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As with all types of insurance, life assurance
policyholders pay premiums into a common fund from which all
claims are paid out. In order for the insurer to be certain
there will be sufficient funds to pay out all the claims,
there has to be a relationship between the premium charged
and the benefit given under a policy.
This is easier to predict with life assurance than with other
types of insurance, because mortality tables can be used to
predict the number of deaths and therefore the number of likely
claims.
By using mortality tables, an actuary can find out the mortality
rate for any given age and, by multiplying this by the sum
assured, can work out the premium for that year.
If a large enough group of healthy people is insured, the
chances are that some of them will die in the course of a
year. It is obviously impossible to predict who will die during
the period, but if everyone pays the premium that is appropriate
for their age, there should in principle be enough money to
pay all those who die and leave nothing over.
It can be seen from the mortality tables that the risk of
death generally increases with age. If a level premium is
charged throughout the duration of a policy, the premium in
the early years is higher than is needed to meet the current
claim costs. Thus there will be money in hand to meet the
cost of the greater risk in later years, when the premium
will be less than is required to cover such risk.
The excess in the early years forms a reserve that can be
drawn on to meet the heavier claims in the later years. In
any group of insured lives, there will be just a few deaths
in the first year, causing a moderate proportion of the total
premiums to be paid out in claims. The balance will go into
the reserve to be held against future claims. In the second
year, a slightly higher proportion of the premiums will be
needed to pay claims and a slightly lower proportion will
go into the reserve. Each year the claim cost will be slightly
higher and the amount going into the reserve slightly lower,
until eventually the reserve starts to decrease as claims
exceed premiums.
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