Math 591A: Financial Mathematics

Krzysztof Burdzy

Autumn 1999, MWF 12:30-1:20


This one-quarter class will be a crash course on pricing financial derivatives (options, contingent claims).  Unlike two-quarter courses offered in 1997-98 and 1998-99 on the same topic, this course will not cover much theoretical background (martingales) or discuss various models in financial mathematics.  I will experiment by trying to present enough stochastic analysis in one quarter to be able to derive the famous Black-Scholes formula using Itô calculus.

The class will not be rigorous in the strict mathematical sense and so students from various departments are encouraged to consider it.  However, the material requires ability to absorb many new ideas in a short time.  The pace will be fast and the class might be hard despite lack of rigor.