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Structural Breaks and Relative Price Convergence among U.S. Cities

Author

Listed:
  • Hiranya K. Nath

    (Department of Economics and International Business, Sam Houston State University)

  • Natalie Hegwood

    (Department of Economics and International Business, Sam Houston State University)

Abstract
This paper examines price index convergence among U. S. cities by applying panel unit root test procedures that allow for structural breaks to annual CPI data between 1918 and 2010 for 17 major cities. With an endogenously determined single break in 1985, and two breaks in 1943 and 1990 respectively, the test results provide overwhelming evidence of convergence of relative prices across cities, which is consistent with the existing literature. Most importantly, this study finds that the speed of convergence with structural break(s) is much faster than that reported by previous panel studies with no structural break. Furthermore, correcting for small-sample bias (the so-called “Nickell Bias”) and time aggregation bias generates a half-life of 2.8 years with two breaks, which is 74% shorter than the half-life estimate with no structural break and no bias correction. These results highlight the importance of structural break(s) and bias correction in obtaining reasonable panel estimates of the half-life to relative price convergence among U. S. cities.

Suggested Citation

  • Hiranya K. Nath & Natalie Hegwood, 2012. "Structural Breaks and Relative Price Convergence among U.S. Cities," Working Papers 1204, Sam Houston State University, Department of Economics and International Business.
    • Handle: RePEc:shs:wpaper:1204
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    1. Hercowitz, Zvi, 1981. "Money and the Dispersion of Relative Prices," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 328-356, April.
    2. Josep LluIs Carrion-I-Silvestre & Tomas Del Barrio & Enrique Lopez-Bazo, 2004. "Evidence on the purchasing power parity in a panel of cities," Applied Economics, Taylor & Francis Journals, vol. 36(9), pages 961-966.
    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, President and Fellows of Harvard College, vol. 120(1), pages 1-43.
    4. 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.
    5. Domberger, Simon, 1987. "Relative Price Variability and Inflation: A Disaggregated Analysis," Journal of Political Economy, University of Chicago Press, vol. 95(3), pages 547-566, June.
    6. Chi-Young Choi & Nelson C. Mark & Donggyu Sul, 2004. "Bias Reduction by Recursive Mean Adjustment in Dynamic Panel Data Models," Econometrics 0409005, University Library of Munich, Germany.
    7. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    8. Perron, Pierre & Vogelsang, Timothy J., "undated". "Level Shifts and Purchasing Power Parity," Instructional Stata datasets for econometrics levshift, Boston College Department of Economics.
    9. Jörg Breitung & Bertrand Candelon, 2005. "Purchasing Power Parity during Currency Crises: A Panel Unit Root Test under Structural Breaks," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 141(1), pages 124-140, April.
    10. Engel, Charles & Rogers, John H, 1996. "How Wide Is the Border?," American Economic Review, American Economic Association, vol. 86(5), pages 1112-1125, December.
    11. 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.
    12. Hiranya K. Nath & Jayanta Sarkar, 2009. "Unbiased Estimation of the Half‐Life to Price Index Convergence among U.S. Cities," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(5), pages 1041-1046, August.
    13. 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.
    14. Lach, Saul & Tsiddon, Daniel, 1992. "The Behavior of Prices and Inflation: An Empirical Analysis of Disaggregated Price Data," Journal of Political Economy, University of Chicago Press, vol. 100(2), pages 349-389, April.
    15. Konieczny, Jerzy D. & Skrzypacz, Andrzej, 2005. "Inflation and price setting in a natural experiment," Journal of Monetary Economics, Elsevier, vol. 52(3), pages 621-632, April.
    16. Chmelarova, Viera & Nath, Hiranya K., 2010. "Relative price convergence among US cities: Does the choice of numeraire city matter?," Journal of Macroeconomics, Elsevier, vol. 32(1), pages 405-414, March.
    17. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    18. 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.
    19. Robin L. Lumsdaine & David H. Papell, 1997. "Multiple Trend Breaks And The Unit-Root Hypothesis," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 212-218, May.
    20. 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.
    21. Natalie Hegwood & David H. Papell, 2007. "Are Real GDP Levels Trend, Difference, or Regime-Wise Trend Stationary? Evidence from Panel Data Tets Incorporating Structural Change," Southern Economic Journal, John Wiley & Sons, vol. 74(1), pages 104-113, July.
    22. Nath, Hiranya K., 2004. "Inflation and relative price variability: short-run vs. long-run," Economics Letters, Elsevier, vol. 82(3), pages 363-369, March.
    23. 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.
    24. 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.
    25. Narayan, Paresh Kumar, 2008. "The purchasing power parity revisited: New evidence for 16 OECD countries from panel unit root tests with structural breaks," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 18(2), pages 137-146, April.
    26. Phillips, Peter C.B. & Sul, Donggyu, 2007. "Bias in dynamic panel estimation with fixed effects, incidental trends and cross section dependence," Journal of Econometrics, Elsevier, vol. 137(1), pages 162-188, March.
    27. 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.
    28. 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.
    29. Chi‐Young Choi, 2010. "Reconsidering the Relationship between Inflation and Relative Price Variability," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(5), pages 769-798, August.
    30. Vining, Daniel R, Jr & Elwertowski, Thomas C, 1976. "The Relationship between Relative Prices and the General Price Level," American Economic Review, American Economic Association, vol. 66(4), pages 699-708, September.
    31. Natalie D. Hegwood & David H. Papell, 2002. "Purchasing Power Parity under the Gold Standard," Southern Economic Journal, John Wiley & Sons, vol. 69(1), pages 72-91, July.
    32. 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.
    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. Crucini, Mario J. & Shintani, Mototsugu, 2008. "Persistence in law of one price deviations: Evidence from micro-data," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 629-644, April.
    35. Reinsdorf, Marshall, 1994. "New Evidence on the Relation between Inflation and Price Dispersion," American Economic Review, American Economic Association, vol. 84(3), pages 720-731, June.
    36. Debelle, Guy & Lamont, Owen, 1997. "Relative Price Variability and Inflation: Evidence from U.S. Cities," Journal of Political Economy, University of Chicago Press, vol. 105(1), pages 132-152, February.
    37. Mick Silver & Christos Ioannidis, 2001. "Intercountry Differences in the Relationship between Relative Price Variability and Average Prices," Journal of Political Economy, University of Chicago Press, vol. 109(2), pages 355-374, April.
    38. Van Hoomissen, Theresa, 1988. "Price Dispersion and Inflation: Evidence from Israel," Journal of Political Economy, University of Chicago Press, vol. 96(6), pages 1303-1314, December.
    39. Culver, Sarah E. & Papell, David H., 1995. "Real exchange rates under the gold standard: can they be explained by the trend break model?," Journal of International Money and Finance, Elsevier, vol. 14(4), pages 539-548, August.
    40. Stanley Fischer, 1981. "Relative Shocks, Relative Price Variability, and Inflation," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 12(2), pages 381-442.
    41. 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.
    42. Maurice Obstfeld., 1993. "Model Trending Real Exchange Rates," Center for International and Development Economics Research (CIDER) Working Papers C93-011, University of California at Berkeley.
    43. Bela Balassa, 1964. "The Purchasing-Power Parity Doctrine: A Reappraisal," Journal of Political Economy, University of Chicago Press, vol. 72(6), pages 584-584.
    44. Yao, Yi-Ching, 1988. "Estimating the number of change-points via Schwarz' criterion," Statistics & Probability Letters, Elsevier, vol. 6(3), pages 181-189, February.
    45. André Sapir & Jaime de Melo, 1991. "Trade theory and economic reform: North, South and East," ULB Institutional Repository 2013/8084, ULB -- Universite Libre de Bruxelles.
    46. 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.
    47. Robert J. Sonora, 2005. "City CPI Convergence in Mexico," Review of Development Economics, Wiley Blackwell, vol. 9(3), pages 359-367, August.
    48. Nickell, Stephen J, 1981. "Biases in Dynamic Models with Fixed Effects," Econometrica, Econometric Society, vol. 49(6), pages 1417-1426, November.
    49. Robert Sonora, 2009. "City relative price convergence in the USA with structural break(s)," Applied Economics Letters, Taylor & Francis Journals, vol. 16(9), pages 939-944.
    50. Parks, Richard W, 1978. "Inflation and Relative Price Variability," Journal of Political Economy, University of Chicago Press, vol. 86(1), pages 79-95, February.
    51. Prodan, Ruxandra, 2008. "Potential Pitfalls in Determining Multiple Structural Changes With an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 50-65, January.
    52. Jushan Bai & Pierre Perron, 2003. "Computation and analysis of multiple structural change models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 1-22.
    53. 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.
    54. 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.
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