  We provide four novel results for nonhomothetic Constant Elasticity of
Substitution preferences (Hanoch, 1975). First, we derive a closed-form
representation of the expenditure function of nonhomothetic CES under
relatively flexible distributional assumptions of demand and price distribution
parameters. Second, we characterize aggregate demand from heterogeneous
households in closed-form, assuming that household total expenditures follow an
empirically plausible distribution. Third, we leverage these results to study
the Euler equation arising from standard intertemporal consumption-saving
problems featuring within-period nonhomothetic CES preferences. Finally, we
show that nonhomothetic CES expenditure shares arise as the solution of a
discrete-choice logit problem.
