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.
Financial Mathematic
| Language of instruction | angličtina, čeština |
|---|---|
| Code | 545-0172 |
| Abbreviation | FM |
| Course title | Financial Mathematic |
| Coordinating department | Department of Economics and Control Systems |
| Course coordinator | RNDr. Radmila Sousedíková, Ph.D. |
Summary
The course is focused on acquiring theoretical knowledge and practical skills in the field of financial mathematics and their application in the analysis of short-term and long-term securities.
After completing the course, the student will achieve the following learning outcomes:
Knowledge: the student characterizes the principles of simple, compound and mixed interest, describes the principles of discounting and their use in financial operations; characterizes the basic types of short-term securities and the principles of their valuation; explains the principle of the present and future value of financial annuity, characterizes the basic properties of bonds and stocks as investment instruments.
Skills: the student applies the principles of simple, compound and mixed interest in solving practical financial problems, analyzes and evaluates short-term securities; calculates the present and future value of annuity and solves various types of problems with annuity; assesses the yield to maturity of a bond and analyzes the development of the share price.
General competencies: the student independently selects an appropriate method of financial mathematics according to the nature of the problem being solved, compares various financial investment options and assesses their economic feasibility, professionally interprets the results of financial calculations and defends the chosen solution.
After completing the course, the student will achieve the following learning outcomes:
Knowledge: the student characterizes the principles of simple, compound and mixed interest, describes the principles of discounting and their use in financial operations; characterizes the basic types of short-term securities and the principles of their valuation; explains the principle of the present and future value of financial annuity, characterizes the basic properties of bonds and stocks as investment instruments.
Skills: the student applies the principles of simple, compound and mixed interest in solving practical financial problems, analyzes and evaluates short-term securities; calculates the present and future value of annuity and solves various types of problems with annuity; assesses the yield to maturity of a bond and analyzes the development of the share price.
General competencies: the student independently selects an appropriate method of financial mathematics according to the nature of the problem being solved, compares various financial investment options and assesses their economic feasibility, professionally interprets the results of financial calculations and defends the chosen solution.
Literature
Doporučená literatura
HASTINGS, Kevin J. Financial mathematics: from discrete to continuous time. Boca Raton: CRC Press, Taylor & Francis Group, 2023. ISBN 978-1-498-78040-7.
FUNIOKOVÁ, Taťána. Introduction to financial mathematics. Ostrava: VŠB-TU Ostrava, 2017. ISBN 978-80-248-4081-9.
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.
FUNIOKOVÁ, Taťána. Introduction to financial mathematics. Ostrava: VŠB-TU Ostrava, 2017. ISBN 978-80-248-4081-9.
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.