A general fractional white noise theory and applications to finance

The definitive version is available at www.blackwell-synergy.comWe present a new framework for fractional Brownian motion in which processes with all indices can be considered under the same probability measure. Our results extend recent contributions by Hu, Øksendal, Duncan, Pasik-Duncan, and others. As an application we develop option pricing in a fractional Black-Scholes market with a noise process driven by a sum of fractional Brownian motions with various Hurst indices.Robert J. Elliott, John Van Der Hoe