Mortality & Survival Probability Calculator
Probability of surviving a number of years from an annual mortality rate — the actuarial building block of life pricing.
Formula
Survival probability is the foundation of all life-insurance and annuity pricing. From an annual mortality rate qₓ (the chance of dying within a year at a given age), the probability of surviving n years is the product of surviving each individual year — and because mortality rises roughly geometrically with age (the Gompertz law, about 8–10% per year), the tool lets you compound qₓ upward over time rather than holding it flat. Insurers use detailed mortality tables instead of a single rate, but the multiplicative survival logic is identical. The same math drives pension-fund liabilities, annuity payout rates and the cost of insuring a life. Use realistic starting rates from a published table for meaningful results — a healthy 40-year-old's qₓ is well under 0.3%.
Educational/illustrative. Use a published mortality table for real pricing. Not actuarial or medical advice. Not financial advice — for informational and analytical use only. Verify all figures with a qualified professional before acting on them.
Need mortality & survival probability calculator results fast? Analysts, founders, traders and finance professionals use the Mortality & Survival Probability Calculator to skip the spreadsheet and get a defensible answer in one step — free, private and instant.
About Mortality & Survival Probability Calculator
Probability of surviving a number of years from an annual mortality rate — the actuarial building block of life pricing. Survival probability is the foundation of all life-insurance and annuity pricing. From an annual mortality rate qₓ (the chance of dying within a year at a given age), the probability of surviving n years is the product of surviving each individual year — and because mortality rises roughly geometrically with age (the Gompertz law, about 8–10% per year), the tool lets you compound qₓ upward over time rather than holding it flat. Insurers use detailed mortality tables instead of a single rate, but the multiplicative survival logic is identical. The same math drives pension-fund liabilities, annuity payout rates and the cost of insuring a life. Use realistic starting rates from a published table for meaningful results — a healthy 40-year-old's qₓ is well under 0.3%. The governing relationship is ₙpₓ = Π (1 − qₓ₊ₜ), with qₓ₊ₜ = qₓ × (1 + trend)ᵗ. The Mortality & Survival Probability Calculator computes entirely in your browser — free, private (your figures never leave your device) and instant, recalculating live as you change any input.
How to use Mortality & Survival Probability Calculator
- 1Enter Annual mortality rate (qₓ) (%), Number of years (yrs), Annual change in mortality (%) into the Mortality & Survival Probability Calculator.
- 2The result is computed automatically using ₙpₓ = Π (1 − qₓ₊ₜ), with qₓ₊ₜ = qₓ × (1 + trend)ᵗ — there is no button to press.
- 3Change any input to model a different scenario, then copy or share the result.
Why use Mortality & Survival Probability Calculator?
- ✓Computes mortality & survival probability calculator instantly with the correct formula — no spreadsheet needed
- ✓100% free and unlimited, with no sign-up, login or paywall
- ✓Runs entirely in your browser, so the figures you enter stay private
- ✓Shows the formula, a live worked example and references so you can defend the number
Frequently asked questions
What is the formula behind the Mortality & Survival Probability Calculator?+
Mortality & Survival Probability Calculator uses ₙpₓ = Π (1 − qₓ₊ₜ), with qₓ₊ₜ = qₓ × (1 + trend)ᵗ. Survival probability is the foundation of all life-insurance and annuity pricing. The tool substitutes your actual inputs into this relationship and shows the worked example step by step.
What inputs does the Mortality & Survival Probability Calculator need?+
Enter Annual mortality rate (qₓ) (%), Number of years (yrs), Annual change in mortality (%) and the result updates immediately — there is no button to press. Change any value to model a different scenario in real time.
Is the Mortality & Survival Probability Calculator free, and is my data private?+
Yes — it is completely free with no sign-up or usage limit, and it runs entirely in your browser, so the numbers you enter are never uploaded or stored on any server. Educational/illustrative. Use a published mortality table for real pricing. Not actuarial or medical advice. It is for informational and analytical use, not financial advice.
What should I watch out for when using the Mortality & Survival Probability Calculator?+
From an annual mortality rate qₓ (the chance of dying within a year at a given age), the probability of surviving n years is the product of surviving each individual year — and because mortality rises roughly geometrically with age (the Gompertz law, about 8–10% per year), the tool lets you compound qₓ upward over time rather than holding it flat. Insurers use detailed mortality tables instead of a single rate, but the multiplicative survival logic is identical. The same math drives pension-fund liabilities, annuity payout rates and the cost of insuring a life. Use realistic starting rates from a published table for meaningful results — a healthy 40-year-old's qₓ is well under 0.3%.
What is the Mortality & Survival Probability Calculator based on?+
The method follows authoritative sources: Actuarial survival function ₙpₓ; Gompertz mortality law. The formula and references are shown on the page so you can verify and cite the result.
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