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Price-level determinacy, lower bounds on the nominal interest rate, and liquidity traps

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We consider standard monetary-policy rules with inflation-rate targets and interest-rate or money-growth instruments using a flexible-price, perfect-foresight model. There is always a locally-unique target equilibrium. There are also below-target equilibria (BTE) with inflation always below target and constant asymptotically approaching or eventually reaching a below-target value. Liquidity traps are neither necessary or sufficient for BTE which can arise if monetary policy keeps the interest rate above a lower bound. We construct monetary-policy rules that preclude BTE, some which are monotonic in inflation but all of which are non-differentiable at a point. For standard monetary-policy rules, there are plausible fiscal policies that insure uniqueness by precluding BTE; those policies exclude perpetual surpluses and, possibly, perpetual balanced budgets.

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Bibliographic Info

Paper provided by Norges Bank in its series Working Paper with number 2006/03.

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Length: 34 pages
Date of creation: 18 Apr 2006
Date of revision:
Handle: RePEc:bno:worpap:2006_03

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Keywords: Zero bound; liquidity trap; inflation targeting; determinancy;

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  1. Obstfeld, Maurice & Rogoff, Kenneth, 1986. "Ruling out divergent speculative bubbles," Journal of Monetary Economics, Elsevier, vol. 17(3), pages 349-362, May.
  2. George W. Evans & Seppo Honkapohja, 2002. "Policy Interaction, Learning and the Fiscal Theory of Prices," University of Oregon Economics Department Working Papers 2002-17, University of Oregon Economics Department, revised 07 Jun 2007.
  3. 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.
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Citations

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Cited by:
  1. Jean-Pascal Bénassy & Michel Guillard, 2005. "The Taylor principle and global determinacy in a non Ricardian world," PSE Working Papers halshs-00590558, HAL.
  2. Jean-Pascal Bénassy & Michel Guillard, 2005. "The Taylor principle and global determinacy in a non Ricardian world," Working Papers halshs-00590558, HAL.
  3. Bennett T. McCallum, 2003. "Multiple-Solution Indeterminacies in Monetary Policy Analysis," NBER Working Papers 9837, National Bureau of Economic Research, Inc.
  4. Rym Aloui & Michel Guillard, 2009. "A Simple “Public Debt-Deflation” Theory: Leeper revisited," Documents de recherche 09-11, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
  5. 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.).
  6. Bennett T. McCallum, 2002. "Consistent Expectations, Rational Expectations, Multiple-Solution Indeterminacies, and Least-Squares Learnability," NBER Working Papers 9218, National Bureau of Economic Research, Inc.
  7. 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.
  8. Luis-Felipe Zanna & Marco Airaudo, 2012. "Interest Rate Rules, Endogenous Cycles, and Chaotic Dynamics in Open Economies," IMF Working Papers 12/121, International Monetary Fund.
  9. Airaudo, Marco & Zanna, Luis-Felipe, 2012. "Interest rate rules, endogenous cycles, and chaotic dynamics in open economies," Journal of Economic Dynamics and Control, Elsevier, vol. 36(10), pages 1566-1584.
  10. Sugo, Tomohiro & Ueda, Kozo, 2008. "Eliminating a deflationary trap through superinertial interest rate rules," Economics Letters, Elsevier, vol. 100(1), pages 119-122, July.

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