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Indeterminacy in a Forward Looking Regime Switching Model

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  • Roger E. A. Farmer
  • Daniel F. Waggoner
  • Tao Zha

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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File URL: http://www.nber.org/papers/w12540.pdf
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Bibliographic Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 12540.

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Date of creation: Sep 2006
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Publication status: published as Roger E. A. Farmer & Daniel F. Waggoner & Tao Zha, 2009. "Indeterminacy in a forward-looking regime switching model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 69-84.
Handle: RePEc:nbr:nberwo:12540

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  1. Clarida, Richard & Galí, Jordi & Gertler, Mark, 1998. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," CEPR Discussion Papers 1908, C.E.P.R. Discussion Papers.
  2. Roger E. A. Farmer & Daniel F. Waggoner & Tao Zha, 2010. "Minimal State Variable Solutions to Markov-switching Rational Expectations Models," Emory Economics 1003, Department of Economics, Emory University (Atlanta).
  3. Svensson, Lars E O & Williams, Noah, 2007. "Monetary Policy with Model Uncertainty: Distribution Forecast Targeting," CEPR Discussion Papers 6331, C.E.P.R. Discussion Papers.
  4. Troy Davig & Eric M. Leeper, 2006. "Generalizing the Taylor Principle," Caepr Working Papers 2006-001, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  5. 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.
  6. Julio J. Rotemberg & Michael Woodford, 1998. "Interest-Rate Rules in an Estimated Sticky Price Model," NBER Working Papers 6618, National Bureau of Economic Research, Inc.
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