This entry is from Winter semester 2020/21 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

Module imported from M.Sc. Business Mathematics.

It 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. Computer Science, this module can be attended in the study area Minor subject Mathematics.