| Course Unit Code | 545-0396/03 |
|---|
| Number of ECTS Credits Allocated | 5 ECTS credits |
|---|
| Type of Course Unit * | Choice-compulsory |
|---|
| Level of Course Unit * | Second Cycle |
|---|
| Year of Study * | Second Year |
|---|
| Semester when the Course Unit is delivered | Winter Semester |
|---|
| Mode of Delivery | Face-to-face |
|---|
| Language of Instruction | Czech |
|---|
| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
|---|
| Name of Lecturer(s) | Personal ID | Name |
|---|
| KOZ99 | doc. Ing. Roman Kozel, Ph.D. |
| ROL74 | Ing. Markéta Laštůvková, Ph.D. |
| Summary |
|---|
The subject concerns fundamentals of mathematics of finance and insurance,
i.e. simple interest and discount and their application to short-term security analysis, compound interest, annuities, debt amortization, bond and stock analysis and life insurance theory and calculation.
|
| Learning Outcomes of the Course Unit |
|---|
| Analysing short-term and long-term securities and bank accounts, and evaluating their return; assessing insurance products using actuarial mathematics. |
| Course Contents |
|---|
1 Simple interest, discount
2 Bill
3 Treasury bill, certificate of deposit
4 Current account, current account credit, discount for prepayment
5 Compound interest, nominal and effective interest rate
6 Combination of simple a compound interest, continuous compounding, real interest rate
7 Annuities, types of annuities, present and future value of annuity
8 Debt amortization
9 Bond analysis
10 Stock analysis
11 Life insurance, life table
12 Life insurance calculation
|
| Recommended or Required Reading |
|---|
| Required Reading: |
|---|
| LOVELOCK, D., M, MENDEL and A. L. WRIGHT. An Introduction to the Mathematics of Money: Saving and Investing. New York: Springer, 2010. 300 p. ISBN 978-1441922328. |
CIPRA, Tomáš. Praktický průvodce finanční a pojistnou matematikou. 3. vyd. Praha: Ekopress, 2015. 308 s. ISBN 978-80-87865-18-7.
RADOVÁ, J., P. DVOŘÁK, a J. MÁLEK. Finanční matematika pro každého. 8. rozš. vyd. Praha: Grada, 2013. 304 s. ISBN 978-80-247-4831-3.
|
| Recommended Reading: |
|---|
| GARRETT, S. J. An Introduction to the Mathematics of Finance: A Deterministik Approach. 2nd ed. Oxford: Butterworth-Heinemann, 2013. 464 p. ISBN 978-0080982403. |
MACHÁČEK Otakar. Finanční a pojistná matematika: úrok a úročení, modely opakovaných plateb, burzovní operace při složeném úročení, pojistné operace. 3. dopl. vyd. Praha: Prospektrum, 2007. 213 s. ISBN 978-80-7175-143-4.
RADOVÁ , J., V. CHÝNA a J. MÁLEK. Finanční matematika v příkladech. Praha: Professional, 2005. 160 s. ISBN 80-86419-86-X.
ŠOBA ,O., M. ŠIRŮČEK a R. PTÁČEK. Finanční matematika v praxi. Praha: Grada, 2013. 300 s. ISBN 978-80-247-4636-4.
|
| Planned learning activities and teaching methods |
|---|
| Lectures, Tutorials, Project work, Terrain work |
| Assesment methods and criteria |
|---|
| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
|---|
| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 45 (45) | 25 |
| Semestrální projekt | Semestral project | 45 | 25 |
| Examination | Examination | 55 (55) | 26 |
| Písemná zkouška | Written examination | 30 | 14 |
| Ústní zkouška | Oral examination | 25 | 12 |