Abstract

A left-skewed payoff distribution ascribes more probability to higher payoffs than a right-skewed distribution. The former is a desirable feature of payoff spreading if losses are strongly avoided. Therefore, investment policies leading to left-skewed payoff distributions are of interest to practical fund managers where the probability of loss needs be minimal (e.g., in pension funds). In this paper, features of stochastic optimal control processes, under which left-skewed payoff distributions can be obtained, are examined. In particular, the diffusion parameter that represents risky-asset price uncertainty is varied, and sensitivity of the payoff distribution due to this variation is studied. Interestingly, left-skewed payoff distributions can be obtained for relatively large values of the diffusion parameter.

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