A new measure of local dependence called "layer dependence" is proposed and analysed. Layer dependence measures the dependence between two random variables at different percentiles in their joint distribution. Layer dependence satisfies coherence properties similar to Spearman's correlation,...

This paper proposes a framework to analyze mean and distortion risk across layers forming a random loss. Layers are standard insurance and financial constructs representing insurance coverage, capital shortfall, derivative payouts and debt tranches. Layers are expressed using percentiles or...

This paper develops, analyses and implements an early warning tool for systemic risk in banks and financial entities. The tool is based on a refined approach to stress testing. Calculations performed on Australian bank data are shown to predict past distress. Risk is measured as a function of...

A critical problem in risk analysis involving financial variables is the calculation of risk margins. When there are a number of risks, the total risk margin is often reduced to reflect "diversification benefits." How large should the diversification benefit be? And how should the benefit be...

This article discusses the determination of risk capital based on quot;aversionquot; functions. Aversion functions weigh different outcomes according to perceived severity or likelihood. Many risk measures are usefully viewed in terms of aversion functions including those arising from distortion...