OPF:FINBPFPM Finance and Insurance Mathemat - Course Information

FINBPFPM Finance and Insurance Mathematics

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

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

Activity	Difficulty [h]
Ostatní studijní zátěž	76
Přednáška	13
Seminář	26
Zápočet	30
Summary	145

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