SubjectsSubjects(version: 875)
Course, academic year 2019/2020
Financial Mathematics - B413010
Title: Finanční matematika
Guaranteed by: Department of Mathematics (413)
Actual: from 2019
Semester: summer
Points: summer s.:3
E-Credits: summer s.:3
Examination process: summer s.:
Hours per week, examination: summer s.:2/1 MC [hours/week]
Capacity: unlimited / unlimited (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
For type:  
Additional information:
Note: course can be enrolled in outside the study plan
enabled for web enrollment
Guarantor: Simerská Carmen doc. RNDr. CSc.
Pavlíková Pavla RNDr. Ph.D.
Class: Předměty pro matematiku
Interchangeability : N413017
This subject contains the following additional online materials
Annotation -
Last update: Kubová Petra Ing. (01.05.2019)
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: Kubová Petra Ing. (01.05.2019)

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: Kubová Petra Ing. (01.05.2019)

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: Kubová Petra Ing. (01.05.2019)

sample test:

Syllabus -
Last update: Kubová Petra Ing. (01.05.2019)

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: Kubová Petra Ing. (01.05.2019)

Mathematics I