Profit Testing in Life Insurance: How Actuaries Evaluate New Business

In short: Profit testing projects the expected cash flows of an insurance product year by year — premiums received, claims paid, expenses, and reserve movements — to assess whether new business is value-creating. The output is a profit signature showing positive and negative cash flows at each duration. Key metrics are the new business IRR (the discount rate at which the PV of the profit signature is zero) and the payback period.

When an insurance company designs a new product, or reviews the pricing of an existing one, it needs to answer a simple question: at the premium rates proposed, will this product generate a return above the cost of capital? The answer comes from a profit test — a per-policy cash flow projection that models every income and outgo item from policy inception to maturity or expiry.

Profit testing bridges pricing, finance, and actuarial disciplines. The pricing actuary builds it; the CFO uses the output to allocate capital; the embedded value team incorporates it into the new business value (VNB) calculation. Understanding the structure and interpretation of a profit test is essential for anyone working at the intersection of finance and insurance.

The Components of a Profit Test

A profit test models the following cash flows for each policy year, per policy in force at the start of that year:

Income items:

• Premium income — the annual or monthly premium charged, net of premium tax if applicable.
• Investment income — return earned on assets backing the reserve held for this policy.
• Reserve release — when the reserve held for a policy decreases (e.g. because the policy matures or a portion of the cohort lapses), the released reserve is a cash inflow to the insurer.

Outgo items:

• Claims costs — the expected value of death or morbidity benefits paid in that year (= sum assured × qx for a life policy, adjusted for in-force proportion).
• Expenses — initial expenses (commission, new business processing) in year 1; renewal expenses (policy administration) in subsequent years.
• Reserve increase — the insurer must set aside an additional reserve if the liability grows. This is a cash outgo that reduces profit in the year it is incurred.
• Solvency capital cost — the cost of holding required regulatory capital above reserves (often modeled as the risk-free rate forgone on capital tied up in the business).

The profit in year n per policy is:

Profit(n) = Premium + Investment income + Reserve release
           − Claims − Expenses − Reserve increase − Capital cost

The Profit Signature

The profit signature is the series of profit values per policy in force for each year. It typically shows:

• Year 1: large negative — initial commission and new business expenses are front-loaded. Even if a claim is not expected, the costs in year one typically far exceed the premium received.
• Years 2–3: transitioning — expenses reduce as the initial cost is a one-off; premium income accumulates. The product approaches break-even.
• Years 4+: positive — the premium margin exceeds ongoing administration costs and expected claims. The product is generating profit.

Example profit signature for a 10-year term assurance policy (£000s per 1,000 policies initially in force):

Year 10 shows a large positive because the reserve is released at policy maturity (the term expires and no further liability exists). The sum of all yearly profits, discounted back to today, is the present value of the product — the new business value.

Calculating the New Business IRR

The IRR of the profit signature is the discount rate at which the present value of all future profits sums to zero — the rate at which the product exactly recovers all its costs in present value terms:

PV of profit signature = 0 when discounting at rate r

Σ [Profit(n) / (1 + r)^n] = 0

In Excel, use =IRR(profit_signature_range) where the range includes year 0 (the initial capital outlay, if any, or zero) followed by yearly profits. For the example above, the IRR might be 11–13% for a well-priced protection product in the current UK market.

The insurer’s hurdle rate (often its weighted average cost of capital or a risk-adjusted target return) determines whether the IRR signals value creation:

The payback period — the year in which the cumulative profit signature turns positive — is a secondary metric that indicates how long capital is at risk. A payback beyond year 4 is considered long for a protection product and may require adjustment to commission structure or expense loading.

Sensitivity of the Profit Test

A profit test is only as reliable as its assumptions. The three inputs with the greatest impact on IRR are:

Lapse rate assumption. Higher lapses in years one and two increase unrecovered acquisition costs and reduce the in-force base over which positive margins are spread. A 3-point increase in year-1 lapse rates can reduce IRR by 1.5–2.5 percentage points on a protection product.

Mortality assumption. For a term life product, higher actual deaths than assumed increase claims costs directly. The sensitivity depends on the ratio of sum assured to annual premium — high-multiple products (e.g. £500k sum assured on a £20/month premium) are highly sensitive to small changes in qx.

Expense assumption. Initial commission is often fixed contractually and cannot flex in the short term. If new business volumes fall below plan, the per-policy expense loading worsens because fixed costs are spread over fewer policies — the profit test may understate this risk if it only models unit costs.

Key Takeaways

• Profit testing projects per-policy cash flows (premiums, claims, expenses, reserve movements) year by year to assess whether a product is value-creating.
• The profit signature shows when the product swings from loss-making (year 1: high acquisition costs) to profit-generating (years 3+: margin accumulation).
• The new business IRR is the discount rate at which the profit signature PV equals zero. It should exceed the insurer’s cost of capital for the product to create value.
• Payback period — when the cumulative profit signature turns positive — indicates capital at risk duration.
• The most sensitive inputs are year-1 lapse rates, qx rates relative to assumption, and expense loading. Always run a sensitivity table across these three before finalizing the pricing.

Practice

Build a 20-year profit test for a whole-of-life protection policy (the policy pays on death at any time). Use: annual premium £600, sum assured £100,000, initial commission 100% of year-1 premium, renewal expenses £25/year from year 2, qx rates from the AM92 male table at entry age 45, lapse rates 10%/6%/4%/3%/2.5%+ by policy year, policy reserve = net premium reserve using 4% discount rate. Calculate the profit signature, the IRR, and the payback period. Then test sensitivity to a 20% adverse mortality shock (multiply all qx by 1.20) and a 5-point increase in year-1 lapse rate.