Abstract. The `bird eye's' view of actuarial ruin problem is captured by the so-called Cramer-Lundberg model which represents the current capital as a difference of incoming payments and the outgoing claims. The simplest model for the claim flow is the compound Poisson process. We are interested in an asymptotic expansion of the ruin probability on a big time interval when the initial capital tends to infinity and the ratio of the capital and the time tends to a constant. The results of standard saddle-point approximation fails on the Stokes lines. However, some refinements of this method provides uniform asymptotic expansions.