On optimal allocation of risk vectors

Swen Kiesel and Ludger Rüschendorf

Insurance: Mathematics and Economics, 2010, vol. 47, issue 2, 167-175

Abstract: In this paper we extend results on optimal risk allocations for portfolios of real risks w.r.t. convex risk functionals to portfolios of risk vectors. In particular we characterize optimal allocations minimizing the total risk as well as Pareto optimal allocations. Optimal risk allocations are shown to exhibit a worst case dependence structure w.r.t. some specific max-correlation risk measure and they are comonotone w.r.t. a common worst case scenario measure. We also derive a new existence criterion for optimal risk allocations and discuss some examples.

Keywords: Optimal; risk; allocations; Worst; case; portfolio; Comonotonicity (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:47:y:2010:i:2:p:167-175

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