When estimates of variances are used to make asset allocation decision
s, underestimates of population variances lead to lower expected utili
ty than equivalent overestimates: a utility-based criterion is asymmet
ric, unlike standard criteria such as mean squared error. To illustrat
e how to estimate a utility-based criterion, we use five bilateral wee
kly dollar exchange rates, 1973-1989, and the corresponding pair of Eu
rodeposit rates. Of homoskedastic, GARCH, autoregressive and non-param
etric models for the conditional variance of each exchange rate, GARCH
models tend to produce the highest utility, on average. A mean square
d error criterion also favors GARCH, but not as sharply.