Interplay of subexponential and dependent insurance and financial risks

We are interested in the ruin probability of an insurer who makes risky investments and hence faces both insurance and financial risks. Assume that the insurance and financial risks over individual periods, (Xi,Yi), i∈N, form a sequence of independent and identically distributed copies of a generic pair (X,Y) and that the pair (X,Y) possesses a weak dependence structure described via its copula. For the subexponential case, we obtain an asymptotic formula for the finite-time ruin probability as our main result, which extends a few recent works on the topic.