Sharpe has shaped recent thinking in the financial sciences with his paper on the Distribution Builder, a tool designed to elicit investor preferences as probability distributions. We examine pricing such distributions in simple financial models. The no-arbitrage pricing method is a well studied technique for pricing derivative securities in financial market models. We apply this method to price arbitrary probability distributions on finite outcome spaces. This work surfaces constraints on the technique as the number of possible investment outcomes increases, and examines these constraints from multiple perspectives.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Perreault, Dan

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-110418-163221

Advisor

• Sturm, Stephan

Year

• 2018

Date created

• 2018-11-04

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright