01:09:36 duration 1 hour 9 minutes
Lecture 64: stochastic volatility models
The martingale representation theorem and stochastic volatility models.
27:42 duration 27 minutes 42 seconds
Lecture 62: martingale representation theorem
The martingale representation theorem in the case of a multidimensional Brownian motion: representation of L^2 martingales and local martingales.
48:17 duration 48 minutes 17 seconds
Lecture 41: generalized stochastic integral
General definition and properties of stochastic integral.
01:08:33 duration 1 hour 8 minutes
Lecture 40: local martingales
Definition of local martingale. Construction of the stochastic integral for a process with locally square integrable sample paths.