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Working Paper
Two practical algorithms for solving rational expectations models
This paper describes the E-Newton and E-QNewton algorithms for solving rational expectations (RE) models. Both algorithms treat a model's RE terms as exogenous variables whose values are iteratively updated until they (hopefully) satisfy the RE requirement. In E-Newton, the updates are based on Newton's method; E-QNewton uses an efficient form of Broyden's quasi-Newton method. The paper shows that the algorithms are reliable, fast enough for practical use on a mid-range PC, and simple enough that their implementation does not require highly specialized software. The evaluation of the ...
Working Paper
A guide to FRB/US: a macroeconomic model of the United States
FRB/US is a large-scale quarterly econometric model of the U.S. economy, developed to replace the MPS model. Most behavioral equations are based on specifications of optimizing behavior containing explicit expectations of firms, households, and financial markets. Although expectations are explicit, the empirical fits of the structural descriptions of macroeconomic behavior are comparable to those of reduced-form time series models. In most instances, tests do not reject overidentifying restrictions of rational expectations or the hypothesis of serially independent residuals. As modeled, ...
Working Paper
Interest rate policies for price stability
Working Paper
What's happened to the Phillips curve?
The simultaneous occurrence in the second half of the 1990s of low and falling price inflation and low unemployment appears to be at odds with the properties of a standard Phillips curve. We find this result in a model in which inflation depends on the unemployment rate, past inflation, and conventional measures of price supply shocks. We show that, in such a model, long lags of past inflation are preferred to short lags, and that with long lags, the NAIRU is estimated precisely but is unstable in the 1990s. Two alternative modifications to the standard Phillips curve restore stability. One ...