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Ordering policy rules with an unconditionalwelfare measure

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  • Tatiana Damjanovic
  • Vladislav Damjanovic
  • Charles Nolan

Abstract

The unconditional expectation of social welfare is often used to assess alternative macroeconomic policy rules in applied quantitative research. It is shown that it is generally possible to derive a linear-quadratic problem that approximates the exact non-linear problem where the unconditional expectation of the objective is maximised and the steady-state is distorted. Thus, the measure of policy performance is a linear combination of second moments of economic variables which is relatively easy to compute numerically, and can be used to rank alternative policy rules. The approach is applied to a simple Calvo-type model under various monetary policy rules.

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Bibliographic Info

Paper provided by Department of Economics, University of St. Andrews in its series Discussion Paper Series, Department of Economics with number 201102.

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Date of creation: 15 Feb 2011
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Handle: RePEc:san:wpecon:1102

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Keywords: Linear-quadratic approximation; unconditional expectations; optimal monetary policy; ranking simple policy rules.;

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  1. Aubhik Khan & Robert G. King & Alexander L. Wolman, 2002. "Optimal Monetary Policy," NBER Working Papers 9402, National Bureau of Economic Research, Inc.
  2. Levine, Paul & Pearlman, Joseph & Pierse, Richard, 2008. "Linear-quadratic approximation, external habit and targeting rules," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3315-3349, October.
  3. Debortoli, Davide & Nunes, Ricardo, 2006. "On Linear Quadratic Approximations," MPRA Paper 544, University Library of Munich, Germany, revised Jul 2006.
  4. Damjanovic, Tatiana & Damjanovic, Vladislav & Nolan, Charles, 2008. "Unconditionally optimal monetary policy," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 491-500, April.
  5. Ascari, Guido & Ropele, Tiziano, 2007. "Optimal monetary policy under low trend inflation," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2568-2583, November.
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  10. Christian Jensen & Bennett T. Mccallum, 2010. "Optimal Continuation versus the Timeless Perspective in Monetary Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(6), pages 1093-1107, 09.
  11. Clarida, Richard & Galí, Jordi & Gertler, Mark, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," CEPR Discussion Papers 2139, C.E.P.R. Discussion Papers.
  12. Julio J. Rotemberg & Michael Woodford, 1998. "An Optimization-Based Econometric Framework for the Evaluation of Monetary Policy: Expanded Version," NBER Technical Working Papers 0233, National Bureau of Economic Research, Inc.
  13. Christian Jensen & Bennett C. McCallum, 2002. "The Non-Optimality of Proposed Monetary Policy Rules Under Timeless-Perspective Commitment," NBER Working Papers 8882, National Bureau of Economic Research, Inc.
  14. Taylor, John B, 1979. "Estimation and Control of a Macroeconomic Model with Rational Expectations," Econometrica, Econometric Society, vol. 47(5), pages 1267-86, September.
  15. Pierpaolo Benigno & Michael Woodford, 2004. "Inflation Stabilization and Welfare: The Case of a Distorted Steady State," NBER Working Papers 10838, National Bureau of Economic Research, Inc.
  16. Pierpaolo Benigno & Michael Woodford, 2006. "Linear-quadratic approximation of optimal policy problems," Discussion Papers 0607-02, Columbia University, Department of Economics.
  17. Whiteman, Charles H, 1986. "An Analytical Policy Design under Rational Expectations," Econometrica, Econometric Society, vol. 54(6), pages 1387-1405, November.
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