CKF_FIMA Financial Mathematics

Faculty of Economics and Administration
Spring 2023
Extent and Intensity
0/0/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
Ing. Luděk Benada, Ph.D. (lecturer)
Guaranteed by
Ing. Luděk Benada, Ph.D.
Department of Finance – Faculty of Economics and Administration
Contact Person: Iva Havlíčková
Supplier department: Department of Finance – Faculty of Economics and Administration
Timetable
Tue 7. 2. 10:00–11:50 S315, 13:00–16:50 S315, Wed 8. 2. 9:00–11:50 S315, 13:00–15:50 S315, Tue 7. 3. 9:00–9:50 S315
Prerequisites
(TYP_STUDIA(C)&&OBOR(FINCP))
Knowledge of high school mathematics. Especially arithmetic operations, logarithmic and exponential equations, arithmetic and geometric series.
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
This course consists of definition of the subject, conceptions and methods, basic maths, which is necessary for understanding and defining models of forming relations of financial mathematics, such as simple and compound interest, short-term and long-term savings, pensions and credits, checking accounts interest and bank overdrafts interest. The course is drawn up to explain fundamental relations and individual expressions for the needs of other courses.

The main objectives of the course are the following:
- understanding fundamentals of financial mathematics, understanding principles of interest, use of interest in fundamental areas of financial mathematics;
- applying acquired knowledge to the related areas which are not discussed within this course.
Learning outcomes
Student will be able to:
- understand and apply the concept of time value of captal;
- make decisions on time-diverging cash flows;
- interpret an informative content of interest rate;
- apply variations of interest calculation: after-term and pre-term (linear, compound, exponetial, combined);
- understand the value of real and nominal capital depending on the form of taxation and price level;
- effectively work with the annuities on which the whole field of finance is based.
Syllabus
  • Thematic plan – lectures:
  • Thematic plan of tutorials:
  • 1. 1st Tutorial: Introduction to interest calculation (basic concept of interest, ahead and after interest, linear, exponential and combined interest calculation and their interdependence, taxation and real interest).
  • 2. 2nd Tutorial: Calculation of annuity with the focus on future value (problematic with interest period, various methods of interest calculation, taxation and real value of capital in the process of saving).
  • 3. 3rd Tutorial: Calculation of annuity with the focus on present value (problematic with interest period, various methods of interest calculation, taxation and real value of capital in the process of annuity payment).
Literature
    required literature
  • Skripta FIMA
  • BUCHANAN, J. Robert. An undergraduate introduction to financial mathematics. 3rd ed. New Jersey: World Scientific, 2012, xviii, 464. ISBN 9789814407441. info
    recommended literature
  • ŠOBA, Oldřich and Martin ŠIRŮČEK. Finanční matematika v praxi. 2., aktualizované a rozší. Praha: Grada Publishing, 2017, 330 stran. ISBN 9788027102501. URL info
    not specified
  • Mathematics of Interest Rates and Finance. Pearson Education Limited, 2014. ISBN 1-292-03983-3. info
  • RADOVÁ, Jarmila, Petr DVOŘÁK and Jiří MÁLEK. Finanční matematika pro každého. 8., rozš. vyd. Praha: Grada, 2013, 304 s. ISBN 9788024748313. URL info
Teaching methods
The course consists of tutorials. The subject of each tutorial is based on the specific topic in the syllabus. The course assumes a high degree of self-study. Teaching is based on the interaction of lecturer and audience, where illustrative examples are solved together.
Assessment methods
The exam is in the written form. The exam will take place during the exam period. The issue of the test corresponds to the content of the tutorials and the mandatory literature, in particular, the electronic script, available in the study materials. To pass the exam a 60 % success rate is required.
The grading scheme used for evaluation of students’ knowledge is the following:
A= 92 – 100 %
B= 84 – 91 %
C= 76 – 83 %
D= 68 – 75 %
E= 60 – 67 %
F= less than 60 %

Any copying, recording or leaking tests, use of unauthorized tools, aids and communication devices, or other disruptions of objectivity of exams (credit tests) will be considered non-compliance with the conditions for course completion as well as a severe violation of the study rules. Consequently, the teacher will finish the exam (credit test) by awarding grade "F" in the Information System, and the Dean will initiate disciplinary proceedings that may result in study termination.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Information on the extent and intensity of the course: tutorial 12 hodin.
The course is also listed under the following terms Spring 2021, Spring 2022.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/econ/spring2023/CKF_FIMA