MU:MU24014 Insurance Mathematics - Course Information

MU24014 Insurance Mathematics

Extent and Intensity

2/2/0. 6 credit(s). Type of Completion: zk (examination).

Teacher(s)

doc. RNDr. Karel Hasík, Ph.D. (lecturer)

Guaranteed by

doc. RNDr. Karel Hasík, Ph.D.
Mathematical Institute in Opava

Timetable

Tue 8:05–9:40 20

• Timetable of Seminar Groups:

MU24014/01: Wed 11:25–13:00 20, K. Hasík

Prerequisites (in Czech)

TYP_STUDIA(N)

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Applied Mathematics (programme MU, N1101)
• Mathematical Modelling (programme MU, NMgr-M)

Course objectives

The goal of these lectures is to acquaint the students with basic concepts and techniques of insurance mathematics and to demonstrate their practical use using simple examples.

Syllabus

• 1. Basic principles of actuarial calculations.
  Definition of basic concepts, the principle of equivalence, model- and nonmodel-based approach to the calculation of premiums.
  2. Life insurance - the construction of mortality tables
  3. Life insurance - switching numbers and their use
  4. Life Insurance - insurance coverage depending on the survival of the insured
  5. Life Insurance - insurance coverage depending on the death of the insured
  6. Life insurance - the current premium
  7. Life Insurance - insurance reserves
  8. Life Insurance - stochastic modeling
  9. Life insurance - the premium modeling in VBA
  10. Life insurance - insuring more than one life
  11. Pension insurance
  12. Non-life insurance - calculation of premiums
  13. Non-life insurance - insurance reserves
  14. Non-life insurance - mathematical modeling

Literature

required literature
• A. Olivieri, E. Pitacco. Introduction to Insurance Mathematics, Second Edition. 2015. ISBN 3319213768. info
• PACÁKOVÁ, V. Aplikovaná poistná štatistika. Bratislava, 2000. ISBN 80-8044-073-5. info
• CIPRA, T. Pojistná matematika-teorie a praxe. Praha: EKOPRESS, 1999. ISBN 80-86119-17-3. info
• CIPRA, T. Penzijní pojištění a jeho výpočetní aspekty. Praha: HZ, 1996. ISBN 80-86009-04-1. info

recommended literature
• CIPRA, T. Praktický průvodce finanční a pojistnou matematikou. Praha: HZ, 1995. ISBN 80-901918-0-0. info
• CIPRA, T. Pojistná matematika v praxi. Praha: HZ, 1994. ISBN 80-901495-6-1. info

Language of instruction

Czech

Further comments (probably available only in Czech)

Study Materials
The course can also be completed outside the examination period.

Teacher's information

Conditions for successful completion of the course:
- Active participation in lectures and tutorials,
- Satisfactory completion of the project for tutorials,
- Passing the final oral exam.

• Enrolment Statistics (recent)
  
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