Set-valued average value at risk and its computation
AbstractNew 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.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1202.5702.
Date of creation: Feb 2012
Date of revision: Jan 2013
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