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Monetary Policy Loss Functions: Two Cheers for the Quadratic

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Abstract

The authors examine the implications for the optimal interest rate rule that follow from relaxing the assumption that the policy-maker's loss function is quadratic. They investigate deviations from quadratics for both symmetric and asymmetric preferences for a single target and find that (i) other characterisations of risk aversion than implied by the quadratic only affect dead-weight losses, unless there is multiplicative uncertainty; and (ii) asymmetries affect the optimal rule under both additive and multiplicative uncertainty but result in interest rate paths observationally similar, and in some cases equivalent, to those implied by a shifted quadratic. The results suggest that in the context of monetary policy-making the convenient assumption of quadratic losses may not be that drastic after all.

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  • Schellekens, P. & Chadha, J.S., 1999. "Monetary Policy Loss Functions: Two Cheers for the Quadratic," Cambridge Working Papers in Economics 9920, Faculty of Economics, University of Cambridge.
  • Handle: RePEc:cam:camdae:9920
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    1. Horowitz, Ann R., 1987. "Loss functions and public policy," Journal of Macroeconomics, Elsevier, vol. 9(4), pages 489-504.
    2. Deaton, Angus, 1992. "Understanding Consumption," OUP Catalogue, Oxford University Press, number 9780198288244.
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    5. James Tobin, 1989. "On the Theory of Macroeconomic Policy," Cowles Foundation Discussion Papers 931, Cowles Foundation for Research in Economics, Yale University.
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    7. repec:cup:etheor:v:13:y:1997:i:6:p:808-17 is not listed on IDEAS
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    Cited by:

    1. Paolo Surico, 2002. "Inflation Targeting and Nonlinear Policy Rules: the Case of Asymmetric Preferences," Macroeconomics 0210002, EconWPA, revised 23 Feb 2004.
    2. Özer Karagedikli & Kirdan Lees, 2004. "Do inflation targeting central banks behave asymmetrically? Evidence from Australia and New Zealand," Reserve Bank of New Zealand Discussion Paper Series DP 2004/02, Reserve Bank of New Zealand.
    3. Osama D. Sweidan, 2009. "Asymmetric central bank's preference and inflation rate in Jordan," Studies in Economics and Finance, Emerald Group Publishing, vol. 26(4), pages 232-245, October.
    4. al-Nowaihi, Ali & Stracca, Livio, 2002. "Non-standard central bank loss functions, skewed risks, and certainty equivalence," Working Paper Series 0129, European Central Bank.
    5. Ajax R. B. Moreira & Marco A. F. H. Cavalcanti, 2015. "Robustness and Stabilization Properties of Monetary Policy Rules in Brazil," Discussion Papers 0100, Instituto de Pesquisa Econômica Aplicada - IPEA.
    6. Simone Casellina & Mariacristina Uberti, 2008. "Optimal Monetary Policy and Long-term Interest Rate Dynamics: Taylor Rule Extensions," Computational Economics, Springer;Society for Computational Economics, vol. 32(1), pages 183-198, September.
    7. Surico, Paolo, 2003. "US Monetary Policy Rules: the Case for Asymmetric Preferences," Royal Economic Society Annual Conference 2003 199, Royal Economic Society.
    8. Tomasz Michalak & Jacob Engwerda & Joseph Plasmans, 2009. "Strategic Interactions between Fiscal and Monetary Authorities in a Multi-Country New-Keynesian Model of a Monetary Union," CESifo Working Paper Series 2534, CESifo Group Munich.
    9. Corrado, Luisa & Holly, Sean, 2003. "Nonlinear Phillips curves, mixing feedback rules and the distribution of inflation and output," Journal of Economic Dynamics and Control, Elsevier, vol. 28(3), pages 467-492, December.
    10. Tena, Juan de Dios & Tremayne, A.R., 2009. "Modelling monetary transmission in UK manufacturing industry," Economic Modelling, Elsevier, vol. 26(5), pages 1053-1066, September.
    11. Corrado, L. & Holly, S., 2000. "Piecewise Linear Feedback Rules in a Non Linear Model of the Phillips Curve: Evidence from the US and the UK," Cambridge Working Papers in Economics 0019, Faculty of Economics, University of Cambridge.
    12. Pierre-Richard Agénor, 2002. "Monetary Policy under Flexible Exchange Rates: An Introduction to Inflation Targeting," Central Banking, Analysis, and Economic Policies Book Series,in: Norman Loayza & Raimundo Soto & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series Editor) (ed.), Inflation Targeting: Desing, Performance, Challenges, edition 1, volume 5, chapter 3, pages 079-170 Central Bank of Chile.
    13. Hyeon-seung Huh & Hyun Lee & Namkyung Lee, 2009. "Nonlinear Phillips curve, NAIRU and monetary policy rules," Empirical Economics, Springer, vol. 37(1), pages 131-151, September.
    14. Paolo Surico, 2004. "Inflation Targeting and Nonlinear Policy Rules: The Case of Asymmetric Preferences (new title: The Fed's monetary policy rule and U.S. inflation: The case of asymmetric preferences)," CESifo Working Paper Series 1280, CESifo Group Munich.
    15. Surico, Paolo, 2007. "The Fed's monetary policy rule and U.S. inflation: The case of asymmetric preferences," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 305-324, January.
    16. Mirco Soffritti & Francesco Zanetti, 2008. "The advantage of tying one's hands: revisited," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 13(2), pages 135-149.
    17. Xavier Debrun, 2000. "Fiscal Rules in a Monetary Union: A Short-Run Analysis," Open Economies Review, Springer, vol. 11(4), pages 323-358, October.
    18. Feldkord, Eva-Ulrike, 2005. "On the relevance of monetary aggregates in monetary policy models," HWWA Discussion Papers 317, Hamburg Institute of International Economics (HWWA).
    19. Mayer, Eric, 2003. "The mechanics of a reasonably fitted quarterly New Keynesian macro model," W.E.P. - Würzburg Economic Papers 41, University of Würzburg, Chair for Monetary Policy and International Economics.
    20. Simon Hall & Chris Salmon & Tony Yates & Nicoletta Batini, 1999. "Uncertainty and Simple Monetary Policy Rules - An illustration for the United Kingdom," Bank of England working papers 96, Bank of England.

    More about this item

    Keywords

    Loss functions; Uncertainty; Optimal monetary policy rules;

    JEL classification:

    • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Sytsems; Standards; Regimes; Government and the Monetary System
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • 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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