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Economic Inequality and
Possible Policy Responses
James Bullard
President and CEO, FRB-St. Louis

Hyman P. Minsky Lecture

Weidenbaum Center on the Economy, Government, and Public Policy

March 21, 2016
St. Louis, Mo.
Any opinions expressed here are my own and do not necessarily reflect those of the Federal Open Market Committee.

Preliminary research
This presentation contains a discussion of some of my
preliminary research with Guillaume Vandenbroucke, an
economist at the St. Louis Fed.
Any results presented here are preliminary. They are meant to
stimulate discussion and may change as the project
progresses.
 For related work, see G. Vandenbroucke, 2016, “Aging and Wealth
Inequality in a Neoclassical Growth Model,” FRB of St. Louis
Review, forthcoming, C. Azariadis, J. Bullard, A. Singh and J. Suda,
2015, “Optimal Monetary Policy at the Zero Lower Bound,” FRB of
St. Louis Working Paper 2015-010A, and J. Bullard, 2014, “Income
Inequality and Monetary Policy,” remarks delivered at the Council on
Foreign Relations, New York, N.Y.

Introduction

Economic inequality in the U.S.
Economic inequality is generally considered to be high in the
U.S.
A key question for this talk: What proportion of measured
inequality is consistent with standard macroeconomics, and
what proportion is inconsistent?
What types of economic policy can change measured
inequality for the better?
 What is the role of monetary policy?

Types of macroeconomic inequality
Financial wealth inequality
 Typically thought of as “who owns the financial assets in the
economy, such as stocks and bonds?”

Income inequality
 Typically thought of as “who earns the highest and lowest
annual income in the economy?”

Consumption inequality
 The least discussed but the most important, “who actually
consumes the most and the least in the economy?”

We will look at all three types simultaneously.

Main ideas in this talk
A simple and standard macroeconomic model can account for
a large portion of the wealth, income and consumption
inequality found in the U.S. data.
According to the model, some of the measured wealth,
income and consumption inequality is “benign.”
The remainder of the inequality—the “true” inequality—
could be influenced by some types of policies but not by
others.
Credit markets play an important role in the model, and if
monetary policy has an impact on inequality, it is through this
channel.

Measuring Inequality

A systematic measure of inequality: Gini coefficients
What would perfect equality look like?






The top 1% have 1% of wealth (income) (consumption).
The top 2% have 2% of wealth (income) (consumption).
…
The top 10% have 10% of wealth (income) (consumption).
…

Gini coefficients
• Bottom 50% has 50%
• No inequality
• Gini coefficient is 0

More on Gini coefficients
• Bottom 50% has 33%
• Inequality rises
• Gini coefficient is 0.16

More on Gini coefficients
• Bottom 66% has 33%
• Inequality rises more
• Gini coefficient is 0.33

Bottom line on Gini coefficients
A Gini coefficient of zero indicates no inequality at all.
A Gini coefficient of one indicates maximum inequality—
one person has everything; everybody else has nothing.
A Gini coefficient between zero and one serves as an index
of the degree of inequality.
Researchers have measured Gini coefficients for the U.S.
 There are many issues about the details of the data that we are not discussing
here.
 See J. Díaz-Giménez, A. Glover and J.-V. Ríos-Rull, 2011, “Facts on the
Distributions of Earnings, Income, and Wealth in the United States: 2007
Update,” FRB of Minneapolis Quarterly Review, 34(1), pp. 2-31, and K.A.
Hassett and A. Mathur, 2012, “A New Measure of Consumption Inequality,”
American Enterprise Institute Economic Studies Series.

Measured Wealth, Income and Consumption
Inequality in the U.S.

Wealth, income and consumption inequality
• Typical pattern in U.S. data:
• Financial wealth is more unequally distributed than
income.
• Income is more unequally distributed than
consumption.
• The three Gini coefficients have a clear ranking.
0

Consumption
Gini 0.20-0.30

Income Gini
~0.57

Source: Diaz-Gimenez et al. (2011) and Hassett and Mathur (2012)

Wealth Gini
~0.80

1

Some questions
Why is there any measured wealth, income and consumption
inequality at all?
Could a standard macroeconomic model generate these
values for the Gini coefficients?
If we had such a model, what could it tell us about the
sources of inequality and possible policy interventions?

The Life Cycle Model

The life cycle model as standard macroeconomics
We use a very standard macroeconomic model, the life cycle
model.
Popularized by Samuelson, Modigliani, Azariadis, Auerbach,
Kotlikoff and Ríos-Rull, among others.
Our version is particularly simple relative to existing
quantitative theories of U.S. income and wealth inequality.

The life cycle model
The three stages of life
1. Schooling stage (not an explicit part of our version)
• Consume
• Acquire skills to be productive later

2. Labor market stage
• Consume
• Work and get paid according to productivity
• Acquire more skills on the job

3. Retirement stage
• Consume

More on the life cycle model
We think of people “entering the model” in their early 20s,
when they begin to make economic decisions on their own.
They have some existing amount of human capital that they
have been given while they were growing up.
 This is exogenous in our model.

The human capital manifests itself as a “lifetime productivity
profile.”
Households can sell their human capital on a market for a
competitive wage per unit of human capital.
Households retire at a fixed age.

Productivity profiles
Productivity

Years in
school /
college

Years in
labor
market

Years in
retirement

Age

From productivity to labor income
Skills are paid a price on the labor market: a wage.
A person’s labor income therefore depends upon:
 The “price” of skills
• Determined by the demand for skills from firms and supply from
workers

 The “quantity” of skills
• Determined by education and productivity profiles

Income profiles
Dollars

Years in
school /
college

Labor income

Years in
labor
market

Years in
retirement

Age

From income to consumption
Consumption takes place throughout life.
When labor income is low
 Must borrow against future labor income …
 … or live from past savings.

This indicates that credit markets will be important in this
model.

Income and consumption profiles
Dollars

Labor income
Consumption

Years in
school /
college

Years in
labor
market

Years in
retirement

Age

Income and consumption profiles
Dollars

Labor income
Consumption

Income exceeds
consumption: saving

Years in
school /
college

Years in
labor
market

Years in
retirement

Age

Income and consumption profiles
Dollars

Labor income
Consumption

Consumption exceeds
income: borrowing or
“dissaving”
Years in
school /
college

Years in
labor
market

Years in
retirement

Age

From labor income and consumption to net worth
Borrowing implies low net worth.
Saving implies net worth accumulation.
“Dissaving” implies that net worth decreases.

Income, consumption and net worth profiles
Dollars

Labor income
Consumption

Net worth or
financial
wealth

Years in
school /
college

Years in
labor
market

Years in
retirement

Age

Life cycle theory of inequality
We have a theory of wealth, income and consumption by age.
This already is a theory of inequality.
 Age differences imply differences in wealth, income and
consumption.
 Measured inequality arises via the life cycle, even if all
individuals have the same income profile.

Wealth inequality by age
The old own
wealth

Dollars

The young
have low
wealth
(or are in
debt)
Years in
school /
college

Net worth or
wealth

Years in
labor
market

Years in
retirement

Age

Income and consumption inequality by age
Dollars

Income
Consumption

• Consumption by age is less unequal than income
• This results from well-functioning financial
markets
Years in
school /
college

Years in
labor
market

Years in
retirement

Age

Median income, consumption and wealth in U.S. data

Source: Federal Reserve Board and Bureau of Labor Statistics. Last observation: 2014.

Another source of inequality
In U.S. data, there is inequality of wealth, income and
consumption within each age group.
The theory needs a second source of inequality.
 See R. Boshara, W.R. Emmons and Bryan J. Noeth, 2015, “The
Demographics of Wealth. How Age, Education and Race
Separate Thrivers from Strugglers in Today’s Economy,”
Center for Household Financial Stability, St. Louis Fed.

Differences in productivity profiles
Productivity

High
school

College

• When productivity
depends on schooling,
the most productive
people have more
years of schooling.

Years in
labor
market

Years in
retirement

Age

Income inequality across and within age groups
Dollars

High income
Low income

Income inequality
at a given age
High
school

College

Years in
labor
market

Years in
retirement

Age

Income inequality: age groups and education levels

Source: U.S. Census Bureau. Last observation: 2015.

Wealth inequality across and within age groups
Dollars
High wealth

Wealth inequality
at a given age
Low wealth

Years in
school /
college

Years in
labor
market

Years in
retirement

Age

Using the Theory to Understand Inequality

Can the model get close to the U.S. data?
The model equilibrium comes close to reproducing income
and wealth inequality as observed in U.S. data.
 Wealth inequality: 0.88 (versus 0.80 in U.S. data)
 Income inequality: 0.45 (versus 0.57 in U.S data)
 Consumption inequality: 0.41 (versus 0.20-0.30 in U.S. data)

The Gini coefficients are in the correct rank order.
The wealth and consumption Gini coefficients are somewhat
too high, while the income Gini coefficient is too low.
No billionaires!

Understanding inequality
Two sources of inequality in the model: (1) age and (2) twotier productivity profiles.
Measured inequality coming from age effects does not really
represent “fundamental inequality.”
 These people are identical in terms of lifetime wealth, income
and consumption. Hence, we refer to it as “benign” inequality.

Measured inequality coming from the two-tier lifetime
productivity profiles does represent “fundamental
inequality.”
 These people are very different in terms of lifetime wealth,
income and consumption.

An experiment: reducing inequality
What would inequality be if we could “magically” move 25%
of the population from the low-productivity profile to the
high-productivity profile?





Wealth inequality: 0.83 instead of 0.88 (6% less).
Income inequality: 0.29 instead of 0.45 (35% less).
Consumption inequality: 0.24 instead of 0.41 (41% less).
A reasonable idea of what can be achieved?

The economy with more people in the higher-productivity
profile would be much richer overall. There would be more
output and more consumption across the board.

Policy Options

Broad policy classes
I will comment briefly on four policy areas:
 progressive taxation,
 education,
 monetary policy and
 existing policies in place.

Policies—progressive taxation
Many policy discussions concerning inequality center around
progressive income or wealth taxation as a policy response.
Some types of progressive taxation have no effects in the
model studied here.
For instance, taxing high-income middle-aged households to
subsidize low-income young households can end up simply
replacing the credit market with a tax-transfer scheme.
In that scenario, measured inequality would not change.

Policies—education
The nature of this model makes education a natural candidate
to reduce measured inequality.
 In the model, more education could move more people to the
higher-productivity profile and reduce inequality.

This is just general productivity improvement, and so this
type of policy would be very good in almost any
macroeconomic model.
Implementation may be costly.
The evidence on education and inequality does not seem to
point in the right direction.

College enrollment through time
College enrollment (as a percentage of population) increased
in the past 60 years.
Inequality increased as well.
Is it obvious that more education should reduce inequality?
Who is getting the education?

College enrollment through time

Source: Census Bureau. Last observation: 2014.

Policies—monetary policy
Modern monetary theories view the central bank as
influencing the real rate of interest.
This affects borrowing and lending in the economy, which is
a central part of this model. Middle-aged households need to
save, and relatively young households want to borrow.
In the version we are presenting here, the credit market works
perfectly, so there is no role for the central bank.
But one could imagine a role for the central bank in a model
that has credit market frictions. See papers presented at the
Monetary Policy and the Distribution of Income Conference,
held in September 2015 at the St. Louis Fed.

Policies—existing policy
The Gini coefficients cited for this talk are based on raw
(before taxes and transfers) data on income and wealth.
The U.S. has many policies in place that are intended to
mitigate income and wealth inequality.
We can ask what the wealth, income and consumption Gini
coefficients are net of existing taxes and transfers.
This is suggestive of whether measures to mitigate inequality
are working or not.

Policies—existing policy
The U.S. data income Gini coefficient based on before-taxes
and transfers information is 0.57.*
The income Gini coefficient after taxes and transfers is 0.42.*
This shows that measured Gini coefficients are affected
greatly by current policies.

Source: Luxembourg Income Study (LIS).

Summary

Summary
Inequality in the U.S. is due in part to age differences
between people.
 Older people have more human capital, implying more income.
 Older people have more wealth because they had more time to
save.

Inequality is also due to differences in productivity early in
life.
 The role of education may be critical.

Even if policies could mitigate the second source of
inequality, significant inequality will remain.

Federal Reserve Bank of St. Louis
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