Course: Financial Mathematics

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Course title Financial Mathematics
Course code KMI/KFINM
Organizational form of instruction Lecture
Level of course Bachelor
Year of study not specified
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, percentages, means, progressions. (2) Simple interest and bank discount, standards of interest calculations. (3) Compound and continuous interest. (4) Inflation, real and effective interest rate. (5) Time value of money, system of cash flows. (6) Annuities - saving redemption. (7) Annuities - loan redemption. (8) Complex savings models. (9) Depreciation of assets. (10) Modelling of basic bank products in Excel. (11) Portfolio, performance measuring. (12) Volatility measuring. (13) Random interest.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), E-learning
  • Class attendance - 18 hours per semester
  • Preparation for credit - 56 hours per semester
  • Preparation for classes - 49 hours per semester
  • Preparation for exam - 45 hours per semester
Learning outcomes
The aim of the course of Financial and Actuarial Mathematics is to introduce students to the basic terminology, models, principles, and mathematical calculations of financial mathematics and their applications in concrete financial problems.
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: KMI/KTPS1 nebo KMI/KPS1A Teorie pravděpodobnosti a statistika 1 Equivalence: KMI/KFNMA Financial Mathematics
KMI/CM1
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KMI/KMATA
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KMI/KMATI
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KMI/MATI
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KMI/MATIA
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KMI/M1
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KMI/M1A
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KMI/YMATI

Assessment methods and criteria
Combined exam

Credit Requirements: Examination Requirements: Calculation of two financial problems using MS Excel. Final mark is based on the results of the credit tests and the final examination.
Recommended literature
  • http://www2.ef.jcu.cz/~sulista/pages/index.php?pagename=fpmat.
  • Cipra, T. Praktický průvodce finanční a pojistnou matematikou. Praha: Ekopress,s.r.o., 2005..
  • RADOVÁ, J. - DVOŘÁK, P. Finanční matematika pro každého. Praha: Grada Publishing, 2001.
  • ŠULISTA, M. - NÝDL, V. - MOORE, G. Introduction to Financial and Actuarial Mathematics. EF JU České Budějovice, 2006.
  • ZIMA, P. - BROWN L., R. Schaum's Outline of Theory and Problems of Mathematics of Finance. New York: McGraw-Hill Companies, Inc., 1996.


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): Financial and Insurance Mathematics (4) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Economics Study plan (Version): Accounting and Financial Management (4) Category: Economy 2 Recommended year of study:2, Recommended semester: Summer