Nonlife Insurance Mathematics
Prof. Dr. Henryk Zähle
Winter Term 2022/2023
Prerequisites
Stochastics I, and basic lectures in analysis and linear algebra (e.g. Analysis 1-3, Linear Algebra 1-2).
This course is intended for students of Mathematics or Mathematics & Computer Science. Participation in the course requires a basic education in mathematics and a profound knowledge in measure theoretic probability theory (as is taught in the course Stochastics I).
Language
The course will be held in English unless all participants speak German.
Lecture
Thursday, 2-4 pm, in Seminar Room 6 in Building E 2.4
Tutorial
Day (to be announced), time (to be announced), building (to be announced), room (to be announced)
Assignments
There will be weekly assignments.
Exam
At the end of the term, there will be an oral exam.
Course material
Course material will be made available on Moodle.
Contents
- Distributions on the real line
- Standard models of nonlife insurance
- Risk reduction by pooling individual risks
- Ruin theory as a justification for safety margins of premiums
- Calculation of premiums, part I (premium principles)
- Calculation of premiums, part II (credibility theory)
- Loss reserving
- Basics of reinsurance