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

Author

Listed:
  • Ragna Alstadheim

    (Norges Bank (Central Bank of Norway))

  • Dale Henderson

    (Federal Reserve Board)

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.

Suggested Citation

  • Ragna Alstadheim & Dale Henderson, 2006. "Price-level determinacy, lower bounds on the nominal interest rate, and liquidity traps," Working Paper 2006/03, Norges Bank.
    • Handle: RePEc:bno:worpap:2006_03
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    Cited by:

    1. 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.
    2. Sugo, Tomohiro & Ueda, Kozo, 2008. "Eliminating a deflationary trap through superinertial interest rate rules," Economics Letters, Elsevier, vol. 100(1), pages 119-122, July.
    3. Tony Yates, 2004. "Monetary Policy and the Zero Bound to Interest Rates: A Review1," Journal of Economic Surveys, Wiley Blackwell, vol. 18(3), pages 427-481, July.
    4. Philip Coyle & Taisuke Nakata, 2019. "Optimal Inflation Target with Expectations-Driven Liquidity Traps," Finance and Economics Discussion Series 2019-036, Board of Governors of the Federal Reserve System (U.S.).
    5. John H. Cochrane, 2011. "Determinacy and Identification with Taylor Rules," Journal of Political Economy, University of Chicago Press, vol. 119(3), pages 565-615.
    6. McCallum, Bennett T., 2003. "Multiple-solution indeterminacies in monetary policy analysis," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 1153-1175, July.
    7. Ragna Alstadheim & Øistein Røisland, 2017. "When Preferences for a Stable Interest Rate Become Self‐Defeating," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 49(2-3), pages 393-415, March.
    8. Philip Coyle & Taisuke Nakata, 2020. "Optimal Inflation Target with Expectations-Driven Liquidity Traps," CARF F-Series CARF-F-485, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    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. Lansing, Kevin J., 2021. "Endogenous forecast switching near the zero lower bound," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 153-169.
    11. Richter Alexander W. & Throckmorton Nathaniel A., 2015. "The zero lower bound: frequency, duration, and numerical convergence," The B.E. Journal of Macroeconomics, De Gruyter, vol. 15(1), pages 1-26, January.
    12. 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.
    13. Luis-Felipe Zanna & Mr. Marco Airaudo, 2012. "Interest Rate Rules, Endogenous Cycles, and Chaotic Dynamics in Open Economies," IMF Working Papers 2012/121, International Monetary Fund.
    14. 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.
    15. Schmidt, Sebastian, 2016. "Lack of confidence, the zero lower bound, and the virtue of fiscal rules," Journal of Economic Dynamics and Control, Elsevier, vol. 70(C), pages 36-53.
    16. Alstadheim, Ragna, 2016. "The zero lower bound on the interest rate and a Neoclassical Phillips curve," Journal of Macroeconomics, Elsevier, vol. 47(PA), pages 116-130.
    17. Gomes, S. & Jacquinot, P. & Mestre, R. & Sousa, J., 2015. "Global policy at the zero lower bound in a large-scale DSGE model," Journal of International Money and Finance, Elsevier, vol. 50(C), pages 134-153.

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    More about this item

    Keywords

    Zero bound; liquidity trap; inflation targeting; determinancy;
    All these keywords.

    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; Modern Monetary Theory

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