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The Optimal Inflation Rate in New Keynesian Models

  • Olivier Coibion


    (Department of Economics, College of William and Mary)

  • Yuriy Gorodnichenko


    (Department of Economics, University of California, Berkeley)

  • Johannes Wieland


    (Department of Economics, niversity of California, Berkeley)

We study the effects of positive steady-state inflation in New Keynesian models subject to the zero bound on interest rates. We derive the utility-based welfare loss function taking into account the effects of positive steady-state inflation and show that steady-state inflation affects welfare through three distinct channels: steady-state effects, the magnitude of the coefficients in the utility-function approximation, and the dynamics of the model. We solve for the optimal level of inflation in the model and find that, for plausible calibrations, the optimal inflation rate is low, less than two percent, even after considering a variety of extensions, including price indexation, endogenous price stickiness, capital formation, model uncertainty, and downward nominal wage rigidities. On the normative side, price level targeting delivers large welfare gains and a very low optimal inflation rate consistent with price stability.

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Paper provided by Department of Economics, College of William and Mary in its series Working Papers with number 91.

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Length: 66 pages
Date of creation: 15 Jun 2010
Date of revision:
Handle: RePEc:cwm:wpaper:91
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  1. Etienne Gagnon, 2009. "Price Setting During Low and High Inflation: Evidence from Mexico," The Quarterly Journal of Economics, MIT Press, vol. 124(3), pages 1221-1263, August.
  2. Boivin, Jean, 2006. "Has U.S. Monetary Policy Changed? Evidence from Drifting Coefficients and Real-Time Data," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(5), pages 1149-1173, August.
  3. Lawrence J. Christiano & Martin Eichenbaum & Sergio Rebelo, 2010. "When is the government spending multiplier large?," FRB Atlanta CQER Working Paper No. 2010-01, Federal Reserve Bank of Atlanta.
  4. Gadi Barlevy, 2005. "The cost of business cycles and the benefits of stabilization," Economic Perspectives, Federal Reserve Bank of Chicago, issue Q I, pages 32-49.
  5. Stephanie Schmitt-Grohe & Martin Uribe, 2005. "Optimal Inflation Stabilization in a Medium-Scale Macroeconomic Model," NBER Working Papers 11854, National Bureau of Economic Research, Inc.
  6. S. Boragan Aruoba & Frank Schorfheide, 2009. "Sticky Prices Versus Monetary Frictions: An Estimation of Policy Trade-offs," NBER Working Papers 14870, National Bureau of Economic Research, Inc.
  7. Roberto M. Billi, 2007. "Optimal inflation for the U.S," Research Working Paper RWP 07-03, Federal Reserve Bank of Kansas City.
  8. Olivier Coibion & Yuriy Gorodnichenko, 2011. "Monetary Policy, Trend Inflation, and the Great Moderation: An Alternative Interpretation," American Economic Review, American Economic Association, vol. 101(1), pages 341-70, February.
  9. Emmanuel Dhyne & Luis J. Álvarez & Hervé Le Bihan & Giovanni Veronese & Daniel Dias & Johannes Hoffmann & Nicole Jonker & Patrick Lünnemann & Fabio Rumler & Jouko Vilmunen, 2005. "Price setting in the euro area: Some stylized facts from Individual Consumer Price Data," Working Papers w200506, Banco de Portugal, Economics and Research Department.
  10. Kim, Jinill & Ruge-Murcia, Francisco J., 2007. "How Much Inflation is Necessary to Grease the Wheels?," Cahiers de recherche 2007-10, Universite de Montreal, Departement de sciences economiques.
  11. 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.
  12. Dickens, William T. & Götte, Lorenz & Groshen, Erica L. & Holden, Steinar & Messina, Julián & Schweitzer, Mark E. & Turunen, Jarkko & Ward-Warmedinger, Melanie E., 2006. "How Wages Change: Micro Evidence from the International Wage Flexibility Project," IZA Discussion Papers 2487, Institute for the Study of Labor (IZA).
  13. Athanasios Orphanides & Simon van Norden, 2001. "The Unreliability of Output Gap Estimates in Real Time," CIRANO Working Papers 2001s-57, CIRANO.
  14. Lubik, Thomas A. & Schorfheide, Frank, 2003. "Computing sunspot equilibria in linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 273-285, November.
  15. Yuriy Gorodnichenko & Matthew D. Shapiro, 2006. "Monetary Policy When Potential Output is Uncertain: Understanding the Growth Gamble of the 1990s," NBER Working Papers 12268, National Bureau of Economic Research, Inc.
  16. Basu, Susanto & Fernald, John G, 1997. "Returns to Scale in U.S. Production: Estimates and Implications," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 249-83, April.
  17. Giorgio Primiceri & Alejandro Justiniano, 2006. "The Time Varying Volatility of Macroeconomic Fluctuations," 2006 Meeting Papers 353, Society for Economic Dynamics.
  18. Burnside, Craig, 1996. "Production function regressions, returns to scale, and externalities," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 177-201, April.
  19. Bernanke, B. & Gertler, M. & Gilchrist, S., 1998. "The Financial Accelerator in a Quantitative Business Cycle Framework," Working Papers 98-03, C.V. Starr Center for Applied Economics, New York University.
  20. Guido Ascari & Tiziano Ropele, 2009. "Trend Inflation, Taylor Principle and Indeterminacy," Quaderni di Dipartimento 097, University of Pavia, Department of Economics and Quantitative Methods.
  21. Lawrence J. Christiano & Mathias Trabandt & Karl Walentin, 2010. "Involuntary Unemployment and the Business Cycle," NBER Working Papers 15801, National Bureau of Economic Research, Inc.
  22. Richard Clarida & Jordi Gali & Mark Gertler, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," NBER Working Papers 7147, National Bureau of Economic Research, Inc.
  23. Roberto M. Billi, 2011. "Optimal Inflation for the US Economy," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(3), pages 29-52, July.
  24. David Romer., 1989. "Staggered Price Setting with Endogenous Frequency of Adjustment," Economics Working Papers 89-115, University of California at Berkeley.
  25. Orphanides, Athanasios, 2003. "Historical monetary policy analysis and the Taylor rule," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 983-1022, July.
  26. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October.
  27. Aubhik Khan & Robert G. King & Alexander L. Wolman, 2003. "Optimal Monetary Policy," Review of Economic Studies, Wiley Blackwell, vol. 70(4), pages 825-860, October.
  28. Michael Kiley, 2004. "Is Moderate-To-High Inflation Inherently Unstable?," Econometric Society 2004 North American Summer Meetings 193, Econometric Society.
  29. Gauti B. Eggertsson & Michael Woodford, 2004. "Policy Options in a Liquidity Trap," American Economic Review, American Economic Association, vol. 94(2), pages 76-79, May.
  30. Schmitt-Grohé, Stephanie & Uribe, Martín, 2010. "The Optimal Rate of Inflation," CEPR Discussion Papers 7864, C.E.P.R. Discussion Papers.
  31. Emi Nakamura & Jón Steinsson, 2008. "Five Facts about Prices: A Reevaluation of Menu Cost Models," The Quarterly Journal of Economics, MIT Press, vol. 123(4), pages 1415-1464, November.
  32. John C. Williams, 2009. "Heeding Daedalus: Optimal inflation and the zero lower bound," Working Paper Series 2009-23, Federal Reserve Bank of San Francisco.
  33. Ariel Burstein & Christian Hellwig, 2008. "Welfare Costs of Inflation in a Menu Cost Model," 2008 Meeting Papers 1, Society for Economic Dynamics.
  34. Bodenstein, Martin & Erceg, Christopher & Guerrieri, Luca, 2010. "The Effects of Foreign Shocks When Interest Rates Are at Zero," CEPR Discussion Papers 8006, C.E.P.R. Discussion Papers.
  35. Timothy Cogley & Argia M. Sbordone, 2008. "Trend Inflation, Indexation, and Inflation Persistence in the New Keynesian Phillips Curve," American Economic Review, American Economic Association, vol. 98(5), pages 2101-26, December.
  36. Taylor, John B, 1979. "Staggered Wage Setting in a Macro Model," American Economic Review, American Economic Association, vol. 69(2), pages 108-13, May.
  37. Gauti B. Eggertsson & Michael Woodford, 2003. "The Zero Bound on Interest Rates and Optimal Monetary Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(1), pages 139-235.
  38. Gadi Barlevy, 2004. "The Cost of Business Cycles and the Benefits of Stabilization: A Survey," NBER Working Papers 10926, National Bureau of Economic Research, Inc.
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