MATHEMATICS COLLOQUIUM
Speaker: Traian Pirvu
Title: Pricing in Complete and Incomplete Markets
Affiliation: University of British Columbia
Date: Friday, February 17, 2006.
Place and Time: Room 101 - Love Building, 3:35-4:30 pm.
Refreshments: Room 204 - Love Building, 3:00 pm.
Abstract.
We begin by reviewing the binomial asset pricing model
which is a complete market model. In the limit, the binomial model
converges to an exponential Brownian motion model, a setup where
Black-Scholes-Merton equation was derived. In reality markets are
incomplete for many reasons (eg. jumps, market closures, illiquidity)
and perfect risk transfer is not possible. We introduce a novel
approach of pricing in incomplete markets "via" risk measures.
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