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A Note on Asset Proportions, Stochastic Dominance, and the 50% Rule

Ephraim Clark, Octave Jokung

Management Science · 1999 · Volume 45 · Issue 12

DOI: 10.1287/mnsc.45.12.1724

Abstract

In this note we analyze the composition of an optimal portfolio by considering the cumulative conditional expected outcome of two dependent assets. We develop a conditional stochastic dominance relation and show that for any concave von Neumann-Morgenstern utility function, the proportion of wealth invested in the dominant asset will be greater than 50%.

Keywords

stochastic dominance, conditional density function, optimal proportion, risk aversion, demand problem

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