โ Scribed by Etienne Marceau; Patrice Gaillardetz
No coin nor oath required. For personal study only.
The calculation of the reserves in a stochastic mortality and interest rates environment for a general portfolio of life insurance policies is examined. The first two moments of the prospective loss random variable for the general portfolio are derived. A Monte Carlo simulation method is used to estimate the distribution of this random variable. Another approximation of the prospective loss random variable which is based on the assumption of a large portfolio is also considered. In the numerical examples, a discrete-time model for the stochastic interest rates is assumed.
๐ SIMILAR VOLUMES
In this article, the authors discuss mixed exponential distributions and, more generally, scale mixtures with specific consideration the purpose of insurance modeling. Results are derived for equilibrium distributions (defined via stop-loss transforms) of mixed distributions. Some recursive relation
## Analytical Finance The statistical estimation problem of (high) quantiles plays a fundamental role in both insurance and finance. For instance the pricing of Catastrophe Excess of Loss (CAT-XL) covers gives an example of the former, whereas the estimation of Value-at-Risk (VaR) in risk manageme