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Whole Life Insurance Loss Probability Calculator

This calculator converts a user-supplied annual probability of death into a cumulative probability over multiple years. It is intended for simple sensitivity testing around a whole life insurance horizon, not for determining an insured person's mortality rate.

The calculation assumes the same independent annual probability each year. Real actuarial mortality changes with age and underwriting characteristics, so the result should be treated as a mathematical scenario based entirely on the rate you enter.

Convert an annual probability into a multi-year probability

%
years
Result
—
Cumulative probability of at least one modeled loss
Modeled no-loss probability—
Annual probability—
Time horizon—

1. Supply an annual probability
Enter the annual probability you want to test. The calculator does not infer it from age or health.

2. Set the horizon
Choose how many years the same annual probability will be applied.

3. Review cumulative probability
The main result shows the chance of at least one loss across the full horizon under the constant-rate assumption.

4. Check the complementary probability
The no-loss result shows the chance of avoiding the modeled event through all selected years.

5. Use it as a sensitivity test
Try several annual rates to see how compounding changes cumulative probability over longer horizons.

Cumulative loss probability = 1 − (1 − Annual probability)^Years No-loss probability = (1 − Annual probability)^Years

The annual percentage is converted to a decimal before exponentiation. The same rate is assumed in every year and annual events are treated as independent.

What the result means

The result is the modeled chance of at least one death event over the selected years under a constant annual probability.

This is not an actuarial mortality table, underwriting estimate, or individual life-expectancy forecast.

Given: Annual probability = 0.8%; horizon = 20 years.

Calculation: No-loss probability = (1 − 0.008)^20 = 0.8516, or about 85.16%. Cumulative loss probability = 1 − 0.8516 = 0.1484.

Result: Cumulative modeled loss probability ≈ 14.84%.

Interpretation: Holding the annual rate constant makes the multi-year probability larger than a single-year rate, but the assumption is deliberately simplified.

Why not multiply the annual rate by the number of years?

Simple multiplication can overstate probability because it ignores the shrinking set of no-loss paths. The complement formula compounds the probability correctly under a constant independent annual rate.

Where should the annual probability come from?

Use a rate from a source appropriate to your analysis. This tool deliberately does not choose a mortality assumption for you.

Can the cumulative probability exceed 100%?

No. The complement formula always keeps the result between 0% and 100% when the annual input is between those limits.

Does this reflect aging?

No. It holds the annual probability constant, while real mortality generally changes with age and other factors.

Is this the same as the chance an insurer pays a claim?

Not necessarily. Claim payment also depends on whether the policy is in force and on contract terms, exclusions, contestability, and other administrative factors.