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Global dynamics at the zero lower bound

  • William T. Gavin
  • Benjamin D. Keen
  • Alexander Richter
  • Nathaniel Throckmorton

This article presents global solutions to standard New Keynesian models to show how economic dynamics change when the nominal interest rate is constrained at its zero lower bound (ZLB). We focus on the canonical New Keynesian model without capital, but we also study the model with capital, with and without investment adjustment costs. Our solution method emphasizes accuracy to capture the expectational effects of hitting the ZLB and returning to a positive interest rate. We find that the response to a technology shock has perverse consequences when the ZLB binds, even when a discount factor shock drives the interest rate to zero. Although we do not model the large scale asset purchases used by the Fed since 2009, our results suggest that the economy may have trouble recovering if the interest rate remains at zero. Given the perverse dynamics at the ZLB, we evaluate how monetary policy affects the likelihood of encountering the ZLB. We find that the probability of hitting the ZLB depends importantly on the monetary policy rule. A policy rule based on a dual mandate, such as the one proposed by Taylor (1993), is more likely to cause ZLB events when the central bank places greater emphasis on the output gap.

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Paper provided by Federal Reserve Bank of St. Louis in its series Working Papers with number 2013-007.

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Date of creation: 2013
Date of revision:
Handle: RePEc:fip:fedlwp:2013-007
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  1. Lawrence Christiano & Martin Eichenbaum & Sergio Rebelo, 2009. "When is the government spending multiplier large?," NBER Working Papers 15394, National Bureau of Economic Research, Inc.
  2. Fernández-Villaverde, Jesús & Gordon, Grey & Guerron-Quintana, Pablo A. & Rubio-Ramírez, Juan Francisco, 2012. "Nonlinear Adventures at the Zero Lower Bound," CEPR Discussion Papers 8972, C.E.P.R. Discussion Papers.
  3. Erceg, Christopher & Lindé, Jesper, 2010. "Is There a Fiscal Free Lunch in a Liquidity Trap?," CEPR Discussion Papers 7624, C.E.P.R. Discussion Papers.
  4. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 1998. "The Perils of Taylor Rules," Working Papers 98-37, C.V. Starr Center for Applied Economics, New York University.
  5. Todd B. Walker & Alexander W. Richter & Nathaniel A. Throckmorton, 2014. "Accuracy, Speed and Robustness of Policy Function Iteration," Auburn Economics Working Paper Series auwp2014-08, Department of Economics, Auburn University.
  6. 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.
  7. Gertler, Mark & Karadi, Peter, 2011. "A model of unconventional monetary policy," Journal of Monetary Economics, Elsevier, vol. 58(1), pages 17-34, January.
  8. Adam S. Posen, 1998. "Restoring Japan's Economic Growth," Peterson Institute Press: All Books, Peterson Institute for International Economics, number 35.
  9. Orphanides, Athanasios, 2003. "Monetary policy evaluation with noisy information," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 605-631, April.
  10. Athanasios Orphanides & Simon Van_Norden, 2000. "The Reliability of Output Gap Estimates in Real Time," Econometric Society World Congress 2000 Contributed Papers 0768, Econometric Society.
  11. William B. Peterman, 2012. "Reconciling micro and macro estimates of the Frisch labor supply elasticity," Finance and Economics Discussion Series 2012-75, Board of Governors of the Federal Reserve System (U.S.).
  12. Klaus Adam & Roberto M. Billi, 2005. "Optimal monetary policy under commitment with a zero bound on nominal interest rates," Research Working Paper RWP 05-07, Federal Reserve Bank of Kansas City.
  13. Stephanie Schmitt-Grohe & Martin Uribe, 2004. "Optimal Simple and Implementable Monetary and Fiscal Rules," NBER Working Papers 10253, National Bureau of Economic Research, Inc.
  14. 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.
  15. Dixit, Avinash K & Stiglitz, Joseph E, 1975. "Monopolistic Competition and Optimum Product Diversity," The Warwick Economics Research Paper Series (TWERPS) 64, University of Warwick, Department of Economics.
  16. Olivier J. Blanchard & Giovanni Dell'Ariccia & Paolo Mauro, 2010. "Rethinking Macroeconomic Policy," IMF Staff Position Notes 2010/03, International Monetary Fund.
  17. Susanto Basu & Brent Bundick, 2011. "Uncertainty Shocks in a Model of Effective Demand," Boston College Working Papers in Economics 774, Boston College Department of Economics, revised 01 Nov 2015.
  18. Takatoshi Ito & Frederic S. Mishkin, 2004. "Two Decades of Japanese Monetary Policy and the Deflation Problem," NBER Working Papers 10878, National Bureau of Economic Research, Inc.
  19. Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September.
  20. James B. Bullard, 2010. "Seven faces of "the peril"," Review, Federal Reserve Bank of St. Louis, issue Sep, pages 339-352.
  21. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
  22. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2001. "Nominal rigidities and the dynamic effects of a shock to monetary policy," Working Paper 0107, Federal Reserve Bank of Cleveland.
  23. R. Anton Braun & Yuichiro Waki, 2005. "Monetary Policy during Japan's Lost Decade," CIRJE F-Series CIRJE-F-343, CIRJE, Faculty of Economics, University of Tokyo.
  24. Narayana R. Kocherlakota, 2005. "Optimal monetary policy: what we know and what we don’t know," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Oct, pages 10-19.
  25. Alexander L. Wolman, 2003. "Real implications of the zero bound on nominal interest rates," Working Paper 03-15, Federal Reserve Bank of Richmond.
  26. Susanto Basu & John G. Fernald, 2009. "What do we know and not know about potential output?," Working Paper Series 2009-05, Federal Reserve Bank of San Francisco.
  27. Troy Davig & Eric M. Leeper, 2007. "Generalizing the Taylor Principle," American Economic Review, American Economic Association, vol. 97(3), pages 607-635, June.
  28. Olivier Coibion & Yuriy Gorodnichenko & Johannes F. Wieland, 2010. "The Optimal Inflation Rate in New Keynesian Models," NBER Working Papers 16093, National Bureau of Economic Research, Inc.
  29. Coenen, Günter & Orphanides, Athanasios & Wieland, Volker, 2003. "Price Stability and Monetary Policy Effectiveness when Nominal Interest Rates are Bounded at Zero," CEPR Discussion Papers 3892, C.E.P.R. Discussion Papers.
  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 813-35, October.
  31. Stephanie Schmitt-Grohé & Martín Uribe, 2012. "The Making Of A Great Contraction With A Liquidity Trap and A Jobless Recovery," NBER Working Papers 18544, National Bureau of Economic Research, Inc.
  32. S. Borağan Aruoba & Pablo Cuba-Borda & Frank Schorfheide, 2013. "Macroeconomic Dynamics Near the ZLB: A Tale of Two Countries," NBER Working Papers 19248, National Bureau of Economic Research, Inc.
  33. Ivan Werning, 2011. "Managing a Liquidity Trap: Monetary and Fiscal Policy," 2011 Meeting Papers 1435, Society for Economic Dynamics.
  34. Ireland, Peter N., 1997. "A small, structural, quarterly model for monetary policy evaluation," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 47(1), pages 83-108, December.
  35. William T. Gavin & Benjamin D. Keen, 2012. "The zero lower bound and the dual mandate," Working Papers 2012-026, Federal Reserve Bank of St. Louis.
  36. Michael T. Kiley, 2003. "Why Is Inflation Low When Productivity Growth Is High?," Economic Inquiry, Western Economic Association International, vol. 41(3), pages 392-406, July.
  37. repec:oup:restud:v:79:y:2012:i:4:p:1371-1406 is not listed on IDEAS
  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. Taylor, John B, 1979. "Estimation and Control of a Macroeconomic Model with Rational Expectations," Econometrica, Econometric Society, vol. 47(5), pages 1267-86, September.
  40. Braun, R Anton & Koerber, Lena & Waki, Yuichiro, 2015. "Some Unpleasant Properties of Loglinearized Solutions When the Nominal Rate is Zero," Bank of England working papers 553, Bank of England.
  41. Hess Chung & Jean-Philippe Laforte & David L. Reifschneider & John C. Williams, 2011. "Have we underestimated the likelihood and severity of zero lower bound events?," Working Paper Series 2011-01, Federal Reserve Bank of San Francisco.
  42. Orphanides, Athanasios, 1999. "The Quest for Prosperity Without Inflation," Working Paper Series 93, Sveriges Riksbank (Central Bank of Sweden).
  43. Christopher J. Erceg and Andrew T. Levin, 2001. "Imperfect Credibility and Inflation Persistence," Computing in Economics and Finance 2001 19, Society for Computational Economics.
  44. R. Anton Braun & Lena Mareen Körber, 2011. "New Keynesian dynamics in a low interest rate environment," FRB Atlanta Working Paper 2011-10, Federal Reserve Bank of Atlanta.
  45. Wilbur John Coleman, 1989. "Equilibrium in a production economy with an income tax," International Finance Discussion Papers 366, Board of Governors of the Federal Reserve System (U.S.).
  46. repec:oup:restud:v:81:y:2014:i:4:p:637-1667 is not listed on IDEAS
  47. Bennett T. McCallum, 2001. "Inflation targeting and the liquidity trap," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  48. S. Boragan Aruoba & Frank Schorfheide, 2013. "Macroeconomic dynamics near the ZLB: a tale of two equilibria," Working Papers 13-29, Federal Reserve Bank of Philadelphia.
  49. 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.
  50. 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.
  51. Eberly, Janice C., 1997. "International evidence on investment and fundamentals," European Economic Review, Elsevier, vol. 41(6), pages 1055-1078, June.
  52. 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 625-31, August.
  53. Yuriy Gorodnichenko & Johannes Wieland & Olivier Coibion, 2012. "The Optimal Inflation Rate in New Keynesian Models: Should Central Banks Raise Their Inflation Targets in Light of the Zero Lower Bound?," 2012 Meeting Papers 70, Society for Economic Dynamics.
  54. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
  55. Hatcher, Michael C., 2011. "Inflation versus price-level targeting and the zero lower bound: Stochastic simulations from the Smets-Wouters US model," Cardiff Economics Working Papers E2011/24, Cardiff University, Cardiff Business School, Economics Section.
  56. Braun, R. Anton & Korber, Lena Mareen & Waki, Yuichiro, 2013. "Small and orthodox fiscal multipliers at the zero lower bound," FRB Atlanta Working Paper 2013-13, Federal Reserve Bank of Atlanta.
  57. Mertens, Karel & Ravn, Morten O, 2010. "Fiscal Policy in an Expectations Driven Liquidity Trap," CEPR Discussion Papers 7931, C.E.P.R. Discussion Papers.
  58. Gauti B. Eggertsson, 2010. "The paradox of toil," Staff Reports 433, Federal Reserve Bank of New York.
  59. Rotemberg, Julio J, 1982. "Sticky Prices in the United States," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1187-1211, December.
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