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This entry is from Winter semester 2019/20 and might be obsolete. No current equivalent could be found.
Actuary Science: Mathematics of Indemnity Insurance
(dt. Aktuarwissenschaften: Schadenversicherungsmathematik)
Level, degree of commitment | Specialization module, compulsory elective module |
Forms of teaching and learning, workload |
Lecture (2 SWS, mit integrierten recitation classen), 90 hours (30 h attendance, 60 h private study) |
Credit points, formal requirements |
3 CP Course requirement(s): Successful completion of at least 50 percent of the points from the weekly exercises. Examination type: Written examination |
Language, Grading |
German,The grading is done with 0 to 15 points according to the examination regulations for the degree program M.Sc. Business Mathematics. |
Duration, frequency |
One semester, Regularly alternating with other specialization modules in Versicherungsmathematik |
Person in charge of the module's outline | Dr. Michael Schüte, Prof. Dr. Hajo Holzmann |
Contents
Risk models and premium calculation
- Basic terms individual/collective model
- Panjer distribution class
Tariffing
- Data: Risk classes, major loss problems
- Models and estimation methods
- Premium differentiation and selection effects
Damage reservation
- Basic terms and models
- Procedure for reserving claims
Reinsurance and risk sharing
- Forms and reasons of risk sharing
- Impact of risk sharing on key figures
Principles of premium calculation for reinsurance treaties
Qualification Goals
The students shall
- learn the basic concepts and models of non-life insurance mathematics,
- be able to assess the appropriateness of the models/methods of non-life insurance mathematics.
Prerequisites
None. The competences taught in the following modules are recommended: either Linear Algebra I and Linear Algebra II or Basic Linear Algebra, either Analysis I and Analysis II or Basic Real Analysis, Elementary Stochastics.
Applicability
The module can be attended at FB12 in study program(s)
- B.Sc. Mathematics
- B.Sc. Business Mathematics
- M.Sc. Computer Science
- M.Sc. Mathematics
- M.Sc. Business Mathematics
When studying M.Sc. Business Mathematics, this module can be attended in the study area Applied Modules in Business Mathematics.
The module can also be used in other study programs (export module).
Recommended Reading
- Schmidt, K. D., „Versicherungsmathematik“, 3. Auflage 2009, Springer
Please note:
This page describes a module according to the latest valid module guide in Winter semester 2019/20. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:
- Winter 2016/17
- Summer 2018
- Winter 2018/19
- Winter 2019/20
- Winter 2020/21
- Summer 2021
- Winter 2021/22
- Winter 2022/23
- Winter 2023/24 (no corresponding element)
The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.
The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.