Insurance Combined Ratio Calculator
Enter a consistent set of insurance-period figures to calculate loss, expense, combined, and operating ratios. The results also show the loss and loss-adjustment expense amount that would bring underwriting to break-even.
Statutory combined ratio after dividends86.81%
- Loss and LAE ratio
- 63%
- Statutory expense ratio
- 23.81%
- Statutory combined ratio before dividends
- 86.81%
- Financial-basis combined ratio
- 88%
- Underwriting profit or loss
- $1,200,000.00
- Underwriting margin
- 12%
- Operating ratio
- 84%
- Break-even loss and LAE allowance
- $7,500,000.00
- Loss and LAE headroom
- $1,200,000.00
Uses the statutory expense denominator of net written premium and the financial-basis denominator of net earned premium.
All inputs should cover the same reporting period and be on the same net or gross basis.
How to use this calculator
- Enter net earned premium and net written premium after the same reinsurance adjustments.
- Enter incurred losses and loss adjustment expenses, including the period’s reserve movement.
- Enter underwriting expenses and any policyholder dividends incurred in the period.
- Add net investment income to see the simplified operating ratio, then compare the two combined-ratio bases.
How the insurance combined ratio is calculated
The combined ratio measures underwriting results before investment income. It brings together the cost of claims, claim adjustment, underwriting expenses, and, where applicable, policyholder dividends. A result below 100% means the entered premium exceeds the modeled underwriting costs; 100% is underwriting break-even on that basis.
This calculator first calculates the loss and LAE ratio as (incurred losses + loss adjustment expenses) ÷ net earned premium × 100. It then calculates the statutory expense ratio as underwriting expenses ÷ net written premium × 100. The statutory combined ratio before dividends is the sum of those two ratios. The after-dividends version adds policyholder dividends ÷ net earned premium × 100.
The financial-basis combined ratio instead puts all modeled costs over earned premium:
(losses + LAE + underwriting expenses + policyholder dividends) ÷ net earned premium × 100
That distinction matters when written and earned premium differ. Written premium reflects policies issued in the period, while earned premium reflects the expired coverage portion. During rapid growth, contraction, or a material change in reinsurance, the statutory and financial-basis figures can therefore move apart without an arithmetic error.
Underwriting profit, operating ratio, and loss capacity
Underwriting profit or loss is net earned premium − losses − LAE − underwriting expenses − policyholder dividends. Dividing it by net earned premium gives the underwriting margin. A negative amount is an underwriting loss, and a negative headroom amount means actual losses and LAE are over the modeled break-even allowance.
The operating ratio subtracts net investment income as a percentage of earned premium from the financial-basis combined ratio. It is useful for a simple view of how investment income offsets insurance costs, but it is not a full profitability measure. A negative operating ratio is mathematically possible when entered investment income is larger than the modeled insurance costs.
The break-even loss and LAE allowance solves the underwriting equation backward: net earned premium − underwriting expenses − policyholder dividends. It is the maximum combined loss and LAE amount consistent with financial-basis underwriting break-even. The remaining headroom is that allowance less actual losses and LAE.
What this calculator leaves out
This is not a statutory statement, actuarial reserve analysis, or audit. It does not normalize catastrophes, prior-year reserve development, taxes, realized gains and losses, financing costs, or classification differences among insurers. Use amounts from one reporting period and one gross or net basis; mixing written and earned periods or gross and net figures can make the ratios misleading.
Worked example
Suppose an insurer has $10,000,000 of net earned premium, $10,500,000 of net written premium, $5,500,000 of incurred losses, $800,000 of LAE, $2,500,000 of underwriting expenses, no policyholder dividends, and $400,000 of net investment income.
Loss and LAE are $6,300,000, so the loss and LAE ratio is 63.00%. The statutory expense ratio is $2,500,000 ÷ $10,500,000, or 23.81%, producing a 86.81% statutory combined ratio. On the financial basis, costs are $8,800,000 ÷ $10,000,000, or 88.00%. Underwriting profit is $1,200,000, the operating ratio is 84.00%, and the remaining loss and LAE headroom is $1,200,000.
Common questions
What does an insurance combined ratio measure?
A combined ratio compares insurance underwriting costs with premium. It combines a loss ratio with an expense ratio, and may include policyholder dividends depending on the reporting basis. It measures underwriting performance before investment income.
Is a combined ratio below 100% always profitable?
It indicates an underwriting profit under the inputs and basis used, but it does not prove overall company profitability. Taxes, investment gains and losses, financing costs, reserve changes, and accounting classifications can change total earnings. A ratio should also be read alongside reserve adequacy and the reporting period.
Why does the expense ratio use written premium?
The traditional statutory-style presentation commonly divides underwriting expenses by written premium because many acquisition and policy-writing costs arise when coverage is written. Losses and LAE are usually compared with earned premium because they relate to coverage provided during the period. Other financial presentations may put every cost over earned premium instead.
Are loss adjustment expenses included in the loss ratio?
In this calculator, yes: the loss and LAE ratio includes both incurred losses and loss adjustment expenses. Keeping LAE separate as an input makes the included claim-handling cost visible. Do not add LAE again to an expense ratio that already includes it.
Can an insurer make money with a combined ratio above 100%?
Yes. A combined ratio above 100% means an underwriting loss on the selected basis, but investment income and other income can still produce overall profit. The operating ratio in this calculator shows only a simplified investment-income offset, not complete net income.