net (benefit) premium

Imagine a club where everyone chips in a little money each year so that whoever's house burns down gets rebuilt. If you ignore the cost of running the club — no salaries, no office rent, no profit — and ask only 'how much must each member pay so the pot exactly covers the promised rebuilds, on average,' you have found the net premium. It is the bare-bones price of the promise itself, stripped of every running cost.

Precisely, the net (benefit) premium is the premium an insurer would charge if its ONLY outgo were the policy benefits (death benefits, maturity payouts) and its only assumptions were a mortality table and an interest rate — no expenses, no profit, no margin. It is set by the equivalence principle: at the moment the policy is issued, the actuarial present value of the premiums the policyholder will pay equals the actuarial present value of the benefits the insurer promises. In symbols, for a whole-life policy of 1 paid by level annual premiums P, the relation is P * a-double-dot_x = A_x, so P = A_x / a-double-dot_x, where A_x is the present value of the death benefit and a-double-dot_x is the present value of a 1-per-year life annuity.

The net premium matters because it is the honest 'cost of the risk' that everything else is built on top of. Real prices (gross premiums) add expenses and profit; reserves are computed from net premiums; and comparing the net premium to the actual charge tells you how much loading an insurer is adding. A common confusion: the net premium is an average over many policyholders, not a prediction for any one person — most pay in and never collect the benefit early, which is exactly how pooling works.