Nonlinear Phillips Curves, Mixing Feedback Rules and the Distribution of Inflation and Output

31 Pages Posted: 23 Oct 2003

See all articles by Luisa Corrado

Luisa Corrado

University of Rome Tor Vergata Department of Economics and Finance

Sean Holly

University of Cambridge - Department of Applied Economics

Date Written: October 2003

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.

Keywords: Optimal Control, Feedback Rules, Nonlinear Models

JEL Classification: C30, E31, E61

Suggested Citation

Corrado, Luisa and Holly, Sean, Nonlinear Phillips Curves, Mixing Feedback Rules and the Distribution of Inflation and Output (October 2003). CEIS Tor Vergata - Research Paper Series No. 37. Available at SSRN: https://ssrn.com/abstract=459561 or http://dx.doi.org/10.2139/ssrn.459561

Luisa Corrado (Contact Author)

University of Rome Tor Vergata Department of Economics and Finance ( email )

Via Columbia n.2
Rome, rome 00100
Italy

Sean Holly

University of Cambridge - Department of Applied Economics ( email )

Sidgwick Avenue
Cambridge, CB3 9DE
United Kingdom
+44-1223-335251 (Phone)

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