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

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.

[1]  R. Uppal,et al.  The Exchange Rate in the Presence of Transaction Costs: Implications for Tests of Purchasing Power Parity , 1995 .

[2]  J. Richardson Some empirical evidence on commodity arbitrage and the law of one price , 1978 .

[3]  G. Cassel,et al.  Money and Foreign Exchange after 1914. , 1923 .

[4]  James R. Lothian,et al.  Multi-Country Evidence on the Behavior of Purchasing Power Parity Under the Current Float , 1997 .

[5]  Eli F. Heckscher Växelkursens grundval vid pappersmyntfot , 1916 .

[6]  R. Feenstra,et al.  Exact Hedonic Price Indexes , 1995 .

[7]  Paul Krugman,et al.  Exchange-Rate Instability , 1988 .

[8]  Kenneth Rogoff,et al.  Chapter 32 Perspectives on PPP and long-run real exchange rates , 1995 .

[9]  Ying-Wong Cheung,et al.  On the purchasing power parity puzzle , 2000 .

[10]  Menzie David Chinn Asian Pacific Real Exchange Rates and Relative Prices , 1996 .

[11]  A. Giovannini Exchange rates and traded goods prices , 1988 .

[12]  R. Davies Hypothesis testing when a nuisance parameter is present only under the alternative , 1977 .

[13]  B. Dumas Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World , 1992 .

[14]  Avinash Dixit,et al.  Hysteresis, Import Penetration, and Exchange Rate Pass-Through , 1989 .

[15]  'The Bigger They Are, The Harder They Fall': Retail Price Differences Across U.S. Cities , 2002 .

[16]  S. Benninga,et al.  The equilibrium pricing of exchange rates and assets when trade takes time , 1988 .

[17]  Lucio Sarno,et al.  Toward a New Paradigm in Open Economy Modeling: Where Do We Stand? , 2001 .

[18]  D. Peel,et al.  Transactions Costs and Nonlinear Adjustment in Real Exchange Rates; An Empirical Investigation , 1997, Journal of Political Economy.

[19]  Clive W. J. Granger,et al.  The effect of aggregation on nonlinearity , 1999 .

[20]  Alan M. Taylor,et al.  Potential Pitfalls for the Purchasing-Power-Parity Puzzle? Sampling and Specification Biases in Mean-Reversion Tests of the Law of One Price , 2000 .

[21]  K. Lai,et al.  Long-run purchasing power parity during the recent float , 1993 .

[22]  D. Andrews,et al.  Optimal Tests When a Nuisance Parameter Is Present Only Under the Alternative , 1992 .

[23]  Jerry Coakley,et al.  New panel unit root tests of PPP , 1997 .

[24]  P. Samuelson The Transfer Problem and Transport Costs, II: Analysis of Effects of Trade Impediments , 1954 .

[25]  L. Sarno Systematic sampling and real exchange rates , 2000 .

[26]  Mark P. Taylor,et al.  The behavior of real exchange rates during the post-Bretton Woods period , 1998 .

[27]  R. Feenstra,et al.  Pricing to Market, Staggered Contracts, and Real Exchange Rate Persistence , 1999 .

[28]  R. Feenstra,et al.  Pass-through of exchange rates and purchasing power parity , 1997 .

[29]  P. O'Connell Market frictions and real exchange rates , 1998 .

[30]  H. Tong Non-linear time series. A dynamical system approach , 1990 .

[31]  Kenneth Rogoff,et al.  The Purchasing Power Parity Puzzle , 1996 .

[32]  J. Richardson,et al.  Real-Financial Linkages Among Open Economies , 1987 .

[33]  David F. Hendry,et al.  Monte carlo experimentation in econometrics , 1984 .

[34]  William R. Melick,et al.  Understanding the empirical literature on purchasing power parity: the post-Bretton Woods era , 1997 .

[35]  M. Knetter Did the Strong Dollar Increase Competition in U.S. Product Markets , 1994 .

[36]  Alan M. Taylor,et al.  Measuring Market Integration: A Model of Arbitrage with an Econometric Application to the Gold Standard, 1879-1913 , 1997 .

[37]  Douglas M. Patterson,et al.  Nonlinear Dynamics, Chaos, And Instability , 1994 .

[38]  M. Devereux,et al.  Exchange rate dynamics in a model of pricing-to-market , 2000 .

[39]  L. Sarno Real exchange rate behavior in the Middle East: a re-examination , 2000 .

[40]  Peter Isard How Far Can We Push the "Law of One Price"? , 1976 .

[41]  M. Chinn,et al.  Market Structure and the Persistence of Sectoral Real Exchange Rates , 1999 .

[42]  B. Hansen,et al.  Inference in TAR Models , 1997 .

[43]  S. Wei,et al.  Convergence to the Law of One Price Without Trade Barriers or Currency Fluctuations , 1996 .

[44]  Ying-Wong Cheung,et al.  A Fractional Cointegration Analysis of Purchasing Power Parity , 1993 .

[45]  Kenneth A. Froot,et al.  The Law of One Price Over 700 Years , 1995, SSRN Electronic Journal.

[46]  M. Taylor,et al.  Purchasing Power Parity Over Two Centuries: Strengthening the Case for Real Exchange Rate Stability Reply to Cuddington and Liang , 2000 .

[47]  M. Knetter International Comparisons of Pricing-to-Market Behavior , 1992 .

[48]  The Law of One Price Over 700 Years , 1995 .

[49]  C. Engel,et al.  How Wide is the Border? , 1994 .

[50]  Hung Man Tong,et al.  Threshold models in non-linear time series analysis. Lecture notes in statistics, No.21 , 1983 .

[51]  Mark P. Taylor,et al.  Real Exchange Rate Behavior: The Recent Float from the Perspective of the Past Two Centuries , 1996, Journal of Political Economy.

[52]  M. Knetter Price Discrimination by U.S. and German Exporters , 1989 .

[53]  Bruce E. Hansen,et al.  Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis , 1996 .

[54]  Mark P. Taylor,et al.  Purchasing Power Parity and the Real Exchange Rate , 2001, IMF Staff Papers.

[55]  K. Lai,et al.  On Cross-Country Differences in the Persistence of Real Exchange Rates , 1999, SSRN Electronic Journal.

[56]  D. Peel,et al.  Purchasing power parity yet again: evidence from spatially separated commodity markets , 1994 .

[57]  Alan M. Taylor A Century of Purchasing-Power Parity , 2000, Review of Economics and Statistics.

[58]  C. Engel,et al.  Real Exchange Rates and Relative Prices: An Empirical Investigation , 1992 .

[59]  Dag Tjøstheim,et al.  Estimation in nonlinear time series models , 1986 .

[60]  C. Granger,et al.  Modelling Nonlinear Economic Relationships , 1995 .

[61]  Mark P. Taylor,et al.  Nonlinear Mean‐Reversion in Real Exchange Rates: Toward a Solution To the Purchasing Power Parity Puzzles , 2001 .

[62]  P. Krugman,et al.  Pricing to Market When the Exchange Rate Changes , 1986 .

[63]  J. B. Ramsey,et al.  Tests for Specification Errors in Classical Linear Least‐Squares Regression Analysis , 1969 .

[64]  Steven Burt THE BIGGER THEY ARE, THE HARDER THEY FALL... , 1991 .

[65]  Kenneth S. Rogoff,et al.  The Six Major Puzzles in International Macroeconomics: Is There a Common Cause? , 2000 .

[66]  Ruey S. Tsay,et al.  Testing and Modeling Threshold Autoregressive Processes , 1989 .

[67]  L. Officer Purchasing power parity and exchange rates : theory, evidence and relevance , 1982 .

[68]  N. Davutyan,et al.  Testing purchasing power parity: some evidence of the effects of transaction costs , 1991 .

[69]  Alan M. Taylor,et al.  Nonlinear Aspects of Goods-Market Arbitrage and Adjustment: Heckscher's Commodity Points Revisited , 1997 .