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A century of purchasing power parity confirmed: The role of nonlinearity

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  • Kim, Hyeongwoo
  • Moh, Young-Kyu

Abstract

Taylor (2002) claims that Purchasing Power Parity (PPP) has held over the 20th century based on strong evidence of stationary for century-long real exchange rates for 20 countries. Lopez et al. (2005), however, found much weaker evidence of PPP with alternative lag selection methods. We reevaluate Taylor's claim by implementing a recently developed nonlinear unit root test by Park and Shintani (2005). We find strong evidence of nonlinear mean-reversion in real exchange rates that confirms Taylor's claim. We also find a possible misspecification problem in using the ESTAR model that may not be detected with Taylor-approximation based tests.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of International Money and Finance.

Volume (Year): 29 (2010)
Issue (Month): 7 (November)
Pages: 1398-1405

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Handle: RePEc:eee:jimfin:v:29:y:2010:i:7:p:1398-1405

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Web page: http://www.elsevier.com/locate/inca/30443

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Keywords: Purchasing power parity Transition autoregressive process Inf-t unit root test;

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References

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  1. van Dijk, Dick & Teräsvirta, Timo & Franses, Philip Hans, 2000. "Smooth Transition Autoregressive Models - A Survey of Recent Developments," Working Paper Series in Economics and Finance 380, Stockholm School of Economics, revised 17 Jan 2001.
  2. Mario J. Crucini & Mototsugu Shintani, 2002. "Persistence in Law-Of-One-Price Deviations: Evidence from Micro-Data," Vanderbilt University Department of Economics Working Papers 0222, Vanderbilt University Department of Economics, revised Jul 2004.
  3. George Kapetanios & Yongcheol Shin, 2002. "Unit Root Tests in Three-Regime SETAR Models," Working Papers 465, Queen Mary, University of London, School of Economics and Finance.
  4. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
  5. Joon Y. Park & Mototsugu Shintani, 2006. "Testing for a Unit Root against Transitional Autoregressive Models," Levine's Bibliography 321307000000000316, UCLA Department of Economics.
  6. Frederic Bec & Melika Ben Salem & Marine Carrasco, 2004. "Tests for Unit-Root versus Threshold Specification With an Application to the Purchasing Power Parity Relationship," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 382-395, October.
  7. Alan M. Taylor, 2000. "Potential Pitfalls for the Purchasing-Power-Parity Puzzle? Sampling and Specification Biases in Mean-Reversion Tests of the Law of One Price," NBER Working Papers 7577, National Bureau of Economic Research, Inc.
  8. Hall, Alastair R, 1994. "Testing for a Unit Root in Time Series with Pretest Data-Based Model Selection," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 461-70, October.
  9. Hansen,B.E., 1998. "The grid bootstrap and the autoregressive model," Working papers 26, Wisconsin Madison - Social Systems.
  10. n/a, 2001. "Balance of payments prospects in EMU," NIESR Discussion Papers 164, National Institute of Economic and Social Research.
  11. Bruce E. Hansen & Mehmet Caner, 1997. "Threshold Autoregressions with a Unit Root," Boston College Working Papers in Economics 381, Boston College Department of Economics.
  12. Peel, David & Sarno, Lucio & Taylor, Mark P, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Towards a Solution to the Purchasing Power Parity Puzzles," CEPR Discussion Papers 2658, C.E.P.R. Discussion Papers.
  13. Harris, R. I. D., 1992. "Testing for unit roots using the augmented Dickey-Fuller test : Some issues relating to the size, power and the lag structure of the test," Economics Letters, Elsevier, vol. 38(4), pages 381-386, April.
  14. Lopez, Claude & Murray, Christian J & Papell, David H, 2005. "State of the Art Unit Root Tests and Purchasing Power Parity," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(2), pages 361-69, April.
  15. Alan M. Taylor, 2000. "A Century of Purchasing-Power Parity," NBER Working Papers 8012, National Bureau of Economic Research, Inc.
  16. 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 473-81, November.
  17. Seo, Myung Hwan, 2008. "Unit Root Test In A Threshold Autoregression: Asymptotic Theory And Residual-Based Block Bootstrap," Econometric Theory, Cambridge University Press, vol. 24(06), pages 1699-1716, December.
  18. 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 862-79, August.
  19. Kapetanios, George & Shin, Yongcheol & Snell, Andy, 2003. "Testing for a unit root in the nonlinear STAR framework," Journal of Econometrics, Elsevier, vol. 112(2), pages 359-379, February.
  20. Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-80.
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Citations

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Cited by:
  1. Phiri, Andrew, 2014. "Purchasing power parity (PPP) between South Africa and her main currency exchange partners: Evidence from asymmetric unit root tests and threshold co-integration analysis," MPRA Paper 53659, University Library of Munich, Germany.
  2. Wallace, Frederick, 2009. "Cointegration tests of purchasing power parity," MPRA Paper 18079, University Library of Munich, Germany.
  3. Hyeongwoo Kim & Deockhyun Ryu, 2013. "A Nonparametric Study of Real Exchange Rate Persistence over a Century," Auburn Economics Working Paper Series auwp2013-08, Department of Economics, Auburn University.
  4. Lau, Chi Keung Marco & Suvankulov, Farrukh & Su, Yongyang & Chau, Frankie, 2012. "Some cautions on the use of nonlinear panel unit root tests: Evidence from a modified series-specific non-linear panel unit-root test," Economic Modelling, Elsevier, vol. 29(3), pages 810-816.

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