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

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Author Info
Ragna Alstadheim (Norges Bank (Central Bank of Norway))
Dale Henderson (Federal Reserve Board)

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Abstract

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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Publisher 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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Related research
Keywords: Zero bound; liquidity trap; inflation targeting; determinancy;

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Find related papers by JEL classification:
E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money
E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy

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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. Gauti B. Eggertsson & Michael Woodford, 2003. "Optimal Monetary Policy in a Liquidity Trap," NBER Working Papers 9968, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. Paul R. Krugman, 1998. "It's Baaack: Japan's Slump and the Return of the Liquidity Trap," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 29(1998-2), pages 137-206. [Downloadable!]
  3. Evans , George W. & Honkapohja, Seppo, 2002. "Policy interaction, learning and the fiscal theory of prices," Research Discussion Papers 18/2002, Bank of Finland. [Downloadable!]
    Other versions:
  4. 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. [Downloadable!] (restricted)
    Other versions:
  5. Woodford, Michael, 2001. "Fiscal Requirements for Price Stability," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(3), pages 669-728, August.
    Other versions:
  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)
    Other versions:
  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. George W. Evans & Seppo Honkapohja, 2003. "Policy interaction, expectations, and the liquidity trap," Working Paper 2003-16, Federal Reserve Bank of Atlanta.
    Other versions:
  9. Bennett McCallum, 2001. "Inflation targeting and the liquidity trap," Proceedings, Federal Reserve Bank of San Francisco, issue Mar. [Downloadable!]
    Other versions:
  10. Obstfeld, Maurice & Rogoff, Kenneth, 1983. "Speculative Hyperinflations in Maximizing Models: Can We Rule Them Out?," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 675-87, August. [Downloadable!] (restricted)
    Other versions:
  11. 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(2003-1), pages 139-235. [Downloadable!]
  12. 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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  13. Svensson, Lars E O, 2000. "The Zero Bound in an Open Economy: A Foolproof Way of Escaping from a Liquidity Trap," CEPR Discussion Papers 2566, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  14. 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)
  15. Woodford, Michael, 1994. "Monetary Policy and Price Level Determinacy in a Cash-in-Advance Economy," Economic Theory, Springer, vol. 4(3), pages 345-80.
  16. Matthew B. Canzoneri & Robert E. Cumby & Behzad T. Diba, 2001. "Is the Price Level Determined by the Needs of Fiscal Solvency?," American Economic Review, American Economic Association, vol. 91(5), pages 1221-1238, December. [Downloadable!] (restricted)
    Other versions:
  17. Evans, George W & Honkapohja, Seppo, 2003. "Policy Interaction, Expectation and Liquidity Trap," CEPR Discussion Papers 3925, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  18. Michael Woodford, 2001. "The Taylor Rule and Optimal Monetary Policy," American Economic Review, American Economic Association, vol. 91(2), pages 232-237, May. [Downloadable!] (restricted)
  19. repec:bep:maccon:v:6:y:2006:i:1:p:1437-1437 is not listed on IDEAS
  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. 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:
  22. Obstfeld, Maurice & Rogoff, Kenneth, 1986. "Ruling out divergent speculative bubbles," Journal of Monetary Economics, Elsevier, vol. 17(3), pages 349-362, May. [Downloadable!] (restricted)
Full references

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. Loisel, O., 2006. "Bubble-free interest-rate rules," Documents de Travail 161, Banque de France. [Downloadable!]
  2. repec:bep:maccon:v:6:y:2006:i:1:p:1437-1437 is not listed on IDEAS
  3. 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. [Downloadable!] (restricted)
  4. 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!]
  5. Bennett T. McCallum, 2003. "Multiple-Solution Indeterminacies in Monetary Policy Analysis," NBER Working Papers 9837, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
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