  The extrapolation of small-cluster exact-diagonalization calculations is used
to examine the possibility of electronic ferroelectricity in the one
dimensional spinless and spin-one-half Falicov-Kimball model (FKM). It is found
that neither spinless nor spin-one-half version of the FKM does not allow for a
ferroelectric ground state with a spontaneous polarization, i.e. there is no
nonvanishing $<d^{+}f>$-expectation value for vanishing hybridization $V$.
