FIUBPFPM Finance and Insurance Mathematics

School of Business Administration in Karvina
Winter 2014
Extent and Intensity
1/2/0. 5 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. Ing. Petra Růčková, Ph.D. (lecturer)
doc. Ing. Petra Růčková, Ph.D. (seminar tutor)
Guaranteed by
doc. Ing. Petra Růčková, Ph.D.
Department of Finance and Accounting – School of Business Administration in Karvina
Contact Person: Ing. Irena Szarowská, Ph.D., MPA
Prerequisites
None
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
  • Banking (programme OPF, B_HOSPOL)
Course objectives
The aim of this course is to familiarize students with mathematical applications in finance and insurance. The main operations are included in this course, namely operations related to the possibilities of using mathematics to simple and compound interest, savings, pension calculations, calculation of the present value of stocks and bonds, as well as the possibility of using mathematics in determining the amount of insurance in both life and non-life insurance, including the establishment of technical provisions. It is shown how financial and actuarial mathematics enters into interaction with mathematical economics, econometrics and mathematical and economic statistics
Syllabus
  • 1. Basic concepts of financial and actuarial
    2. Simple interest
    3. Short-term securities
    4. Compound interest
    5. Interest rates
    6. Long-term securities
    7. Saving
    8. Pensions
    9. Models recurring payments
    10. Risk in financial mathematics
    11. Life insurance
    12. Non-life insurance
    13. Health and pension insurance
Literature
    required literature
  • OLIVIERI, A., PITACCO, E. Introduction to Insurance Mathematics. Technical and Financial Features of Risk Transfers. Berlin, 2011. ISBN 978-3-642-16029-5. info
  • CAPINSKI, M., ZASTAWNIAK, T. Mathematics for Finance: An Introduction to Financial Engineering. Berlin, 2010. ISBN 978-0857290816. info
  • REJDA, G.E. Principles of Risk Management and Insurance. New Jersey, 2010. ISBN 978-0136117025. info
  • RADOVÁ, J., DVOŘÁK, P., MÁLEK, J. Finanční matematika pro každého. Praha : GRADA Publishing, 2009. ISBN 978-80-247-3291-6. info
  • HAEUSSLER, E.F, PAUL, R.S., WOOD, R.J. Introductory mathematical analysis for business, economics, and the life and social sciences. Upper Saddle River, 2008. ISBN 978-0-13-242435-6. info
  • CIPRA, T. Pojistná matematika: teorie a praxe. Praha: EKOPRESS, 2006. ISBN 80-86929-11-6. info
  • CIPRA, T. Praktický průvodce finanční a pojistnou matematikou. Praha: Ekopress, 2005. ISBN 80-86119-91-2. info
    recommended literature
  • CIPRA, T. Finanční a pojistné vzorce. Praha: GRADA Publishing, 2006. ISBN 80-247-1633-X. info
  • ŠLECHTOVÁ, J. Finanční a pojistná matematika. Karviná SU OPF, 2005. ISBN 80-7248-336-6. info
  • RADOVÁ, J., CHÝNA, V., MÁLEK, J. Finanční matematika v příkladech. Praha: Professional Publishing,, 2005. ISBN 80-86419-97-5. info
  • DUCHÁČKOVÁ, E. Principy pojištění a pojišťovnictví. Praha: Ekopress, 2003. ISBN 80-86119-67-X. info
  • SEKERKA, B. Matematické a statistické metody ve financování, cenných papírech a pojištění. Praha: Profess consulting, 2002. ISBN 80-7259-031-5. info
Teaching methods
Skills demonstration
Seminar classes
Assessment methods
Written exam
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
Attendance in seminars 25%, 2x ongoing test, course credit test
ActivityDifficulty [h]
Ostatní studijní zátěž76
Přednáška13
Seminář26
Zápočet30
Summary145
The course is also listed under the following terms Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2020, Winter 2021, Winter 2022, Winter 2023, Winter 2024.
  • Enrolment Statistics (Winter 2014, recent)
  • Permalink: https://is.slu.cz/course/opf/winter2014/FIUBPFPM