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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. Fabio Ghironi & Marc J. Melitz, 2005. "International Trade and Macroeconomic Dynamics with Heterogeneous Firms," The Quarterly Journal of Economics, Oxford University Press, vol. 120(3), pages 865-915.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. Reis, Ricardo, 2005. "Inattentive Producers," CEPR Discussion Papers 5393, C.E.P.R. Discussion Papers.
  7. 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).
  8. Carlos Carvalho & Fernanda Nechio, 2008. "Aggregation and the PPP puzzle in a sticky-price model," Staff Reports 351, Federal Reserve Bank of New York.
  9. Mankiw, N. Gregory & Reis, Ricardo, 2002. "Sticky Information Versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve," Scholarly Articles 3415324, Harvard University Department of Economics.
  10. Andrew Atkeson & Ariel Burstein, 2008. "Pricing-to-market, trade costs, and international relative prices," Staff Report 404, Federal Reserve Bank of Minneapolis.
  11. Emi Nakamura & Jón Steinsson, 2008. "Monetary Non-Neutrality in a Multi-Sector Menu Cost Model," NBER Working Papers 14001, National Bureau of Economic Research, Inc.
  12. 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.
  13. Marco Bonomo & Carlos Viana de Carvalho, 2005. "Imperfectly Credible Disinflation under Endogenous Time-Dependent Pricing," Macroeconomics 0509005, EconWPA, revised 09 Sep 2005.
  14. 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.
  15. Jean Imbs & Isabelle Méjean, 2009. "Elasticity optimism," Working Papers hal-00362403, HAL.
  16. Marco Bonomo & Carlos Carvalho, 2004. "Endogenous Time-Dependent Rules and Inflation Inertia," Macroeconomics 0402005, EconWPA, revised 19 May 2005.
  17. Alejandro Justiniano & Giorgio E. Primiceri & Andrea Tambalotti, 2008. "Investment shocks and business cycles," Working Paper Series WP-08-12, Federal Reserve Bank of Chicago.
  18. 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.
  19. Karim Abadir & Gabriel Talmain, . "Aggregation, Persistence and Volatility in a Macromodel," Discussion Papers 01/03, Department of Economics, University of York.
  20. Bergin, Paul R. & Feenstra, Robert C., 2001. "Pricing-to-market, staggered contracts, and real exchange rate persistence," Journal of International Economics, Elsevier, vol. 54(2), pages 333-359, August.
  21. Crucini, Mario J. & Shintani, Mototsugu & Tsuruga, Takayuki, 2008. "Accounting for persistence and volatility of good-level real exchange rates: the role of sticky information," Globalization and Monetary Policy Institute Working Paper 07, Federal Reserve Bank of Dallas.
  22. Alok Johri & Amartya Lahiri, 2008. "Persistent Real Exchange Rates," Department of Economics Working Papers 2008-04, McMaster University.
  23. Shiu-Sheng Chen & Charles Engel, 2004. "Does "Aggregation Bias" Explain the PPP Puzzle?," NBER Working Papers 10304, National Bureau of Economic Research, Inc.
  24. Benigno, Gianluca, 2004. "Real exchange rate persistence and monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 51(3), pages 473-502, April.
  25. Fuhrer, Jeffrey C. & Rudebusch, Glenn D., 2004. "Estimating the Euler equation for output," Journal of Monetary Economics, Elsevier, vol. 51(6), pages 1133-1153, September.
  26. Etienne Gagnon, 2006. "Price Setting during Low and High Inflation: Evidence from Mexico," 2006 Meeting Papers 300, Society for Economic Dynamics.
  27. Michael Woodford, 2008. "Information-Constrained State-Dependent Pricing," NBER Working Papers 14620, National Bureau of Economic Research, Inc.
  28. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2002. "Can sticky price models generate volatile and persistent real exchange rates?," Staff Report 277, Federal Reserve Bank of Minneapolis.
  29. Robert J. Barro, 1972. "A Theory of Monopolistic Price Adjustment," Review of Economic Studies, Oxford University Press, vol. 39(1), pages 17-26.
  30. 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.
  31. 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.
  32. Gita Gopinath & Roberto Rigobon, 2008. "Sticky Borders," The Quarterly Journal of Economics, Oxford University Press, vol. 123(2), pages 531-575.
  33. Mark Bils & Peter J. Klenow, 2004. "Some Evidence on the Importance of Sticky Prices," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 947-985, October.
  34. Robert Kollmann, 2001. "The exchange rate in a dynamic-optimizing business cycle model with nominal rigidities: a quantitative investigation," ULB Institutional Repository 2013/7630, ULB -- Universite Libre de Bruxelles.
  35. Yuriy Gorodnichenko, 2008. "Endogenous information, menu costs and inflation persistence," NBER Working Papers 14184, National Bureau of Economic Research, Inc.
  36. 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.
  37. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
  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. 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.
  40. 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.
  41. 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.
  42. 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.
  43. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
  44. 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.
  45. 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.
  46. Patrick J. Kehoe & Virgiliu Midrigan, 2007. "Sticky prices and sectoral real exchange rates," Working Papers 656, Federal Reserve Bank of Minneapolis.
  47. Carlos Carvalho, 2005. "Heterogeneity in Price Setting and the Real Effects of Monetary Shocks," Macroeconomics 0509017, EconWPA, revised 12 Sep 2005.
  48. Zaffaroni, Paolo, 2004. "Contemporaneous aggregation of linear dynamic models in large economies," Journal of Econometrics, Elsevier, vol. 120(1), pages 75-102, May.
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