Encompassing the Forecasts of U.S. Trade Balance Models

Abstract
Chong and Hendry (1986) propose the concept of forecast encompassing--the lack of additional information in another model's forecasts. The corresponding test statistic is based on the regression of one model's forecast errors on the other model's forecasts. This paper generalizes Chong and Hendry's statistic to include sets of dynamic nonlinear models with uncertain estimated coefficients generating multi-step forecasts with possibly systematic biases. Using stochastic simulation, the generalized statistic is applied to forecasts over 1985Q1-1987Q4 from six models of the U.S. merchandise trade balance, revealing mis-specification in all models.

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