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We discuss risk measures representing the minimum amount of capital a financial institution needs to raise and invest in a pre-specified eligible asset to ensure it is adequately capitalized. Most of the literature has focused on cash-additive risk measures, for which the eligible asset is a...
Persistent link: https://www.econbiz.de/10010258580
protection in risk measurement compared with VaR and ES, especially in times of significant turbulence in riskier scenarios …
Persistent link: https://www.econbiz.de/10013005534
A practically oriented, top-down approach to assessing the quality of EL by backtesting with a properly defined risk measure is introduced. In a first step, the concept of risk expenses ("Cost of Risk") has to be extended beyond the classical provisioning view, toward a more adequate capital...
Persistent link: https://www.econbiz.de/10013018343
The dependency structure of credit risk parameters is a key driver for capital consumption and receives regulatory and scientific attention. The impact of parameter imperfections on the quality of expected loss (EL) in the sense of a fair, unbiased estimate of risk expenses, however, is barely...
Persistent link: https://www.econbiz.de/10013018615
Risk capital allocations (RCAs) are an important tool in quantitative risk management, where they are utilized to, e.g., gauge the profitability of distinct business units, determine the price of a new product, and conduct the marginal economic capital analysis. Nevertheless, the notion of RCA...
Persistent link: https://www.econbiz.de/10013238894
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...
Persistent link: https://www.econbiz.de/10011620033
Stop-loss and limited loss random variables are two important transforms of a loss random variable and appear in many modelling problems in insurance, finance, and other fields. Risk levels of a loss variable and its transforms are often measured by risk measures. When only partial information...
Persistent link: https://www.econbiz.de/10014355245
This paper proves that the (negative) certainty equivalent (CE) in reference-dependent decision theories (such as Prospect Theory) always satisfies the well-known axiomatic characterisation of a monetary risk measure, although in rational Expected Utility Theory this only holds in special cases....
Persistent link: https://www.econbiz.de/10013405991
This paper investigates the coherent risk measure of normal mixture distributions. The main result shows that the mean-risk portfolio optimization problem of some widely-used normal mixture distributions can be reduced to a quadratic programming problem which has closed form of solution by...
Persistent link: https://www.econbiz.de/10013030659
This note highlights the impact of changing the aggregation currency when testing for capital adequacy. This is … corresponding capital adequacy test -- critically depends on the aggregation currency. This is in contrast to Value-at-Risk, whose … sign is independent of the chosen aggregation currency. This implies that due caution is needed when using Expected …
Persistent link: https://www.econbiz.de/10013053687