Necessity of Accumulating This Fund According to Scientific Principles
and a Workable Method
In accumulating the fund referred to in the preceding
section it is important for the companies to take into account several
other characteristics which differentiate life insurance from other forms
of insurance. In the first place, the persons combining for life insurance
are not of the same age, and it is clear that on the average those insuring
at the younger ages will live much longer before receiving payment on their
policies than those who insure at the older ages. Justice, therefore, requires
that the premium payments should be graded according to the age when the
policy is issued. Furthermore, as future chapters will show, a great variety
of policies is on the market, some insuring against death for a limited
number of years only while others cover the whole of life, some providing
for the payment of premiums for a stated number of years only and others
for the entire duration of the contract, some promising the payment of the
face of the policy in one lump sum and others for the payment of that sum
in a fixed number of installments, etc. Here again justice demands that
the rates for each type of policy shall be determined not only with reference
to the age of the insured at entry, but also according to the nature of
the protection promised.
These complex conditions cannot be treated justly by the companies unless
they follow scientific principles in the computation of their rates. Since
life-insurance policies promise a definite sum in the event of death, and
in some instances in the event of survival at a stated time, it is essential
that there be an accurate determination of the liability involved and that
an adequate premium be charged which is just as between ages and types of
policies. This is especially important because life-insurance contracts,
in contrast with most other forms of insurance where the policies are written
for only one or at most a few years and are subject to cancellation at the
option of either party, are unilateral as against the company and usually
extend throughout life or for long periods of time. Later chapters will
outline the principles underlying the computation of rates, and the matter
will therefore not be discussed in detail at this time. Suffice it to state
that the reasons just mentioned make it essential for the companies to compute
their premiums on the basis of some table of mortality experience which
will indicate to the company the probability of death for average lives
at any age.
In addition to the foregoing, life insurance presents a further problem
as regards the accumulation of the fund necessary to pay policy claims.
Experience has shown that a workable plan of life insurance requires the
charge of a uniform annual premium during the premium-paying period. Mathematically,
it is possible to consider a life-insurance policy as composed of a series
of one-year renewable-term insurances and to make each year's premium just
cover the cost of current protection. Under this plan, however, since the
rate of death increases with increasing age, the premium will become burdensome
and at last prohibitive, with the result that the healthy members of the
group will withdraw rather than continue to pay the greatly increased rates.
From a practical standpoint it is therefore desirable in the great majority
of cases to charge a uniform or level annual premium as contrasted with
an increasing one. Mathematically, the two plans are the same, since they
are computed on the basis of the same table of mortality experience, but
the annual level premium has the great advantage of being moderate in amount
and the same from year to year, with the result that policy-holders remain
satisfied and soon become accustomed to its payment.
But keeping the premium the same from year to year, instead of increasing
it in accordance with increasing age, involves the payment during the earlier
years of a sum over and above that required to pay the current cost of insurance.
In other words during the early years the company is accumulating a fund
out of excess premiums which will be drawn upon in. the later years when
the same annual premium becomes insufficient to meet the current cost. This
overcharge in the yearly premiums does not belong to the company but is
held in trust for the policyholder at an assumed rate of interest for the
purpose lust indicated. Considering a large number of policies, this overcharge
or unearned premium (usually called the reserve) represents that sum which,
together with the future premiums paid by policy-holders, will just enable
the company to meet its claims according to the mortality table in use.
This method of thus accumulating a reserve fund is fundamental to any sound
plan of life insurance. The extent of such accumulations by the companies
now in operation in the United States is indicated by the fact that at the
close of 1913 the reserve value of the policies in force in the 259 American
legal-reserve companies, reported in the Insurance Year Book, amounted to
$3,903,000,000 or nearly 84 percent, of their total admitted assets.
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