only one case when using the rescaled variance test. Our results therefore provide a contrast to the recent favorable panel unit-root test results.

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Paper provided by University of Connecticut, Department of Economics in its series Working papers with number 2004-05.

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Length: 24 pages
Date of creation: Feb 2004
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Handle: RePEc:uct:uconnp:2004-95

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Find related papers by JEL classification:
F31 - International Economics - - International Finance - - - Foreign Exchange
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions

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  5. Engel, Charles & Kim, Chang-Jin, 1999. "The Long-Run U.S./U.K. Real Exchange Rate," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(3), pages 335-56, August.
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  6. Giraitis, Liudas & Kokoszka, Piotr & Leipus, Remigijus & Teyssiere, Gilles, 2003. "Rescaled variance and related tests for long memory in volatility and levels," Journal of Econometrics, Elsevier, vol. 112(2), pages 265-294, February. [Downloadable!] (restricted)
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  8. Papell, David H., 2002. "The great appreciation, the great depreciation, and the purchasing power parity hypothesis," Journal of International Economics, Elsevier, vol. 57(1), pages 51-82, June. [Downloadable!] (restricted)
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  9. Lo, Andrew W. & MacKinlay, A. Craig, 1989. "The size and power of the variance ratio test in finite samples : A Monte Carlo investigation," Journal of Econometrics, Elsevier, vol. 40(2), pages 203-238, February. [Downloadable!] (restricted)
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  16. Murray, Christian J. & Papell, David H., 2002. "The purchasing power parity persistence paradigm," Journal of International Economics, Elsevier, vol. 56(1), pages 1-19, January. [Downloadable!] (restricted)
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  17. Sarno, Lucio & Taylor, Mark P., 1998. "Real exchange rates under the recent float: unequivocal evidence of mean reversion," Economics Letters, Elsevier, vol. 60(2), pages 131-137, August. [Downloadable!] (restricted)
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  18. DeJong, David N, et al, 1992. "Integration versus Trend Stationarity in Time Series," Econometrica, Econometric Society, vol. 60(2), pages 423-33, March. [Downloadable!] (restricted)
  19. Baum, Christopher F. & Barkoulas, John T. & Caglayan, Mustafa, 1999. "Long memory or structural breaks: can either explain nonstationary real exchange rates under the current float?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 9(4), pages 359-376, November. [Downloadable!] (restricted)
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  20. Cheung, Yin-Wong, 1993. "Long Memory in Foreign-Exchange Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 93-101, January.
  21. Karlsson, Sune & Lothgren, Mickael, 2000. "On the power and interpretation of panel unit root tests," Economics Letters, Elsevier, vol. 66(3), pages 249-255, March. [Downloadable!] (restricted)
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  22. Papell, David H. & Theodoridis, Hristos, 1998. "Increasing evidence of purchasing power parity over the current float," Journal of International Money and Finance, Elsevier, vol. 17(1), pages 41-50, February. [Downloadable!] (restricted)
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