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On the Indeterminacy of New Keynesian Economics

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  • Roger E. A. Farmer
  • Andreas Beyer

Abstract

We study identification in a class of three-equation monetary models. We argue that these models are typically not identified. For any given exactly identified model, we provide an algorithm that generates a class of equivalent models that have the same reduced form. We use our algorithm to provide four examples of the consequences of lack of identification. In our first two examples we show that it is not possible to tell whether the policy rule or the Phillips curve is forward or backward looking. In example 3 we establish an equivalence between a class of models proposed by Benhabib and Farmer and the standard new-Keynesian model. This result is disturbing since equilibria in the Benhabib-Farmer model are typically indeterminate for a class of policy rules that generate determinate outcomes in the new-Keynesian model. In example 4, we show that there is an equivalence between determinate and indeterminate models even if one knows the structural equations of the model

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Bibliographic Info

Paper provided by Society for Economic Dynamics in its series 2004 Meeting Papers with number 187.

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Date of creation: 2004
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Handle: RePEc:red:sed004:187

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Keywords: New Keynesian; Indeterminacy; Identification;

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  1. Argia M. Sbordone, 2001. "An Optimizing Model of U.S. Wage and Price Dynamics," Departmental Working Papers 200110, Rutgers University, Department of Economics.
  2. Robert J. Gordon, 1996. "The Time-Varying NAIRU and its Implications for Economic Policy," NBER Working Papers 5735, National Bureau of Economic Research, Inc.
  3. 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.
  4. McCallum, Bennett T & Nelson, Edward, 1999. "An Optimizing IS-LM Specification for Monetary Policy and Business Cycle Analysis," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(3), pages 296-316, August.
  5. Roger E.A. Farmer, 1994. "The Econometrics of Indeterminacy: An Applied Study," UCLA Economics Working Papers 720, UCLA Department of Economics.
  6. Benhabib, J. & Farmer, R.E.A., 1999. "The Monetary Transmission Mechanism," Economics Working Papers eco99/35, European University Institute.
  7. repec:fth:starer:9613 is not listed on IDEAS
  8. Julio J. Rotemberg & Michael Woodford, 1998. "An Optimization-Based Econometric Framework for the Evaluation of Monetary Policy: Expanded Version," NBER Technical Working Papers 0233, National Bureau of Economic Research, Inc.
  9. James M. Nason & Gregor W. Smith, 2005. "Identifying the New Keynesian Phillips Curve," Working Papers 1026, Queen's University, Department of Economics.
  10. Jeff Fuhrer & George Moore, 1993. "Inflation persistence," Finance and Economics Discussion Series 93-17, Board of Governors of the Federal Reserve System (U.S.).
  11. Rudd, Jeremy & Whelan, Karl, 2005. "New tests of the new-Keynesian Phillips curve," Journal of Monetary Economics, Elsevier, vol. 52(6), pages 1167-1181, September.
  12. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
  13. Lubik, Thomas A. & Schorfheide, Frank, 2003. "Computing sunspot equilibria in linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 273-285, November.
  14. Kamihigashi, Takashi, 1996. "Real business cycles and sunspot fluctuations are observationally equivalent," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 105-117, February.
  15. Leeper, Eric M., 1991. "Equilibria under 'active' and 'passive' monetary and fiscal policies," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 129-147, February.
  16. Beyer, Andreas & Farmer, Roger E A, 2003. "Identifying the Monetary Transmission Mechanism Using Structural Breaks," CEPR Discussion Papers 4106, C.E.P.R. Discussion Papers.
  17. Lindé, Jesper, 2001. "The Empirical Relevance of Simple Forward- and Backward-looking Models: A View from a Dynamic General Equilibrium Model," Working Paper Series 130, Sveriges Riksbank (Central Bank of Sweden).
  18. Harold L. Cole & Lee E. Ohanian, 1999. "Aggregate returns to scale: why measurement is imprecise," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Sum, pages 19-28.
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