  We derive a satisfying rate of convergence of the Marcus-Lushnikov process
toward the solution to Smoluchowski's coagulation equation. Our result applies
to a class of homogeneous-like coagulation kernels with homogeneity degree
ranging in $(-\infty,1]$. It relies on the use of a Wasserstein-type distance,
which has shown to be particularly well-adapted to coalescence phenomena.
