𝔖 Bobbio Scriptorium
✦   LIBER   ✦

092042 (M52, M15) Relative reinsurance retention levels : Dickson D., Presented at the International Workshop on The Interplay between Insurance, Finance and Control, organized by the Mathematical Research Centre at Aarhus University, also supported by the Danish Science Research Council and the Centre for Analytical Finance


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
90 KB
Volume
20
Category
Article
ISSN
0167-6687

No coin nor oath required. For personal study only.

✦ Synopsis


The problem of determining optimal retention levels for a non-life portfolio consisting of a number of independent sub-portfolios was first discussed by de Finetti (1946). He considered retention levels to be optimal if they minimized the variance of the insurer's profit from the portfolio subject to the constraint of a fixed level of expected profit. In this presentation the criterion for optimality is minimizing the probability of ruin, either in discrete or continuous time. The author investigates this problem through a series of case studies based on a real portfolio.


πŸ“œ SIMILAR VOLUMES


092022 (M12) Optimal control of piecewis
πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 177 KB

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

092023 (M12) Non-standard risk process :
πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 88 KB

Yushkevich can also be applied to certain models where control of the flow is possible. The method consists in a transformation to a model without control of the flow by a kind of time change.

092011 (M10) A primer on quantile estima
πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 182 KB

Counting processes and their compensators are introduced at a heuristic level. The martingale property of stochastic integrals with respect to a compensated counting process leads to moment estimates and asymptotic normal distributions for statistics arising in multiple state, non-parametric and sem