Estimation of a nonlinear Taylor rule using real-time U.S. data

This paper extends the work in Orphanides (2003) by re-examining the empirical evidence for a Taylor rule in a nonlinear framework. In doing so, it updates the Greenbook dataset used by the afore men- tioned author to the most recent available period. A three-regime threshold regression model is utilized to capture the possibly asymmetric policy reaction function used by the U.S. Federal Reserve. The theoretical foundations for such an approach to monetary policy are discussed in Orphanides and Wilcox (2002). Our results indicate that the estimated Taylor rule for the U.S., based on real-time Greenbook data for the period 1982:3-2003:4, is probably nonlinear.Thresholds; Nonlinear Models; Taylor Rule; Real-Time Data

Instrumental variable estimation of a nonlinear Taylor rule

This paper studies nonlinear, threshold, models in which some of the regressors can be endogenous. An estimation strategy based on instrumental variables was originally developed for dynamic panel models and we extend it to time series models. We apply this methodology to a forward-looking Taylor rule where nonlinearity is introduced via inflation thresholds.Thresholds; Nonlinear Models; Instrumental Variables; Taylor Rule

Policy-Induced Mean Reversion in the Real Interest Rate?

This paper utilizes tests for a unit root that have power against nonlinear alternatives to provide empirical evidence on the time series properties of the ex-post real interest rate in the G7 countries. We find that the unit-root hypothesis can be rejected in the presence of a nonlinear alternative motivated by theoretical literature on optimal monetary policy rules. This represents a reversal of the results obtained using standard linear unit-root and cointegration tests. Tests for linearity reject this hypothesis for Canada, France, Germany, Italy, and the US. For these countries we estimate nonlinear models to capture the dynamics of the ex-post real interest rate.Fisher Effect; Unit Roots; Self-Exciting Threshold Autoregression

Evidence of nonlinear mean reversion in the real interest rate

This article utilizes tests for a unit root that have power against nonlinear alternatives to provide empirical evidence on the time series properties of the ex-post real interest rate in the G7 countries. We find that the unit root hypothesis can be rejected in the presence of a nonlinear alternative motivated by theoretical literature on optimal monetary policy rules. This represents a reversal of the results obtained using standard linear unit-root and cointegration tests. Tests for linearity reject this hypothesis for Canada, France, Italy and Japan for which we estimate nonlinear models capturing the dynamics of the interest rate. For these countries, ex-post real interest rates follow a nonlinear model characterized by mean reversion and provide statistical evidence for the Fisher effect.

Policy-Induced Mean Reversion in the Real Interest Rate?

This paper utilizes tests for a unit root that have power against nonlinear alternatives to provide empirical evidence on the time series properties of the ex-post real interest rate in the G7 countries. We find that the unit root hypothesis can be rejected in the presence of a nonlinear alternative motivated by theoretical literature on optimal monetary policy rules. This represents a reversal of the results obtained using standard linear unit root and cointegration tests. Tests for linearity reject this hypothesis for Canada, France, Italy and Japan for which we estimate nonlinear models capturing the dynamics of the interest rate.Fisher Effect; Unit Roots; Self-Exciting Threshold Autoregression