# How does the minimum retention limit for surplus reinsurance work

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For individual surplus, I understand that the insurer pays (Retention limit/EML) x Claim or  (Retention limit/Sum insured) x Claim.

What happens if the reinsurer states there is a maximum retention limit and a minimum retention limit? I'm assuming that you always use the maximum retention limit unless the EML or Sum insured is below this retention limit, then the minimum retention limit would be used. This would benefit the insurer right?

Please let me know if the above explanation is right!
commented Nov 4, 2018 by (4,010 points)

Hi Anonymous

I think you may be getting confused between individual surplus and normal surplus reinsurance. As far as I am aware there are no situations in which an individual surplus contract would be specified with an upper and a lower limit. If you have a specific example which you came across, please post it and I will go from there.

Rowan

commented Nov 4, 2018 by (680 points)

This is taken from the 2015 paper 1 Q1: The question does the calculation for iii) using the maximum retention limit for the individual surplus. It then uses the minimum retention limit to calculate the maximum possible reinsurance amount for iv (I left out the table because it did not fit).

PropSure has set up reinsurance treaties which operate in the order given below:

25% Quota Share treaty with Reinsurer A.

Individual Surplus with Reinsurer B, which has a maximum retention limit of $50m and which stipulates that PropSure must retain at least$10m on each risk reinsured

Individual Risk Excess of Loss with Reinsurer C, providing cover of $5m in excess of$2m
(iii) Determine the amounts (a) – (e) in the above table.
(iv) Derive, and simplify, an expression for the maximum recovery (from an individual claim of L on a policy with sum insured S) which could be made from the proportional treaties, in terms of L and S.