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Optimal Monetary Policy under Learning in a New Keynesian Model with Cost Channel and Inflation Inertia

Author Info

  • Bask, Mikael

    ()

    (Department of Economics)

  • Proaño, Christian R

    (Department of Economics)

Abstract

We show that a so-called expectations-based optimal monetary policy rule has desirable properties in a standard New Keynesian model augmented with a cost channel and inflation rate expectations that are partly backward-looking. In particular, optimal monetary policy under commitment is associated with a determinate rational expectations equilibrium that is stable under least squares learning for all parameter constellations considered, whereas, under discretion in policy-making, the central bank has to be sufficiently inflation rate averse for the rational expectations equilibrium to have the same properties.

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Paper provided by Uppsala University, Department of Economics in its series Working Paper Series with number 2012:7.

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Length: 25 pages
Date of creation: 29 Feb 2012
Date of revision:
Handle: RePEc:hhs:uunewp:2012_007
Contact details of provider: Postal: Department of Economics, Uppsala University, P. O. Box 513, SE-751 20 Uppsala, Sweden
Phone: + 46 18 471 25 00
Fax: + 46 18 471 14 78
Web page: http://www.nek.uu.se/Email:


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Keywords: Commitment; Cost Channel; Determinacy; Discretion; Inflation Inertia; Least Squares Learning; Optimal Monetary Policy;

Find related papers by JEL classification:

  • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
  • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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  1. George W. Evans & Seppo Honkapohja, 2003. "Expectations and the Stability Problem for Optimal Monetary Policies," Review of Economic Studies, Oxford University Press, vol. 70(4), pages 807-824.
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  7. James B. Bullard, 2006. "The learnability criterion and monetary policy," Review, Federal Reserve Bank of St. Louis, issue May, pages 203-217.
  8. George W. Evans & Seppo Honkapohja, 2002. "Monetary Policy, Expectations and Commitment," University of Oregon Economics Department Working Papers 2002-11, University of Oregon Economics Department, revised 01 Feb 2004.
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  12. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1.
  13. Stephan Sauer, 2010. "Discretion Rather Than Rules? When Is Discretionary Policymaking Better Than the Timeless Perspective?," International Journal of Central Banking, International Journal of Central Banking, vol. 6(2), pages 1-29, June.
  14. Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August.
  15. Llosa, Luis-Gonzalo & Tuesta, Vicente, 2009. "Learning about monetary policy rules when the cost-channel matters," Journal of Economic Dynamics and Control, Elsevier, vol. 33(11), pages 1880-1896, November.
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  17. James Bullard & Kaushik Mitra, 2007. "Determinacy, Learnability, and Monetary Policy Inertia," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(5), pages 1177-1212, 08.
  18. Chowdhury, Ibrahim & Hoffmann, Mathias & Schabert, Andreas, 2006. "Inflation dynamics and the cost channel of monetary transmission," European Economic Review, Elsevier, vol. 50(4), pages 995-1016, May.
  19. 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.
  20. Ravenna, Federico & Walsh, Carl E., 2006. "Optimal monetary policy with the cost channel," Journal of Monetary Economics, Elsevier, vol. 53(2), pages 199-216, March.
  21. Bennett T. McCallum, 2006. "E-Stability vis-a-vis Determinacy Results for a Broad Class of Linear Rational Expectations Models," NBER Working Papers 12441, National Bureau of Economic Research, Inc.
  22. Surico, Paolo, 2008. "The Cost Channel Of Monetary Policy And Indeterminacy," Macroeconomic Dynamics, Cambridge University Press, vol. 12(05), pages 724-735, November.
  23. Filippo Altissimo & Michael Ehrmann & Frank Smets, 2006. "Inflation persistence and price-setting behaviour in the euro area – a summary of the IPN evidence," Occasional Paper Series 46, European Central Bank.
  24. Bruckner, Matthias & Schabert, Andreas, 2003. "Supply-side effects of monetary policy and equilibrium multiplicity," Economics Letters, Elsevier, vol. 79(2), pages 205-211, May.
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