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Fair price of a term life quote: is it too high?

Work out the fair yearly price of a term life policy from death chances and compare it with the quote you were given.

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  1. Death chance
  2. Sum assured
  3. Fair price
  4. Vs quote
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Educational, not financial or insurance advice. fibub doesn't sell insurance, name insurers or pass on your details: it only works out the numbers you type. Check your policy wording and the official source before you decide.

The quote

Example numbers: change them to yours.

Chance of dying each year

Copy q for your age and sex from an official life table: US Social Security period life table, Statistics Canada life tables, or the India SRS abridged life tables from the Registrar General (checked 2026-11-10; check the official source). Adults' death rates roughly double every 8 years (Gompertz law), which is about 9% a year, and that is the default rise.

Fair price per year
Your quote divided by fair price
Chance the policy pays out
Chance it does not

Insured people die less often than the whole population in the first years, because they pass medical checks. So the fair price for an insured person is lower than shown here, and the true loading on your quote is higher than the figure above.

How it is worked out: the fair price P is paid at the start of each year while you are alive and equals the expected death benefit, paid at the end of the year of death: P = SA x sum of v^(k+1) x (chance alive at k) x q(k) divided by the sum of v^k x (chance alive at k), with v = 1 / (1 + interest). Insurer costs, profit, tax and medical selection are left out. Not financial or insurance advice. Nothing you type leaves this page.

What it does

A term policy pays only if you die in the term, so a fair yearly price can be worked out from the chance of dying each year. This tool does that sum, then shows how your quote compares: how many times the fair price it is, how likely the policy is to pay out, and how likely it is that it never does.

The fair price leaves out the insurer’s costs and profit, so a quote is expected to be higher. Insured people also pass medical checks, so they die less often than the whole population in the first years; the true loading on your quote is therefore higher than shown. The numbers are examples until you change them. To look up the death chance for your age use the life table, to decide the sum assured use how much life insurance do I need?, and to compare a savings policy use endowment, money-back and ULIP return (IRR).

How to use it

  1. Enter the sum assured, an interest rate and (if you have one) your quote per year.
  2. Enter the death chance q for your age from an official life table, the yearly rise and the term; or paste one q per year.
  3. Read the fair price, the loading and the claim chances.

What each setting does

  • Death chance (q): the chance of dying within a year at that age, as a decimal. 2.1 per 1,000 is 0.0021.
  • Yearly rise: how much q grows each year. 9% a year roughly doubles it every 8 years.
  • Interest: the return on premiums held until a claim. Higher interest lowers the fair price.
  • Pasted column: one q per year; the number of values is the term.

Worked example

Paste 0.1 and 0.1 for a 2-year policy of 1,000 with 0% interest. Year 1 pays 0.1 x 1,000 = 100 on average. Year 2 pays 0.9 x 0.1 x 1,000 = 90. Premiums are paid while alive: 1 + 0.9 = 1.9 years. The fair price is 190 / 1.9 = 100.00 a year, and the chance the policy pays is 19%.

FAQs

Why is my quote above the fair price? The insurer has costs, profit, tax and a safety margin. Smokers, health and age also change your own q.

Where do I find q? The official tables in the sources list give q by age and sex. Use the column for your age.

Is a high loading bad? It is only a comparison. Different policies have different terms, so read the wording too.

How it’s worked out: P = SA x sum of v^(k+1) x kp x q(k) / sum of v^k x kp.

Where the numbers come from

  • Equivalence principle: premium = expected present value of the death benefit divided by the expected present value of premiums. Death chances from the official life tables (US SSA period life table, Statistics Canada life tables, India SRS abridged life tables), checked 2026-11-10; check the official source. Gompertz law: adult death rates roughly double every 8 years. Checked: q 0.1 and 0.1 on 1,000 at 0% gives 100.00.

Standard scientific values, such as constants, atomic weights and melting points, are facts found in every textbook; we name where ours were checked. If you are an author or publisher and want a value, a credit or a table changed or removed, tell us and we will act quickly.

Last updated 2026-11-10.

Change log for Fair price of a term life quote

  1. Keep main's numbering: insurance stays #T824-#T835 (OCR moved to #T836 in #85) Details on GitHub
  2. Insurance tools move to #T825-#T836 so #T824 stays with Image to text Details on GitHub
  3. Insurance tools take the next free codes, #T824 to #T835 Details on GitHub
  4. Insurance tools: cross-links between the 12 tools and their share images Details on GitHub
  5. Add term-fair-price tool Details on GitHub

Every change to fibub

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