Insurance Fundamentals

Insurance is a mechanism for transferring financial risk from an individual or entity to a larger group, where members share the losses of the few through pooled resources and calculated premium contributions.

Risk pooling is the practice of combining risks from many policyholders so that the predictable cost of losses can be distributed across the entire group, leveraging the Law of Large Numbers to stabilize outcomes.

Larger risk pools reduce variance in losses per policyholder, allowing more accurate predictions and lower relative risk charges. Smaller pools face greater volatility and may require higher premiums or reinsurance.

Moral hazard is the tendency of insured parties to take on greater risks or behave less carefully once protected by insurance, because they do not bear the full consequences of potential losses.

Pure risk involves only the possibility of loss or no change (e.g., fire, theft), while speculative risk involves the possibility of both gain and loss (e.g., stock investments). Insurance typically covers only pure risk.

Underwriting is the process by which an insurer evaluates the risk of insuring a person or asset and decides whether to accept the risk, and on what terms—including pricing and coverage conditions.

Underwriters assess age, gender, health status, family medical history, occupation, lifestyle (smoking, alcohol use), hobbies (aviation, extreme sports), and the type and amount of coverage requested.

Property underwriters evaluate location, construction type, age of building, occupancy, fire protection availability, security measures, prior claims history, and exposure to natural hazards like floods or earthquakes.

Risk classification groups policyholders into homogeneous risk categories based on shared characteristics, allowing insurers to charge premiums that reflect each group's expected loss costs.

An actuarial table presents statistical data on mortality, morbidity, or other contingencies, showing the probability of events at various ages or durations. It serves as a core tool for pricing and reserving.

The risk premium is the portion of an insurance premium that reflects the expected payout for the insured risk, above the pure premium. It may include loadings for uncertainty, capital costs, and profit margin.

The pure premium equals the expected loss per exposure unit, calculated as total expected losses divided by the number of exposure units. It represents only the cost of claims, with no expense loadings.