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Nonlinear Adventures at the Zero Lower Bound

  • Fernández-Villaverde, Jesús
  • Gordon, Grey
  • Guerron-Quintana, Pablo A.
  • Rubio-Ramírez, Juan Francisco

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.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 8972.

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Date of creation: May 2012
Date of revision:
Handle: RePEc:cpr:ceprdp:8972
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  1. Jesper Linde & Christopher J. Erceg, 2010. "Is There a Fiscal Free Lunch in a Liquidity Trap?," 2010 Meeting Papers 380, Society for Economic Dynamics.
  2. 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.
  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 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).
  5. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2001. "Nominal rigidities and the dynamic effects of a shock to monetary policy," Proceedings, Federal Reserve Bank of San Francisco, issue Jun.
  6. 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.
  7. Taisuke Nakata, 2013. "Optimal fiscal and monetary policy with occasionally binding zero bound constraints," Finance and Economics Discussion Series 2013-40, Board of Governors of the Federal Reserve System (U.S.).
  8. Michael Woodford, 2011. "Simple Analytics of the Government Expenditure Multiplier," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(1), pages 1-35, January.
  9. 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, 03.
  10. Braun, R. Anton & Körber, Lena Mareen & Waki, Yuichiro, 2012. "Some unpleasant properties of loglinearized solutions when the nominal rate is zero," FRB Atlanta Working Paper 2012-05, Federal Reserve Bank of Atlanta, revised 01 Nov 2015.
  11. 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.
  12. Klaus Adam & Roberto M. Billi, 2005. "Discretionary monetary policy and the zero lower bound on nominal interest rates," Research Working Paper RWP 05-08, Federal Reserve Bank of Kansas City.
  13. 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, 07.
  14. 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.
  15. 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.
  16. Alejandro Justiniano & Giorgio E. Primiceri, 2006. "The Time Varying Volatility of Macroeconomic Fluctuations," NBER Working Papers 12022, National Bureau of Economic Research, Inc.
  17. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, June.
  18. 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.
  19. Alexander W. Richter & Nathaniel A. Throckmorton, 2013. "The Zero Lower Bound: Frequency, Duration, and Determinacy," Auburn Economics Working Paper Series auwp2013-16, Department of Economics, Auburn University.
  20. repec:oup:qjecon:v:109:y:1994:i:3:p:659-84 is not listed on IDEAS
  21. Gust, Christopher & López-Salido, J David & Smith, Matthew E, 2012. "The Empirical Implications of the Interest-Rate Lower Bound," CEPR Discussion Papers 9214, C.E.P.R. Discussion Papers.
  22. Frank Smets & Raf Wouters, 2007. "Shocks and Frictions in US Business Cycles : a Bayesian DSGE Approach," Working Paper Research 109, National Bank of Belgium.
  23. Troy Davig & Eric M. Leeper, 2007. "Generalizing the Taylor Principle," American Economic Review, American Economic Association, vol. 97(3), pages 607-635, June.
  24. 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.
  25. Anton Nakov, 2006. "Optimal and Simple Monetary Policy Rules with Zero Floor on the Nominal Interest Rate," Banco de Espa�a Working Papers 0637, Banco de Espa�a.
  26. 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.
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