This entry is from Winter semester 2020/21 and might be obsolete. No current equivalent could be found.

# Mathematics of Personal Insurance: Health Insurance (dt. Personenversicherungsmathematik: Krankenversicherung)

 Level, degree of commitment Specialization module, compulsory elective module 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. Duration,frequency One semester, Regelmäßig alle 4 Semester Person in charge of the module's outline Prof. Dr. Ernst-Wilhelm Zachow

## Contents

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

Health insurance mathematics:

Legal framework in the structured health insurance system, premium calculation, ageing provision, accounting principles for health insurance, profit participation and its use, profit analysis, key figures.

## Qualification Goals

The students shall

• learn the basics of actuarial modelling and actuarial control cycles in health 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.

## Applicability

Module imported from M.Sc. Business Mathematics.

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

• B.Sc. Mathematics
• M.Sc. Computer Science
• M.Sc. Mathematics

When studying M.Sc. Mathematics, this module can be attended in the study area Specialization Modules in Mathematics.

The module is assigned to Business Mathematical Applications within Applied Mathematics. Further information on eligibility can be found in the description of the study area.

• Milbrodt: Aktuarielle Methoden der deutschen Privaten Krankenversicherung. Verlag Versicherungswirtschaft, Karlsruhe, 2005.
• Milbrodt/Helbig: Mathematische Methoden der Personenversicherung.
• Walter de Gruyter, Berlin-NewYork, 1999.