Advanced Financial Mathematics

General Information


Tuesdays, 08:30 - 10:00 a.m.
Fridays, 08:30 - 10:00 a.m.

Via Zoom Live Video Conference: Link  (Meeting-ID: 939 2557 0857)

Lecturer: PD Dr. Volkert Paulsen
Assistance: tba

This Master course gives an introduction to financial mathematics in continuous time. Starting with the famous Black-Scholes Model the basic principles for pricing derivatives in financial markets are explained. After introducing resp. repeating some basic knowledge of stochastic analysis a detailed investigation of models driven by a Wiener-process is provided. The therefore needed concepts of no arbitrage, hedging, equivalent martingale measure etc. will be thoroughly introduced and applied to pricing of options and other derivatives. A further main topic is the modelling of Bond markets and the pricing of fixed income securities. Short-rate models as the Vasicek-, CIR and Hull White model together with Libor Market models are presented and analysed.

Some knowledge of stochastic analysis is helpful but not necessary. The course is self-contained. All necessary mathematical tools, in particular a brief introduction into Ito calculus, will be provided in the course.

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Tutorials Weekly exercises will be given and discussed by the lecturer in a separate Zoom meeting.
Examination: A degree relevant examination can be provided by attending the tutorials and taking an oral examination.
The required coursework is fulfilled if a suitable part of the tutorials are solved successfully.