# Personal Insurance Mathematics (dt. Personenversicherungsmathematik)

 Level, degree of commitment Advanced 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 German,The grading is done with 0 to 15 points according to the examination regulations for the degree program B.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

Familiarization with:

• Basic model of personal insurance mathematics
• State model with elimination causes
• Mortality tables
• Types of calculation bases
• Fulfillment amount of an obligation
• Forms of life insurance and their calculation
• Formation of actuarial reserves
• Projected unit credit of pension insurance mathematics
• Calculation principles of health insurance

## Qualification Goals

Students will

- know the basic models and calculation principles of personal insurance mathematics. These include, but are not limited to, elimination causes, formation of actuarial reserves. The three areas of personal insurance mathematics are considered:

• life insurance
• health insurance
• pension insurance

## 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, either Elementary Probability and Statistics.

## Applicability

Module imported from B.Sc. Business Mathematics.

It can be attended at FB12 in study program(s)

• B.Sc. Mathematics
• M.Sc. Mathematics

When studying B.Sc. Mathematics, this module can be attended in the study area Compulsory Elective Modules in Mathematics.

• Becker, T., " Mathematik der privaten Krankenversicherung", 2017, Springer
• Führer, Chr., A. Grimmer, "Einführung in die Lebensversicherungsmathematik", 2. Auflage 2010, Verlag für Versicherungswirtschaft
• Ortmann, K. M., "Praktische Lebensversicherungsmathematik", 2015, Springer

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.