Optimal Monetary Policy When Agents Are Learning
Most studies of optimal monetary policy under learning rely on optimality conditions derived for the case when agents have rational expectations. In this paper, we derive optimal monetary policy in an economy where the Central Bank knows, and makes active use of, the learning algorithm agents follow in forming their expectations. In this setup, monetary policy can influence future expectations through its effect on learning dynamics, introducing an additional trade-off between inflation and output gap stabilization. Specifically, the optimal interest rate rule reacts more aggressively to out of equilibrium inflation expectations and noisy cost-push shocks than would be optimal under rational expectations: the Central Bank exploits its ability to “drive” future inflation expectations closer to equilibrium. This optimal policy qualitatively resembles optimal policy when the Central Bank can commit and agents have rational expectations. Moreover, when beliefs are updated according to recursive least squares, the optimal policy is time-varying: after a structural break the Central Bank should be more aggressive and relax the degree of aggressiveness in subsequent periods. The policy recommendation is robust: under our policy the welfare loss if the private sector actually has rational expectations is much smaller than if the Central Bank mistakenly assumes rational expectations whereas in fact agents are learning.
|Date of creation:||2008|
|Date of revision:|
|Contact details of provider:|| Postal: Society for Economic Dynamics Marina Azzimonti Department of Economics Stonybrook University 10 Nicolls Road Stonybrook NY 11790 USA|
Web page: http://www.EconomicDynamics.org/society.htm
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- Robert J. Barro & David B. Gordon, 1981.
"A Positive Theory of Monetary Policy in a Natural-Rate Model,"
NBER Working Papers
0807, National Bureau of Economic Research, Inc.
- Barro, Robert J & Gordon, David B, 1983. "A Positive Theory of Monetary Policy in a Natural Rate Model," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 589-610, August.
- 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.
- Evans, George W & Ramey, Garey, 2001.
"Adaptive Expectations, Underparameterization and the Lucas Critique,"
University of California at San Diego, Economics Working Paper Series
qt41f2h196, Department of Economics, UC San Diego.
- Evans, George W. & Ramey, Garey, 2006. "Adaptive expectations, underparameterization and the Lucas critique," Journal of Monetary Economics, Elsevier, vol. 53(2), pages 249-264, March.
- George W. Evans & Garey Ramey, 2001. ""Adaptive Expectations, Underparameterization and the Lucas Critique," University of Oregon Economics Department Working Papers 2001-8, University of Oregon Economics Department, revised 01 Dec 2004.
- Julio J. Rotemberg & Michael Woodford, 1998.
"Interest-Rate Rules in an Estimated Sticky Price Model,"
NBER Working Papers
6618, National Bureau of Economic Research, Inc.
- Julio J. Rotemberg & Michael Woodford, 1999. "Interest Rate Rules in an Estimated Sticky Price Model," NBER Chapters, in: Monetary Policy Rules, pages 57-126 National Bureau of Economic Research, Inc.
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