Consumer Mathematics: Insurance · Form 5
How insurance shares risk
Many people each pay a premium into a common pool, and that pool pays the few who actually suffer a loss; sometimes the policyholder also shares part of a single loss with the insurer.
A pool many pay into, few draw from
Risk sharing starts with a simple idea: a large group each pays a modest premium, and only the unlucky few who suffer a loss are paid from the collected fund. No single person could easily absorb a RM50,000 loss, but if 1000 people each contribute a little, the group can.
The premium each person pays reflects how likely and how large such losses are across the whole group, not just for that one person.
Sharing a single loss: co-insurance
Risk can also be shared inside one policy. Under co-insurance the insurer might pay, say, 90% of a loss while the policyholder bears the other 10%.
A related idea, the average clause, applies when an item is insured for less than its full value: the payout is scaled down in the same proportion, so insuring a RM100,000 item for only RM80,000 means the insurer pays 80% (that is, 80,000 ÷ 100,000) of any partial loss. Both are ways the burden of a loss is split rather than carried entirely by the insurer.
How to spot it, and what trips students up
Words like 'co-insurance', 'the policyholder bears...', or a sum insured that is lower than the stated value of an item are signals that a loss is being shared. The common misconception is thinking your own premium pays for your own claim, or that you always recover the full loss no matter how much you insured for.
Neither is true: the group funds the claims, and under-insuring means you knowingly keep part of the risk yourself.
Source:DSKP KSSM Mathematics Form 4 and 5 (Versi English)
Frequently asked questions
Why do these questions talk about insurance as a 'pool' shared by many people?
Because that's how the numbers work: many policyholders each pay a relatively small premium into a common pool, and that pool covers the payout for the few who actually suffer a loss. Understanding this helps explain why a premium is much smaller than the sum insured in most questions.
What does a co-insurance percentage actually tell me to calculate?
It tells you how a single loss is split between the insurer and you. If the co-insurance clause gives the insurer's share, apply that percentage to the loss amount to find their payout, the pitfall is applying the percentage to the sum insured instead of to the actual loss stated.
If a loss is bigger than the sum insured, who pays the rest?
The policyholder does. The sum insured is the ceiling on what the insurer will pay, so any part of the loss above that figure is not covered and falls to the insured to bear themselves, a detail worth checking before you conclude a calculation is finished.