Arbitrage in fractional Brownian motion models

Finance and Stochastics - Tập 7 - Trang 533-553 - 2003
Patrick Cheridito1
1Departement für Mathematik, Eidgenössische Technische Hochschule Zürich, 8092 Zürich, Switzerland (e-mail: [email protected]) , , CH

Tóm tắt

We construct arbitrage strategies for a financial market that consists of a money market account and a stock whose discounted price follows a fractional Brownian motion with drift or an exponential fractional Brownian motion with drift. Then we show how arbitrage can be excluded from these models by restricting the class of trading strategies.