There is a close connection of the Monge-Ampère measure with the intersection product on formal schemes as defined in [Gub98]: Assume that $\mathfrak{X}$ has irreducible, reduced and boundaryless generic fibre and reduced special fibre. In addition to $\mathfrak{L}_{1},...,\mathfrak{L}_{n}$ let $\mathfrak{L}_{0}$ be a formal line bundle on $\mathfrak{X}$ which is trivial on the generic fibre and set $f:=-\log\|1\|$ where $\|\cdot\|$ is the formal metric induced by $\mathfrak{L}_{0}$. Suppose that $f$ has compact support and let $D:=\Div(1)$ be the Cartier divisor on $\mathfrak{X}$ induced by $1$ as in [Gub98, Remark 3.1]. We examine the Weil divisor $\cyc(D)$ associated to $D$ as defined in [Gub98, §3]. Since $\mathfrak{L}_{0}$ is trivial on the generic fibre, the horizontal part of $\cyc(D)$ is zero while the vertical part is by definition ([Gub98, 3.8]) given by $\sum_{Y\in\irr(\tilde{\mathfrak{X}})}f(\zeta_{Y})\cdot Y$. Now since $\mathfrak{X}^{\textup{an}}$ has no boundary, every irreducible component of $\tilde{\mathfrak{X}}$ is proper by Corollary A.4 and together with the definition of the intersection product ([Gub98, §4]) we obtain