Financial Mathematics II
Information about the course
- Girsanov change of measure, martingale representation;
- Continuous-time financial market models: Valuation and
hedging of derivatives in complete and incomplete financial
markets, stochastic volatility;
- Interest rate models: Term structure modeling, interest
rate derivatives, LIBOR market models; (elective)
Type and Prerequisites
- Master Mathematik (optional)
- Master Wirtschaftsmathematik (optional)
- Master Mathematische Biometrie (optional)
- Master of Finance-Major Financial Mathematics (obligatory)
- Master of Finance-Major Financial Economics (optional)
- Master of Finance-Major Actuarial Science (optional)
- Elementary Probability and Measure Theory or Introduction to Measure Theoretic Probability
- Stochastic Analysis
- Recommended: Stochastics II
Time and Venue
- Lecture: Wednesday 8:15-9:45 in He 18 room 1.20 and Friday 12:15-14:00 in He 18 room 1.20
- Exercises: Thursday 10:15-12:00 in He 18 room 1.20
- Tutorial for MSc Finance students Monday 12:15-14:00 He 22 room E.04
Lecture Notes and Exercises
All materials will be available on Moodle.
- Tentative date of the first lecture: 12.06.2019
- Tentative date of the first exercise discussion: 27.06.2019
The course will be taught in the second half of the summer term 2019. It is a (2+1)-course and there will be 4 hours of lecture and 2 hours of exercise every week.
- Bingham, N. H. and Kiesel, R.: Risk-Neutral Valuation: Pricing and Hedging of Financial Derivatives. (Springer) 2nd edn., 2004.
- Karatzas, I. and Shreve, S.: Brownian Motion and Stochastic Calculus. (Springer), 1998.
- Lamberton, D. and Lapeyre, B.: Introduction to stochastic calculus applied to finance. (Chapman & Hall), 2nd edn., 2008.
- Oksendal, B.: Stochastic Differential Equations. (Springer, Berlin), 5th edn., 1998.
- Shiryaev, A.: Essentials of Stochastic Finance. (World Scientifc), 1999.
- Revuz, D. and Yor, M.: Continuous Martingales and Brownian motion. (Springer), 1999.
- Shreve, S.: Stochastic Calculus for Finance II: Continuous-Time Model. (Springer), 2004.
- Steele, M.: Stochastic Calculus with Financial Applications. (Springer), 2001.
You can also find the literature in the Semesterapparat.