Recently, Frittelli and Scandolo ([9]) extend the notion of risk measures, originally introduced by Artzner, Delbaen, Eber and Heath ([1]), to the risk assessment of abstract financial positions, including pay offs spread over different dates, where liquid derivatives are admitted to serve as...

We propose a stochastic control approach to the dynamic maximization ofrobust utility functionals that are defined in terms of logarithmic utility and a dynamically consistent convex risk measure. The underlying market is modeled by a diffusion process whose coefficients are driven by an...

This article provides an overview and comparison of risk-based capital (RBC) requirements as they currently exist in the United States, the European Union, Switzerland, and New Zealand. These four systems are representative of different ways capital standards are implemented around the globe....

Fair pricing of embedded options in life insurance contracts is usually conducted by using risk-neutral valuation. This pricing framework assumes a perfect hedging strategy, which insurance companies can hardly pursue in practice. In this paper, we extend the risk-neutral valuation concept with...

We give an explicit PDE characterization for the solution of a robust utility maximization problem in an incomplete market model, whose volatility, interest rate process, and long-term trend are driven by an external stochastic factor process. The robust utility functional is defined in terms of...

Ambiguity, also called Knightian or model uncertainty, is a key feature in financial modeling. A recent paper by Maccheroni et al. (2004) characterizes investorpreferences under aversion against both risk and ambiguity. Their result shows that these preferences can be numerically represented in...

We extend the definition of a convex risk measure to a conditionalframework where additional information is available. We characterize these riskmeasures through the associated acceptance sets and prove a representationresult in terms of conditional expectations. As an example we consider the...

[...]The purpose of this article is to build on this earlier work, bythe Basel Committee and others, and to consider the issues thatwould have to be addressed in developing a regulatory minimumcapital standard based on banks’ internal credit risk models. Inconducting this exercise, we consider...

Es wurde die Kapitalanlageperformance der deutschen Lebensversicherer unter Performance- und Risikoaspekten untersucht. Dabei hatte Albrecht festgestellt, dass der erhobene Vorwurf einer unbefriedigenden Kapitalanlageperformance der deutschen Lebensversicherer aus empirischer Sicht unbegründet...

We consider the problem of optimal consumption for an investor who is risk and uncertainty avers. We model these preferences of the investor with the help of a convex risk-measure...