IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/18058.html
   My bibliography  Save this paper

Nonlinear Adventures at the Zero Lower Bound

Author

Listed:
  • Jesús Fernández-Villaverde
  • Grey Gordon
  • Pablo A. Guerrón-Quintana
  • Juan Rubio-Ramírez

Abstract

Motivated by the recent experience of the U.S. and the Eurozone, we describe the quantitative properties of a New Keynesian model with a zero lower bound (ZLB) on nominal interest rates, explicitly accounting for the nonlinearities that the bound brings. Besides showing how such a model can be efficiently computed, we find that the behavior of the economy is substantially affected by the presence of the ZLB. In particular, we document 1) the unconditional and conditional probabilities of hitting the ZLB; 2) the unconditional and conditional probabilty distributions of the duration of a spell at the ZLB; 3) the responses of output to government expenditure shocks at the ZLB, 4) the distribution of shocks that send the economy to the ZLB; and 5) the distribution of shocks that keep the economy at the ZLB.

Suggested Citation

  • Jesús Fernández-Villaverde & Grey Gordon & Pablo A. Guerrón-Quintana & Juan Rubio-Ramírez, 2012. "Nonlinear Adventures at the Zero Lower Bound," NBER Working Papers 18058, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:18058
    Note: EFG
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w18058.pdf
    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. 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.
    3. Stephanie Schmitt-Grohe & Jess Benhabib & Martin Uribe, 2001. "Monetary Policy and Multiple Equilibria," American Economic Review, American Economic Association, vol. 91(1), pages 167-186, March.
    4. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    5. 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.
    6. Nakata, Taisuke, 2016. "Optimal fiscal and monetary policy with occasionally binding zero bound constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 220-240.
    7. Kenneth L. Judd & Lilia Maliar & Serguei Maliar, 2011. "Numerically stable and accurate stochastic simulation approaches for solving dynamic economic models," Quantitative Economics, Econometric Society, vol. 2(2), pages 173-210, July.
    8. 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.
    9. 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.
    10. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
    11. Christopher Erceg & Jesper Lindé, 2014. "Is There A Fiscal Free Lunch In A Liquidity Trap?," Journal of the European Economic Association, European Economic Association, vol. 12(1), pages 73-107, February.
    12. Christopher Gust & Edward Herbst & David López-Salido & Matthew E. Smith, 2017. "The Empirical Implications of the Interest-Rate Lower Bound," American Economic Review, American Economic Association, vol. 107(7), pages 1971-2006, July.
    13. Richter Alexander W. & Throckmorton Nathaniel A., 2015. "The zero lower bound: frequency, duration, and numerical convergence," The B.E. Journal of Macroeconomics, De Gruyter, vol. 15(1), pages 1-26, January.
    14. Grey Gordon, 2020. "Computing Dynamic Heterogeneous-Agent Economies: Tracking the Distribution," Economic Quarterly, Federal Reserve Bank of Richmond, issue 2Q, pages 61-95.
    15. Troy Davig & Eric M. Leeper, 2007. "Generalizing the Taylor Principle," American Economic Review, American Economic Association, vol. 97(3), pages 607-635, June.
    16. Michael Woodford, 2011. "Simple Analytics of the Government Expenditure Multiplier," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(1), pages 1-35, January.
    17. 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.
    18. Boneva, Lena Mareen & Braun, R. Anton & Waki, Yuichiro, 2016. "Some unpleasant properties of loglinearized solutions when the nominal rate is zero," Journal of Monetary Economics, Elsevier, vol. 84(C), pages 216-232.
    19. 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.
    20. Eichenbaum, Martin & Fisher, Jonas D.M., 2007. "Estimating the frequency of price re-optimization in Calvo-style models," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 2032-2047, October.
    21. 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.
    22. Malin, Benjamin A. & Krueger, Dirk & Kubler, Felix, 2011. "Solving the multi-country real business cycle model using a Smolyak-collocation method," Journal of Economic Dynamics and Control, Elsevier, vol. 35(2), pages 229-239, February.
    23. Viktor Winschel & Markus Kr‰tzig, 2010. "Solving, Estimating, and Selecting Nonlinear Dynamic Models Without the Curse of Dimensionality," Econometrica, Econometric Society, vol. 78(2), pages 803-821, March.
    24. Kenneth Judd & Lilia Maliar & Serguei Maliar, 2012. "Merging simulation and projection approaches to solve high-dimensional problems," Working Papers. Serie AD 2012-20, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    25. Grey Gordon, 2011. "Computing Dynamic Heterogeneous-Agent Economies: Tracking the Distribution," PIER Working Paper Archive 11-018, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    26. 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.
    27. Christopher J. Gust & Edward P. Herbst & J. David López-Salido & Matthew E. Smith, 2012. "The Empirical Implications of the Interest-Rate Lower Bound," Finance and Economics Discussion Series 2012-83, Board of Governors of the Federal Reserve System (U.S.).
    28. Alexander L. Wolman, 1998. "Staggered price setting and the zero bound on nominal interest rates," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 1-24.
    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. Jesper Lindé & Mathias Trabandt, 2018. "Should we use linearized models to calculate fiscal multipliers?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(7), pages 937-965, November.
    2. Fernández-Villaverde, J. & Rubio-Ramírez, J.F. & Schorfheide, F., 2016. "Solution and Estimation Methods for DSGE Models," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 527-724, Elsevier.
    3. Hills, Timothy S. & Nakata, Taisuke & Schmidt, Sebastian, 2019. "Effective lower bound risk," European Economic Review, Elsevier, vol. 120(C).
    4. Nakata, Taisuke, 2016. "Optimal fiscal and monetary policy with occasionally binding zero bound constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 220-240.
    5. Yasuo Hirose & Atsushi Inoue, 2016. "The Zero Lower Bound and Parameter Bias in an Estimated DSGE Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(4), pages 630-651, June.
    6. Benjamin D. Keen & Alexander W. Richter & Nathaniel A. Throckmorton, 2017. "Forward Guidance And The State Of The Economy," Economic Inquiry, Western Economic Association International, vol. 55(4), pages 1593-1624, October.
    7. Gavin, William T. & Keen, Benjamin D. & Richter, Alexander W. & Throckmorton, Nathaniel A., 2015. "The zero lower bound, the dual mandate, and unconventional dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 55(C), pages 14-38.
    8. Bianchi, Francesco & Melosi, Leonardo & Rottner, Matthias, 2021. "Hitting the elusive inflation target," Journal of Monetary Economics, Elsevier, vol. 124(C), pages 107-122.
    9. Thorsten Drautzburg & Harald Uhlig, 2015. "Fiscal Stimulus and Distortionary Taxation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(4), pages 894-920, October.
    10. Lindé, J. & Smets, F. & Wouters, R., 2016. "Challenges for Central Banks’ Macro Models," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 2185-2262, Elsevier.
    11. Julien Albertini & Arthur Poirier, 2015. "Unemployment Benefit Extension at the Zero Lower Bound," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(4), pages 733-751, October.
    12. Taisuke Nakata, 2017. "Uncertainty at the Zero Lower Bound," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(3), pages 186-221, July.
    13. Deepa D. Datta & Benjamin K. Johannsen & Hannah Kwon & Robert J. Vigfusson, 2021. "Oil, Equities, and the Zero Lower Bound," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(2), pages 214-253, April.
    14. Volker Hahn, 2017. "Policy Effects in a Simple Fully Non-Linear New Keynesian Model of the Liquidity Trap," Working Paper Series of the Department of Economics, University of Konstanz 2017-05, Department of Economics, University of Konstanz.
    15. Benjamin K. Johannsen, 2014. "When are the Effects of Fiscal Policy Uncertainty Large?," Finance and Economics Discussion Series 2014-40, Board of Governors of the Federal Reserve System (U.S.).
    16. Yasuo Hirose & Takeki Sunakawa, 2019. "Review of Solution and Estimation Methods for Nonlinear Dynamic Stochastic General Equilibrium Models with the Zero Lower Bound," The Japanese Economic Review, Japanese Economic Association, vol. 70(1), pages 51-104, March.
    17. Timothy S. Hills & Taisuke Nakata, 2018. "Fiscal Multipliers at the Zero Lower Bound: The Role of Policy Inertia," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 50(1), pages 155-172, February.
    18. Florin O. Bilbiie, 2019. "Optimal Forward Guidance," American Economic Journal: Macroeconomics, American Economic Association, vol. 11(4), pages 310-345, October.
    19. Lindé, Jesper & Smets, Frank & Wouters, Rafael, 2016. "Challenges for Central Banks´ Macro Models," Working Paper Series 323, Sveriges Riksbank (Central Bank of Sweden).
    20. Lawrence J. Christiano & Martin S. Eichenbaum & Mathias Trabandt, 2018. "On DSGE Models," Journal of Economic Perspectives, American Economic Association, vol. 32(3), pages 113-140, Summer.

    More about this item

    JEL classification:

    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)
    • E50 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - General
    • E60 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - General

    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:18058. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/nberrus.html .

    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: (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 hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.