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Bounded interest rate feedback rules in continuous-time

Author

Listed:
  • Hippolyte d'Albis

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Emmanuelle Augeraud-Véron

    (MIA - Mathématiques, Image et Applications - ULR - La Rochelle Université)

  • Hermen Jan Hupkes

    (Mathematical institute - Universiteit Leiden = Leiden University)

Abstract

This paper analyzes the dynamic consequences of interest rate feedback rules in a flexible-price model where money enters the utility function. Two alternative rules are considered based on past or predicted inflation rates. The main feature is to consider inflation rates that are selected over a bounded time horizon. We prove that if the Central Bank's forecast horizon is not too long, an active and forward-looking monetary policy is not destabilizing: the equilibrium trajectory is unique and monotonic. This is an advantage with respect to active and backward-looking policies that are shown to lead to a unique but fluctuating dynamic.

Suggested Citation

  • Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2014. "Bounded interest rate feedback rules in continuous-time," Post-Print hal-01015388, HAL.
    • Handle: RePEc:hal:journl:hal-01015388
    DOI: 10.1016/j.jedc.2013.12.002
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    2. d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2014. "Multiple solutions in systems of functional differential equations," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 50-56.

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    Keywords

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    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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