Lost Earning Capacity Present Value Calculator

Future wage loss is not worth its nominal total. A claimant who will lose $44,000 a year for the next eighteen years has not lost $792,000, because money received today can be invested and money received in year eighteen cannot. This calculator does what a forensic economist's report does: it grows the annual loss at a wage growth rate, discounts each year back to today at a market rate, adds the fringe benefits that go with the lost wages, and stops at the end of work-life expectancy. It shows the whole year-by-year schedule, because that is the exhibit an expert files.

Calculator

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Inputs this calculator takes, with typical values
InputWhat to enterExample
Pre-injury annual earningsBase wages the claimant was earning before the injury, before fringe benefits are added.68000 $
Post-injury earning abilityWhat the claimant can still earn in work they remain capable of, whether or not they hold that job today.24000 $
Fringe benefit loadEmployer-paid benefits as a percentage of wages — health insurance, retirement contributions, payroll taxes.22 %
Years of loss (work-life expectancy remaining)Remaining years of expected labour force participation, from a work-life expectancy table rather than a retirement wish.18 yr
Annual earnings growthExpected annual increase in the claimant's wages, combining inflation and real productivity growth.3 %
Discount rateThe safe rate at which a lump sum awarded today could be invested, normally tied to government bond yields.5 %
Age at the date of injuryUsed to label the schedule and to sanity-check the loss period against a plausible working life.42 yr

It returns

  • Present value of the lost earning capacity — The lump sum today that replaces the whole stream of future losses.
  • First-year loss including fringe benefits
  • Undiscounted total of the stream
  • Net discount rate — The discount rate net of wage growth — the only rate combination the answer really depends on.
  • Present value factor — Present value divided by the first-year loss; comparable to an annuity factor at the net discount rate.

The formula

PV=t=1NL0(1+g)t1(1+d)t
PV=L01kNdg
i=1+d1+g1

In plain text: PV = Σ L₀(1+g)^(t−1) / (1+d)^t, for t = 1 to N

  • PVPresent value of the lost earning capacity ($)
  • L₀First-year loss: the earnings differential grossed up for fringe benefits ($)
  • gAnnual earnings growth rate (decimal)
  • dDiscount rate (decimal)
  • NYears of loss — remaining work-life expectancy (years)

Losses are treated as arriving at the end of each year. The first year's loss is undiscounted for growth and discounted once.

Updated Category Injury Claims & Settlements Verified against published test cases Reading time 11 min

Lost earning capacity is not lost wages

The two phrases get used interchangeably and they are different claims. Lost wages are pay you actually missed: a documented, backward-looking figure supported by pay stubs and an employer letter. Lost earning capacity is forward-looking and hypothetical — the reduction in what you are now able to earn over the rest of your working life, whether or not you have taken a lower-paid job yet.

Capacity is what the damages award has to replace, and replacing it takes three ingredients. The first is the annual differential: what you could have earned less what you can still earn. The second is the fringe benefit load, because employer contributions to health insurance and retirement are part of the compensation the injury took away; the US Bureau of Labor Statistics publishes employer costs for employee compensation quarterly, and total benefits typically run to a substantial fraction of wages. The third is time: how many more years you would have worked, and what a dollar arriving in one of those years is worth today.

That last ingredient is what makes this a present value calculation rather than a multiplication. Awarding the undiscounted total would overcompensate, because the claimant receives the whole sum immediately and can invest it. Courts have required discounting to present value since Chesapeake & Ohio Railway Co. v. Kelly, 241 U.S. 485 (1916), and the Supreme Court laid out the modern framework — including the treatment of wage inflation — in Jones & Laughlin Steel Corp. v. Pfeifer, 462 U.S. 523 (1983).

The formula, and why only one rate really matters

Each future year's loss is the first-year loss grown forward, then pulled back to today: PV = Σ L₀(1+g)^(t−1) / (1+d)^t. Write k = (1+g)/(1+d) and the sum has a closed form, PV = L₀ × (1 − k^N)/(d − g), which is worth knowing because it makes the structure obvious.

The growth rate and the discount rate never act independently. Only their ratio appears. That ratio defines the net discount rate, i = (1+d)/(1+g) − 1, and a case with 3% growth against a 5% discount produces exactly the same present value as a case with 0% growth against a net rate of 1.9417%. This is why experts argue about the net discount rate rather than about the two components: choosing 6% growth and 8% discount instead of 3% and 5% barely moves the answer, while moving the net rate by a point moves it a great deal.

Two boundary cases fall out of the formula. When d = g the closed form divides by zero, but the sum is perfectly well behaved: every term is L₀/(1+d), so PV = L₀ × N/(1+d). This is the total-offset method that a few jurisdictions require by rule — Pennsylvania is the best known — and it has the practical virtue of removing two contested expert opinions from the trial. When d < g, the net discount rate is negative, k exceeds one, and each later year contributes more present value than the year before it. That is arithmetically coherent but it makes the award grow rapidly with the assumed work-life, so expect it to be contested.

The final term, N, is a statistical quantity, not a plan. Work-life expectancy tables — the Skoog–Ciecka tables are the ones most often cited in US practice — give the expected number of remaining years in the labour force by age, sex and education, already accounting for mortality, unemployment and voluntary withdrawal. Using "to age 67" instead of a work-life figure systematically overstates the claim.

Worked example: a 42-year-old losing $44,000 a year for 18 years

A 42-year-old machinist earned $68,000 and can still earn $24,000 in sedentary work. The employer's benefit load is 22% of wages. Assume 3% wage growth, a 5% discount rate, and 18 remaining work-life years.

  1. Annual differential. 68,000 − 24,000 = $44,000.
  2. Add fringe benefits. 44,000 × 1.22 = $53,680. That is the year-one loss, L₀.
  3. Net discount rate. (1.05 ÷ 1.03) − 1 = 1.9417%. Not 2% — the difference between the rates is not the same as the ratio of them.
  4. Year one. Loss 53,680.00, discount factor 1/1.05 = 0.952381, present value $51,123.81.
  5. Year two. Loss 53,680 × 1.03 = 55,290.40, factor 1/1.05² = 0.907029, present value $50,150.02.
  6. Year eighteen. Loss 53,680 × 1.03¹⁷ = 88,724.86, factor 1/1.05¹⁸ = 0.415521, present value $36,867.01.
  7. Total. Summing all eighteen years gives $785,348.87. Check it against the closed form: k = 1.03/1.05 = 0.980952381, k¹⁸ = 0.7073961, so PV = 53,680 × (1 − 0.7073961) / 0.02 = 53,680 × 14.630195 = $785,348.87. The two agree.

The undiscounted total of the same eighteen payments is $1,256,886.89. Discounting removes 1,256,886.89 − 785,348.87 = $471,538.02, which is 37.5% of the nominal figure — and that gap is the single largest thing the two sides' economists will disagree about.

How to read the result

The present value factor is the number to check first. It is the present value divided by the first-year loss, and it behaves exactly like an annuity factor at the net discount rate: 14.63 in the worked example means the award is worth about fourteen and a half years of the first-year loss, against eighteen years of actual loss. If your factor is close to N, the net discount rate is near zero and you should confirm that is what you intended. If it exceeds N, the net rate is negative.

The net discount rate is where opposing experts differ, and the range in dispute is usually narrow: forensic economists in US practice typically work with net rates in the low single digits, tied to yields on Treasury securities of comparable duration. Small differences compound over a long horizon. Take the ordinary annuity factor (1 − (1+i)^−N)/i: over 18 years it is 15.069 at a 1.9417% net rate and 16.398 at 1.00%, an increase of 16.398/15.069 − 1 = 8.8%. Over 35 years the same change in the net rate moves the factor from 25.229 to 29.409, an increase of 16.6%. The longer the loss period, the more the rate argument is worth.

Two adjustments this calculator deliberately leaves to you. It does not apply a personal consumption deduction, because that belongs to a wrongful death claim rather than to an injured survivor's claim — a living claimant still has to eat. And it does not tax-affect the earnings. Federal practice under Norfolk & Western Railway Co. v. Liepelt, 444 U.S. 490 (1980) values lost earnings net of income tax, while many state courts use gross earnings; enter after-tax figures in both earnings fields if the after-tax basis applies to your matter, and keep the discount rate consistent with that choice.

Finally, sanity-check the loss period against the claimant's age. A stream that runs past the mid-seventies is asserting a longer labour-force attachment than published work-life tables support, and the calculator flags it.

Present value factor by net discount rate and years of loss

Multiply the first-year loss by the factor for your net discount rate and loss period. These are ordinary annuity factors, (1 − (1+i)^−N) / i, evaluated at the net rate i.
Net discount rate10 years15 years20 years25 years30 years
0.0%10.00015.00020.00025.00030.000
1.0%9.47113.86518.04622.02325.808
1.5%9.22213.34317.16920.72024.016
2.0%8.98312.84916.35119.52322.396
2.5%8.75212.38115.58918.42420.930
3.0%8.53011.93814.87717.41319.600

The factor this calculator reports is slightly different in construction — it applies growth from year one and discounts from year one — so use this table for orientation and the calculator for the number.

What goes wrong in this calculation

  • Using retirement age instead of work-life expectancy. Work-life tables already subtract expected unemployment, illness and voluntary withdrawal. Counting every year to 67 overstates the claim and invites a straightforward cross-examination.
  • Netting the growth and discount rates by subtraction. 5% minus 3% is 2%; the correct net rate is 1.9417%. The error is small on one year and compounds over thirty.
  • Forgetting fringe benefits, or double-counting them. Employer-paid benefits are a real loss, but if the post-injury earnings figure already includes benefits, load only the differential once.
  • Mixing tax bases. Pre-tax earnings discounted at an after-tax rate, or the reverse, produces a number that means nothing. Pick a basis and hold it across every input.
  • Ignoring mitigation. The post-injury earning ability figure should reflect what the claimant can earn with reasonable effort and available retraining, not what they happen to be earning while a claim is pending.
  • Treating a household services loss as wage loss. The value of the chores an injured person can no longer perform is a separate head of damage with its own valuation method.

This is the expert's calculation, not a substitute for the expert

In any claim large enough to justify it, lost earning capacity is proved through a forensic economist or vocational rehabilitation expert whose report states the work-life table used, the source of the growth and discount rates, and the basis for the post-injury earning capacity. The arithmetic here reproduces that method faithfully, but the contested inputs — particularly what the claimant can still earn — are opinions that have to be supported by evidence to survive a challenge.

Where this fits and what else to run

Lost earning capacity is usually the largest single component of a serious injury claim, and it sits inside the economic damages line of the personal injury settlement calculator rather than beside it. Enter the present value figure from this page there, not the undiscounted total, or the claim will be overstated and the multiplier will magnify the error.

Related calculations share the same discounting machinery. A settlement paid over time rather than in a lump sum is the same present value question in reverse, handled by the structured settlement present value calculator. In an employment case the forward-looking component is front pay rather than earning capacity, discounted the same way — see the wrongful termination damages calculator. And where the injury is work-related, the recovery is a scheduled benefit rather than a proved economic loss, which the workers' compensation permanent disability calculator computes on an entirely different basis.

One structural point about the award itself: a lump sum handed to a claimant with a permanent disability has to last the whole loss period, and the discount rate embedded in the calculation assumes it is invested at that rate. That assumption is the argument for a structured settlement, which converts the lump back into a guaranteed stream and removes the investment risk the discounting presumes the claimant will bear.

Frequently asked questions

What discount rate should I use?

Use a rate tied to the yield on safe securities of similar duration — Treasury notes and bonds are the usual reference, because the award is assumed to be invested without risk. The Supreme Court in Jones & Laughlin Steel v. Pfeifer accepted a below-market real rate in the 1% to 3% band as within reason for the net rate. What matters far more than the headline rate is that it is consistent with the growth rate you paired it with.

What is the net discount rate and why do experts argue about it?

It is the discount rate net of wage growth: (1 + d)/(1 + g) − 1. The present value depends only on this combination, so 3% growth with a 5% discount gives the same answer as 0% growth with a 1.9417% net rate. Experts argue about it because a one-point change in the net rate moves a thirty-year award by a large fraction, while equal changes to both components move it hardly at all.

Where do I find work-life expectancy figures?

The Skoog–Ciecka work-life expectancy tables, published in the Journal of Forensic Economics, are the standard reference in US practice and are broken down by age, sex, education and current labour force status. They are shorter than the years to retirement age because they already account for mortality, unemployment spells and periods out of the labour force.

Should I use gross or after-tax earnings?

It depends on the forum. Federal cases under FELA and the Jones Act value lost earnings after tax following Norfolk & Western Railway v. Liepelt; many state courts use gross earnings and do not permit evidence about tax. Whichever you use, apply it consistently to the pre-injury figure, the post-injury figure and the discount rate.

Do fringe benefits really count as lost earnings?

Yes. Employer contributions to health insurance, retirement plans and payroll taxes are part of the compensation package the injury removed, and they are routinely included in an economist's report as a percentage load on wages. Use the employer's own figures where you can get them; the Bureau of Labor Statistics Employer Costs for Employee Compensation series is the fallback.

What if the claimant can still work but not in the same job?

That is the ordinary case, and it is what the post-injury earning ability field is for. Enter what the claimant is capable of earning in work they can still do — established by a vocational assessment, not by their current pay while the claim is pending. If the residual capacity equals or exceeds the pre-injury earnings, there is no lost earning capacity even though the job has changed.

Why is the present value so much smaller than the total of the payments?

Because the claimant receives the whole sum now. In the worked example the eighteen annual losses add to $1,256,886.89, but their present value at a 1.9417% net discount rate is $785,348.87 — the difference is the investment return the lump sum is assumed to earn over the period. The longer the loss period, the larger that gap.

Does this apply to a wrongful death claim?

Not directly. A wrongful death claim values the support the survivors lost, which starts from the decedent's earnings and then subtracts personal consumption — the share the decedent would have spent on themselves. This calculator makes no such deduction, because an injured living claimant still consumes. Adapting it for death cases requires that additional step and the statutory definition of recoverable damages in the relevant state.

References

  • Jones & Laughlin Steel Corp. v. Pfeifer, 462 U.S. 523 (1983) — Supreme Court of the United States
  • Chesapeake & Ohio Railway Co. v. Kelly, 241 U.S. 485 (1916) — Supreme Court of the United States
  • Employer Costs for Employee CompensationU.S. Bureau of Labor Statistics
  • Skoog, Ciecka and Krueger, The Markov Process Model of Labor Force Activity, Journal of Forensic Economics — National Association of Forensic Economics