Actuarial & Insurance
Basic

Loss Ratio

Claims paid divided by premiums earned.

Formula

LR=CPLR = \frac{C}{P}

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Variables

LRLoss ratio
CClaims paid
PPremiums earned

Example

$7M claims on $10M premium: LR = 70%

How it works

The loss ratio compares how much an insurer pays out in claims to how much premium it has earned over the same period. It works as a quick measure of underwriting performance: if claims are high relative to premium, the ratio rises; if claims are low, the ratio falls. Because both amounts are in money terms, the quotient tells you what share of premium is being used to cover losses.

When to use it

Use this formula in insurance to assess the profitability or riskiness of a product line, policy block, or reporting period. It is also useful for comparing different insurers, classes of business, or years on a consistent basis.

Worked example, step by step

An insurer earns $4,500,000 in premiums and pays $3,150,000 in claims. LR = C / P LR = 3,150,000 / 4,500,000 LR = 0.70 LR = 70% So, the loss ratio is 70%, meaning 70% of the earned premium was used to pay claims.

Common mistakes to avoid

  • Using written premiums instead of earned premiums when the question asks for loss ratio
  • Including expenses like commissions or administration costs in the claims amount
  • Forgetting to convert the decimal result into a percentage when reporting the ratio

Did You Know?

A loss ratio above 100% means an insurer is paying out more in claims than it collects — unsustainable without reserves.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026