MU24014 Insurance Mathematics

Mathematical Institute in Opava
Summer 2019
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Guaranteed by
Mgr. Samuel Joshua Roth, Ph.D.
Mathematical Institute in Opava
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
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.
  • 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
    required literature
  • 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
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
- Active participation in lectures and tutorials,
- seminary paper,
- the oral exam.
The course is also listed under the following terms Summer 2010, Summer 2011, Summer 2012, Summer 2013, Summer 2014, Summer 2015, Summer 2016, Summer 2017, Summer 2018.
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