  The paper deals with a generalization of the risk model with stochastic
premiums where dependence structures between claim sizes and inter-claim times
as well as premium sizes and inter-premium times are modeled by
Farlie--Gumbel--Morgenstern copulas. In addition, dividends are paid to its
shareholders according to a threshold dividend strategy. We derive integral and
integro-differential equations for the Gerber--Shiu function and the expected
discounted dividend payments until ruin. Next, we concentrate on the detailed
investigation of the model in the case of exponentially distributed claim and
premium sizes. In particular, we find explicit formulas for the ruin
probability in the model without either dividend payments or dependence as well
as for the expected discounted dividend payments in the model without
dependence. Finally, numerical illustrations are presented.
