Mathematical Finance and Probability Seminars (Since covid these events are taking place online.)

Malliavin calculus for backward stochastic differential equations and application to numerical solutions

Tuesday, November 02, 2010 at 11:00am - 12:00pm

Speaker: Yaozhong Hu, University of Kansas

To obtain the rate of convergence of numerical solutions for backward stochastic differential equations $dY_t=-f(t, Y_t, Z_t)dt+Z_tdW_t$, $Y_T=xi$, where $f$ and $xi$ are given, one needs to know the Holder continuity of the solution pair $(Y_t, Z_t)$. In this work, expression of $Z_t$ as a Malliavin derivative of $Y_t$ are fully explored to obtain sharp proprties of the solution. These are necessary to the rate of convergence of some numerical schemes.

Speaker: Yaozhong Hu, University of Kansas

Slides: (TBA)
Location   Hill 705