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Intuition based on the usual interpretation of the covariance of two random variables suggests that the inequality cov[f(X),g(X)]≥0 should hold for any random variable X and any two increasing functions f and g. The inequality holds indeed, but a proof is hard to find in the literature. In...
Persistent link: https://www.econbiz.de/10011046633
This paper presents a new axiomatic characterization of risk measures that are additive for independent random … variables. In contrast to previous work, we include an axiom that guarantees monotonicity of the risk measure. Furthermore, the …. The risk measure characterized can be regarded as a mixed exponential premium. …
Persistent link: https://www.econbiz.de/10005450808
This paper presents a new axiomatic characterization of risk measures that are additive for independent random … variables. In contrast to previous work, we include an axiom that guarantees monotonicity of the risk measure. Furthermore, the …. The risk measure characterized can be regarded as a mixed exponential premium. …
Persistent link: https://www.econbiz.de/10011256720
The computation of various risk metrics is essential to the quantitative risk management of variable annuity guaranteed … produce closed-form approximation of the risk measures for variable annuity guaranteed benets. The techniques are further … developed in this paper to address in a systematic way risk measures for death benets with the consideration of dynamic …
Persistent link: https://www.econbiz.de/10011257582
value of the payments made by the annuity provider. These approximations account not only for systematic longevity risk but …
Persistent link: https://www.econbiz.de/10011116638
given probability level, the Value at Risk and the Conditional Left Tail Expectation of the distribution function of final …
Persistent link: https://www.econbiz.de/10005022327
Persistent link: https://www.econbiz.de/10005547686
The article presents the initial proposal for the group risk measurement based on the comparison of two interconnected … sets of webs. The risk scalar has been presented both for each separated subsidiary as well as for the group itself. It was … shown the risk profile of the group could be aggregated into a single value, and some consequences of that attribute was …
Persistent link: https://www.econbiz.de/10009325682
Persistent link: https://www.econbiz.de/10010558311
allocation rules to specific decision criteria and thus provides the risk manager with flexibility to meet specific target …
Persistent link: https://www.econbiz.de/10005836634