We first demonstrate the simultaneous need for both more general GARCH stru
ctures and non-normal innovation distributions for modelling the returns on
certain return series such as the highly volatile exchange rates on East A
sian currencies against the US dollar. This is accomplished not only via in
-sample goodness-of-fit criteria, but also in terms of the precision of Val
ue-at-Risk calculations made on out-of-sample density predictions. Second,
a forecasting strategy using weighted maximum likelihood estimation is prop
osed. We show that it gives rise to considerably improved forecast performa
nce over longer horizons. Copyright (C) 2000 John Wiley & Sons, Ltd.