To split or not to split: Capital allocation with convex risk measures

Tsanakas, A. (2007). To split or not to split: Capital allocation with convex risk measures (Report No. Actuarial Research Paper No. 184). London, UK: Faculty of Actuarial Science & Insurance, City University London.

[img]
Preview
PDF
Download (597kB) | Preview

Abstract

Convex risk measures were introduced by Deprez and Gerber (1985). Here the problem of allocating risk capital to subportfolios is addressed, when aggregate capital is calculated by a convex risk measure. The Aumann-Shapley value is proposed as an appropriate allocation mechanism. Distortion-exponential measures are discussed extensively and explicit capital allocation formulas are obtained for the case that the risk measure belongs to this family. Finally the implications of capital allocation with a convex risk measure for the stability of portfolios are discussed.

Item Type: Monograph (Working Paper)
Uncontrolled Keywords: Convex measures of risk, capital allocation, Aumann-Shapley value, inf-convolution
Subjects: H Social Sciences > HG Finance
Divisions: Cass Business School > Faculty of Actuarial Science & Insurance > Faculty of Actuarial Science & Insurance Actuarial Research Reports
URI: http://openaccess.city.ac.uk/id/eprint/2315

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics