The lack of a clear effect of increases in risk upon the demand for ri
sky assets has led to many restrictions on the types of risk increases
and/or on consumer preferences, in order to obtain unambiguous compar
ative statics. This paper examines the particularly simple, yet overlo
oked, case of white noise added to the return distribution. It is show
n that Kimball's standard risk aversion is sufficient for noise to lea
d to reduced demand for risky assets.