STK4540 – Non-Life Insurance Mathematics

Schedule, syllabus and examination date

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Teaching and exams spring 2022

In light of the most recent infection control regulations, we will at the start of the spring semester 2022 increase our online teaching, while we at the same time try to maintain in-person teaching where this is possible. We hope to go back to more in-person teaching later on in the semester. You will be informed about any changes in teaching or examinations on the semester page, in Canvas or through your regular channels.

Read more about postponed exams for the autumn semester 2021.

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/EØS 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.

Overlapping courses


3 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.


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 15 October/15 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:

Special examination arrangements, use of sources, explanations and appeals

See more about examinations at UiO

Last updated from FS (Common Student System) Jan. 21, 2022 9:22:58 PM

Facts about this course

Teaching language