Main content

German original

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

Level, degree of commitment in original study programme Advanced 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: 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 study course M.Sc. Business Mathematics.
Original study programme M.Sc. Wirtschaftsmathematik / Wirtschaftsmathematische Anwendungsmodule
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.


Recommended Reading

  • Milbrodt: Aktuarielle Methoden der deutschen Privaten Krankenversicherung. Verlag Versicherungswirtschaft, Karlsruhe, 2005.
  • 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 Wintersemester 2021/22. 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.