# 105.325 Life and health insurance mathematics This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2010W 2009W 2008W 2007W 2006W 2005W 2004W 2003W 2003S 2002S 2001S 2000S 1999S 1998S 1997S 1996S 1995S 1994S 1993S 1992S 1991S 1990S 1989S 1988S 1987S 1986S 1985S 1984S 1983S 1982S 1981S 1980S 1979S 1978S 1977S 1976S 1975S

2010W, VO, 3.0h, 4.5EC

## Properties

• Semester hours: 3.0
• Credits: 4.5
• Type: VO Lecture

## Aim of course

Actuarial models for life, disability and health insurance, mathematics for pensions, pension funds, healt insurance mathematics, unit-linked life insurance contracts.

## Subject of course

(I) Insurance of several lifes, total loss in a portfolio, collective model, Panjer recursion, reinsurance and types of contracts, inclusion of costs, sufficient premium, sufficient actuarial reserves, business plan, profit and contribution formula, profit sharing. (II) Introduction to pension insurance: Model (states and state changes), present values and reserves, methods for financing them. (III) Pension funds. (IV) Introduction to health insurance mathematics (according to life insurance mathematics): claims amount per risk and profiles, reserves, expense loading, conversion of a contract. (V) Unit-linked life insurance contracts: Short introduction to financial mathematics, pricing of unit-linked contracts (under the risk-neutral measure in the Black-Scholes model), Thiele's differential equation for reserves. Stochastic Interest: no principle of diversification.

## Course dates

DayTimeDateLocationDescription
Tue10:45 - 12:0005.10.2010 - 27.01.2011FH Hörsaal 3 - MATH Schmock
Wed10:45 - 12:0006.10.2010 - 27.01.2011FH Hörsaal 3 - MATH Schmock
Tue12:00 - 12:2009.11.2010 - 25.01.2011FH Hörsaal 3 - MATH Ersatz für entfallene Termine
Life and health insurance mathematics - Single appointments
DayDateTimeLocationDescription
Tue05.10.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Wed06.10.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Tue12.10.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Wed13.10.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Wed20.10.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Wed27.10.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Wed03.11.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Tue09.11.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Tue09.11.201012:00 - 12:20FH Hörsaal 3 - MATH Ersatz für entfallene Termine
Wed10.11.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Tue16.11.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Tue16.11.201012:00 - 12:20FH Hörsaal 3 - MATH Ersatz für entfallene Termine
Wed17.11.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Tue23.11.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Tue23.11.201012:00 - 12:20FH Hörsaal 3 - MATH Ersatz für entfallene Termine
Wed24.11.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Tue30.11.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Wed01.12.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Tue07.12.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock
Tue14.12.201010:45 - 12:00FH Hörsaal 3 - MATH Schmock

oral exam

Not necessary

## Curricula

Study CodeObligationSemesterPrecon.Info
033 205 Financial and Actuarial Mathematics Mandatory5. Semester
033 215 Actuarial Mathematics Mandatory5. Semester
066 400 Mathematics Mandatory elective
066 401 Statistics Mandatory elective
066 402 Mathematics in Science and Technology Mandatory elective
066 403 Mathematics in Economics Mandatory elective
066 404 Mathematics in Computer Science Mandatory elective
066 405 Financial and Actuarial Mathematics Mandatory elective
860 Technical Mathematics Mandatory elective
864 Mathematics for Natural Sciences Mandatory elective
866 Economic Mathematics Mandatory elective
867 Statistics Mandatory elective
869 Mathematics in Computer Science Mandatory elective
873 Finance and Actuarial Mathematics Mandatory
873 Finance and Actuarial Mathematics Mandatory

## Literature

- Wolfsdorf: Versicherungsmathematik, Teil 1: Personenversicherung, Teubner, 1997.
- Metzger: Mathematik der Krankenversicherung, Vorlesungsskriptum, 2004.
- Koller: Stochastische Modelle in der Lebensversicherung, Springer, 2000.
Ergänzend:
- Gerber: Life insurance mathematics, Springer, 1997.
- Kainhofer: Einführung in die Finanzmathematik: Diskrete Modelle, Vorlesungsskriptum, TU Wien, 2007.
- Hamke, Rückert: Hedging von fondsgebundneen Lebensversicherungen, Seminararbeit an der Universität Ulm, 2007.
- Kiesel: Financial Methods in Insurance, Course notes, University of Ulm, 2006.

German