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Monetary Policy Loss Functions: Two Cheers for the Quadratic

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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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Bibliographic Info

Paper provided by Faculty of Economics, University of Cambridge in its series Cambridge Working Papers in Economics with number 9920.

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Date of creation: Nov 1999
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Handle: RePEc:cam:camdae:9920

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Keywords: Loss functions; Uncertainty; Optimal monetary policy rules;

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  1. repec:cup:etheor:v:13:y:1997:i:6:p:808-17 is not listed on IDEAS
  2. Shiller, Robert J., 1999. "Human behavior and the efficiency of the financial system," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 20, pages 1305-1340 Elsevier.
  3. Deaton, Angus, 1992. "Understanding Consumption," OUP Catalogue, Oxford University Press, number 9780198288244.
  4. Christoffersen, Peter F. & Diebold, Francis X., 1997. "Optimal Prediction Under Asymmetric Loss," Econometric Theory, Cambridge University Press, vol. 13(06), pages 808-817, December.
  5. Horowitz, Ann R., 1987. "Loss functions and public policy," Journal of Macroeconomics, Elsevier, vol. 9(4), pages 489-504.
  6. 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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Cited by:
  1. Paolo Surico, 2002. "Inflation Targeting and Nonlinear Policy Rules: the Case of Asymmetric Preferences," Macroeconomics 0210002, EconWPA, revised 09 Dec 2003.
  2. Agenor, Pierre-Richard, 2000. "Monetary policy under flexible exchange rates - an introduction to inflation targeting," Policy Research Working Paper Series 2511, The World Bank.
  3. Juan de Dios Tena & A. R. Tremayne, 2006. "Modelling Monetary Transmission In Uk Manufacturing Industry," Statistics and Econometrics Working Papers ws062911, Universidad Carlos III, Departamento de Estadística y Econometría.
  4. 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.
  5. 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.
  6. Luisa Corrado & Sean Holly, 2003. "Nonlinear Phillips Curves, Mixing Feedback Rules and the Distribution of Inflation and Output," CEIS Research Paper 37, Tor Vergata University, CEIS.
  7. 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.
  8. 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.
  9. Feldkord, Eva-Ulrike, 2005. "On the relevance of monetary aggregates in monetary policy models," HWWA Discussion Papers 317, Hamburg Institute of International Economics (HWWA).
  10. 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.
  11. al-Nowaihi, Ali & Stracca, Livio, 2002. "Non-standard central bank loss functions, skewed risks, and certainty equivalence," Working Paper Series 0129, European Central Bank.
  12. 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.
  13. 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.
  14. 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.
  15. Xavier Debrun, 2000. "Fiscal Rules in a Monetary Union: A Short-Run Analysis," Open Economies Review, Springer, vol. 11(4), pages 323-358, October.
  16. 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.
  17. Simone Casellina & Mariacristina Uberti, 2008. "Optimal Monetary Policy and Long-term Interest Rate Dynamics: Taylor Rule Extensions," Computational Economics, Society for Computational Economics, vol. 32(1), pages 183-198, September.

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