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2021 / March Volume 16 No.1
The Absence of Arbitrage Property in Mixed Fractional Bownian Motion Setting
Published Date
2021 / March
Title
The Absence of Arbitrage Property in Mixed Fractional Bownian Motion Setting
Author
Hennoune Halima, Kandouci Abdeldjebbar
Keyword
Stochastic integral, mixed fractional Brownian motion, conditional full support, Stochastic integral, mixed fractional Brownian motion, conditional full support
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Pagination
63-77
Abstract
In this paper, we investigate the condition full support property (CFS) for the stochastic process $S_{t}=R_{t}+\int_{0}^{t}\phi_{s}dM^{H}_{s}$, where $M^{H}_{s}$ is a mixed fractional Brownian motion, $R_{t}$ a continuous adapted process, and $(\phi_{t})$ an elementary predictable process. The problem of the absence of arbitrage for this process is treated.
DOI
10.21915/BIMAS.2021104
https://doi.org/10.21915/BIMAS.2021104
AMS Subject
Classification
34A08, 34K50, 93B05, 58J65
Received
2021-03-18
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