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Financial Engineering - course description

General information
Course name Financial Engineering
Course ID 11.5-WK-MATD-IF-W-S14_pNadGen8TFEJ
Faculty Faculty of Mathematics, Computer Science and Econometrics
Field of study Mathematics
Education profile academic
Level of studies Second-cycle studies leading to MS degree
Beginning semester winter term 2019/2020
Course information
Semester 3
ECTS credits to win 8
Course type optional
Teaching language polish
Author of syllabus
  • dr hab. Mariusz Michta, prof. UZ
Classes forms
The class form Hours per semester (full-time) Hours per week (full-time) Hours per semester (part-time) Hours per week (part-time) Form of assignment
Lecture 30 2 - - Exam
Laboratory 15 1 - - Credit with grade
Class 15 1 - - Credit with grade

Aim of the course

After the course the students should have a basic knowladge on capital markets and mathematical methods of pricing selected financial instruments

Prerequisites

Basics of financial mathematics, probability theory, basics of stochastic processes

Scope

1. Basic financial instruments: FORWARD and FUTURES contracts, options.

2. Pricing of basic financial contracts, financial arbitrage.

3. Currency futures conctracts-hedging of currency risk. 

4. Black-Scholes model and arbitrage theory.

5. Self-financing and replicating strategies for financial securities.

6. Black-Scholes differential equation and prices of standard call and put options.

7. Feynmann-Kac formula and its application for option pricing.

8. Girsanov theorem and a martingale method for pricing of financial securities.

9. Pricing of selected exotic options.

Teaching methods

Lectures, exercices and laboratory

Learning outcomes and methods of theirs verification

Outcome description Outcome symbols Methods of verification The class form

Assignment conditions

The final grade consists of the classes grade (30%), the lab’s grade (30%) and the examination’s grade (40%)

Recommended reading

  1. A. N. Shiryaev, Essentials of Stochastic Finance, World Scientific, 1999.
  2. J. Hull, Options, futures and other derivatives, (9th Ed.) Prentice Hall, 2012.
  3. M. Musiela, M. Rutkowski, Martingale Methods in Financial Modelling, Springer, 1997.

Further reading

  1. A. Weron, R. Weron, Inżynieria Finansowa, WNT, Warszawa,1998.
  2. J. Hull, Kontrakty Terminowe i Opcje.Wprowadzenie, WIG-press, Warszawa, 1997.
  3. J. Jakubowski, A. Palczewski, M. Rutkowski, L. Stettner, Matematyka Finansowa, Instrumenty Pochodne, WNT, Warszawa, 2003.

Notes


Modified by dr Robert Dylewski, prof. UZ (last modification: 20-09-2019 11:36)