  In this talk, we present the predictions for a number of radiative decays
$B_{(s)}\to V\gamma$, with the vector meson in the final state, which proceed
through the weak-annihilation mechanism. Within the factorization
approximation, we take into account the photon emission from the $B$-meson loop
and from the vector-meson loop. The highest branching ratios for the
weak-annihilation reactions reported here are ${\cal B}(\bar B^0_s\to
J/\psi\gamma)=1.5\cdot 10^{-7}$ and ${\cal B}(B^-\to \bar
D_s^{*-}\gamma)=1.7\cdot 10^{-7}$, the estimated accuracy of these predictions
being at the level of 20%.
