Kaisa_2012_3_photo by Veikko Somerpuro

Insurance mathematics is often split into two parts: life insurance mathematics and non-life insurance mathematics. The course Advanced Risk theory focuses on topics concerning non-life insurance mathematics. The aim of the course is to present probabilistic models that can be used to better understand the operation of, say, insurance companies. We will focus on questions related to the estimation of long term solvency and ruin probabilities. The classical setting is extended by introducing more realistic models. For example, we will study models with heavy-tailed inputs and models where returns on investments are taken into account.

The concepts of the course rely heavily on probability. It is recommended to take advanced courses Probability theory I-II and the first course MAST31802 Risk theory before taking Advanced risk theory.



We will use Piazza discussion platform during this course. If you do not have helsinki.fi address, please send me an email to jaakko.lehtomaa 'at' helsinki.fi so that I can add your email address manually.


Here is the course’s teaching schedule. Check the description for possible other schedules.

Mon 13.1.2020
16:15 - 18:00
Tue 14.1.2020
16:15 - 18:00
Mon 20.1.2020
16:15 - 18:00
Tue 21.1.2020
16:15 - 18:00
Mon 27.1.2020
16:15 - 18:00
Tue 28.1.2020
16:15 - 18:00
Mon 3.2.2020
16:15 - 18:00
Tue 4.2.2020
16:15 - 18:00
Mon 10.2.2020
16:15 - 18:00
Tue 11.2.2020
16:15 - 18:00
Mon 17.2.2020
16:15 - 18:00
Tue 18.2.2020
16:15 - 18:00
Mon 24.2.2020
16:15 - 18:00
Tue 25.2.2020
16:15 - 18:00

Other teaching

17.01. - 28.02.2020 Fri 12.15-14.00
Jaakko Lehtomaa
Teaching language: English


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Optional course.

Master's Programme in Mathematics and Statistics is responsible for the course.

The course belongs to the Mathematics and Applied mathematics module.

The course is available to students from other degree programmes.

Probability theory, Risk theory

Stochastic analysis I, II

The second course on insurance risk theory

Recommended time/stage of studies for completion: 1. or 2. year

Term/teaching period when the course will be offered: varying

Advanced ruin theory

Lecture notes

Lectures and exercise classes

Exam and excercises, Course will be graded with grades 1-5

Exam, other methods will be described later