In this paper we estimate oil and nonoil import demand functions for t
he United States under the assumption that import prices are uncertain
. Both import demand functions are formally derived from an expected u
tility maximization problem, treating imports as inputs to the technol
ogy. The model allows us to test for risk aversion and to assess the i
mpact of uncertainty on the volume of imports, gross output, and the d
istribution of income. We find that uncertainty leads to a reduction i
n welfare, imports, and gross output. Moreover, it hurts labor relativ
ely much more than capital. The Impact of uncertainty, however, is fou
nd to be quite small.