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 …

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 …

Value-at-risk (VaR) and conditional value-at-risk (CVaR) are popular risk measures from academic, industrial and … investor is faced with a Markowitz type of risk reward problem at the final horizon, where variance as a measure of risk is …