Set-valued average value at risk and its computation
Risk Management
2014-05-22 v2 Computational Finance
Abstract
New versions of the set-valued average value at risk for multivariate risks are introduced by generalizing the well-known certainty equivalent representation to the set-valued case. The first "regulator" version is independent from any market model whereas the second version, called the market extension, takes trading opportunities into account. Essential properties of both versions are proven and an algorithmic approach is provided which admits to compute the values of both version over finite probability spaces. Several examples illustrate various features of the theoretical constructions.
Cite
@article{arxiv.1202.5702,
title = {Set-valued average value at risk and its computation},
author = {Andreas H. Hamel and Birgit Rudloff and Mihaela Yankova},
journal= {arXiv preprint arXiv:1202.5702},
year = {2014}
}
Comments
16 pages