University of Liege | Version française
Study programmes 2007-2008Last update : 7/05/2008
GEST0125-1  Actuarial Insurance Theory
Duration :  45h Th
Credits/ECTS :  
management engineering, 3rd yearDeuxième quadrimestre5
Master in management sciences, specialised approach, 2nd year5,5
Holder(s) :  N...
Substitute(s) :  André Rochez, Louis Esch
Language :  Langue française
Course contents :  1. Life insurances

- Some history (actuariat, various insurance techniques)
- The market of life insurance (economic significance, investments, employment, etc.) - Law of large numbers and insurances
- Definition of life insurance products
- Technical bases (capitalisation, mortality tables, etc.).
- Estimation of premiums for major products
- Loading of premiums
- Mathematical reserves and provisions
- Financing old-age pensions: capitalisation and distribution
- Companies' pension plans (collective capitalisation)
- Practical cases

2. Non-life insurances: Risk theory

- Probability theory (reminder)
- Risk process
o Individual model
o Collective model
- Ruin probability
- Premium principles
o Based on ruin probabilities
o Based on risk
o Notion of credibility
- Reinsurance
Course objective :  - Locate insurances in their economic context
- Know about the various life insurances and their respective utility
- Analyse premiums of life insurance products (premium, provisions, etc.)
- Model major non life insurance principles
- Introduce reinsurance principles
Prerequisites :  Mathematics (Progressions, integral and differential calculus) - Probability theory
Organization :  Ex-cathedra lectures with practical illustrations
Written notes :  Syllabus For the section of the course on life insurances

Reference works (for other insurances)
ASMUSSEN S., Ruin probabilities, World Scientific, 2000.
BEARD R.E., PENTIKAINEN T., PESONEN E., Risk Theory, Chapmann and Hall, 1984.
BUHLMANN H., Mathematical methods in risk theory, Springer-Verlag, 1970.
COUILBAULT F., ELIASHBERG C., LATRASSE M., Les grands principes de l'assurance, L'Argus, 2002.
GERBER H.U., An introduction to mathematical risk theory, S.S. Huebner Foundation for Insurance Education, University of Pennsylvania, 1979.
GRANDELL J., Aspects of risk theory, Springer-Verlag, 1991.
KAAS R., GOOVAERTS M., DHAENE J., DENUIT M., Modern actuarial risk theory, Kluwers Academic Publishers, 2001.
Assessment :  1st and 2nd session: Oral examination (based on a written preparation) on reading comprehension and a sound assimilation of methods.
Contacts :  Professors

Louis Esch
HEC-School of Management (building N1)
Tél. : 04/232.73.00
e-mail : louis.esch@ulg.ac.be

André Rochez
e-mail : Andre.Rochez@solvay.com


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