The estimation of ARFIMA models by approximate maximum likelihood esti
mation methods, reveals the forward premia for the currencies of Canad
a, Germany and the UK vis-a-vis the US dollar, to be well described by
a fractionally integrated process. These models imply that all the fo
rward premia are mean reverting, although their autocorrelations are q
uite persistent. This degree of persistence has led other studies to e
rroneously conclude that the forward premia contains a unit root. (JEL
C22, E31).