This entry is from Winter semester 2018/19 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): Written examination Examination type: Successful completion of at least 50 percent of the points from the weekly exercises. 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

Translation is missing. Here is the German original:

Keine. Empfohlen werden die Kompetenzen, die in den Basismodulen Analysis und Lineare Algebra sowie im Aufbaumodul Elementare Stochastik vermittelt werden.

## 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 B.Sc. Business Mathematics, this module can be attended in the study area Specialization Modules.

Die Wahlmöglichkeit des Moduls ist dadurch beschränkt, dass es dem Schwerpunkt Stochastik and den wirtschaftswissenschaften Schwerpunkten zugeordnet ist.

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