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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.nber.org/papers/w9419.pdf
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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 9419.

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Date of creation: Jan 2003
Date of revision:
Handle: RePEc:nbr:nberwo:9419
Note: EFG ME
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  1. Williams, John C. & Levin, Andrew T. & Wieland, Volker, 2001. "The performance of forecast-based monetary policy rules under model uncertainty," Working Paper Series 0068, European Central Bank.
  2. Glenn D. Rudebusch & Lars E. O. Svensson, 1998. "Policy Rules for Inflation Targeting," NBER Working Papers 6512, National Bureau of Economic Research, Inc.
  3. Nicoletta Batini & Joe Pearlman, 2002. "Too Much Too Soon: Instability and Indeterminacy with Forward-Looking Rules," Computing in Economics and Finance 2002 182, Society for Computational Economics.
  4. Andrew G. Haldane & Nicoletta Batini, 1998. "Forward-Looking Rules for Monetary Policy," NBER Working Papers 6543, National Bureau of Economic Research, Inc.
  5. 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.
  6. repec:cup:cbooks:9780521104609 is not listed on IDEAS
  7. repec:cup:cbooks:9780521441964 is not listed on IDEAS
  8. 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.
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