We introduce functionals with metric properties defined on classes of investors allowing inference about relations between prospects. In this context, we introduce the class of investors with balanced views. Our approach is consistent with Cumulative Prospect Theory.

In the paper, we generalize the classical benchmark tracking problem by introducing the class of relative deviation metrics. We introduce an axiomatic description of the benchmark tracking problem and a classification inspired by the theory of probability metrics. Two examples of such metrics...

The sensitivity of a risk measure with respect to the parameters of the hypothesized distribution is a useful tool in investigating the impact of marginal rebalancing decisions on the portfolio return distribution and also in the analysis of the asymptotic variability of the risk estimator. We...