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105.046
Advanced life insurance mathematics
2012S
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2008S, VU, 4.0h, 6.0EC
Properties
Semester hours: 4.0
Credits: 6.0
Type: VU Lecture and Exercise
Aim of course
Introduction to modern and practically relevant methods of life insurance mathematics with emphasis on the Markovian model, stochastic interest and unit-linked policies.
Subject of course
Types of life insurance, general model for life insurance, Markov chains with countable state space, Chapman-Kolmogorov equations, Markovian jump processes, forward and backward differential equations, interest as stochastic variable, deterministic and stochastic cash flows, single premiums, premium reserves, Thiele's differential equation for premium reserves, differential equation for higher moments, distribution function of the premium reserves, examples and problems coming from practice (payments during the year, guaranteed annuities, premium refund, pure endowments with stochastic interest, disability insurance), Hattendorff's theorem, unit-linked policies is a discrete and continuous-time financial market model, Black-Scholes formula, life insurance with stochastic interest, stochastic interest rate models, technical analysis (profit testing, embedded value)
Lecturers
Schachermayer, Walter
Maresch, Gabriel
Institute
E105 Institute of Statistics and Mathematical Methods in Economics
Course dates
Day
Time
Date
Location
Description
Wed
15:00 - 19:00
05.03.2008 - 30.06.2008
Sem.R. DA grün 06A
SCHACHERMAYER
Show single appointments
Advanced life insurance mathematics - Single appointments
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P
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Day
Date
Time
Location
Description
Wed
05.03.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
12.03.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
19.03.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
26.03.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
02.04.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
09.04.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
16.04.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
23.04.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
30.04.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
07.05.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
14.05.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
21.05.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
28.05.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
04.06.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
11.06.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
18.06.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
Wed
25.06.2008
15:00 - 19:00
Sem.R. DA grün 06A
SCHACHERMAYER
F
P
1
N
E
Examination modalities
written and oral examination
Course registration
Not necessary
Curricula
Study Code
Obligation
Semester
Precon.
Info
No records found.
Literature
Michael Koller
: Stochastische Modelle in der Lebensversicherung, Springer-Verlag (2000) Exercise sheets for the course:
http://www.fam.tuwien.ac.at/~gab/
Language
German