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, 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): 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. 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

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.

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