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Lecturer(s)
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Gangur Mikuláš, Doc. RNDr. Ph.D.
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Svoboda Milan, Ing. Mgr. Ph.D.
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Brčák Jan, Ing.
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Course content
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The introduce to course. Simple interest, simple discount, time value of money. Compound interest, compound discount, other type of interest. Annuities. Ordinary annuity. General annuities and other annuities. Amortization. Projects evaluation. Products of short-term markets. Insurance calculations. Additional information for the students of combined form of study is on the Courseware.
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Learning activities and teaching methods
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Lecture with practical applications, E-learning, Discussion, Students' portfolio, Individual study
- Presentation preparation (report) (1-10)
- 1 hour per semester
- Contact hours
- 39 hours per semester
- Preparation for comprehensive test (10-40)
- 10 hours per semester
- Preparation for an examination (30-60)
- 30 hours per semester
- unspecified
- 26 hours per semester
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| prerequisite |
|---|
| Knowledge |
|---|
| use commonly used elementary math operations, math power, exponential and logarithmic functions |
| solve power, exponential and logarithmic equations |
| use elementary iterative methods (splitting of interval, linear interpolating) for nonlinear equation root determination |
| Skills |
|---|
| modify alcebraic expression |
| solve linear, quadratic, exponencial and logaritmic equations |
| solve equations with help of basic numerical iteration methods |
| operate basics in MS Excel |
| Competences |
|---|
| N/A |
| N/A |
| N/A |
| N/A |
| N/A |
| learning outcomes |
|---|
| Knowledge |
|---|
| se orientation in the basic calculations calculations and quantitative methods in finance and insurance |
| apply methods and calculations in solving of practical problems in finance and insurance |
| evaluate, compare and select the suitable products of shot-term money market and in the insurance area |
| Skills |
|---|
| evaluate the capital value of different type of compounding and dicounting |
| evaluate anuity according to time value |
| assembly amortization plan with respect to different criteria |
| assembly cash flow of project, select suitable criteria, evaluate project |
| determine insurance premium iwith help of insurance-mathematical principles |
| Competences |
|---|
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| E-learning |
| Individual study |
| Students' portfolio |
| Interactive lecture |
| Discussion |
| Lecture with visual aids |
| Skills |
|---|
| Practicum |
| E-learning |
| Individual study |
| Discussion |
| Competences |
|---|
| E-learning |
| Discussion |
| Individual study |
| assessment methods |
|---|
| Knowledge |
|---|
| Written exam |
| Portfolio |
| Seminar work |
| Individual presentation at a seminar |
| Skills |
|---|
| Skills demonstration during practicum |
| Portfolio |
| Practical exam |
| Competences |
|---|
| Practical exam |
| Portfolio |
| Skills demonstration during practicum |
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Recommended literature
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CIPRA, T. Praktický průvodce finanční a pojistnou matematikou. Praha : Ekopress, 2005. ISBN 80-86119-91-2.
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Cipra, Tomáš. Pojistná matematika. 1. vydání. Praha : Ekopress, 1999. ISBN 80-86119-17-3.
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GROB, H. L., EVERDING, D. Finanzmathematik mit dem PC. [1. Aufl.]. Wiesbaden : Gabler, 1992. ISBN 3-409-12900-6.
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Macháček, Otakar. Finanční a pojistná matematika : úrok a úročení, modely opakovaných plateb, burzovní operace při složeném úročení,pojistné operace. 1. vyd. Praha : Prospektrum, 1995. ISBN 80-7175-035-2.
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Radová, Jarmila; Dvořák, Petr,; Málek, Jiří. Finanční matematika pro každého. 7., aktualiz. vyd. Praha : Grada, 2009. ISBN 978-80-247-3291-6.
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ZIMA, P., BROWN, R. L. Shaum's outline of theory and problems of mathematics of finance. 2nd ed. New York : McGraw-Hill, 1996. ISBN 0-07-008203-0.
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