Course: Actuarial Mathematics

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Course title Actuarial Mathematics
Course code UMKM/PPMA
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Winter and summer
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
  • Sekerka Bohuslav, prof. RNDr. CSc.
  • Jindrová Pavla, Mgr. Ph.D.
Course content
Mortality tables. Actuarial mathematic calculations in life insurance. Premium, insurance reserves in life insurance. Tariff groups and basic indicators in general insurance. Damage tables and exclusion plan of the damage status. Premium, insurance reserves and its time resolution. Participation, bonuses and extra premiums Principles of placing insurance technical reserves. Individual and collective hazards. Dynamic models of reserves, theory of ruining. Pension scheme, health insurance. Reinsurance, classification of reinsurance, proportional and unproportional reinsurance.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book)
Learning outcomes
The aim of the course is to acquaint the students with the picture of actuarial mathematics and provide them with basic knowledge and methods of this discipline. The accent is put on the ability to use acquired knowledge in different areas of the insurance theory and practice.
Students will be able to use acquired knowledge not only in the system of insurance but also in other related disciplines, they will formulate alternate approaches, select appropriate methods and suitably present the solution and defend it with necessary arguments.

Assessment methods and criteria
Oral examination, Written examination, Student performance assessment

The examination is written, eventually oral.
Recommended literature
  • Stochastic Modeling: Theory and reality from an actuarial perspective.. Ottawa: Association Actuarielle Internationale, 2010.
  • CIPRA, T.:. Finanční a pojistné vzorce. Praha: Grada Publishing, 2006.
  • Cipra, Tomáš. Kapitálová přiměřenost ve financích a solventnost v pojišťovnictví. Praha: Ekopress, 2002. ISBN 80-86119-54-8.
  • Cipra, Tomáš. Pojistná matematika : teorie a praxe. Praha: Ekopress, 2006. ISBN 80-86929-11-6.
  • DICKSON, D. C. M., HARDY, M. R., WATERS, H. R. Actuarial Mathematics for Life Contingent Risks. Cambridge: Cambridge University Press, 2009.
  • LIN, X. Introductory stochastic analysis for finance and insurance.. Hoboken: Wiley-Interscience, 2006.
  • SAKÁLOVÁ, K. Aktuárské analýzy.. Bratislava: Vydavatelství EKONOM., 2006.
  • SAKÁLOVÁ, K. Oceňovanie produktov v životnom poistení.. Bratislava: Vydavatelství EKONOM, 2001.
  • SEKERKA, B.:. Matematické a statistické metody ve financování, cenných papírech a pojišťovnictví. Praha: Profess Consulting, 2002. ISBN 8072590316.

Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Economics and Administration Insurance Engineering (2014) Economy 2 Winter
Faculty of Economics and Administration Insurance Engineering (2014) Economy 2 Winter
Faculty of Economics and Administration Insurance Engineering (2013) Economy 1 Summer