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Optimal Interest-Rate Rules: I. General Theory

  • Marc P. Giannoni
  • Michael Woodford

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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File URL: http://www.princeton.edu/~woodford/NBER-IRRules1.pdf
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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. Levin, Andrew & Wieland, Volker & Williams, John C., 2003. "The performance of forecast-based monetary policy rules under model uncertainty," CFS Working Paper Series 2003/06, Center for Financial Studies (CFS).
  2. Rudebusch, G.D. & Svensson, L.E.O., 1998. "Policy Rules for Inflation Targeting," Papers 637, Stockholm - International Economic Studies.
  3. repec:cup:cbooks:9780521441964 is not listed on IDEAS
  4. Andrew G. Haldane & Nicoletta Batini, 1998. "Forward-Looking Rules for Monetary Policy," NBER Working Papers 6543, National Bureau of Economic Research, Inc.
  5. Nicoletta Batini & Joseph Pearlman, 2002. "Too Much Too Soon: Instability and Indeterminacy with Forward-Looking Rules," Discussion Papers 08, Monetary Policy Committee Unit, Bank of England.
  6. McCallum, Bennett T., 1999. "Issues in the design of monetary policy rules," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 23, pages 1483-1530 Elsevier.
  7. repec:cup:cbooks:9780521104609 is not listed on IDEAS
  8. 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., vol. 22(1), pages 179-213.
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