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Price Level Convergence, Purchasing Power Parity and Multiple Structural Breaks in Panel Data Analysis: An Application to U.S. Cities

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  • Basher Syed A.

    (Qatar Central Bank)

  • Carrion-i-Silvestre Josep Lluís

    (University of Barcelona)

Abstract

This article provides a methodological and empirical approach for assessing price level convergence and its relation to purchasing power parity (PPP) using annual price data for seventeen U.S. cities during the period 1918 to 2005. We suggest a new panel data procedure that can handle a wide range of PPP concepts in the presence of multiple structural breaks using all possible pairs of real exchange rates. Testing for PPP requires the definition of parametric restrictions (parity restrictions) across regimes. In general, we find more evidence for stationarity when the parity restriction is not imposed, while imposing parity restriction leads toward the rejection of the panel stationarity. Our results can be embedded in the view of the Balassa-Samuelson approach, but where the slope of the time trend is allowed to change in the long-run.

Suggested Citation

  • Basher Syed A. & Carrion-i-Silvestre Josep Lluís, 2009. "Price Level Convergence, Purchasing Power Parity and Multiple Structural Breaks in Panel Data Analysis: An Application to U.S. Cities," Journal of Time Series Econometrics, De Gruyter, vol. 1(1), pages 1-38, April.
    • Handle: RePEc:bpj:jtsmet:v:1:y:2009:i:1:n:3
    DOI: 10.2202/1941-1928.1000
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    1. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    2. Charles Engel, 1999. "Accounting for U.S. Real Exchange Rate Changes," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 507-538, June.
    3. Donggyu Sul & Peter C. B. Phillips & Chi‐Young Choi, 2005. "Prewhitening Bias in HAC Estimation," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(4), pages 517-546, August.
    4. Hegwood, Natalie D & Papell, David H, 1998. "Quasi Purchasing Power Parity," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 3(4), pages 279-289, October.
    5. Perron, Pierre & Vogelsang, Timothy J., "undated". "Level Shifts and Purchasing Power Parity," Instructional Stata datasets for econometrics levshift, Boston College Department of Economics.
    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. Rogers, John H., 2007. "Monetary union, price level convergence, and inflation: How close is Europe to the USA?," Journal of Monetary Economics, Elsevier, vol. 54(3), pages 785-796, April.
    8. Whitney K. Newey & Kenneth D. West, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(4), pages 631-653.
    9. Koo, Jahyeong & Phillips, Keith R & Sigalla, Fiona D, 2000. "Measuring Regional Cost of Living," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(1), pages 127-136, January.
    10. Bela Balassa, 1964. "The Purchasing-Power Parity Doctrine: A Reappraisal," Journal of Political Economy, University of Chicago Press, vol. 72(6), pages 584-584.
    11. 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.
    12. Anindya Banerjee & Massimiliano Marcellino & Chiara Osbat, 2004. "Some cautions on the use of panel methods for integrated series of macroeconomic data," Econometrics Journal, Royal Economic Society, vol. 7(2), pages 322-340, December.
    13. Stephen G. Cecchetti & Nelson C. Mark & Robert J. Sonora, 2002. "Price Index Convergence Among United States Cities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(4), pages 1081-1099, November.
    14. Moon, H.R.Hyungsik Roger & Perron, Benoit, 2004. "Testing for a unit root in panels with dynamic factors," Journal of Econometrics, Elsevier, vol. 122(1), pages 81-126, September.
    15. Harris, David & Leybourne, Stephen & McCabe, Brendan, 2005. "Panel Stationarity Tests for Purchasing Power Parity With Cross-Sectional Dependence," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 395-409, October.
    16. Kaddour Hadri, 2000. "Testing for stationarity in heterogeneous panel data," Econometrics Journal, Royal Economic Society, vol. 3(2), pages 148-161.
    17. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    18. Gadea, Maria-Dolores & Montanes, Antonio & Reyes, Marcelo, 2004. "The European Union currencies and the US dollar: from post-Bretton-Woods to the Euro," Journal of International Money and Finance, Elsevier, vol. 23(7-8), pages 1109-1136.
    19. Mario J. Crucini & Chris I. Telmer & Marios Zachariadis, 2005. "Understanding European Real Exchange Rates," American Economic Review, American Economic Association, vol. 95(3), pages 724-738, June.
    20. Rubina Vohra, 1998. "Convergence (divergence) and the U.S. states," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 26(4), pages 372-378, December.
    21. Chang, Yoosoon, 2002. "Nonlinear IV unit root tests in panels with cross-sectional dependency," Journal of Econometrics, Elsevier, vol. 110(2), pages 261-292, October.
    22. M. Hashem Pesaran, 2021. "General diagnostic tests for cross-sectional dependence in panels," Empirical Economics, Springer, vol. 60(1), pages 13-50, January.
    23. M. Hashem Pesaran & Ron Smith & Takashi Yamagata & Lyudmyla Hvozdyk, 2009. "Pairwise Tests of Purchasing Power Parity," Econometric Reviews, Taylor & Francis Journals, vol. 28(6), pages 495-521.
    24. Josep Lluís Carrion-i-Silvestre & Tomás del Barrio-Castro & Enrique López-Bazo, 2005. "Breaking the panels: An application to the GDP per capita," Econometrics Journal, Royal Economic Society, vol. 8(2), pages 159-175, July.
    25. Zhongjun Qu & Pierre Perron, 2007. "Estimating and Testing Structural Changes in Multivariate Regressions," Econometrica, Econometric Society, vol. 75(2), pages 459-502, March.
    26. 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.
    27. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    28. Carrion-i-Silvestre, Josep Lluis, 2003. "Breaking date misspecification error for the level shift KPSS test," Economics Letters, Elsevier, vol. 81(3), pages 365-371, December.
    29. Chen, L. L. & Devereux, J., 2003. "What can US city price data tell us about purchasing power parity?," Journal of International Money and Finance, Elsevier, vol. 22(2), pages 213-222, April.
    30. Kurozumi, Eiji, 2002. "Testing for stationarity with a break," Journal of Econometrics, Elsevier, vol. 108(1), pages 63-99, May.
    31. Papell, David H. & Prodan, Ruxandra, 2006. "Additional Evidence of Long-Run Purchasing Power Parity with Restricted Structural Change," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(5), pages 1329-1349, August.
    32. Kyung‐So Im & Junsoo Lee & Margie Tieslau, 2005. "Panel LM Unit‐root Tests with Level Shifts," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(3), pages 393-419, June.
    33. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-320, July.
    34. G. S. Maddala & Shaowen Wu, 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(S1), pages 631-652, November.
    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. Ng, Serena, 2006. "Testing Cross-Section Correlation in Panel Data Using Spacings," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 12-23, January.
    38. Bernard, Andrew B & Jones, Charles I, 1996. "Productivity and Convergence across U.S. States and Industries," Empirical Economics, Springer, vol. 21(1), pages 113-135.
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    2. Hiranya K. Nath & Jayanta Sarkar, 2014. "City Relative Price Dynamics in Australia: Are Structural Breaks Important?," The Economic Record, The Economic Society of Australia, vol. 90(288), pages 33-48, March.
    3. Hegwood, Natalie D. & Nath, Hiranya K., 2013. "Structural breaks and relative price convergence among US cities," Journal of Macroeconomics, Elsevier, vol. 36(C), pages 150-160.
    4. Sonora, Robert, 2010. "Asymmetries in New Keynesian Phillips Curves: Evidence from US Cities," MPRA Paper 24650, University Library of Munich, Germany.
    5. Ceyhun Can Ozcan & Ahmet Sahbaz & Ugur Ad?guzel & Saban Nazlioglu, 2014. "The Nature of Shocks to Turkish exchange rates: what panel approach says?," Proceedings of Economics and Finance Conferences 0401591, International Institute of Social and Economic Sciences.
    6. R dvan Karacan & Zisan Kilickan, 2018. "Investigation the Correlation between Purchasing Power Parity, Per Capita Gross Domestic Product and the Price Level Indices with Panel Data Analysis: Evidence from New Zealand, USA, Germany, Canada a," International Journal of Economics and Financial Issues, Econjournals, vol. 8(6), pages 15-19.
    7. repec:qut:auncer:2013_01 is not listed on IDEAS
    8. Pauwels Laurent L. & Chan Felix & Mancini Griffoli Tommaso, 2012. "Testing for Structural Change in Heterogeneous Panels with an Application to the Euro's Trade Effect," Journal of Time Series Econometrics, De Gruyter, vol. 4(2), pages 1-35, November.
    9. He, Huizhen & Ranjbar, Omid & Chang, Tsangyao, 2013. "Purchasing power parity in transition countries: Old wine with new bottle," Japan and the World Economy, Elsevier, vol. 28(C), pages 24-32.
    10. Ho-Chuan Huang & Pei-Chien Lin & Chih-Chuan Yeh, 2011. "Price level convergence across cities? Evidence from panel unit root tests," Applied Economics Letters, Taylor & Francis Journals, vol. 18(1), pages 87-93.
    11. Syed A. Basher & Josep Lluis Carrión-i-Silvestre, 2008. "Deconstructing Shocks and Persistence in OECD Real Exchange Rates," Working Papers XREAP2008-06, Xarxa de Referència en Economia Aplicada (XREAP), revised Jun 2008.
    12. Chang, Tsangyao & Chu, Hsiao-Ping & Ranjbar, Omid, 2014. "Are GDP fluctuations transitory or permanent in African countries? Sequential Panel Selection Method," International Review of Economics & Finance, Elsevier, vol. 29(C), pages 380-399.
    13. Adiguzel, Ugur & Sahbaz, Ahmet & Ozcan, Ceyhun Can & Nazlioglu, Saban, 2014. "The behavior of Turkish exchange rates: A panel data perspective," Economic Modelling, Elsevier, vol. 42(C), pages 177-185.
    14. Syed Basher & Josep Carrion-i-Silvestre, 2011. "Measuring persistence of U.S. city prices: new evidence from robust tests," Empirical Economics, Springer, vol. 41(3), pages 739-745, December.

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