  We offer a new perspective on risk aggregation with FGM copulas. Along the
way, we discover new results and revisit existing ones, providing simpler
formulas than one can find in the existing literature. This paper builds on two
novel representations of FGM copulas based on symmetric multivariate Bernoulli
distributions and order statistics. First, we detail families of multivariate
distributions with closed-form solutions for the cumulative distribution
function or moments of the aggregate random variables. We order aggregate
random variables under the convex order and provide methods to compute the
cumulative distribution function of aggregate rvs when the marginals are
discrete. Finally, we discuss risk-sharing and capital allocation, providing
numerical examples for each.
