Not available in 2022/23
ST448      Half Unit
Insurance Risk

This information is for the 2022/23 session.

Teacher responsible

Daniela Escobar

Availability

This course is available on the MSc in Financial Mathematics, MSc in Quantitative Methods for Risk Management, MSc in Statistics (Financial Statistics), MSc in Statistics (Financial Statistics) (LSE and Fudan) and MSc in Statistics (Financial Statistics) (Research). This course is available with permission as an outside option to students on other programmes where regulations permit.

The course is available with permission when students meet requirement on pre-requisities. 

Pre-requisites

Students must have completed Stochastic Processes (ST302) and Probability, Distribution Theory and Inference (ST202).

Good undergraduate understanding of distribution theory and stochastic processes. ST202, ST302 or their equivalent.

Course content

A self-contained introduction to insurance risk analysis. Starting from classical actuarial modelling of insurance risk, utility theory with optimal forms of insurance from the insured's and from the insurer's point of view are analysed. Pareto-optimal risk exchanges are introduced. Standard schemes of reinsurance are introduced and analysed. The individual and collective model are introduced to understand the aggregated claim process and approximate it. There is an emphasis in the compound Poisson process and therefore a detailed description of the Poisson process is explained. In the second part of the course we cover Ruin theory for an insurance company and capital requirement are studied. Heavy tail distributions and the extreme value theory are introduced. We solve reinsurance problems in a scheme with aggregated claims. Finally, we study closed-form solutions of the ruin probability as we also approximate it using R.

Teaching

20 hours of lectures and 10 hours of seminars in the MT.

Week 6 will be used as a reading week.

Formative coursework

Students will be expected to produce 6 problem sets in the MT.

Indicative reading

Kaas, R., Goovaerts, M., Dhaene, J., & Denuit, M. Modern actuarial risk theory: using R 

Thomas Mikosch, Non-Life Insurance Mathematics

Ragnar Norberg, Non-life Insurance Mathematics (Lecture notes)

Pauline Barrieu, Luca Albertini, The Handbook of Insurance-Linked Securities

Assessment

Exam (70%, duration: 2 hours) in the summer exam period.
Project (30%) in the LT.

 

Key facts

Department: Statistics

Total students 2021/22: Unavailable

Average class size 2021/22: Unavailable

Controlled access 2021/22: No

Value: Half Unit

Guidelines for interpreting course guide information

Course selection videos

Some departments have produced short videos to introduce their courses. Please refer to the course selection videos index page for further information.

Personal development skills

  • Team working
  • Problem solving
  • Application of numeracy skills
  • Commercial awareness