Oberwolfach-Seminar

Stochastic Modelling and Statistics in Finance; with Applications

October 19 - 25, 2003


Organizers:
Ole E. Barndorff-Nielsen, Aarhus
Friedrich Hubalek, Vienna
Neil Shephard, Oxford
Jeannette H.C. Woerner, Oxford

Subjects:
Recent developments in mathematical finance, connected to the much improved access to data from the financial markets and to the widely recognised shortcomings of the initially proposed models for the movements of financial series, has led to a strong emphasis on more realistic modelling. The lectures will discuss some of the ensuing mathematical results, their empirical background, and various applications.

Additional Lectures:
Ernst Eberlein, Freiburg: Levy driven interest rate theory

Prerequisites:
Familiarity with basics of probability and statistics.

Schedule:

Monday Tuesday Wednesday Thursday Friday
09:00-09:50 Ole E. Barndorff-Nielsen: Introduction, Levy-Processes Ole E. Barndorff-Nielsen: Stochastic Volatility 1 Neil Shephard: Returns - Empirics Neil Shephard: Power variation - empirics Friedrich Hubalek: Multivariate extension, multi-asset options
10:00-10:50 Ole E. Barndorff-Nielsen: Levy bases, OU-Processes Ole E. Barndorff-Nielsen: Stochastic Volatility 2 Jeannette Woerner: Power variation, theory 1 Friedrich Hubalek: Derivatives(Pricing Theory) Ernst Eberlein: Levy driven interest rate theory I
11:00-11:50 Jeannette Woerner: Distributions Friedrich Hubalek: Time changes Jeannette Woerner: Power variation, theory 2 Friedrich Hubalek: Derivatives Pricing (Numerics) Ernst Eberlein: Levy driven interest rate theory II
12:30-13:30 Lunch Lunch Lunch Lunch Lunch
13:30-17:00 Relax/study Relax/study Schwarzwald walk Relax/study Relax/study
17:00-18:00 Tutorials Tutorials Tutorials
18:30-19:30 Dinner Dinner Dinner Dinner Dinner

Links:
Mathematisches Forschungsinstitut Oberwolfach
MaPhySto - the Danish National Research Foundation Network in Mathematical Physics and Stochastics.