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Indeterminacy in a Forward Looking Regime Switching Model

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Author Info
Farmer, Roger E A
Waggoner, Daniel F
Zha, Tao

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Abstract

This paper is about the properties of Markov switching rational expectations (MSRE) models. We present a simple monetary policy model that switches between two regimes with known transition probabilities. The first regime, treated in isolation, has a unique determinate rational expectations equilibrium and the second contains a set of indeterminate sunspot equilibria. We show that the Markov switching model, which randomizes between these two regimes, may contain a continuum of indeterminate equilibria. We provide examples of stationary sunspot equilibria and bounded sunspot equilibria which exist even when the MSRE model satisfies a 'generalized Taylor principle'. Our result suggests that it may be more difficult to rule out non-fundamental equilibria in MRSE models than in the single regime case where the Taylor principle is known to guarantee local uniqueness.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 5919.

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Date of creation: Oct 2006
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Handle: RePEc:cpr:ceprdp:5919

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Related research
Keywords: indeterminacy; regime switching; Taylor Principle;

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Find related papers by JEL classification:
C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
E5 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit

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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. Lars Svensson & Noah Williams, 2005. "Monetary Policy with Model Uncertainty: Distribution Forecast Targeting," NBER Working Papers 11733, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  2. Troy Davig & Eric M. Leeper, 2005. "Generalizing the Taylor Principle," NBER Working Papers 11874, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  3. Julio J. Rotemberg & Michael Woodford, 1999. "Interest Rate Rules in an Estimated Sticky Price Model," NBER Chapters, in: Monetary Policy Rules, pages 57-126 National Bureau of Economic Research, Inc. [Downloadable!]
    Other versions:
  4. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules And Macroeconomic Stability: Evidence And Some Theory," The Quarterly Journal of Economics, MIT Press, vol. 115(1), pages 147-180, February. [Downloadable!] (restricted)
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  5. Roger E.A. Farmer & Daniel F. Waggoner & Tao Zha, 2008. "Minimal state variable solutions to Markov-switching rational expectations models," Working Paper 2008-23, Federal Reserve Bank of Atlanta. [Downloadable!]
  6. Robert G. King, 2000. "The new IS-LM model : language, logic, and limits," Economic Quarterly, Federal Reserve Bank of Richmond, issue Sum, pages 45-103. [Downloadable!]
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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. William A. Branch & Troy Davig & Bruce McGough, 2007. "Expectational stability in regime-switching rational expectations models," Research Working Paper RWP 07-09, Federal Reserve Bank of Kansas City. [Downloadable!]
  2. Troy Davig & Eric M. Leeper, 2005. "Generalizing the Taylor Principle," NBER Working Papers 11874, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  3. Jess Benhabib, 2009. "A Note on Regime Switching, Monetary Policy, and Multiple Equilibria," NBER Working Papers 14770, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  4. Roger E.A. Farmer & Daniel F. Waggoner & Tao Zha, 2007. "Understanding the New-Keynesian Model when Monetary Policy Switches Regimes," NBER Working Papers 12965, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  5. Roger E.A. Farmer & Daniel F. Waggoner & Tao Zha, 2008. "Minimal state variable solutions to Markov-switching rational expectations models," Working Paper 2008-23, Federal Reserve Bank of Atlanta. [Downloadable!]
  6. Chadha, J.S. & Corrado, L., 2007. "On the Determinacy of Monetary Policy under Expectational Errors," Cambridge Working Papers in Economics 0722, Faculty of Economics, University of Cambridge. [Downloadable!]
    Other versions:
  7. Jesús Fernández-Villaverde & Juan F Rubio-Ramírez, 2007. "How Structural Are Structural Parameters?," Levine's Bibliography 843644000000000057, UCLA Department of Economics. [Downloadable!]
    Other versions:
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