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Nonlinear Phillips curves, mixing feedback rules and the distribution of inflation and output

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  • Corrado, Luisa
  • Holly, Sean

Abstract

Optimal 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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  • 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.
  • Handle: RePEc:eee:dyncon:v:28:y:2003:i:3:p:467-492
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    Cited by:

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    2. Marco Antonio Vega de la Cruz & Diego Winkelried Quezada, 2004. "El efecto arrastre de la inflación mundial en economías pequeñas y abiertas," Premio de Banca Central Rodrigo Gómez / Central Banking Award "Rodrigo Gómez", Centro de Estudios Monetarios Latinoamericanos, CEMLA, number prg2004, July-Dece.
    3. 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.
    4. 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.
    5. Xu, Qifa & Niu, Xufeng & Jiang, Cuixia & Huang, Xue, 2015. "The Phillips curve in the US: A nonlinear quantile regression approach," Economic Modelling, Elsevier, vol. 49(C), pages 186-197.
    6. Kevin S. Nell, 2006. "Structural Change And Nonlinearities In A Phillips Curve Model For South Africa," Contemporary Economic Policy, Western Economic Association International, vol. 24(4), pages 600-617, October.
    7. 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.
    8. Marco Antonio Vega de la Cruz & Diego Winkelried Quezada, 2004. "The Dragging Effect of World Inflation in Small Open Economies," Premio de Banca Central Rodrigo Gómez / Central Banking Award "Rodrigo Gómez", Centro de Estudios Monetarios Latinoamericanos, CEMLA, number prg2004eng, July-Dece.
    9. Nurudeen Abu, 2019. "Inflation and Unemployment Trade-off: A Re-examination of the Phillips Curve and its Stability in Nigeria," Contemporary Economics, University of Economics and Human Sciences in Warsaw., vol. 13(1), March.

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    JEL classification:

    • 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

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