[go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/16093.html
   My bibliography  Save this paper

The Optimal Inflation Rate in New Keynesian Models

Author

Listed:
  • Olivier Coibion
  • Yuriy Gorodnichenko
  • Johannes F. Wieland
Abstract
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.

Suggested Citation

  • Olivier Coibion & Yuriy Gorodnichenko & Johannes F. Wieland, 2010. "The Optimal Inflation Rate in New Keynesian Models," NBER Working Papers 16093, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:16093
    Note: EFG IFM ME
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w16093.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Guido Ascari & Tiziano Ropele, 2009. "Trend Inflation, Taylor Principle, and Indeterminacy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(8), pages 1557-1584, December.
    2. Taylor, John B, 1979. "Staggered Wage Setting in a Macro Model," American Economic Review, American Economic Association, vol. 69(2), pages 108-113, May.
    3. Stepahnie Schmitt-Grohé & Martín Uribe, 2007. "Optimal Inflation Stabilization in a Medium-Scale Macroeconomic Model," Central Banking, Analysis, and Economic Policies Book Series, in: Frederic S. Miskin & Klaus Schmidt-Hebbel & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Se (ed.),Monetary Policy under Inflation Targeting, edition 1, volume 11, chapter 5, pages 125-186, Central Bank of Chile.
    4. Michael T. Kiley, 2007. "Is Moderate-to-High Inflation Inherently Unstable?," International Journal of Central Banking, International Journal of Central Banking, vol. 3(2), pages 173-201, June.
    5. Aubhik Khan & Robert G. King & Alexander L. Wolman, 2003. "Optimal Monetary Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(4), pages 825-860.
    6. S. Boragan Aruoba & Frank Schorfheide, 2011. "Sticky Prices versus Monetary Frictions: An Estimation of Policy Trade-Offs," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(1), pages 60-90, January.
    7. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(1), pages 147-180.
    8. Athanasios Orphanides & Simon van Norden, 2002. "The Unreliability of Output-Gap Estimates in Real Time," The Review of Economics and Statistics, MIT Press, vol. 84(4), pages 569-583, November.
    9. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    10. Lawrence Christiano & Mathias Trabandt & Karl Walentin, 2021. "Involuntary Unemployment and the Business Cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 39, pages 26-54, January.
    11. 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 341-370, February.
    12. Alejandro Justiniano & Giorgio E. Primiceri, 2008. "The Time-Varying Volatility of Macroeconomic Fluctuations," American Economic Review, American Economic Association, vol. 98(3), pages 604-641, June.
    13. Arthur M. Okun, 1971. "The Mirage of Steady Inflation," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 2(2), pages 485-498.
    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. Bernanke, Ben S. & Gertler, Mark & Gilchrist, Simon, 1999. "The financial accelerator in a quantitative business cycle framework," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 21, pages 1341-1393, Elsevier.
    16. Woodford, Michael, 2010. "Optimal Monetary Stabilization Policy," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 14, pages 723-828, Elsevier.
    17. Thomas F. Cooley & Gary D. Hansen, 1991. "The welfare costs of moderate inflations," Proceedings, Federal Reserve Bank of Cleveland, pages 483-518.
    18. Roberto M. Billi, 2011. "Optimal Inflation for the US Economy," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(3), pages 29-52, July.
    19. Romer, David, 1990. "Staggered price setting with endogenous frequency of adjustment," Economics Letters, Elsevier, vol. 32(3), pages 205-210, March.
    20. William T. Dickens & Lorenz Goette & Erica L. Groshen & Steinar Holden & Julian Messina & Mark E. Schweitzer & Jarkko Turunen & Melanie E. Ward, 2007. "How Wages Change: Micro Evidence from the International Wage Flexibility Project," Journal of Economic Perspectives, American Economic Association, vol. 21(2), pages 195-214, Spring.
    21. Stephanie Schmitt-Grohé & Martín Uribe, 2006. "Optimal Fiscal and Monetary Policy in a Medium-Scale Macroeconomic Model," NBER Chapters, in: NBER Macroeconomics Annual 2005, Volume 20, pages 383-462, National Bureau of Economic Research, Inc.
    22. J. Bradford DeLong & Lawrence H. Summers, 1988. "How Does Macroeconomic Policy Affect Output?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 19(2), pages 433-494.
    23. Roberto M. Billi, 2006. "The Optimal Long-Run Inflation Rate for the U.S. Economy," Computing in Economics and Finance 2006 72, Society for Computational Economics.
    24. Lawrence Christiano & Martin Eichenbaum & Sergio Rebelo, 2011. "When Is the Government Spending Multiplier Large?," Journal of Political Economy, University of Chicago Press, vol. 119(1), pages 78-121.
    25. 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.
    26. Tobin, James, 1972. "Inflation and Unemployment," American Economic Review, American Economic Association, vol. 62(1), pages 1-18, March.
    27. Martin S. Feldstein, 1997. "The Costs and Benefits of Going from Low Inflation to Price Stability," NBER Chapters, in: Reducing Inflation: Motivation and Strategy, pages 123-166, National Bureau of Economic Research, Inc.
    28. 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.
    29. Frank Smets & Rafael Wouters, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," American Economic Review, American Economic Association, vol. 97(3), pages 586-606, June.
    30. 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.
    31. Martin Bodenstein & Christopher J. Erceg & Luca Guerrieri, 2017. "The effects of foreign shocks when interest rates are at zero," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 50(3), pages 660-684, August.
    32. 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 249-283, April.
    33. Schmitt-Grohé, Stephanie & Uribe, Martín, 2010. "The Optimal Rate of Inflation," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 13, pages 653-722, Elsevier.
    34. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    35. Gorodnichenko, Yuriy & Shapiro, Matthew D., 2007. "Monetary policy when potential output is uncertain: Understanding the growth gamble of the 1990s," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1132-1162, May.
    36. Etienne Gagnon, 2009. "Price Setting during Low and High Inflation: Evidence from Mexico," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(3), pages 1221-1263.
    37. Orphanides, Athanasios, 2003. "Historical monetary policy analysis and the Taylor rule," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 983-1022, July.
    38. Summers, Lawrence, 1991. "How Should Long-Term Monetary Policy Be Determined? Panel Discussion," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(3), pages 625-631, August.
    39. 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.
    40. 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 2101-2126, December.
    41. 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 Paper Research 74, National Bank of Belgium.
    42. Gadi Barlevy, 2005. "The cost of business cycles and the benefits of stabilization," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 29(Q I), pages 32-49.
    43. Ariel Burstein & Christian Hellwig, 2008. "Welfare Costs of Inflation in a Menu Cost Model," American Economic Review, American Economic Association, vol. 98(2), pages 438-443, May.
    44. Kim, Jinill & Ruge-Murcia, Francisco J., 2009. "How much inflation is necessary to grease the wheels?," Journal of Monetary Economics, Elsevier, vol. 56(3), pages 365-377, April.
    45. John C. Williams, 2009. "Heeding Daedalus: Optimal Inflation and the Zero Lower Bound," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 40(2 (Fall)), pages 1-49.
    46. 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.
    47. Emi Nakamura & Jón Steinsson, 2008. "Five Facts about Prices: A Reevaluation of Menu Cost Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(4), pages 1415-1464.
    48. Benjamin M. Friedman & Michael Woodford (ed.), 2010. "Handbook of Monetary Economics," Handbook of Monetary Economics, Elsevier, edition 1, volume 3, number 3.
    49. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October.
    50. Burnside, Craig, 1996. "Production function regressions, returns to scale, and externalities," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 177-201, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Olivier Coibion & Yuriy Gorodnichenko & Johannes Wieland, 2012. "The Optimal Inflation Rate in New Keynesian Models: Should Central Banks Raise Their Inflation Targets in Light of the Zero Lower Bound?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(4), pages 1371-1406.
    2. 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 341-370, February.
    3. Guido Ascari & Argia M. Sbordone, 2014. "The Macroeconomics of Trend Inflation," Journal of Economic Literature, American Economic Association, vol. 52(3), pages 679-739, September.
    4. Olivier Coibion & Yuriy Gorodnichenko, 2011. "Strategic Interaction among Heterogeneous Price-Setters in an Estimated DSGE Model," The Review of Economics and Statistics, MIT Press, vol. 93(3), pages 920-940, August.
    5. Yasuo Hirose & Takushi Kurozumi & Willem Van Zandweghe, 2020. "Monetary Policy and Macroeconomic Stability Revisited," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 37, pages 255-274, July.
    6. Ascari, Guido & Castelnuovo, Efrem & Rossi, Lorenza, 2011. "Calvo vs. Rotemberg in a trend inflation world: An empirical investigation," Journal of Economic Dynamics and Control, Elsevier, vol. 35(11), pages 1852-1867.
    7. Qazi Haque, 2022. "Monetary Policy, Inflation Target, and the Great Moderation: An Empirical Investigation," International Journal of Central Banking, International Journal of Central Banking, vol. 18(4), pages 1-52, October.
    8. Loberto, Michele & Perricone, Chiara, 2017. "Does trend inflation make a difference?," Economic Modelling, Elsevier, vol. 61(C), pages 351-375.
    9. Weber, Henning, 2011. "Optimal inflation and firms' productivity dynamics," Kiel Working Papers 1685, Kiel Institute for the World Economy (IfW Kiel).
    10. Anthony M. Diercks, 2015. "The Equity Premium, Long-Run Risk, & Optimal Monetary Policy," Finance and Economics Discussion Series 2015-87, Board of Governors of the Federal Reserve System (U.S.).
    11. Weber, Henning, 2012. "The optimal inflation rate and firm-level productivity growth," Kiel Working Papers 1773, Kiel Institute for the World Economy (IfW Kiel).
    12. Takushi Kurozumi & Willem Van Zandweghe, 2016. "Kinked Demand Curves, the Natural Rate Hypothesis, and Macroeconomic Stability," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 240-257, April.
    13. Frederic S. Mishkin, 2007. "Will Monetary Policy Become More of a Science?," NBER Working Papers 13566, National Bureau of Economic Research, Inc.
    14. Robert Amano & Malik Shukayev, 2012. "Risk Premium Shocks and the Zero Bound on Nominal Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(8), pages 1475-1505, December.
    15. Cúrdia, Vasco & Ferrero, Andrea & Ng, Ging Cee & Tambalotti, Andrea, 2015. "Has U.S. monetary policy tracked the efficient interest rate?," Journal of Monetary Economics, Elsevier, vol. 70(C), pages 72-83.
    16. Jonas E. Arias & Guido Ascari & Nicola Branzoli & Efrem Castelnuovo, 2020. "Positive Trend Inflation and Determinacy in a Medium-Sized New Keynesian Model," International Journal of Central Banking, International Journal of Central Banking, vol. 16(3), pages 51-94, June.
    17. Michael Woodford, 2008. "How Important Is Money in the Conduct of Monetary Policy?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(8), pages 1561-1598, December.
    18. Kim, Insu, 2009. "Dual Wage Rigidities: Theory and Some Evidence," MPRA Paper 21494, University Library of Munich, Germany, revised Mar 2010.
    19. Guerron-Quintana, Pablo A., 2011. "The implications of inflation in an estimated new Keynesian model," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 947-962, June.
    20. Huang, Kevin X.D. & Meng, Qinglai & Xue, Jianpo, 2009. "Is forward-looking inflation targeting destabilizing? The role of policy's response to current output under endogenous investment," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 409-430, February.

    More about this item

    JEL classification:

    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • E5 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nbr:nberwo:16093. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.