14
Unit 2 · The Logic of Competition

Market Solutions to Poverty

A hand up, not a hand out

Chapter 14 ~ 34 min read

Who pays the highest marginal tax rate in America?

One of the key ideas of supply-side thinkers is that taxes can harm economic growth. Economists add a crucial detail: what changes behavior most is the tax on the next dollar, the marginal rate. Ronald Reagan once recalled that he was tempted to make a third movie in a single year, but that was when his tax rate would jump to nearly 90%. He said, "Why should I have done a third picture, even if it was Gone with the Wind? What good would it have done me?"

The logic of marginal taxation is just that simple: people respond to the incentive to work, and the higher the tax on the next dollar, the less they will work for it. So the question naturally presents itself: which Americans face the highest marginal tax rates of all?

The answer: the very poor.

Imagine you are a single parent earning $30,000 a year. Together, a handful of government programs give your family about $9,000 more in help with food, housing, child care, and health coverage. Your manager offers you a raise to $31,000. You do the math, and discover that crossing $30,000 makes you ineligible for most of that help. Your $1,000 raise will cost you $9,000. Reagan's third picture would have been taxed at 90%. Your raise is taxed at 900%.

Help meant to lift people out of poverty can end up penalizing them for climbing out. So what would help that actually works look like?

The big picture
The most powerful forces against poverty are jobs, growth, and ownership. The free-market prescription is not to abandon the poor but to stop blocking them: remove the barriers that keep people from working, moving, and building; design help so the next hour of work and the next dollar saved always leave a family better off; and open the doors to the financial markets that have built wealth for everyone else. By the end you should be able to read a Lorenz curve and a Gini coefficient, classify taxes as progressive, regressive, or proportional, compute an effective marginal tax rate, and work out the benefits under an earned income tax credit and a negative income tax.
Essential vocabulary — tap each card to reveal
Lorenz curve
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A graph of the cumulative share of income received by the cumulative share of households, from poorest to richest. The farther it bows below the diagonal, the more unequal the distribution.
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Gini coefficient
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A one-number measure of inequality: the area between the Lorenz curve and the line of equality, divided by the whole area under that line. 0 is perfect equality; 1 means one household has everything.
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Effective marginal tax rate
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The share of one more dollar of earnings lost to taxes and to benefits that shrink as income rises.
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Welfare cliff
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An income threshold where one more dollar of earnings ends a benefit worth far more than a dollar, so total resources fall.
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Earned Income Tax Credit (EITC)
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A tax credit that rises with each dollar earned, levels off, then phases out slowly. You must work to receive it.
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Negative income tax
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Milton Friedman's proposal: a single cash payment that is largest at zero income and shrinks at a fixed rate as earnings rise, replacing a patchwork of programs.
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Also know — tap any term
absolute povertyLiving below a fixed standard of need, such as an official poverty line.relative povertyHaving much less than others in the same society, whatever the absolute level.progressive taxA tax that takes a larger share of income as income rises, like the federal income tax.regressive taxA tax that takes a larger share of income from low earners than from high earners, like most sales taxes.proportional taxA tax that takes the same share of income at every level. Also called a flat tax.leaky bucketArthur Okun's image for redistribution: some of every dollar carried from rich to poor leaks out along the way.Director's LawThe prediction that public spending mostly benefits the middle class, paid for by taxes on both the poor and the rich.asset testA rule that cuts off benefits if a household's savings exceed a limit.unbankedHaving no checking or savings account at a bank or credit union.baby bondMoney invested for a child at birth, to be claimed as an adult for uses like education, a home, or a business.stablecoinA digital token designed to hold a steady value, usually one U.S. dollar, backed by reserves.
Major concept 1 · Poverty is not the gap

Measuring Poverty and Inequality

Before prescribing anything, get the diagnosis straight, because two different problems hide under one word. Poverty is about how little some people have. Inequality is about how spread out incomes are. They can move together, but they don't have to. If every income doubled overnight, poverty as hardship would shrink dramatically while the gap between rich and poor, in dollars, would double.

Economists measure poverty two ways. Absolute poverty, like the official U.S. poverty line or the World Bank's line for extreme poverty, asks whether people can meet a fixed standard of need. Relative poverty, asks how far people fall below others around them. The free-market view tends to focus on the first: whether the floor is rising, whether the poor live better than they did, and whether they can climb.

Inequality is measured by lining up every household from poorest to richest and asking what share of total income each slice receives.

U.S. household income by fifth, 2023
HouseholdsShare of incomeCumulative share
Lowest fifth3.1%3.1%
Second fifth8.3%11.4%
Middle fifth14.1%25.5%
Fourth fifth22.6%48.1%
Highest fifth51.9%100.0%
Cumulative share of households (%)Cumulative share of income (%)0204060801000204060801003.1%11.4%25.5%48.1%line of perfect equalityLorenz curveAB
Fig 14.1 The Lorenz curve for U.S. household income in 2023. Each point plots the share of income received by the poorest X% of households. If income were divided equally, the curve would follow the dashed diagonal.
On the exam: the bottom 20% of households received 3.1% of income, and the bottom 80% received 48.1%. The more the curve sags below the diagonal, the more unequal the distribution.

The Gini coefficient turns the picture into one number: the area between the curve and the diagonal (A) divided by the whole area under the diagonal (A + B). A Gini of 0 means perfect equality; a Gini of 1 means one household gets everything. For U.S. household money income in 2023, the Census Bureau put it at 0.485. Measures that count taxes and government benefits, or that compare what households consume rather than earn, show less inequality, so it matters which number you are reading.

Why insist on the distinction? Because the policies that shrink the gap fastest are not always the ones that raise the floor fastest. Chapter 1 made the point with a pie: a fight over slices can shrink the pie, while a growing pie can give the smallest slice more than it had.Ch 1 The rest of this chapter asks which policies actually raise the floor.

Quick check Country X has a Gini coefficient of 0.30 and Country Y has 0.50. Which is more unequal, and whose Lorenz curve sits closer to the diagonal? ▸
Country Y is more unequal. Country X's Lorenz curve sits closer to the line of equality.
Quick check Using the table, what share of income goes to the top 40% of households? ▸
22.6% + 51.9% = 74.5%. Equivalently, 100% − 25.5% (the bottom 60%) = 74.5%.
Quick check Every household's income rises 20%. What happens to the Lorenz curve, and to poverty measured in absolute terms? ▸
The Lorenz curve doesn't move, because every share stays the same. Absolute poverty falls, because more households now clear the fixed standard.
Retrieval practice Explain the difference between poverty and inequality, and describe how a Lorenz curve and Gini coefficient measure inequality. ▸

Poverty is about how little people have; inequality is about how spread out incomes are, and one can change without the other. A Lorenz curve plots the cumulative share of income against the cumulative share of households; the farther it bows below the diagonal, the more unequal the distribution. The Gini coefficient is the area between the curve and the diagonal divided by the total area under the diagonal, from 0 (equal) to 1 (one household has everything).

Major concept 2 · Who pays the highest tax rate?

Effective Marginal Tax Rates and the Welfare Cliff

Start with how taxes are structured. A progressive tax takes a larger share of income as income rises; the federal income tax is the main example. A proportional tax takes the same share from everyone. A regressive tax takes a larger share from low earners than from high earners. A sales tax is regressive even though everyone pays the same rate at the register, because poorer households spend nearly all of their income while richer ones save some of theirs.

Those are the official taxes. The ones that matter most at the bottom are not called taxes at all. Almost every means-tested program shares one design feature: benefits shrink as earned income rises. That is reasonable, since help should flow to those who need it most. But shrinking a benefit as earnings rise is, mathematically, a tax on earning more. Economists measure it with the effective marginal tax rate: the fraction of one additional dollar of earnings that is lost to taxes and to benefits that phase out. If earning $1 more costs 40 cents in taxes and lost benefits, the effective marginal tax rate is 40%, whatever the official bracket says.

Now stack several programs together: food assistance, housing, child care, health coverage. Their phase-outs pile on top of one another, and the effective marginal tax rate on a low-income worker can climb past 60%, 80%, even 100%. When it crosses 100%, earning more leaves a family with less. That is a welfare cliff: a threshold where one extra dollar of earnings ends a benefit worth far more than a dollar, so total resources drop.

One dollar over the limit: the cliff from the opening
Earned incomeBenefits keptTotal resources
$26,000$9,000$35,000
$30,000$9,000$39,000
$31,000$0$31,000
Earnings per yearTotal resources per year$20k$25k$30k$35k$40k$15k$25k$35k$45kearnings only$26k → $35k$30k → $39k$31k → $31kthe cliff:−$9,000 in benefitsearnings + benefits
Fig 14.2 The welfare cliff. Up to $30,000 of earnings, the family keeps $9,000 of benefits on top of its pay. One step past the limit, the benefits end, and total resources fall from $39,000 to $31,000.
What to notice: the drop is the whole point. The family would have to earn $39,000 just to get back to where it stood before the raise.
Worked example The effective marginal tax rate at the cliff

A worker earning $30,000 keeps $9,000 in stacked benefits, for $39,000 in total resources. A $1,000 raise pushes her past an eligibility limit and ends the whole $9,000.

  1. Extra earnings from the raise: $31,000 − $30,000 = $1,000.
  2. Change in total resources: $31,000 − $39,000 = −$8,000.
  3. Lost to taxes and benefits = extra earnings − change in resources = $1,000 − (−$8,000) = $9,000.
  4. Effective marginal tax rate = $9,000 ÷ $1,000 = 900%.
The raise leaves the family $8,000 poorer. A 900% tax on those earnings makes turning the raise down the rational choice. The incentive is broken, not the worker.

A worker facing a cliff who turns down a raise, declines extra hours, or refuses a promotion is not being lazy. She is responding rationally to the incentive the policy built, exactly as labor-supply logic predicts: people supply more labor when the net return to working rises, and less when it falls. A cliff makes the net return to crossing it negative. The tragedy is that a program meant to raise well-being can trap a family below the cliff, discourage advancement, and lower the output and mobility that well-being rests on.

Quick check Classify each tax: (1) a 6% sales tax on groceries; (2) a 10% tax on every dollar of income; (3) an income tax with rates of 10%, 22%, and 35% on higher brackets. ▸
(1) Regressive: poorer households spend a larger share of income on groceries. (2) Proportional. (3) Progressive.
Quick check A worker earns $500 more. She pays $40 more in taxes and loses $260 in benefits. What is her effective marginal tax rate? ▸
($40 + $260) ÷ $500 = 60%. She keeps only $200 of the $500.
Retrieval practice Explain why the poor can face higher effective marginal tax rates than the rich, and what happens to work incentives at a welfare cliff. ▸

Benefits that shrink as earnings rise act like taxes on earning more, and several programs phasing out at once stack into very high effective rates. At a cliff, one more dollar of earnings ends a benefit worth far more than a dollar, so the effective rate exceeds 100% and working more leaves the family worse off. Rational workers respond by turning down raises and hours.

Major concept 3 · The leaky bucket

The Case Against (Most) Redistribution

In 1975 the economist Arthur Okun offered an image that every debate about redistribution still uses. Moving money from the rich to the poor, he said, is like carrying water in a leaky bucket. Some of it never arrives. Taxes on the rich discourage some of the work, saving, and investment that create income. Benefits that phase out discourage work at the bottom, as Concept 2 showed. And running the programs costs money. Okun himself favored some redistribution anyway; his point was that the leaks are real, and that how much a policy leaks should decide whether it is worth it.

The free-market case goes further, and its strongest argument is arithmetic. Growth compounds, and small differences in growth become enormous over a working life.

YearsAverage income (today = 100)051015202530351001502002503001%: 1422%: 2003%: 281
Fig 14.3 Average income after 35 years, starting from 100. At 1% growth a year it reaches 142; at 2%, 200; at 3%, 281.
What to notice: one extra point of growth, sustained, more than doubles the gain. Even a generous one-time transfer that raised poor families' incomes by 10% would be overtaken in about ten years by one extra point of growth, if the growth reached them too.

That is the core of the case: the policies that matter most for the poor over a lifetime are the ones that keep the economy growing and let the poor share in the growth by working, which is why the rest of this chapter is about work and ownership rather than transfers. Two more arguments add to it. The first is a prediction about politics, and it has a name: Director's Law. In 1970 George Stigler named it for his Chicago colleague Aaron Director: public programs are made mainly for the benefit of the middle class and paid for with taxes that fall heavily on both the poor and the rich. The logic is the median voter's. A program needs a majority to pass, and the votes are in the middle, so programs sold as help for the poor drift toward whoever is numerous and organized enough to claim them. Chapter 19 calls this public choice.Ch 19 The second argument is about people: help that replaces work can quietly take away something money can't buy: the skills, routines, and self-respect that come from earning.

Research study Is Director's Law true?

It depends on where you look. In the tax code, it fits well. The Congressional Budget Office studied the ten largest tax breaks in the individual income tax, such as the deductions for mortgage interest and retirement saving and the lower tax rates on capital gains and dividends. In 2013, more than half of their combined benefit went to the top fifth of households, and 17% went to the top 1% alone; the bottom fifth received 8%. The lower rates on capital gains and dividends were the most lopsided, with more than 90% of the benefit going to the top fifth.

For programs aimed at the poor, it fails. About half of the Earned Income Tax Credit goes to the bottom fifth, and because of it, the bottom fifth gained the most from tax breaks as a share of income: 11.7%. Programs that check income before they pay do reach the poor.

Reading the evidence. Director's Law describes broad, universal-sounding programs and benefits delivered through deductions, which pay the most to whoever earns, owns, and itemizes the most. It is a reason to design help carefully, not to assume all help is captured. Keep it in mind for Concept 6: it applies to wealth as well as income.

The other side The strongest case for redistribution

Economists who favor more redistribution answer with three arguments. First, diminishing marginal utility, from Chapter 2: an extra $1,000 means far more to a family scraping by than to a millionaire, so moving it can raise total well-being even if some leaks out.Ch 2

Second, insurance. Anyone can lose a job, get sick, or be born poor, and a safety net is how a society insures against bad luck that markets don't insure well.

Third, evidence that some help pays for itself over time. Children whose families gained access to food stamps when the program rolled out in the 1960s and 1970s grew into adults with lower rates of obesity, high blood pressure, and diabetes, and the women among them were more economically self-sufficient. The debate is rarely whether to help. It is how to help with the smallest leaks, which is where the rest of this chapter goes.

Quick check Name three ways Okun's bucket leaks. ▸
Taxes that discourage work, saving, and investment at the top; benefits that phase out and discourage work at the bottom; and the administrative cost of running the programs.
Quick check Using Director's Law, predict who gains most from a new tax deduction for families who put money into college savings accounts. ▸
Middle- and upper-income families. A deduction is worth more the higher your tax bracket, only families with money to save can use it, and families who owe little or no income tax get nothing. The benefit flows to the middle and above, as Director's Law predicts.
Quick check Income grows 2% a year instead of 1% for 35 years. Starting from 100, how much higher does average income end up? ▸
200 instead of about 142, roughly 41% higher (200 ÷ 142 ≈ 1.41).
Retrieval practice Summarize the free-market case against heavy redistribution, and give the strongest argument on the other side. ▸

Redistribution leaks: taxes discourage productive activity, phase-outs discourage work, and administration costs money. Growth compounds, so policies that keep growth high and let the poor share in it by working matter more over a lifetime than transfers, and, by Director's Law, programs tend to drift toward the middle class. The strongest reply is diminishing marginal utility, along with insurance and evidence that some childhood aid improves adult outcomes.

Major concept 4 · Let people work

Barriers That Keep the Poor Out

If the best path out of poverty is a job, the first market solution costs almost nothing: stop blocking the path.

Licensing. In the 1950s, about 5% of American workers needed a government license to do their jobs. Today the figure is more than 20%. Some licenses protect the public from real harm. Many mainly protect the people who already hold them, which is the rent-seeking from Chapter 11: a chain across the river, stretched across the entrance to a career.Ch 11 Licensed workers are about a quarter less likely to switch occupations, and the burden falls hardest on people without the money or time for long training. Jestina Clayton learned to braid hair as a child in Sierra Leone and started a braiding business in Utah. The state told her she needed a cosmetology license: 2,000 hours of training that could cost as much as $18,000, none of it about braiding. In 2012 a federal judge struck the rule down as "wholly irrational."

Housing and place. Where you live shapes what you can earn, and zoning that blocks new homes keeps the poor out of the cities with the best jobs (Chapter 12).Ch 12 The Moving to Opportunity experiment gave some families in high-poverty public housing vouchers to move to lower-poverty neighborhoods. Children who moved before age 13 earned about 31% more in their mid-twenties than similar children who didn't move, and were more likely to attend college.

The first rung. The minimum wage, from Chapter 13, raises pay for workers who keep their jobs, but where it bites hard it can price the least experienced out of the entry-level jobs where people learn to work.Ch 13 It is also poorly targeted: many minimum-wage earners are not poor, and many poor households have no one working. Keeping the bottom rungs of the ladder open is itself anti-poverty policy.

Rules of business success · Rule #8: be someone's first rung

Most people climb out of poverty one job at a time, and the first job matters most: it teaches showing up, serving customers, and solving problems, and it is the reference that gets the second job. Hire people without experience, train them, and promote them. Few anti-poverty programs do more good per dollar than a business willing to take a chance on a beginner.

Quick check Why might a licensing rule that requires 2,000 hours of training hurt low-income workers more than others? ▸
Training costs money and time without pay. Workers who can't afford to stop earning for months are shut out of the occupation, while existing license holders face less competition.
Quick check In the Moving to Opportunity experiment, why did it matter that children moved before age 13? ▸
The gains depended on how many years a child spent in the better neighborhood. Children who moved young got more years of exposure, and their adult earnings rose about 31%.
Retrieval practice Name three barriers that keep low-income people from working or earning more, and the market solution to each. ▸

Occupational licensing (narrow licenses to real safety risks and let people work); zoning that blocks housing in high-wage places (allow more homes so people can move to opportunity); and high minimum wages that close off entry-level jobs (keep the first rungs open and use better-targeted tools to raise incomes).

Major concept 5 · Reward work, never punish it

The EITC and the Negative Income Tax

If transfers are needed, design them so that working always pays. The Earned Income Tax Credit (EITC) is the clearest example of a transfer that works with incentives instead of against them, and it is one of the largest anti-poverty programs in the United States. Its defining feature is that you must earn to receive it, and it is built in three stages. In the phase-in range, the credit rises with every dollar earned: for a parent with one child, each dollar of wages brings 34 cents of credit on top. That is a negative marginal tax rate on work; the government pays you to earn. Across a middle plateau the credit holds at its maximum. Then a gradual phase-out shrinks it slowly to zero, a modest tax on additional earnings and never a cliff.

Milton Friedman proposed a bolder design in 1962: a negative income tax. Scrap the patchwork of separate programs, each with its own rules and cliffs, and replace it with one cash payment run through the tax system. Every negative income tax has two settings: a guarantee (what a family with no earnings receives) and a phase-out rate (how much the payment shrinks for each dollar earned). The payment reaches zero at the break-even income, the guarantee divided by the phase-out rate.

Earnings per yearBenefit per year$0k$10k$20k$30k$40k$0k$4k$8k$12kguarantee: $12,000break-even: $24,000negative income tax(benefit falls 50¢ per $1 earned)EITCcredit risesas you earn
Fig 14.4 Two ways to help. A negative income tax (purple) pays the most to those who earn nothing and shrinks steadily as earnings rise. The EITC (green) pays nothing to those who don't work, rises as earnings rise, then phases out slowly. The EITC line is stylized from the credit for a parent with one child.
What to notice: there is no cliff anywhere on either line. Each extra dollar of earnings always leaves a family better off.
Worked example Benefits under a negative income tax

A negative income tax has a guarantee of $12,000 and a phase-out rate of 50%. A worker earns $10,000 a year.

  1. Benefit = guarantee − (phase-out rate × earnings) = $12,000 − (0.5 × $10,000) = $7,000.
  2. Total income = $10,000 + $7,000 = $17,000.
  3. Break-even income = $12,000 ÷ 0.5 = $24,000. Above that, the worker gets no payment.
  4. If she earns $1,000 more, her benefit falls by $500, so she keeps $500. Her effective marginal tax rate is 50% across the whole range.
Compare the 900% cliff from Concept 2. A 50% rate still taxes work heavily, but working more always pays.

Here is the hard trade-off every designer faces. You want a generous guarantee, a low phase-out rate so work pays, and a low total cost. You can have any two. A high guarantee with a low phase-out rate means the payment reaches far up the income scale, which is expensive. Keep the cost down with a low phase-out rate and the guarantee must be small. Keep both the guarantee and the cost reasonable and the phase-out rate must be steep, which taxes work.

What does the evidence say? Early studies credited the EITC with drawing many single mothers into work during its expansion in the 1990s. A careful recent reappraisal by Henrik Kleven finds that most EITC expansions show no clear effect on employment, and attributes the 1990s gains largely to welfare reform and a strong economy instead. Either way, the EITC does not punish the first hours of work, which a cliff does. For cash with no work requirement, the evidence is clearer. In the negative income tax experiments of the 1970s, men heading households worked slightly less, and their wives cut back more. In a large recent study, people given $1,000 a month for three years were about 4 percentage points less likely to be in the labor force, worked 1 to 2 fewer hours a week, and earned about $1,900 less a year; the biggest change in how they spent their time was more leisure. Cash buys freedom, and some people use part of it to work less. Whether that trade is worth it is a value question; that it happens is not seriously in doubt.

If economists ruled the world · Reward work, never punish it

Keep the effective marginal tax rate on low-income workers well below 100%, always. Coordinate benefit phase-outs so they do not stack into cliffs, replace abrupt eligibility limits with gradual tapers, and prefer help that rises with work over help that vanishes when people start earning. The goal is not smaller help. It is help designed so that working is never the losing choice.

Quick check A negative income tax has a guarantee of $9,000 and a phase-out rate of 30%. What is the break-even income? ▸
$9,000 ÷ 0.30 = $30,000.
Quick check Why does the EITC encourage people to start working, while a negative income tax may not? ▸
The EITC pays nothing at zero earnings and rises with each dollar earned in the phase-in range, so starting work is rewarded. A negative income tax pays the most at zero earnings and shrinks as earnings rise, so it slightly reduces the reward to working.
Retrieval practice Explain how a negative income tax works, compute the break-even income from its guarantee and phase-out rate, and describe the trade-off its designers face. ▸

A family receives a guarantee that shrinks by the phase-out rate for each dollar earned; the payment reaches zero at the break-even income, guarantee ÷ phase-out rate. Designers want a high guarantee, a low phase-out rate, and a low cost, but can have only two: lowering the phase-out rate extends payments up the income scale and raises the cost, and cutting cost forces a smaller guarantee or a steeper phase-out.

Major concept 6 · Let people own

Access to Capital and the Power of Compounding

Work is one path out of poverty. Ownership is the other, and it is the path the poor are most often shut out of. Chapter 12 called capital the input you have to wait for, because its payoff comes over time.Ch 12 That waiting is exactly what makes it powerful for the people who can afford to start.

AgeValue of the account018304065$0k$20k$40k$60k$80k$3,380$7,612$14,974$81,273
Fig 14.5 A $1,000 deposit at birth, growing 7% a year after inflation, about the long-run average for U.S. stocks. It is worth about $3,400 at 18, $15,000 at 40, and $81,000 at 65, with no further deposits.
What to notice: most of the growth comes late. Compounding rewards whoever starts earliest, which is why being shut out early is so costly.

Now stretch the clock past one lifetime. Wealth is the one kind of income a family can pass down, so its compounding doesn't have to stop at 65. A parent's down payment, a grandparent's savings, a college paid for without loans: each lets the next generation start its own clock earlier and with more. Wealth, unlike a paycheck, can be built by more than one generation at a time.

YearValue of the account19501970199020102025$0k$40k$80k$120k$160k$160,000started 1950$10,700started 1990$1,000$1,000
Fig 14.6 Same habit, different start. A $1,000 deposit growing 7% a year after inflation: made in 1950, it is worth about $160,000 by 2025; made in 1990, about $10,700.
What to notice: the two families did exactly the same thing. The only difference is when they were able to start, and forty years of compounding turned that into a 15-to-1 gap. A family kept out of ownership in 1950 isn't missing $1,000 today. It is missing $160,000.

That arithmetic is the heart of an argument by the economists Trevon Logan of Ohio State and Darrick Hamilton (then at Ohio State, now at The New School): unequal wealth today comes largely from unequal access to wealth-building policies whose benefits compound across generations. Their history is a list of the policies that built American wealth and of who was kept out of them. Federal land policy in the 1800s went overwhelmingly to white families; the Southern Homestead Act of 1866, meant in part for freed people, was undermined by discrimination and poor administration. After World War II, the GI Bill paid for college and helped veterans buy homes, but most colleges were closed to Black veterans and the benefits went overwhelmingly to white ones. Federal mortgage insurance, which helped build the American suburb, was kept out of Black neighborhoods by redlining and restrictive covenants. And some wealth that was built was destroyed outright, as in Tulsa in 1921.

The result shows up in the data. In 2022 the median white family had $285,000 in wealth and the median Black family had $44,900: about 16 cents on the dollar. The income gap is far narrower, about 60 cents on the dollar in 2024. In a 2015 study, Hamilton and his coauthors found that Black families headed by a college graduate had less wealth than white families headed by a high-school dropout. Their conclusion is that education alone can't close a gap like that, because it is wealth that pays for education more than the reverse. As a remedy, Logan and Hamilton argue that the most just approach would be a comprehensive program of reparations.

Taking the research seriously · a free-market answer

For this block of the course, we are free marketeers, and the free-market case is skeptical of large-scale redistribution for the reasons in Concept 3. So ask a different question: if Logan and Hamilton are right that the gap compounds, what would a free-market economist do about it? Four answers follow from the arithmetic.

1. Start the clock early. Compounding rewards time more than amount, so a small stake at birth can do what a large transfer at 40 cannot.

2. Stop punishing the poor for saving. Remove the rules that take benefits away from families who build a cushion.

3. Level the tax code instead of adding to it. Today's biggest wealth-building subsidies are Director's Law in action: they pay the most to people who already own.

4. Lower the price of entry, and protect the right to own. Much of the exclusion in this history was enforced by government itself, the point of Chapter 13's box on what happens when the whole town wants discrimination.Ch 13 Equal protection of property and equal access to credit are market principles before they are anything else.

Start with who owns the asset that compounded fastest. In 2022, 58% of American families had some money in the stock market, a record, mostly through retirement accounts. But the share falls steeply with income: in 2019, only 15% of families in the bottom fifth held any stock, compared with 92% in the top tenth. The bottom half of American households, ranked by wealth, owns about 0.6% of the country's stocks and mutual funds.

For some families the barrier starts earlier still. In 2023, 4.2% of U.S. households, about 5.6 million, had no bank account at all, and another 14.2% had one but still relied on check cashers, payday lenders, or money orders. The most common reason given for having no account was not distrust. It was not having enough money to meet the bank's minimum balance: a price barrier. Worldwide, about 1.3 billion adults are unbanked, and half of them come from the poorest 40% of households.

Markets have been tearing these barriers down, and the evidence is striking.

Mobile money. In 2007 a Kenyan phone company launched M-Pesa, which let people store and send money by text message through small agents in shops. Economists Tavneet Suri and William Jack found that access to it lifted about 194,000 Kenyan households, roughly 2%, out of extreme poverty. The gains were largest for households headed by women, about 185,000 of whom moved from farming into business or retail. No grant, no program: a cheaper, safer way to save and send money.

Stablecoins. A stablecoin is a digital dollar that can be sent across the world in minutes, where sending $200 abroad through traditional channels cost 6.5% on average in early 2025. In countries with high inflation, it is also a way to save in a currency that holds its value. A 2025 U.S. law, the GENIUS Act, requires dollar stablecoins to be fully backed by cash and short-term Treasury securities. The risks are real: they are not federally insured, and TerraUSD, a coin with no real reserves, collapsed in 2022.

Cheap investing. Account minimums, trading commissions, and high fund fees used to price small savers out of the stock market. Competition has driven many of them toward zero. Today a teenager with $20 can own a slice of the whole market through a low-cost index fund or fractional shares.

Government can help too, mostly by getting out of the way. Many programs still impose an asset test: save too much, and you lose your benefits. Supplemental Security Income, for low-income people who are elderly or disabled, cuts off anyone with more than $2,000 in savings. That limit was last raised in 1989; if it had kept up with inflation since the program began, it would be close to $10,000. A rule like that is a cliff for saving: it tells the poor that building a cushion is against the rules.

Meanwhile the tax code subsidizes saving for those who already have something to save. Deductions for retirement contributions and mortgage interest, and lower tax rates on capital gains, are worth the most to people in high tax brackets with large accounts and expensive homes, and nothing to a worker who owes no income tax. The free-market fix is not a new program but a level one. A step in that direction starts in 2027: the federal Saver's Match will deposit up to $1,000 a year straight into the retirement accounts of low- and moderate-income savers, paid even if they owe no tax.

The boldest idea is to give every child a stake, and it comes from Hamilton himself: he and the economist William Darity proposed baby bonds in 2010. Connecticut was the first state to adopt them. Its program invests $3,200 for each child born into the state's Medicaid program since July 2023. At 18 to 30, the child can claim it, projected at $11,000 to $24,000, to buy a home, start a business, pay for training, or save for retirement. In 2025 Congress created federal child accounts, often called Trump Accounts: $1,000 from the Treasury for each citizen child born from 2025 through 2028, invested in low-cost index funds, to which families can add up to $5,000 a year and employers up to $2,500. Philanthropists Michael and Susan Dell pledged $6.25 billion to add $250 for millions of children in lower-income areas. These programs are new, and whether they change what young adults do with their lives is not yet known. But they do what no transfer at 40 can: they put the poorest families' clocks on the same starting line as everyone else's.

Access is the first step, not the last. Even people with open accounts and good options often don't save as much as they mean to. Why that happens, and what can be done about it without taking away anyone's freedom to choose, is a question for later in the book.

Quick check Family A invests $1,000 in 1950 and Family B invests $1,000 in 1990, both earning 7% a year. Why is Family A's account about 15 times larger in 2025, and what does that imply about a gap in when families could start owning? ▸
Family A's money compounded for 75 years instead of 35, and compounding earns returns on past returns, so the extra 40 years multiply the result about 15 times. A gap in when families could start owning becomes a much larger gap in wealth generations later, even if their habits are identical.
Quick check Why might an asset test discourage saving among the poor? ▸
If savings above a limit cost a household its benefits, every dollar saved beyond the limit can cost more than a dollar in lost help: an effective tax of more than 100% on saving.
Quick check A tax deduction for retirement saving and a refundable match of the same size are offered to a worker who owes no income tax. Which one helps her, and why? ▸
Only the refundable match. A deduction lowers taxable income, so it is worth nothing to someone who owes no tax, and it is worth more the higher your tax bracket. A refundable match pays the same amount whether or not she owes tax.
Retrieval practice Explain why wealth gaps can persist for generations even after the barriers that caused them are gone, and name three ways a free-market economist would respond. ▸

Wealth compounds, and it can be passed down, so a family that could start owning earlier ends up far ahead even with identical habits, and the lead keeps growing in the next generation. Logan and Hamilton trace today's racial wealth gap to unequal access to the policies that built wealth. A free-market economist who takes that seriously but rejects large-scale redistribution would start children's clocks early (baby bonds and child accounts), stop penalizing saving (remove asset tests), level the tax code (replace deductions that favor those who already own with refundable matches), and lower the price of entry to owning (mobile money, cheap index funds), while protecting everyone's equal right to own and borrow.

On the exam

The moves you can now make

Four questions at exam level: reading inequality, classifying taxes, an effective marginal tax rate, and negative income tax math. Try each on paper first, then reveal.

Type A · Lorenz curve and Gini coefficient

In Country A, the poorest 20% of households receive 5% of income and the poorest 40% receive 15%. In Country B, the poorest 20% receive 8% and the poorest 40% receive 22%. Which country's Lorenz curve lies closer to the line of perfect equality, and which is likely to have the higher Gini coefficient?

Show model answer ▸

Country B's Lorenz curve lies closer to the line of equality, because its poorer households receive a larger share of income at each point. Country A's curve bows farther from the diagonal, so the area between the curve and the diagonal is larger and Country A likely has the higher Gini coefficient, meaning more inequality.

Type B · progressive, regressive, or proportional

Classify each tax: (1) a state income tax that charges every resident 4.5% of income; (2) a gasoline tax of 40 cents a gallon; (3) a federal income tax whose rates rise from 10% to 37% as income rises; (4) a payroll tax of 6.2% on wages up to an annual cap, and 0% on wages above it.

Show model answer ▸

(1) Proportional: the same share of every income. (2) Regressive: lower-income households spend a larger share of income on gasoline. (3) Progressive. (4) Regressive overall: it is proportional up to the cap, but people earning far above the cap pay a smaller share of their total wages.

Type C · effective marginal tax rate

A worker's earnings rise by $2,000. She pays $300 more in taxes and loses $1,500 in food and housing benefits. Calculate her effective marginal tax rate and explain what it implies for her incentive to work more.

Show worked solution ▸
Worked example Effective marginal tax rate
  1. Lost to taxes and benefits: $300 + $1,500 = $1,800.
  2. Effective marginal tax rate = $1,800 ÷ $2,000 = 90%.
  3. She keeps only $200 of the $2,000 she earned.
At 90%, extra work barely pays, so she has little reason to take more hours or a better job. If the rate passed 100%, earning more would leave her worse off.

Type D · negative income tax

A negative income tax has a guarantee of $10,000 and a phase-out rate of 25%. Calculate the payment and total income for a worker earning $20,000, and the break-even income.

Show worked solution ▸
Worked example Negative income tax
  1. Payment = $10,000 − (0.25 × $20,000) = $5,000.
  2. Total income = $20,000 + $5,000 = $25,000.
  3. Break-even income = $10,000 ÷ 0.25 = $40,000.
A low phase-out rate keeps work rewarding (she keeps 75 cents of every extra dollar) but extends the payment far up the income scale, which raises the cost.
Capstone · free response

Put the moves together

Free response · ~10 points · graph required · model answer and scoring below

A state replaces several benefit programs with a single negative income tax. Every household receives a guarantee of $12,000 a year, reduced by 50 cents for each dollar the household earns.

  1. Calculate the payment and total income for a worker who earns $10,000 a year. (2 pts)
  2. Calculate the break-even income. (1 pt)
  3. The worker's earnings rise from $10,000 to $14,000. Calculate her new total income and her effective marginal tax rate. (2 pts)
  4. Draw a correctly labeled graph with earnings on the horizontal axis and total income on the vertical axis. Label the guarantee and the break-even income. (2 pts)
  5. Under an EITC that pays 34 cents for each dollar earned in its phase-in range, what credit would a worker earning $10,000 receive? Which design gives a stronger incentive for someone with no earnings to start working? Explain. (2 pts)
  6. Explain why the negative income tax avoids the problem of a welfare cliff. (1 pt)
Reveal a full-credit response ▸

(a) Payment = $12,000 − (0.5 × $10,000) = $7,000. Total income = $10,000 + $7,000 = $17,000.

(b) Break-even income = $12,000 ÷ 0.5 = $24,000.

(c) Payment = $12,000 − (0.5 × $14,000) = $5,000, so total income = $19,000. She earned $4,000 more but her total income rose only $2,000, so her effective marginal tax rate is $2,000 ÷ $4,000 = 50%.

(d) Total income starts at $12,000 when earnings are zero and rises with a slope of 0.5 until earnings reach $24,000. Above $24,000 there is no payment, so total income equals earnings and the line rises with a slope of 1.

(e) EITC credit = 0.34 × $10,000 = $3,400. The EITC gives a stronger incentive to start working: it pays nothing at zero earnings and adds 34 cents to every dollar earned in the phase-in range, while the negative income tax pays the most to someone who does not work and takes back 50 cents of each dollar earned.

(f) The payment shrinks gradually, by 50 cents per dollar earned, instead of ending all at once at an eligibility limit. Each extra dollar earned always raises total income by 50 cents, so the effective marginal tax rate never exceeds 100%.

Reveal the scoring rubric ▸
  • 1 pt (a) Payment of $7,000.
  • 1 pt (a) Total income of $17,000.
  • 1 pt (b) Break-even income of $24,000.
  • 1 pt (c) New total income of $19,000.
  • 1 pt (c) Effective marginal tax rate of 50%.
  • 1 pt (d) Correctly labeled axes, with total income starting at $12,000.
  • 1 pt (d) A flatter line up to $24,000 and a steeper line after, with the break-even income labeled.
  • 1 pt (e) EITC credit of $3,400.
  • 1 pt (e) The EITC gives the stronger incentive to start working, with a correct explanation.
  • 1 pt (f) The benefit phases out gradually, so earning more always raises total income.

Ten independent points. An error in (a) doesn't cost the (c) points if the later work follows correctly from it.

Reveal what loses points ▸
  • Conceptual Computing the effective marginal tax rate from the payment alone. It is the share of extra earnings lost, here $2,000 of $4,000.
  • Precision Dividing the phase-out rate by the guarantee. Break-even income is guarantee ÷ phase-out rate.
  • Exam craft Drawing the payment instead of total income in (d). Read the axis label: the vertical axis is total income.
Market thesis

Markets fight poverty by raising what work and savings are worth. The best help keeps that true: it never makes the next hour of work or the next dollar saved a losing choice.


If economists ruled the world…

we would tear down the barriers that keep the poor from working, moving, building, and owning; replace benefit cliffs with smooth tapers; and give every child a stake in the economy's growth.

Positive
what economists agree on
  • Poverty and inequality are different measures; poverty can fall while the Lorenz curve stays put.
  • Stacked benefit phase-outs can push effective marginal tax rates above 100%.
  • Unconditional cash modestly reduces work; licensing and zoning restrict where and how people can work.
  • The poorer half of households owns almost none of the stock market, and wealth gaps compound across generations.
  • Tax breaks delivered through deductions flow mostly to the top fifth (Director's Law); means-tested help reaches the bottom.
Normative
what citizens must decide
  • How much inequality is acceptable if the poorest are getting richer?
  • Should help come as cash or as specific goods, and with or without a work requirement?
  • Should government seed an investment account for every child, and who should pay for it?
  • What, if anything, is owed for past exclusion from the policies that built wealth, and in what form?

Takeaways
In your life

Start owning early. A small amount invested young, in a low-cost fund, can grow into more than a large amount invested late.

In your work

Be someone's first rung. Hire beginners, train them, and help them climb.

Learn more
Milton Friedman: The Negative Income Tax
Milton Friedman: The Negative Income Tax
Friedman explains his proposal on Firing Line, in his own words · Pairs with Concept 5 · YouTube

Who is unbanked, and why
The FDIC's 2023 survey of households without bank accounts · Pairs with Concept 6 · FDIC

Hamilton and Logan: Why wealth equality remains out of reach
The compounding-access argument from Concept 6, in the authors' own words, with their case for reparations · Pairs with Concept 6 · Ohio State News / The Conversation

Jestina Clayton's case against Utah's braiding license
The licensing story from Concept 4, told by the lawyers who won it · Pairs with Concept 4 · Institute for Justice

Moving to Opportunity
A short summary of the housing-voucher experiment and its long-run results for children · Pairs with Concept 4 · J-PAL