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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

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Keywords: Nonlinear model Taylor rule Global determinacy Local bifurcation;

References

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  1. Benhabib, Jess & Schmitt-Grohé, Stephanie & Uribe, Martín, 1999. "Monetary Policy and Multiple Equilibria," CEPR Discussion Papers 2316, C.E.P.R. Discussion Papers.
  2. Evans, George W. & McGough, Bruce, 2003. "Monetary policy, indeterminacy and learning," CFS Working Paper Series 2003/37, Center for Financial Studies (CFS).
  3. 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.
  4. Kaushik Mitra & Seppo Honkapohja, 2004. "Are Non-Fundamental Equilibria Learnable in Models of Monetary Policy?," Royal Holloway, University of London: Discussion Papers in Economics 04/13, Department of Economics, Royal Holloway University of London, revised Jul 2004.
  5. James Bullard & Kaushik Mitra, 2002. "Learning about monetary policy rules," Working Papers 2000-001, Federal Reserve Bank of St. Louis.
  6. Dixit, Avinash K & Stiglitz, Joseph E, 1975. "Monopolistic Competition and Optimum Product Diversity," The Warwick Economics Research Paper Series (TWERPS) 64, University of Warwick, Department of Economics.
  7. GRANDMONT, Jean-Michel & PINTUS, Patrick & de VILDER, Robin, 1997. "Capital-labor substitution and competitive nonlinear endogenous business cycles," CORE Discussion Papers 1997087, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
  9. Benhabib, Jess & Schmitt-Grohé, Stephanie & Uribe, Martín, 1999. "The Perils of Taylor Rules," CEPR Discussion Papers 2314, C.E.P.R. Discussion Papers.
  10. 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.
  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. Stephanie Schmitt-Grohé & Martín Uribe, 2009. "Liquidity traps with global Taylor Rules," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 85-106.
  13. William Barnett & Evgeniya Duzhak, 2010. "Empirical assessment of bifurcation regions within New Keynesian models," Economic Theory, Springer, vol. 45(1), pages 99-128, October.
  14. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521551861.
  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. 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.
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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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