###### Main content

This entry is from Winter semester 2022/23 and might be obsolete. No current equivalent could be found.

# Mathematics of Personal Insurance: Life Insurance (dt. Personenversicherungsmathematik: Lebensversicherung)

 Level, degree of commitment Specialization module, depends on importing study program Forms of teaching and learning,workload Lecture (2 SWS, in Blockveranstaltungen), 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. Subject, Origin Mathematics, M.Sc. Business Mathematics Duration,frequency One semester, Regelmäßig alle 4 Semester Person in charge of the module's outline Prof. Dr. Ernst-Wilhelm Zachow

## Contents

Probability theoretical modelling, random variables in personal insurance, biometric and other calculation bases, present values, equivalence principle.

Life insurance mathematics:

Legal framework for life insurance, premium calculation, actuarial provision, accounting principles for life insurance, profit participation and its use, profit analysis, key figures.

## Qualification Goals

The students shall

• get to know the fundamentals of actuarial modelling and actuarial control cycles in life insurance,
• model simple tasks of a practical and theoretical nature independently, then lead them to a solution and present them in a realistic way,
• practice mathematical working methods (development of mathematical intuition and its formal justification, training of the ability to abstract, to prove),
• improve their oral communication skills in the exercises by practicing free speech in front of an audience and during discussion.

## 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.

## Recommended Reading

• Milbrodt/Helbig: Mathematische Methoden der Personenversicherung.
• Walter de Gruyter, Berlin-NewYork, 1999.

## Please note:

This page describes a module according to the latest valid module guide in Winter semester 2022/23. 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:

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.