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Global and local determinacy in a one-step forward looking New Keynesian model

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  • Cornaro, Alessandra
  • Agliari, Anna

Abstract

In this paper we consider a New Keynesian model for optimal monetary policy in a staggered fashion. We provide the relations of a non linear model of general economic equilibrium, implementing a suitable Taylor-type interest rate rule. We characterize the conditions that guarantee local determinacy and explore conditions under which local bifurcations of the target equilibrium may occur. Afterwards, we argue how local determinacy might be associated with global indeterminacy, providing some numerical examples.

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Bibliographic Info

Article provided by Elsevier in its journal Economic Modelling.

Volume (Year): 28 (2011)
Issue (Month): 3 (May)
Pages: 1354-1362

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Handle: RePEc:eee:ecmode:v:28:y:2011:i:3:p:1354-1362

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Web page: http://www.elsevier.com/locate/inca/30411

Related research

Keywords: Nonlinear model Taylor rule Global determinacy Local bifurcation;

References

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  1. Barnett, William A. & Duzhak, Evgeniya A., 2008. "Empirical assessment of bifurcation regions within new Keynesian models," MPRA Paper 11249, University Library of Munich, Germany.
  2. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
  3. Sargent, Thomas J & Wallace, Neil, 1975. ""Rational" Expectations, the Optimal Monetary Instrument, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 241-54, April.
  4. Honkapohja, Seppo & Mitra, Kaushik, 2001. "Are Non-Fundamental Equilibria Learnable in Models of Monetary Policy?," CEPR Discussion Papers 2846, C.E.P.R. Discussion Papers.
  5. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
  6. George W. Evans & Bruce McGough, 2003. "Monetary Policy, Indeterminacy and Learning," University of Oregon Economics Department Working Papers 2003-34, University of Oregon Economics Department, revised 01 Apr 2004.
  7. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
  8. Stephanie Schmitt-Grohe & Martin Uribe, 2000. "Liquidity Traps with Global Taylor Rules," Departmental Working Papers 200014, Rutgers University, Department of Economics.
  9. 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.
  10. Stephanie Schmitt-Grohe & Jess Benhabib & Martin Uribe, 2001. "Monetary Policy and Multiple Equilibria," American Economic Review, American Economic Association, vol. 91(1), pages 167-186, March.
  11. McCallum, Bennett T., 1981. "Price level determinacy with an interest rate policy rule and rational expectations," Journal of Monetary Economics, Elsevier, vol. 8(3), pages 319-329.
  12. George W. Evans & Bruce McGough, 2002. "Stable Sunspot Solutions in Models with Predetermined Variables," University of Oregon Economics Department Working Papers 2002-16, University of Oregon Economics Department, revised 29 May 2003.
  13. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "The Perils of Taylor Rules," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 40-69, January.
  14. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
  15. Carl E. Walsh, 2003. "Monetary Theory and Policy, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232316, December.
  16. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521551861, October.
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Cited by:
  1. Agliari, Anna & Vachadze, George, 2014. "Credit market imperfection, labor supply complementarity, and output volatility," Economic Modelling, Elsevier, vol. 38(C), pages 45-56.

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