Central banks and other forecasters have become increasingly interested in various aspects of density forecasts. However, recent sharp changes in macroeconomic volatility such as the Great Moderation and the more recent sharp rise in volatility associated with greater variation in energy prices...

This paper develops bootstrap methods for testing whether, in a finite sample, competing out-of-sample forecasts from nested models are equally accurate. Most prior work on forecast tests for nested models has focused on a null hypothesis of equal accuracy in population basically, whether...

This paper presents analytical, Monte Carlo, and empirical evidence linking in-sample tests of predictive content and out-of-sample forecast accuracy. Our approach focuses on the negative effect that finite-sample estimation error has on forecast accuracy despite the presence of significant...

We consider using out of sample mean squared prediction errors (MSPEs) to evaluate the null that a given series follows a zero mean martingale difference against the alternative that it is linearly predictable. Under the null of zero predictability, the population MSPE of the null “no...

This paper reexamines whether producer prices help predict consumer prices, focusing on model stability and the forecasting performance of time-varying parameter models. In bivariate models, producer price inflation consistently Granger-causes consumer price inflation in-sample but fails to...

This paper uses Monte Carlo experiments to examine the small-sample properties of some commonly used tests of equal forecast accuracy. The study pays particular attention to test power, evaluated using both asymptotic and empirical critical values. In addition to evaluating different tests, this...

This paper uses a detailed literature review and an empirical analysis of three models to assess the links among inflation and survey measures of long- and short-term expectations. In the first approach, we jointly estimate a model of inflation, survey expectations and monetary policy, where...

This paper sifts through potential explanations for the weakness of the existing out-of-sample evidence on the Phillips curve relative to the in-sample evidence, focusing on models relating inflation to the output gap. The out-of-sample evidence could be weaker because, even when the models are...

This paper presents analytical, Monte Carlo, and empirical evidence on the effectiveness of combining recursive and rolling forecasts when linear predictive models are subject to structural change. We first provide a characterization of the bias-variance tradeoff faced when choosing between...