IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v57y2007i2p195-199.html
   My bibliography  Save this article

Chaotic dynamics in optimal monetary policy

Author

Listed:
  • O. Gomes
  • V. M. Mendes
  • D. A. Mendes
  • J. Sousa Ramos

Abstract

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 [NBER Macroeconomics Annual 1997 edited by B. Bernanke and J. Rotemberg (Cambridge, Mass.: MIT Press, 1997), pp. 231–282], Clarida et al. [J. Econ. Lit. 37, 1661 (1999)], Svensson [J. Mon. Econ. 43, 607 (1999)] and Woodford [Interest and Prices: Foundations of a Theory of Monetary Policy (Princeton, New Jersey, Princeton University Press, 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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • O. Gomes & V. M. Mendes & D. A. Mendes & J. Sousa Ramos, 2007. "Chaotic dynamics in optimal monetary policy," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(2), pages 195-199, May.
    • Handle: RePEc:spr:eurphb:v:57:y:2007:i:2:p:195-199
    DOI: 10.1140/epjb/e2007-00123-6
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1140/epjb/e2007-00123-6
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1140/epjb/e2007-00123-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Marvin Goodfriend & Robert G. King, 1997. "The New Neoclassical Synthesis and the Role of Monetary Policy," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 231-296, National Bureau of Economic Research, Inc.
    2. Svensson, Lars E. O., 1999. "Inflation targeting as a monetary policy rule," Journal of Monetary Economics, Elsevier, vol. 43(3), pages 607-654, June.
    3. 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.
    4. 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.
    5. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    6. Willi SEMMLER & Wenlang ZHANG, 2010. "Monetary Policy Rules with Nonlinear Philips Curve and Endogenous Nairu," EcoMod2004 330600128, EcoMod.
    7. 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.
    8. Nobay, A. R. & Peel, D. A., 2000. "Optimal monetary policy with a nonlinear Phillips curve," Economics Letters, Elsevier, vol. 67(2), pages 159-164, May.
    9. 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.
    10. Wenlang Zhang & Willi Semmler, 2004. "Monetary policy with endogenous Nairu," Computing in Economics and Finance 2004 64, Society for Computational Economics.
    11. Eric Schaling, 1999. "The non-linear Phillips curve and inflation forecast targeting," Bank of England working papers 98, Bank of England.
    12. 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.
    13. Zhang, Wenlang & Semmler, Willi, 2005. "Monetary Policy Rules Under Uncertainty: Empirical Evidence, Adaptive Learning, And Robust Control," Macroeconomic Dynamics, Cambridge University Press, vol. 9(5), pages 651-681, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Orlando Gomes & Diana A. Mendes & Vivaldo M. Mendes & José Sousa Ramos, 2006. "Endogenous Cycles in Optimal Monetary Policywith a Nonlinear Phillips Curve," Working Papers Series 1 ercwp1508, ISCTE-IUL, Business Research Unit (BRU-IUL).
    2. Paolo Surico, 2002. "Inflation Targeting and Nonlinear Policy Rules: the Case of Asymmetric Preferences," Macroeconomics 0210002, University Library of Munich, Germany, revised 23 Feb 2004.
    3. Orlando Gomes, 2010. "Nonlinear Inflation Expectations and Endogenous Fluctuations," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 4(3), pages 263-280, November.
    4. Coenen, Gunter & Wieland, Volker, 2005. "A small estimated euro area model with rational expectations and nominal rigidities," European Economic Review, Elsevier, vol. 49(5), pages 1081-1104, July.
    5. Glenn D. Rudebusch, 2002. "Assessing Nominal Income Rules for Monetary Policy with Model and Data Uncertainty," Economic Journal, Royal Economic Society, vol. 112(479), pages 402-432, April.
    6. Henrik Jensen, 2002. "Targeting Nominal Income Growth or Inflation?," American Economic Review, American Economic Association, vol. 92(4), pages 928-956, September.
    7. Shawn Chen‐Yu Leu & Jeffrey Sheen, 2006. "Asymmetric Monetary Policy in Australia," The Economic Record, The Economic Society of Australia, vol. 82(s1), pages 85-96, September.
    8. Glenn D. Rudebusch, 2002. "Assessing Nominal Income Rules for Monetary Policy with Model and Data Uncertainty," Economic Journal, Royal Economic Society, vol. 112(479), pages 402-432, April.
    9. Bilbiie, Florin O., 2008. "Limited asset markets participation, monetary policy and (inverted) aggregate demand logic," Journal of Economic Theory, Elsevier, vol. 140(1), pages 162-196, May.
    10. Alexander Mihailov, 2006. "Operational independence, inflation targeting, and UK monetary policy," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 28(3), pages 395-421.
    11. P Arestis & A Mihailov, 2009. "Flexible Rules cum Constrained Discretion: A New Consensus in Monetary Policy," Economic Issues Journal Articles, Economic Issues, vol. 14(2), pages 27-54, September.
    12. repec:rdg:wpaper:em-dp2007-53 is not listed on IDEAS
    13. Paolo Surico, 2004. "Inflation Targeting and Nonlinear Policy Rules: The Case of Asymmetric Preferences (new title: The Fed's monetary policy rule and U.S. inflation: The case of asymmetric preferences)," CESifo Working Paper Series 1280, CESifo.
    14. Marc Giannoni & Michael Woodford, 2004. "Optimal Inflation-Targeting Rules," NBER Chapters, in: The Inflation-Targeting Debate, National Bureau of Economic Research, Inc.
    15. Givens, Gregory E. & Salemi, Michael K., 2008. "Generalized method of moments and inverse control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3113-3147, October.
    16. Pelin Ilbas, 2006. "Optimal Monetary Policy rules for the Euro area in a DSGE framework," Working Papers of Department of Economics, Leuven ces0613, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    17. Carlin Wendy & Soskice David, 2005. "The 3-Equation New Keynesian Model --- A Graphical Exposition," The B.E. Journal of Macroeconomics, De Gruyter, vol. 5(1), pages 1-38, December.
    18. Gerson Nhapulo & João Nicolau, 2017. "Assessing Nonlinear Dynamics of Central Bank Reaction Function: The Case of Mozambique," South African Journal of Economics, Economic Society of South Africa, vol. 85(1), pages 28-51, March.
    19. Denise R. Osborn & Dong Heon Kim & Marianne Sensier, 2005. "Nonlinearity in the Fed's monetary policy rule," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(5), pages 621-639.
    20. Kurz, Mordecai & Jin, Hehui & Motolese, Maurizio, 2005. "The role of expectations in economic fluctuations and the efficacy of monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 29(11), pages 2017-2065, November.
    21. Beck, Guenter W. & Wieland, Volker, 2008. "Central bank misperceptions and the role of money in interest-rate rules," Journal of Monetary Economics, Elsevier, vol. 55(Supplemen), pages 1-17, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:eurphb:v:57:y:2007:i:2:p:195-199. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.