Магистратура
2026/2027




Производные финансовые инструменты
ID 977127
Статус:
Курс по выбору (Финансовая экономика)
Кто читает:
Международный институт экономики и финансов
Где читается:
Международный институт экономики и финансов
Когда читается:
2-й курс, 2 модуль
Охват аудитории:
для своего кампуса
Преподаватели:
Гордеев Иван Михайлович
Язык:
английский
Кредиты:
3
Контактные часы:
36
Course Syllabus
Abstract
Prerequisites: Financial Economics I, Intermediate Calculus, Probability Theory, Mathematical Statistics. Basic skills of Python programming are welcomed. The course examines fundamental topics and approaches in derivative pricing. It is quantitatively oriented and requires background in calculus and statistics. Derivative financial instruments are those instruments whose value is “derived” from the value of some underlying asset or assets. Our goal is to learn how to price such instruments using a no-arbitrage principle, and how to hedge them. The course will be particularly relevant to students interested in financial markets, securities trading and structured products development involving derivatives. The course is based on lectures, seminars, team work and self-study.
Learning Objectives
- The objective of the course is to undertake a rigorous study of derivative financial instruments.
Expected Learning Outcomes
- practical approaches to derivatives valuation, hedging strategies
- distinguishing between main derivative instruments and different types of options
- finding an option price through binomial pricing
- finding an option price using Black-Scholes approach
- finding an option price under multiple sources of uncertainty
- applying structural and reduced-form approach to credit risk modelling to calculate default probabilities
- constructing a replicating portfolio
- constructing swap contract for a given position of a firm
- calculating returns on particular structured products
- bond hedging with bond futures
- finding an option price using numerical solutions
Course Contents
- Futures, forwards, swaps
- Options. Binomial trees. European and American options.
- Options. Continuous time. Ito's lemma. Black-Scholes-Merton formula.
- Futures options. Greeks. Hedging using derivatives. Volatility smiles.
- Exotic options. Monte-Carlo. Binomial trees.
- Interest rate derivatives.
- Real options.
Interim Assessment
- 2026/2027 2nd module0.7 * Exam + 0.15 * home assignment 1 + 0.15 * home assignment 2
Bibliography
Recommended Core Bibliography
- Options, futures, and other derivatives, Hull, J. C., 2009
Recommended Additional Bibliography
- Paul Wilmott on Quantitative Finance. Vol. 1: ., Wilmott, P., 2018
- Paul Wilmott on Quantitative Finance. Vol. 2: ., Wilmott, P., 2018
- Paul Wilmott on Quantitative Finance. Vol. 3: ., Wilmott, P., 2018