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Chaotic Interest Rate Rules

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Author Info
Benhabib, Jess
Schmitt-Grohe, Stephanie
Uribe, Martin

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Abstract

When the Central Bank sets nominal rates as a a non-decreasing function of the inflation rate to stabilize the economy, that is it uses a Taylor Rule, the zero lower bound on interest rates may result in multiple equilibria and a liquidity trap. However, if fiscal policy is non-Ricardian, or alternatively if monetary policy targets the growth rate of money when inflation is too low, in certain cases the uniqueness of the desirable equilibrium can be restored. This suggests the use of non-Ricardian fiscal policies for stabilization purposes. However, in this paper we show that such policies may fail in models calibrated to the US economy. While local uniqueness of all steady states may be achieved, bounded chaotic multiple equilibria in nominal interest rates and the inflation rate may well emerge as a result of Taylor rules despite non-Ricardian policies

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Publisher Info
Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2001 with number 259.

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Date of creation: 01 Apr 2001
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Handle: RePEc:sce:scecf1:259

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Related research
Keywords: Multiple equilibria; Taylor Rules; Chaos;

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Find related papers by JEL classification:
E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
E5 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Richard Clarida & Jordi Gali & Mark Gertler, 1997. "Monetary Policy Rules in Practice: Some International Evidence," NBER Working Papers 6254, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  2. Evans, George W. & Honkapohja, Seppo, 2003. "Existence of adaptively stable sunspot equilibria near an indeterminate steady state," Journal of Economic Theory, Elsevier, vol. 111(1), pages 125-134, July. [Downloadable!] (restricted)
    Other versions:
  3. Honkapohja, Seppo & Mitra, Kaushik, 2001. "Are Non-Fundamental Equilibria Learnable in Models of Monetary Policy?," CEPR Discussion Papers 2846, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  4. Calvo, Guillermo A, 1979. "On Models of Money and Perfect Foresight," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(1), pages 83-103, February. [Downloadable!] (restricted)
  5. Richard H. Clarida & Mark Gertler, 1997. "How the Bundesbank Conducts Monetary Policy," NBER Chapters, in: Reducing Inflation: Motivation and Strategy, pages 363-412 National Bureau of Economic Research, Inc. [Downloadable!]
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  6. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "The Perils of Taylor Rules," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 40-69, January. [Downloadable!] (restricted)
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  7. Leeper, Eric M., 1991. "Equilibria under 'active' and 'passive' monetary and fiscal policies," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 129-147, February. [Downloadable!] (restricted)
  8. Julio J. Rotemberg & Michael Woodford, 1998. "Interest-Rate Rules in an Estimated Sticky Price Model," NBER Working Papers 6618, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  9. Carlstrom, Charles T. & Fuerst, Timothy S., 2001. "Timing and real indeterminacy in monetary models," Journal of Monetary Economics, Elsevier, vol. 47(2), pages 285-298, April. [Downloadable!] (restricted)
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  10. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2001. "Monetary Policy and Multiple Equilibria," American Economic Review, American Economic Association, vol. 91(1), pages 167-186, March. [Downloadable!] (restricted)
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  11. 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. [Downloadable!] (restricted)
  12. Lawrence J. Christiano & Massimo Rostagno, 2001. "Money Growth Monitoring and the Taylor Rule," NBER Working Papers 8539, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  13. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules And Macroeconomic Stability: Evidence And Some Theory," The Quarterly Journal of Economics, MIT Press, vol. 115(1), pages 147-180, February. [Downloadable!] (restricted)
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  14. John B. Taylor, 1999. "A Historical Analysis of Monetary Policy Rules," NBER Chapters, in: Monetary Policy Rules, pages 319-348 National Bureau of Economic Research, Inc. [Downloadable!]
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  15. Michael Woodford, 1996. "Control of the Public Debt: A Requirement for Price Stability?," NBER Working Papers 5684, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  16. Fischer, Stanley, 1974. "Money and the Production Function," Economic Inquiry, Oxford University Press, vol. 12(4), pages 517-33, December.
  17. Stephanie Schmitt-Grohe & Martin Uribe, 2000. "Liquidity Traps with Global Taylor Rules," Departmental Working Papers 200014, Rutgers University, Department of Economics. [Downloadable!]
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  18. Charles T. Carlstrom & Timothy S. Fuerst, 2001. "Learning and the central bank," Working Paper 0117, Federal Reserve Bank of Cleveland. [Downloadable!]
    Other versions:
  19. Rotemberg, Julio J & Woodford, Michael, 1992. "Oligopolistic Pricing and the Effects of Aggregate Demand on Economic Activity," Journal of Political Economy, University of Chicago Press, vol. 100(6), pages 1153-1207, December. [Downloadable!] (restricted)
    Other versions:
  20. Schmitt-Grohe, Stephanie & Uribe, Martin, 2000. "Price level determinacy and monetary policy under a balanced-budget requirement," Journal of Monetary Economics, Elsevier, vol. 45(1), pages 211-246, February. [Downloadable!] (restricted)
    Other versions:
  21. James N. Duprey, 1980. "The search for a stable money demand equation," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Sum. [Downloadable!]
  22. Benhabib, Jess & Schmitt-Grohé, Stephanie & Uribe, Martín, 2001. "Avoiding Liquidity Traps," CEPR Discussion Papers 2948, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  23. Stephen M. Goldfeld, 1973. "The Demand for Money Revisited," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 4(1973-3), pages 577-646. [Downloadable!]
  24. anonymous, 1980. "What’s wrong with macroeconomics," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Sum. [Downloadable!]
  25. Taylor, John B, 1977. "Conditions for Unique Solutions in Stochastic Macroeconomic Models with Rational Expectations," Econometrica, Econometric Society, vol. 45(6), pages 1377-85, September. [Downloadable!] (restricted)
  26. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Jess Benhabib & Stefano Eusepi, 2005. "The design of monetary and fiscal policy: a global perspective," Proceedings, Federal Reserve Bank of San Francisco. [Downloadable!]
    Other versions:
  2. Orlando Gomes, 2004. "Volatility, Heterogeneous Agents and Chaos," GE, Growth, Math methods 0409010, EconWPA. [Downloadable!]
    Other versions:
  3. Benhabib, Jess & Schmitt-Grohé, Stephanie & Uribe, Martín, 2001. "Avoiding Liquidity Traps," CEPR Discussion Papers 2948, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  4. Orlando Gomes, 2004. "A Continuous-Time Asset Pricing Model with Boundedly Rational Heterogeneous Agents," Finance 0409055, EconWPA. [Downloadable!]
  5. Buiter, Willem H & Sibert, Anne, 2006. "Deflationary Bubbles," CEPR Discussion Papers 5637, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  6. Orlando Gomes, 2004. "Optimal Monetary Policy under Heterogeneous Expectations," Macroeconomics 0409023, EconWPA. [Downloadable!]
  7. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2003. "Backward-Looking Interest-Rate Rules, Interest-Rate Smoothing, and Macroeconomic Instability," Departmental Working Papers 200304, Rutgers University, Department of Economics. [Downloadable!]
    Other versions:
  8. Lawrence Christiano & Roberto Motto & Massimo Rostagno, 2007. "Two Reasons Why Money and Credit May be Useful in Monetary Policy," NBER Working Papers 13502, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  9. Stefano Eusepi, 2005. "Comparing forecast-based and backward-looking Taylor rules: a "global" analysis," Staff Reports 198, Federal Reserve Bank of New York. [Downloadable!]
  10. Stefano Eusepi, 2005. "Central bank transparency under model uncertainty," Staff Reports 199, Federal Reserve Bank of New York. [Downloadable!]
  11. Marco Airaudo & Luis-Felipe Zanna, 2005. "Interest rate rules, endogenous cycles, and chaotic dynamics in open economies," International Finance Discussion Papers 849, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  12. Marco Airaudo & Luis-Felipe Zanna, 2004. "Endogenous Fluctuations in Open Economies: the Perils of Taylor Rules Revisited," Econometric Society 2004 Latin American Meetings 80, Econometric Society. [Downloadable!]
    Other versions:
  13. Vivaldo M. Mendes & Diana A. Mendes, 2006. "Active Interest Rate Rules and the Role of Stabilization Policy R&D Tax Credits," Working Papers ercwp0208, ISCTE, UNIDE, Economics Research Centre. [Downloadable!]
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