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The optimal inflation buffer with a zero bound on nominal interest rates

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  • Billi, Roberto M.

Abstract

This paper characterizes the optimal inflation buffer consistent with a zero lower bound on nominal interest rates in a New Keynesian sticky-price model. It is shown that a purely forward-looking version of the model that abstracts from inflation inertia would significantly underestimate the inflation buffer. If the central bank follows the prescriptions of a welfaretheoretic objective, a larger buffer appears optimal than would be the case employing a traditional loss function. Taking also into account potential downward nominal rigidities in the price-setting behavior of firms appears not to impose significant further distortions on the economy.

Suggested Citation

  • Billi, Roberto M., 2004. "The optimal inflation buffer with a zero bound on nominal interest rates," CFS Working Paper Series 2005/17, Center for Financial Studies (CFS).
  • Handle: RePEc:zbw:cfswop:200517
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    1. Giordani, Paolo & Soderlind, Paul, 2004. "Solution of macromodels with Hansen-Sargent robust policies: some extensions," Journal of Economic Dynamics and Control, Elsevier, vol. 28(12), pages 2367-2397, December.
    2. Adam, Klaus & Billi, Roberto M., 2006. "Optimal Monetary Policy under Commitment with a Zero Bound on Nominal Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(7), pages 1877-1905, October.
    3. Roberto M. Billi, 2011. "Optimal Inflation for the US Economy," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(3), pages 29-52, July.
    4. Paul R. Krugman, 1998. "It's Baaack: Japan's Slump and the Return of the Liquidity Trap," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 29(2), pages 137-206.
    5. Stanley Fischer, 1996. "Why are central banks pursuing long-run price stability?," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 7-34.
    6. Orphanides, Athanasios & Wieland, Volker, 2000. "Efficient Monetary Policy Design near Price Stability," Journal of the Japanese and International Economies, Elsevier, vol. 14(4), pages 327-365, December.
    7. Kato, Ryo & Nishiyama, Shin-Ichi, 2005. "Optimal monetary policy when interest rates are bounded at zero," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 97-133, January.
    8. Aubhik Khan & Robert G. King & Alexander L. Wolman, 2003. "Optimal Monetary Policy," Review of Economic Studies, Oxford University Press, vol. 70(4), pages 825-860.
    9. Schmitt-Grohe, Stephanie & Uribe, Martin, 2007. "Optimal simple and implementable monetary and fiscal rules," Journal of Monetary Economics, Elsevier, vol. 54(6), pages 1702-1725, September.
    10. Orphanides, Athanasios, 2004. "Monetary policy in deflation: the liquidity trap in history and practice," The North American Journal of Economics and Finance, Elsevier, vol. 15(1), pages 101-124, March.
    11. Robert J. Barro & David B. Gordon, 2019. "A Positive Theory of Monetary Policy in a Natural Rate Model," Credit and Capital Markets, Credit and Capital Markets, vol. 52(4), pages 505-525.
    12. Dennis, Richard & Leitemo, Kai & Söderström, Ulf, 2009. "Methods for robust control," Journal of Economic Dynamics and Control, Elsevier, vol. 33(8), pages 1604-1616, August.
    13. Olivier Jeanne & Lars E. O. Svensson, 2007. "Credible Commitment to Optimal Escape from a Liquidity Trap: The Role of the Balance Sheet of an Independent Central Bank," American Economic Review, American Economic Association, vol. 97(1), pages 474-490, March.
    14. Jon Faust & Dale W. Henderson, 2004. "Is inflation targeting best-practice monetary policy?," Review, Federal Reserve Bank of St. Louis, vol. 86(Jul), pages 117-144.
    15. Guenter Coenen & Volker Wieland, 2003. "The Zero-Interest-Rate and the Role of the Exchange Rate for Monetary Policy in Japan," CFS Working Paper Series 2003/09, Center for Financial Studies.
    16. Andrew Levin & David López-Salido & Edward Nelson & Yack Yun, 2010. "Limitations on the Effectiveness of Forward Guidance at the Zero Lower Bound," International Journal of Central Banking, International Journal of Central Banking, vol. 6(1), pages 143-189, March.
    17. Ben S. Bernanke & Vincent R. Reinhart & Brian P. Sack, 2004. "Monetary Policy Alternatives at the Zero Bound: An Empirical Assessment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 35(2), pages 1-100.
    18. Michael Woodford, 2010. "Robustly Optimal Monetary Policy with Near-Rational Expectations," American Economic Review, American Economic Association, vol. 100(1), pages 274-303, March.
    19. Eggertsson, Gauti B., 2006. "The Deflation Bias and Committing to Being Irresponsible," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(2), pages 283-321, March.
    20. 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.
    21. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, February.
    22. Lawrence H. Summers, 1991. "Panel discussion: price stability ; How should long-term monetary policy be determined?," Proceedings, Federal Reserve Bank of Cleveland, pages 625-631.
    23. Albert Marcet & Ramon Marimon, 2019. "Recursive Contracts," Econometrica, Econometric Society, vol. 87(5), pages 1589-1631, September.
    24. Willem H. Buiter & Nikolaos Panigirtzoglou, 2003. "Overcoming the zero bound on nominal interest rates with negative interest on currency: gesell's solution," Economic Journal, Royal Economic Society, vol. 113(490), pages 723-746, October.
    25. Coenen Günter & Orphanides Athanasios & Wieland Volker, 2004. "Price Stability and Monetary Policy Effectiveness when Nominal Interest Rates are Bounded at Zero," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-25, February.
    26. Bennett T. McCallum, 2000. "Theoretical analysis regarding a zero lower bound on nominal interest rates," Conference Series ; [Proceedings], Federal Reserve Bank of Boston, pages 870-935.
    27. Adam, Klaus & Billi, Roberto M., 2007. "Discretionary monetary policy and the zero lower bound on nominal interest rates," Journal of Monetary Economics, Elsevier, vol. 54(3), pages 728-752, April.
    28. Milani, Fabio, 2007. "Expectations, learning and macroeconomic persistence," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 2065-2082, October.
    29. Julio Rotemberg & Michael Woodford, 1997. "An Optimization-Based Econometric Framework for the Evaluation of Monetary Policy," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 297-361, National Bureau of Economic Research, Inc.
    30. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 1-45, February.
    31. Jeffrey C. Fuhrer & Brian F. Madigan, 1997. "Monetary Policy When Interest Rates Are Bounded At Zero," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 573-585, November.
    32. repec:cup:macdyn:v:6:y:2002:i:1:p:111-44 is not listed on IDEAS
    33. 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.
    34. repec:ucp:bknber:9780226044712 is not listed on IDEAS
    35. Alan J. Auerbach & Maurice Obstfeld, 2005. "The Case for Open-Market Purchases in a Liquidity Trap," American Economic Review, American Economic Association, vol. 95(1), pages 110-137, March.
    36. David L. Reifschneider & John C. Williams, 2000. "Three lessons for monetary policy in a low-inflation era," Conference Series ; [Proceedings], Federal Reserve Bank of Boston, pages 936-978.
    37. Coenen, Gunter & Wieland, Volker, 2003. "The zero-interest-rate bound and the role of the exchange rate for monetary policy in Japan," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 1071-1101, July.
    38. Onatski, Alexei & Stock, James H., 2002. "Robust Monetary Policy Under Model Uncertainty In A Small Model Of The U.S. Economy," Macroeconomic Dynamics, Cambridge University Press, vol. 6(1), pages 85-110, February.
    39. Wolman, Alexander L, 2005. "Real Implications of the Zero Bound on Nominal Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(2), pages 273-296, April.
    40. 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.
    41. Marvin Goodfriend, 2000. "Overcoming the zero bound on interest rate policy," Conference Series ; [Proceedings], Federal Reserve Bank of Boston, pages 1007-1057.
    42. Christopher A. Sims, 2001. "Pitfalls of a Minimax Approach to Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 51-54, May.
    43. Gauti B. Eggertsson & Michael Woodford, 2003. "Optimal Monetary Policy in a Liquidity Trap," NBER Working Papers 9968, National Bureau of Economic Research, Inc.
    44. Walsh, Carl E, 2004. "Robustly Optimal Instrument Rules and Robust Control: An Equivalence Result," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(6), pages 1105-1113, December.
    45. Reifschneider, David & Willams, John C, 2000. "Three Lessons for Monetary Policy in a Low-Inflation Era," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(4), pages 936-966, November.
    46. Lars E.O. Svensson, 2003. "Escaping from a Liquidity Trap and Deflation: The Foolproof Way and Others," Journal of Economic Perspectives, American Economic Association, vol. 17(4), pages 145-166, Fall.
    47. Roberto M. Billi & George A. Kahn, 2008. "What is the optimal inflation rate?," Economic Review, Federal Reserve Bank of Kansas City, vol. 93(Q II), pages 5-28.
    48. Jung, Taehun & Teranishi, Yuki & Watanabe, Tsutomu, 2005. "Optimal Monetary Policy at the Zero-Interest-Rate Bound," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(5), pages 813-835, October.
    49. Manuel S. Santos, 2000. "Accuracy of Numerical Solutions using the Euler Equation Residuals," Econometrica, Econometric Society, vol. 68(6), pages 1377-1402, November.
    50. M. H. Khalil Timamy, 2005. "Debate," Review of African Political Economy, Taylor & Francis Journals, vol. 32(104-105), pages 383-393, June.
    51. Smets, Frank, 2003. "Maintaining price stability: how long is the medium term?," Journal of Monetary Economics, Elsevier, vol. 50(6), pages 1293-1309, September.
    52. George A. Akerlof & William R. Dickens & George L. Perry, 1996. "The Macroeconomics of Low Inflation," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 27(1), pages 1-76.
    53. 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.
    54. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    55. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
    56. Marc Giannoni & Michael Woodford, 2004. "Optimal Inflation-Targeting Rules," NBER Chapters, in: The Inflation-Targeting Debate, pages 93-172, National Bureau of Economic Research, Inc.
    57. Giannoni, Marc P., 2002. "Does Model Uncertainty Justify Caution? Robust Optimal Monetary Policy In A Forward-Looking Model," Macroeconomic Dynamics, Cambridge University Press, vol. 6(1), pages 111-144, February.
    58. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
    59. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
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    More about this item

    Keywords

    Inflation Inertia; Downward Nominal Rigidity; Nonlinear Policy; Liquidity Trap;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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