Date of Award

December 2012

Degree Type

Thesis

Degree Name

Master of Science

Department

Mathematics

First Advisor

Richard Stockbridge

Committee Members

Jeb Willenbring, Chao Chao Zhu

Abstract

We will introduce the American lookback option in the Black-Scholes model. Afterwards

we will examine the process it inherits and derive and formulate the linear

program needed to price it.

As an approximation, we will apply a time-discretization and a truncation of the

innite space. The requirements for a solution are weakened and the optimization

problem is reduced to base functions,being linear functions.

In the end we study the numerical results following from the above computations.

Included in

Mathematics Commons

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