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Donsker theorem for the Rosenblatt process and a binary market model

In this paper, we prove a Donsker type approximation theorem for the Rosenblatt process, which is a selfsimilar stochastic process exhibiting long range dependence. By using numerical results and simulated data, we show that this approximation performs very well. We use this result to construct a binary market model driven by this process and we show that the model admits arbitrage opportunities.
Year of publication:
2007-03
Authors: Tudor, Ciprian ; Torres, Soledad
Institutions: arXiv.org
Extent:
application/pdf
Series:
Type of publication: Book / Working Paper
Language: English
Source:
Persistent link: https://www.econbiz.de/10005083860
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