**5. Mathematical Principle of Insurance: (Risk Pooling):* The principle of risk pooling is essential for making insurance feasible.
**Example:** Consider 100,000 RCC houses at risk of fire, with an average loss of Rs. 50,000 per house. If the chance of fire is 2 in 1000 (0.002), the total expected loss is Rs. 10,000,000. If owners contribute Rs. 100 each, raising Rs. 10,000,000, this pooled amount is sufficient to cover losses for those affected. To ensure fairness, all insured houses must face similar risks.
**How It Works:** - **Large Group:** Many contribute. - **Premiums:** Small amounts are pooled together. - **Claims:** Large amounts pay out to those who suffer losses.
**Risk Pooling & Law of Large Numbers:** Premiums are based on estimated risk (e.g., 0.002). When the actual experience matches expectations, the collected premiums suffice to cover losses. The Law of Large Numbers states that a larger risk pool makes the actual average loss closer to the expected loss.
**Insurer Solvency:** For insurers to remain solvent, they must have enough funds to cover claims. If they fail to maintain adequate reserves (solvency margin), they risk insolvency. In India, the IRDAI mandates a minimum solvency ratio of 1.5.
**Example:** When tossing a coin, the probability of heads approaches 0.5 only as the number of tosses increases. Hence, insurers need a large number of policies to ensure reliability.
**Conditions for Insurable Risks:** 1. Lots of similar exposures for predictable losses. 2. Losses must be definite and measurable. 3. Losses must be accidental and not intentional. 4. Only a small percentage should suffer losses at any time. 5. Economic feasibility: Costs must be reasonable compared to potential losses. 6. Compliance with public policy and morality. |
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