Evaluating risk measures, premiums, and capital allocation based on dependent multi-losses is a notoriously difficult … by a heavy-tailed background risk. A particular attention is given to the distortion and weighted risk measures and … allocations, as well as their special cases such as the conditional layer expectation, tail value at risk, and the truncated tail …

Monetary risk measures classify a financial position by the minimal amount of external capital that must be added to … the position to make it acceptable.We propose a new concept: intrinsic risk measures. The definition via external capital … is avoided and only internal resources appear. An intrinsic risk measure is defined by the smallest percentage of the …

The Euler (or gradient) allocation technique defines a financial institution's marginal cost of a risk exposure via … calculation of the gradient of a risk measure evaluated at the institution's current portfolio position. The technique, however …, relies on an arbitrary selection of a risk measure. We reverse the sequence of this approach by calculating the marginal …

Analytical portfolio risk calculations can be derived and computed in matrix form. Since the inputs are linear asset … number. Marginal Contributions and Expected Shortfall provide more insight about concentration of risk vs. diversification …

Starting from the requirement that risk measures of financial portfolios should be based on their losses, not their … gains, we define the notion of loss-based risk measure and study the properties of this class of risk measures. We … characterize loss-based risk measures by a representation theorem and give examples of such risk measures. We then discuss the …

The article deals with the liquidity risk in the banks in the context of the financial crisis. At first, the balance … sheet and market liquidity are defined and the main principles of the methods for measuring liquidity risk, which banks use …