  Let $\Lambda$ be a finite dimensional algebra. Let $\mathcal C$ be a
functorially finite exact subcategory of $\Lambda$-mod with enough projective
and injective objects and $\mathcal S (\mathcal C)$ be its monomorphism
category. It turns out that the category $\mathcal S (\mathcal C)$ has almost
split sequences. We show an explicit formula for the Auslander-Reiten
translation in $\mathcal S (\mathcal C)$. Furthermore, if $\mathcal C$ is a
stably $d$-Calabi-Yau Frobenius category, we calculate objects under powers of
Auslander-Reiten translation in the triangulated category $\overline{\mathcal
S(\mathcal C)}$.
