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Designing a Simple Loss Function for Central Banks: Does a Dual Mandate Make Sense?

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  • Davide Debortoli
  • Jinill Kim
  • Jesper Lindé
  • Ricardo Nunes

Abstract

Yes, a dual mandate makes a lot of sense. This article studies how to design simple loss functions for central banks, as parsimonious approximations to social welfare. We show, both analytically and quantitatively, that simple loss functions should feature a high weight on measures of economic activity, sometimes even larger than the weight on inflation. Two main factors drive our result. First, stabilising economic activity also stabilises other welfare-relevant variables. Second, the estimated model features mitigated inflation distortions due to a low elasticity of substitution between monopolistic goods and a low interest rate sensitivity of demand. The result holds up in the presence of measurement errors, with large shocks that generate a trade-off between stabilising inflation and resource utilisation, and also when imposing a moderate degree of interest rate volatility.

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  • Davide Debortoli & Jinill Kim & Jesper Lindé & Ricardo Nunes, 2019. "Designing a Simple Loss Function for Central Banks: Does a Dual Mandate Make Sense?," The Economic Journal, Royal Economic Society, vol. 129(621), pages 2010-2038.
  • Handle: RePEc:oup:econjl:v:129:y:2019:i:621:p:2010-2038.
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    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination

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