Insurance & Risk Management Life Insurance Human life value (Huebner) method — growing annuity present value

Human Life Value (HLV) Calculator

Human life value asks a narrower question than a needs analysis: what is the present value of the earnings a person will contribute to others over the rest of their working life? You take gross income, strip out the tax that never reaches the household and the share the earner consumes themselves, grow what is left at a wage growth rate, and discount it back at a return rate. The result is the economic loss a death would cause, and it is the figure life underwriters use to test whether a requested face amount is justified.

Calculator

This calculator runs in your browser. Enable JavaScript for live results — the inputs, formula and worked example below remain fully readable without it.

Inputs this calculator takes, with typical values
InputWhat to enterExample
Current ageAge of the person being valued, at the date of the calculation.40 yr
Expected retirement ageAge at which earned income stops. The valuation covers only the years between now and this age.65 yr
Gross annual incomeCurrent earned income before tax, including reliable bonus and commission.95000 $
Annual income growthExpected nominal rate at which earnings rise, combining promotion and general wage inflation.3 %
Effective tax rate on earningsCombined income and payroll tax as a share of gross income — your total tax divided by gross pay, not your top bracket.22 %
Share the earner consumesPortion of after-tax income spent on the earner alone — their food, clothing, transport and personal costs.25 %
Discount rateReturn assumed on the lump sum while it replaces the missing income. Keep it conservative.5 %

It returns

  • Human life value — Present value of the earnings this person will contribute to others.
  • Remaining working years
  • Contribution to others in year one — Gross income after tax and after the earner's own consumption.
  • Nominal lifetime gross earnings — Sum of the undiscounted gross salary stream, for scale.
  • Value per remaining working year
  • Multiple of current income — Human life value divided by gross income — the figure underwriters compare against their age-banded limits.

The formula

HLV=C1(1+g1+d)ndg
C=I(1t)(1s)

In plain text: HLV = C × [1 − ((1+g)/(1+d))^n] / (d − g), where C = income × (1 − tax) × (1 − self-consumption)

  • HLVHuman life value — present value of contributions to others ($)
  • CFirst-year contribution: gross income after tax and self-consumption ($)
  • gAnnual growth in earnings (decimal)
  • dDiscount rate applied to future earnings (decimal)
  • nRemaining working years: retirement age minus current age (years)

This is the growing-annuity present value. When g equals d the expression is indeterminate and the correct limit is C·n/(1+d), which the calculator uses.

Updated Category Life Insurance Verified against published test cases Reading time 12 min

What human life value measures, and what it deliberately ignores

Human life value is the present value of the money a person will hand to other people over the rest of their working life. Solomon Huebner set it out in the 1920s as an argument that a person's earning capacity is an asset like any other, and that insuring it is no different from insuring a factory. The method is still what a life underwriter reaches for when a proposed face amount looks large relative to the applicant's income.

Three subtractions define it. Tax comes off because the government's share never reaches the household. Self-consumption comes off because the earner spends part of what remains on themselves, and that spending stops with them. What is left is the contribution to others, and that is what a death destroys.

Now what it ignores, because the omissions are the reason it is not a substitute for a needs analysis:

  • Existing assets and coverage. Human life value is a gross figure. A person with $2 million already saved has the same human life value as an identical earner with nothing.
  • Actual household obligations. A mortgage, an education target, a dependant with lifelong needs — none of these appear. The method values the earner, not the household.
  • Unpaid work. A stay-at-home parent has a human life value of zero under this method, which is plainly false in economic terms and is the clearest illustration of its scope.
  • Life after retirement. The stream stops at the retirement age you enter.

The complementary tool is the needs analysis calculator, which starts from obligations and subtracts what already exists. Run both. Where they disagree sharply, the disagreement itself is informative — usually it means either substantial existing assets or an unusually long earning horizon.

The growing annuity, and why the two rates fight

Each future year contributes C(1+g)t−1 divided by (1+d)t. Factor out C/(1+d) and what remains is a geometric series in k = (1+g)/(1+d), which sums in closed form to the growing-annuity expression in the formula block.

The whole valuation turns on the spread between d and g, not on either rate alone. A 6% discount against 3% growth gives the same factor as 8% against 5%, because k is almost identical. That is worth knowing because it tells you which argument to have: not whether stocks return 7% or 9%, but whether wages grow faster or slower than the payout can be invested, and by how much.

When d equals g the closed form divides by zero. The limit is well defined — every term becomes C/(1+d) and there are n of them, so the value is C·n/(1+d) — and the calculator switches to it. If you set both rates to 4% over 25 years on a $60,000 contribution you get 60,000 × 25 ÷ 1.04 = $1,442,308, which is a useful reference point: it is what the method gives when growth and return exactly offset.

When growth exceeds the discount rate the factor still resolves, because both the numerator and the denominator turn negative and the ratio stays positive. The valuation gets large and gets very sensitive to both inputs, which is why underwriters do not accept it. If your assumptions put wage growth above what a conservatively invested lump sum earns, you are asserting something aggressive and should say so explicitly.

Self-consumption is where the judgement lives. The share of after-tax income an earner spends on themselves falls as household size rises — the same person consumes a larger fraction of the budget living alone than supporting four. A single earner in a family of four commonly lands in the 20% to 30% range. Halving that assumption from 30% to 15% raises the valuation by 21.4%, which is (1−0.15)/(1−0.30) − 1, so it deserves more thought than it usually gets.

Worked example: a 40-year-old earning $95,000

A 40-year-old earns $95,000 and expects to retire at 65. Their effective combined income and payroll tax rate is 22%. They consume about 25% of after-tax income themselves. You assume 3% annual income growth and a 5% discount rate.

  1. Remaining working years. 65 − 40 = 25 years.
  2. After tax. $95,000 × (1 − 0.22) = $74,100.
  3. After self-consumption. $74,100 × (1 − 0.25) = $55,575. This is the year-one contribution to others.
  4. Growth-to-discount ratio. k = 1.03 ÷ 1.05 = 0.98095238.
  5. k to the 25th power. 0.9809523825 = 0.6182984.
  6. Growing annuity factor. (1 − 0.6182984) ÷ (0.05 − 0.03) = 0.3817016 ÷ 0.02 = 19.08508.
  7. Human life value. $55,575 × 19.08508 = $1,060,653.

Three readings of that figure. As a multiple of income it is 1,060,653 ÷ 95,000 = 11.2 times, which sits comfortably inside what carriers allow at age 40. As a value per remaining working year it is 1,060,653 ÷ 25 = $42,426. And for scale, the undiscounted gross salary stream over those 25 years — $95,000 growing at 3% — totals $3,463,630, so the human life value is 30.6% of lifetime gross pay. That ratio is the combined effect of tax, self-consumption and discounting, and seeing it stated helps explain to a client why a seven-figure policy on a $95,000 salary is not extravagant.

How to read the result

Read it as a ceiling, not a target. Human life value is the largest defensible face amount on economic grounds. Whether you should buy it depends on what you already have, and that is a needs-analysis question. An applicant with substantial assets can have a large human life value and a small insurance need at the same time; the two figures are answering different questions and neither is wrong.

The multiple of income is the number an underwriter uses. Carriers publish age-banded income multiples as a first screen — higher multiples at younger ages, because a 30-year-old has more earning years left. If your calculated value sits inside the band for your age, financial underwriting is routine. If it sits outside, expect a request for tax returns, a financial questionnaire, or a written justification, and expect the carrier to consider a lower face amount.

The value falls every year, and the shape of the fall matters. Look at the reference table: at these assumptions the same earner is worth $1.49 million at 25 and $255,000 at 60. That decline is not linear — it steepens as retirement approaches, because the years being lost are the near ones that discount least. It is the reason a term ladder tracks the real exposure better than a single level policy, and the term ladder calculator prices that structure.

Test the self-consumption assumption before anything else. It moves the answer proportionally and it is the input people guess at. Work it out from the household budget: what fraction of after-tax spending would actually stop? For a household with children the answer is usually smaller than people expect, because housing, utilities and transport are largely fixed.

Human life value across ages, at $95,000 of income

Computed at 22% tax, 25% self-consumption, 3% income growth, 5% discount and retirement at 65 — a $55,575 first-year contribution in every row. Only the number of remaining working years changes.
AgeYears to retirementHuman life valueMultiple of gross income
2540$1,491,19315.7×
3035$1,361,23814.3×
3530$1,218,16612.8×
4025$1,060,65311.2×
4520$887,2439.3×
5015$696,3307.3×
5510$486,1485.1×
605$254,7512.7×

Each row is the growing-annuity formula evaluated at that number of remaining years. The income figure is held at today's $95,000 rather than aged, so the table isolates the effect of the shrinking horizon.

Assumptions and limits you should state out loud

  • It values earnings, not people. Unpaid household work scores zero. Run a separate valuation for a non-earning spouse using the market cost of replacing what they do.
  • It ignores everything you already own. Human life value is gross. Subtracting assets and existing coverage is the needs approach's job, not this one's.
  • It assumes a smooth career. Real earnings histories have promotions, redundancies, career changes and health interruptions. A single growth rate averages all of that away.
  • It stops at retirement. Pension income, Social Security and the survivor benefits attached to them are outside the calculation, and for an older applicant they can be the larger part of what survivors actually lose.
  • Effective tax rate, not marginal. Using a 32% top bracket where the effective rate is 22% understates the contribution by 12.8% — (1−0.32)/(1−0.22) − 1 — and understates the valuation by the same proportion.
  • The discount rate must be one a survivor would actually earn. The lump sum is normally invested conservatively. A high discount rate shrinks the answer; an aggressive one shrinks it in a way you cannot defend to an underwriter.

The same arithmetic appears in wrongful-death litigation

Forensic economists compute a very similar quantity when they estimate the economic loss in a wrongful-death or serious-injury case: expected earnings over a work-life expectancy, net of taxes and personal consumption, discounted to present value. The differences are mostly in rigour rather than in structure — a court-facing report uses published work-life expectancy tables rather than a single assumed retirement age, tracks age-earnings profiles rather than one growth rate, and often adds the value of employer-provided benefits and household services. If you are reading an economist's report, the terms you will see are the same ones on this page, and the human life value figure here is the simplified version of the same idea.

Key terms

Self-consumption
The share of after-tax income the earner spends on themselves rather than on dependants. It is subtracted because that spending stops at death, so survivors do not lose it.
Growing annuity
A stream of payments that rises by a constant percentage each period. Its present value has a closed form, which is the formula this calculator uses.
Financial underwriting
The insurer's assessment of whether a requested face amount is justified by the applicant's economic circumstances. Income multiples by age are the first screen; human life value is the substantive test behind them.
Work-life expectancy
The expected number of remaining years of labour force participation, allowing for unemployment, disability and mortality. Forensic economists use published tables rather than a single retirement age.

Choosing between the three sizing methods

Human life value answers what your earning capacity is worth. Use it when the question is the size of the economic loss — financial underwriting, a buy-sell agreement, key-person cover on an employee, or a divorce settlement securing support obligations. It gives the largest of the three numbers because it subtracts nothing you already own.

The needs approach answers what your household would have to fund. Use it to decide what to buy. It is the method a planner works from, and it is the one that produces a number you can walk through line by line with the person who would live on it. The needs analysis calculator works it fully.

DIME — debt, income, mortgage, education — answers whether you are in the right postcode. It takes two minutes and does not discount, so it overstates the income component. Use it as a sanity check, which is what the DIME calculator is for.

Once you have a face amount, the product decision follows. Most of what human life value measures is temporary: it declines to zero by retirement, and a level policy held to age 85 is insuring an exposure that ended twenty years earlier. That argues for term, structured to decline with the need. Where the exposure genuinely is permanent — estate liquidity, a dependant with lifelong needs, a business obligation that outlives your career — the term versus whole life comparison and the cash value return calculator are where to take that decision.

Frequently asked questions

What is the human life value method?

It is the present value of the income a person will contribute to others over the rest of their working life. You take gross earnings, subtract tax and the share the earner consumes themselves, grow the remainder at an assumed wage growth rate, and discount it back at an assumed return. A 40-year-old earning $95,000 with 25 working years left, 22% tax, 25% self-consumption, 3% growth and a 5% discount rate has a human life value of about $1.06 million.

How is human life value different from a needs analysis?

Human life value measures what your earnings are worth; a needs analysis measures what your household would have to fund and then subtracts what it already has. Human life value ignores assets, existing coverage, the mortgage and every other specific obligation. It therefore gives a larger number and answers a different question — it is the ceiling an underwriter will justify, not the amount you necessarily need to buy.

Why is self-consumption subtracted?

Because that spending stops when the earner does, so survivors never lose it. Their food, clothing, commuting, personal insurance and discretionary spending all disappear from the household budget. The share falls as the household grows — a single earner supporting three others typically consumes 20% to 30% of after-tax income — and it is worth deriving from the actual budget, because the valuation moves in direct proportion to it.

What multiple of income will an insurer allow?

Carriers publish age-banded income multiples and they vary by company, so check the one you are applying to. The pattern is consistent: the highest multiples at the youngest ages, falling steadily toward retirement, because remaining earning years are what the multiple is standing in for. Human life value is the underlying calculation those bands approximate, which is why an applicant whose calculated value sits inside the band gets routine treatment and one outside it gets a financial questionnaire.

What discount rate should I use?

Use a rate a survivor could actually earn on a conservatively invested lump sum, and pay attention to the spread between it and your growth assumption rather than to its level. A 6% discount against 3% growth gives nearly the same answer as 8% against 5%, because only the ratio matters. Somewhere between 2 and 4 percentage points above your wage growth assumption is a defensible planning spread.

Does human life value apply to a stay-at-home parent?

Not as written, because the method values earned income and there is none. That is a genuine limitation rather than a genuine answer. The usual workaround is to value the market cost of replacing the work — childcare, transport, household management — and run it through the same formula as the income figure with self-consumption set low, since almost all of that value flows to others.

Why does the value drop so fast in the last ten years of work?

Because the years being lost are the near ones, and near years discount least. Every year that passes removes a full year of contribution from the front of the stream while the far end has already been shrunk heavily by discounting. In the table on this page the drop from age 55 to 60 is $231,397, against $129,955 from age 25 to 30 — roughly 1.8 times as much value lost over the same five years, on the same income.

Should income growth ever exceed the discount rate?

You can enter it and the formula resolves, but treat the result with suspicion. Assuming wages grow faster than a conservatively invested lump sum can earn produces large valuations that swing sharply on small changes to either rate, and underwriters will not accept it. If you find you need that assumption to justify a face amount, the honest conclusion is that the face amount is not supported by this method.

References

  • The Economics of Life Insurance — S. S. Huebner, D. Appleton-Century Company
  • Life Insurance Buyer's GuideNational Association of Insurance Commissioners (NAIC)
  • Fundamentals of Insurance Planning — The American College of Financial Services