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Nonlinear inflation expectations and endogenous fluctuations

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Author Info
Gomes, Orlando

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Abstract

The standard new Keynesian monetary policy problem is, in its original presentation, a linear model. As a result, only three possibilities are admissible in terms of long term dynamics: the equilibrium may be a stable node, an unstable node or a saddle point. Fixed point stability (a stable node) is generally guaranteed only under an active monetary policy rule. The benchmark model also considers extremely simple assumptions about expectations (perfect foresight is frequently assumed). In this paper, one inquires how a change in the way inflation expectations are modelled implies a change in monetary policy results when an active Taylor rule is taken. By assuming that inflation expectations are constrained by the evolution of the output gap, we radically modify the implications of policy intervention: endogenous cycles, of various periodicities, and chaotic motion will be observable for reasonable parameter values.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 2842.

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Date of creation: Aug 2006
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Handle: RePEc:pra:mprapa:2842

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Related research
Keywords: Monetary policy; Taylor rule; Inflation expectations; Endogenous business cycles; Nonlinear dynamics and chaos;

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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  1. Clarida, Richard & Galí, Jordi & Gertler, Mark, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," CEPR Discussion Papers 2139, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  2. A. Robert Nobay & David A. Peel, 2003. "Optimal Discretionary Monetary Policy in a Model of Asymmetric Central Bank Preferences," Economic Journal, Royal Economic Society, vol. 113(489), pages 657-665, 07. [Downloadable!] (restricted)
  3. Ruge-Murcia, Francisco J., 2004. "The inflation bias when the central bank targets the natural rate of unemployment," European Economic Review, Elsevier, vol. 48(1), pages 91-107, February. [Downloadable!] (restricted)
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  4. Christian Jensen, 2006. "Expectations, Learning, and Discretionary Policymaking," International Journal of Central Banking, International Journal of Central Banking, vol. 2(4), December. [Downloadable!]
  5. Lars E. O. Svensson & Michael Woodford, 2003. "Implementing Optimal Policy through Inflation-Forecast Targeting," NBER Working Papers 9747, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. Marvin Goodfriend & Robert G. King, 1998. "The new neoclassical synthesis and the role of monetary policy," Working Paper 98-05, Federal Reserve Bank of Richmond. [Downloadable!]
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  7. RUGE-MURCIA, Francisco J., 2001. "A Prudent Central Banker," Cahiers de recherche 2001-07, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
    Other versions:
  8. Demosthenes N. Tambakis, 1999. "Monetary Policy with a Nonlinear Phillips Curve and Asymmetric Loss," Studies in Nonlinear Dynamics & Econometrics, Berkeley Electronic Press, vol. 3(4). [Downloadable!]
  9. Roberts, John M, 1995. "New Keynesian Economics and the Phillips Curve," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 975-84, November. [Downloadable!] (restricted)
  10. Pierpaolo Benigno & Michael Woodford, 2005. "Inflation Stabilization And Welfare: The Case Of A Distorted Steady State," Journal of the European Economic Association, MIT Press, vol. 3(6), pages 1185-1236, December. [Downloadable!] (restricted)
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  11. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-91, June. [Downloadable!] (restricted)
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