Survival Probability Calculator
This survival probability calculator estimates the probability that a person of a given age and sex will survive at least a specified number of additional years. It uses the Social Security Administration's 2021 Period Life Table, which provides age-specific mortality rates q(x) for US males and females. The n-year survival probability is computed as the product of annual survival rates (1 minus q(x)) over consecutive ages. Actuaries, retirement planners, and insurance analysts use survival probabilities to price annuities, estimate life expectancy, and calculate actuarial reserves. Enter your current age, sex, and the number of years you want to project forward.
Survival probability formula
n-p-x = product of (1 - q(x+k)) for k = 0 to n-1
Where q(x) is the annual mortality rate at age x from the SSA Period Life Table. The product of annual survival rates over n years gives the probability of surviving the entire period.
Understanding survival probabilities
- A survival probability of 0.85 means an 85% chance of surviving at least n more years.
- Females generally have lower mortality rates (higher survival probabilities) than males at the same age.
- Survival probabilities decrease as the projection horizon increases or starting age rises.
- These are population averages; individual health, genetics, and lifestyle alter personal probabilities.
- Actuaries use survival probabilities to price annuities: the present value of an annuity requires knowing the probability of being alive to receive each payment.
Survival probability: frequently asked questions
What does survival probability mean in actuarial science?
Survival probability, denoted n-p-x, is the probability that a person aged x survives at least n more years. It is derived from the SSA (Social Security Administration) Period Life Table by multiplying single-year survival rates (1 minus the mortality rate q-x) across consecutive ages.
What data source does this calculator use?
This calculator uses the SSA 2021 Period Life Table published by the Social Security Administration, which gives age-specific mortality rates q(x) for males and females. The table is available at ssa.gov/oact/STATS/table4c6.html.
How accurate are these survival estimates?
The SSA Period Life Table represents average US population mortality at a point in time. Individual survival depends on health, lifestyle, and socioeconomic factors not captured here. These estimates are for educational and planning purposes only, not medical or financial advice.
What is the difference between period and cohort life tables?
A period life table captures mortality rates at a single point in time across all ages. A cohort life table follows people born in the same year across their lifetimes. The SSA also produces cohort tables; period tables tend to understate life expectancy because future mortality improvements are not reflected.
Can I use this for insurance or retirement planning?
This calculator provides population-average actuarial estimates suitable for educational purposes. Insurance underwriting uses additional individual risk factors. For retirement or insurance decisions, consult a licensed actuary or financial adviser.
Official sources
- Social Security Administration: SSA 2021 Period Life Table.
- Society of Actuaries: SOA Mortality Table Research.
Reviewed by the CalculatorHub team, edited by James Graham, 15 June 2026. See our methodology.