Under this arrangement, vehicle owners who suffer financial loss will be indemnified by those who do
not suffer the accident hence owner who escape loss will be willing to pay those who suffer loss,
because by doing so, they eliminate the possibility of themselves suffering the sh 1M loss.
The potential difficulty of this arrangement is that some group members may refuse to pay their
assessment of sh 1M at the time of loss and this problem can only be solved by requiring advance
payment of cash by each person contributing to the arrangement. The assessment that each individual
is required to pay will be calculated on the basis of past exposure and experience.
Example:
If in the above only 3 out of 1000 vehicles suffer loss. Then each group member will be required to pay
sh 3000.
In addition to the cost of the loss costs, there will be some administrative costs for the arrangement of
risk sharing and cost to cater for the eventuality.

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The insurance company administering the arrangement will also add up some mark up or profit to the
entire cost the arrangement.
From above example;
3000
Add admin costs
xxxx
Add imprecise prediction possibility
xxxx
Add profit mark-up
xxxx
Cost of arrangement
xxxx
Prediction of probable losses
In addition to eliminating losses,
at the individual level, through risk transfer to a group, the insurance
mechanism reduces risks for the society as a whole. The risk that insurance companies face is not
merely a summation of the risk transfer from individuals to itself but insurance companies are able to
do something that the group of individuals cannot, which to predict, in a more precise manner the
amount of losses that are likely to occur.
If the insurer could predict future losses with absolute precision, then the insurer would face no
possibility of loss because they would collect precisely each individual’s share of the expected losses in
the group. But because the insurance predictions are not precise, the premiums that they may charge
are likely to be inaccurate. The accuracy of the insurance prediction is based on the law of large
numbers.
3.2.3 The law of Accuracy and large numbers in insurance
Accuracy of an insurance prediction is base on the law of large numbers. By combining a sufficiently
large number of similar exposure units (insured persons), the insurer is able to make predictions for the
group as a whole, and this is done through the theory of probability. The primary function of insurance
is the creation of the counterpart of risk which is security
.
Insurance does not decrease uncertainty of financial losses or alter the probability of occurrence, but
reduces the probability of financial loss connected to the event.
3.2.4 Expectation gap in risk pooling arrangement

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(i)
Some people believe that it’s a waste to purchase insurance especially if a loss does not
occur and they are indemnified.


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- Summer '19
- concepts of risk