An investor faced with a contingent claim may eliminate risk by (super-)hedging in a financial market. As this is often … quite expensive, we study partial hedges, which require less capital and reduce the risk. In a previous paper we determined … the shortfall risk defined as the expectation of the shortfall weighted by some loss function. The resulting efficient …

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 …

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 …

; monetary policy instruments of the ECB ; interest rate risk …