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Optimal Interest-Rate Rules: I. General Theory

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  • Marc P. Giannoni
  • Michael Woodford

Abstract

This paper proposes a general method for deriving an optimal monetary policy rule in the case of a dynamic linear rational-expectations model and a quadratic objective function for policy. A commitment to a rule of the type proposed results in a determinate equilibrium in which the responses to shocks are optimal. Furthermore, the optimality of the proposed policy rule is independent of the specification of the stochastic disturbances. Finally, the proposed rules can be justified from a timeless perspective,' so that commitment to such a rule need not imply time-inconsistent policy. We show that under fairly general condition, optimal policy can by represented by a generalized Taylor rule, in which however the relation between the interest-rate instrument and the other target variables is not purely contemporaneous, as in Taylor's specification. We also offer general conditions under which optimal policy can be represented by a 'super-inertial' interest-rate rule, and under which it can be represented by a pure 'targeting rule' that makes no explicit reference to the path of the instrument.

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Bibliographic Info

Paper provided by UCLA Department of Economics in its series Levine's Bibliography with number 506439000000000384.

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Date of creation: 14 Mar 2003
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Handle: RePEc:cla:levrem:506439000000000384

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  1. Andrew G. Haldane & Nicoletta Batini, 1998. "Forward-Looking Rules for Monetary Policy," NBER Working Papers 6543, National Bureau of Economic Research, Inc.
  2. Williams, John C. & Levin, Andrew T. & Wieland, Volker, 2001. "The performance of forecast-based monetary policy rules under model uncertainty," Working Paper Series, European Central Bank 0068, European Central Bank.
  3. Nicoletta Batini & Joe Pearlman, 2002. "Too Much Too Soon: Instability and Indeterminacy with Forward-Looking Rules," Computing in Economics and Finance 2002, Society for Computational Economics 182, Society for Computational Economics.
  4. Glenn D. Rudebusch & Lars E. O. Svensson, 1998. "Policy rules for inflation targeting," Working Papers in Applied Economic Theory 98-03, Federal Reserve Bank of San Francisco.
  5. Currie,David & Levine,Paul, 1993. "Rules, Reputation and Macroeconomic Policy Coordination," Cambridge Books, Cambridge University Press, Cambridge University Press, number 9780521441964.
  6. McCallum, Bennett T., 1999. "Issues in the design of monetary policy rules," Handbook of Macroeconomics, Elsevier, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 23, pages 1483-1530 Elsevier.
  7. Marc P. Giannoni, 2007. "Robust optimal monetary policy in a forward-looking model with parameter and shock uncertainty," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 22(1), pages 179-213.
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