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.