SubjectsSubjects(version: 928)
Course, academic year 2019/2020
Financial Mathematics - N413017
Title: Finanční matematika
Guaranteed by: Department of Mathematics (413)
Faculty: Faculty of Chemical Engineering
Actual: from 2019 to 2020
Semester: summer
Points: summer s.:3
E-Credits: summer s.:3
Examination process: summer s.:
Hours per week, examination: summer s.:2/1, MC [HT]
Capacity: unknown / unknown (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
Is provided by: B413010
For type:  
Additional information:
Guarantor: Simerská Carmen doc. RNDr. CSc.
Class: Předměty pro matematiku
Is interchangeable with: B413010
Examination dates   Schedule   
Annotation -
Last update: Simerská Carmen doc. RNDr. CSc. (02.12.2005)
The semestral course presents the basic mathematics needed to understand financial transactions and investments. At the same time, it opens the door to understanding of basic notions in the world of finance and prepares for dealing with financial decisions and investments. As a prerequisite, students should have a one-semester Calculus course. This course is intended also for students majoring in non-economic fields.
Aim of the course -
Last update: Simerská Carmen doc. RNDr. CSc. (01.08.2013)

Students will be able to:

  • -use mathematical methods and derive formulas for financial calculations
  • -know the nature of financial transactions and investments
  • -orientate themselves in financial decision making
  • -govern the financial functions in Excel when solving financial problems.

Literature -
Last update: Simerská Carmen doc. RNDr. CSc. (22.04.2015)

Z: Simerská C., Finanční matematika, skripta, VŠCHT Praha, 2014, ISBN 978-80-7080-915-0

R: Radová J., Dvořák P., Málek J., Finanční matematika pro každého, Grada, 2005,ISBN 80-247-1230-X

R: Cipra T., Praktický průvodce finanční a pojistnou matematikou, EKOPRESS, 2005, ISBN 80-86119-91-2

A: M. Capinski, T. Zastawniak, Mathematics for Finance : An Introduction to Financial Engineering. Springer-Verlag, 2003, ISBN 1852333308

A: S. G. Kellison, The theory of interest, 3rd ed., McGraw-Hill, 2009. ISBN 978-007-127627-6.

Learning resources -
Last update: Simerská Carmen doc. RNDr. CSc. (29.08.2013)

sample test:

Syllabus -
Last update: Simerská Carmen doc. RNDr. CSc. (18.02.2015)

1. Basic Notions. Present value of money.

2. Simple Interest, Discount. Acumulation function.

3. Compound and Continuous Interest. Efective Interest.

4. Risk and Risk-free Assets.

5. Examples of financial products.

6. A Simple Market Model, Arbitrage.

7. Financial derivatives. Forward.

8. Option. Black-Scholes Model.

9. Inflation.

10. Investments Decision. PV, IRR.

11. Cash Flows, RPSN number.

12. Annuities, Mortgage.

13. Bonds, Yield. Term Structure.

14. Duration.

Registration requirements -
Last update: Simerská Carmen doc. RNDr. CSc. (01.08.2013)

Mathematics I

Teaching methods
Activity Credits Hours
Účast na přednáškách 1 28
Příprava na přednášky, semináře, laboratoře, exkurzi nebo praxi 1 28
Příprava na zkoušku a její absolvování 0.5 14
Účast na seminářích 0.5 14
3 / 3 84 / 84
Coursework assessment
Form Significance
Regular attendance 20
Report from individual projects 10
Examination test 70