Insurance calculators

Insurer ratios

Earned premium, incurred claims, loss ratio, expense ratio, combined ratio, operating ratio and the underwriting result.

Inputs

Results

Combined ratio
93.0%
Underwriting profit
Loss ratio
63.2%
Incurred 720
Expense ratio
29.8%
Operating ratio
87.7%
Operating result 140

Underwriting account

LineAmount
Earned premium1,140
Incurred claims-720
Expenses-340
Underwriting result80
Investment income60
Operating result140

Methodology

Conventions

  • Earned premium = written premium less the increase in unearned premium reserves. Incurred claims = paid claims plus the increase in claims reserves.
  • All ratios are to earned premium. The operating ratio deducts investment income.

References

  • Swiss Re Institute, sigma: definitions of insurance ratios.

Formulas

Loss ratio
\text{incurred} / \text{earned}
Combined ratio
(\text{incurred} + \text{expenses}) / \text{earned}
Operating ratio
\text{combined} - \text{investment income} / \text{earned}