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On the Indeterminacy of New-Keynesian Economics

  • Andreas Beyer
  • Roger E. A. Farmer

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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Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2004 with number 152.

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Date of creation: 11 Aug 2004
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Handle: RePEc:sce:scecf4:152
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  1. 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.
  2. 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.
  3. James M. Nason & Gregor W. Smith, 2005. "Identifying the New Keynesian Phillips Curve," Working Papers 1026, Queen's University, Department of Economics.
  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. repec:fth:starer:9613 is not listed on IDEAS
  6. Benhabib, J. & Farmer, R.E.A., 1999. "The Monetary Transmission Mechanism," Economics Working Papers eco99/35, European University Institute.
  7. Gordon, Robert J, 1996. "The Time-varying NAIRU and its Implications for Economic Policy," CEPR Discussion Papers 1492, C.E.P.R. Discussion Papers.
  8. Jeff Fuhrer & George Moore, 1993. "Inflation persistence," Finance and Economics Discussion Series 93-17, Board of Governors of the Federal Reserve System (U.S.).
  9. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
  10. 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.
  11. 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).
  12. Argia M. Sbordone, 2001. "An Optimizing Model of U.S. Wage and Price Dynamics," Departmental Working Papers 200110, Rutgers University, Department of Economics.
  13. Farmer, Roger E. A. & Jang-Ting, Guo, 1995. "The econometrics of indeterminacy: an applied study," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 43(1), pages 225-271, December.
  14. 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.
  15. Kamihigashi, Takashi, 1996. "Real business cycles and sunspot fluctuations are observationally equivalent," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 105-117, February.
  16. 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.
  17. Richard Clarida & Jordi Galí & Mark Gertler, 1997. "Monetary policy rules and macroeconomic stability: Evidence and some theory," Economics Working Papers 350, Department of Economics and Business, Universitat Pompeu Fabra, revised May 1999.
  18. 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.
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