Abstract Portfolio risk estimation requires appropriate modeling of fat-tails and asymmetries in dependence in combination with a true downside risk measure. In this survey, we discuss computational aspects of a Monte Carlo based framework for risk estimation and risk capital allocation. We...

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...

We consider a new approach towards stochastic dominance rules which allows measuring the degree of domination or violation of a given stochastic order and represents a way of describing stochastic orders in general. Examples are provided for the n-th order stochastic dominance and stochastic...