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Non-Life Insurance Mathematics
(dt. 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: Oral examination (individual examination) or written examination
Language,
Grading		 English,
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

Students will

  • Know the basic concepts and models of non-life insurance mathematics,
  • can evaluate the appropriateness of models/methods of non-life actuarial science.

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 Probability and Statistics.


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 Compulsory Elective Modules in Mathematics.

The module can also be used in other study programs (export module).


Recommended Reading

  • Schmidt, K. D., „Versicherungsmathematik“, 3. Auflage 2009, Springer
  • Goelden, H.-W. et al, "Schadenversicherungsmathematik", 2015, Springer
  • Becker, T. et al, "Stochastische Risikomodellierung und statistische Methoden", 2016, Springer



Please note:

This page describes a module according to the latest valid module guide in Winter semester 2023/24. 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 (no corresponding element)
  • Summer 2018 (no corresponding element)
  • Winter 2018/19 (no corresponding element)
  • Winter 2019/20 (no corresponding element)
  • Winter 2020/21 (no corresponding element)
  • Summer 2021 (no corresponding element)
  • Winter 2021/22 (no corresponding element)
  • Winter 2022/23 (no corresponding element)
  • Winter 2023/24

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.