Nonlinear Phillips curves, mixing feedback rules and the distribution of inflation and output
AbstractOptimal nominal interest rate rules are usually set assuming that the underlying world is linear. In this paper we consider the performance of optimal rules when the underlying relationship between inflation and the output gap may be nonlinear. In particular if the inflation-output trade off exhibits nonlinearities this will impart a bias to inflation when a linear rule is used. By deriving some analytical results for the higher moments and in particular the skewness of the distribution of output and inflation, we show that the sign of the skewness of the distribution of inflation and output depends upon the nature of the nonlinearity. For the convex modified hyperbolic function used by Chadha et al. (1992) and Schaling (1999) inflation is positively and output negatively skewed. Whereas, if a concave-convex form is used the skewness of inflation and output is reversed. To correct this bias we propose a piecewise linear rule, which can be thought of as an approximation to the nonlinear rule of Schaling (1999). In order to evaluate the relevance of these results, we turn to some illustrative empirical results for the US and the UK. We show that this reduces the bias, but at the expense of an increase in the volatility of the nominal interest rate.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Dynamics and Control.
Volume (Year): 28 (2003)
Issue (Month): 3 (December)
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Other versions of this item:
- 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.
- C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
- E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
- E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Arturo Estrella & Jeffrey C. Fuhrer, 1999.
"Are "deep" parameters stable? the Lucas critique as an empirical hypothesis,"
99-4, Federal Reserve Bank of Boston.
- Jeff Fuhrer & Arturo Estrella, 1999. "Are 'Deep' Parameters Stable? The Lucas Critique as an Empirical Hypothesis," Computing in Economics and Finance 1999 621, Society for Computational Economics.
- Bianchi, Carlo & Calzolari, Giorgio & Corsi, Paolo, 1978. "A Program for Stochastic Simulation of Econometric Models," Econometrica, Econometric Society, vol. 46(1), pages 235-36, January.
- Fair Ray C, 2002.
"On Modeling the Effects of Inflation Shocks,"
The B.E. Journal of Macroeconomics,
De Gruyter, vol. 2(1), pages 1-21, April.
- McCallum, Bennett T., 1999.
"Issues in the design of monetary policy rules,"
Handbook of Macroeconomics,
in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 23, pages 1483-1530
- Jagjit Chadha & Philip Schellekens, 1999.
"Monetary policy loss functions: two cheers for the quadratic,"
Bank of England working papers
101, Bank of England.
- 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.
- Andrew J. Filardo, 1998. "New evidence on the output cost of fighting inflation," Economic Review, Federal Reserve Bank of Kansas City, issue Q III.
- Svensson, Lars E.O., 1997.
"Inflation Forecast Targeting: Implementing and Monitoring Inflation Targets,"
615, Stockholm University, Institute for International Economic Studies.
- Svensson, Lars E. O., 1997. "Inflation forecast targeting: Implementing and monitoring inflation targets," European Economic Review, Elsevier, vol. 41(6), pages 1111-1146, June.
- Lars E O Svensson, 1996. "Inflation Forecast Targeting: Implementing and Monitoring Inflation Targets," Bank of England working papers 56, Bank of England.
- Lars E. O. Svensson, 1996. "Inflation Forecast Targeting: Implementing and Monitoring Inflation Targets," NBER Working Papers 5797, National Bureau of Economic Research, Inc.
- Svensson, L-E-O, 1996. "Inflation Forecast Targeting : Implementaing and Monitoring Inflation Targets," Papers 615, Stockholm - International Economic Studies.
- Svensson, Lars E O, 1996. "Inflation Forecast Targeting: Implementing and Monitoring Inflation Targets," CEPR Discussion Papers 1511, C.E.P.R. Discussion Papers.
- Roberts, John M, 1995. "New Keynesian Economics and the Phillips Curve," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 975-84, November.
- Guy Debelle & Douglas Laxton, 1997.
"Is the Phillips Curve Really a Curve? Some Evidence for Canada, the United Kingdom, and the United States,"
IMF Staff Papers,
Palgrave Macmillan, vol. 44(2), pages 249-282, June.
- Douglas Laxton & Guy Debelle, 1996. "Is the Phillips Curve Really a Curve? Some Evidence for Canada, the United Kingdom, and the United States," IMF Working Papers 96/111, International Monetary Fund.
- Eric Schaling, 1999. "The non-linear Phillips curve and inflation forecast targeting," Bank of England working papers 98, Bank of England.
- Alvaro Escribano & Santiago Mira, 2001. "Nonlinear error correction models," Documentos de trabajo conjunto ULL-ULPGC 2001-03, Facultad de Ciencias Económicas de la ULPGC.
- Peter B. Clark & Douglas Laxton & David Rose, 1995. "Capacity Constraints, Inflation and the Transmission Mechanism," IMF Working Papers 95/75, International Monetary Fund.
- Joshua Aizenman & Ricardo Hausmann, 1994. "Why is Inflation Skewed? A Debt and Volatility Story," NBER Working Papers 4837, National Bureau of Economic Research, Inc.
- Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-91, June.
- Richard Clarida & Jordi Galí & Mark Gertler, 1997.
"The science of monetary policy: A new Keynesian perspective,"
Economics Working Papers
356, Department of Economics and Business, Universitat Pompeu Fabra, revised Apr 1999.
- Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
- Clarida, Richard & Galí, Jordi & Gertler, Mark, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," CEPR Discussion Papers 2139, C.E.P.R. Discussion Papers.
- Richard Clarida & Jordi Gali & Mark Gertler, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," NBER Working Papers 7147, National Bureau of Economic Research, Inc.
- Escribano, Alvaro & Pfann, Gerard A., 1998. "Non-linear error correction, asymmetric adjustment and cointegration," Economic Modelling, Elsevier, vol. 15(2), pages 197-216, April.
- Marvin Goodfriend & Robert G. King, 1998.
"The new neoclassical synthesis and the role of monetary policy,"
98-05, Federal Reserve Bank of Richmond.
- Marvin Goodfriend & Robert King, 1997. "The New Neoclassical Synthesis and the Role of Monetary Policy," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 231-296 National Bureau of Economic Research, Inc.
- Holly, S. & Zarrop, M. B., 1983. "On optimality and time consistency when expectations are rational," European Economic Review, Elsevier, vol. 20(1-3), pages 23-40, January.
- repec:ant:wpaper:1999002 is not listed on IDEAS
- Bean, Charles, 1998. "The New UK Monetary Arrangements: A View from the Literature," Economic Journal, Royal Economic Society, vol. 108(451), pages 1795-1809, November.
- Cook, Steven & Holly, Sean & Turner, Paul, 1999. "The power of tests for non-linearity: the case of Granger-Lee asymmetry," Economics Letters, Elsevier, vol. 62(2), pages 155-159, February.
- John B. Taylor, 1994. "The inflation/output variability trade-off revisited," Conference Series ; [Proceedings], Federal Reserve Bank of Boston, vol. 38, pages 21-24.
- Holly,Sean & Hughes Hallet,Andrew, 1989.
"Optimal Control, Expectations and Uncertainty,"
Cambridge University Press, number 9780521264440.
- Douglas Laxton & Guy Meredith & David Rose, 1994. "Asymmetric Effects of Economic Activityon Inflation," IMF Working Papers 94/139, International Monetary Fund.
- Guy Meredith & Bankim Chadha & Paul R. Masson, 1991.
"Models of Inflation and the Costs of Disinflation,"
IMF Working Papers
91/97, International Monetary Fund.
- Douglas Laxton & Guy Meredith & David Rose, 1995. "Asymmetric Effects of Economic Activity on Inflation: Evidence and Policy Implications," IMF Staff Papers, Palgrave Macmillan, vol. 42(2), pages 344-374, June.
- Granger, C W J & Lee, T H, 1989. "Investigation of Production, Sales and Inventory Relationships Using Multicointegration and Non-symmetric Error Correction Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 4(S), pages S145-59, Supplemen.
- Corrado Luisa & Holly Sean & Turner Paul, 2002. "Nonlinearities and Inactivity in Aggregate Investment: Some Theoretical Analysis and Time-Series Evidence," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 5(4), pages 1-21, January.
- Mojon, Benoît & Kashyap, Anil K. & Angeloni, Ignazio & Terlizzese, Daniele, 2002. "Monetary Transmission in the Euro Area : Where Do We Stand?," Working Paper Series 0114, European Central Bank.
- Mayes , David G. & Virén , Matti, 2004.
"Asymmetries in the Euro area economy,"
Research Discussion Papers
9/2004, Bank of Finland.
- Fabio Tramontana & Laura Gardini & Piero Ferri, 2010.
"The dynamics of the NAIRU model with two switching regimes,"
1004, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2010.
- Tramontana, F. & Gardini, L. & Ferri, P., 2010. "The dynamics of the NAIRU model with two switching regimes," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 681-695, April.
- Huh, Hyeon-seung & Jang, Inwon, 2007. "Nonlinear Phillips curve, sacrifice ratio, and the natural rate of unemployment," Economic Modelling, Elsevier, vol. 24(5), pages 797-813, September.
- 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.
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