Course: Investment Mathematics

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Course title Investment Mathematics
Course code UMKM/CIMA
Organizational form of instruction Lecture
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Koudela Libor, Mgr. Ph.D.
Course content
Basic types of investment and investment decision criteria. Short-term and long-term securities. Interest rate. Bond. Yield curves. Spot and forward interest rates. Duration of investment. Matching assets and liabilities. Immunization. Dividend Discount Stock Model, Technical Analysis Stock. Securities Index, Foreign exchange market. Derivatives. Black-Scholes model of option pricing. General portfolio theory. Markowitz portfolio theory. CAPM - Capital Asset Pricing Model. Portfolio diversification.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Work with text (with textbook, with book), Methods of individual activities, Skills training
  • Contact teaching - 14 hours per semester
  • Preparation for an exam - 48 hours per semester
  • Practical training - 26 hours per semester
  • Contact teaching - 26 hours per semester
  • Home preparation for classes - 28 hours per semester
  • Preparation for a credit (assessment) - 50 hours per semester
  • Term paper - 10 hours per semester
Learning outcomes
The aim of the course is develop general knowledge about investment possibilities and be able to solve mathematical calculations in connection with investment decision making and investment risk management
A student who has successfully completed the course can: Explain the interdependence of various investment market factors such as return, risk and liquidity; explain the importance of diversification of investments and be aware of the limits of diversification; characterise short-term and long-term financial market securities and determine their theoretical price; correlate the market price and the theoretical price and describe the reasons for the difference. A student who has successfully completed the course will be able to: apply some of the basic procedures of the field to the extent necessary to solve practical problems in the field; interpret the cash flows associated with an investment in various securities; distinguish between investment returns in a tax and inflation environment; explain the importance of asset pricing models and characterize their limitations. A student who has successfully completed the course is able to: incorporate a consideration of the potential implications of a problem into problem solving; communicate clearly and persuasively to experts and laypersons the nature of technical problems and their own views on their solution.
Prerequisites
Supposes knowledge financial mathematics to the extent of bachelor degree.

Assessment methods and criteria
Written examination, Home assignment evaluation, Didactic test

Assignment - active participation in seminars and elaboration of engaged tasks. Passing written test.
Recommended literature
  • CIPRA, Tomáš. Matematika cenných papírů. Praha, 2013. ISBN 978-80-7431-079-9.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester