Consider a discrete-time insurance risk modelWithin period i, i ≥ 1, Xi and Yi denote the net insurance loss and the stochastic discount factor of an insurer, respectively.Assume that {(Xi, Yi), i ≥ 1} form a sequence of independent and identically distributed random vectors following a common bivariate Sarmanov distributionIn the presence of heavy-tailed net insurance losses, an asymptotic formula is derived for the finite-time ruin probability.