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Living on the edge: how risky is it to operate at the limit of the tolerated risk?

José Rodríguez-Mancilla ()

Annals of Operations Research, 2010, vol. 177, issue 1, 45 pages

Abstract: This paper studies some of the implicit risks associated with strategies followed by a risk averse investor who maximizes the expected value of his final wealth, subject to a risk tolerance constraint characterized in terms of a convex risk measure such as Conditional Value-at-Risk. Embedded probability measures are uncovered using duality theory; these are used to assess the probability of surpassing a standard Value-at-Risk threshold. Using one of these embedded probabilities, a closed-form measure of the financial cost of hedging the loss exposure associated to the optimal strategies is derived and shown to be, under certain assumptions, a coherent measure of risk. Copyright Springer Science+Business Media, LLC 2010

Date: 2010
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DOI: 10.1007/s10479-009-0604-6

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