  We study parabolic semigroups of finite shift in the unit disk with regard to
the rate of convergence of their orbits to the Denjoy--Wolff point. We examine
this rate in terms of Euclidean distance, hyperbolic distance and harmonic
measure. In each case, we provide explicit examples to display the sharpness of
the results. We further discuss the corresponding rates of convergence for
parabolic semigroups of positive hyperbolic step and infinite shift.
