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Net written premium (NWP), The total premium on insurance underwritten by an insurer during a specified period after the deduction of premium applicable to reinsurance. What Are Net Premiums Written? Net premiums written is the sum of premiums written by an insurance company over the course of a period of time, minus premiums ceded to reinsurance companies, plus any reinsurance assumed. What Is Gross Net Written Premium Income (GNWPI)?. Gross Written Premium (GWP) — the total premium (direct and assumed) written by an insurer before deductions for reinsurance and ceding commissions. In the insurance industry, gross premiums written is the sum of both direct premiums written (see next paragraph) and assumed premiums written, before.