Course: Financial Mathematics

« Back
Course title Financial Mathematics
Course code KMI/FINMA
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study 2
Semester Summer
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Chládek Petr, Mgr. Ph.D.
  • Berková Ilona, Ing. Ph.D.
  • Šulista Marek, PhDr. Ph.D.
Course content
1) Basic terminology, percentage, progressions. 2) Simple interest, bank discount, term standards. 3) Compound and continuous interest, combination of simple and continuous interest. 4) Inflation, real and effective annual interest rate. 5) Time value of money, cash-flow system. 6) Saving models. 7) Debt redemption, APR. 8) Complex saving models. 9) Depreciation of assets. 10) Modelling of bank products in MS Excel. 11) Portfolio, yield measurement. 12) Risk measurement. 13) Random interest rate.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), E-learning
  • Preparation for classes - 28 hours per semester
  • Preparation for credit - 58 hours per semester
  • Class attendance - 42 hours per semester
  • Preparation for exam - 28 hours per semester
Learning outcomes
The course introduces to the basic terminology, principles and calculating operations of financial mathematics and their applications in concrete problems. The course covers the key topics such as time value of money, simple and compound interest, regular payments - annuities and loan redemption, and yield and risk measurements of portfolio. Moreover, another aim of the course is to introduce to the use of MS Excel in modelling building society savings, amortisation mortgage schedules, calculation of APR etc.
Students understand the basic principles of financial mathematics, they are able to compare various financial products and to use effectively the relevant software in their financial computation.
Prerequisites
Prerequisites:Theory of Probability and Statistics 1 (TPS1, TPS1A)
KMI/CM1
----- or -----
KMI/KMATA
----- or -----
KMI/KMATI
----- or -----
KMI/MATEA
----- or -----
KMI/MATI
----- or -----
KMI/MATIA
----- or -----
KMI/M1
----- or -----
KMI/M1A
----- or -----
KMI/YMATI and KMI/CM1
----- or -----
KMI/KMATA
----- or -----
KMI/KMATI
----- or -----
KMI/MATI
----- or -----
KMI/MATIA
----- or -----
KMI/M1
----- or -----
KMI/M1A
----- or -----
KMI/YMATI

Assessment methods and criteria
Combined exam

Zápočet: 2 written tests (calculator) Examination: written (computer)
Recommended literature
  • http://www2.ef.jcu.cz/~sulista/pages/index.php?pagename=fpmat.
  • Šulista, M., Nýdl, V., Moore, G. A. Introduction to Financial and Actuarial Mathematics. EF JU České Budějovice, 157 s., 2008. ISBN 978-80-7394-127-7.
  • Zima, P., Brown, L. R. Schaum's Outline of Theory and Problems of Mathematics of Finance. McGraw-Hill Companies, Inc., New York, 2. ed., 1996. ISBN 0-07-008203-0.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Economics Study plan (Version): Accounting and Financial Management (4) Category: Economy 2 Recommended year of study:2, Recommended semester: Summer