We introduce the notion of a convex measure of risk, an extension of the concept of a coherent risk measure defined in … the underlying space of scenarios. As a case study, we consider convex measures of risk defined in terms of a robust not … ion of bounded shortfall risk. In the context of a financial market model, it turns out that the representation theorem is …

This paper presents a general theory that works out the relation between coherent risk measures, valuation bounds, and … theory presented seems to fill a gap between arbitrage valuation on the one hand and single agent utility maximization or … full-fledged equilibrium theory on the other hand. "Coherent" valuation bounds strike a balance in that the bounds can be …

parameter is sufficiently small. -- option pricing ; hedging ; transaction costs ; locally risk-minimizing strategies ; mean … incomplete market in discrete time. Under the assumptions of a bounded mean-variance tradeoff, substantial risk and a … nondegeneracy condition on the conditional variances of asset returns, we prove the existence of a locally risk-minimizing strategy …

We determine the increase of the maximum risk over the minimax risk in the case that the optimally robust estimator for … the relative risk is minimized in the case that the radius is known only to belong to some interval [pr, l'/p] " The … effect of increasing parameter dimension is studied for these models. The minimax increase of relative risk in ease p = 0 …

Credit risk refers to the risk of incurring losses due to unexpected changes in the credit quality of a counterparty or …. We consider individual as well as correlated credit risks. -- compensator ; intensity ; credit risk ; default risk …