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Catastrophe Model Loss Calculator

Estimate catastrophe losses including expected annual loss, probable maximum loss, and exceedance probabilities.

About this calculator

The Catastrophe Model Loss Calculator estimates the two headline figures a catastrophe (cat) model produces for an insured portfolio: Expected Annual Loss (EAL), the average yearly loss over the long run, and Probable Maximum Loss (PML), the loss expected at a given return period such as a 1-in-100-year event. Expected Annual Loss is Total Insured Value multiplied by a hazard rate that scales with Area Hazard Level — a simplified five-tier scale from very-low to very-high exposure standing in for the geocoded peril modeling (hurricane, earthquake, flood zones) a real commercial cat model performs. Probable Maximum Loss scales with the square root of Return Period relative to a 10-year baseline, a simplified approximation of how loss severity grows with rarer, more extreme events in real catastrophe models, then subtracts the deductible amount (Total Insured Value times Deductible %) that the insurer doesn't have to pay.

Annual Exceedance Probability (AEP) is simply the reciprocal of Return Period expressed as a percentage — a 100-year return period corresponds to a 1% AEP — while Occurrence Exceedance Probability (OEP) runs slightly higher than AEP, reflecting that a single year can theoretically contain more than one qualifying loss event. Cat Load (%) adds Expected Annual Loss and Reinstatement Premium (the cost of restoring coverage after a loss depletes it) together as a share of Total Insured Value, giving a rough sense of how much catastrophe risk loading a rate filing needs to carry. This is a simplified planning tool, not a substitute for a licensed catastrophe model (RMS, AIR/Verisk, CoreLogic) for actual reinsurance pricing or regulatory filings.

Inputs

$
$

Results

Expected Annual Loss

$5,000,000.00

Probable Maximum Loss

$133,113,883.00

≈ 317 average U.S. homes

Annual Exceedance Prob (%)1%
Occurrence Exceedance Prob (%)1.15%
Cat Load (%)1.4%
How to Use This Calculator
  1. Enter Total Insured Value — the total dollar exposure of the portfolio to catastrophe risk.
  2. Select the Area Hazard Level (1 = Very Low to 5 = Very High) that best matches the portfolio's geographic exposure to hurricane, earthquake, or flood risk.
  3. Set Return Period (years) for the rare event you want to model — e.g. 100 years for a 1-in-100 event — and Deductible (%) to apply against modeled losses.
  4. Enter Reinstatement Premium — the cost of restoring coverage after a loss depletes it — to factor it into the cat load estimate.
  5. Review Expected Annual Loss (EAL) and Probable Maximum Loss (PML), along with Annual Exceedance Probability (AEP), Occurrence Exceedance Probability (OEP), and Cat Load (%), to set catastrophe reinsurance attachment points and limits.

How the result changes with Total Insured Value

Total Insured ValueExpected Annual LossProbable Maximum Loss
$250,000,000.00$2,500,000.00$66,556,942.00
$375,000,000.00$3,750,000.00$99,835,412.00
$750,000,000.00$7,500,000.00$199,670,825.00
$1,250,000,000.00$12,500,000.00$332,784,708.00

What each input means

Total Insured Value
Total insured value of the portfolio exposed to catastrophe risk
Return Period (years)
Return period for PML calculation (e.g., 100-year event)
Area Hazard Level
Geographic hazard exposure level (hurricane, earthquake, flood zones)
Deductible (%)
Percentage deductible applied to losses
Reinstatement Premium
Additional premium for reinstating coverage after a loss

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    5 parameters
    Total Insured Value = 500000000, Return Period (years) = 100, Area Hazard Level = 3, Deductible (%) = 5, Reinstatement Premium = 2000000 = 5 input(s) provided
  2. Calculate Expected Annual Loss
    Expected Annual Loss
    5000000 = $5,000,000
  3. Calculate Probable Maximum Loss
    Probable Maximum Loss
    133113883 = $133,113,883
  4. Calculate Annual Exceedance Prob
    Annual Exceedance Prob
    1 = 1%
  5. Calculate Occurrence Exceedance Prob
    Occurrence Exceedance Prob
    1.15 = 1.15%

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

What's the difference between Expected Annual Loss and Probable Maximum Loss?

Expected Annual Loss (EAL) is the average loss you'd expect per year if you could replay many years of catastrophe experience — it's a long-run average, appropriate for annual premium and reserve planning. Probable Maximum Loss (PML) is the loss expected at a specific rare-event severity, defined by Return Period — a 100-year PML is the loss level expected to be exceeded, on average, once every 100 years. PML is almost always far larger than EAL, since it represents a single severe tail event rather than an average across many mild-to-moderate years.

How does changing Return Period affect Probable Maximum Loss?

Probable Maximum Loss scales with the square root of Return Period relative to a 10-year baseline, so a longer return period (a rarer, more extreme event) produces a larger PML — a 500-year PML is meaningfully larger than a 100-year PML for the same portfolio. This approximates how real catastrophe models show loss severity growing with event rarity, though actual cat models use full simulated loss distributions rather than a single scaling formula.

What does Annual Exceedance Probability (AEP) mean in plain terms?

Annual Exceedance Probability is the chance, in any given year, that a loss at or above the modeled Return Period's severity actually occurs — mathematically, it's 1 divided by Return Period, expressed as a percentage. A 1-in-100-year event has a 1% AEP: not a guarantee it happens once per century on a fixed schedule, but a 1% chance in any single year, the same way a '100-year flood' can occur in consecutive years by chance.

Does Reinstatement Premium affect Expected Annual Loss or Probable Maximum Loss?

No. Reinstatement Premium — the cost of restoring reinsurance coverage after a loss depletes it — only feeds into Cat Load (%), which adds it to Expected Annual Loss as a share of Total Insured Value. It has no effect on the modeled Expected Annual Loss or Probable Maximum Loss figures themselves, which are driven purely by Total Insured Value, Area Hazard Level, Return Period, and Deductible %.

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