We discuss risk measures representing the minimum amount of capital a financial institution needs to raise and invest …-additive risk measures, for which the eligible asset is a risk-free bond, on the grounds that the general case can be reduced to the … provide a variety of finiteness and continuity results for the corresponding risk measures and apply them to risk measures …

We introduce a class of quantile-based risk measures that generalize Value at Risk (VaR) and, likewise Expected … probability of occurrence. The corresponding risk measure, called Loss VaR (LVaR), determines the minimal capital injection that … and applications to capital adequacy, portfolio risk management and catastrophic risk are presented …