Before revision:  Five years of daily Euro/ Dollar trading records in the about three hours following the New York opening session are shown to give an accurate ensemble representation of the self-similar ,
After revision:  Five years of daily Euro/ Dollar trading records in the about three hours following the New York market opening, provide a rich enough ensemble of histories. The statistics of this ensemble allows to propose and test an adequate model of the stochastic process driving the exchange rate. This turns out to be a non-Markovian, self-similar ,