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105.325
Life and health insurance mathematics
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.
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2009W, 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
Kainhofer, Reinhold
Institute
E105 Institute of Statistics and Mathematical Methods in Economics
Course dates
Day
Time
Date
Location
Description
Tue
10:45 - 12:00
06.10.2009 - 28.01.2010
FH Hörsaal 3 - MATH
KAINHOFER
Wed
10:45 - 12:00
07.10.2009 - 28.01.2010
FH Hörsaal 3 - MATH
KAINHOFER
Wed
09:00 - 12:00
09.12.2009
Theresianumgasse HS 1 - MWB
Vortrag Dr. Sorger (ÖPAG)
Show single appointments
Life and health insurance mathematics - Single appointments
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P
1
2
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Day
Date
Time
Location
Description
Tue
06.10.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Wed
07.10.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Tue
13.10.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Wed
14.10.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Tue
20.10.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Wed
21.10.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Tue
27.10.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Wed
28.10.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Tue
03.11.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Wed
04.11.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Tue
10.11.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Wed
11.11.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Tue
17.11.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Wed
18.11.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Tue
24.11.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Wed
25.11.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Tue
01.12.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Wed
02.12.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Tue
08.12.2009
10:45 - 12:00
FH Hörsaal 3 - MATH
KAINHOFER
Wed
09.12.2009
09:00 - 12:00
Theresianumgasse HS 1 - MWB
Vortrag Dr. Sorger (ÖPAG)
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P
1
2
N
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Examination modalities
oral exam
Course registration
Not necessary
Curricula
Study Code
Obligation
Semester
Precon.
Info
033 205 Financial and Actuarial Mathematics
Mandatory
5. Semester
033 215 Actuarial Mathematics
Mandatory
5. 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. 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