exposure and exposure base
How do you measure 'how much insurance' a company is on the hook for? You cannot just count policies, because one policy might cover a single bicycle and another a fleet of a hundred trucks. So insurers count exposure: a unit of risk that scales with how much loss could happen. The exposure base is the yardstick chosen for a line — the thing you multiply a rate by to get a premium. Pick a base that moves up and down with expected losses, and pricing becomes fair and simple.
Each line has a natural exposure base. In auto it is the car-year (one insured car for one year). In homeowners it might be the amount of insurance (per 1,000 of dwelling value). In workers' compensation it is payroll (per 100 of wages), because more workers and higher wages mean more and bigger injury claims. In product liability it might be sales revenue. 'One car insured for a full year' is one earned car-year; two cars each insured for six months is also one earned car-year. Premium is then, roughly, rate per exposure unit times the number of exposure units: 800 per car-year times 500 car-years is 400,000 of premium.
Exposure is the denominator under almost every P&C ratio and rate. Frequency is claims per exposure; pure premium is losses per exposure; trend and credibility are judged relative to exposure counts. A well-chosen base is responsive (rises with risk), practical (easy to measure and audit), and hard to manipulate. A common subtlety: exposures must be 'earned' over time just like premium — a one-year policy contributes its exposure gradually across the year, not all at once on day one.
A workers' comp insurer prices by payroll. A factory with 8,000,000 of payroll at a rate of 2.50 per 100 of payroll pays premium of 8,000,000 / 100 * 2.50 = 200,000. Double the payroll and the premium doubles — the base tracks the risk.
Premium ≈ rate per exposure unit × number of exposure units.
Distinguish written exposures (counted when a policy is sold) from earned exposures (the portion that has elapsed) — ratios use earned exposures to match earned premium and incurred losses for the same period.