  For a bivariate \Levy process $(\xi_t,\eta_t)_{t\geq 0}$ the generalised
Ornstein-Uhlenbeck (GOU) process is defined as \[V_t:=e^{\xi_t}(z+\int_0^t
e^{-\xi_{s-}}\ud \eta_s), t\ge0,\]where $z\in\mathbb{R}.$ We present conditions
on the characteristic triplet of $(\xi,\eta)$ which ensure certain ruin for the
GOU. We present a detailed analysis on the structure of the upper and lower
bounds and the sets of values on which the GOU is almost surely increasing, or
decreasing. This paper is the sequel to \cite{BankovskySly08}, which stated
conditions for zero probability of ruin, and completes a significant aspect of
the study of the GOU.
