  We provide a device, called the local predictor, which extends the idea of
the predictable compensator. It is shown that a fBm with the Hurst index
greater than 1/2 coincides with its local predictor while fBm with the Hurst
index smaller than 1/2 does not admit any local predictor. The local predictor
of a martingale (in particular: Brownian motion) trivially exists and equals 0.
