According to Health Care Risk Management principles supported by ASHRM and the American Hospital Association Certification Center, total incurred amounts include both paid amounts and reserves. Incurred expense equals expense paid plus expense reserves. Incurred indemnity equals indemnity paid plus indemnity reserves.
For Year 4:
Total incurred expense = $25,000 reserves + $15,000 paid = $40,000.
Total incurred indemnity = $150,000 reserves + $75,000 paid = $225,000.
The ratio of total incurred expense to total incurred indemnity is calculated as:
$40,000 ÷ $225,000 = 0.1778, which rounds to approximately 0.18.
However, among the answer options provided, the closest value is 0.20 only if rounded broadly. Since precise calculation yields approximately 0.18, the mathematically correct ratio is approximately 0.18.
In risk financing analysis, expense-to-indemnity ratios help evaluate claims handling efficiency and cost allocation. Monitoring this ratio assists in forecasting defense costs, evaluating litigation management strategies, and supporting actuarial review. Accurate calculation of incurred values is essential for financial planning and reserve adequacy assessment.