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How to Calculate a Means-Tested Benefit

A means-tested benefit equals the maximum benefit minus the phase-out rate times income above the eligibility threshold, and it stops at zero rather than going negative.

The Means-Tested Benefit formula

Benefit = maximum benefit − [phase-out rate × (income − threshold)], floored at zero | Break-even income = threshold + (maximum benefit ÷ phase-out rate) | Effective marginal tax rate = phase-out rate + other taxes on the next dollar

Calculator

Enter the maximum benefit, phase-out rate, threshold and income to get the benefit and the effective marginal tax rate.

What a household with income at or below the threshold receives.

Cents of benefit lost per extra dollar earned above the threshold, written as a percent.

Monthly income at which the benefit starts shrinking.

Earnings the phase-out is measured against.

Income and payroll tax the household also pays on extra earnings.

Benefit received
$300

The phase-out removes $300 of the maximum, leaving $300 a month.

Total monthly resources
$2,700

Earnings plus benefit come to $2,700 a month.

Income where the benefit runs out
$3,600

The benefit reaches zero at $3,600 of monthly income, which is the threshold plus the maximum divided by the phase-out rate.

Effective marginal tax rate
35%

Losing benefit and paying tax on the same dollar stacks up to 35%, which is the rate that shapes the decision to work more.

Kept from the next dollar earned
$0.65

An extra dollar of earnings raises what the household actually has by $0.65.

How to calculate Means-Tested Benefit, step by step

  1. 1
    Compare income with the threshold. Income at or below the threshold draws the full maximum benefit, because there is nothing yet to phase out.
  2. 2
    Measure the income above the threshold. Subtract the threshold from household income. That excess, not total income, is what the phase-out rate applies to.
  3. 3
    Reduce the benefit by the phase-out. Benefit = maximum − rate × excess. Stop at zero, since a benefit does not turn into a bill once it runs out.
  4. 4
    Find the break-even income and the implicit tax. The benefit hits zero at threshold + maximum ÷ phase-out rate. The phase-out is itself a tax on earning, so add it to any income or payroll tax to see what the household keeps from the next dollar.

Worked example: Means-Tested Benefit

An illustrative program pays up to $600 a month and takes back 25 cents for every dollar of monthly income above $1,200. A household earning $2,400 has 2,400 − 1,200 = $1,200 of income above the threshold, so the benefit falls by 0.25 × $1,200 = $300 and the household receives 600 − 300 = $300. Total monthly resources are 2,400 + 300 = $2,700. The benefit runs out at 1,200 + (600 ÷ 0.25) = $3,600 a month. If income and payroll taxes take another 10 cents on the dollar, the household keeps 65 cents of the next dollar it earns, an effective marginal tax rate of 35%.

Means-Tested Benefit questions

What is the break-even income for a means-tested benefit?

It is the income at which the benefit reaches zero: the threshold plus the maximum benefit divided by the phase-out rate. Above that income the household gets nothing from the program.

Why does a phase-out work like a tax?

Each extra dollar earned takes part of the benefit away, so take-home resources rise by less than a dollar. A 25-cent phase-out is a 25% marginal tax before any tax authority collects anything.

Does a gentler phase-out rate always help?

A lower rate leaves more benefit at every income and weakens the disincentive to earn, but it also stretches eligibility further up the income scale and costs more. Halving the phase-out rate doubles the range of income over which the benefit is still paid.

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