Arbitrage with fractional brownian motion?

• Date: 2007
• ISSN: 0321-3900
• Main Authors: Bender, C., Sottinen, T., Valkeila, E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4474
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Arbitrage with fractional brownian motion? / C. Bender, T. Sottinen, E. Valkeila // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 23-34. — Бібліогр.: 26 назв.— англ.

In recent years fractional Brownian motion has been suggested to replace the classical Brownian motion as driving process in the modelling of many real world phenomena, including stock price modelling. In several papers seemingly contradictory results on the existence or absence of a riskless gain (...