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Lecture 64: stochastic volatility models

The martingale representation theorem and stochastic volatility models.

From  Tiziano Vargiolu 11 plays 0  

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.

From  Tiziano Vargiolu 24 plays 0  

Lecture 41: generalized stochastic integral

General definition and properties of stochastic integral.

From  Tiziano Vargiolu 30 plays 0  

Lecture 40: local martingales

Definition of local martingale. Construction of the stochastic integral for a process with locally square integrable sample paths.

From  Tiziano Vargiolu 25 plays 0