Large banks assess their regulatory capital for market risk using complex, firm-wide Value-at-Risk (VaR) models. In their 'bottom-up' approach to VaR there are many sources of model risk. A recent amendment to banking regulations requires additional market risk capital to cover all these model...

We analyse models for panel data that arise in risk allocation problems, when a given set of sources are the cause of an aggregate risk value. We focus on the modeling and forecasting of proportional contributions to risk. Compositional data methods are proposed and the regression is flexible to...