Chaotic Dynamics in Optimal Monetary Policy
There is by now a large consensus in modern monetary policy. This consensus has been built upon a dynamic general equilibrium model of optimal monetary policy as developed by, e.g., Goodfriend and King (1997), Clarida et al. (1999), Svensson (1999) and Woodford (2003). In this paper we extend the standard optimal monetary policy model by introducing nonlinearity into the Phillips curve. Under the specific form of nonlinearity proposed in our paper (which allows for convexity and concavity and secures closed form solutions), we show that the introduction of a nonlinear Phillips curve into the structure of the standard model in a discrete time and deterministic framework produces radical changes to the major conclusions regarding stability and the efficiency of monetary policy. We emphasize the following main results: (i) instead of a unique fixed point we end up with multiple equilibria; (ii) instead of saddle--path stability, for different sets of parameter values we may have saddle stability, totally unstable equilibria and chaotic attractors; (iii) for certain degrees of convexity and/or concavity of the Phillips curve, where endogenous fluctuations arise, one is able to encounter various results that seem intuitively correct. Firstly, when the Central Bank pays attention essentially to inflation targeting, the inflation rate has a lower mean and is less volatile; secondly, when the degree of price stickiness is high, the inflation rate displays a larger mean and higher volatility (but this is sensitive to the values given to the parameters of the model); and thirdly, the higher the target value of the output gap chosen by the Central Bank, the higher is the inflation rate and its volatility.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Svensson, Lars E. O., 1999.
"Inflation targeting as a monetary policy rule,"
Journal of Monetary Economics,
Elsevier, vol. 43(3), pages 607-654, June.
- Svensson, L.E.O., 1998. "Inflation Targeting as a Monetary Policy Rule," Papers 646, Stockholm - International Economic Studies.
- Svensson, Lars E.O., 1998. "Inflation Targeting as a Monetary Policy Rule," Seminar Papers 646, Stockholm University, Institute for International Economic Studies.
- Svensson, Lars E O, 1998. "Inflation Targeting as a Monetary Policy Rule," CEPR Discussion Papers 1998, C.E.P.R. Discussion Papers.
- Svensson, Lars E. O., 1998. "Inflation targeting as a monetary policy rule," CFS Working Paper Series 1998/16, Center for Financial Studies (CFS).
- Lars E.O. Svensson, 1998. "Inflation Targeting as a Monetary Policy Rule," NBER Working Papers 6790, National Bureau of Economic Research, Inc.
- Dolado, Juan J. & María-Dolores, Ramón & Ruge-Murcia, Francisco J., 2002.
"Non-Linear Monetary Policy Rules: Some New Evidence for the US,"
CEPR Discussion Papers
3405, C.E.P.R. Discussion Papers.
- Dolado Juan & Pedrero Ramón María-Dolores & Ruge-Murcia Francisco J., 2004. "Nonlinear Monetary Policy Rules: Some New Evidence for the U.S," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 8(3), pages 1-34, September.
- DOLADO, J.J. & MARIA-DOLORES, R. & RUGE-MURCIA, Francisco J., 2003. "Nonlinear Monetary Policy Rules: Some New Evidence for the U.S," Cahiers de recherche 18-2003, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- J. J. Dolado & R. Maria-Dolores & F. J. Ruge-Murcia, 2002. "Nonlinear Monetary Policy Rules: Some New Evidence For The Us," Economics Working Papers we022910, Universidad Carlos III, Departamento de Economía.
- DOLADO, J.J. & MARIA-DOLORES, R. & RUGE-MURCIA, Francisco J., 2003. "Nonlinear Monetary Policy Rules: Some New Evidence for the U.S," Cahiers de recherche 2003-24, Universite de Montreal, Departement de sciences economiques.
- Tambakis Demosthenes N., 1999. "Monetary Policy with a Nonlinear Phillips Curve and Asymmetric Loss," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(4), pages 1-17, January.
- Clarida, R. & Gali, J. & Gertler, M., 1999.
"The Science of Monetary Policy: A New Keynesian Perspective,"
99-13, C.V. Starr Center for Applied Economics, New York University.
- Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
- Richard Clarida & Jordi Galí & Mark Gertler, 1997. "The science of monetary policy: A new Keynesian perspective," Economics Working Papers 356, Department of Economics and Business, Universitat Pompeu Fabra, revised Apr 1999.
- Richard Clarida & Jordi Gali & Mark Gertler, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," NBER Working Papers 7147, National Bureau of Economic Research, Inc.
- Clarida, Richard & Galí, Jordi & Gertler, Mark, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," CEPR Discussion Papers 2139, C.E.P.R. Discussion Papers.
- Marvin Goodfriend & Robert King, 1997.
"The New Neoclassical Synthesis and the Role of Monetary Policy,"
in: NBER Macroeconomics Annual 1997, Volume 12, pages 231-296
National Bureau of Economic Research, Inc.
- Marvin Goodfriend & Robert G. King, 1998. "The new neoclassical synthesis and the role of monetary policy," Working Paper 98-05, Federal Reserve Bank of Richmond.
- Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
- Eric Schaling, 1999. "The non-linear Phillips curve and inflation forecast targeting," Bank of England working papers 98, Bank of England.
- Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
- Zhang, Wenlang & Semmler, Willi, 2005. "Monetary Policy Rules Under Uncertainty: Empirical Evidence, Adaptive Learning, And Robust Control," Macroeconomic Dynamics, Cambridge University Press, vol. 9(05), pages 651-681, November.
When requesting a correction, please mention this item's handle: RePEc:arx:papers:nlin/0607064. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (arXiv administrators)
If references are entirely missing, you can add them using this form.