Combined Ratio Calculator

Measure underwriting profitability with the combined ratio.

How it is calculated

The tool expresses an insurer's costs as a share of the premium it has earned: loss ratio = incurred losses ÷ earned premium × 100, expense ratio = expenses ÷ earned premium × 100 and combined ratio = (incurred losses + expenses) ÷ earned premium × 100, which equals the sum of the other two. All three inputs are amounts in the same currency and for the same period, usually a year. Earned premium must be above zero and losses and expenses cannot be negative, otherwise no result is shown. A combined ratio under 100% is an underwriting profit and over 100% an underwriting loss. It excludes investment income, reinsurance effects and tax, and different companies group some costs differently, so compare ratios only when the definitions match.

Worked example

In a year an insurer has 10,000,000 of earned premium, 6,200,000 of incurred losses and 2,900,000 of underwriting expenses. The loss ratio is 6,200,000 ÷ 10,000,000 = 62%. The expense ratio is 2,900,000 ÷ 10,000,000 = 29%. Together, (6,200,000 + 2,900,000) ÷ 10,000,000 = 91%. The tool prints a combined ratio of 91.00%, a loss ratio of 62.00% and an expense ratio of 29.00%, so each premium unit leaves 9 of underwriting profit.

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Common mistakes

  • Using written premium instead of earned premium. Earned premium is the part of premiums that belongs to the period already elapsed, and the two can differ a lot for a growing book.
  • Using paid claims instead of incurred losses. Incurred losses include changes in reserves for claims not yet settled, so paid-only figures can make the ratio look better than it is.
  • Reading 91% as a 91% profit. It is the cost per unit of premium, so the underwriting margin is 100% − 91% = 9%, before investment income.
  • Mixing periods, such as annual losses against a single quarter of premium. All three inputs must cover the same period.
  • Entering a negative loss figure after a large recovery. Negative losses or expenses give no result, so net the recovery into the incurred figure and enter the total instead.

About this calculator

The combined ratio is the standard measure of an insurer's underwriting profitability — it adds incurred losses and operating expenses together and divides by earned premium: (Losses + Expenses) / Earned Premium. A combined ratio below 100% means the insurer made an underwriting profit (it collected more in premiums than it paid out and spent); above 100% means it lost money on underwriting alone, before any investment income is counted.

Analysts, investors, and insurance companies themselves track the combined ratio to judge how disciplined an insurer's pricing and claims management are, separate from how well its investment portfolio performs. Add incurred losses to underwriting expenses and divide by earned premium: the combined ratio, as a percentage, shows whether the insurer made an underwriting profit (below 100%) or a loss.

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