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Spatial considerations on the PPP debate

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  • Ca' Zorzi, Michele
  • Chudik, Alexander

Abstract

This paper studies the influence of aggregating across space when (i) testing the PPP theory or more generally pair-wise cointegration and (ii) evaluating the PPP puzzle. Our contribution is threefold: we show that aggregating foreign data and applying an ADF test may lead to erroneously reject the PPP hypothesis. We then show, on the basis of theoretical arguments as well as Monte Carlo experiments, that a sizable bias in the estimates of half-life deviations to PPP may be due to the effect of aggregation across space. We finally illustrate empirically the importance of spatial considerations when estimating the speed of price convergence among euro area countries. JEL Classification: C23, F41

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Bibliographic Info

Paper provided by European Central Bank in its series Working Paper Series with number 1534.

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Date of creation: Apr 2013
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Handle: RePEc:ecb:ecbwps:20131534

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Keywords: aggregation across space; cointegration; Half-life estimates; PPP; price convergence;

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  1. 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.
  2. Jean Imbs & Haroon Mumtaz & Morten Ravn & Hélène Rey, 2005. "PPP Strikes Back: Aggregation and the Real Exchange Rate," The Quarterly Journal of Economics, MIT Press, vol. 120(1), pages 1-43, January.
  3. Alexander Chudik & M. Hashem Pesaran & Elisa Tosetti, 2011. "Weak and strong cross‐section dependence and estimation of large panels," Econometrics Journal, Royal Economic Society, vol. 14(1), pages C45-C90, February.
  4. Michele Ca’ Zorzi & Michal Rubaszek, 2012. "Real exchange rate forecasting: a calibrated half-life PPP model can beat the random walk," National Bank of Poland Working Papers 123, National Bank of Poland, Economic Institute.
  5. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November.
  6. Chambers, Marcus J., 2005. "The purchasing power parity puzzle, temporal aggregation, and half-life estimation," Economics Letters, Elsevier, vol. 86(2), pages 193-198, February.
  7. Serena Ng & Pierre Perron, 1997. "Lag Length Selection and the Construction of Unit Root Tests with Good Size and Power," Boston College Working Papers in Economics 369, Boston College Department of Economics, revised 01 Sep 2000.
  8. 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.
  9. Benigno, Gianluca & Benigno, Pierpaolo, 2008. "Exchange rate determination under interest rate rules," Journal of International Money and Finance, Elsevier, vol. 27(6), pages 971-993, October.
  10. Charles Engel & Nelson C. Mark & Kenneth D. West, 2008. "Exchange Rate Models Are Not As Bad As You Think," NBER Chapters, in: NBER Macroeconomics Annual 2007, Volume 22, pages 381-441 National Bureau of Economic Research, Inc.
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