In this paper, we study a discrete time risk model with random interest rate. The convergence of the discounted surplus process is proved by using martingale techniques, an expression of ruin probability is obtained, and bounds for ruin probability are included. In the second part of the paper,...

In this paper, we study a discrete time risk model with random interest rate. The convergence of the discounted surplus process is proved by using martingale techniques, an expression of ruin probability is obtained, and bounds for ruin probability are included. In the second part of the paper,...

In this paper, we consider a compound Poisson model with a constant interest force for an insurance portfolio. We investigate the distribution of surplus process immediately before ruin in particular. Equations satisfied by the distributions of surplus immediately before ruin and their Laplace...