Financial/Actuarial Mathematics Seminar

Thursdays 3:10-4:00, 3088 East Hall



Derivatives of Asian Call option prices Kyounghee Kim

Department of Mathematics, Florida State University

February 21, 2008



Abstract

An asian option is an option whose payoff is linked to the average value of the underlier on a specific set of dates during the life time of the option. Because the distribution of the averaging process is not known, there is no "formula" for the price of an Asian option. Using the appropriate measure change, the price of an European style Asian Call option and the derivatives can be expressed as the expected values of simple functions of Geometric Brownian motion. We will also discuss properties of average process of Geometric Brownian motion and some issues related to the sensitivity simulation. This is the joint work with Jungmin Choi.


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