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Calcimator

Loss Ratio Calculator

Calculate insurance loss ratios, expense ratios, combined ratios, and underwriting profitability metrics.

About this calculator

The Loss Ratio Calculator computes the standard actuarial metrics insurers use to judge underwriting profitability — Loss Ratio ("the percentage of incurred losses to earned premiums") and Combined Ratio ("the loss and expense ratios added together"), per the NAIC's own published Glossary of Insurance Terms. This calculator follows the NAIC/A.M. Best convention of bundling Loss Adjustment Expenses (LAE) — the cost of investigating and settling claims — together with Incurred Losses into a single Loss & LAE Ratio, divided by Earned Premiums and multiplied by 100; this is one of two common industry conventions (the other bundles LAE with underwriting expenses instead), and this calculator discloses which one it uses rather than presenting it as the only definition. Expense Ratio, under this convention, is Underwriting Expenses alone divided by Earned Premiums — LAE is excluded here since it's already counted in the Loss & LAE Ratio above.

Combined Ratio is simply Loss & LAE Ratio plus Expense Ratio: the standard shorthand insurers use to judge underwriting results at a glance, where a combined ratio above 100% means the insurer paid out more in claims and expenses than it collected in premium (an underwriting loss before investment income), and below 100% means an underwriting profit. Operating Ratio goes one step further, subtracting Investment Income Ratio (Net Investment Income divided by Earned Premiums) from Combined Ratio — insurers earn investment returns on premium they're holding before claims are paid out, so Operating Ratio is typically lower than Combined Ratio and gives a fuller picture of overall profitability, not just underwriting results in isolation. Underwriting Profit is computed directly as Earned Premiums minus Incurred Losses minus Underwriting Expenses minus Loss Adjustment Expenses, so a rise in either Incurred Losses or Underwriting Expenses pulls the profit figure down — more of either directly erodes what's left over. Note that Paid Losses is a distinct figure from Incurred Losses in real insurance accounting — Incurred Losses includes claims reserved but not yet paid out, while Paid Losses reflects only cash actually disbursed; this calculator tracks Paid Loss Ratio (Paid Losses / Earned Premiums) and LAE Ratio (LAE / Earned Premiums) separately as their own outputs alongside the headline ratios.

Inputs

$
$
$
$
$
$

Results

Loss & LAE Ratio

75%

Combined Ratio

95%

Underwriting Profit

$50,000.00

≈ 5 years of state college

Profit Margin

5%

Expense Ratio20%
Operating Ratio92%
Investment Income Ratio3%
Paid Loss Ratio65%
LAE Ratio5%

Figures current as of 2026. Source: National Association of Insurance Commissioners (NAIC), Glossary of Insurance Terms

How to Use This Calculator
  1. Enter incurred losses (paid plus reserved) and loss adjustment expenses (LAE, the cost of handling claims) for the period.
  2. Enter earned premium for the same period.
  3. Enter underwriting expenses (acquisition and operating costs) and net investment income earned on reserves.
  4. Review the Loss & LAE Ratio and Expense Ratio, then Combined Ratio (their sum).
  5. Check Operating Ratio — Combined Ratio adjusted downward for investment income — for a fuller profitability picture.
  6. Compare to the target loss ratio embedded in the rate filing; a combined ratio above 100% indicates an underwriting loss.

How the result changes with Earned Premiums

Earned PremiumsLoss & LAE RatioCombined RatioUnderwriting Profit
$500,000.00150%190%-$450,000.00
$750,000.00100%126.7%-$200,000.00
$1,500,000.0050%63.3%$550,000.00
$2,500,000.0030%38%$1,550,000.00

What each input means

Earned Premiums
Total earned premiums
Incurred Losses
Total incurred losses
Paid Losses
Total paid losses
Loss Adjustment Expenses
Expenses related to claims handling
Underwriting Expenses
Acquisition and operational expenses
Net Investment Income
Investment income earned on premium reserves and surplus while claims are held

How this is calculated

Formula

Loss & LAE Ratio = ((Incurred Losses + LAE) / Earned Premiums) × 100

Worked example, using the default values

  1. Identify Input Parameters
    6 parameters
    Earned Premiums = 1000000, Incurred Losses = 700000, Paid Losses = 650000, Loss Adjustment Expenses = 50000, Underwriting Expenses = 200000, Net Investment Income = 30000 = 6 input(s) provided
  2. Calculate Loss Ratio
    Loss Ratio
    75 = 75%
  3. Calculate Combined Ratio
    Combined Ratio
    95 = 95%
  4. Calculate Underwriting Profit
    Underwriting Profit
    50000 = $50,000
  5. Calculate Expense Ratio
    Expense Ratio
    20 = 20%
  6. Calculate Operating Ratio
    Operating Ratio
    92 = 92%

Figures and sources

Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

What is the exact formula for Loss & LAE Ratio?

Loss & LAE Ratio = ((Incurred Losses + Loss Adjustment Expenses) / Earned Premiums) x 100 — this bundles claims-handling expenses (LAE) together with the losses themselves, following the NAIC/A.M. Best convention. The NAIC's own Glossary of Insurance Terms defines Loss Ratio as "the percentage of incurred losses to earned premiums"; this calculator's Loss & LAE Ratio extends that base definition by folding LAE into the numerator, one of two conventions seen in practice. It measures what percentage of every premium dollar collected is being paid back out in claims and the cost of settling them, before underwriting expenses.

What does a Combined Ratio above 100% mean, and how does Operating Ratio differ from it?

Combined Ratio is Loss & LAE Ratio plus Expense Ratio. A combined ratio above 100% means the insurer's claims payouts, claims-handling costs, and operating expenses together exceeded the premium it collected — an underwriting loss before accounting for investment income. Operating Ratio goes one step further, subtracting Investment Income Ratio (Net Investment Income divided by Earned Premiums) from Combined Ratio — the standard NAIC/A.M. Best adjustment. An insurer can run a combined ratio slightly above 100% and still be overall profitable once investment income earned on held premium is factored in, which is exactly what a lower Operating Ratio reflects.

What's the difference between Incurred Losses and Paid Losses?

Incurred Losses includes both claims already paid out and claims reserved for future payment (known but not yet settled). Paid Losses reflects only the cash that has actually left the insurer's hands so far. This calculator's headline Loss & LAE Ratio uses Incurred Losses, matching the standard actuarial definition — Paid Losses is tracked as its own separate output, Paid Loss Ratio, rather than feeding into the headline ratio.

How is Underwriting Profit calculated?

Underwriting Profit = Earned Premiums minus Incurred Losses minus Underwriting Expenses minus Loss Adjustment Expenses. It's the dollar amount left over from premium after every claims and expense cost is subtracted — a positive figure means the insurer made money on underwriting alone, before any investment income on the premiums it holds.

Why does raising Earned Premiums lower my Loss & LAE Ratio if losses stay the same?

Loss & LAE Ratio is (Incurred Losses + LAE) divided by Earned Premiums, so with the numerator held constant, a larger premium base in the denominator produces a smaller ratio — the same dollar amount of claims and claims-handling cost represents a smaller share of a bigger premium pool. This is why insurers watching their loss ratio pay close attention to premium growth, not just claims trends, when judging whether pricing is adequate.

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