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How well does nonlinear mean reversion solve the PPP puzzle?

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  • Norman, Stephen

Abstract

This paper addresses the degree to which models which exhibit nonlinear mean reversion (NMR) present a resolution to the Purchasing Power Parity Puzzle. This paper develops a method of estimating a representative distribution of half lives which is based upon the observed distribution of shocks in a given time series rather than choosing shock sizes arbitrarily which is the current practice in the literature. This approach is implemented with data on five real exchange rates. The empirical analysis shows that half lives shorter than the consensus are observed frequently enough to support the proposition that NMR is a solution to the PPP puzzle.

Suggested Citation

  • Norman, Stephen, 2010. "How well does nonlinear mean reversion solve the PPP puzzle?," Journal of International Money and Finance, Elsevier, vol. 29(5), pages 919-937, September.
  • Handle: RePEc:eee:jimfin:v:29:y:2010:i:5:p:919-937
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    References listed on IDEAS

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    1. JamesR. Lothian & MarkP. Taylor, 2008. "Real Exchange Rates Over the Past Two Centuries: How Important is the Harrod-Balassa-Samuelson Effect?," Economic Journal, Royal Economic Society, vol. 118(532), pages 1742-1763, October.
    2. 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 862-879, August.
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    5. Taylor, Mark P & Peel, David A & Sarno, Lucio, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Toward a Solution to the Purchasing Power Parity Puzzles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1015-1042, November.
    6. Sarno, Lucio & Taylor, Mark P. & Chowdhury, Ibrahim, 2004. "Nonlinear dynamics in deviations from the law of one price: a broad-based empirical study," Journal of International Money and Finance, Elsevier, vol. 23(1), pages 1-25, February.
    7. Alvaro Escribano & Oscar Jorda, "undated". "Improved Testing And Specification Of Smooth Transition Regression Models," Department of Economics 97-26, California Davis - Department of Economics.
    8. Hansen Bruce E., 1997. "Inference in TAR Models," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 2(1), pages 1-16, April.
    9. Baum, Christopher F. & Barkoulas, John T. & Caglayan, Mustafa, 2001. "Nonlinear adjustment to purchasing power parity in the post-Bretton Woods era," Journal of International Money and Finance, Elsevier, vol. 20(3), pages 379-399, June.
    10. Paya, Ivan & Peel, David A., 2006. "On the speed of adjustment in ESTAR models when allowance is made for bias in estimation," Economics Letters, Elsevier, vol. 90(2), pages 272-277, February.
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    12. Gallant, A Ronald & Rossi, Peter E & Tauchen, George, 1993. "Nonlinear Dynamic Structures," Econometrica, Econometric Society, vol. 61(4), pages 871-907, July.
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    14. Sarno, Lucio & Valente, Giorgio, 2006. "Deviations from purchasing power parity under different exchange rate regimes: Do they revert and, if so, how?," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 3147-3169, November.
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    Cited by:

    1. Robert Kelm, 2017. "The Purchasing Power Parity Puzzle and Imperfect Knowledge: The Case of the Polish Zloty," Central European Journal of Economic Modelling and Econometrics, CEJEME, vol. 9(1), pages 1-27, March.
    2. Michele Ca’ Zorzi & Jakub Muck & Michal Rubaszek, 2016. "Real Exchange Rate Forecasting and PPP: This Time the Random Walk Loses," Open Economies Review, Springer, vol. 27(3), pages 585-609, July.
    3. repec:cpn:umkdem:v:17:y:2017:p:97-114 is not listed on IDEAS
    4. Mark Holmes & Jesús Otero & Theodore Panagiotidis, 2012. "PPP in OECD Countries: An Analysis of Real Exchange Rate Stationarity, Cross-Sectional Dependency and Structural Breaks," Open Economies Review, Springer, vol. 23(5), pages 767-783, November.
    5. Joscha Beckmann, 2011. "Nonlinear Adjustment, Purchasing Power Parity and the Role of Nominal Exchange Rates and Prices," Ruhr Economic Papers 0272, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    6. Michele Ca’ Zorzi & Michal Rubaszek, 2012. "Real exchange rate forecasting: a calibrated half-life PPP model can beat the random walk," NBP Working Papers 123, Narodowy Bank Polski, Economic Research Department.
    7. Beckmann, Joscha, 2013. "Nonlinear adjustment, purchasing power parity and the role of nominal exchange rates and prices," The North American Journal of Economics and Finance, Elsevier, vol. 24(C), pages 176-190.
    8. repec:zbw:rwirep:0272 is not listed on IDEAS

    More about this item

    Keywords

    C22 F31 Nonlinear impulse response analysis Purchasing power parity Half life Smooth transition autoregressive model Real exchange rates;

    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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