This entry is from Summer semester 2021 and might be obsolete. No current equivalent could be found.

# Actuary Science: Risc Theory (dt. Aktuarwissenschaften: Risikotheorie)

 Level, degree of commitment Specialization module, compulsory elective module Forms of teaching and learning,workload Lecture (2 SWS, mit integrierten recitation classen), 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, Regularly alternating with other specialization modules in Versicherungsmathematik Person in charge of the module's outline Dr. Michael Schüte, Prof. Dr. Hajo Holzmann

## Contents

Risk theory incl. non-life insurance mathematics:

Individual and collective model, calculation of total loss distributions, random sums, credibility theory, solvency, loss reservation, reinsurance, risk sharing

## Qualification Goals

• To impart basic knowledge (also applicable in professional practice), in particular on the general principles of provisioning in non-life insurance,
• Recognition of connections to stochastics as well as to life and health insurance mathematics,
• Practice of mathematical working methods (development of mathematical intuition and its formal justification, training of the ability to abstract, proof techniques),
• Improve oral communication skills 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. Computer Science, this module can be attended in the study area Minor subject Mathematics.

• Neuburger, E.: Mathematik und Technik betrieblicher Pensionszusagen
• Gerber, H.U.: Lebensversicherungsmathematik
• Diverse Aufsätze zur Risikotheorie / Schadensversicherungsmathematik