STK4540 – Non-Life Insurance Mathematics
Course description
Schedule, syllabus and examination date
Course content
The most important mathematical models in general insurance are introduced, including how they are identified from historical data and how they are simulated in the computer. These methods are used to price insurance products, control the solvency of companies, analyse reinsurance and examine the development of a company over time. There is an introduction to Ruin Theory and the computations and estimation of default probabilities. The subject includes a part about Credibility Theory and how to compute net premiums based on historical data. The last part is devoted to the computation of reserves under the Solvency II regulation, a regime all insurance companies in the EU/E?S area have to follow.
Learning outcome
After completing the course you will be able to
- deal with the most common probability distributions for non-life insurance claims (heavy-tailed and light-tailed distributions)
- use models for collective risk and non-life insurance claims (Poisson process, mixed Poisson process, renewal process, Cramér-Lundberg model, Sparre-Andersen model, etc.)
- compute company obligations and premiums
- analyze reinsurance strategies for both cedent and reinsurer
- ruin Theory (Risk process and probability for bankruptcy)
- credibility Theory (Bayes and linear Bayes estimators under the heterogeneity model, Bühlmann and Bühlmann-Straub model)
- computation of insurance reserves with the help of run-off triangles under Solvency II.
Admission to the course
Students admitted at UiO must?apply for courses?in Studentweb. Students enrolled in other Master's Degree Programmes can, on application, be admitted to the course if this is cleared by their own study programme.
Nordic citizens and applicants residing in the Nordic countries may?apply to take this course as a single course student.
If you are not already enrolled as a student at UiO, please see our information about?admission requirements and procedures for international applicants.
Recommended previous knowledge
- MAT1100 – Calculus
- MAT1110 – Calculus and Linear Algebra
- MAT-INF1100 – Modelling and Computations
- STK1100 – Probability and Statistical Modelling
- STK1110 – Statistical Methods and Data Analysis
- STK3505 – Problems and Methods in Actuarial Science
Overlapping courses
- 10 credits overlap with FM220.
- 10 credits overlap with FM212.
- 10 credits overlap with FM212.
- 10 credits overlap with FM200.
- 10 credits overlap with FM311.
- 7 credits overlap with STK2510 – Non-Life Insurance Mathematics (discontinued).
Teaching
4 hours of lectures/exercises per week throughout the semester.
The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.
Examination
Final written exam or final oral exam, which counts 100 % towards the final grade.
The form of examination will be announced by the lecturer by 1 October/1 March for the autumn semester and the spring semester respectively.
This course has 2 mandatory assignments that must be approved before you can sit the final exam.
Examination support material
Approved calculators are allowed. Information about approved calculators in Norwegian.
Language of examination
Courses taught in English will only offer the exam paper in English. You may write your examination paper in Norwegian, Swedish, Danish or English.
Grading scale
Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.
Resit an examination
This course offers both postponed and resit of examination. Read more:
More about examinations at UiO
- Use of sources and citations
- Special exam arrangements due to individual needs
- Withdrawal from an exam
- Illness at exams / postponed exams
- Explanation of grades and appeals
- Resitting an exam
- Cheating/attempted cheating
You will find further guides and resources at the web page on examinations at UiO.