| Peer-Reviewed

Determinacy of Equilibrium in a New Keynesian Model with Monetary Policy Lag

Received: 11 December 2014    Accepted: 12 January 2015    Published: 22 January 2015
Views:       Downloads:
Abstract

We use the New Keynesian continuous-time framework to theoretically investigate the effects of a lag in a central bank’s response to economic fluctuations (i.e., monetary policy lag) on local equilibrium determinacy. In the case of a policy without lag, equilibrium is indeterminate even though a central bank’s policy response is sufficiently active. However, in the case of a policy with lag, an active monetary policy can contribute to local equilibrium determinacy if the lag is modest.

Published in International Journal of Economic Behavior and Organization (Volume 3, Issue 2-1)

This article belongs to the Special Issue Recent Developments of Economic Theory and Its Applications

DOI 10.11648/j.ijebo.s.2015030201.14
Page(s) 15-22
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Money in the Production Function (MIPF) Model, Policy Lag, System of Delay Differential Equations, Monetary Policy Rule, Taylor Principle

References
[1] T. Asada and H. Yoshida, “Stability, instability and complex behavior in macrodynamic models with policy lag,” Discrete Dynamics in Nature and Society, vol. 5(4), pp.281–295, 2001.
[2] R. E. Bellman and K. L. Cooke, Differential-Difference Equations, Academic Press, New York, 1963.
[3] J. Benhabib, S. Schmitt-Grohé, and M. Uribe, “Monetary policy and multiple equilibria,” American Economic Review, vol. 91(1), pp.167–186, 2001.
[4] J. Benhabib, S. Schmitt-Grohé, and M. Uribe, “Backward-looking interest-rate rules, interest-rate smoothing, and macroeconomic instability,” Journal of Money, Credit and Banking, vol. 35(6), pp.1379–1412, 2003.
[5] B. S. Bernanke and M. Woodford, “Inflation forecasts and monetary policy,” Journal of Money, Credit and Banking, vol. 29(4), pp.653–684, 1997.
[6] F. O. Bilbiie, “Limited asset markets participation, monetary policy and (inverted) aggregate demand logic,” Journal of Economic Theory, vol. 140(1), pp.162–196, 2008.
[7] O. J. Blanchard and N. Kiyotaki, “Monopolistic competition and the effects of aggregate demand,” American Economic Review, vol. 77(4), pp.647–666, 1987.
[8] E. F. Buffie, “The Taylor principle fights back, part I,” Journal of Economic Dynamics and Control, vol. 37, pp.2771–2795, 2013.
[9] C. T. Carlstrom and T. S. Fuerst, “Forward-looking versus backward-looking Taylor rules,” FRB Cleveland, no. 0009, 2000.
[10] C. T. Carlstrom and T. S. Fuerst, “Comment on “Backward-looking interest-rate rules, interest-rate smoothing, and macroeconomic instability” by Jess Benhabib,” Journal of Money, Credit and Banking, vol. 35(6), pp.1413–1423, 2003.
[11] C. T. Carlstrom and T. S. Fuerst, “Asset prices, nominal rigidities, and monetary policy,” Review of Economic Dynamics, vol. 10(2), pp.256–275, 2007.
[12] A. K. Dixit and J. E. Stiglitz, “Monopolistic competition and optimum product diversity,” American Economic Review, vol. 67(3), pp.297–308, 1977.
[13] R. C. Feenstra, “Functional equivalence between liquidity costs and the utility of money,” Journal of Monetary Economics, vol. 17(2), pp.271–291, 1986.
[14] M. Friedman, “A monetary and fiscal framework for economic stability,” American Economic Review, vol. 38(3), pp.245–264, 1948.
[15] J. Galí, Monetary Policy, Inflation, and the Business Cycle: An Introduction to the New Keynesian Framework, Princeton University Press, 2008.
[16] G. Gandolfo, Economic Dynamics, 4th ed., Springer-Verlag, 2010.
[17] A. Matsumoto and F. Szidarovszky, “An elementary study of a class of dynamic systems with two time delays,” Cubo (Temuco), vol. 14(3), pp.103–113, 2012.
[18] J. J. Rotemberg, “Sticky prices in the United States,” Journal of Political Economy, vol. 90(6), pp.1187–1211, 1982.
[19] J. B. Taylor, “Discretion versus policy rules in practice,” Carnegie-Rochester Conference Series on Public Policy, vol. 39, pp.195–214, North-Holland, 1993.
[20] E. Tsuzuki, “Unimodality of a weight function in backward-looking interest-rate rules and determinacy of equilibrium,” Keizaironsyu, vol. 100, pp.147–171, The Economics Society, Daito Bunka University, 2013.
[21] E. Tsuzuki, “A New Keynesian model with delay: Monetary policy lag and determinacy of equilibrium,” Economic Analysis and Policy, vol. 44(3), pp.279–291, 2014.
[22] E. Tsuzuki and T. Inoue, “Technological change and monetary policy in a sticky-price model,” Research in Economics, vol. 65(3), pp.180–194, 2011.
[23] C. E. Walsh, Monetary Theory and Policy, 3rd ed., MIT Press, 2010.
[24] M. Woodford, Interest and Prices: Foundations of a Theory of Monetary Policy, Princeton University Press, 2003.
[25] H. Yoshida and T. Asada, “Dynamic analysis of policy lag in a Keynes–Goodwin model: Stability, instability, cycles and chaos,” Journal of Economic Behavior and Organization, vol. 62(3), pp.441–469, 2007.
Cite This Article
  • APA Style

    Eiji Tsuzuki. (2015). Determinacy of Equilibrium in a New Keynesian Model with Monetary Policy Lag. International Journal of Economic Behavior and Organization, 3(2-1), 15-22. https://doi.org/10.11648/j.ijebo.s.2015030201.14

    Copy | Download

    ACS Style

    Eiji Tsuzuki. Determinacy of Equilibrium in a New Keynesian Model with Monetary Policy Lag. Int. J. Econ. Behav. Organ. 2015, 3(2-1), 15-22. doi: 10.11648/j.ijebo.s.2015030201.14

    Copy | Download

    AMA Style

    Eiji Tsuzuki. Determinacy of Equilibrium in a New Keynesian Model with Monetary Policy Lag. Int J Econ Behav Organ. 2015;3(2-1):15-22. doi: 10.11648/j.ijebo.s.2015030201.14

    Copy | Download

  • @article{10.11648/j.ijebo.s.2015030201.14,
      author = {Eiji Tsuzuki},
      title = {Determinacy of Equilibrium in a New Keynesian Model with Monetary Policy Lag},
      journal = {International Journal of Economic Behavior and Organization},
      volume = {3},
      number = {2-1},
      pages = {15-22},
      doi = {10.11648/j.ijebo.s.2015030201.14},
      url = {https://doi.org/10.11648/j.ijebo.s.2015030201.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijebo.s.2015030201.14},
      abstract = {We use the New Keynesian continuous-time framework to theoretically investigate the effects of a lag in a central bank’s response to economic fluctuations (i.e., monetary policy lag) on local equilibrium determinacy. In the case of a policy without lag, equilibrium is indeterminate even though a central bank’s policy response is sufficiently active. However, in the case of a policy with lag, an active monetary policy can contribute to local equilibrium determinacy if the lag is modest.},
     year = {2015}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Determinacy of Equilibrium in a New Keynesian Model with Monetary Policy Lag
    AU  - Eiji Tsuzuki
    Y1  - 2015/01/22
    PY  - 2015
    N1  - https://doi.org/10.11648/j.ijebo.s.2015030201.14
    DO  - 10.11648/j.ijebo.s.2015030201.14
    T2  - International Journal of Economic Behavior and Organization
    JF  - International Journal of Economic Behavior and Organization
    JO  - International Journal of Economic Behavior and Organization
    SP  - 15
    EP  - 22
    PB  - Science Publishing Group
    SN  - 2328-7616
    UR  - https://doi.org/10.11648/j.ijebo.s.2015030201.14
    AB  - We use the New Keynesian continuous-time framework to theoretically investigate the effects of a lag in a central bank’s response to economic fluctuations (i.e., monetary policy lag) on local equilibrium determinacy. In the case of a policy without lag, equilibrium is indeterminate even though a central bank’s policy response is sufficiently active. However, in the case of a policy with lag, an active monetary policy can contribute to local equilibrium determinacy if the lag is modest.
    VL  - 3
    IS  - 2-1
    ER  - 

    Copy | Download

Author Information
  • Faculty of Economics, Chiba Keizai University, Chiba, Japan

  • Sections