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When Does Determinacy Imply Expectational Stability?

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  • Stefano Eusepi

    (Federal Reserve Bank of New York)

  • James Bullard

    (Federal Reserve Bank of St. Louis)

Abstract

We study the connections between determinacy of rational expectations equilibrium, and expectational stability or learnability of that equilibrium, in a relatively general New Keynesian model. Adoption of policies that induce both determinacy and learnability of equilibrium has been considered fundamental to successful policy in the literature. We ask what types of economic assumptions drive differences in the necessary and sufficient conditions for the two criteria. Our framework is sufficiently flexible to encompass lags in information, alternative pricing assumptions, a cost channel for monetary policy, and either Euler equation or infinite horizon approaches to learning. We are able to isolate conditions under which determinacy does and does not imply learnability, and also conditions under which long horizon forecasts make a clear difference to conclusions about expectational stability. The sharpest result is that informational delays break equivalence connections between determinacy and learnability.

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Bibliographic Info

Paper provided by Society for Economic Dynamics in its series 2008 Meeting Papers with number 897.

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Date of creation: 2008
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Handle: RePEc:red:sed008:897

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  1. Bennett T. McCallum, 2006. "E-Stability vis-a-vis Determinacy Results for a Broad Class of Linear Rational Expectations Models," NBER Working Papers 12441, National Bureau of Economic Research, Inc.
  2. Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August.
  3. Bennett T. McCallum, 1997. "Issues in the Design of Monetary Policy Rules," NBER Working Papers 6016, National Bureau of Economic Research, Inc.
  4. Preston, Bruce, 2008. "Adaptive learning and the use of forecasts in monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3661-3681, November.
  5. Schmitt-Grohé, Stephanie & Uribe, Martín, 2004. "Optimal Simple and Implementable Monetary and Fiscal Rules," CEPR Discussion Papers 4334, C.E.P.R. Discussion Papers.
  6. Stefano Eusepi & Bruce Preston, 2007. "Central Bank Communication and Expectations Stabilization," NBER Working Papers 13259, National Bureau of Economic Research, Inc.
  7. Bruce Preston, 2003. "Learning about monetary policy rules when long-horizon expectations matter," Working Paper 2003-18, Federal Reserve Bank of Atlanta.
  8. Evans, George W & Honkapohja, Seppo, 2001. "Expectations and the Stability Problem for Optimal Monetary Policies," CEPR Discussion Papers 2805, C.E.P.R. Discussion Papers.
  9. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
  10. Ravenna, Federico & Walsh, Carl E., 2006. "Optimal monetary policy with the cost channel," Journal of Monetary Economics, Elsevier, vol. 53(2), pages 199-216, March.
  11. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
  12. Preston, Bruce, 2006. "Adaptive learning, forecast-based instrument rules and monetary policy," Journal of Monetary Economics, Elsevier, vol. 53(3), pages 507-535, April.
  13. Woodford, Michael, 2003. "Comment on: Multiple-solution indeterminacies in monetary policy analysis," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 1177-1188, July.
  14. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, June.
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Cited by:
  1. Martin Ellison & Joseph Pearlman, 2010. " Saddlepath Learning," CDMA Conference Paper Series 0710, Centre for Dynamic Macroeconomic Analysis.
  2. Ichiro Muto, 2008. "Monetary Policy and Learning from the Central Bank's Forecast," IMES Discussion Paper Series 08-E-01, Institute for Monetary and Economic Studies, Bank of Japan.

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