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Utility Functions for Central Bankers - The Not So Drastic Quadratic

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Author Info
Chadha, J.S.
Schellekens, P.

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Abstract

Following Blinder's (1997) suggestion, we examine the implications for the optimal interest rate rule following the relaxation of the assumption that the policymaker's loss function is quadratic. We investigate deviations from quadratics for both symmetric and asymmetric preferences for a single target and find that: (i) other characterisations of risk aversion, than that implied by the quadratic, only affect dead-weight losses, unless there is also muliplicative uncertainty; (ii) asymmetries affect the optimal rule under both additive and muliplicative uncertainty but result in interest rate paths observationally similar, and in some cases equivalent, those implied by a shifted quadratic; (iii) the use of an asymmetric los functions leads to important insights on the issues of goal independence and monetary policy delegation; (iv) non-quadratic preferences, per se , are neither sufficient nor necessary to generate the 'Brainard conservatism principle' and thus do not offer much added value when analysing the policy issues of caution and gradualism. Our results suggest that in the context of monetary policymaking the convenient assumption of quadratic losses may not be that drastic after all.

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Paper provided by Economics Division, School of Social Sciences, University of Southampton in its series Discussion Paper Series In Economics And Econometrics with number 9818.

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Date of creation: 01 Jan 1998
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Handle: RePEc:stn:sotoec:9818

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  1. Petra Geraats, 2006. "Inflation and Its Variation: An Alternative Explanation," Center for International and Development Economics Research, Working Paper Series 1017, Center for International and Development Economics Research, Institute for Business and Economic Research, UC Berkeley. [Downloadable!]
    Other versions:
  2. Allan Timmermann & Graham Elliott & Ivana Komunjer, 2004. "Biases in Macroeconomic Forecasts: Irrationality or Asymmetric Loss?," Econometric Society 2004 North American Summer Meetings 601, Econometric Society. [Downloadable!]
    Other versions:
  3. Virginie Boinet & Christopher Martin, 2005. "Targets, Zones and Asymmetries:A Flexible Nonlinear Model of Recent UK Monetary Policy," Economics and Finance Discussion Papers 05-21, Economics and Finance Section, School of Social Sciences, Brunel University. [Downloadable!]
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