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The Rise of Corporate Savings*

O

by Roc Armenter

ver the past few decades, several developed
economies have experienced large changes in
how much households and firms save. In fact,
a sharp increase in firms’ savings behavior
has changed the net position of the (nonfinancial)
corporate sector vis-à-vis the rest of the economy.
Why have firms in the business of producing goods
or services become lenders? This is quite at odds with
traditional models of corporate finance, which suggest
that firms issue debt and equity to fund their operations
and finance their investment projects. But successful
firms appear to accumulate financial assets even when
they are issuing equity, and these financial holdings are
mainly in a very liquid form that pays a low return. This
poses a conundrum, since holding financial assets while
maintaining outstanding equity positions is expensive for
the firm. In this article, Roc Armenter looks carefully at
the data to learn which firms have been responsible for
the rise in corporate savings and then briefly discusses
the costs and benefits of equity relative to debt.

Over the past few decades, several
developed economies have experienced
large changes in how much households
and firms save. For the U.S., net savings by the private sector (as a ratio to
Roc Armenter
is an economic
advisor and
economist in
the Research
Department of
the Philadelphia
Fed. This paper
is available free
of charge at www.
philadelphiafed.org/research-and-data/
publications/.
www.philadelphiafed.org

gross national product) dropped from
10 percent in the 1970s to less than 4
percent at the beginning of the 2000s.
The underlying changes in the saving
behavior of households and firms separately are, perhaps, even more dramatic. Since the early 1980s, U.S. households have spent rather than saved an
increasingly large fraction of their total
income, driving down the personal

*The views expressed here are those of the author and do not necessarily represent the views
of the Federal Reserve Bank of Philadelphia or
the Federal Reserve System.

savings rate. In contrast, firms have
become thriftier, retaining a larger
fraction of corporate profits and channeling equity revenues into savings
instruments traditionally associated
with household finances, some as basic
as checking or savings accounts.
Indeed, the sharp increase in
firms’ savings behavior has changed
the net position of the (nonfinancial)
corporate sector vis-à-vis the rest of
the economy. The net position is defined as the difference between how
much other sectors owe the corporate
sector (financial assets) minus how
much the corporate sector owes to
other sectors (debt). In the 1970s and
1980s the corporate sector was a net
debtor, borrowing between 15 and 20
percent of the value of its productive
assets (for example, plants and equipment) from the rest of the economy.
However, by the 2000s, the corporate
sector had switched to being a net
lender, and over the period 2003-2007,
the sector was saving more than 5
percent of the value of its productive
assets.
Why have firms in the business
of producing goods or services become
lenders? This is quite at odds with traditional models of corporate finance,
which suggest that firms issue debt
and equity to fund their operations
and finance their investment projects.
The firm’s creditors or bondholders
are promised a fixed return, although
there is always the risk that the firm
may go bankrupt and not be able to
repay them. Shareholders receive dividends, which vary with the firm’s performance, and they can exert control
over a firm’s management through the
board of directors. An entrepreneur
looking to start a business may rely on
Business Review Q3 2012 1

his or her own resources, bank loans,
and perhaps some partners to provide
additional equity. If the business is
successful, it may look to expand aggressively and resort to private equity
investors, such as venture capital firms,
and acquire larger bank loans. Finally,
the firm may go public, and its shares
may be traded on the stock market,
perhaps its bonds too.
Surprisingly, though, there is one
more stage: Successful firms appear
to accumulate financial assets even
when they are issuing equity, and these
financial holdings are mainly in a very
liquid form that pays a low return. This
poses a conundrum because there are
several reasons why holding financial
assets while maintaining outstanding
equity positions is expensive for the
firm. Unlike equity, financial assets
provide a readily available, no-stringsattached, cheap source of funding. In
addition, even if a firm does not have
financial assets with which to fund its
operations, it should prefer to use debt
over equity. The benefits of debt over
equity financing include the fact that
interest payments on debt are tax deductible, while equity is subject to both
corporate and dividend taxes. In addition, equity has significant flotation
costs, can worsen corporate governance
by bringing external ownership into
the company, and may be associated
with a negative signal regarding the
quality of the firm.1 Thus, from a cost
perspective, firms should adhere to a
hierarchy of financing sources: First,
they should rely on internal funds; if
external finance is needed, debt should
be preferred to equity, which becomes

1
Flotation costs are the costs associated with
a new issuance of securities, which includes
underwriting fees and compliance with regulations, among other costs. Note, though, that
debt does introduce some potential costs of its
own. For example, highly leveraged firms may
pass over good investment opportunities because the possibility of liquidation decreases the
return for the firm (called debt overhang).

2 Q3 2012 Business Review

a finance source of last resort. Indeed,
the advantages of debt over equity are
such that even the low level of debt in
the 1970s is quite puzzling!
This article first looks carefully
at the data to learn which firms have
been responsible for the rise in corporate savings and then briefly discusses
the costs and benefits of equity relative to debt. As discussed below, firms
appear to rely on savings primarily to
avoid having to tap into expensive
financing sources for investment in
times of distress. This behavior is similar to households that stash a “rainy

decades, it is useful to scale the net
financial asset position by the firms’
productive assets. These assets play
a direct input role in the production
of the firm, such as plant, equipment,
property, and inventories, as well as the
unamortized value of tangible assets.
Aggregate Data. We start by
taking a look at the big picture. The
Flow of Funds data, put together by
the Federal Reserve Board, contain
information about the flow and position of several asset classes for detailed
sectors of the economy.2 Using these
data, we can look at the net position

Even a highly levered firm will carry some
financial assets in the form of cash on its
balance sheet for operating purposes (e.g.,
timely payments and small, unexpected
expenses).
day” fund for future contingencies like
medical bills or job loss. In addition,
changes in dividend taxation and regulation can help explain the evolution
of the net position of the nonfinancial
corporate sector over time.
THE FACTS
Let’s start with some definitions.
The net financial asset (NFA) position
of a firm is the difference between
financial assets and debt. Even a highly
levered firm will carry some financial
assets in the form of cash on its balance sheet for operating purposes (e.g.,
timely payments and small, unexpected expenses). Conversely, a firm may
have substantial cash holdings but still
be indebted, since some of the loans
outstanding may not be worth buying
back or it may not be possible to do
so. For our purposes here, net financial
position accurately summarizes the
financial standing of the firm.
When we compare firms of different sizes, as well as firms in different

for the nonfinancial corporate sector
as a whole.3
Figure 1 shows the dynamics of
the NFA to capital ratio during 19702007. The ratio for the economy as a
whole was relatively stable at -0.15 during the 1970s and 1980s, experienced a
dramatic run-up during the 1990s, and
stabilized again at around 0.04 in the
2000s. These developments highlight
the transition of the U.S. corporate
sector from a net debtor into a net
creditor at the turn of the century.
The increase in firms’ NFA posi-

2
The Flow of Funds data are available at http://
www.federalreserve.gov/apps/fof/Default.aspx.
3
We focus on the nonfinancial corporate sector,
which excludes financial firms and farms. Note
that we are calculating a net position for the
sector as a whole. That is, to get the NFA position, we add up the asset positions all the firms
in the sector have with the rest of the economy
(households, government, the financial sector, or the rest of the world) and subtract the
liability positions of all the firms in the sector.
Positions among firms in the sector do not
count toward the total NFA position.

www.philadelphiafed.org

tion was also accompanied by a rise
in equity financing, such that the net
worth (at market value) of the U.S.
corporate sector as a share of its capital
has increased from 0.85 in the 1970s
and 1980s to 1.03 in the 2000s. Thus,
the increase in the NFA position is not
just a move away from external financing but an aggregate change in the
composition of the corporate balance
sheet.
Firm-Level Data. Unfortunately,
the Flow of Funds does not make its
underlying data available, and thus,
we cannot learn more about which
firms are behind the rise of corporate
savings. For this, we turn to the
Compustat data set.
This data set offers detailed
information on the balance sheets of
publicly traded firms.4 The latter are
not a representative sample of all firms
in the economy: Firms listed on stock
markets tend to be larger, older, and
more successful than firms that rely
on private equity. However, for our
purposes of examining NFA positions,
this is not too large a drawback, since
recent research suggests that private
firms did not account for much of the
increase in the NFA ratio over time.5

Compustat firms account for close to twothirds of total U.S. private employment and 90
percent of total U.S. tangible assets. Compustat
data are available for a fee from Capital IQ
Compustat. In order to track the Flow of Funds
data and avoid measurement error problems, we
focus on U.S. firms only, and we exclude technology and financial firms, as well as regulated
utilities. We also drop firms whose capital is
below $50,000 and those with negative equity
and nonpositive sales.

4

5
The recent work by Huasheng Gao, Jarrad
Harford, and Kai Li suggests that these firms
may not have contributed much to the rise in
the NFA to capital ratio in the U.S. corporate
sector. Using a sample of U.S. public and private
firms during 2000-2008, Gao, Harford, and
Li show that, on average, private firms hold
less than half as much cash as public firms do.
While their work primarily concerns firms’
cash holdings, rather than NFA positions, it
is still informative, since, as we show later, an
increase in cash holdings and other short-term
investments contributed most to the increase in

www.philadelphiafed.org

We are also confident that sample
selection issues are not important
because we find that Compustat firms
mimic the trends we uncovered in the

the NFA position. There is also some evidence
that non-U.S. private firms carry only moderate
amounts of liquid assets, as documented in the
study by Mervi Niskanen and Tensie Steijvers.

aggregate data. Both the mean and
the median NFA to capital ratios have
been rising steadily over time. The
mean turned positive in the mid-1990s,
reaching about 12 percent in 20062007.
Figure 2 takes a closer look at the
distributions of the NFA to capital
ratio in the 1970s and 2000s. Several

FIGURE 1
Corporate Net Financial Assets
(NFA)/Capital
.05

0

-.05

-.10

-.15

-.20

-.25

1970

1980

1990
Year

2000

2010

Source: U.S. Flow of Funds

FIGURE 2
Corporate NFA/Capital
Density
1.5

1970s

2000s

1.0

0.5

0

-1

0

1

2

NFA/Capital

Source: Compustat

Business Review Q3 2012 3

features stand out. First, there is a
rightward shift in the distribution of
the NFA to capital ratio in the 2000s
relative to the 1970s, as we would expect from the mean and median data
reported previously. Second, the share
of firms with a positive NFA position
has increased, from approximately
25 percent of firms in the 1970s to
more than 40 percent in the 2000s.
In particular, there is no evidence
that the aggregate data are driven by
a small fraction of firms: It is rather a
widespread phenomenon. Finally, we
do not see much of a change on the
left tail of the distribution: Heavily
indebted firms co-exist with firms with
a positive NFA both in the 1970s and
in the 2000s. Thus, it appears that the
maximum amount of debt a firm can
carry has not significantly changed
over time.
Next, we investigate which assets are behind the rise in corporate
savings. Figure 3 breaks down the
financial assets of the firm into their
components: cash (which also includes
some very short-term investment,
such as savings accounts), receivables
(money due from customers), and other
financial investments. The left-most
bar shows the change in total assets as
a percent of productive assets.
From Figure 3, it is easy to see that
most of the rise in assets is due to larger cash and equivalent holdings of U.S.
firms. Other asset categories have been
going up as well, but at a much slower
pace. Finally, accounts receivable have
declined from about 28 percent of the
median capital level in the 1970s to
less than 20 percent in the 2000s. On
the liability side, long-term debt and
accounts payable have both fallen over
time, while short-term debt showed a
slight increase. Overall, these breakdowns suggest a shift in firms’ balance
sheets away from long-term assets and
liabilities and toward their short-term
counterparts.
Next, we turn our attention to
4 Q3 2012 Business Review

the question of which firms are driving the rise in corporate savings. Are
the savings of larger or smaller firms
changing the most? Are firms in different sectors displaying much different
savings behavior? With regard to the
first question, Figure 4 plots the level
of the NFA to capital ratio for firms

with different numbers of employees,
both for the 1970s and 2000s.6 Clearly,
6
We organize the number of employees by
deciles. That is, the first observation corresponds to the average of the 10 percent of firms
with the least number of employees, the second
observation to the next 10 percent of firms as
ranked by total employees.

FIGURE 3
Financial Assets 1974 - 2007
Difference 1974 - 2007
.30
.25

0.25

.20
.15
0.12
.10
.05
.00

0.03
Receivables
Total Assets

Cash

Other

-.05

-0.05

-.10

Source: Flow of Funds

FIGURE 4
Corporate NFA/Capital
Median
.3

1970s

2000s

.2

.1

0

-.1

-.2

-.3

0.05

0.13

0.29

0.55

1.00

1.80

3.30

6.50

17.1

>17.1

Employment Percentile (thousands)

Source: Compustat
www.philadelphiafed.org

small and medium-size firms (that is,
firms with a size up to the median
employment level) have experienced
the largest increase in the NFA to
capital ratio.7 While NFA and employment don’t show much association in
the 1970s, the relationship is clearly
decreasing in the 2000s.
Savings Across Industries. Finally, we turn to savings behavior across
industries. Figure 5 plots the ratio of
the median NFA to median capital
ratio in six industries: agriculture and
mining; manufacturing; trade, transportation, and warehousing; services;
construction; and information technology and telecommunication services.
Several notable features of the data

stand out. First, the increase in the
NFA to capital ratio is characteristic
of all industries, with the exception
of construction, which shows a clear
break in the series in the late 1980s.
The technology sector, on the other
hand, shows the most pronounced
increase in NFA over our sample period. In fact, this sector turned into a
net lender in the early 1990s and has
continued to accumulate net financial
assets ever since. Therefore, developments in the technology sector could
have contributed to the run-up in aggregate NFA observed in the Flow of
Funds series, especially in the 1990s.
Second, there are some persistent
differences in the level of the NFA
to capital ratio across industries. For
instance, firms in the trade, transportation, and warehousing industries have consistently had the lowest
level of NFA to capital ratio during
1970-2007. The technology sector was
characterized by the lowest level of
NFA to capital ratio in the early 1970s,
but as discussed above, this has clearly
changed over the past 30 years. Finally,
agriculture and mining, manufacturing, and services, all have very similar

7
Is it size or age that matters? We also took
a look at the NFA to capital ratio for entrant
firms by decade. Our results indicate that
entrants tend to have higher NFA to capital
ratios relative to incumbents and that this
tendency has become more pronounced over
time. Most of the differential in NFA to capital
ratios between incumbents and entrants is due
to the latter’s larger cash holdings and shortterm investments. Over time, both cohorts have
increased their holdings of cash and short-term
investments, but entrants have done so at a
significantly faster pace.

FIGURE 5
Corporate NFA/Capital
Ratio of Medians
.6

agri
serv

.4

manuf
construct

trade
tech

.2
0
−.2
−.4

levels and dynamics of NFA to capital
ratios over our sample period: a slow
but steady rise starting around 1980
and a leveling off in the 2000s.
THE THEORY
Can we explain why firms are
interested in net lending and what has
changed since the 1970s? To do so, it
is useful to take not one but two steps
back in time and revisit corporate finance theory since its inception.
The first chapter of modern corporate finance was written by Franco
Modigliani and Merton Miller in the
early 1960s. They provided conditions
such that the split between debt and
equity was “irrelevant”; that is, the
share of debt and equity with which
a firm financed its operations did not
change the market value of the firm.
Merton Miller himself explained his
theory by comparing the firm to a “gigantic tub of whole milk.”8 The farmer
can sell the whole milk as it is, or he
can separate out the cream (debt),
which sells at a higher price than the
left-over skim milk (equity). If the
prices of both cream and skim milk are
competitive, that is, the price of cream
exactly reflects the amount of whole
milk needed, the cream plus the skim
milk will always bring the same price
as the whole milk, no matter how the
farmer decides to split them.9
The Modigliani-Miller result is
better understood as a benchmark, as
there is plenty of evidence that the
capital structure of a firm can affect its
value. Economists carefully evaluate
the costs and benefits of debt and equity relative to the competitive price,
knowing that only deviations from
the latter will determine the corporate
finance strategy and the overall value
of the firm. These deviations may arise

−.6

1970

Source: Compustat
www.philadelphiafed.org

1980

1990
Year

2000

2010

8
There is no reason the tub of whole milk needs
to be “gigantic,” but apparently Merton Miller
had a taste for colorful descriptions.
9

The metaphor is taken from Miller’s book.
Business Review Q3 2012 5

from market distortions, adjustment
costs, or other considerations internal
to the firm.
The Pecking Order Theory.
While each finance source has its
advantages and disadvantages, most
researchers in corporate finance agree
that internal funds are cheaper than
external funds and, if the latter are
needed, debt offers several advantages
over equity — the so-called pecking order theory.10 First, the theory
prescribes that a firm should rely on its
own funds if possible. Internal funds
are not free. Even though there are no
external financiers to be compensated,
internal funds have an opportunity
cost because the firm will not receive
the interest that the funds would
accrue in the bank. However, these
returns are low and are fully taxed, so
internal funds are cheap. If no internal
funds are available, the firm should
resort to debt, according to the pecking order theory. The main advantage
of debt is that interest payments can be
expensed from corporate tax liabilities,
what amounts to a subsidy in excess
of 30 percent for most corporations.
In addition, debtors have no direct
control over the firm, and thus, debt
avoids the conflicts of interest between
managers and shareholders that plague
equity.11 The main disadvantage of
debt is the threat of liquidation. If the
firm cannot pay its debts, its creditors
would force it to sell its assets, presumably at a discount, to cover its obliga-

See the article by Murray Frank and Vidhan
Goyal for a review of the empirical evidence.
See the book by Jean Tirole for a compendium
of theories on corporate finance.

10

11
Shareholders and managers may not agree on
the relevant horizon and risk considerations for
investment. For example, a manager may favor
short-term returns or safer investments. However, debt is not free of corporate governance
problems. In particular, debtors and shareholders may not agree either. As a result, debt
may lead to underinvestment by the firm. For
further reading, see the Business Review article
by Mitchell Berlin.

6 Q3 2012 Business Review

tions. This may result in losses and
thus lower the value of the firm.
Finally, equity appears to be the
least attractive source of finance. Equity does not enjoy the tax advantages
of debt, and it is subject to dividend
and capital gains taxes, whose effective rates have traditionally been
quite high. In addition, equity has
significant flotation costs, can worsen
ownership problems by bringing external ownership into the company, and
may signal that the firm was unable to
obtain credit from banks.
Thus, according to the pecking
order theory, firms should adhere to a
hierarchy of financing sources. They
should rely on internal funds; if external finance is needed, debt should be
preferred to equity, which becomes a
finance source of last resort.

in the event of financial distress, when
the firm is unlikely to be able to obtain
new credit.
The key insight is that the value
of finance is not always the same for
a firm. In particular, if a firm suffers
operational losses or faces a large investment project, an additional dollar
of financial assets may be very valuable, since the firm may not be able
to borrow anew. For a firm without
financing needs, either due to the lack
of investment opportunities or thanks
to a large cash flow, an additional dollar is not so valuable. Note that the
firm is comparing the value of each
asset at future dates and across possible
contingencies.
In this sense, the firm is hedging
by carrying cash and simultaneously
issuing equity. If the firm receives a

The main advantage of debt is that interest
payments can be expensed from corporate
tax liabilities, what amounts to a subsidy in
excess of 30 percent for most corporations.
From the theory’s perspective,
a firm that simultaneously relies on
equity and carries a large NFA position
is a puzzle. Such a firm should use its
internal funds to buy back equity from
shareholders and effectively decrease
the cost of its financing and hence
increase its market value. Thus, the
theory cannot explain the facts for the
2000s.
One reason may be because the
pecking order theory misses a key
advantage of equity: Equity allows the
firm to suspend dividends if it is in
financial distress. This is not true of
debt, where suspension of interest payments can invoke bankruptcy and liquidation. Crucially, the firm must carry
some cash in order to take advantage
of the “insurance” aspect of equity, so
that cheap internal funds are available

negative shock, e.g., an investment
goes awry, it can suspend dividend
payments and tap the internal funds
it had saved — right when one additional dollar is very valuable. The
reason is that the firm is unlikely to
take out new loans in the event of a
negative shock.12 Note the contrast
between equity and debt obligations,
which cannot be suspended. So the
firm with a large amount of debt would
find itself in the difficult spot of having
to finance its losses and service its debt
payments.

Firms actively rely on credit lines provided by
banks. These credit lines, though, come with
covenants that make it hard to use them when
the firm is in distress. That is, credit lines are an
umbrella that does not open when it rains. See
the study by Amir Sufi for evidence.

12

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Thus, the firm needs to account
for its financial condition in the future
in order to decide on the appropriate
mix of equity and debt. Indeed, firms
find it useful to accumulate cash and
other liquid assets on hand to minimize the chances that they will face
financial distress, yet they will still
actively maintain outstanding equity
because it serves as insurance. In my
study with Viktoria Hnatkovska, we
show that this simple idea can explain
the observed distribution of NFA
positions across firms in the 2000s.
The study by Christopher Hennessy
and Toni Whited and the one by Joao
Gomes also show how the firm’s concerns about future financial conditions
are consistent with several observations in the corporate finance literature.
The theory can also explain why
the corporate sector was a borrower in
the 1970s but not in the 2000s. In particular, we find that the differences in

the tax treatment of equity versus debt
can explain the data in both decades.
Starting in the late 1970s, changes
in the U.S. tax and regulatory system
decreased the cost of equity. First and
foremost, there were large changes in
the relevant tax rates. James Poterba
provides estimates of the effective tax
rate on dividends and shows that they
decreased by half from 1979 to the
end of the 1980s, from 28 percent to
about 15 percent. In addition, a series
of regulatory changes made it possible
for fiduciary institutions, like pension
funds, to hold a larger share of their
funds in equity. These institutions do
not pay dividends, income, or capital
gains taxes and thus have a large appetite for equity, bringing down its cost
for firms.13

See Ellen McGrattan and Edward Prescott’s
study for a detailed discussion of regulatory
changes for the U.S. and the U.K. and how they
decreased the cost of equity.

13

FIGURE 6
Corporate NFA/Capital and Taxes
Tax Rate

Net Savings
.05

.40
netsav

tax rate

0

.35
.30

-.05
(right scale)

(left scale)

-.1

.25

-.15

.20

-.2

.15

1970

1980

1990
Year

Source: U.S. Flow of Funds and McGrattan and Prescott

www.philadelphiafed.org

2000

2010

Figure 6 plots the NFA position
from the Flow of Funds data (as in Figure 1), together with the effective dividend tax rate computed by economists
Ellen McGrattan and Edward Prescott.
The figure shows how the dividend
tax rate collapsed over the decade of
the 1980s. The NFA position initially
stayed stable but then started a steep
climb and crossed into positive territory. The lag between the changes in
tax rates and the NFA position is not
surprising: Firms cannot reshuffle their
balance sheets on the spot without
incurring large adjustment costs. It
is, thus, clear that the relative cost of
equity in the 1970s was significantly
higher due to more stringent taxation
and regulations. The higher cost of equity is akin to a higher “insurance premium” from the firms’ point of view.
Firms value equity for its ability to
provide financial relief whenever they
find themselves in distress. However,
since it was more costly, it was used
more sparingly. Thus, firms relied more
on debt, and the corporate sector as a
whole had a negative NFA position.
CONCLUSION
We have documented how firms
have become, on the whole, net lenders to the rest of the economy. The
change in saving behavior is quite
uniform across sectors and seems
particularly strong for newer, mediumsize firms. We then discussed how to
square this fact with the relative cost
of equity versus debt. Equity, despite its
tax disadvantages, offers insurance to
firms in case of losses or distress, since
it allows them to suspend dividend
payments. The shift of the sector into
net lending reflects the decrease in
dividend and capital gains tax rates,
which, in turn, reduced the fiscal advantages of debt. BR

Business Review Q3 2012 7

REFERENCES
Armenter, Roc, and Viktoria Hnatkovska.
“The Macroeconomics of Firms’ Savings,”
manuscript (2011).

Gomes, Joao F. “Financing Investment,”
American Economic Review, 91:5 (2001), pp.
1263-85.

Berlin, Mitchell. “Debt Maturity: What
Do Economists Say? What Do CFOs Say?,”
Federal Reserve Bank of Philadelphia Business Review (First Quarter 2006).

Hennessy, Christopher A., and Toni M.
Whited. “Debt Dynamics,” Journal of Finance, 60:3 (2005), pp. 1129-65.

Frank, Murray, and Vidhan Goyal. “Tradeoff and Pecking Order Theories of Debt,”
in Espen Eckbo, ed., The Handbook of
Empirical Corporate Finance. Elsevier, 2008.
Gao, Huasheng, Jarrad Harford, and Kai
Li. “Determinants of Corporate Cash
Policy: A Comparison of Private and Public Firms,” Working Papers SSRN 1722123
(2010).

8 Q3 2012 Business Review

McGrattan, Ellen R., and Edward C.
Prescott. “Taxes, Regulations, and the Value of U.S. and U.K. Corporations,” Review
of Economic Studies, 72 (2005), pp. 767-96.
Miller, Merton. Financial Innovations and
Market Volatility. Cambridge, MA: Blackwell Publishers, 1991.

Niskanen, Mervi, and Tensie Steijvers.
“Managerial Ownership Effects on Cash
Holdings of Private Family Firms,” Working Papers, University of Eastern Finland
(2010).
Poterba, James. “Tax Policy and Corporate
Saving,” Brookings Papers on Economic Activity, 2 (1987), pp. 454-504.
Sufi, Amir. “Bank Lines of Credit in Corporate Finance: An Empirical Analysis,”
Review of Financial Studies, 22:3 (2009), pp.
1057-88.
Tirole, Jean. The Theory of Corporate Finance. Princeton, NJ: Princeton University
Press, 2006.

www.philadelphiafed.org

The Economics of Household Leveraging
and Deleveraging*

S

by Wenli Li and Susheela Patwari

ince the start of the financial crisis of 200709, a historically large number of household
loans have become delinquent and residential
houses have been foreclosed. This situation,
coupled with households actively paying down their
debt or cutting down on new borrowing, marked the
beginning of household deleveraging. In this article,
Wenli Li and Susheela Patwari discuss recent theoretical
and empirical work by economists that sheds light on the
process of leveraging and deleveraging and that helps to
provide answers to a number of questions, such as: What
determines when and how much a household borrows?
What helps account for the widely noted increase in
consumer debt levels in the run-up to the financial crisis?
Finally, how has deleveraging progressed, and what
are the implications for consumption and the broader
economy?
One distinct feature of the deep
recession that started in late 2007 is
the unprecedented rise in household
borrowing leading up to the crisis.
Wenli Li is a
senior economic
advisor and
economist in
the Philadelphia
Fed’s Research
Department.
When this article
was written,
Susheela
Patwari was a research assistant in the
Philadelphia Fed’s Research Department.
This article is available free of charge at
www.philadelphiafed.org/research-anddata/publications/.
www.philadelphiafed.org

Since then, a historically large number
of household loans have become delinquent and residential houses have been
foreclosed. This situation, coupled
with households actively paying down
their debt or cutting down on new
borrowing, marked the beginning of
household deleveraging.
Recent theoretical and empirical
work by economists can shed light on
the process of leveraging and deleveraging and help provide answers to a

*The views expressed here are those of the
authors and do not necessarily represent
the views of the Federal Reserve Bank of
Philadelphia or the Federal Reserve System.

number of questions. What determines
when and how much a household
borrows? What helps account for the
widely noted increase in consumer debt
levels in the run-up to the financial
crisis? Finally, how has deleveraging
progressed, and what are the implications for consumption and the broad
aggregate economy?
A SIMPLE THEORY OF
HOUSEHOLD LEVERAGING
AND DELEVERAGING	
Borrowing over a Household’s
Lifetime. The single most important reason that a household borrows
is to smooth its consumption over
its lifetime. Households are generally perceived to be risk averse in the
sense that they prefer consumption
that is more or less stable over time to
consumption that is high in some years
(when household income turns out to
be high) and low in others.
While the risk-averse household
would prefer to consume a relatively
constant amount over its lifetime, its
income is anything but constant. The
life-cycle income profile of a typical
household is hump shaped. It starts
low when the household is young and
faces lower wages on average. As the
household ages and accumulates more
human capital through education and
work experience, its income increases
and peaks at around age 55. After that,
the average income declines as the
household retires or withdraws from
the labor force either because it has
accumulated enough assets or pension
or because household members suffer
from poor health. Consequently, for a
household to consume a constant level
that is consistent with its lifetime inBusiness Review Q3 2012 9

come, it needs to borrow when young.
A big fraction of household borrowing
takes the form of installment loans
such as student loans, car loans, and
mortgages as the household tries to
smooth large expenditures for education, cars, and houses.
In addition to these life-cycle considerations, households also borrow to
cover unexpected income or expenditure shocks such as unemployment
or sudden illness. Consider a family in
which the husband loses his job temporarily due to company restructuring.
During the job transition, the family,
instead of cutting its consumption to
match the reduced income, can maintain its previous consumption level by
borrowing on credit cards or taking
out home equity loans.
Besides consumption, households
also borrow for investment purposes.
Households may borrow to invest in
the stock market or housing market
by buying investment properties if
they believe that stock prices or house
prices will rise in the future.
Both Demand and Supply Factors Affect Household Borrowing. A
household’s demand for credit depends
on its own estimates of its lifetime
income, notably, the steepness of the
income profile — its income starts low
but rises fast in the first half of the life
cycle — as well as wealth and asset
prices. For example, a college-educated
household with a steep income profile
is likely to borrow more when members
are young, because they expect income
to rise significantly in the future. A
household with the expectation of a
sizable inheritance is also more likely
to borrow to boost consumption while
young. If households expect a sharp
run-up in certain asset prices — maybe
because asset prices have been rising
— they will have more incentives to
borrow to invest in those assets.
The volatility of household income, wealth, and asset prices also
affects borrowing. A household whose
10 Q3 2012 Business Review

members are employed in a highly cyclical industry — for example, the auto
industry — should typically borrow
less than one whose members are employed in a less cyclical industry such
as health care.
To see how volatility affects consumption, let’s look at a simple example. Consider a household that lives
for two periods facing an interest rate
of 0. That is, to borrow $1 in the first
period, it must promise to repay $1 in

rower’s risk of default and the amount
the lender will recover in the event
of default. A significant factor that
affects both funding costs and expected profits is whether the loan will
be securitized, that is, packaged with
other loans and sold, in part or in full,
to third parties. The funding costs of
the securitized loans are those of the
purchasers of the loans, rather than
the lender’s funding costs, and the
lender’s risk exposure is reduced when

A household’s demand for credit depends
on its own estimates of its lifetime income,
notably, the steepness of the income profile —
its income starts low but rises fast in the first
half of the life cycle — as well as wealth and
asset prices.
the second period. If the household’s
income is $10 in the first period and
$50 in the second period for sure, then
it will borrow $20 in the first period so
that it consumes $30 in both periods,
the consumption pattern preferred by
risk-averse households. But now assume
that the household’s second period
income is uncertain. That is, in the second period, the household receives $10
half of the time and $90 the other half
of the time. Though the average income for the second period is still $50,
in the first period, the household will
borrow less than $10. If it borrows any
amount over $10, in the second period,
with 50 percent probability, it won’t
even be able to repay the debt. Similarly, more volatile wealth and asset prices
also make households borrow less.
Lenders’ supply of credit depends
on their funding costs — for example,
a commercial bank funds itself with
some mixture of deposits and market
borrowings — and the expected profits
from household lending compared
with alternative investments. In turn,
expected profits depend on the bor-

the loan is sold to third parties. Lenders use information they gather from
credit bureaus, such as credit scores
that summarize borrowers’ payment
history, and statistical models to assess
and price the risk of default.
Households Must Adjust Their
Finances When the World Changes
in an Unexpected Way. This simple
model of household borrowing describes the household’s behavior when
its expectations about the future are
confirmed: For example, an autoworker is not surprised when the plant shuts
down for retooling. A bigger shock may
put more strain on the household’s
finances, but a rational household in
Detroit will choose its leverage knowing that household members will be
temporarily laid off when auto sales
drop during an economic downturn.
Households, however, do not
always have perfect foresight about all
future events. In other words, certain
things outside households’ expectations may occur. For example, households’ preference for housing may
change abruptly, a change that also
www.philadelphiafed.org

affects profits in the construction industry. Or lenders’ attitude toward risk
may change suddenly, which makes
borrowing more expensive.1 In these
cases, the household will be forced to
adjust its finances.
Following our previous example,
if the breadwinner of the family does
not find a job soon or finds a job with
a significant pay cut because the industry he or she worked for shrinks due to
unexpected demand shifts, the family
will not be able to continue to service
its existing debt unless it can borrow
more. Suppose further that the household has borrowed against its house
and that its mortgage obligation was
80 percent of the house value at the
time of the borrowing. If the house’s
value drops by 20 percent, the household’s home equity erodes completely.
In turn, refinancing will be impossible,
putting severe financial strain on the
household.
Given these drastic changes in
the household’s prospects, the household will have to reduce its debt, a
process commonly termed deleveraging.
Deleveraging can occur in two ways:
by households borrowing less and by
households defaulting on existing debt.
The choice of whether to borrow less
or to default is closely linked to households’ income and the value of their
assets.2
Apart from the household’s decision about how much debt it wishes
to carry, in light of lower expected in1
People have termed events like these “Wile
E. Coyote” moments. A recurrent event in the
Road Runner cartoons is the point at which
Wile E. Coyote looks down after having run
several steps off a cliff. According to the laws of
cartoon physics, it is only when he realizes that
nothing is supporting him that he falls.

Here we talk about default as if it is a unilateral decision by the household. Actually, a common pattern is that the household first becomes
delinquent on its debt payments. Whether or
not the household has some hope of becoming
current on the loan, the lender has some leeway
about whether to write off a delinquent loan as
uncollectible.
2

www.philadelphiafed.org

comes, low current income may simply
make it infeasible for households to
service their existing debt obligations.
This is especially true for unemployed
households with zero assets to sell or to
use as collateral for loans. Even if they
can make a loan payment, households
with low current and future incomes
may choose not to make the payment.
For example, when asset values, in particular, house values, fall — especially
when they are lower than the mortgage
outstanding — households may choose
to default. A low house value combined with low income and reduced
access to credit makes households even
more likely to default.
Using household-level data on
mortgage loans, Patrick Bajari and his
coauthors find that liquidity constraints (the inability to access credit)
are as important as declining house
prices in explaining the observed
increase in subprime defaults over the
past several years. Specifically, borrowers who are more likely to be liquidity
constrained, such as borrowers with
little or low loan documentation, low
FICO scores, or high payment-to-income ratios, are more likely to default
on their mortgages. Similarly, Ronel
Elul and coauthors find that both
negative home equity and illiquidity,
which they measure by how near a
household is to maxing out its credit
cards, are significantly associated with
mortgage default. Furthermore, the
two factors interact with each other;
the effect of illiquidity on default generally increases with high combined
loan-to-value ratios.
Both borrowers and lenders will
take into account the costs of default.
For a defaulting household these include the difficulty of accessing credit
in the future. For the lending bank,
these include the cost of writing down
nonperforming loans. When a bank
writes off a loan, its regulatory capital
declines; among other possibilities,
this may force the bank to reduce its

lending to meet regulatory capital
standards.
With this theory in mind, we can
now talk about the process by which
households first levered up so dramatically over the past two decades and
then discuss the ongoing process of
household deleveraging.
RECENT TRENDS IN
HOUSEHOLD BORROWING:
1980-2008
Household leverage has been
rising steadily starting in the early to
mid-1980s and was at historic levels
in the run-up to the crisis (Figure 1).
At its peak in 2008, households held
over $2.5 trillion in consumer debt and
close to $11 trillion in mortgages. Relative to disposable personal income —
total personal income minus total current personal taxes — consumer credit
reached an all-time high of 25 percent
in 2004 compared with an average of
21 percent between the first quarter of
1990 and the second quarter of 2010,
and mortgages climbed up to close to
100 percent at the end of 2007 compared with an average of 72 percent
between 1990 and 2010. Households
have also devoted an increasing share
of their disposable income to servicing the debt. Owing to the prolonged
low interest rates during much of the
1990s and 2000s, however, the rise in
the financial obligation ratio (FOR) —
the ratio of debt payment to disposable
income — is less dramatic.3
Both demand and supply factors
fueled the rapid growth in household
debt. The demand-side factors include
changes in household demographics
and income profiles. A rising income
profile, that is, an expectation of
higher future income, will certainly
lead households to borrow and consume more in the present. Household

3
The types of debt included in the FOR are
mortgage payments, credit cards, property taxes,
and lease payments.

Business Review Q3 2012 11

FIGURE 1
Household Leverage
a. Consumer Credit Outstanding

b. Mortgage Debt Outstanding

Billions of USD
2800

Billions of USD
12000

2400

10000

2000

8000
Total
1600

6000
1200

NonRevolving

4000

800

2000

400
Revolving
0

80

83

86

89

92 95 98
First Quarter

01

04

07

0

10

80

c. Ratio of Household Credit to Disposable Income
Percent
0.30

1.0

0.25

83

86

89

92 95 98
First Quarter

01

04

07

10

d. Household Financial Obligations Ratio

0.75

Percent
20

19
Mortgages
(Right scale)
18
0.50

0.20
All
Households
Consumer
Credit

17
0.25

0.15

16

0

0.10
80

83

86

89

92 95 98
First Quarter

01

04

07

10

15

80

83

86

89

92 95 98
First Quarter

01

04

07

10

Source: Federal Reserve Board Flow of Funds Account

demographics such as education and
age are important determinants of
their income profile.
In their 2007 article, Karen Dynan
and Donald Kohn discuss in detail
the roles of changes in households’
demographics in the rise of household
indebtedness. For instance, households
with a college or graduate degree generally have steeper life-cycle income paths
12 Q3 2012 Business Review

and therefore do more borrowing while
young (think of student loans). The
increase in the fraction of households
with at least some college education
would then push up debt accumulation.
Aside from actual changes in
household demographics and income
profiles, changes in household expectations of future income and price
movement will also enable households

to borrow more even if these expectations may not be entirely rational. For
instance, appreciation in house prices
might make households feel wealthier
than they actually are, even though
these are not realized gains. As a result, they might borrow too much. Li’s
2010 Business Review article with Fang
Yang discussed the increasing trend
of cash-out refinancing over the past
www.philadelphiafed.org

20 years. Alternatively, investors may
mistakenly extrapolate a run-up in
housing prices and take on too much
debt to finance speculative housing
investments. Andrew Haughwout
and coauthors documented that the
demand for mortgages by real estate
investors played an important role in
the recent housing boom.
Supply-side factors include low
interest rates, lax lending standards, a
proliferation of exotic mortgage products, and the growth of a global market
for securitized loans. An extended
period of low market interest rates
in the early 2000s led to lower funding costs for banks and, in turn, lower
mortgage rates. Financial innovations
such as credit scoring and securitization reduced the costs of screening
borrowers and funding loans. Other
financial innovations made it easier for
homeowners to borrow against their
home equity. New mortgage products
permitted borrowers to get around
their income constraint. For example,
the interest-only mortgage requires
borrowers to make only interest payments, thereby making the mortgage
payment more affordable during the
interest-only period for those with limited income. For the two-year period
preceding the financial crisis, Giovanni Dell’Ariccia and coauthors and Atif
Mian and Amir Sufi provide evidence
that the lack of transparency and lowered standards in markets for securitized loans helped to weaken underwriting standards and led to the surge
in household mortgage borrowing.4
HOUSEHOLD DELEVERAGING:
2008-2011
The filing and subsequent bankruptcy of Lehman Brothers, the fourth

largest investment bank in the U.S., in
September 2008 following the massive
exodus of most of its clients, drastic
losses in its stock, and devaluation
of its assets by credit rating agencies
marked the beginning of the unfolding of the late-2000s global financial
crisis. The U.S. economy went into a
deep recession. By the second quarter
of 2011, house prices had come down
by over 12 percent at the national level
relative to the peak reached in the
second quarter of 2006 and are back
to their 2004 level. The unemployment rate remained at 9 percent. The
median household income (inflation
adjusted) in 2010, at $49,445, slipped
to its 1996 level.

FIGURE 2
Household Deleveraging
a. Flow of Consumer Credit Outstanding Adjusted for Charge-Offs
Billions of USD
100
75

Changes in debt outstanding
adjusted for charge-offs

50
25
0

Changes in debt outstanding
-25
-50
85

88

www.philadelphiafed.org

91

94

97
First Quarter

00

03

06

09

b. Flow of Mortgage Debt Outstanding
Billions of USD
100
Changes in debt outstanding
adjusted for charge-offs

50
0
-50

Changes in debt outstanding
-100
-150
-200

Benjamin Keys and his coauthors find that a
decline in information production played an
important role in the increase of subprime mortgage securitization and the subsequent default
rates as securitization was most prominent in
no-doc subprime mortgages.
4

It is too soon yet to predict how
the economy will evolve following
this strong negative shock. But following the deep recession and three
years into what appears to be, at best,
a very sluggish recovery, households
have started the deleveraging process
(Figure 2). Aggregate consumer debt
and mortgage debt outstanding both
peaked in the third quarter of 2008.
By the second quarter of 2010, the aggregate consumer debt had declined
from $2.58 trillion to $2.42 trillion and
the aggregate mortgage debt outstanding had shrunk from $10.55 trillion to
$10.13 trillion, a total decline of over
$500 billion according to the Board
of Governors’ Flow of Funds account.

Q1

Q2

Q3
2008

Q4

Q1

Q2

Q3
2009

Q4

Q1

Q2
2010

Source: Federal Reserve Board Flow of Funds Account and Call Reports

Business Review Q3 2012 13

The ratios of consumer debt and
mortgage debt to disposable income
have also declined, to 21 percent and
89 percent, respectively, in the second
quarter of 2010.
Measuring Defaults and Paydowns. The household balance-sheet
deleveraging in the current cycle so far
has come from both defaults and loan
paydowns. These two different channels for deleveraging have different
effects. First, the two channels affect
lenders differently. Write-offs reduce
banks’ profits and capital and can lead
to tightened lending standards going
forward and therefore a slower recovery. Paydowns don’t have this effect,
although banks’ expected profits are
lowered because of the decline in loan
demand. Second, different methods of
deleveraging have different consumption implications. Reduced household
leverage that accompanies default
improves households’ financial position
and therefore can sustain consumption in the short run — an effect that
Ronel Elul called the financial decelerator in his 2008 paper.
Figure 2 provides evidence from
the Flow of Funds, which provides data
on aggregate borrowing and default.5
The black line is net household borrowing (gross household borrowing
minus debt repayment), while the
green line is net household borrowing,
excluding loans charged off by lenders.
The difference between the black and
the green lines represents the amount
of debt discharged by lenders. The declining green lines suggest that households are indeed borrowing less than
5
For consumer credit, we use the charge-off
rates obtained from the Call Reports. A bank
charges off a loan when it is deemed uncollectible; that is, the loan is in default and it will not
be repaid. In regard to mortgage debt, the Call
Reports also provide us with charge-off rates
for those loans held by commercial banks. The
charge-off rates for loans held by other institutions are provided to us by the Flow of Funds
section of the Board of Governors. We thank
James Kennedy at the Board of Governors for
providing us with these statistics.

14 Q3 2012 Business Review

before. The difference between the
two lines indicates that loans charged
off by lenders are also substantial. In
particular, consumer loans charged off
by banks have been much higher than
their historical levels. For mortgages,
quarterly charged-off loans have been
close to $50 billion for the past three
years. To summarize, according to the
aggregate data, between the second
quarter of 2008 and the second quarter
of 2010, about $265 billion in consumer debt and $441 billion in residential
mortgages were discharged by lenders.
An alternative data source provides more detailed information about
loan defaults and charge-offs by households. We use a 1 percent random sam-

ple of the Federal Reserve Bank of New
York’s (FRBNY) consumer credit panel
data.6 The FRBNY consumer credit
panel consists of credit report data for
a panel of individuals and households
from 1999 to 2009.7 The credit bureau
data show a trend similar to that of the
aggregate data in household deleveraging on both mortgages and consumer
credit as reported in Figure 3.
6
A sample is considered random if it has the
same distribution as the population it is drawn
from. Since the data set is very large, we can
use 1 percent of the observations and still get
precise estimates.
7
The credit reports are from Equifax, one of
the three largest consumer credit bureaus in the
U.S. All observations are quarterly.

FIGURE 3
Total Balance by Loan Type

Excluding Loans in Collection or Bankruptcy
a. Total Balance by Loan Type
Billions of USD
15000

Billions of USD
1000
Bankcard (left scale)
800

12000
Mortgage
(right scale)

600

9000

Auto finance (left scale)
400

6000

200

3000
Student loan (left scale)

0

0
99

00

01

02

03

04
05
06
First Quarter

07

08

09

10

b. Total Balance of Severely Derogatory Loans
Billions of USD
100

Billions of USD
400

80

320

60

240

Bankcard (left scale)
Mortgage
(right scale)

40

160

Auto finance (left scale)

20

80

Student loan (left scale)

0
99

00

01

02

03

04
05
06
First Quarter

07

08

09

0
10

Source: FRBNY Consumer Credit Panel

www.philadelphiafed.org

According to the credit bureau
data, total balances (excluding debt
charged off when households file for
bankruptcy) came down for bankcard
debt, auto loans, and mortgages from
their respective peaks, while student
loans merely leveled off. Relative to
their respective balances in the first
quarter of 2008, auto loans had the
biggest decline (19 percent), followed
by bankcard debt (13 percent) and
mortgages (8 percent). Student loans,
by contrast, had their first decline only
in the third quarter of 2010. It is worth
noting that unlike other loans, student
loans can be discharged in bankruptcy
only under very rare circumstances
such as extreme hardship (for example,

permanent disability).
We do not have the exact loan
amount that is forgiven under bankruptcy. However, judging from the
balance of severely derogatory loans —
loans that are in collection or chargeoffs — default is an important part of
household deleveraging in bankcards,
mortgages, and auto finance, but much
more so in bankcards and mortgages
(Figure 3, panel b).8 By the second
quarter of 2010, about $120 billion in
consumer debt (bankcard plus auto

In general, only part of the severely derogatory loans will end up in bankruptcy. There are,
however, cases in which borrowers have filed for
bankruptcy after being only 60 days delinquent

8

FIGURE 4
Household Deleveraging — Supply
a. Net Percentage of Banks Reporting Tightened Standards
Percent
80
60
Credit Cards
40
20
Mortgage
0
-20
Installment
-40
90

92

94

96

98

00
02
Third Quarter

04

06

08

10

b. Average Credit Limit and Credit Utilization Rates on Revolving
Accounts Within the Last Six Months
Percent
0.5

Thousands of USD
50
40

0.4

Credit limit (left scale)

30

0.3
Credit utilization rate
(right scale)

20

0.2

10

plus student loans) and $320 billion in
mortgages were severely derogatory.
Supply and demand both appear to be playing important roles in
households’ deleveraging so far (Figure
4). There was clear evidence of supply
constraints. Banks tightened lending
standards for all types of consumer
loans. Credit card approval rates also
declined across all spectrums of credit
scores. Average credit limits for revolving accounts have fallen since mid2008, after a run-up over the previous
five years. As a result, credit utilization rates went up. Consumer demand
for credit also weakened (Figure 5).
Banks have reported reduced consumer demand since the onset of the
crisis. Consumer inquiries for new
loans came down starting in the fourth
quarter of 2007. In the second quarter
of 2010, our last data point, inquiries
per consumer were at one per quarter
compared with about 1.5 prior to the
crisis. The number of new accounts
opened also decreased from 0.5 per
consumer per quarter, a number that
had prevailed through the previous
10 years, to about 0.3 as of the second
quarter of 2010.9
What’s Next? How much longer
household deleveraging is going to
last is the $64,000 question. Given
that housing debt still weighs heavily
on households, deleveraging crucially
depends on the recovery of the housing market (house-price appreciation).
Household income is another driving
force. Having said that, to the extent
that we believe that the early 2000s
(say, 2002) is what the long-run steady
state will look like, then judging from
the ratio of household credit to disposable income, American consumers are
already over halfway there.

0.1

on some of their debt.
0

0
99

00

01

02

03

04
05
06
First Quarter

07

08

Source: Senior Loan Officer Survey and FRBNY Consumer Credit Panel

www.philadelphiafed.org

09

10

9
Some of the changes in inquiries may reflect
supply effects. For example, customers may not
inquire if they believe that banks are unlikely to
grant a loan. This is just one of the difficulties
of disentangling supply effects from demand
effects.

Business Review Q3 2012 15

CONCLUSION
Until 2008, U.S. households were
accumulating debt at a rapid pace, allowing consumption growth to outstrip

that of income. The economic environment has since turned south, with
housing values dropping dramatically.
The sharp rise in unemployment rates

FIGURE 5
Household Deleveraging — Demand
a. Net Percentage of Banks Reporting Increased Demand
Percent
80

Mortgage

60
40
20
0
-20
Credit Card

-40
-60
-80
91

93

95

97

99
01
03
Fourth Quarter

05

07

09

b. Average Number of Inquiries and New Accounts During the
Last Six Months
Inquiries/Accounts
2.0
Inquiries

1.5
1.0

New Accounts
0.5
New Revolving Accounts
0
99

00

01

02

03

04
05
06
First Quarter

07

08

09

10

has also led to substantial reductions
in income. Default rates have gone
up. And households are also actively
tightening their belts by cutting down
on borrowing.
By understanding the factors
underlying household leverage, we can
gain insight into the factors underlying
the deleveraging process. Households
borrow to keep their consumption
more or less stable even though their
income fluctuates both with the age of
the household and with fluctuations
in the economy. When households
expect income and asset values to go
up as they did in the late 1990s to mid2000s, they increase their borrowing.
When these expectations do not pan
out, as in the current episode, their
high leverage puts them in a precarious
situation. Households have to adjust
both their assets and their consumption in order to be consistent with the
revised expectations about the future
growth of the economy. In the short
run, a default may allow a household
to forgo debt payments and shift funds
to consumption. In the longer run,
however, households will have to actively reduce their borrowing to a level
consistent with their income and asset
prospects. Only then will the economy
reach a sustainable path for future
growth. BR

Source: Senior Loan Officer Survey and FRBNY Consumer Credit Panel

16 Q3 2012 Business Review

www.philadelphiafed.org

REFERENCES
Bajari, Patrick, Sean Chu, and Minjung
Park. “An Empirical Model of Subprime
Mortgage Default from 2000-2007,” manuscript, University of Minnesota (2010).

Dynan, Karen E., and Donald L. Kohn.
“The Rise in U.S. Household Indebtedness: Causes and Consequences,” Finance
and Economics Discussion Series 2007-37.

Dell’Ariccia, Giovanni, Deniz Igan, and
Luc Laeven. “Credit Booms and Lending
Standards: Evidence from the Subprime
Mortgage Market,” IMF Working Paper
(2008).

Elul, Ronel. “Collateral, Credit History,
and the Financial Decelerator,” Journal of
Financial Intermediation, 17:1 (2008), pp.
63-88.

Dotsey, Michael, Fang Yang, and Wenli Li.
“Consumption and Time Use over the Life
Cycle,” Federal Reserve Bank of Philadelphia Working Paper 10-37 (November
2010).
Dynan, Karen E., Douglas W. Elmendorf,
and Daniel E. Sichel. “Can Financial
Innovation Help to Explain the Reduced
Volatility of Economic Activity?,”
Journal of Monetary Economics (2006), pp.
123-50.

www.philadelphiafed.org

Elul, Ronel. “Securitization and Mortgage
Default,” Federal Reserve Bank of Philadelphia Working Paper 09-21/R.
Elul, Ronel, Nicolas Souleles, Souphala
Chomsisengphet, Dennis Glennon, and
Bob Hunt. “What Triggers Mortgage Default?,” American Economic Review Papers
and Proceedings, 100(2) (2011), pp. 490-94.
Haughwout, Andrew, Donghoon Lee,
Joseph Tracy, and Wilbert van der Klaauw.
“Real Estate Investors, the Leverage Cycle
and the Housing Market Crisis,” manuscript, Federal Reserve Bank of New York
(2011).

Keys, Benjamin, Tanmoy K. Mukherjee,
Amit Seru, and Vikrant Vig. “Did Securitization Lead to Lax Screening? Evidence
from Subprime Loans,” Quarterly Journal of
Economics, 125 (2010), pp. 307-62.
Krueger, Dirk, and Fabrizio Perri. “Does
Income Inequality Lead to Consumption
Inequality? Evidence and Theory,” Review
of Economic Studies, 73:1 (2006), pp. 16393.
Li, Wenli, and Fang Yang. “American
Dream or American Obsession? The Economic Benefits and Costs of Homeownership,” Federal Reserve Bank of Philadelphia Business Review (Third Quarter 2010).
Mian, Atif, and Amir Sufi. “The Consequences of Mortgage Credit Expansion:
Evidence from the U.S. Mortgage Default
Crisis,” Quarterly Journal of Economics,
124:4 (2009), pp. 1449-96.

Business Review Q3 2012 17

Geography, History, Economies of Density,
and the Location of Cities*

E

by Jeffrey Lin

conomists believe that people choose to
live and work at sites that have productive
or amenity value such as a river, harbor, or
some other natural resource. Another factor
that may determine the location of a city is the benefits
derived from density itself: agglomeration economies.
Although these complementary explanations both have
something useful to say about the locations and sizes
of cities, they also have important limitations. While
natural features seem important, it is difficult to point to
one or even several that are valuable enough to explain
a very large metropolitan area. And if there are large
economies of density, then any location could be the
potential site for a city, since density itself provides a
reason for further concentration. If you were to replay
the settlement of some large expanse of land, perhaps
cities in this alternative history would be of different
sizes and locations. This “path dependence” or “history
dependence” is a potentially important theoretical
implication of models featuring economies of density.
In this article, Jeff Lin helps shed light on why cities are
located where they are.
What determines the location of
cities? Sometimes, we can clearly identify instances when city locations were

Jeff Lin is a
senior economist
in the Research
Department of
the Philadelphia
Fed. This article
is available
free of charge
at www.
philadelphiafed.org/research-and-data/
publications/.
18 Q3 2012 Business Review

chosen to achieve specific development
or political goals, in remote or sparsely
populated areas. For example, the site
of Canberra, Australia’s capital city,
was selected in the early 20th century
as a compromise between rival cities
Sydney and Melbourne. For many older cities, we can make only educated
guesses about their origins. In general,
economists believe that people choose
*The views expressed here are those of the author and do not necessarily represent the views
of the Federal Reserve Bank of Philadelphia or
the Federal Reserve System.

to concentrate at sites that have some
productive or amenity value. A river, a
harbor, or some other natural resource
nearby might encourage settlement.
There is also the role of local institutions — for example, well-defined
property rights — that might make
some places more attractive. If these
kinds of local features aren’t available
everywhere, economic activity will be
attracted to locations that are superior
in resources and institutions.
Another factor that may determine the location of cities is the
benefits derived from density itself —
so-called agglomeration economies.
Living or working in close proximity to
businesses or other people can make
workers more productive. For example,
similar businesses might cluster together in order to have access to cheaper
specialized inputs. Jerry Carlino’s 2001
and 2009 Business Review articles and
my own from 2011 discuss several potential sources of these agglomeration
economies. (Of course, the effect of agglomeration economies on the location
of cities does not preclude the influence of natural amenities.)
These complementary explanations both have something useful to
say about the locations and relative
sizes of cities. Of course, great agglomerations today are located near rivers,
oceans, or other prominent features
of the natural landscape. And many
people who live in densely populated
areas experience clear benefits from
proximity to customers, employers, and
producers.
What is perhaps less clear is how
to judge the contributions of locational “fundamentals” and agglomeration economies — or more generally,
www.philadelphiafed.org

economies of density — independently.
Note that both natural fundamentals
and economies of density have important limitations as stories for understanding the geographic distribution
of economic activity. While natural
features seem important, it is difficult
to point to one or even several natural
features that are valuable enough to
explain a very large metropolitan area.
For example, in Philadelphia, is proximity to the Delaware and Schuylkill
rivers alone really so valuable as to
encourage millions of people to crowd
together on their banks? Similarly, on
their own, stories featuring economies
of density are also limited. If there are
large economies of density, people will
want to locate near existing concentrations of population, but these stories
are silent on how a city comes to be in
a particular location in the first place.
Why is the greatest agglomeration in
the Third Federal Reserve District1
near the confluence of the Delaware
and Schuylkill rivers and not, say,
further upstream on the Schuylkill or
closer to the Atlantic Ocean?
Furthermore, if there really are
large economies of density — that is,
density itself provides incentive for
people to concentrate, in a virtuous
circle — it’s possible that any location
could be the potential site for a city.
All that is required for a large agglomeration is a smaller agglomeration or,
in a sense, a city “seed.” Intuitively, if
you were to rewind history and replay
the settlement of some large expanse
of land, perhaps cities in this alternative history would be of different sizes
and locations. Economists sometimes
call this “path dependence” or “history
dependence” — that is, present-day or
long-run outcomes can depend on a
series of historical events or shocks —
and it is a potentially important, and

unique, theoretical implication of models featuring economies of density.
EVIDENCE ON GEOGRAPHY
FROM WAR AND DISEASE
In two papers, economists Donald
Davis and David Weinstein reported
a historical example paralleling this
thought experiment. They analyzed
settlement patterns in Japan before
and after widespread Allied bombings
during World War II. They interpreted
these devastating bombings, and the
resulting destruction of homes, capital,
and lives, as akin to “starting history
over” — many new location decisions
were to be made in the vastly changed
human geography of postwar Japan.
However, contrary to their expectations, they found that the locations
and relative sizes of Japanese cities remained unchanged from the prewar period — even Hiroshima and Nagasaki
returned to their prewar growth trends

within 20 years (Figure 1). Similarly,
a 2006 working paper by economists
Patricia Beeson and Werner Troesken
found that epidemics of yellow fever in
Philadelphia in the 17th and 18th centuries had no long-run effects. Despite
severe epidemics in 1699, 1792–1793,
and 1797–1799, each of which killed
about 8 to 10 percent of the city’s population, Philadelphia, after each episode,
returned quickly to its preexisting
population growth trend.2
The tendency for Japanese cities
to quickly revert to preexisting trends
suggests that there was very little history dependence following the shocks
of World War II. Otherwise, Davis and

2
Papers by Steven Brakman, Harry Garretsen, and Marc Schramm; Paul F. Paskoff; and
Edward Miguel and Gérard Roland show similar
results for cities following war-related destruction in Germany after World War II, the U.S.
South after the Civil War, and Vietnam after
the Vietnam War.

FIGURE 1
Populations of Hiroshima and Nagasaki
Returned to Trend Growth Quickly
Log of Populaton
13.8
Hiroshima
Nagasaki
13.6
13.4
1925 - 1940 Hiroshima Trend
13.2
13.0
12.8
1925 - 1940 Nagasaki Trend

12.6
12.4
12.2

1925 1930 1935 1940 1947 1950 1955 1960 1965 1970 1975
Year*

* Data for 1945 were unavailable, so the authors used data for 1947.
1
The Third District covers eastern Pennsylvania, southern New Jersey, and Delaware.

www.philadelphiafed.org

Source: Davis and Weinstein (2002), used with permission

Business Review Q3 2012 19

Weinstein might have found different
patterns of concentration in postwar
Japan; perhaps cities that had experienced relatively less destruction would
have grown faster. Instead, the authors’
preferred interpretation was that natural features are probably very important for understanding the locations
and sizes of cities, with economies
of density perhaps playing a secondary role. Their research left open an
important question: If economies of
density really do play an important role
in determining location patterns, why
didn’t they observe any changes in the
geographic distribution of activities
following the massive destruction of
World War II?
INTEGRATING EXPLANATIONS
BASED ON NATURAL
FEATURES AND ECONOMIES
OF DEnsItY
A satisfying understanding of the
locations and sizes of cities probably
includes both economies of density
and natural features. However, finding
evidence on the relative contributions
of locational fundamentals and economies of density can be challenging.
First, there are many natural features
(e.g., rivers, forests, minerals, climate,
etc.), and we may not have been able
to include the value of all of these features. This leads to an “unobservable
variables” problem: Although there
may be a preferred explanation for a
particular agglomeration, there lurks
the possibility that some unobserved
factor is the true reason for concentration at that site.
Furthermore, the natural features
that first attracted people and businesses to a location very often continue to have value, even today. Consider
long-lasting features like access to an
ocean port or nice weather. These
things continue to attract economic
activity to particular locations to
the present day and provide value to
households who live there. Their con20 Q3 2012 Business Review

tinued value can confound attempts to
attribute today’s spatial distribution of
population to economies of density.
In a previous Business Review
article, Satyajit Chatterjee discussed
one way to better understand the
relative roles of natural features and
agglomeration economies. His strategy
was to construct an economic model

have also explored these issues in two
papers. They examined the effects of
Germany’s division and reunification
on its economic geography. In their
2011 paper, Redding, Sturm, and Wolf
found that the division of Germany
led to a shift in the location of air hub
traffic from Berlin, where it had been
concentrated, to Frankfurt. Following

A satisfying understanding of the locations
and sizes of cities probably includes both
economies of density and natural features.
However, finding evidence on the relative
contributions of locational fundamentals and
economies of density can be challenging.
that included both natural features and
agglomeration economies. Then, he
used this model to match the observed
distribution of employment across U.S.
counties and metropolitan areas. This
exercise implied certain values for
key parameters of the model. Having
matched the actual geographic distribution of employment with this model,
he then simulated a counterfactual
geographic distribution of employment
without agglomeration economies; that
is, he assumed that the benefits to density were zero, but the other parameters
were the same as before. Chatterjee
found that, in the simulated economy,
the distribution of economic activity
without agglomeration economies was
very similar to the observed distribution. His work supports the idea that
some factor besides agglomeration
economies is important for understanding the distribution of economic
activity, although his method is silent
on what the factor or factors might be.
EVIDENCE ON HISTORY
DEPENDENCE AND INDUSTRY
LOCATION FROM GERMANY
Economists Stephen Redding,
Daniel Sturm, and Nikolaus Wolf

reunification, they found no evidence
of a shift back to Berlin. They interpreted this evidence in the following
way: The division of Germany after
World War II made continued hub
operations in Berlin less profitable
because that city became more isolated
relative to other cities in the new West
Germany. Frankfurt became relatively
more attractive and subsequently became the preeminent air hub. Finally,
reunification made Berlin less isolated
and therefore a more attractive location for hub activities relative to its
Cold War value. However, the authors
found no evidence of a return of air
traffic to Berlin; in fact, hub traffic
continued to rise in Frankfurt and
decline in Berlin following reunification. Thus, a historical shock had a
permanent effect on the distribution of
economic activity.
The authors interpreted this
as evidence of history dependence.
While these facts suggest the importance of economies of density (versus
natural fundamentals), there remains
the possibility that the division of
Germany also created some unobservable, persistent change in the attractiveness of Berlin (or Frankfurt) as a
www.philadelphiafed.org

hub, so that following reunification,
Berlin’s value was not high enough to
serve as a viable hub, no matter what
the alternative historical sequence of
events. (Alternatively, perhaps some
event after German division greatly
increased Frankfurt’s value as an air
traffic hub.) Much of Redding, Sturm,
and Wolf’s paper focuses on ruling out
changes in locational fundamentals.
In fact, probably the strongest case for
history dependence (and against this
criticism) is that hub traffic has not
returned to Berlin, despite its being by
far the largest city in Germany. Still,
there is some ambiguity to interpreting
these facts.

3
See p. 11 of the book by Thomas Scharf and
Thompson Westcott.
4
See the article by John Reps, p. 29, emphasis
mine.

Selected Historical Fall-Line Portages
in the Third District

e
ar
w
la
De
r
ve

Ri

TRENTON
Schuy

lkill R

iver

PHILADELPHIA

e
in

w
k

ee
Cr

a
tin
ris

Ch
r
ve
Ri

www.philadelphiafed.org

and Wilmington.
For example, the Schuylkill River
was a major water transportation
route in early America, and the falls
of the Schuylkill (near the present-day
section of East Falls in Philadelphia)
first attracted Delaware and Iroquois
Indian activity prior to European
settlement.3 (Later, William Penn
directed his surveyors to find a site on
the Delaware River where it was “most
navigable, high, dry, and healthy; that
is, where most ships may best ride, of
deepest draught of water, if possible to
load or unload at the bank or key side,
without boating or lightering of it. It
would do well if the river coming into that
creek be navigable, at least for boats, up
into the country.”4 Thus, a key feature

FIGURE 2

dy
an
Br

EVIDENCE ON HISTORY
DEPENDENCE FROM PORTAGE
SITES IN THE U.S.
Having better knowledge about
some fundamental natural feature that
affected economic geography and the
change in its value over time might
provide better evidence of history
dependence. In addition, perhaps it
would be interesting to examine population in general, rather than a specific
(but interesting) industry like airline
services. In a recent working paper,
Hoyt Bleakley and I attempt to provide
this kind of evidence. We examine
historic portage sites in the U.S. South,
Mid-Atlantic, and Midwest.
Portage is the carrying of a boat or
its cargo over land between navigable
waterways or to avoid a navigational
obstacle such as rapids or falls. Portages are the places where this activity
occurs. During the settlement of North
America, when long-distance shipping
was mostly waterborne, portages were a
focal point for commerce. Traders were
obliged to stop because of the natural
obstacle to navigation; in turn, these
sites offered easy opportunities for
exchange and commerce. While these
opportunities were valued historically, they became obsolete long ago.
Thanks to changes in transportation

technology (e.g., railroads, trucks),
traders no longer walk canoes around
rapids. Similarly, some falls were
sources of waterpower during early
industrialization, and these advantages
also declined with the advent of other,
cheaper power sources. (Electrification, by allowing for transmission of
power over long distances, uncoupled
the location of manufacturing from the
location of power generation.) Notably, despite the obsolescence of canoe
transport and water wheels, concentrations of economic activity continue to
exist at many of these sites.
Historical Portages and the
Economic Geography of the Third
District. Historical portage sites affected the economic geography of the
Third District in early America and
continue to do so even today (selected
historical portages are shown in Figure
2 as green points). Several places in the
Third District are portage-descended
cities, including Trenton, Philadelphia,

WILMINGTON

Background is nighttime lights layer from National Geophysical Data Center (2003); Version 2
DMSP-OLS Nighttime Lights Series, Boulder, CO; http://www.ngdc/noaa.gov/. DMSP data collected by U.S. Air Force Weather Agency.

Business Review Q3 2012 21

that Penn sought for his city, Philadelphia, was access to and trade with
the interior of Pennsylvania. Penn’s
commission set out for Pennsylvania in
the early summer of 1682 with these instructions for finding a suitable site for
Philadelphia. There is some evidence
that the commission initially selected a
more southerly site in present-day Chester County.5 It’s plausible that recognizing the value of better navigation and
waterpower along the Schuylkill, Penn’s
surveyors rejected the Chester County
site in favor of the present-day site near
the falls of the Schuylkill River.
Swedish, Dutch, and later English
settlers took advantage of both the
trading opportunities and waterpower
at the falls of the Schuylkill. Farmers
used the Schuylkill to transport goods
and exchange grew near the falls. In
1706, farmers in Lower Merion asked
for a road to the landing place just below the falls to better facilitate trade.6
As early as 1686, water mills were
erected to take advantage of the falls.7
And Donald Davis, who owned a mill
near the falls, said in 1749 that the
site of the falls was “very convenient
for water carriage, both for bringing
loads to the mill, and rafting timber
to Philadelphia, it being by the river
Schuylkill.”8 Thus, early Philadelphia
benefitted from its location near the
falls of the Schuylkill and was able to
attract both commerce and industry.
The site of present-day Trenton
is at the falls of the Delaware River
and its head of navigation, that is, the
point at which navigation is no longer
possible. It was inhabited by the Sanhican tribe of the Lenape Indian nation
as early as 1400. The first Europeans

settled there in 1679. William Trent, a
Philadelphia merchant, recognized the
value of the falls and bought 800 acres
near them; he then began developing the area, including a stone mill.
“Trent’s energy and financial backing
launched the settlement, which he
called Trent’s Town, into a period of
steady growth. Its position at the head
of sloop navigation made the town
a shipping point for grain and other
products of the area, and a depot for
merchandise between New York and
Philadelphia.”9
The first permanent European
settlement in Delaware — by Swedes
in 1638 — was near the confluence of
the Delaware and Christina rivers and
the falls of the Brandywine Creek, the
present-day site of Wilmington. The
falls of the Brandywine and several
smaller nearby rivers provided waterpower for early mills and attracted
industrial activity. The first mill on the
Brandywine opened in 1687. By the
1790s, the flour mills near Wilmington
and the falls of the Brandywine were
the largest in the U.S.10
THE PERSISTENCE OF
PORTAGE CITIES AFTER THE
OBSOLESCENCE OF PORTAGE
Of course, in our District many
portage cities are close enough to the
ocean to continue to serve as port
cities. In that sense, some natural advantage survives to this day. However,
the Schuylkill, Christina, and Brandywine rivers serve little commercial
traffic today. Similarly, the waterpower
produced at these falls today is negligible, compared with power from other
sources.
In my study with Hoyt Bleakley,
we consider many other portage sites
where the disappearance of the origi-

5

See p. 594 in the book by Samuel Hazard.

6

See the article by Charles Barker, p. 345.

7

See the article by Edwin Iwanicki, p. 326.

9

8

See Barker, p. 345.

10

22 Q3 2012 Business Review

See the Federal Writers’ Project, p. 400.
See the book by John Munroe, p. 58.

nal advantages is even clearer. In spite
of the obsolescence of these original
natural advantages, these portage sites
are often still the location of major
agglomerations today. In our study, we
pay particular attention to rivers that
intersect the fall line, a geomorphological feature dividing the Piedmont
and the coastal plain. The fall line
describes the last set of falls or rapids
found along a river before it empties
into the Atlantic Ocean or the Gulf of
Mexico. Many historical portages, at
intersections between the fall line and
major rivers, are sites of major cities
today (Figure 3).
An advantage of examining
fall-line portages is that nearby locations are often very similar, in terms
of other natural advantages. On land,
the transition from the coastal plain
to the Piedmont is quite gradual. This
smoothness allows us to use comparison areas — places along the same
river — that, except for an initial portage advantage, share features similar
to these historical portage sites. For
example, we can compare Philadelphia with other locations along the
Schuylkill. This similarity also helps to
rule out the existence of features co-located with portage that might continue
to have value today. We also control for
other observable differences, such as topography and climate. Thus, the main
comparison is between sites that seem
nearly identical except for the initial difference in value due to portage.
We found that not only are
present-day populations concentrated
at portage sites (relative to similar locations), these differences have shown
no tendency to diminish over a long
period of time — over a century after
portage-related advantages became
obsolete. Figure 4 shows the difference
between population densities at portage sites and comparison sites for each
decade relative to 1850. We also control for other observable differences.
What the graph shows is that the difwww.philadelphiafed.org

ferences in density have actually gotten
larger over time. (In a separate analysis, we also compared portage cities to
other cities of comparable density in
1850. There is no tendency for portage
cities to decline relative to these cities
as portage’s value declined.)
Thus, even though initial differences in value due to portage have
declined to zero, there is no tendency

for populations to equalize across these
comparison locations. If fundamentals were the only force that mattered,
we would expect, over the long run,
that these differences would attenuate
toward zero. However, the evidence
suggests otherwise. Thus, a historical
difference, now obsolete, strongly and
permanently affected the pattern of
development across a wide swath of the

FIGURE 3
Fall Line, Rivers, and Population Density Today

Source: Adapted from Bleakley and Lin, Figure A.1

FIGURE 4
Population Density Differences Over Time,
Portage vs. Nonportage Sites
Effect (relative to 1850) of portage proximity
.5

U.S. We view this as strong evidence
for path dependence in the location of
economic activity.11
So why didn’t Davis and Weinstein find permanent responses to the
bombings of World War II in their
study of Japan? A comparison with
the studies of Germany and the fall
line in the U.S. suggests a few hypotheses. Perhaps the magnitude of
the shock associated with the Allied
bombings of Japan was transitory, that
is, not “large” enough to have permanent effects. Roads, lot divisions, and
many other forms of capital survived
the bombings and may have provided
anchors for redevelopment. Also, the
division of Germany lasted a halfcentury and, at the time, was likely to
have been perceived as permanent or
near permanent. Similarly, many portage sites in the U.S. were in active use
and provided value for many decades
or even a century or more. A plausible explanation is that these latter
two episodes were larger shocks to the
economic geography of the respective
regions, which accounts for the difference in results.
Another possibility relates to the
large amount of geographic variation
in Japan. Japan’s islands contain rugged mountainous areas and a few flat
coastal plains. These large differences
can actually suppress the effects of
history. Intuitively, if only a few locations in a larger region are suitable for
economic activity, it seems likely that,
no matter the sequence of historical events, people would continue to

.4

If we were to replay the history of the U.S., it
seems likely that a similar sequence of location
decisions might have taken place near fall-line
portages, given the existence of these physical
obstacles to water navigation. However, a broader definition of path dependence, in which the
location of economic activity depends on the
past sequence of events and not necessarily locational fundamentals, seems applicable to the
history of portage cities. In this view, portages
are like accidents of geography that affected the
historical location of population, which, in turn,
affected the location of cities today.
11

.3
.2
.1
0
-.1
1800

1850

1900
Year

Source: Adapted from Bleakley and Lin, Figure 5
www.philadelphiafed.org

1950

2000

Business Review Q3 2012 23

settle in the same places. By analogy,
as a thought experiment, if we were to
replay the history of settlement in California (a very heterogeneous region),
it seems likely that in our alternative
history, the views of the Pacific coast,
the harbors in San Francisco and San
Diego, the soil quality in the Central
Valley, and the sunshine in the Los
Angeles basin would result in similar
kinds of economic activity locating in
similar places.
In contrast, in our study of portages, we are examining an area of the
world that is relatively homogeneous:

The U.S. South, Midwest, and MidAtlantic are all relatively featureless
plains, or, at least, the terrain and other natural features change slowly over
space. Compared with Japan, a sample
area that minimizes changes in natural
features seems like a more ideal laboratory for testing for the presence of path
dependence in the location of cities.
Recent research in economic
geography suggests that, in different contexts, geography, history, and
economies of density can each be
major contributors to the distribution
of economic activity. If geography mat-

ters a lot, as in Japan, then history and
economies of density are unlikely to be
major explanations for the distribution
of people and businesses. If economies
of density are strong, as with airport
hub activities, then perhaps geographic
fundamentals matter little and historical chance plays a larger role. And if
geographical variation means little, as
in the U.S. South and Midwest, then
history seems to play a large and persistent role in determining the location
of economic activity. BR

Davis, D., and D. Weinstein. “Bones,
Bombs, and Break Points: The Geography
of Economic Activity,” American Economic
Review, 92:5 (2002), pp. 1269-89.

Miguel, Edward, and Gérard Roland. “The
Long-Run Impact of Bombing Vietnam,”
Journal of Development Economics, 96
(2011), pp. 1-15.

Davis, D., and D. Weinstein. “A Search
for Multiple Equilibria in Urban Industrial
Structure,” Journal of Regional Science, 48:1
(2008), pp. 29-65.

Munroe, John A. History of Delaware.
Newark, DE: University of Delaware Press
(1979).

REFERENCES
Barker, Charles R. “The Stony Part of the
Schuylkill,” Pennsylvania Magazine of History and Biography, 50:4 (1926), pp. 344-66.
Beeson, Patricia E., and Werner Troesken.
“When Bioterrorism Was No Big Deal,”
NBER Working Paper 12636 (2006).
Bleakley, Hoyt, and Jeffrey Lin. “Portage:
Path Dependence and Increasing Returns
in U.S. History,” Quarterly Journal of Economics, 127:2 (2012), pp. 587-644.
Brakman, Steven, Harry Garretsen, and
Marc Schramm. “The Strategic Bombing
of German Cities During World War II
and Its Impact on City Growth,” Journal of
Economic Geography, 4 (2004), pp. 201-18.
Carlino, Gerald. “Knowledge Spillovers:
Cities’ Role in the New Economy,” Federal
Reserve Bank of Philadelphia Business Review (Fourth Quarter 2001), pp. 17-26.
Carlino, Gerald. “Beautiful City,” Federal
Reserve Bank of Philadelphia Business Review (Third Quarter 2009), pp. 10-17.
Chatterjee, Satyajit. “Agglomeration Economies: The Spark That Ignites a City?,”
Federal Reserve Bank of Philadelphia
Business Review (Third Quarter 2003), pp.
6-13.

24 Q3 2012 Business Review

Federal Writers’ Project of the Works
Progress Administration for the State of
New Jersey. New Jersey: A Guide to Its Present and Past. New York: Hastings House
(1939).
Hazard, Samuel. Annals of Pennsylvania:
From the Discovery of the Delaware 16091682. Philadelphia: Hazard and Mitchell
(1850).
Iwanicki, Edwin. “The Village of Falls of
Schuylkill,” Pennsylvania Magazine of History and Biography, 92:3 (1967), pp. 326-41.
Lin, Jeffrey. “Urban Productivity Advantages from Job Search and Matching,” Federal Reserve Bank of Philadelphia Business
Review (First Quarter 2011), pp. 9-16.
Lurie, Maxine N., and Marc Mappen. Encyclopedia of New Jersey. New Brunswick,
NJ: Rutgers University Press (2004).

Paskoff, Paul F. “Measures of War: A
Quantitative Examination of the Civil
War’s Destructiveness in the Confederacy,”
Civil War History, 54:1 (2008), pp. 35-62.
Redding, S.J., and D. Sturm. “The Costs
of Remoteness: Evidence from German
Division and Reunification,” American
Economic Review, 98:5, (2008), pp. 1766-97.
Redding, S.J., D.M. Sturm, and N. Wolf.
“History and Industry Location: Evidence
from German Airports,” Review of Economics and Statistics, 93:3 (August 2011), pp.
814-31.
Reps, John W. “William Penn and the
Planning of Philadelphia,” Town Planning
Review 27:1 (1956), pp. 27-39.
Scharf, J. Thomas, and Thompson
Westcott. History of Philadelphia: 16091884. Philadelphia: L.H. Everts & Co
(1884).

www.philadelphiafed.org

	

Changes in the Use of Electronic
Means of Payment: 1995-2010

An Update Using the Recently Released 2010
Survey of Consumer Finances*
	

T

Loretta J. Mester

his article updates the information published
in an article by Loretta Mester in the March/
April 2000 Business Review and last updated
in the Third Quarter 2009 issue.

In “The Changing Nature of the
Payments System: Should New Players
Mean New Rules?” (Business Review,
Federal Reserve Bank of Philadelphia,
March/April 2000), I presented some
data from the 1995 Federal Reserve
Survey of Consumer Finances on the
use of electronic banking. This survey
of more than 4,000 households, which
is designed to be representative of all
households in the U.S., is redone every
three years.1 The Federal Reserve
recently released the results from the
2010 survey. Attached are updates of
the statistics indicating how the usages
of various means of electronic payment
have changed between 1995 and 2010.
1
In 2010, more than 6,000 families were
surveyed. For more information on the survey,
see Jesse Bricker, et al., “Changes in U.S. Family
Finances from 2007 to 2010: Evidence from the
Survey of Consumer Finances,” Federal Reserve
Bulletin, 98 (June 2012), available at http://www.
federalreserve.gov/pubs/bulletin/2012/pdf/scf12.
pdf.

Loretta Mester
is an executive
vice president
and the director
of research at
the Philadelphia
Fed. This article
is available free
of charge at
www.philadelphiafed.org/research-anddata/publications/.
www.philadelphiafed.org

As seen in Exhibit 1 and in
the accompanying charts, usage of
electronic forms of payment, including ATMs, debit cards, automatic bill
paying, and smart cards, has risen from
about 78 percent of households in 1995
to almost 94 percent of households
in 2010. Debit card use, which about
doubled between 1995 and 1998, has
been steadily increasing (although at a
slower pace) since then and now stands
at over 78 percent of all households.
Increases were seen in all categories by
age, income, and education. In 2010,
there was a particularly strong increase
in debit card usage by those over 60
years old and those in the low-income
group.
Use of direct deposit increased
modestly except for those in the lowincome group, where there was a slight
decline, and for those with a college
degree, where there was essentially no
change. In contrast to the 2007 survey
in which it declined, automatic bill
paying grew modestly across all categories in 2010, and the percentage of
households now using it is more than
double what it was in 1995. Over 80

* The views expressed here are those of the
author and do not necessarily reflect the views
of the Federal Reserve Bank of Philadelphia or
the Federal Reserve System.

percent of households have an ATM
card, with the largest growth in 2010
seen in the low-income group. There
was little change in the percentage of
households that use some type of computer software to manage their money:
The percentage stood about 18 percent
in 2010. Respondents under 60 years
old, those with higher income, and
those with college degrees are more
likely to use a computer for money
management. 	
As seen in Exhibit 2 and the accompanying charts, in 2010, while
households that do business with at
least one financial institution continued to increase usage of automated
methods of conducting this business,
85 percent of households continued to
report that one of the main ways they
deal with at least one of their financial institutions is in person. In the
2007 survey there had been a sizable
increase in the percentage of households that use the telephone as one of
the main ways of conducting business
with at least one of their financial
institutions; this percentage remained
at over 60 percent in the 2010 survey.
Although not shown in the table, there
was little change in either voice or
touchtone usage.
Overall use of electronic means of
doing business — either ATM, phone,
fax, direct deposit and payment, other
electronic transfer, and/or computer —
continued to increase between 2007
and 2010. In 2010, nearly 95 percent
of households used an electronic
method as one of their main ways of
conducting business, and differences
Business Review Q3 2012 25

by income, education, and age continued to become less pronounced. However, differences in the popularity of
ATM/debit card usage across age groups
remain: Almost 90 percent of those
under 30 years old use ATM/debit cards
as one of their main ways of conducting business, while around 60 percent of
those over 60 years old use them. Still,
this was a 10-percentage-point increase
in usage by those over 60 since 2007,

26 Q3 2012 Business Review

and that share has almost quadrupled
since 1995.
As was true in 2007, the largest growth in 2010 was seen in the
percentage of households that use a
computer, the Internet, or an online
service as a main way to do business.
In 2010, over 60 percent of households
used these as a main method to conduct business, up from around 50 percent in 2007 and less than 4 percent in

1995. Youth, high income, and a college degree continue to be associated
with a higher incidence of computer
banking. While the computer remains
a less popular means of doing business
with financial institutions compared
with some other methods, its popularity has caught up to that of using the
phone and is now exceeding use of the
mail, which saw the largest decline in
2010, to about 52 percent.

www.philadelphiafed.org

www.philadelphiafed.org

Exhibit 1, Part 1
Percent of U.S. Households That Use Each Instrument: Survey of Consumer Finances, 1995, 1998,
2001, 2004, 2007, and 2010a
ATMb

Debit Card

1995

1998

2001

2004

2007

2010

1995

1998

2001

1995

1998

2001

2004

62.5%

67.4%

69.8%

74.4%

79.7%

83.4%

17.6%

33.8%

47.0% 59.3% 67.0% 78.4% 46.7%

60.5%

67.3%

71.2% 74.9% 75.9%

Under 30 years old

72.3%

75.6%

78.1%

83.0%

84.8%

88.7%

24.4%

45.0%

60.6% 74.4% 78.3% 88.5% 31.0%

45.2%

48.8%

54.0% 61.3% 63.2%

Between 30 and 60 years old

68.6%

76.1%

76.8%

82.3%

85.9%

88.4%

19.7%

38.6%

53.4% 67.6% 74.9% 84.1% 42.8%

58.0% 64.8%

68.2% 72.6% 73.4%

Over 60 years old

44.2%

41.9%

48.9%

51.6%

63.5%

70.6%

9.6%

16.0%

24.6% 32.5% 43.9% 62.3% 63.3%

74.8%

83.2%

87.0% 86.4% 86.7%

Low income

38.5%

45.9%

46.8%

53.0%

58.8%

67.5%

7.0%

19.7%

29.2% 41.2% 48.1% 64.5% 32.5%

44.3%

51.9%

54.8% 60.5% 58.7%

Moderate income

61.5%

64.4%

67.4%

73.4%

78.5%

82.4%

16.0%

31.6%

46.3% 57.4% 68.0% 78.3% 42.9%

58.8%

63.1%

64.0% 68.5% 72.3%

Middle income

70.9%

72.0%

75.2%

78.3%

87.5%

87.4%

20.5%

36.6%

50.0% 64.3% 75.0% 83.5% 48.3%

66.1%

65.7%

73.2% 76.8% 79.8%

Upper income

77.2%

82.3%

83.7%

86.5%

91.0%

93.2%

25.1%

43.8%

57.8% 69.3% 75.8% 86.0% 58.3%

70.4%

80.2%

83.6% 86.6% 88.2%

No college degree

54.7%

60.1%

63.7%

67.4%

74.0%

78.1%

14.3%

29.2%

42.3% 54.9% 63.7% 75.0% 40.3%

54.4%

61.8%

64.3% 68.9% 70.4%

College degree

80.4%

82.1%

81.6%

86.4%

90.3%

92.3%

25.2%

43.1%

56.2% 67.0% 72.9% 84.2% 61.0%

72.6%

78.0%

83.2% 85.9% 85.2%

All Households

2004

Direct Deposit
2007

2010

2007 2010

By Age

By Incomec

By Education

Business Review Q3 2012 27

a
The percentages reported are based on the population-weighted figures using the revised Kennickell-Woodburn consistent weights for each year. (For further discussion see the Survey of Consumer Finances
code books at http://www.federalreserve.gov/econresdata/scf/scfindex.htm.) This exhibit reports percentages for all households.

The question on ATMs asked whether any member of the household had an ATM card and not whether the member used it. The other questions asked about usage. Note that previous updates of this report
included statistics on smart cards. That question was dropped after the 2001 survey.

b

Low income is defined as less than 50 percent of the median household income; moderate income is 50 to 80 percent of the median; middle income is 80 to 120 percent of the median; and upper income is
greater than 120 percent of the median. Each survey refers to income in the previous year. Median income in current dollars was $32,264 in 1994; $37,005 in 1997; $41,990 in 2000; $43,318 in 2003; $48,201 in
2006; and $49,777 in 2009.

c

Source: 1995, 1998, 2001, 2004, 2007, 2010 Survey of Consumer Finances data as of July 3, 2012, Federal Reserve System, and author’s calculations.

28 Q3 2012 Business Review

Exhibit 1, Part 2
Percent of U.S. Households That Use Each Instrument: Survey of Consumer Finances, 1995, 1998,
2001, 2004, 2007, and 2010a

Automatic Bill Paying

Any of the Methods:
ATM, Debit Card, Smart Card, Direct Deposit,
Automatic Bill Paying, or Software

Softwareb

1995

1998

2001

2004

2007

2010

2001

2004

2007

2010

1995

1998

2001

2004

2007

2010

21.8%

36.0%

40.3%

47.4%

45.5%

48.3%

18.0%

19.3%

19.1%

18.5%

77.7%

85.5%

88.9%

90.7%

91.8%

93.7%

Under 30 years old

17.7%

30.5%

32.1%

36.5%

35.7%

42.9%

17.0%

20.4%

21.4%

22.3%

76.3%

80.2%

83.8%

87.6%

88.6%

92.2%

Between 30 and 60 years old

24.4%

38.6%

44.1%

50.3%

48.8%

49.8%

22.0%

21.9%

21.6%

20.3%

78.7%

87.5%

89.9%

90.9%

92.4%

93.9%

Over 60 years old

18.2%

33.0%

35.9%

46.5%

42.9%

47.5%

9.0%

12.8%

12.3%

13.0%

76.1%

83.7%

89.4%

92.0%

92.1%

94.0%

9.7%

17.1%

18.2%

24.6%

23.8%

29.4%

6.1%

6.8%

7.7%

9.0%

56.7%

69.3%

74.3%

78.0%

79.7%

84.6%

Moderate income

17.5%

30.5%

35.1%

40.5%

37.8%

42.3%

10.7%

11.1%

10.7%

11.2%

78.4%

87.2%

88.6%

88.7%

91.1%

93.4%

Middle income

23.4%

42.8%

45.1%

52.8%

50.2%

52.9%

16.3%

17.8%

18.8%

17.0%

85.1%

89.4%

92.5%

95.5%

96.4%

96.7%

Upper income

32.1%

49.3%

55.2%

62.4%

61.6%

62.5%

29.9%

31.4%

30.5%

29.4%

89.6%

94.9%

97.1%

97.5%

98.4%

98.9%

No college degree

18.1%

30.2%

33.7%

39.5%

38.0%

40.8%

10.9%

12.4%

11.9%

11.2%

71.4%

80.7%

85.1%

86.6%

88.4%

90.9%

College degree

30.1%

47.7%

53.2%

61.1%

59.3%

61.0%

31.8%

31.3%

32.2%

30.7%

91.8%

95.1%

96.4%

98.0%

98.2%

98.4%

All Households
By Age

By Incomec
Low income

By Education

www.philadelphiafed.org

a
The percentages reported are based on the population-weighted figures using the revised Kennickell-Woodburn consistent weights for each year. (For further discussion see the Survey of Consumer Finances codebooks at http://www.federalreserve.gov/econresdata/scf/scfindex.htm.) This exhibit reports percentages for all households.

The question on software asked whether the respondent or spouse/partner uses any type of computer software to help in managing their money.

b

Low income is defined as less than 50 percent of the median household income; moderate income is 50 to 80 percent of the median; middle income is 80 to 120 percent of the median; and upper income is
greater than 120 percent of the median. Each survey refers to income in the previous year. Median income in current dollars was $32,264 in 1994; $37,005 in 1997; $41,990 in 2000; $43,318 in 2003; $48,201
in 2006; and $49,777 in 2009.

c

Source: 1995, 1998, 2001, 2004, 2007, 2010 Survey of Consumer Finances data as of July 3, 2012, Federal Reserve System, and author’s calculations.

www.philadelphiafed.org

Exhibit 2, Part 1
Percent of U.S. Households with at Least One Financial Institution Using Each Method
Among the Main Ways of Conducting Business with at Least One of Their Financial Institutionsa
In Person
1995

1998

2001

2004

85.5%

79.5%

77.2%

Under 30 years old

77.0%

Between 30 and 60 years old
Over 60 years old

Mail
1998

2001

2004

1995

1998

2001

2004

2007

2010

77.4% 84.9%

84.9% 56.5% 54.1%

50.4%

50.5% 58.9%

52.1% 33.8%

52.6%

56.7% 64.4%

73.6%

77.5%

73.7%

71.5% 72.9% 79.3%

80.1% 58.2% 51.9%

50.5%

44.5% 52.4%

45.4% 53.0% 68.8% 72.6% 79.3%

86.2% 89.8%

86.8%

81.8%

78.6% 77.3% 84.8%

84.6% 62.1% 60.4%

56.6% 56.8% 62.7%

54.0% 37.7%

61.5%

65.0% 72.0%

82.2%

83.3%

86.7%

77.2%

76.8% 79.6% 87.7%

87.6% 44.0% 39.9%

36.0%

39.2% 53.5%

51.0% 16.2%

22.3% 29.8% 39.9%

49.5%

60.4%

Low income

81.2%

70.3%

68.2% 71.2% 80.9%

81.1% 32.8% 33.4%

24.7%

28.9% 40.4%

39.5% 19.6%

34.7%

35.6% 46.6%

53.9%

63.7%

Moderate income

85.9%

80.4%

76.9% 75.0% 83.0%

83.6% 48.5% 46.9% 42.0% 42.8% 52.5%

47.8% 29.6%

47.8%

50.5% 62.3%

71.4%

74.9%

Middle income

85.7%

81.4%

78.6% 77.8% 86.4%

87.0% 56.9% 56.4%

58.4%

56.4% 63.0%

56.7% 37.7%

54.1%

60.7% 65.9%

80.5% 80.6%

Upper income

87.7%

84.1%

81.8% 81.5% 87.4%

87.1% 74.3% 69.1%

64.9% 63.0% 70.9%

60.1% 42.3%

65.2%

69.6% 74.4%

83.3% 86.0%

No college degree

85.8%

79.2%

75.1%

76.9% 84.0%

84.3% 49.4% 48.2%

43.5%

47.8%

45.1%

50.1% 59.2%

69.0%

74.2%

College degree

84.8%

80.2%

81.1%

78.0% 86.5%

85.9% 71.2% 65.2% 63.0% 60.6% 67.7%

66.7% 68.8% 72.9%

81.7%

82.8%

All Households

2007

2010

1995

ATM/Debit Cardb
2007

2010

By Age

By Incomec

By Education
44.3% 53.8%

27.4%

59.2% 46.7%

Business Review Q3 2012 29

a
The percentages reported are based on the population-weighted figures using the revised Kennickell-Woodburn consistent weights for each year. (For further discussion see the Survey of Consumer Finances
codebooks at http://www.federalreserve.gov/econresdata/scf/scfindex.htm.) Referring to each financial institution with which the household does business, the survey asked: “How do you mainly do business
with this institution?” Respondents could list multiple methods, with the main method listed first. This exhibit reports for all households with at least one financial institution all the methods a respondent
listed for each of the household’s financial institutions. Note, the percentages do not add up to 100 percent across columns, since households could list more than one method and more than one financial
institution. Previous versions of this chart prior to 2006 reported for 1998 and 2001 on the main ways respondents did business with their depository financial institutions (i.e., commercial banks, trust
companies, thrifts, and credit unions) rather than with any of their financial institutions.
b

In 1995, the question did not include debit cards.

Low income is defined as less than 50 percent of the median household income; moderate income is 50 to 80 percent of the median; middle income is 80 to 120 percent of the median; and upper income
is greater than 120 percent of the median. Each survey refers to income in the previous year. Median income in current dollars was $32,264 in 1994; $37,005 in 1997; $41,990 in 2000; $43,318 in 2003;
$48,201 in 2006; and $49,777 in 2009.

b

Source: 1995, 1998, 2001, 2004, 2007, 2010 Survey of Consumer Finances data as of July 3, 2012, Federal Reserve System, and author’s calculations.

30 Q3 2012 Business Review

Exhibit 2, Part 2
Percent of U.S. Households with at Least One Financial Institution Using Each Method
Among the Main Ways of Conducting Business with at Least One of Their Financial Institutionsa
Phone
1995

2001

Electronicb

2004

2007

2010 1995 1998

2001

2004

2007

2010

1995

1998

2001

2004

2007

25.7% 49.7%

48.9% 49.0%

61.8%

61.4% 3.7%

6.2%

19.6% 33.7%

51.5%

60.5% 56.2%

81.7%

87.0%

89.2%

93.3% 94.8%

20.8% 45.4%

45.9%

43.2%

52.9%

58.6% 5.2%

8.3%

22.9% 42.2%

61.7%

73.9%

66.7%

81.0%

85.2%

89.2%

94.6% 96.9%

Between 30 and 60 years old 28.1% 54.3%

52.4%

51.5%

64.8%

62.2% 4.5%

7.6%

24.2% 39.9%

60.5%

67.9%

59.9%

85.1%

89.4%

90.9%

95.1%

96.1%

23.0% 40.6% 42.4% 46.0%

59.3%

60.7% 1.2%

1.6%

7.3%

15.4%

27.4%

40.0% 43.4%

73.9%

82.4%

85.4%

88.7%

91.2%

Low income

13.5% 28.8% 29.2% 30.0%

46.8%

50.0% 1.3%

1.5%

4.8%

14.0%

23.9%

33.1%

35.3%

65.4%

73.8%

78.7%

83.7%

87.4%

Moderate income

18.6% 42.5% 42.8% 44.8%

59.6%

59.6% 1.8%

2.7%

11.2% 22.5%

38.1%

48.5% 48.5%

80.1%

84.2%

84.8%

92.1%

94.2%

Middle income

22.6% 51.7%

51.7%

50.7%

62.8%

64.4% 4.0%

4.3%

17.8% 32.5%

53.0%

64.1%

59.2%

85.2%

89.7%

92.1%

96.6% 97.0%

Upper income

37.9% 64.9%

61.4%

60.4%

71.2%

68.1% 5.9% 11.5% 32.5% 49.5%

72.9%

82.1%

70.8% 91.0%

94.5%

95.6%

98.1%

No college degree

19.7% 41.9%

41.7%

43.4%

58.1%

57.1% 2.8%

11.3% 24.0%

39.8%

48.8% 47.8%

76.5%

83.2%

85.7%

90.3% 92.8%

College degree

38.1% 64.3%

61.9%

58.0%

68.2%

68.3% 5.6% 12.8% 34.8% 49.4%

71.8%

79.4%

91.4%

94.0%

94.9%

98.4% 98.0%

All Households

1998

Computer

2010

By Age:
Under 30 years old

Over 60 years old
By Incomec

98.7%

By Education
2.7%

73.5%

www.philadelphiafed.org

a
The percentages reported are based on the population-weighted figures using the revised Kennickell-Woodburn consistent weights for each year. (For further discussion see the Survey of Consumer Finances
codebooks at http://www.federalreserve.gov/econresdata/scf/scfindex.htm.) Referring to each financial institution with which the household does business, the survey asked: “How do you mainly do business
with this institution?” Respondents could list multiple methods, with the main method listed first. This exhibit reports for all households with at least one financial institution all the methods a respondent
listed for each of the household’s financial institutions. Note, the percentages do not add up to 100 percent across columns, since households could list more than one method and more than one financial
institution. Previous versions of this chart prior to 2006 reported for 1998 and 2001 on the main ways respondents did business with their depository financial institutions (i.e., commercial banks, trust
companies, thrifts, and credit unions) rather than with any of their financial institutions.

In 1995, electronic refers to ATM, phone, payroll deduction and direct deposit, electronic transfer, or computer. In 1998, 2001, 2004, 2007, and 2010, electronic refers to ATM, phone (via voice or touchtone), direct deposit, direct withdrawal/payment, other electronic transfer, computer/Internet/online service, or fax machine.

b

Low income is defined as less than 50 percent of the median household income; moderate income is 50 to 80 percent of the median; middle income is 80 to 120 percent of the median; and upper income
is greater than 120 percent of the median. Each survey refers to income in the previous year. Median income in current dollars was $32,264 in 1994; $37,005 in 1997; $41,990 in 2000; $43,318 in 2003;
$48,201 in 2006; and $49,777 in 2009.

c

Source: 1995, 1998, 2001, 2004, 2007, 2010 Survey of Consumer Finances data as of July 3, 2012, Federal Reserve System, and author’s calculations.

Figures 1.1-1.6 illustrate the data in Exhibit 1 on the percent of U.S. households that use each instrument

FIGURE 1.1					FIGURE 1.2

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

1998

all hhs

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2001

under 30 yrs old

1998

all hhs

1998

all hhs

www.philadelphiafed.org

2004

2010

over 60 yrs old

2007

2010

1998

all hhs

1998

all hhs

upper income

2004

no college degree

2007

2001

under 30 yrs old

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

moderate income

low income

2001

2007

30-60 yrs old

2001

middle income

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2004

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2010

college degree

1998

all hhs

2007

30-60 yrs old

2001

2004

2001

2010

over 60 yrs old

2007

2010

moderate income

low income

middle income

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2004

upper income

2004

no college degree

2007

2010

college degree

Business Review Q3 2012 31

FIGURE 1.3					FIGURE 1.4

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

1998

all hhs

2001

under 30 yrs old

2004

2007

30-60 yrs old

2010

over 60 yrs old

Percent

100
90
80
70
60
50
40
30
20
10
0
1995

1998

all hhs

2001

2004

2010

1998

all hhs

32 Q3 2012 Business Review

2001

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2004

no college degree

2007

2001

under 30 yrs old

1998

all hhs

upper income

2010

college degree

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

1998

all hhs

2004

2004

2010

over 60 yrs old

2007

2010

moderate income

low income

2001

2007

30-60 yrs old

2001

middle income

Percent

100
90
80
70
60
50
40
30
20
10
0
1995

1998

all hhs

moderate income

low income

middle income

2007

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

upper income

2004

no college degree

2007

2010

college degree

www.philadelphiafed.org

FIGURE 1.5					FIGURE 1.6

ATM, Debit Card, Smart Card, Direct Deposit, Automatic Bill Paying, or Software

Percent

40
30
20
10
0
2001

2004

all hhs

under 30 yrs old

2007

2010

30-60 yrs old

over 60 yrs old

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

1998

all hhs

2001

under 30 yrs old

2004

2007

30-60 yrs old

2010

over 60 yrs old

ATM, Debit Card, Smart Card, Direct Deposit, Automatic Bill Paying, or Software

Percent
40
30
20
10
0
2001

2004

2007

middle income

1998

all hhs

moderate income

low income

all hhs

2010

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2001

2007

2010

moderate income

low income

middle income

upper income

2004

upper income

ATM, Debit Card, Smart Card, Direct Deposit, Automatic Bill Paying, or Software

Percent
40
30
20
10
0
2001

2004

all hhs

www.philadelphiafed.org

no college degree

2007

2010

college degree

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

1998

all hhs

2001

2004

no college degree

2007

2010

college degree

Business Review Q3 2012 33

Figures 2.1-2.6 illustrate the data in Exhibit 2 on the percent of U.S. households with a financial institution
that use each instrument among the main ways of conducting business with at least one of their financial
institutions

FIGURE 2.1					FIGURE 2.2

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

1998

all hhs

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2001

under 30 yrs old

1998

all hhs

1998

all hhs

34 Q3 2012 Business Review

2004

2010

over 60 yrs old

2007

2010

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

no college degree

2007

2001

under 30 yrs old

1998

all hhs

upper income

2004

1998

all hhs

moderate income

low income

2001

2007

30-60 yrs old

2001

middle income

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2004

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2010

college degree

1998

all hhs

2004

2010

over 60 yrs old

2007

2010

moderate income

low income

2001

2007

30-60 yrs old

2001

middle income

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2004

upper income

2004

no college degree

2007

2010

college degree

www.philadelphiafed.org

FIGURE 2.3					FIGURE 2.4

Percent

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

1998

all hhs

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2001

under 30 yrs old

1998

all hhs

1998

all hhs

www.philadelphiafed.org

2004

2010

over 60 yrs old

2007

2010

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

no college degree

2007

2001

under 30 yrs old

1998

all hhs

upper income

2004

1998

all hhs

moderate income

low income

2001

2007

30-60 yrs old

2001

middle income

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2004

100
90
80
70
60
50
40
30
20
10
0
1995

2010

college degree

1998

all hhs

2004

2010

over 60 yrs old

2007

2010

moderate income

low income

2001

2007

30-60 yrs old

2001

middle income

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2004

upper income

2004

no college degree

2007

2010

college degree

Business Review Q3 2012 35

FIGURE 2.5					FIGURE 2.6

Percent

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

1998

all hhs

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2001

under 30 yrs old

1998

all hhs

1998

all hhs

36 Q3 2012 Business Review

2004

2010

over 60 yrs old

2007

2010

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

no college degree

2007

2001

under 30 yrs old

1998

all hhs

upper income

2004

1998

all hhs

moderate income

low income

2001

2007

30-60 yrs old

2001

middle income

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2004

100
90
80
70
60
50
40
30
20
10
0
1995

2010

college degree

1998

all hhs

2004

2010

over 60 yrs old

2007

2010

moderate income

low income

2001

2007

30-60 yrs old

2001

middle income

Percent
100
90
80
70
60
50
40
30
20
10
0
1995

2004

upper income

2004

no college degree

2007

2010

college degree

www.philadelphiafed.org

Research Rap

Abstracts of
research papers
produced by the
economists at
the Philadelphia
Fed

You can find more Research Rap abstracts on our website at: www.philadelphiafed.org/research-and-data/
publications/research-rap/. Or view our working papers at: www.philadelphiafed.org/research-and-data/
publications/.

ELIMINATING SOCIAL SECURITY:
IMPLICATIONS FOR LABOR SUPPLY
AND CONSUMPTION DECISIONS
This paper incorporates home production into a dynamic general equilibrium
model of overlapping generations with
endogenous retirement to study Social
Security reforms. As such, the model differentiates both consumption goods and labor
effort according to their respective roles in
home production and market activities. Using a calibrated model, the authors find that
eliminating the current pay-as-you-go Social
Security system has important implications
for both labor supply and consumption decisions and that these decisions are influenced by the presence of a home production
technology. Comparing their benchmark
economy to one with differentiated goods
but no home production, the authors find
that eliminating Social Security benefits
generates larger welfare gains in the presence of home production. This result is due
to the self-insurance aspects generated by
the presence of home production. Comparing their economy to a one-good economy
without home production, the authors show
that the welfare gains of eliminating Social
Security are magnified even further. These
policy analyses suggest the importance of
modeling home production and distinguishing between both time use and consumption goods depending on whether they are
involved in market or home production.
Working Paper 12-5, “Home Production
and Social Security Reform,” Michael Dotsey,
Federal Reserve Bank of Philadelphia; Wenli
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Li, Federal Reserve Bank of Philadelphia; and
Fang Yang, State University of New York at
Albany
INTERNATIONALLY INTEGRATED
FINANCIAL MARKETS AND LEVELS
OF PUBLIC DEBT
During the last three decades, the stock
of government debt has increased in most
developed countries. Also observed during
the same period are a significant liberalization of international financial markets and
an increase in income inequality in several
industrialized countries. In this paper the
authors propose a multi-country political
economy model with incomplete markets
and endogenous government borrowing and
show that governments choose higher levels
of public debt when financial markets become
internationally integrated and inequality increases. The authors also conduct an empirical analysis using OECD data and find that
the predictions of the theoretical model are
supported by the empirical results.
Working Paper 12-6, “Financial Globalization, Inequality, and the Raising of Public Debt,”
Marina Azzimonti, Federal Reserve Bank of
Philadelphia; Eva de Francisco, Towson University; and Vincenzo Quadrini, University of
Southern California
DOCUMENTING THE PRESENCE OF
A PRIVATE PREMIUM IN PUBLIC
BONDS
This paper is the first to document the
presence of a private premium in public
bonds. The authors find that spreads are 31
Business Review Q3 2012 37

basis points higher for public bonds of private companies than for bonds of public companies, even after
controlling for observable differences, including rating,
financial performance, industry, bond characteristics,
and issuance timing. The estimated private premium
increases to 40 to 50 basis points when a propensity
matching methodology is used or when they control
for fixed issuer effects. Despite the premium pricing,
bonds of private companies are no more likely to default
or be downgraded than are public bonds. They do not
have worse secondary market performance or higher
CDS spreads nor are they necessarily less liquid. Bond
investors appear to discount the value of privately held
equity. The effect does not come only from the lack of a
public market signal of asset quality because very small
public companies also pay high spreads.
Working Paper 12-7, “The Private Premium in Public
Bonds,” Anna Kovner, Federal Reserve Bank of New York,
and Chenyang Wei, Federal Reserve Bank of Philadelphia

were reversed. In this paper, the author examines how
tests for bias in expectations, measured using the Survey of Professional Forecasters, have changed over time.
In addition, key macroeconomic variables that are the
subject of forecasts are revised over time, causing problems in determining how to measure the accuracy of
forecasts. The results of bias tests are found to depend
on the subsample in question, as well as what concept
is used to measure the actual value of a macroeconomic
variable. Thus, the author’s analysis takes place in two
dimensions: across subsamples and with alternative
measures of realized values of variables.
Working Paper 12-9, “Forecast Bias in Two Dimensions,” Dean Croushore, University of Richmond, and
Visiting Scholar, Federal Reserve Bank of Philadelphia

HOW INVENTORIES AFFECT TRADE,
INFORMATION DISSEMINATION, AND PRICE
FORMATION
The authors study trade between a buyer and a
seller who have existing inventories of assets similar to
those being traded. They analyze how these inventories
affect trade, information dissemination, and prices. The
authors show that when traders’ initial leverages are
moderate, inventories increase price and trade volume
(a market “run-up”), but when leverages are high, trade
is impossible (a market “freeze”). Their analysis predicts a pattern of trade in which prices and volumes
first increase and then markets break down. Moreover,
the presence of competing buyers may amplify the
increased-price effect. The authors discuss implications
for regulatory intervention in illiquid markets.
Working Paper 12-8, “Market Run-Ups, Market
Freezes, Inventories, and Leverage,” Philip Bond, University
of Minnesota, and Yaron Leitner, Federal Reserve Bank of
Philadelphia

DESCRIBING A NEW KEYNESIAN MODEL
WITH A ZERO LOWER BOUND ON NOMINAL
INTEREST RATES
Motivated by the recent experience of the U.S.
and the Eurozone, the authors describe the quantitative properties of a New Keynesian model with a zero
lower bound (ZLB) on nominal interest rates, explicitly
accounting for the nonlinearities that the bound brings.
Besides showing how such a model can be efficiently
computed, the authors found that the behavior of the
economy is substantially affected by the presence of the
ZLB. In particular, the authors document 1) the unconditional and conditional probabilities of hitting the
ZLB; 2) the unconditional and conditional probability
distributions of the duration of a spell at the ZLB; 3)
the responses of output to government expenditure
shocks at the ZLB; 4) the distribution of shocks that
send the economy to the ZLB; and 5) the distribution
of shocks that keep the economy at the ZLB.
Working Paper 12-10, “Nonlinear Adventures at the
Zero Lower Bound,” Jesús Fernández-Villaverde, University
of Pennsylvania; Grey Gordon, University of Pennsylvania;
Pablo Guerrón-Quintana, Federal Reserve Bank of Philadelphia; and Juan F. Rubio-Ramírez, Duke University

Testing for Bias in EXPECTATIONS AS
MEASURED BY ECONOMIC FORECASTS
Economists have tried to uncover stylized facts
about people’s expectations, testing whether such expectations are rational. Tests in the early 1980s suggested that expectations were biased, and some economists
took irrational expectations as a stylized fact. But, over
time, the results of tests that led to such a conclusion

REGULATING BANK LENDING PRACTICES
AND THE OPTIMAL PROVISION OF PRIVATE
LIQUIDITY
The authors show that the regulation of bank
lending practices is necessary for the optimal provision of private liquidity. In an environment in which
bankers cannot commit to repay their creditors, the
authors show that neither an unregulated banking

38 Q3 2012 Business Review

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system nor narrow banking can provide the socially
efficient amount of liquidity. If the bankers provided
such an amount, then they would prefer to default on
their liabilities. The authors show that a regulation that
increases the value of the banking sector’s assets (e.g.,
by limiting competition in bank lending) will mitigate
the commitment problem. If the value of the bank
charter is made sufficiently large, then it is possible to
implement an efficient allocation. Thus, the creation of
a valuable bank charter is necessary for efficiency.
Working Paper 12-11, “Private Liquidity and Banking
Regulation,” Cyril Monnet, University of Bern, and Daniel
R. Sanches, Federal Reserve Bank of Philadelphia
HOW MUCH MONEY DID THE
IMPLEMENTATION OF CHECK 21 SAVE?
The authors estimate the cost savings to the U.S.
payment system resulting from implementing Check 21.
This legislation initially permitted a paper substitute
digital image of a check, and later an electronic digital
image of a check, to be processed and presented for
payment on a same-day basis. Check 21 has effectively
eliminated the processing and presentment of original
paper checks over multiple days. By shifting to electronic collection and presentment, the Federal Reserve
reduced its per item check processing costs by over 70
percent, reducing estimated overall payment system
costs by $1.16 billion in 2010. In addition, payment collection times and associated float fell dramatically for
collecting banks and payees with consequent additional
savings in firm working capital costs of perhaps $1.37
billion and consumer benefits of $0.64 billion.
Working Paper 12-12, “Getting Rid of Paper: Savings from Check 21,” David B. Humphrey, Florida State
University, and Visiting Scholar, Federal Reserve Bank of
Philadelphia, and Robert Hunt, Federal Reserve Bank of
Philadelphia
MARKET DISCIPLINE, RISK-TAKING, AND
BANK STABILITY
Self regulation encouraged by market discipline
constitutes a key component of Basel II’s third pillar.
But high-risk investment strategies may maximize the
expected value of some banks. In these cases, does market discipline encourage risk-taking that undermines
bank stability in economic downturns? This paper reviews the literature on corporate control in banking. It
reviews the techniques for assessing bank performance,
interaction between regulation and the federal safety
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net with market discipline on risk-taking incentives and
stability, and sources of market discipline, including
ownership structure, capital market discipline, product
market competition, labor market competition, boards
of directors, and compensation.
Working Paper 12-13, “A Primer on Market Discipline
and Governance of Financial Institutions for Those in
a State of Shocked Disbelief,” Joseph P. Hughes, Rutgers
University, and Loretta J. Mester, Federal Reserve Bank of
Philadelphia
EXAMINING HOW SENIORITY CAN
MITIGATE THE DEBT DILUTION PROBLEM
An important source of inefficiency in long-term
debt contracts is the debt dilution problem, wherein a
borrower ignores the adverse impact of new borrowing
on the market value of outstanding debt and, therefore,
borrows too much and defaults too frequently. A commonly proposed remedy to the debt dilution problem
is seniority of debt, wherein creditors who lent first
are given priority in any bankruptcy or restructuring
proceedings. The goal of this paper is to incorporate
seniority in a quantitatively realistic, infinite horizon
model of sovereign debt and default and examine, both
theoretically and quantitatively, the extent to which
seniority can mitigate the debt dilution problem.
Working Paper 12-14, “Debt Dilution and Seniority in
a Model of Defaultable Sovereign Debt,” Satyajit Chatterjee, Federal Reserve Bank of Philadelphia, and Burcu
Eyigungor, Federal Reserve Bank of Philadelphia
FORGIVING STUDENT LOANS WHEN
BORROWERS DON’T COMPLETE COLLEGE
Participants in student loan programs must repay
loans in full regardless of whether they complete college. But many students who take out a loan do not
earn a degree (the dropout rate among college students
is between 33 to 50 percent). The authors examine
whether insurance, in the form of loan forgiveness in
the event of failure to complete college, can be offered,
taking into account moral hazard and adverse selection. To do so, they develop a model that accounts for
college enrollment and graduation rates among recent
U.S. high school graduates. In their model, students
may fail to earn a degree because they either fail college
or choose to leave voluntarily. The authors find that
if loan forgiveness is offered only when a student fails
college, average welfare increases by 2.40 percent (in
consumption equivalent units) without much effect on
Business Review Q3 2012 39

either enrollment or graduation rates. If loan forgiveness
is offered against both failure and voluntary departure,
welfare increases by 2.15 percent, and both enrollment
and graduation are higher.
Working Paper 12-15, “Insuring Student Loans
Against the Financial Risk of Failing to Complete College,”
Satyajit Chatterjee, Federal Reserve Bank of Philadelphia,
and Felicia Ionescu, Colgate University
TRADE WEDGES AND FLUCTUATIONS IN
INTERNATIONAL TRADE
The large, persistent fluctuations in international
trade that cannot be explained in standard models by
changes in expenditures and relative prices are often
attributed to trade wedges. The authors show that these
trade wedges can reflect the decisions of importers

40 Q3 2012 Business Review

to change their inventory holdings. They find that a
two-country model of international business cycles with
an inventory management decision can generate trade
flows and wedges consistent with the data. Moreover,
matching trade flows alters the international transmission of business cycles. Specifically, real net exports become countercyclical and consumption is less correlated
across countries than in standard models. The authors
also show that ignoring inventories as a source of trade
wedges substantially overstates the role of trade wedges
in business cycle fluctuations.
Working Paper 12-16, “Trade Wedges, Inventories,
and International Business Cycles,” George Alessandria,
Federal Reserve Bank of Philadelphia; Joseph Kaboski,
University of Notre Dame; and Virgiliu Midrigan, New
York University

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