Aggregate stop loss reinsurance
= Aggregate stop loss reinsurance
{title2=$S_I=\min(S,M)$}
With aggregate retention $M\geq0$, the direct insurer pays $\min(S,M)$ and the reinsurer pays $(S-M)_+$, where $+$ denotes the <positive part>. The threshold applies to the whole annual loss; applying a threshold to individual claims is a different contract.