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Fractional processes as models in stochastic finance

We survey some new progress on the pricing models driven by fractional Brownian motion \cb{or} mixed fractional Brownian motion. In particular, we give results on arbitrage opportunities, hedging, and option pricing in these models. We summarize some recent results on fractional Black & Scholes pricing model with transaction costs. We end the paper by giving some approximation results and indicating some open problems related to the paper.
Year of publication:
2010-04
Authors: Bender, Christian ; Sottinen, Tommi ; Valkeila, Esko
Institutions: arXiv.org
Extent:
application/pdf
Series:
Type of publication: Book / Working Paper
Language: English
Source:
Persistent link: https://www.econbiz.de/10008622237
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