MATHEMATICS COLLOQUIUM
Speaker: Ronnie Sircar
Title: Multiscale Stochastic Volatility Diffusion Models
Affiliation: Princeton University
Date: Friday, October 6, 2006.
Place and Time: Room 101 - Love Building, 3:35-4:30 pm.
Refreshments: Room 204 - Love Building, 3:00 pm.
Abstract.
We discuss empirical motivations for long and short time scales in
models of stochastic volatility based on diffusion processes. These have
applications for pricing equity derivatives, interest rate products and
credit derivatives, and calibrating implied volatilities, yield curves
and credit spreads. A combination of singular and regular perturbation
techniques provides convenient asymptotic approximations which we
illustrate from financial data.
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