V. Kalashnikov: Bounds of ruin probabilities in the presence
   of heavy-tailed claims. 


A new approach to bounding of ruin probabilities is developed.
Basic mathematical tools: Markov processes, renewal theory,
geometric sums of i.i.d.r.v.'s. Corresponding bounds are easy
for computation. Comparisons with Willmot's estimates as well
as numerical results are given.