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Why panel tests of purchasing power parity should allow for heterogeneous mean reversion

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  • Koedijk, Kees G.
  • Tims, Ben
  • van Dijk, Mathijs A.

Abstract

Recent studies of purchasing power parity (PPP) use panel tests that fail to take into account heterogeneity in the speed of mean reversion across real exchange rates. In contrast to several other severe restrictions of panel models and tests of PPP, the assumption of homogeneous mean reversion is still widely used and its consequences are virtually unexplored. This paper analyzes the properties of homogeneous and heterogeneous panel unit root testing methodologies. Using Monte Carlo simulation, we uncover important adverse properties of the panel approach that relies on homogeneous estimation and testing. More specifically, power functions are low and assume irregular shapes. Furthermore, homogeneous estimates of the mean reversion parameters exhibit potentially large biases. These properties can lead to misleading inferences on the validity of PPP. Our findings highlight the importance of allowing for heterogeneous estimation when testing for a unit root in panels of real exchange rates.

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  • Koedijk, Kees G. & Tims, Ben & van Dijk, Mathijs A., 2011. "Why panel tests of purchasing power parity should allow for heterogeneous mean reversion," Journal of International Money and Finance, Elsevier, vol. 30(1), pages 246-267, February.
  • Handle: RePEc:eee:jimfin:v:30:y:2011:i:1:p:246-267
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    1. Frankel, Jeffrey A. & Rose, Andrew K., 1996. "A panel project on purchasing power parity: Mean reversion within and between countries," Journal of International Economics, Elsevier, vol. 40(1-2), pages 209-224, February.
    2. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Chapters,in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220 National Bureau of Economic Research, Inc.
    3. 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.
    4. Shiu-Sheng Chen & Charles Engel, 2005. "Does 'Aggregation Bias' Explain The Ppp Puzzle?," Pacific Economic Review, Wiley Blackwell, vol. 10(1), pages 49-72, February.
    5. Breuer, Janice Boucher & McNown, Robert & Wallace, Myles, 2002. " Series-Specific Unit Root Tests with Panel Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 64(5), pages 527-546, December.
    6. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    7. 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.
    8. Papell, David H., 2002. "The great appreciation, the great depreciation, and the purchasing power parity hypothesis," Journal of International Economics, Elsevier, vol. 57(1), pages 51-82, June.
    9. Papell, David H., 1997. "Searching for stationarity: Purchasing power parity under the current float," Journal of International Economics, Elsevier, vol. 43(3-4), pages 313-332, November.
    10. Francisco Maeso-Fernandez & Chiara Osbat & Bernd Schnatz, 2002. "Determinants of the Euro Real Effective Exchange Rate: A BEER/PEER Approach," Australian Economic Papers, Wiley Blackwell, vol. 41(4), pages 437-461, December.
    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. Engel, Charles & Hendrickson, Michael K. & Rogers, John H., 1997. "Intranational, Intracontinental, and Intraplanetary PPP," Journal of the Japanese and International Economies, Elsevier, vol. 11(4), pages 480-501, December.
    13. Pesaran, M. Hashem & Smith, Ron, 1995. "Estimating long-run relationships from dynamic heterogeneous panels," Journal of Econometrics, Elsevier, vol. 68(1), pages 79-113, July.
    14. Nelson, Forrest D & Savin, N E, 1990. "The Danger of Extrapolating Asymptotic Local Power," Econometrica, Econometric Society, vol. 58(4), pages 977-981, July.
    15. 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.
    16. Breuer, Janice Boucher & McNown, Robert & Wallace, Myles S, 2001. "Misleading Inferences from Panel Unit-Root Tests with an Illustration from Purchasing Power Parity," Review of International Economics, Wiley Blackwell, vol. 9(3), pages 482-493, August.
    17. Papell, David H., 2006. "The Panel Purchasing Power Parity Puzzle," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(2), pages 447-467, March.
    18. Koedijk, Kees G. & Tims, Ben & van Dijk, Mathijs A., 2004. "Purchasing power parity and the euro area," Journal of International Money and Finance, Elsevier, vol. 23(7-8), pages 1081-1107.
    19. 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.
    20. 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.
    21. Claude Lopez & David H. Papell, 2007. "Convergence to Purchasing Power Parity at the Commencement of the Euro," Review of International Economics, Wiley Blackwell, vol. 15(1), pages 1-16, February.
    22. Wu, Jyh-Lin & Wu, Shaowen, 2001. "Is Purchasing Power Parity Overvalued?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(3), pages 804-812, August.
    23. 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.
    24. Jose M. Campa & Holger C. Wolf, 1997. "Is Real Exchange Rate Mean Reversion Caused By Arbitrage?," NBER Working Papers 6162, National Bureau of Economic Research, Inc.
    25. Choi, Chi-Young & Mark, Nelson C. & Sul, Donggyu, 2006. "Unbiased Estimation of the Half-Life to PPP Convergence in Panel Data," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(4), pages 921-938, June.
    26. Abuaf, Niso & Jorion, Philippe, 1990. " Purchasing Power Parity in the Long Run," Journal of Finance, American Finance Association, vol. 45(1), pages 157-174, March.
    27. 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.
    28. Jorion, Philippe & Sweeney, Richard J., 1996. "Mean reversion in real exchange rates: evidence and implications for forecasting," Journal of International Money and Finance, Elsevier, vol. 15(4), pages 535-550, August.
    29. Choi, Chi-Young, 2004. "Searching for evidence of long-run PPP from a post-Bretton Woods panel: separating the wheat from the chaff," Journal of International Money and Finance, Elsevier, vol. 23(7-8), pages 1159-1186.
    30. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
    31. Robertson, D & Symons, J, 1992. "Some Strange Properties of Panel Data Estimators," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(2), pages 175-189, April-Jun.
    32. Fleissig, Adrian R. & Strauss, Jack, 2000. "Panel unit root tests of purchasing power parity for price indices," Journal of International Money and Finance, Elsevier, vol. 19(4), pages 489-506, August.
    33. Murray, Christian J. & Papell, David H., 2002. "The purchasing power parity persistence paradigm," Journal of International Economics, Elsevier, vol. 56(1), pages 1-19, January.
    34. Boyd, Derick & Smith, Ron, 1999. "Testing for Purchasing Power Parity: Econometric Issues and an Application to Developing Countries," Manchester School, University of Manchester, vol. 67(3), pages 287-303, June.
    35. Levin, Andrew & Lin, Chien-Fu & James Chu, Chia-Shang, 2002. "Unit root tests in panel data: asymptotic and finite-sample properties," Journal of Econometrics, Elsevier, vol. 108(1), pages 1-24, May.
    36. Maddala, G S & Wu, Shaowen, 1999. " A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(0), pages 631-652, Special I.
    37. Papell, David H & Theodoridis, Hristos, 2001. "The Choice of Numeraire Currency in Panel Tests of Purchasing Power Parity," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(3), pages 790-803, August.
    38. Lutz Kilian & Tao Zha, 2002. "Quantifying the uncertainty about the half-life of deviations from PPP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(2), pages 107-125.
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    Cited by:

    1. Baharumshah & Siew-Voon Soon & Wohar, 2015. "Parity reversion in the Asian real exchange rates: new evidence from the local-persistent model," Applied Economics, Taylor & Francis Journals, vol. 47(59), pages 6395-6408, December.
    2. 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.
    3. Lee, Chien-Chiang & Lee, Chi-Chuan & Chiu, Yi-Bin, 2013. "The link between life insurance activities and economic growth: Some new evidence," Journal of International Money and Finance, Elsevier, vol. 32(C), pages 405-427.
    4. Cushman, David O. & Michael, Nils, 2011. "Nonlinear trends in real exchange rates: A panel unit root test approach," Journal of International Money and Finance, Elsevier, vol. 30(8), pages 1619-1637.
    5. 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.
    6. Offermanns, Christian J., 2014. "On the degree of homogeneity in dynamic heterogeneous panel data models," Discussion Papers 2014/25, Free University Berlin, School of Business & Economics.

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