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Price-Level Determinacy, Lower Bounds on the Nominal Interest Rate, and Liquidity Traps

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  • Alstadheim Ragna

    ()
    (Norges Bank)

  • Henderson Dale W.

    ()
    (Federal Reserve Board)

Abstract

We study standard monetary-policy rules with inflation-rate targets and either interest-rate or money-supply instruments using a flexible-price, perfect-foresight model. We focus mainly on interest-rate rules, but the results for money-supply rules are analogous. A locally-unique target equilibrium always exists. There are also below-target equilibria (BTE) with inflation below target and constant or asymptotically approaching or eventually reaching a below-target value. Liquidity traps are neither necessary nor sufficient for BTE. Such equilibria can also arise if monetary policy keeps the interest rate above a lower bound. We construct monetary-policy rules that preclude BTE. All are non-monotonic and discontinuous in current inflation. Each implies a difference equation in inflation. Some of these difference equations are continuous, but others are not. They are all non-monotonic and non-differentiable at a point. We argue that Japan's difficulties in the 1990s were probably the result of a stabilization problem rather than an indeterminacy problem.

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Bibliographic Info

Article provided by De Gruyter in its journal The B.E. Journal of Macroeconomics.

Volume (Year): 6 (2006)
Issue (Month): 1 (November)
Pages: 1-27

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Handle: RePEc:bpj:bejmac:v:contributions.6:y:2006:i:1:n:12

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  1. Bennett McCallum, 2002. "Inflation Targeting and the Liquidity Trap," Central Banking, Analysis, and Economic Policies Book Series, in: Norman Loayza & Raimundo Soto & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series Editor) (ed.), Inflation Targeting: Desing, Performance, Challenges, edition 1, volume 5, chapter 9, pages 395-438 Central Bank of Chile.
  2. Athanasios Orphanides & Volker Wieland, 1999. "Efficient monetary policy design near price stability," Finance and Economics Discussion Series 1999-67, Board of Governors of the Federal Reserve System (U.S.).
  3. Woodford, Michael, 1994. "Monetary Policy and Price Level Determinacy in a Cash-in-Advance Economy," Economic Theory, Springer, vol. 4(3), pages 345-80.
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  6. Benhabib, Jess & Schmitt-Grohé, Stephanie & Uribe, Martín, 2001. "Avoiding Liquidity Traps," CEPR Discussion Papers 2948, C.E.P.R. Discussion Papers.
  7. 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(2), pages 137-206.
  8. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 1998. "The perils of Taylor Rules," Departmental Working Papers 199831, Rutgers University, Department of Economics.
  9. Evans, George W. & Honkapohja , Seppo, 2003. "Policy interaction, expectations and the liquidity trap," Research Discussion Papers 22/2003, Bank of Finland.
  10. 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.
  11. Evans , George W. & Honkapohja, Seppo, 2002. "Policy interaction, learning and the fiscal theory of prices," Research Discussion Papers 18/2002, Bank of Finland.
  12. Evans, George W & Honkapohja, Seppo, 2003. "Policy Interaction, Expectation and Liquidity Trap," CEPR Discussion Papers 3925, C.E.P.R. Discussion Papers.
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  15. repec:nbr:nberwo:8225 is not listed on IDEAS
  16. Stephanie Schmitt-Grohe & Martin Uribe, 1998. "Price Level Determinacy and Monetary Policy under a Balanced-Budget Requirement," Departmental Working Papers 199833, Rutgers University, Department of Economics.
  17. Canzoneri, Matthew B & Cumby, Robert & Diba, Behzad, 1998. "Is the Price Level Determined by the Needs of Fiscal Solvency?," CEPR Discussion Papers 1772, C.E.P.R. Discussion Papers.
  18. Michael Woodford, 2001. "Fiscal Requirements for Price Stability," NBER Working Papers 8072, National Bureau of Economic Research, Inc.
  19. Norman Loayza & Raimundo Soto, 2002. "Inflation Targeting: An Overview," Central Banking, Analysis, and Economic Policies Book Series, in: Norman Loayza & Raimundo Soto & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series Editor) (ed.), Inflation Targeting: Desing, Performance, Challenges, edition 1, volume 5, chapter 1, pages 001-022 Central Bank of Chile.
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Cited by:
  1. Bennett T. McCallum, 2003. "Multiple-Solution Indeterminacies in Monetary Policy Analysis," NBER Working Papers 9837, National Bureau of Economic Research, Inc.
  2. 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.
  3. Alexander W. Richter & Nathaniel A. Throckmorton, 2014. "The Zero Lower Bound: Frequency, Duration, and Numerical Convergence," Auburn Economics Working Paper Series auwp2014-09, Department of Economics, Auburn University.
  4. 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.
  5. Sugo, Tomohiro & Ueda, Kozo, 2008. "Eliminating a deflationary trap through superinertial interest rate rules," Economics Letters, Elsevier, vol. 100(1), pages 119-122, July.
  6. 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.).
  7. 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.
  8. repec:hal:wpaper:halshs-00590558 is not listed on IDEAS
  9. Jean-Pascal Bénassy & Michel Guillard, 2005. "The Taylor Principle and Global Determinacy in a Non-Ricardian World," Documents de recherche 05-26, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
  10. 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.

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