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An Unbiased Appraisal of Purchasing Power Parity

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  • Paul Cashin

    (International Monetary Fund)

  • C. John McDermott

    (International Monetary Fund)

Abstract

Univariate studies of the hypothesis of unit roots in real exchange rates have yielded consensus point estimates of the half-life of deviations from purchasing power parity (PPP) of between three to five years (Rogoff, 1996). However, conventional least-squares-based estimates of half-lives are biased downward. Accordingly, as a preferred measure of the persistence of real exchange rate shocks we use median-unbiased estimators of the half-life of deviations from parity, which correct for the downward bias of conventional estimators. We study this issue using real effective exchange rate (REER) data for 20 industrial countries in the post-Bretton Woods period. The serial correlation-robust median-unbiased estimator yields a cross-country average of half-lives of deviations from parity of about eight years, with the REER of several countries displaying permanent deviations from parity. However, using the median-unbiased estimator that is robust to the moving average and heteroskedastic errors present in real exchange rate data reduces the estimated half-life of parity deviations. Using this unbiased estimator, we find that the majority of countries have finite point estimates of half-lives of parity deviation, which is supportive of PPP holding in the post-Bretton Woods period. We also find that the average bias-corrected half-life of parity deviations is about five years, which is consistent with (but at the upper end of) Rogoff's (1996) consensus estimate of the half-life of deviations from parity. Copyright 2003, International Monetary Fund

Suggested Citation

  • Paul Cashin & C. John McDermott, 2003. "An Unbiased Appraisal of Purchasing Power Parity," IMF Staff Papers, Palgrave Macmillan, vol. 50(3), pages 1-1.
  • Handle: RePEc:pal:imfstp:v:50:y:2003:i:3:p:1
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    Cited by:

    1. Jean Imbs & Haroon Mumtaz & Morten O. Ravn & Hélène Rey, 2005. "PPP Strikes Back: Aggregation And the Real Exchange Rate," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(1), pages 1-43.
    2. Shiu-Sheng Chen & Charles Engel, 2004. "Does "Aggregation Bias" Explain the PPP Puzzle?," NBER Working Papers 10304, National Bureau of Economic Research, Inc.
    3. Qian Chen & David E. Giles, 2007. "A Saddlepoint Approximation to the Distribution of the Half-Life Estimator in an Autoregressive Model: New Insights Into the PPP Puzzle," Econometrics Working Papers 0703, Department of Economics, University of Victoria.
    4. Emilio Pineda & Mr. Paul Cashin & Ms. Yan M Sun, 2009. "Assessing Exchange Rate Competitiveness in the Eastern Caribbean Currency Union," IMF Working Papers 2009/078, International Monetary Fund.
    5. Paul Cashin & C. John McDermott, 2006. "Parity Reversion in Real Exchange Rates: Fast, Slow, or Not at All?," IMF Staff Papers, Palgrave Macmillan, vol. 53(1), pages 1-5.
    6. Levent, Korap, 2007. "Modeling purchasing power parity using co-integration: evidence from Turkey," MPRA Paper 19584, University Library of Munich, Germany.
    7. Joseph Kargbo, 2006. "Purchasing Power Parity and real exchange rate behaviour in Africa," Applied Financial Economics, Taylor & Francis Journals, vol. 16(1-2), pages 169-183.
    8. Cuestas, Juan Carlos & Regis, Paulo José, 2013. "Purchasing power parity in OECD countries: Nonlinear unit root tests revisited," Economic Modelling, Elsevier, vol. 32(C), pages 343-346.
    9. Blanco-Gonzalez, Lorenzo & Fullerton, Thomas Jr., 2006. "Borderplex menu evidence for the law of one price," Economics Letters, Elsevier, vol. 90(1), pages 28-33, January.
    10. Fullerton Jr., Thomas M. & Fierro, Karen P. & Villalobos, Emmanuel, 2009. "Cross-border restaurant price and exchange rate interactions," The North American Journal of Economics and Finance, Elsevier, vol. 20(3), pages 281-288, December.
    11. Alberola, Enrique & Lopez, Humberto & Serven, Luis, 2004. "Tango with the Gringo: the hard peg and real misalignment in Argentina," Policy Research Working Paper Series 3322, The World Bank.
    12. Levent, Korap, 2007. "Analyzing CBRT's FOREX interventions using EGARCH (2001-2006)," MPRA Paper 20634, University Library of Munich, Germany.
    13. Joseph Kargbo, 2011. "Capital flows, real exchange rate misalignment and PPP tests in emerging market countries," Applied Economics, Taylor & Francis Journals, vol. 43(15), pages 1883-1897.
    14. Fallahi, Firouz & Karimi, Mohammad & Voia, Marcel-Cristian, 2016. "Persistence in world energy consumption: Evidence from subsampling confidence intervals," Energy Economics, Elsevier, vol. 57(C), pages 175-183.
    15. Susan Thorp, 2005. "‘That Courage is not Inconsistent with Caution’: Currency Hedging for Superannuation Funds," The Economic Record, The Economic Society of Australia, vol. 81(252), pages 38-50, March.
    16. Levent, Korap, 2007. "Information content of exchange rate volatility: Turkish experience," MPRA Paper 19598, University Library of Munich, Germany.
    17. Vatter, Marc H., 2017. "OPEC's kinked demand curve," Energy Economics, Elsevier, vol. 63(C), pages 272-287.
    18. Irfan Civcir, 2003. "Before the Fall, Was the Turkish Lira Overvalued?," Eastern European Economics, Taylor & Francis Journals, vol. 41(2), pages 69-99, March.
    19. Fallahi, Firouz, 2017. "Stochastic convergence in per capita energy use in world," Energy Economics, Elsevier, vol. 65(C), pages 228-239.
    20. Ms. Jayasri Dutta, 2002. "Dread of Depreciation: Measuring Real Exchange Rate Interventions," IMF Working Papers 2002/063, International Monetary Fund.
    21. Susan Thorp, 2004. "That Courage is not inconsistent with Caution: Foreign Currency Hedging for Superannuation Funds," Econometric Society 2004 Australasian Meetings 148, Econometric Society.
    22. Arize, Augustine C. & Malindretos, John & Nam, Kiseok, 2010. "Cointegration, dynamic structure, and the validity of purchasing power parity in African countries," International Review of Economics & Finance, Elsevier, vol. 19(4), pages 755-768, October.
    23. Blanco-Gonzalez, Lorenzo & Fullerton, Thomas M., Jr., 2008. "La Ley del Precio Unitario en la Zona Metropolitana Fronteriza [The Law of One Price in the Borderplex]," MPRA Paper 14687, University Library of Munich, Germany.
    24. World Bank, 2003. "Brazil : Stability for Growth and Poverty Reduction," World Bank Publications - Reports 14881, The World Bank Group.
    25. Aviral Tiwari & Muhammad Shahbaz, 2014. "Revisiting Purchasing Power Parity for India using threshold cointegration and nonlinear unit root test," Economic Change and Restructuring, Springer, vol. 47(2), pages 117-133, May.

    More about this item

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • F31 - International Economics - - International Finance - - - Foreign Exchange

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