3.2 Premiums, Loss Ratio, Expense Ratio, and Combined Ratio

An insurer can have a strong brand and still fail if it does not, over time, collect more than it pays in claims and expenses — or if it mishandles the cash it holds in between. AINS 101 measures that discipline with a small set of ratios you will see in management meetings, agency reviews, and financial-strength discussions. The trap is not the algebra. The trap is putting written premium in a ratio that needs earned premium, or parking loss adjustment expenses (LAE) in the wrong bucket.

Written Premium vs Earned Premium

Written premium is the total premium charged for policies issued (written) during a period, before considering how much coverage time has elapsed. If a producer binds a $12,000 annual package on January 1, that $12,000 is written premium in the first quarter even though eleven months of coverage remain.

Earned premium is the portion of premium that belongs to the coverage already provided. On March 31, three months of that annual policy have been earned: $3,000 earned, $9,000 still unearned. Unearned premium is a liability — the insurer has been paid, but has not yet provided the remaining coverage and might have to refund it on cancellation.

For a book of business, calendar-year earned premium is written premium plus the beginning unearned premium reserve minus the ending unearned premium reserve. Growth that writes a lot of new annual policies will show written premium running ahead of earned premium. That is not automatically profit. It is a timing difference. A regional personal-lines writer that doubles new-business auto in September will look busy on writings and still have most of that premium unearned at year-end.

Incurred Losses, LAE, and Underwriting Expenses

Incurred losses equal losses paid during the period plus the change in loss reserves, including estimates for incurred but not reported (IBNR) claims. A year with few checks written but a large increase in reserves is still a heavy loss year. Cutting checks slower does not improve incurred losses.

Loss adjustment expenses (LAE) are the costs of investigating and settling claims: independent adjusters, defense counsel on liability files, and claims-department operations. Allocated LAE (ALAE) attaches to a specific claim file. Unallocated LAE (ULAE) is claims overhead that is not billed to one claim.

Underwriting expenses (also called other underwriting expenses) are the costs of acquiring and servicing policies, not of paying claims: producer commissions, other acquisition costs, general expenses, and premium taxes, licenses, and fees. Putting a defense lawyer's bill into underwriting expenses, or putting an agent's commission into the loss ratio, is a classification error that will wreck both ratios.

Loss Ratio

The loss ratio asks: of the premium we have earned, how much was consumed by claims and claims handling?

Loss ratio = (incurred losses + LAE) / earned premium

Worked example. Earned premium is $10 million. Incurred losses plus LAE are $6.5 million. Loss ratio = $6.5 million / $10 million = 65%.

If someone divides the same $6.5 million by written premium of $12 million, they get about 54.2% and think results are better than they are. That is the classic mix-up. Losses belong to coverage already provided (earned), not to this month's production (written).

A second pass: earned premium $48 million, incurred losses and LAE $36 million. Loss ratio = 36 / 48 = 75%. Three-quarters of earned premium went to claims and claims handling. A hail year that spikes incurred losses without a matching earned-premium increase is how a 65% book becomes a 90% book in one quarter.

Expense Ratio (Trade Basis)

The common U.S. property-casualty presentation — often called the trade basis — puts expenses on written premium because commissions and premium taxes are incurred when the policy is written:

Expense ratio = underwriting expenses / written premium

Using the first book: underwriting expenses $3.0 million, written premium $12 million. Expense ratio = 3.0 / 12 = 25%.

Some financial presentations (a statutory or financial-basis expense ratio) divide underwriting expenses by earned premium instead. That is a different statistic. If you used earned premium $10 million as the denominator, $3.0 / $10.0 = 30%, and you would overstate the trade-basis expense ratio. On AINS items, state the formula you are using. This guide uses the common property-casualty trade-basis expense ratio — underwriting expenses over written premium — unless a question specifies otherwise.

Commissions of 15 points plus other expenses of 10 points on writings is a 25% expense ratio. That is a typical-looking independent-agency mix, not a law of nature. A direct writer with lower commission and higher advertising may show a similar total with a different mix. If writings collapse but salaries and rent do not, the expense ratio rises even when the loss ratio is quiet.

Combined Ratio and Investment Income

The combined ratio adds the two:

Combined ratio = loss ratio + expense ratio

First book: 65% + 25% = 90%. A combined ratio under 100 means an underwriting profit on this measure: losses, LAE, and underwriting expenses consumed less than the premium bases used in the ratios. A combined ratio over 100 means an underwriting loss. Equal to 100 is underwriting break-even.

Because the loss ratio uses earned premium and the trade-basis expense ratio uses written premium, the combined ratio is a hybrid. Analysts still use it universally as the underwriting scoreboard.

Third worked example. Written premium $50 million, earned premium $48 million, incurred losses and LAE $36 million, underwriting expenses $14 million.

• Loss ratio = 36 / 48 = 75%
• Expense ratio = 14 / 50 = 28%
• Combined ratio = 75 + 28 = 103%

Underwriting is three points underwater. That is not automatically a failed company. Insurers hold float — premium and surplus invested until claims are paid. Investment income can more than offset a modest underwriting loss. If this company earns a 5-point investment income ratio (investment income divided by earned premium), a simple operating ratio of 103 − 5 = 98 still shows overall operating profit. Insurers succeed with underwriting discipline and with investment of fiduciary cash, not with underwriting alone.

They also fail that way. A 118 combined ratio with thin surplus and a 3-point investment yield is not a strategy; it is a slow leak. Catastrophe years spike the loss ratio. Expense ratios creep when writings fall but fixed costs do not. In a quarterly results meeting, name which ratio moved and whether the denominator was written or earned — then act.

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