This entry is from Winter semester 2018/19 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): 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, 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

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.

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