Arbitrage with fractional brownian motion?

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 (...

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Date:2007
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
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-4474
record_format dspace
spelling Bender, C.
Sottinen, T.
Valkeila, E.
2009-11-19T10:06:36Z
2009-11-19T10:06:36Z
2007
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.
0321-3900
https://nasplib.isofts.kiev.ua/handle/123456789/4474
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.
en
Інститут математики НАН України
Arbitrage with fractional brownian motion?
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Arbitrage with fractional brownian motion?
spellingShingle Arbitrage with fractional brownian motion?
Bender, C.
Sottinen, T.
Valkeila, E.
title_short Arbitrage with fractional brownian motion?
title_full Arbitrage with fractional brownian motion?
title_fullStr Arbitrage with fractional brownian motion?
title_full_unstemmed Arbitrage with fractional brownian motion?
title_sort arbitrage with fractional brownian motion?
author Bender, C.
Sottinen, T.
Valkeila, E.
author_facet Bender, C.
Sottinen, T.
Valkeila, E.
publishDate 2007
language English
publisher Інститут математики НАН України
format Article
description 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.
issn 0321-3900
url https://nasplib.isofts.kiev.ua/handle/123456789/4474
citation_txt 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.
work_keys_str_mv AT benderc arbitragewithfractionalbrownianmotion
AT sottinent arbitragewithfractionalbrownianmotion
AT valkeilae arbitragewithfractionalbrownianmotion
first_indexed 2025-12-07T19:13:28Z
last_indexed 2025-12-07T19:13:28Z
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