MATHEMATICS COLLOQUIUM
Speaker: Michael Sullivan.
Title: Pricing Options with Stochastic Volatility Models.
Affiliation: University of Michigan.
Date: Thursday, 6 February 2003.
Place and Time: Room 102 - Love Building, 3:35-4:30 pm.
Refreshments: Room 204 - Love Building, 3:00 pm.
Abstract.
The celebrated Black-Scholes formula for pricing stock options
assumes that the stock volatility is constant.
Much empirical evidence demonstrates such an assumption
to be faulty. I will discuss ways in which the Black-Scholes model
has been modified to allow the volatility to be stochastic.
This includes joint work with J. Conlon which shows how
close the Black-Scholes price is to the stochastic volatility price
when certain assumptions are made for the volatility process.
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