  It is an open question whether there are Vassiliev invariants that can
distinguish an oriented knot from its inverse, i.e., the knot with the opposite
orientation. In this article, an example is given for a first order Vassiliev
invariant that takes different values on a virtual knot and its inverse. The
Vassiliev invariant is derived from the Conway polynomial for virtual knots.
Furthermore, it is shown that the zeroth order Vassiliev invariant coming from
the Conway polynomial cannot distinguish a virtual link from its inverse and
that it vanishes for virtual knots.
