Reinsurance is like insurance for insurance companies. Imagine you have a big jar of candies and you want to make sure all of them are safe. So you decide to put a small container inside the jar to protect the candies. This small container is like reinsurance.
Now, actuaries are like the people who figure out how much the small container should cost to protect the candies. They use special math skills to calculate the premium, which is the amount of money that the insurance company has to pay for the reinsurance.
The actuaries look at many different things to determine the premium. They consider how many candies are in the jar, how likely they are to get damaged, and how much it would cost to replace them if something bad happens. They also look at how often bad things happen to other jars of candies, so they can predict the likelihood of the candies getting damaged in the future.
Once the actuaries have all this information, they do lots of calculations to figure out the right premium to charge. This premium is the amount of money that the insurance company has to pay the reinsurance company to protect their candies.
So, in simple terms, reinsurance actuarial premium is the cost that an insurance company has to pay to make sure they have extra protection in case something bad happens. Actuaries use lots of math to figure out this cost by looking at how likely the bad things are to happen and how much it would cost to fix them.