Determinacy, Learnability, and Plausibility in Monetary Policy Analysis: Additional Results
In a very broad class of dynamic linear models, if agents possess knowledge of current endogenous variables in a least-squares learning process, determinacy of a rational expectations (RE) equilibrium is sufficient but not necessary for learnability of that equilibrium. Thus, since learnability is an attractive necessary condition for plausibility of any equilibrium, there may exist a single plausible RE solution even in cases of indeterminacy. This paper proposes and outlines a distinct criterion that plausible models should possess, termed "well formulated" (WF), which rules out infinite discontinuities in the implied impulse response functions. The paper explores the relationship between this WF property and learnability, under the information assumption mentioned above, and finds that they often agree but neither strictly implies the other. Extending the P-matrix requirement, implied for specified matrices by the WF property, to one that demands positive dominant-diagonal matrices would guarantee both WF and learnability, but a suitable rationale has not been found. Finally, under a second information assumption, which gives the agents only lagged information on endogenous variables during the learning process, the situation is less favorable in the sense that learnability can be guaranteed only under special assumptions.
|Date of creation:||Jul 2008|
|Date of revision:|
|Publication status:||published as Bennett T. McCallum, 2009. "Determinacy, Learnability, and Plausibility in Monetary Policy Analysis: Additional Results," Central Banking, Analysis, and Economic Policies Book Series, in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.), Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 7, pages 203-225 Central Bank of Chile.|
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- Sims, Christopher A, 1994. "A Simple Model for Study of the Determination of the Price Level and the Interaction of Monetary and Fiscal Policy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(3), pages 381-99.
- Bullard, James & Mitra, Kaushik, 2002.
"Learning about monetary policy rules,"
Journal of Monetary Economics,
Elsevier, vol. 49(6), pages 1105-1129, September.
- 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.
- Michael Woodford, 1994. "Nonstandard Indicators for Monetary Policy: Can Their Usefulness Be Judged from Forecasting Regressions?," NBER Chapters, in: Monetary Policy, pages 95-115 National Bureau of Economic Research, Inc.
- Carlstrom, Charles T. & Fuerst, Timothy S., 2005.
"Investment and interest rate policy: a discrete time analysis,"
Journal of Economic Theory,
Elsevier, vol. 123(1), pages 4-20, July.
- Charles T. Carlstrom & Timothy S. Fuerst, 2003. "Investment and interest rate policy: a discrete time analysis," Working Paper 0320, Federal Reserve Bank of Cleveland.
- King, Robert G & Watson, Mark W, 1998. "The Solution of Singular Linear Difference Systems under Rational Expectations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1015-26, November.
- Carl E. Walsh, 2003. "Monetary Theory and Policy, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232316, December.
- Ben S. Bernanke & Michael Woodford, 1997.
"Inflation forecasts and monetary policy,"
Federal Reserve Bank of Cleveland, pages 653-686.
- Binder,M. & Pesaran,H.M., 1995.
"Multivariate Rational Expectations Models and Macroeconomic Modelling: A Review and Some New Results,"
Cambridge Working Papers in Economics
9415, Faculty of Economics, University of Cambridge.
- Michael Binder & M. Hashem Pesaran, 1994. "GAUSS and Matlab codes for Multivariate Rational Expectations Models and Macroeconometric Modelling: A Review and Some New Results," QM&RBC Codes 74, Quantitative Macroeconomics & Real Business Cycles.
- Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001.
"The Perils of Taylor Rules,"
Journal of Economic Theory,
Elsevier, vol. 96(1-2), pages 40-69, January.
- Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 1998. "The perils of Taylor Rules," Departmental Working Papers 199831, Rutgers University, Department of Economics.
- Benhabib, Jess & Schmitt-Grohé, Stephanie & Uribe, Martín, 1999. "The Perils of Taylor Rules," CEPR Discussion Papers 2314, C.E.P.R. Discussion Papers.
- Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 1998. "The Perils of Taylor Rules," Working Papers 98-37, C.V. Starr Center for Applied Economics, New York University.
- Bennett T. McCallum, 1981.
"On Non-Uniqueness in Rational Expectations Models: An Attempt at Perspective,"
NBER Working Papers
0684, National Bureau of Economic Research, Inc.
- McCallum, Bennett T., 1983. "On non-uniqueness in rational expectations models : An attempt at perspective," Journal of Monetary Economics, Elsevier, vol. 11(2), pages 139-168.
- 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., 1986. "Selection criteria for models with non-uniqueness," Journal of Monetary Economics, Elsevier, vol. 18(2), pages 147-157, September.
- Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
- Robert G. King, 2000. "The new IS-LM model : language, logic, and limits," Economic Quarterly, Federal Reserve Bank of Richmond, issue Sum, pages 45-103.
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