A simple moment-ordering condition is shown to be necessary for stochastic dominance. Closely related results on generalizations of the geometric and harmonic means are also provided. An ordering of the moment-generating functions is shown to be necessary and sufficient for stochastic dominance. The results have a straightforward and useful interpretation in terms of constant relative and absolute risk aversion utility functions. These results are used to provide necessary and sufficient conditions for optimality of distributions on an important class of utility functions.

The purpose of this paper is to explain cross-sectional variations in trade credit terms across firms and industries. This study shows that there is a separating equilibrium in which the size of the cash discount conveys information about product quality. The driving forces of this equilibrium outcome are the risk-sharing motives of the producer and buyer as well as asymmetric information about product quality. The empirical implications of the model are derived and discussed in relation to industry practices.