We compare the out-of-sample forecasting performance of univariate hom
oskedastic, GARCH autoregressive, and nonparametric models for conditi
onal variances, using five bilateral weekly exchange rates for the dol
lar, 1973-1989. For a one-week horizon, GARCH models tend to make slig
htly more accurate forecasts. For longer horizons, it is difficult to
find grounds for choosing between the various models. None of the mode
ls perform well in a conventional test of forecast efficiency.