Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-61-19-K-7

Non-Life Insurance Mathematics (4V+2U, 9.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes (V/U) 9.0 CP 186 h
4 V Lecture 56 h
2 U Exercise class (in small groups) 28 h
(4V+2U) 9.0 CP 84 h 186 h

Basedata

SWS 4V+2U
CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. in WiSe
Level [7] Master (Advanced)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-STO] Stochastics/Statistics/Financial Mathematics
Additional informations
Livecycle-State [NORM] Active

Contents

  • Convolution and transforms,
  • Claim size distributions,
  • Individual risk model,
  • Collective risk models:
    • Claim number process,
    • Poisson process,
    • Renewal processes,
    • Total claim size distribution,
  • Risk Process,
  • Ruin theory and ruin probabilities,
  • Premium calculation,
  • Experience rating:
    • Bayes estimation,
    • Linear Bayes estimation (Bühlmann and Bühlmann-Straub model),
  • Reserves,
  • Reinsurance and risk sharing.

Literature

  • H. Bühlmann: Mathematical Methods in Risk Theory,
  • R. Kaas, M. Goovaerts, J. Dhaene, M. Denuit: Modern Actuarial Risk Theory,
  • T. Mikosch: Non-Life Insurance: An Introduction with the Poisson Process,
  • E. Straub: Non-Life Insurance Mathematics.

Registration

Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de).

Requirements for attendance (informal)

Modules:

Requirements for attendance (formal)

None

References to Course [MAT-61-19-K-7]

Module Name Context
[MAT-61-19-M-7] Non-Life Insurance Mathematics P: Obligatory 4V+2U, 9.0 LP