Nonlife Insurance Mathematics

Prof. Dr. Henryk Zähle

Winter Term 2022/2023

Prerequisites

Stochastics I, and basic lectures in analysis and linear algebra (e.g. Analysis 1-3, Linear Algebra 1-2).

This course is intended for students of Mathematics or Mathematics & Computer Science. Participation in the course requires a basic education in mathematics and a profound knowledge in measure theoretic probability theory (as is taught in the course Stochastics I).

Language

The course will be held in English unless all participants speak German.

Lecture

Thursday, 14-16 pm, building (to be announced), room (to be announced)

Tutorial

Day (to be announced), time (to be announced), building (to be announced), room (to be announced)

Assignments

There will be weekly assignments.

Exam

At the end of the term, there will be an oral exam.

Course material

Course material will be made available on Moodle.

Contents

  • Distributions on the real line
  • Standard models of nonlife insurance
  • Risk reduction by pooling individual risks
  • Ruin theory as a justification for safety margins of premiums
  • Calculation of premiums, part I  (premium principles)
  • Calculation of premiums, part II  (credibility theory)
  • Loss reserving
  • Basics of reinsurance