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Income Inequality and Monetary Policy: A Framework with Answers
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June 26, 2014
St. Louis Fed President James Bullard addressed three
questions concerning U.S. monetary policy and income
inequality during a Council on Foreign Relations event. He
discussed whether quantitative easing affects income
inequality, the impact a higher in ation target may have on
the poor, and whether current monetary policy hurts
savers.
Remarks: pdf | text (below) | Video
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Full text of remarks:
Income Inequality and Monetary Policy: A Framework with
Answers to Three Questions1
James Bullard, President and CEO
C. Peter McColough Series on International Economics
Council on Foreign Relations
New York, N.Y.
June 26, 2014

Three Provocative Questions

James Bullard
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"Rationally, let it be said in a
whisper, experience is certainly
worth more than theory."
Amerigo Vespucci

Concerns about economic inequality have been voiced
throughout history—Thomas Malthus, David Ricardo and
Karl Marx were among the rst but they had little
systematic data with which they could work. In the 20th
century, the advent of national income, tax return and other
economic data have allowed for a more rigorous analysis
of the issues surrounding inequality. Generally, the focus
has been on income inequality, but wealth and
consumption inequality are of much interest as well—
consumption might ultimately be a more useful variable for
assessing economic well-being. Estimates suggest that
wealth is much more concentrated than income in the U.S.
Consumption inequality is generally thought to be less than
income inequality. So the ranking seems to be: The wealth
distribution is the most unequal, the income distribution is
somewhat less unequal, and the consumption distribution
is even less unequal.

Virtually all research shows that U.S. income inequality has
increased over the past three decades, but there is much
disagreement over the extent of the increase. Major
disagreements and controversies arise from different
income measurements—pre-tax vs. after-tax vs. after-tax
plus in-kind bene ts; annual vs. lifetime earnings. A clear
message is that measurement matters.

Research also shows that income inequality across
countries is considerably more pronounced than within the
U.S. Moreover, over the past 50 years, income inequality
across countries has declined if one weights countries by
their populations. Rapid growth in China, India and
elsewhere has reduced global income inequality and lifted
many millions out of poverty. For today, I will focus on
wealth, income and consumption inequality in the U.S.,
which is where much of the recent debate has centered.

According to a January 2014 Gallup Poll,2 two of three
Americans were either somewhat or very dissatis ed with
the distribution of income and wealth in the U.S. This
dissatisfaction has led to opinions that government should
pursue policies to reduce the income gap between rich and
poor. A recent CNN/ORC International Survey3 found that
nearly 70 percent of respondents felt that government
should work to substantially reduce the gap.4

What might these policies look like? What role might
monetary policy play in this debate?

To focus our attention, I thought I would outline three
provocative questions concerning monetary policy and
income inequality that have repeatedly been asked in the
rousing public debate over monetary policy options in the
past ve years. To keep suspense at its very peak, I do not

plan to provide my answers to these provocative questions
until the very end of the talk.

Here are the three provocative questions: (1) Does the
Federal Reserve's quantitative easing program exacerbate
income inequality in the U.S. by putting upward pressure on
equity prices? (2) Would a higher in ation target in the U.S.
help or hurt the poor? (3) Does current monetary policy
hurt savers?

Interesting questions indeed. We need a simple way to
think about these issues before some tentative answers
can be provided.

Framework

My preferred framework to approach these questions is a
simple modi cation of a life cycle economy, and so I plan
to talk through some of the nice features of thinking of the
macroeconomic world using this approach. The life cycle
model is a workhorse within modern macroeconomics,
although it has been less popular in the past three decades
than its single household cousin, the representative agent
model. The chief advantage of the life cycle framework is
that, like the real world, it has plenty of heterogeneity—
many different households making many different
economic decisions. It also provides a natural and realistic
setting for household borrowing and lending, an essential
feature if we are to understand the impact of monetary
policy on credit markets.

For our purposes here, I can describe the basic outline of
this famous framework in just a few sentences. The life
cycle concept is that people begin to enter the part of their
lives where they make independent economic decisions in
their late teens or early 20s. They then live quarter by
quarter, making economic decisions about how much to
work, consume, borrow and save. They do this until death,
which in the U.S. averages around age 80. When people die
off, they are replaced in the economy by new entrants, in
such a way that, in the simplest versions, the total
population remains constant.

The key aspect of the framework for our purposes is the
following: Labor productivity varies over the life cycle. We
can think of each person as entering the economy with a
given life cycle productivity pro le which is initially near
zero, rises to a peak in the middle of adult life, near age 50,
and then declines again to a value near zero. Each person
can sell the productivity they have at a particular point in
the life cycle in a labor market at the competitive wage per
productivity unit, producing income. However, those at the

beginning and the end of the life cycle will have very little
productivity to bring to the market and hence will have low
incomes, while those in the middle of life have a lot of
productivity to bring to the market and thus have relatively
high incomes. This latter group will be in their "peak
earning years." Given these basic features, we will
necessarily observe income inequality.

One hardly needs a background in economic theory to
accept the basic outline I have just given. Indeed, nearly all
participants in the U.S. economy understand at an intuitive
level that their ability to earn income will vary substantially
as they age.

Income and Wealth Inequality

Very simple versions of this type of model can generate
substantial income and wealth inequality without adding
anything further to the analysis. Consider the case where
the productivity pro le begins at zero, rises linearly to a
peak at one, and then declines linearly to zero.5 In this
special case, 50 percent of the population would earn 75
percent of the income, that is, there would be a lot of
income inequality as an ongoing feature of the economy. In
addition, only 25 percent of the population would hold 75
percent of the net assets as an ongoing feature of the
economy. Fifty percent of the population—the relatively
young—would hold no net assets at all, but would instead
be net debtors. Wealth inequality would therefore be
substantial and would be even greater than income
inequality.6

These types of statistics have a broadly similar avor to
the ones discussed in the contemporary income and
wealth inequality debate in the U.S. Yet, while all the gures
I cite above are true, there would actually be no income
inequality in this economy at all. People are at different
stages of the life cycle, and taking a picture of income
earners at a point in time—as the gures cited above do, or
as a Gini coe cient does—re ects the different
productivity inherent in the life cycle. For 20-year-olds their
peak earning years are ahead, for 50-year-olds the peak
earning years are at hand, and for 80-year-olds the peak
earning years are in the past. These people have different
incomes today. But looking at their lifetime as a whole,
these three groups have exactly the same income if they
have exactly the same lifetime productivity pro le.7

Benign Income and Wealth Distributions

The point of this is to say that the simplest life cycle
framework will naturally generate relatively benign income

and wealth distributions. These distributions will re ect
variable labor productivity over the life cycle, and not more
malevolent forces at work. This raises the question of
whether the entire observed level of income and wealth
inequality in the U.S. could be due to this benign force at
work. In other words, can a life cycle model like the one I
have described generate income and wealth inequality on
the scale observed in the U.S. economy today?

The answer is that the plain vanilla versions of the model I
have described cannot give a satisfactory explanation of
the observed income and wealth distribution in the U.S. A
textbook calculation due to Heer and Maussner (2009) is a
sophisticated attempt to nd out what a realistic version of
this framework has to say about income and wealth
inequality.8 Their calibration of the model generates an
income Gini coe cient of about 0.42. A Gini coe cient is a
number between zero and one indicating the degree of
inequality, with zero indicating perfect equality and one
indicating perfect inequality. We want to compare this
number with what other researchers think the income Gini
is based on U.S. data alone. For this we can consider
estimates by Budría Rodríguez et al. (2002), who suggest
the U.S. income Gini is about 0.55. We conclude that the
model falls short of explaining observed U.S. income
inequality. Similarly, Heer and Maussner (2009) nd that
the wealth Gini generated by the calibration of their model
is about 0.58. Budría Rodríguez et al. (2002) estimate the
actual U.S. wealth Gini at 0.78. Thus the model falls short
on this dimension as well. One evidently needs something
else, something beyond the simple life cycle framework, to
explain the levels of income and wealth inequality we
observe in the U.S. There are many candidates for this
"something else," so I will leave it to you, dear listener, to
insert your favorite villain here.9

Still, let's not be too dismissive. The basic life cycle model
evidently explains an important fraction of the observed
U.S. income and wealth Gini coe cients. If you will permit
taking ratios of Gini coe cients, the relatively unadorned
life cycle model accounts for something on the order of 75
percent of the story of measured income and wealth
inequality in the U.S., according to the estimates above.

One might want to think of the level of inequality generated
by the life cycle model, as well as closely related estimates,
as the natural or ordinary level of income and wealth
inequality to be expected in a large capitalist economy with
relatively smoothly functioning markets and stable policy.
One may want to be especially careful not to disturb this
portion of income and wealth inequality through tax policy
or monetary policy.

Why do we want to be careful about this?

Shocking Secret

It is because this model also has a shocking secret—
shocking at least to the uninitiated. The secret is that
smoothly functioning credit markets work to x the income
inequality problem I am describing. If everyone in this
economy were to simply consume according to their
income—if there were no credit markets—people would
consume very little early and late in the life cycle and live
like kings in the middle. This means there are powerful
incentives for the relatively young—those in their 20s and
30s, say, to take on debt in order to smooth lifetime
consumption. There are also powerful incentives for
households in their peak earning years to save in order to
move income into their retirement years. This happy
coincidence creates a market, a fact that forms the
foundation of U.S. household credit markets.

How large is this market in the actual U.S. data? According
to Mian and Su (2011), the household debt-to-GDP ratio in
the U.S. has ranged from about 1.15 to 1.65 in recent
years. In today's dollars, this would amount to something
on the order of $19 trillion to $28 trillion.10 That's trillion
with a capital "T." So these markets seem to be large
indeed, much of it mortgage debt being incurred by the
relatively young in order to move housing services
consumption forward in the life cycle. This borrowing
simultaneously helps peak-earning saver households move
income into retirement years where they will need it.

The secret really hits home if you are willing to make
enough simplifying assumptions to really get to the core of
what this model says about income inequality: In the
simplest and most transparent version of the model,11 all
households alive at a point in time would consume exactly
the same amount, even though their incomes are radically
different. A smoothly functioning credit market would
completely solve the income inequality problem I am
describing. Consumption inequality would be zero, and so
the consumption Gini would be zero. This would be about
the best outcome one could hope for, because it would
mean that even though income varies widely by household,
and even though asset holding differs even more widely by
household, actual consumption would even out completely.
To the extent that credit markets are doing their job
reasonably well, one would not want to distort this life
cycle allocation process, and hence one might want to be
very careful in trying to design scal or monetary policies
that might impact U.S. credit markets.

All very well in theory, you say, but is this really what is
going on in the U.S. economy? Certainly not in the very
extreme form I have described. Still, the life cycle model
does tend to predict a lower consumption Gini coe cient
relative to the income or wealth Gini, which is true in the
U.S. data. This suggests that the framework has some
merit. Observed credit markets are surely facilitating
considerable consumption smoothing over the life cycle.

In the beginning of this talk, I said that income inequality
has been rising over time in the U.S. Could this also happen
in a life cycle framework? It certainly could. One might
think that those at the very beginning or end of the life
cycle are relatively unproductive today, and this situation
will not change much over the next 50 or 100 years. For
peak earners, however, new technology will likely increase
productivity, leading to even higher life cycle peaks in
income than we see today. In other words, future
technological change will likely bene t the highest income
earners rather than the lowest, increasing income
inequality. Variations on this theme go by the name of skillbiased technical change in the macroeconomics literature.
Recent research by Lansing and Markiewicz (2014)
provides a detailed model of how skill-biased technological
change can explain increasing income inequality in the U.S.
in recent decades. Interestingly, the model suggests all
households bene t from the skill-biased technical change,
not just those who enjoy higher incomes.

Non-Life Cycle Households

I said that one needs more than the unadorned life cycle
model to understand income and wealth inequality in the
U.S. What might we add to the simplest versions of the
model? There are many possibilities. Decisions to acquire
human capital, for instance, would be an excellent addition
to the model. We could understand how and why the
relatively young might or might not invest in education and
thereby increase income (or not) in their peak earning
years. In addition, actual borrowing and lending goes
through intermediaries, and the U.S. intermediation system
has been rocked with controversy since the nancial crisis
of 2007-2009. Surely a realistic intermediation sector, with
all its many dimensions, is important.

But let's focus.

For the purposes of this talk, I want to stress just one
addition. It is that not all households in the U.S. are likely to
be well-described by the "work every day," "plan-out-yourlife" aspects of the life cycle model. Many households
instead struggle with attachment to the labor force,
working only intermittently, and earning income where and

when they can. These households generally tend to have
lower incomes, and tend to suffer longer and more
frequent bouts of unemployment. Their life cycle plans can
frequently be derailed. This group of people tends to rely
much more on cash than the life cycle group. Yes, life cycle
borrowers and savers use cash and other forms of money,
but their most important transactions are accomplished
through credit markets. The non-life cycle group uses cash
to get by every day. We might proxy this group by the
unbanked. According to some accounts, the percent of U.S.
households that are unbanked is perhaps near 10 percent,
and the nearly unbanked may add to this for a total of as
much as 30 percent.12 This is essentially a relatively poor
group of households that is heavily reliant on cash.

Suppose we add this group to our model. Now we can
answer the three provocative questions posed at the
beginning of this talk.13

Answers to the Provocative Questions

Does quantitative easing exacerbate income inequality in
the U.S. by encouraging savers to move into riskier assets,
such as equities? Many have suggested that the FOMC
policy of buying U.S. Treasury securities and mortgagebacked securities has depressed real yields on relatively
safe assets and thus encouraged movement into equities,
raising equity prices. It is often said that only 50 percent of
households hold equities in the U.S., and they tend to be
the wealthiest households; so this policy is making the
wealth distribution more unequal.

The life cycle model gives us some perspective on this type
of thinking. The framework indeed suggests that relatively
older households—only half the population—should hold
the lion's share of assets, including equities. In my opinion,
equity prices have indeed been in uenced by quantitative
easing. But I would stop short of saying that this has made
wealth inequality worse. The relatively old are going to
have to be the domestic holders of the capital stock of the
U.S., and they will sell this ownership on to the next
generation as they exit the economy. Ideally, when each
generation is holding the capital stock, they do so at
"normal prices," neither too high nor too low. Actual equity
prices were well below normal by conventional valuation
metrics in 2008 and 2009, and they have recently returned
to more standard valuations. To me, this suggests that
quantitative easing had no medium-term implications for
the U.S. income or wealth distribution—it is only as good or
bad as it was before the crisis.14

How about the second question: Would a higher in ation
target help or hurt the poorest segment of society? For this

question, recall that I added a non-life cycle group to the
economy in the previous section. These households rely on
cash for much or all of their nancial life. They tend to have
lower incomes than the life cycle households. Higher
average in ation is going to damage the well-being of
these households directly. They are holding all of their
income each year in the form of cash, unprotected from
in ation. A higher average in ation rate directly reduces
the value of their nancial wealth. While it is true this part
of the population tends to have longer and more frequent
spells of unemployment, monetary policy cannot in uence
the average unemployment rate in the medium- or longterm. The answer to this question is that a higher average
in ation rate would hurt this poorest group in the economy.

The nal provocative question is: Does current monetary
policy hurt savers? Many have argued that FOMC policy
over the past ve years has been to keep real interest rates
low, and that these low real yields have impaired the
returns of those saving for retirement or in retirement. I
have saved this question for last because I think it is the
most di cult of the three I have posed here today. In my
opinion, Fed policy generally and quantitative easing in
particular have in uenced the real yield earned by savers.
The question is then whether the Fed helped or hurt the
situation by pushing real yields lower during the past ve
years. This hinges on whether credit markets have been
functioning smoothly during the period when quantitative
easing has been a popular policy. If credit markets were
working perfectly or nearly perfectly, then the Fed
intervention to push real yields lower than normal was
unwarranted and the low real yields were indeed punishing
savers. My University of Chicago economics instincts give
some credence to this view. At the same time, it seems
odd to argue that credit markets were working perfectly or
nearly perfectly over the past ve years, in the aftermath of
one of the largest nancial crises the country has ever
experienced, and one that was largely driven by mortgage
debt run awry. The policy of the FOMC has been that, on
balance, low real yields will help repair the damage from
the crisis more quickly, and I have largely sided with the
Committee in this judgment. As time passes, however, it
becomes more and more di cult to argue that credit
markets remain in a state of disrepair, and thus harder and
harder to justify continued low real rates.

I hope these answers are as provocative as the questions. I
appreciate your kind attention and I look forward to taking
your questions.

Thank you.

Endnotes

1

I thank Cletus Coughlin for assistance in preparing these

remarks. Any opinions expressed here are my own and do
not necessarily re ect those of others on the Federal Open
Market Committee or the Federal Reserve System. [back to
text]
2

See http://www.gallup.com/poll/166904/dissatis ed-

income-wealth-distribution.aspx. [back to text]
3

See

http://cnnpoliticalticker. les.wordpress.com/2014/02/rel3d.pdf.
[back to text]
4

This response nding seems to take for granted existing

policies, such as progressive taxation, which have been
designed to help mitigate income inequality. [back to text]
5

To be more speci c, I would have to list many additional
assumptions. Those interested in more details may wish to
consult Bullard (2014). [back to text]
6

This statement equates the wealth distribution with
nancial asset holding. This will keep the discussion in this

speech consistent with popular discussions of wealth. In
macroeconomics, the "wealth of the nation" is the value of
the physical capital stock, or, in more sophisticated
versions, the value of the physical and human capital
stocks added together. [back to text]
7

This statement assumes no ongoing economic growth. If

there were ongoing growth, the person born later is richer,
but most of the contemporary discussion of income
inequality is not about this type of inequality. [back to text]
8

See Chapter 10.2.2., p. 540 in Heer and Maussner (2009).
[back to text]
9

One intriguing candidate for a villain has recently been put
forward by Greenwood et al. (2014). They investigate how
assortative mating—that is, highly educated people
marrying other highly educated people—has contributed to
increased household income inequality in the U.S. during
the post-war era. [back to text]
10

For background on how household balance sheets were

affected by the nancial crisis and related issues, see the
St. Louis Fed's Center for Household Financial Stability:
http://www.stlouisfed.org/household- nancial-stability/.
For additional discussion on income inequality, see an
upcoming article by Chris Waller and Lowell Ricketts in the
Federal Reserve Bank of St. Louis' The Regional Economist.
[back to text]
11

See Bullard (2014). [back to text]

12

See FDIC (2012). [back to text]

13

For more perspectives on the intersection of monetary

policy and income inequality, interested readers may wish
to consult Coibion et al. (2012), Romer and Romer (1998),
Gornemann et al. (2012), Airaudo and Bossi (2014) and
Gottlieb (2014). [back to text]
14

For a sophisticated variant of this thinking generally

supporting quantitative easing, see the life cycle analysis
of Glover et al. (2011). [back to text]

References
Airaudo, Marco and Bossi, Luca. "Trickle-Down
Consumption, Monetary Policy, and Inequality,"
unpublished manuscript, University of Pennsylvania,
2014.

Budría Rodríguez, Santiago; Díaz-Giménez, Javier; Quadrini,
Vincenzo and Ríos-Rull, José-Víctor. "Updated Facts on
the U.S. Distributions of Earnings, Income, and Wealth,"
Federal Reserve Bank of Minneapolis Quarterly Review,
2002, 26(3): 2-35.

Bullard, James. "Discussion of Kevin Sheedy, Debt and
Incomplete Financial Markets," Brookings Papers on
Economic Activity, forthcoming, 2014. The related
presentation is available here.

Coibion, Olivier; Gorodnichenko, Yuriy; Kueng, Lorenz and
Silvia, John. "Innocent Bystanders? Monetary Policy
and Inequality in the U.S.," NBER Working Paper No.
18170, 2012.

Federal Deposit Insurance Corporation. 2011 FDIC National
Survey of Unbanked and Underbanked Households,
available at http://www.fdic.gov/householdsurvey/,
September 2012.

Glover, Andrew; Heathcote, Jonathan; Krueger, Dirk and
Ríos-Rull, José-Víctor. "Intergenerational Redistribution
in the Great Recession," NBER Working Paper No.
16924, 2011.

Gornemann, Nils; Kuester, Keith and Nakajima, Makoto.
"Monetary Policy with Heterogeneous Agents," Federal
Reserve Bank of Philadelphia Working Paper No. 12-21,
2012.

Gottlieb, Charles. "On the Distributive Effects of In ation,"
unpublished manuscript, Oxford University, 2014.

Greenwood, Jeremy; Guner, Nezih; Kocharkov, Georgi and
Santos, Cezar. "Marry Your Like: Assortative Mating
and Income Inequality," American Economic Review
(Papers and Proceedings), 2014, 104(5): 348-53.

Heer, Burkhard and Maussner, Alfred. Dynamic General
Equilibrium Modeling: Computational Methods and
Applications, Second edition. Berlin: Springer-Verlag,
2009.

Lansing, Kevin and Markiewicz, Agnieszka. "Top Incomes,
Rising Inequality, and Welfare," Federal Reserve Bank of
San Francisco Working Paper No. 2012-23, 2014.

Mian, Atif and Su , Amir. "House Prices, Home EquityBased Borrowing, and the US Household Leverage
Crisis," American Economic Review, 2011, 101(5): 213256.

Romer, Christina D. and Romer, David H. "Monetary Policy
and the Well-Being of the Poor," in Proceedings of the
Jackson Hole, Wyo. Symposium Income Inequality
Issues and Policy Options, 1998.

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