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 …

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 …

VaR models are related to statistical forecast systems. Within that framework different forecast tasks including Value-at-Risk … and shortfall are discussed and motivated. A backtesting method based on the shortfall is developed and applied to VaR … forecasts of areal portfolio. The analysis shows that backtesting based on shortfall is very sensitive with respect to the …

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 show that the current standard of quantifying market risk is flawed. It is perfectly aligned with the interests of … ; supervision ; risk measures ; Basel Accord …

There are three major points to this article: 1. Measurement error causes biases in regression fits. The line one would … exposure with error. 2. The effects of measurement error vary from study-to-study. It is dangerous to take measurement error … corrections derived from one study and apply them to data from entirely different studies or populations. 3. Measurement error can …