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ЖУРНАЛЫ // Theory of Stochastic Processes // Архив

Theory Stoch. Process., 2007, том 13(29), выпуск 1, страницы 23–34 (Mi thsp155)

Arbitrage with fractional brownian motion?

Christian Bendera, Tommi Sottinenb, Esko Valkeilac

a Faculty for Mathematics and Computer Science, TU Braunschweig, Pockelsstr. 14, D-38106 Braunschweig, Germany
b Department of Mathematics and Statistics, P.O. Box 68, FI-00014 University of Helsinki, Finland
c Institute of Mathematics, P.O.Box 1100, FI-02015 Helsinki University of Technology, Finland

Аннотация: 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 (arbitrage) in such stock models have been stated. This survey tries to clarify this issue by pointing to the importance of the chosen class of admissible trading strategies.

Ключевые слова: Arbitrage, fractional Brownian motion, fractional Black- Scholes model, mixed-fractional Black-Scholes model.

MSC: 60G15, 60G18, 91B28

Язык публикации: английский



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