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Last update: T_KPMS (14.05.2013)
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Last update: T_KPMS (14.05.2013)
The goal of the course is to provide an introduction to practical and theoretical aspects of financial derivatives with minimal assumptions in the area of mathematical calculus, statistics, and probability theory. |
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Last update: prof. RNDr. Jiří Witzany, Ph.D. (30.10.2019)
Project solution, midterm test, final test. |
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Last update: prof. RNDr. Jiří Witzany, Ph.D. (11.12.2020)
Základní/Required: Witzany, J.: Derivatives – Theory and Practice of Trading, Valuation, and Risk Management. Springer Texts in Business and Economics, ISBN 978-3-030-51750-2, 2020 p. 376
Doplňková/Optional: Witzany, J.: Financial Derivatives - Valuation , Hedging and Risk Management, 2013, Oeconomica Hull, John C.: Options, Futures, and Other Derivatives, 2015, 9th edition, Pearson Paul Wilmott: Paul Wilmott on Quantitative Finance, 2006, Wiley Steven E. Shreve: Stochastic Calculus for Finance I,II, 2004-5,Springer Witzany, Jiří: Credit Risk Management: Pricing, Measurement, and Modeling. Springer, ISBN 978-3-319-49799-0, 2017, p. 256 Dvořák, Petr.: Deriváty, 2006, Oeconomica Witzany, Jiří: International Financial Markets, 2007, Oeconomica Cipra, Tomáš: Matematika cenných papírů, 2013, Professional Publishing
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Last update: T_KPMS (14.05.2013)
Lecture. |
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Last update: prof. RNDr. Jiří Witzany, Ph.D. (30.10.2019)
The final grade is based on the total score from a project assignment, midterm and final test. The midterm test comprises from 4-5 computational problems and theoretical questions based on the topics covered in the course before the test. The final test will have 6-8 computational problems and theoretical questions. The weight of the final will be at least 50%. The midterm test can be excused and in this case the final score is calculated proportionately just based on the final test and the midterm test. The standard cutoffs for the grades 1,2,3 are 90%, 75%, and 60%, and can be modified by the lecturer. The final test can be exceptionally retaken if agreed with the lecturer. |
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Last update: T_KPMS (14.05.2013)
Introduction to standard and non-standard methods for stochastic modeling of financial processes. Risk-neutral pricing. Change of numeraire and the equivalent martingale measure. Applications on valuation of selected exotic derivatives. Interest rate modeling and valuation of interest rate derivatives. Calibration of models - numerical estimations of volatilities and correlations. Credit risk modeling and credit derivatives.
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Last update: RNDr. Jitka Zichová, Dr. (15.05.2020)
Theory of probability (Bachelor’s degree level), foundations of financial mathematics (interest rates, discounting, yield curve, exchange rates) and financial markets (basic instruments). |