Feasibility of Portfolio Optimization under Coherent Risk Measures
Risk Management
2009-09-29 v3 Physics and Society
Abstract
It is shown that the axioms for coherent risk measures imply that whenever there is an asset in a portfolio that dominates the others in a given sample (which happens with finite probability even for large samples), then this portfolio cannot be optimized under any coherent measure on that sample, and the risk measure diverges to minus infinity. This instability was first discovered on the special example of Expected Shortfall which is used here both as an illustration and as a prompt for generalization.
Keywords
Cite
@article{arxiv.0803.2283,
title = {Feasibility of Portfolio Optimization under Coherent Risk Measures},
author = {Imre Kondor and Istvan Varga-Haszonits},
journal= {arXiv preprint arXiv:0803.2283},
year = {2009}
}
Comments
13 pages, 2 figures