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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, it makes a lot of sense. This paper 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, stabilizing economic activity also stabilizes 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 stabilizing inflation and resource utilization, and also when ensuring a low probability of hitting the zero lower bound on interest rates.

Suggested Citation

  • Davide Debortoli & Jinill Kim & Jesper Lindé & Ricardo Nunes, 2017. "Designing a Simple Loss Function for Central Banks: Does a Dual Mandate Make Sense?," Working Papers 958, Barcelona School of Economics.
  • Handle: RePEc:bge:wpaper:958
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    8. Pierre-Richard Agénor & Timothy P. Jackson & Luiz Pereira da Silva, 2020. "Cross-Border Regulatory Spillovers and Macroprudential Policy Coordination," Working Papers 202028, University of Liverpool, Department of Economics.
    9. Oliver de Groot & Falk Mazelis & Roberto Motto & Annukka Ristiniemi, "undated". "A Toolkit for Computing Constrained Optimal Policy Projections (COPPs)," Working Papers 202112, University of Liverpool, Department of Economics.
    10. Kolasa, Marcin & Wesołowski, Grzegorz, 2023. "Quantitative easing in the US and financial cycles in emerging markets," Journal of Economic Dynamics and Control, Elsevier, vol. 149(C).
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    13. Lazopoulos, Ioannis & Gabriel, Vasco, 2019. "Policy mandates and institutional architecture," Journal of Banking & Finance, Elsevier, vol. 100(C), pages 122-134.
    14. Agénor, Pierre-Richard & Jia, Pengfei, 2020. "Capital controls and welfare with cross-border bank capital flows," Journal of Macroeconomics, Elsevier, vol. 65(C).
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    16. Agénor, Pierre-Richard & Jackson, Timothy & Jia, Pengfei, 2021. "Macroprudential policy coordination in a currency union," European Economic Review, Elsevier, vol. 137(C).
    17. Audzei, Volha & Brůha, Jan, 2022. "A model of the Euro area, China, and the United States: Trade links and trade wars," Economic Modelling, Elsevier, vol. 111(C).
    18. Lama, Ruy & Medina, Juan Pablo, 2020. "Mundell meets Poole: Managing capital flows with multiple instruments in emerging economies," Journal of International Money and Finance, Elsevier, vol. 109(C).
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    20. Riccardo Masolo, 2023. "Heterogeneity and the Equitable Rate of Interest," DISCE - Working Papers del Dipartimento di Economia e Finanza def128, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
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    More about this item

    Keywords

    Central banks’ objectives; simple loss function; monetary policy design; sticky prices and sticky wages; DSGE models;
    All these keywords.

    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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