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Spatial considerations on the PPP debate

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  • Michele Ca'Zorzi
  • Alexander Chudik

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.

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Paper provided by Federal Reserve Bank of Dallas in its series Globalization and Monetary Policy Institute Working Paper with number 138.

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Date of creation: 2013
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Handle: RePEc:fip:feddgw:138

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Keywords: Macroeconomics;

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  1. 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.
  2. Charles Engel & Nelson C. Mark & Kenneth D. West, 2007. "Exchange Rate Models Are Not as Bad as You Think," NBER Working Papers 13318, National Bureau of Economic Research, Inc.
  3. 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.
  4. Jean Imbs & Haroon Mumtaz & Morton O. Ravn & Helene Rey, 2002. "PPP Strikes Back: Aggregation and the Real Exchange Rate," NBER Working Papers 9372, National Bureau of Economic Research, Inc.
  5. Chudik, Alexander & Pesaran, Hashem & Tosetti, Elisa, 2009. "Weak and strong cross section dependence and estimation of large panels," Working Paper Series 1100, European Central Bank.
  6. Chi-Young Choi & Nelson Mark & Donggyu Sul, 2004. "Unbiased Estimation of the Half-Life to PPP Convergence in Panel Data," NBER Working Papers 10614, National Bureau of Economic Research, Inc.
  7. 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.
  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. 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.
  10. 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.
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