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Mussa redux and conditional PPP

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  • Paul R. Bergin
  • Reuven Glick
  • Jyh-Lin Wu

Abstract

Long half-lives of real exchange rates are often used as evidence against monetary sticky price models. In this study we show how exchange rate regimes alter the long-run dynamics and half-life of the real exchange rate, and we recast the classic defense of such models by Mussa (1986) from an argument based on short-run volatility to one based on long-run dynamics. The first key result is that the extremely persistent real exchange rate found commonly in post Bretton Woods data does not apply to the preceding fixed exchange rate period in our sample, where the half-live was roughly half as large. This result suggests a reinterpretation of Mussa’s original finding, indicating that up to two thirds of the rise in variance of the real exchange rate in the recent floating rate period is actually due to the rise in persistence of the response to shocks, rather than due to a rise in the variance of shocks themselves. This result also suggests a way to resolve the “PPP puzzle,” reconciling real exchange rate persistence with volatility. The second key result explains the rise in persistence over time by identifying underlying shocks using a panel VECM model. Shocks to the nominal exchange rate induce more persistent real exchange rate responses compared to price shocks, and these shocks became more prevalent under a flexible exchange rate regime.

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Paper provided by Federal Reserve Bank of San Francisco in its series Working Paper Series with number 2012-14.

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Date of creation: 2012
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Handle: RePEc:fip:fedfwp:2012-14

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Keywords: Foreign exchange rates ; Monetary policy;

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  1. Peel, David & Sarno, Lucio & Taylor, Mark P, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Towards a Solution to the Purchasing Power Parity Puzzles," CEPR Discussion Papers 2658, C.E.P.R. Discussion Papers.
  2. Jean Imbs & Haroon Mumtaz & Morten O. Ravn & Helene Rey, 2003. "PPP Strikes Back: Aggregation and the Real Exchange Rate," IEHAS Discussion Papers 0307, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  3. Jon Steinsson, 2005. "The Dynamic Behavior of the Real Exchange Rate in Sticky Price Models," Economics wp28_jonst, Department of Economics, Central bank of Iceland.
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  7. David Papell, 1998. "The Great Appreciation, the Great Depreciation, and the Purchasing Power Parity Hypothesis," Working Papers 30, Oesterreichische Nationalbank (Austrian Central Bank).
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  11. Sarno, Lucio & Valente, Giorgio, 2006. "Deviations from purchasing power parity under different exchange rate regimes: Do they revert and, if so, how?," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 3147-3169, November.
  12. Christian J. Murray & David H. Papell, 2000. "The Purchasing Power Parity Persistence Paradigm," Econometric Society World Congress 2000 Contributed Papers 0017, Econometric Society.
  13. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
  14. M. Hashem Pesaran, 2004. "Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure," CESifo Working Paper Series 1331, CESifo Group Munich.
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  16. Lutz Kilian, 1998. "Small-Sample Confidence Intervals For Impulse Response Functions," The Review of Economics and Statistics, MIT Press, vol. 80(2), pages 218-230, May.
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