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Aggregation and the PPP puzzle in a sticky-price model

  • Carlos Carvalho
  • Fernanda Nechio

We study the purchasing power parity (PPP) puzzle in a multi-sector, two-country, sticky- price model. Across sectors, firms differ in the extent of price stickiness, in accordance with recent microeconomic evidence on price setting in various countries. Combined with local currency pricing, this leads sectoral real exchange rates to have heterogeneous dynamics. We show analytically that in this economy, deviations of the real exchange rate from PPP are more volatile and persistent than in a counterfactual one-sector world economy that features the same average frequency of price changes, and is otherwise identical to the multi-sector world economy. When simulated with a sectoral distribution of price stickiness that matches the microeconomic evidence for the U.S. economy, the model produces a half-life of deviations from PPP of 39 months. In contrast, the half-life of such deviations in the counterfactual one-sector economy is only slightly above one year. As a by-product, our model provides a decomposition of this difference in persistence that allows a structural interpretation of the different approaches found in the empirical literature on aggregation and the real exchange rate. In particular, we reconcile the apparently conflicting findings that gave rise to the "PPP Strikes Back debate" (Imbs et al. 2005a,b and Chen and Engel 2005).

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Paper provided by Federal Reserve Bank of San Francisco in its series Working Paper Series with number 2010-06.

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Date of creation: 2010
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Handle: RePEc:fip:fedfwp:2010-06
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  1. Crucini, Mario J. & Shintani, Mototsugu & Tsuruga, Takayuki, 2010. "Accounting for persistence and volatility of good-level real exchange rates: The role of sticky information," Journal of International Economics, Elsevier, vol. 81(1), pages 48-60, May.
  2. Laura Mayoral & Maria Dolores Gadea, 2009. "Analyzing aggregate real exchange rate persistence through the lens of sectoral data," UFAE and IAE Working Papers 787.09, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  3. Shiu-Sheng Chen & Charles Engel, 2004. "Does "Aggregation Bias" Explain the PPP Puzzle?," NBER Working Papers 10304, National Bureau of Economic Research, Inc.
  4. Jean Imbs & Haroon Mumtaz & Morten O. Ravn & Hélène Rey, 2005. "PPP Strikes Back: Aggregation And the Real Exchange Rate," The Quarterly Journal of Economics, Oxford University Press, vol. 120(1), pages 1-43.
  5. Mark Bils & Peter J. Klenow, 2002. "Some Evidence on the Importance of Sticky Prices," NBER Working Papers 9069, National Bureau of Economic Research, Inc.
  6. Carlos Carvalho & Fernanda Nechio, 2011. "Aggregation and the PPP Puzzle in a Sticky-Price Model," American Economic Review, American Economic Association, vol. 101(6), pages 2391-2424, October.
  7. Karim Abadir & Gabriel Talmain, 2002. "Aggregation, Persistence and Volatility in a Macro Model," Review of Economic Studies, Oxford University Press, vol. 69(4), pages 749-779.
  8. Imbs, Jean & Mejean, Isabelle, 2009. "Elasticity Optimism," CEPR Discussion Papers 7177, C.E.P.R. Discussion Papers.
  9. Johri, Alok & Lahiri, Amartya, 2008. "Persistent real exchange rates," Journal of International Economics, Elsevier, vol. 76(2), pages 223-236, December.
  10. Gita Gopinath & Roberto Rigobon, 2008. "Sticky Borders," The Quarterly Journal of Economics, Oxford University Press, vol. 123(2), pages 531-575.
  11. Ghironi, Fabio & Melitz, Marc, 2005. "International Trade and Macroeconomic Dynamics with Heterogeneous Firms," Scholarly Articles 3228377, Harvard University Department of Economics.
  12. Martin Eichenbaum & Charles L. Evans, 1993. "Some Empirical Evidence on the Effects of Monetary Policy Shocks on Exchange Rates," NBER Working Papers 4271, National Bureau of Economic Research, Inc.
  13. Mario J. Crucini & Mototsugu Shintani, 2002. "Persistence in Law-Of-One-Price Deviations: Evidence from Micro-Data," Vanderbilt University Department of Economics Working Papers 0222, Vanderbilt University Department of Economics, revised Jul 2004.
  14. Justiniano, Alejandro & Primiceri, Giorgio E & Tambalotti, Andrea, 2008. "Investment Shocks and Business Cycles," CEPR Discussion Papers 6739, C.E.P.R. Discussion Papers.
  15. Kollmann, Robert, 2001. "The exchange rate in a dynamic-optimizing business cycle model with nominal rigidities: a quantitative investigation," Journal of International Economics, Elsevier, vol. 55(2), pages 243-262, December.
  16. N. Gregory Mankiw & Ricardo Reis, 2002. "Sticky Information versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve," The Quarterly Journal of Economics, Oxford University Press, vol. 117(4), pages 1295-1328.
  17. Zaffaroni, Paolo, 2004. "Contemporaneous aggregation of linear dynamic models in large economies," Journal of Econometrics, Elsevier, vol. 120(1), pages 75-102, May.
  18. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
  19. Carlos Carvalho, 2005. "Heterogeneity in Price Setting and the Real Effects of Monetary Shocks," Macroeconomics 0509017, EconWPA, revised 12 Sep 2005.
  20. Bonomo, Marco & Carvalho, Carlos, 2004. "Endogenous Time-Dependent Rules and Inflation Inertia," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(6), pages 1015-41, December.
  21. Martinez-Garcia, Enrique & Sondergaard, Jens, 2009. "The real exchange rate in sticky-price models: does investment matter?," Bank of England working papers 368, Bank of England.
  22. Pesaran, M.H. & Smith, R., 1992. "Estimating Long-Run Relationships From Dynamic Heterogeneous Panels," Cambridge Working Papers in Economics 9215, Faculty of Economics, University of Cambridge.
  23. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 1998. "Can sticky price models generate volatile and persistent real exchange rates?," Staff Report 223, Federal Reserve Bank of Minneapolis.
  24. V. V Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2002. "Can Sticky Price Models Generate Volatile and Persistent Real Exchange Rates?," Review of Economic Studies, Oxford University Press, vol. 69(3), pages 533-563.
  25. Andrew Atkeson & Ariel Burstein, 2007. "Pricing-to-market, trade costs, and international relative prices," Working Paper Series 2007-26, Federal Reserve Bank of San Francisco.
  26. Paul R. Bergin & Robert C. Feenstra, . "Pricing To Market, Staggered Contracts, And Real Exchange Rate Persistence," Department of Economics 99-01, California Davis - Department of Economics.
  27. Gita Gopinath & Oleg Itskhoki & Roberto Rigobon, 2010. "Currency Choice and Exchange Rate Pass-Through," American Economic Review, American Economic Association, vol. 100(1), pages 304-36, March.
  28. Emi Nakamura & Jón Steinsson, 2008. "Five Facts about Prices: A Reevaluation of Menu Cost Models," The Quarterly Journal of Economics, Oxford University Press, vol. 123(4), pages 1415-1464.
  29. Yuriy Gorodnichenko, 2008. "Endogenous information, menu costs and inflation persistence," NBER Working Papers 14184, National Bureau of Economic Research, Inc.
  30. Patrick J. Kehoe & Virgiliu Midrigan, 2007. "Sticky prices and sectoral real exchange rates," Working Papers 656, Federal Reserve Bank of Minneapolis.
  31. Carvalho, Carlos Viana de & Bonomo, Marco Antônio Cesar, 2005. "Imperfectly Credible Disinflation under Endogenous Time-Dependent Pricing," Economics Working Papers (Ensaios Economicos da EPGE) 600, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  32. Marco Bonomo & Carlos Carvalho & René Garcia, 2010. "State-dependent pricing under infrequent information: a unified framework," Staff Reports 455, Federal Reserve Bank of New York.
  33. Laurence Ball & David Romer, 1987. "Real Rigidities and the Non-Neutrality of Money," NBER Working Papers 2476, National Bureau of Economic Research, Inc.
  34. Ricardo Reis, 2005. "Inattentive Producers," 2005 Meeting Papers 290, Society for Economic Dynamics.
  35. Jeffrey C. Fuhrer & Glenn D. Rudebusch, 2002. "Estimating the Euler equation for output," Working Papers 02-3, Federal Reserve Bank of Boston.
  36. Karim Abadir & Gabriel Talmain, 2002. "Aggregation, Persistence and Volatility in a Macro Model," Review of Economic Studies, Oxford University Press, vol. 69(4), pages 749-779.
  37. Jón Steinsson, 2008. "The Dynamic Behavior of the Real Exchange Rate in Sticky Price Models," NBER Working Papers 13910, National Bureau of Economic Research, Inc.
  38. Granger, C. W. J., 1980. "Long memory relationships and the aggregation of dynamic models," Journal of Econometrics, Elsevier, vol. 14(2), pages 227-238, October.
  39. Andrews, Donald W K & Chen, Hong-Yuan, 1994. "Approximately Median-Unbiased Estimation of Autoregressive Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 187-204, April.
  40. Robert J. Barro, 1972. "A Theory of Monopolistic Price Adjustment," Review of Economic Studies, Oxford University Press, vol. 39(1), pages 17-26.
  41. Jean Imbs & Haroon Mumtaz & Morten O. Ravn & Hélène Rey, 2005. ""Aggregation Bias" DOES Explain the PPP Puzzle," NBER Working Papers 11607, National Bureau of Economic Research, Inc.
  42. Etienne Gagnon, 2006. "Price Setting during Low and High Inflation: Evidence from Mexico," 2006 Meeting Papers 300, Society for Economic Dynamics.
  43. Carvalho Carlos, 2006. "Heterogeneity in Price Stickiness and the Real Effects of Monetary Shocks," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(3), pages 1-58, December.
  44. Emi Nakamura & Jón Steinsson, 2010. "Monetary Non-neutrality in a Multisector Menu Cost Model," The Quarterly Journal of Economics, Oxford University Press, vol. 125(3), pages 961-1013.
  45. Laurence Ball & David Romer, 1990. "Real Rigidities and the Non-Neutrality of Money," Review of Economic Studies, Oxford University Press, vol. 57(2), pages 183-203.
  46. Felipe Schwartzman & Carlos Carvalho, 2008. "Heterogeneous Price Setting Behavior and Monetary Non-neutrality: Some General Results," 2008 Meeting Papers 1040, Society for Economic Dynamics.
  47. Emmanuel Dhyne & Luis J. Alvarez & Herve Le Bihan & Giovanni Veronese & Daniel Dias & Johannes Hoffmann & Nicole Jonker & Patrick Lunnemann & Fabio Rumler & Jouko Vilmunen, 2006. "Price Changes in the Euro Area and the United States: Some Facts from Individual Consumer Price Data," Journal of Economic Perspectives, American Economic Association, vol. 20(2), pages 171-192, Spring.
  48. Martin Eichenbaum & Charles L. Evans, 1995. "Some Empirical Evidence on the Effects of Shocks to Monetary Policy on Exchange Rates," The Quarterly Journal of Economics, Oxford University Press, vol. 110(4), pages 975-1009.
  49. David K. Backus & Gregor W. Smith, 1993. "Consumption and Real Exchange Rates in Dynamic Economies with Non-Traded Goods," Working Papers 1252, Queen's University, Department of Economics.
  50. Woodford, Michael, 2009. "Information-constrained state-dependent pricing," Journal of Monetary Economics, Elsevier, vol. 56(S), pages S100-S124.
  51. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
  52. Benigno, Gianluca, 2004. "Real exchange rate persistence and monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 51(3), pages 473-502, April.
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