  We give the exact upper and lower bounds of the M{\"o}bius inverse of
monotone and normalized set functions (a.k.a. normalized capacities) on a
finite set of n elements. We find that the absolute value of the bounds tend to
4 n/2 $\sqrt$ $\pi$n/2 when n is large. We establish also the exact bounds of
the interaction transform and Banzhaf interaction transform, as well as the
exact bounds of the M{\"o}bius inverse for the subfamilies of k-additive
normalized capacities and p-symmetric normalized capacities.
