Calculate expected loss, mitigation ROI, risk scores, and sensitivity analysis. Includes risk matrix, breakeven analysis, and visual risk gauge.
The Risk Calculator computes expected loss, mitigation return on investment, risk scores, and sensitivity analysis for any risk scenario. Enter the probability of occurrence, potential impact, and mitigation details to get a complete risk assessment with visual aids.
Risk management requires quantifying uncertainty. The expected loss (probability × impact) gives the weighted average outcome, while the risk score helps categorize threats as low, medium, high, or critical. By comparing expected loss with and without mitigation, you can make data-driven decisions about where to invest in risk reduction.
This calculator includes a sensitivity analysis table showing how expected loss changes across probability levels, a risk matrix with five scenario levels, and a visual gauge that maps your risk on a color-coded scale. The ROI calculation tells you whether your mitigation investment is cost-effective. Check the example with realistic values before reporting. Use the steps shown to verify rounding and units. Cross-check this output using a known reference case.
Risk-based decision making requires quantifying uncertain events. This calculator transforms vague concerns into concrete numbers: expected costs, mitigation ROI, and risk scores. It's the foundation of enterprise risk management, project planning, and insurance pricing.
Project managers use it to prioritize risk responses, executives use it for capital allocation decisions, and insurers use expected loss calculations for premium setting. The sensitivity analysis is particularly valuable when probability estimates are uncertain.
Expected Loss = Probability × Impact. Mitigated Loss = Mitigated Probability × Impact. Benefit = Expected Loss − Mitigated Loss. ROI = (Benefit − Cost) / Cost × 100.
Result: Expected Loss = $15,000, Mitigated Loss = $5,000, ROI = 100%
Expected loss: 30% × $50,000 = $15,000. Mitigated: 10% × $50,000 = $5,000. Benefit: $10,000. ROI: ($10,000 − $5,000) / $5,000 = 100%. Mitigation is worthwhile.
Expected value is the cornerstone of quantitative risk analysis. By multiplying probability by impact, we convert uncertain future events into comparable dollar amounts. A 5% chance of a $1M loss ($50K expected) can be directly compared to a 50% chance of a $120K loss ($60K expected), enabling rational prioritization.
The decision to mitigate follows simple economics: mitigate when the benefit exceeds the cost (ROI > 0). However, real decisions also consider risk appetite, regulatory requirements, and cascading effects. A startup might accept risks that a Fortune 500 company would mitigate due to different risk capacities.
In practice, organizations maintain risk registers listing dozens or hundreds of identified risks. Each is scored using probability × impact, then plotted on a risk matrix. This calculator models the assessment for individual entries. The total portfolio expected loss is the sum of all individual expected losses, assuming independence.
Expected loss is the probability-weighted average cost of a risk: Probability × Impact. A 30% chance of losing $50,000 has an expected loss of $15,000. It represents the long-run average cost if you face this risk repeatedly.
ROI > 0% means the mitigation saves more than it costs (worthwhile). ROI = 100% means you save double your investment. ROI < 0% means mitigation is more expensive than the expected benefit — consider accepting the risk instead.
A risk matrix categorizes risks by probability and impact into levels (Low, Medium, High, Critical). It provides a quick visual assessment. The scenarios table shows five pre-defined levels from Very Low to Very High risk.
Not always. If mitigation costs exceed the expected benefit, it's economically rational to accept the risk. The ROI calculation helps make this decision. Also consider non-financial factors: reputation damage, safety, and regulatory requirements.
Sensitivity analysis shows how results change when you vary one input. The table varies probability from 10% to 90%, showing expected loss and mitigation benefit at each level. This reveals the breakeven point where mitigation becomes worthwhile.
Calculate expected loss for each risk independently, then sum them for the total risk portfolio expected loss. Prioritize mitigation for risks with the highest expected loss or highest ROI.