In this paper, we propose a new family of multivariate loss functions that can be used to test the rationality of vector forecasts without assuming independence across individual variables. When only one variable is of interest, the loss function reduces to the flexible asymmetric family...

We jointly test the rationality of the Federal Reserve’s Greenbook forecasts of infiation, unemployment, and output growth using a multivariate nonseparable asymmetric loss function. We find that the forecasts are rationalizable and exhibit directional asymmetry. The degree of asymmetry...