insurance policy and coverage

When you buy insurance you get a contract — the policy — that spells out a promise: 'if this kind of bad thing happens to you during this time, we will pay, up to this much, after you pay the first slice.' The 'coverage' is the scope of that promise: which losses are in, which are out. Reading a policy is like reading the rules of a game before you play, because every word about what is covered, how much, and after what threshold decides whether a claim gets paid.

Three numbers do most of the heavy lifting. The deductible is the first part of a loss you pay yourself — a 1,000 dollar auto deductible means on a 4,000 dollar repair, you pay 1,000 and the insurer pays 3,000. The limit (or policy limit) is the most the insurer will pay — a 300,000 dollar limit on a 500,000 dollar house fire pays only 300,000. Sometimes there is also coinsurance, where you and the insurer split a band of the loss in fixed proportions. Coverage also lists exclusions (things explicitly not covered, like flood in a standard homeowners policy) and conditions you must meet. The premium is what you pay for all of this.

For an actuary, the deductible and limit are not fine print — they reshape the loss distribution the insurer actually pays. A higher deductible chops off small claims (lowering frequency and the average paid amount); a lower limit caps the giant ones (taming severity in the tail). Pricing, reserving, and reinsurance all depend on knowing exactly which slice of each loss the policy covers, which is why 'per-loss' versus 'per-payment' amounts are tracked carefully. A common misconception: the limit is not what you will receive — it is the ceiling; most claims settle for far less.