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Optimal monetary policy under commitment with a zero bound on nominal interest rates

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  • Adam, Klaus
  • Billi, Roberto M.

Abstract

We determine optimal monetary policy under commitment in a forwardlooking New Keynesian model when nominal interest rates are bounded below by zero. The lower bound represents an occasionally binding constraint that causes the model and optimal policy to be nonlinear. A calibration to the U.S. economy suggests that policy should reduce nominal interest rates more aggressively than suggested by a model without lower bound. Rational agents anticipate the possibility of reaching the lower bound in the future and this amplifies the effects of adverse shocks well before the bound is reached. While the empirical magnitude of U.S. mark-up shocks seems too small to entail zero nominal interest rates, shocks affecting the natural real interest rate plausibly lead to a binding lower bound. Under optimal policy, however, this occurs quite infrequently and does not require targeting a positive average rate of inflation. JEL Classification: C63, E31, E52

Suggested Citation

  • Adam, Klaus & Billi, Roberto M., 2004. "Optimal monetary policy under commitment with a zero bound on nominal interest rates," Working Paper Series 377, European Central Bank.
  • Handle: RePEc:ecb:ecbwps:2004377
    Note: 321199
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. George W. Evans & Seppo Honkapohja, 2005. "Policy Interaction, Expectations and the Liquidity Trap," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(2), pages 303-323, April.
    5. Michael Woodford, 1998. "Doing Without Money: Controlling Inflation in a Post-Monetary World," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(1), pages 173-219, January.
    6. 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.
    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. Coenen, Guenter & Wieland, Volker, 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 (CFS).
    9. 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.
    10. 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.
    11. 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.
    12. Orphanides, Athanasios, 2004. "Erratum to "Monetary policy in deflation: the liquidity trap in history and practice" [North Am. J. Econ. Finance 15 (1) (2004) 101-124]," The North American Journal of Economics and Finance, Elsevier, vol. 15(2), pages 265-265, August.
    13. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2002. "Avoiding Liquidity Traps," Journal of Political Economy, University of Chicago Press, vol. 110(3), pages 535-563, June.
    14. 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.
    15. Christiano, Lawrence J. & Fisher, Jonas D. M., 2000. "Algorithms for solving dynamic models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1179-1232, July.
    16. Albert Marcet & Ramon Marimon, 2019. "Recursive Contracts," Econometrica, Econometric Society, vol. 87(5), pages 1589-1631, September.
    17. Uhlig, H.F.H.V.S., 2000. "Should we be Afraid of Friedman's Rule?," Other publications TiSEM 75057545-86e1-4482-b63d-c, Tilburg University, School of Economics and Management.
    18. 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.
    19. Marvin Goodfriend, 2000. "Overcoming the zero bound on interest rate policy," Conference Series ; [Proceedings], Federal Reserve Bank of Boston, pages 1007-1057.
    20. 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.
    21. Roberto M. Billi, 2011. "Optimal Inflation for the US Economy," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(3), pages 29-52, July.
    22. 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.
    23. 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.
    24. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Optimal fiscal and monetary policy under sticky prices," Journal of Economic Theory, Elsevier, vol. 114(2), pages 198-230, February.
    25. Julio J. 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.
    26. 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.
    27. 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.
    28. 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.
    29. 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.
    30. Julio J. Rotemberg, 1987. "The New Keynesian Microfoundations," NBER Chapters, in: NBER Macroeconomics Annual 1987, Volume 2, pages 69-116, National Bureau of Economic Research, Inc.
    31. 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.
    32. Uhlig, Harald, 2000. "Should We Be Afraid of Friedman's Rule?," Journal of the Japanese and International Economies, Elsevier, vol. 14(4), pages 261-303, December.
    33. repec:zbw:bofrdp:2003_022 is not listed on IDEAS
    34. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    35. 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.
    36. Peter N. Ireland, 2004. "Technology Shocks in the New Keynesian Model," The Review of Economics and Statistics, MIT Press, vol. 86(4), pages 923-936, November.
    37. 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.
    38. 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.
    39. 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.
    40. S. Rao Aiyagari & Albert Marcet & Thomas J. Sargent & Juha Seppala, 2002. "Optimal Taxation without State-Contingent Debt," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1220-1254, December.
    41. 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.
    42. Mr. Gauti B. Eggertsson, 2003. "How to Fight Deflation in a Liquidity Trap: Committing to Being Irresponsible," IMF Working Papers 2003/064, International Monetary Fund.
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    More about this item

    Keywords

    commitment; liquidity trap; new keynesian; Nonlinear optimal policy; zero interest rate bound;
    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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