Nothing Special   »   [go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/sce/scecf4/67.html
   My bibliography  Save this paper

Optimal Monetary Policy under Commitment with a Zero Bound on Nominal Interest Rates

Author

Listed:
  • Roberto M. Billi
  • Klaus Adam
Abstract
We compute the optimal nonlinear interest rate policy under commitment for a forward-looking stochastic model with monopolistic competition and sticky prices when nominal interest rates are bounded below by zero. Calibrating the model to the U.S. economy we find that the empirical magnitude of mark-up shocks is too small to entail zero nominal interest rates. While real rate shocks plausibly lead to a binding lower bound under optimal policy, this occurs quite infrequently and generates rather small average welfare losses. The presence of binding real rate shocks, however, requires that policy reduces nominal interest rates more aggressively than suggested by a model without lower bound or without binding shocks. Moreover, binding shocks alter the optimal policy response to non-binding shocks

Suggested Citation

  • Roberto M. Billi & Klaus Adam, 2004. "Optimal Monetary Policy under Commitment with a Zero Bound on Nominal Interest Rates," Computing in Economics and Finance 2004 67, Society for Computational Economics.
    • Handle: RePEc:sce:scecf4:67
    as

    Download full text from publisher

    File URL: http://www.wiwi.uni-frankfurt.de/Professoren/wieland/adam
    File Function: main text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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).
    13. repec:zbw:bofrdp:2003_022 is not listed on IDEAS
    14. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, April.
    15. 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.
    16. Albert Marcet & Ramon Marimon, 2019. "Recursive Contracts," Econometrica, Econometric Society, vol. 87(5), pages 1589-1631, September.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    23. 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.
    24. 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.
    25. 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.
    26. 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.
    27. Marvin Goodfriend, 2000. "Overcoming the zero bound on interest rate policy," Conference Series ; [Proceedings], Federal Reserve Bank of Boston, pages 1007-1057.
    28. 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.
    29. Roberto M. Billi, 2011. "Optimal Inflation for the US Economy," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(3), pages 29-52, July.
    30. 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.
    31. 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.
    32. 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.
    33. 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.
    34. 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.
    35. 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.
    36. 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.
    37. 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.
    38. 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.
    39. 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.
    40. 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.
    41. 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.
    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.
    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. Roberto M. Billi, 2011. "Optimal Inflation for the US Economy," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(3), pages 29-52, July.
    2. 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.
    3. Günter Coenen & Volker W. Wieland, 2004. "Exchange-Rate Policy and the Zero Bound on Nominal Interest Rates," American Economic Review, American Economic Association, vol. 94(2), pages 80-84, May.
    4. Gauti B. Eggertsson & Michael Woodford, 2003. "Optimal Monetary Policy in a Liquidity Trap," NBER Working Papers 9968, National Bureau of Economic Research, Inc.
    5. Ippei Fujiwara & Naoko Hara & Naohisa Hirakata & Shinichiro Watanabe & Kentaro Yoshimura, 2005. "Monetary Policy in a Liquidity Trap: What Have We Learned, and to What End?," International Finance, Wiley Blackwell, vol. 8(3), pages 471-508, December.
    6. Billi, Roberto M., 2018. "Price level targeting and risk management," Economic Modelling, Elsevier, vol. 73(C), pages 163-173.
    7. Gauti B. Eggertsson, 2013. "Fiscal Multipliers and Policy Coordination," Central Banking, Analysis, and Economic Policies Book Series, in: Luis Felipe Céspedes & Jordi Galí (ed.),Fiscal Policy and Macroeconomic Performance, edition 1, volume 17, chapter 6, pages 175-234, Central Bank of Chile.
    8. 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.
    9. Wieland, Volker & Binder, Michael & Lieberknecht, Philipp & Quintana, Jorge, 2017. "Model Uncertainty in Macroeconomics: On the Implications of Financial Frictions," CEPR Discussion Papers 12013, C.E.P.R. Discussion Papers.
    10. Dai, Meixing, 2011. "Quantitative and credit easing policies at the zero lower bound on the nominal interest rate," MPRA Paper 28129, University Library of Munich, Germany.
    11. Junning Cai, 2004. "Liquidity Trap Prevention and Escape: A Simple Proposition," Macroeconomics 0402033, University Library of Munich, Germany.
    12. 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.
    13. Anton Nakov, 2008. "Optimal and Simple Monetary Policy Rules with Zero Floor on the Nominal Interest Rate," International Journal of Central Banking, International Journal of Central Banking, vol. 4(2), pages 73-127, June.
    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. Klaeffling, Matt & López Pérez, Víctor, 2003. "Inflation targets and the liquidity trap," Working Paper Series 272, European Central Bank.
    16. Coenen, Gunter & Wieland, Volker, 2004. "Exchange-rate policy and the zero bound on nominal interest rates," MPRA Paper 76687, University Library of Munich, Germany.
    17. Bofinger, Peter & Schnabel, Isabel & Feld, Lars P. & Schmidt, Christoph M. & Wieland, Volker, 2014. "Mehr Vertrauen in Marktprozesse. Jahresgutachten 2014/15 [More confidence in market processes. Annual Report 2014/15]," Annual Economic Reports / Jahresgutachten, German Council of Economic Experts / Sachverständigenrat zur Begutachtung der gesamtwirtschaftlichen Entwicklung, volume 127, number 201415.
    18. Fujiwara, Ippei & Ueda, Kozo, 2013. "The fiscal multiplier and spillover in a global liquidity trap," Journal of Economic Dynamics and Control, Elsevier, vol. 37(7), pages 1264-1283.
    19. Fuchi, Hitoshi & Oda, Nobuyuki & Ugai, Hiroshi, 2008. "Optimal inflation for Japan's economy," Journal of the Japanese and International Economies, Elsevier, vol. 22(4), pages 439-475, December.
    20. Shin-Ichi Nishiyama, 2009. "Monetary Policy Lag, Zero Lower Bound, and Inflation Targeting," Staff Working Papers 09-2, Bank of Canada.

    More about this item

    Keywords

    nonlinear optimal policy; zero interest rate bound; liquidity trap;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

    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:sce:scecf4:67. 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: Christopher F. Baum (email available below). General contact details of provider: https://edirc.repec.org/data/sceeeea.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.