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The Law of One Price: Nonlinearities in Sectoral Real Exchange Rate Dynamics


  • Luciana Juvenal

    (University of Warwick)

  • Mark P. Taylor

    (University of Warwick, Centre for Economic Policy Research)


Using Self-Exciting Threshold Autoregressive Models (SETAR), this paper explores the validity of the Law of One Price (LOOP) for nineteen sectors in ten European countries. We find strong evidence of nonlinear mean reversion in deviations from the LOOP. We highlight the importance of modelling the real exchange rate in a nonlinear fashion in an attempt to solve the PPP Puzzle. Using the US dollar as a reference currency, half-life estimates range from nine to sixteen months (country averages), which are significantly lower than the `consensus estimates' of three to five years. The results also show that transaction costs differ enormously across sectors and countries

Suggested Citation

  • Luciana Juvenal & Mark P. Taylor, 2007. "The Law of One Price: Nonlinearities in Sectoral Real Exchange Rate Dynamics," Money Macro and Finance (MMF) Research Group Conference 2006 80, Money Macro and Finance Research Group.
  • Handle: RePEc:mmf:mmfc06:80

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    References listed on IDEAS

    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.
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    3. Richardson, J. David, 1978. "Some empirical evidence on commodity arbitrage and the law of one price," Journal of International Economics, Elsevier, vol. 8(2), pages 341-351, May.
    4. Jean Imbs & Haroon Mumtaz & Morten O. Ravn & Hélène Rey, 2005. "PPP Strikes Back: Aggregation And the Real Exchange Rate," The Quarterly Journal of Economics, Oxford University Press, vol. 120(1), pages 1-43.
    5. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    6. Jean Imbs & Haroon Mumtaz & Morten O. Ravn & Hélène Rey, 2003. "Nonlinearities and Real Exchange Rate Dynamics," Journal of the European Economic Association, MIT Press, vol. 1(2-3), pages 639-649, 04/05.
    7. Engel, Charles, 2000. "Long-run PPP may not hold after all," Journal of International Economics, Elsevier, vol. 51(2), pages 243-273, August.
    8. Taylor, Alan M, 2001. "Potential Pitfalls for the Purchasing-Power-Parity Puzzle? Sampling and Specification Biases in Mean-Reversion Tests of the Law of One Price," Econometrica, Econometric Society, vol. 69(2), pages 473-498, March.
    9. 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.
    10. Knetter, Michael M, 1994. "Did the Strong Dollar Increase Competition in U.S. Product Markets?," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 192-195, February.
    11. 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.
    12. Obstfeld, Maurice & Taylor, Alan M., 1997. "Nonlinear Aspects of Goods-Market Arbitrage and Adjustment: Heckscher's Commodity Points Revisited," Journal of the Japanese and International Economies, Elsevier, vol. 11(4), pages 441-479, December.
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    14. Froot, Kenneth A. & Rogoff, Kenneth, 1995. "Perspectives on PPP and long-run real exchange rates," Handbook of International Economics,in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 32, pages 1647-1688 Elsevier.
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    Cited by:

    1. Juan Jiménez-Martin & M. Robles-Fernandez, 2010. "PPP: Delusion or Reality? Evidence from a Nonlinear Analysis," Open Economies Review, Springer, vol. 21(5), pages 679-704, November.

    More about this item


    Law of One Price; mean reversion; nonlinearities; thresholds;

    JEL classification:

    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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