| Course Unit Code | 545-0172/01 |
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| Number of ECTS Credits Allocated | 4 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | Third Year |
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| Semester when the Course Unit is delivered | Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| SOU70 | RNDr. Radmila Sousedíková, Ph.D. |
| Summary |
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| The course is focused on practical application of financial mathematics. The main areas of interest are interest and discounting and their application in investing and analyzing securities. It also focuses on savings and pensions and debt amortization. |
| Learning Outcomes of the Course Unit |
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| Classify different types of interest. Analyze short and long term securities and bank accounts. Clarify the differences in the different repayment methods. Assess the appropriateness of using different approaches to financial mathematics. Evaluate the profitability of investment alternatives. |
| Course Contents |
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1. Simple interest, discount
2. Short-term securities
3. Compound interest
4. Mixed interest
5. Interest rate
6. Investment decisions
7. Skonto
8. Current and overdraft accounts
9. Savings and regular investments
10. Pensions and annuities
11. Loan repayment
12. Bonds
13. Stocks |
| Recommended or Required Reading |
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| Required Reading: |
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CIPRA, Tomáš. Practical guide to financial and insurance mathematics. Jesenice: Ekopress, 2020. ISBN 978-80-87865-67-5.
PETTERS, Arlie O. and Xiaoying DONG. An introduction to mathematical finance with applications: understanding and building financial intuition. Švýcarsko: Springer, 2016. ISBN 978-1-4939-3781-3.
JACQUES, Ian. Mathematics for economics and business. Harlow: Pearson, 2013. ISBN 978-0-273-76356-7.
LOVELOCK, David, Marilou MENDEL and Larry WRIGHT. An introduction to the mathematics of money: saving and investing. New York: Springer, c2010. ISBN 978-1-4419-2232-8. |
RADOVÁ, Jarmila, DVOŘÁK, Petr; MÁLEK, Jiří. Finanční matematika pro každého. Praha: Grada, 2013. ISBN 978-80-247-4831-3.
ŠOBA, Oldřich; ŠIRŮČEK, Martin. Finanční matematika v praxi. Praha: Grada, 2017. ISBN 978-80-271-0250-1.
SIMERSKÁ, Carmen. Finanční matematika. Praha: Vysoká škola chemicko-technologická v Praze, 2014. ISBN 978-80-7080-915-0.
PETTERS, Arlie O.; DONG, Xiaoying. An introduction to mathematical finance with applications: understanding and building financial intuition. Švýcarsko: Springer, 2016. ISBN 978-1-4939-3781-3. |
| Recommended Reading: |
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FUNIOKOVÁ, Taťána. Introduction to financial mathematics. Ostrava: VŠB-TU Ostrava, 2017. ISBN 978-80-248-4081-9.
FRANKE,Jürgen, Wolfgang HÄRDLE and Christian M. HAFNER. Statistics of financial markets: an introduction. Berlin: Springer, 2011. ISBN 978-3-642-16520-7.
HENRY-LABORDERE, Pierre. Analysis, geometry, and modeling in finance: advanced methods in option pricing. Boca Raton: CRC Press, 2009. ISBN 978-1-4200-8699-7.
ROMAN, Steven. Introduction to the mathematics of finance: from risk management to options pricing. New York: Springer, 2004. ISBN 0-387-21364-3. |
CIPRA, Tomáš. Praktický průvodce finanční a pojistnou matematikou. Praha: Ekopress, 2015. ISBN 978-80-87865-18-7.
RADOVÁ, Jarmila. Finanční matematika pro každého: příklady + CD-ROM. Praha, 2011. ISBN 978-80-247-3584-9.
MACHÁČEK Otakar. Finanční a pojistná matematika: úrok a úročení, modely opakovaných plateb, burzovní operace při složeném úročení, pojistné operace. Praha: Prospektrum, 2007. ISBN 978-80-7175-143-4. |
| Planned learning activities and teaching methods |
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| Lectures, Tutorials, Project work |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Graded credit | Graded credit | 100 (100) | 51 |
| semestrální projekt | Semestral project | 30 | 17 |
| písemný test | Written test | 70 | 34 |