Description: The conditional tail expectation [CTE] is a popular actuarial risk measure and a useful tool in financial risk assessment. Under the classical assumption that the second moment of the loss variable is finite, the asymptotic normality of the non-parametric CTE estimator has already been established in the literature. That result, however, is not applicable when the loss variable follows any distribution with infinite second moment, which is a frequent situation in practice. With a help of extreme-value methodology, this presentation offers a solution to the problem by suggesting a new CTE estimator, which is applicable when claims losses have finite means but infinite variances.

Description: This is the abstract for the reseach on the actuarial CTE risk measure for heavytailed losses: a new estimator and confidence intervals.c