This book presents an up-to-date overview of the theory as well as the empirics of the relationship between investment …, the authors discuss both traditional investment models with uncertainty and the more modern option based models. They … present an overview of empirical results of the modelling of investment under uncertainty. In these examples, the effects of …

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 … under the inclusion of transaction costs: The preceding strategy which is locally risk-minimizing inclusive of transaction …

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 …

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 … preferences, in the way many coherent risk measures are somewhat generic. -- coherent risk rneasures ; valuation bounds …