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Life Table Survival Probability Calculator

Work out life table survival probability instantly with clear inputs, formula shown and shareable results.

About Life Table Survival Probability Calculator

A life table records the number of survivors lₓ at each age. The chance of living another n years is simply the ratio of survivors, ₙpₓ = lₓ₊ₙ/lₓ, and the complement is the probability of death within that window.

Formula

Survival probability

ₙpₓ = lₓ₊ₙ / lₓ; ₙqₓ = 1 - ₙpₓ

lx
Lives at age x
n
Years

Worked example

With the default values below, Life Table Survival Probability Calculator returns Probability Of Surviving n Years (ₙpₓ) of 95.7895%. Change any input above and every figure here is recalculated in your browser.

Inputs used

Lives At Age x (lₓ)accepts 1–10,000,000
95,000
Lives At Age x+n (lₓ₊ₙ)accepts 0–10,000,000
91,000
Years naccepts 1–100
5

Results

Probability Of Surviving n Years (ₙpₓ)
95.7895%
Probability Of Dying Within n Years (ₙqₓ)
4.2105%
Equivalent Annual Mortality Rate
0.8567%
Deaths Over The Period
4,000

Step by step

  1. 1Values used
  2. 2Survival probability
  3. 3Probability Of Surviving n Years (ₙpₓ)= 95.7895
  4. 4Probability Of Dying Within n Years (ₙqₓ)= 4.2105
  5. 5Equivalent Annual Mortality Rate= 0.8567
  6. 6Deaths Over The Period= 4,000

Assumptions and limits

  • The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

What is the equivalent annual rate for?

It converts the multi-year probability into the constant yearly mortality that would produce the same n-year survival, which makes different intervals comparable.

Do these tables allow for improving mortality?

Static tables do not. Projected or generational tables apply improvement factors by year of birth.

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Life Table Survival Probability Calculator | Calcrivo