Combined Ratio Calculator

The combined ratio measures the money flowing out of an insurance company in the form of claims and expenses relative to the money coming in through premiums. The mathematical model relies on two primary equations. First, total loss expense is calculated by adding claim loss and loss adjustment expenses: loss_expense = claim_loss + loss_adj. Second, the combined ratio is derived by dividing the sum of total loss expenses and underwriting expenses by earned premiums: combined_ratio = (loss_expense + underwriting_expense) / premiums. A ratio below 100% signifies an underwriting profit, while a ratio above 100% indicates that the insurer is paying out more in claims and expenses than it collects in premiums.

Imagine an insurance provider evaluates its performance for the previous fiscal year and records the following financial metrics: Claim losses total $4,500,000, loss adjustment expenses equal $500,000, general underwriting expenses reach $3,000,000, and total earned premiums stand at $10,000,000. First, we compute the total loss expense by adding claim losses ($4,500,000) and loss adjustment expenses ($500,000), which yields $5,000,000. Next, we add the underwriting expenses ($3,000,000) to the total loss expense ($5,000,000) to get $8,000,000 in total outlays. Finally, we divide $8,000,000 by the earned premiums of $10,000,000, resulting in a combined ratio of 0.80 or 80%. This stellar 80% combined ratio demonstrates that the firm generates a healthy 20% underwriting profit before accounting for investment income.

When analyzing insurance profitability, always remember that the combined ratio excludes investment income; a company with a ratio slightly above 100% can still remain profitable if its investment returns are robust. Secondly, keep a close eye on loss adjustment expenses, as legal fees and claims processing overhead can quietly inflate your total loss figures. Finally, compare combined ratios across peers within the exact same insurance sector, since property and casualty baselines differ significantly from life or health insurance norms.