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105.325
Life and health insurance mathematics
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2008W, 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.
Lecturers
Schmock, Uwe
Institute
E105 Institute of Statistics and Mathematical Methods in Economics
Course dates
Day
Time
Date
Location
Description
Thu
08:30 - 10:00
02.10.2008 - 31.01.2009
FH Hörsaal 2
SCHMOCK
Tue
12:30 - 13:45
07.10.2008 - 31.01.2009
FH Hörsaal 2
SCHMOCK
Show single appointments
Life and health insurance mathematics - Single appointments
F
P
1
2
N
E
Day
Date
Time
Location
Description
Thu
02.10.2008
08:30 - 10:00
FH Hörsaal 2
SCHMOCK
Tue
07.10.2008
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
09.10.2008
08:30 - 10:00
FH Hörsaal 2
SCHMOCK
Tue
14.10.2008
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
16.10.2008
08:30 - 10:00
FH Hörsaal 2
SCHMOCK
Tue
21.10.2008
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
23.10.2008
08:30 - 10:00
FH Hörsaal 2
SCHMOCK
Tue
28.10.2008
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
30.10.2008
08:30 - 10:00
FH Hörsaal 2
SCHMOCK
Tue
04.11.2008
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
06.11.2008
08:30 - 10:00
FH Hörsaal 2
SCHMOCK
Tue
11.11.2008
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
13.11.2008
08:30 - 10:00
FH Hörsaal 2
SCHMOCK
Tue
18.11.2008
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
20.11.2008
08:30 - 10:00
FH Hörsaal 2
SCHMOCK
Tue
25.11.2008
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
27.11.2008
08:30 - 10:00
FH Hörsaal 2
SCHMOCK
Tue
02.12.2008
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
Thu
04.12.2008
08:30 - 10:00
FH Hörsaal 2
SCHMOCK
Tue
09.12.2008
12:30 - 13:45
FH Hörsaal 2
SCHMOCK
F
P
1
2
N
E
Examination modalities
oral exam
Course registration
Not necessary
Curricula
Study Code
Obligation
Semester
Precon.
Info
No records found.
Literature
- Wolfsdorf: Versicherungsmathematik, Teil 1: Personenversicherung, Teubner, 1997. - Metzger: Mathematik der Krankenversicherung, Vorlesungsskriptum, 2004. - Koller: Stochastische Modelle in der Lebensversicherung, Springer, 2000. Supplemental: - 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.
Accompanying courses
105.260 UE Life and health insurance methematics
Language
German