Stochastic control for optimal new business
β Scribed by Christian Hipp; Michael Taksar
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 902 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0167-6687
No coin nor oath required. For personal study only.
β¦ Synopsis
Given an insurance portfolio, investment in new business is used to minimize the probability of technical ruin for the total position. This is a simple stochastic control problem for which solutions can be characterized and computed when the risk processes for old and new business are modelled by compound Poisson processes.
π SIMILAR VOLUMES
Some informal remarks are offered on the present status and future direction of stochastic control. Summary--It is indicated that optimal stochastic control is still in its infancy, and that at the present time it has little use in practice although a wide class of problems can be precisely stated.