IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/3377.html
   My bibliography  Save this paper

Non-Linear Dynamics in Deviations from the Law of One Price: A Broad-Based Empirical Study

Author

Listed:
  • Taylor, Mark
  • Sarno, Lucio
  • Chowdhury, Ibrahim

Abstract

In this Paper we test empirically the validity of the law of one price using data for five major bilateral US dollar exchange rates and nine goods sectors during the recent floating exchange rate regime since the early 1970s. Using threshold autoregressive models, we find strong evidence of non-linear mean reversion in deviations from the law of one price with plausible convergence speeds. Consistent with theoretical arguments on international goods markets arbitrage under transactions costs and with an emerging strand of empirical literature, these results contribute towards forming a consensus view in favour of discrete regime switching in deviations from the law of one price and the presence of differing non-zero transactions costs across a broad range of goods and countries.

Suggested Citation

  • Taylor, Mark & Sarno, Lucio & Chowdhury, Ibrahim, 2002. "Non-Linear Dynamics in Deviations from the Law of One Price: A Broad-Based Empirical Study," CEPR Discussion Papers 3377, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:3377
    as

    Download full text from publisher

    File URL: https://cepr.org/publications/DP3377
    Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Edison, Hali J. & Gagnon, Joseph E. & Melick, William R., 1997. "Understanding the empirical literature on purchasing power parity: the post-Bretton Woods era," Journal of International Money and Finance, Elsevier, vol. 16(1), pages 1-17, February.
    2. Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-645, August.
    3. Knetter, Michael M, 1989. "Price Discrimination by U.S. and German Exporters," American Economic Review, American Economic Association, vol. 79(1), pages 198-210, March.
    4. Giovannini, Alberto, 1988. "Exchange rates and traded goods prices," Journal of International Economics, Elsevier, vol. 24(1-2), pages 45-68, February.
    5. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    6. Engel, Charles & Rogers, John H, 1996. "How Wide Is the Border?," American Economic Review, American Economic Association, vol. 86(5), pages 1112-1125, December.
    7. Feenstra, Robert C. & Kendall, Jon D., 1997. "Pass-through of exchange rates and purchasing power parity," Journal of International Economics, Elsevier, vol. 43(1-2), pages 237-261, August.
    8. Sarno, Lucio, 2000. "Real exchange rate behavior in the Middle East: a re-examination," Economics Letters, Elsevier, vol. 66(2), pages 127-136, February.
    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. Cheung, Yin-Wong & Lai, Kon S., 2000. "On cross-country differences in the persistence of real exchange rates," Journal of International Economics, Elsevier, vol. 50(2), pages 375-397, April.
    12. Cheung, Yin-Wong & Chinn, Menzie & Fujii, Eiji, 2001. "Market Structure and the Persistence of Sectoral Real Exchange Rates," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 6(2), pages 95-114, April.
    13. Lothian, James R., 1997. "Multi-country evidence on the behavior of purchasing power parity under the current float," Journal of International Money and Finance, Elsevier, vol. 16(1), pages 19-35, February.
    14. 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.
    15. Feenstra, Robert C, 1995. "Exact Hedonic Price Indexes," The Review of Economics and Statistics, MIT Press, vol. 77(4), pages 634-653, November.
    16. Sven W. Arndt & J. David Richardson, 1987. "Real-Financial Linkages Among Open Economies," NBER Working Papers 2230, National Bureau of Economic Research, Inc.
    17. G. M. Grossman & K. Rogoff (ed.), 1995. "Handbook of International Economics," Handbook of International Economics, Elsevier, edition 1, volume 3, number 3.
    18. Coakley, Jerry & Fuertes, Ana Maria, 1997. "New panel unit root tests of PPP," Economics Letters, Elsevier, vol. 57(1), pages 17-22, November.
    19. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-430, March.
    20. Paul R. Bergin & Robert C. Feenstra, 2017. "Pricing-to-Market, Staggered Contracts, and Real Exchange Rate Persistence," World Scientific Book Chapters, in: International Macroeconomic Interdependence, chapter 6, pages 155-185, World Scientific Publishing Co. Pte. Ltd..
    21. Maurice Obstfeld & Kenneth Rogoff, 2001. "The Six Major Puzzles in International Macroeconomics: Is There a Common Cause?," NBER Chapters, in: NBER Macroeconomics Annual 2000, Volume 15, pages 339-412, National Bureau of Economic Research, Inc.
    22. 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.
    23. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
    24. Taylor, Mark P. & Sarno, Lucio, 1998. "The behavior of real exchange rates during the post-Bretton Woods period," Journal of International Economics, Elsevier, vol. 46(2), pages 281-312, December.
    25. Tjøstheim, Dag, 1986. "Estimation in nonlinear time series models," Stochastic Processes and their Applications, Elsevier, vol. 21(2), pages 251-273, February.
    26. Hendry, David F., 1984. "Monte carlo experimentation in econometrics," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 16, pages 937-976, Elsevier.
    27. O'Connell, P. G. J., 1998. "Market frictions and real exchange rates1," Journal of International Money and Finance, Elsevier, vol. 17(1), pages 71-95, February.
    28. Kenneth A. Froot & Michael Kim & Kenneth Rogoff, 2019. "The Law of One Price Over 700 Years," Annals of Economics and Finance, Society for AEF, vol. 20(1), pages 1-35, May.
    29. Isard, Peter, 1977. "How Far Can We Push the "Law of One Price"?," American Economic Review, American Economic Association, vol. 67(5), pages 942-948, December.
    30. Engel, Charles, 1993. "Real exchange rates and relative prices : An empirical investigation," Journal of Monetary Economics, Elsevier, vol. 32(1), pages 35-50, August.
    31. 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.
    32. 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.
    33. Lucio Sarno, 2000. "Systematic sampling and real exchange rates," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 136(1), pages 24-57, March.
    34. O'Connell, Paul G. J. & Wei, Shang-Jin, 2002. ""The bigger they are, the harder they fall": Retail price differences across U.S. cities," Journal of International Economics, Elsevier, vol. 56(1), pages 21-53, January.
    35. Lothian, James R. & Taylor, Mark P., 2000. "Purchasing power parity over two centuries: strengthening the case for real exchange rate stability: A reply to Cuddington and Liang," Journal of International Money and Finance, Elsevier, vol. 19(5), pages 759-764, October.
    36. David C. Parsley & Shang-Jin Wei, 1996. "Convergence to the Law of One Price Without Trade Barriers or Currency Fluctuations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(4), pages 1211-1236.
    37. 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.
    38. Cheung, Yin-Wong & Lai, Kon S., 1993. "Long-run purchasing power parity during the recent float," Journal of International Economics, Elsevier, vol. 34(1-2), pages 181-192, February.
    39. 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 1309-1319, September.
    40. Pippenger, Michael K & Goering, Gregory E, 1993. "A Note on the Empirical Power of Unit Root Tests under Threshold Processes," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 55(4), pages 473-481, November.
    41. Cheung, Yin-Wong & Lai, Kon S., 2000. "On the purchasing power parity puzzle," Journal of International Economics, Elsevier, vol. 52(2), pages 321-330, December.
    42. Knetter, Michael M, 1993. "International Comparisons of Price-to-Market Behavior," American Economic Review, American Economic Association, vol. 83(3), pages 473-486, June.
    43. Lothian, James R & Taylor, Mark P, 1996. "Real Exchange Rate Behavior: The Recent Float from the Perspective of the Past Two Centuries," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 488-509, June.
    44. Avinash Dixit, 1989. "Hysteresis, Import Penetration, and Exchange Rate Pass-Through," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 205-228.
    45. Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," The Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-180.
    46. Betts, Caroline & Devereux, Michael B., 2000. "Erratum to "Exchange rate dynamics in a model of pricing-to-market": [Journal of International Economics 50 (2000) 214-244]," Journal of International Economics, Elsevier, vol. 52(1), pages 207-208, October.
    47. Hansen Bruce E., 1997. "Inference in TAR Models," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 2(1), pages 1-16, April.
    48. Cheung, Yin-Wong & Lai, Kon S, 1993. "A Fractional Cointegration Analysis of Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 103-112, January.
    49. Betts, Caroline & Devereux, Michael B., 2000. "Exchange rate dynamics in a model of pricing-to-market," Journal of International Economics, Elsevier, vol. 50(1), pages 215-244, February.
    50. Clive Granger & Tae-Hwy Lee, 1999. "The effect of aggregation on nonlinearity," Econometric Reviews, Taylor & Francis Journals, vol. 18(3), pages 259-269.
    51. Michael, Panos & Nobay, A Robert & Peel, David, 1994. "Purchasing power parity yet again: evidence from spatially separated commodity markets," Journal of International Money and Finance, Elsevier, vol. 13(6), pages 637-657, December.
    52. Benninga, Simon & Protopapadakis, Aris, 1988. "The equilibrium pricing of exchange rates and assets when trade takes time," Journal of International Money and Finance, Elsevier, vol. 7(2), pages 129-149, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lucio Sarno & Mark P. Taylor, 2002. "Purchasing Power Parity and the Real Exchange Rate," IMF Staff Papers, Palgrave Macmillan, vol. 49(1), pages 1-5.
    2. 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.
    3. Franses, Ph.H.B.F. & van Dijk, D.J.C., 2002. "A simple test for PPP among traded goods," Econometric Institute Research Papers EI 2002-02, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    4. Juvenal Luciana & Taylor Mark P., 2008. "Threshold Adjustment of Deviations from the Law of One Price," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(3), pages 1-46, September.
    5. 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.
    6. Alan M. Taylor & Mark P. Taylor, 2004. "The Purchasing Power Parity Debate," Journal of Economic Perspectives, American Economic Association, vol. 18(4), pages 135-158, Fall.
    7. Ibrahim Chowdhury, 2004. "Purchasing Power Parity and the Real Exchange Rate in Bangladesh: A Nonlinear Analysis," Working Paper Series in Economics 14, University of Cologne, Department of Economics.
    8. Margarida Duarte, 2001. "International pricing in new open-economy models," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 53-70.
    9. 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.
    10. Lucio Sarno, 2003. "Nonlinear Exchange Rate Models: A Selective Overview," Rivista di Politica Economica, SIPI Spa, vol. 93(4), pages 3-46, July-Augu.
    11. Georg H. Strasser, 2010. "The Efficiency of the Global Markets for Final Goods and Productive Capabilities," Boston College Working Papers in Economics 766, Boston College Department of Economics, revised 31 Jan 2012.
    12. Rodolphe Blavy & Luciana Juvenal, 2009. "Mexico's integration into NAFTA markets: a view from sectoral real exchange rates," Review, Federal Reserve Bank of St. Louis, vol. 91(Sep), pages 441-464.
    13. 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.
    14. Hwa-Taek Lee & Gawon Yoon, 2013. "Does purchasing power parity hold sometimes? Regime switching in real exchange rates," Applied Economics, Taylor & Francis Journals, vol. 45(16), pages 2279-2294, June.
    15. Nakagawa, Hironobu, 2010. "Investigating nonlinearities in real exchange rate adjustment: Threshold cointegration and the dynamics of exchange rates and relative prices," Journal of International Money and Finance, Elsevier, vol. 29(5), pages 770-790, September.
    16. Hyginus Leon & Serineh Najarian, 2005. "Asymmetric adjustment and nonlinear dynamics in real exchange rates," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 10(1), pages 15-39.
    17. Apte, Prakash & Sercu, Piet & Uppal, Raman, 2004. "The exchange rate and purchasing power parity: extending the theory and tests," Journal of International Money and Finance, Elsevier, vol. 23(4), pages 553-571, June.
    18. 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.
    19. Lucio Sarno, 2000. "Systematic sampling and real exchange rates," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 136(1), pages 24-57, March.
    20. Cheung, Yin-Wong & Lai, Kon S. & Bergman, Michael, 2004. "Dissecting the PPP puzzle: the unconventional roles of nominal exchange rate and price adjustments," Journal of International Economics, Elsevier, vol. 64(1), pages 135-150, October.

    More about this item

    Keywords

    Law of one price; Purchasing power parity; Real exchange rate; Threshold non-linearity; Mean reversion;
    All these keywords.

    JEL classification:

    • F31 - International Economics - - International Finance - - - Foreign Exchange

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cpr:ceprdp:3377. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://www.cepr.org .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.