International capital market equilibrium is characterized for a world economy in which consumption preferences are defined multiplicatively over many commodities. It is shown that the set of relative asset prices under pure exchange in international capital markets depends on the real purchasing power of nominal payoffs under uncertainty and does not depend on the currency in which the nominal payoffs are denominated. A Sharpe-Lintner type international capital asset pricing model is derived as a special case. Proportional ad valorem commodity taxes and transportation costs are incorporated in the valuation model, interest rate parity and purchasing power parity are reinterpreted under uncertainty, and international differences in borrowing and lending are shown to reflect, in part, differences in risk aversion across countries.

THE MEASUREMENT of economic inequality is a timely and important topic. Often the Gini index or the entire Lorenz curve is used; however, the relative mean deviation (or Pietra ratio) has been used by Schutz [9] and Budd [1] to study United States data. Eltet6 and Frigyes [2] developed new measures to aid in their analysis of Hungary's income distribution, and Kondor [6] has shown that these new indices are related to the relative mean deviation. In order to draw valid conclusions from actual samples, one needs to know the sampling distribution of the statistic used to estimate the measure of inequality. The purpose of the present paper is to adapt methods used by the author [3 and 4] in another context to obtain the large sample theory of the mean deviation, Pietra ratio, and the measures of Eltet6 and Frigyes. Since several of these measures estimate some parameters of the underlying income distribution function, the asymptotic theory of the estimators is more complicated than might appear at first glance.