  For a Calabi-Yau manifold $X$, the Kawamata - Morrison movable cone
conjecture connects the convex geometry of the movable cone
$\overline{\mathrm{Mov}}(X)$ to the birational automorphism group. Using the
theory of Coxeter groups, Cantat and Oguiso proved that the conjecture is true
for general varieties of Wehler type, and they described explicitly
$\mathrm{Bir}(X)$. We generalize their argument to prove the conjecture and
describe $\mathrm{Bir}(X)$ for general complete intersections of ample divisors
in arbitrary products of projective spaces. Then, under a certain condition, we
give a description of the boundary of $\overline{\mathrm{Mov}}(X)$ and an
application connected to the numerical dimension of divisors.
