In this paper, we derive upper and lower bounds on the Range Value-at-Risk of the portfolio loss when we only know its mean and variance, and its feature of unimodality. In a first step, we use some classic results on stochastic ordering to reduce this optimization problem to a parametric one,...

This paper shows optimal asset allocation during these two phases must be different.

Purpose of this paper: we study the asset allocation problem for a pension fund which maximizes the expected present value of its wealth augmented by the prospective mathematical reserve at the death time of a representative member. Design/methodology/approach: we apply the stochastic...

We introduce and analyze a novel collective defined contribution plan (CDC) which guarantees upon retirement at least a target benefit as a lump sum. The guarantee is provided by the remaining working generations under a pre-determined linear intergenerational risk sharing (IRS) rule.Through a...