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Debt Overhang:
Why Recovery from a Financial Crisis Can Be Slow*
By Satyajit Chatterjee

A

particularly troublesome feature of the most
recent recession has been the painfully slow
growth in employment during the recovery. For
employment growth to accelerate, economists
believe that firms need to invest in new productive capacity.
This view is typically couched in terms of the need to
reallocate jobs away from crisis-depressed sectors into other
sectors. But doing so requires an expansion in productive
capacity in those other sectors. Tepid employment growth
is a sign that this investment in new productive capacity
has not been forthcoming. One reason for the reluctance to
undertake productive investment following a financial crisis
is debt overhang, a situation in which the existence of prior
debt acts as a disincentive to new investment. There are
other explanations that, to varying degrees, account for the
current reluctance of U.S. corporations to invest. In this
article, Satyajit Chatterjee focuses on the debt overhang
problem.

In their widely read book, Carmen Reinhart and Kenneth Rogoff
have marshaled an impressive amount
of data on global financial crises going
back eight centuries. One lesson from
Satyajit
Chatterjee is a
senior economic
advisor and
economist in
the Philadelphia
Fed’s Research
Department.
This article is
available free
of charge at www.philadelphiafed.org/
research-and-data/publications/.
www.philadelphiafed.org

their work is that economic recovery
from bad financial crises tends to be
slow. On average, it takes an economy
somewhere around seven years following a crisis to get economic activity
back to its normal trend path. In some
cases, the return to trend can take
much longer — close to two decades!
This historical experience resonates with our current situation. A
particularly troublesome feature of the

* 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.

recent recession has been the painfully
slow growth in employment during
the recovery. In order for employment growth to accelerate, economists
believe that firms need to invest in
new productive capacity. This view is
typically couched in terms of the need
to absorb workers formerly employed
in the sectors that were most adversely
affected by the financial crisis —
namely, the construction and financial
sectors — into other sectors of the
economy. The reallocation of jobs away
from crisis-depressed sectors requires
an expansion in productive capacity
in other sectors. Tepid employment
growth is a sign that this investment in
new productive capacity has not been
forthcoming.
But it is not for a lack of resources.
Figure 1 displays the profits of the nonfinancial corporate sector and shows
that profits rose strongly during this recovery. And if we examine the disposition of investible funds, we discover
that the nonfinancial corporate sector
has dramatically reduced its investment in productive capacity relative to
the resources available for investment.
This is evident in Figure 2, which
shows capital outlays of the nonfinancial corporate sector as a percentage of
funds that the nonfinancial corporate
sector already possesses (without recourse to any new borrowings or equity
issues — so-called “internal funds”)
and can use for this purpose. This
percentage fell precipitously during
the recession and has since remained
depressed. These facts indicate that
the U.S. nonfinancial corporate sector
possesses investible resources but has
chosen not to deploy these resources in
productive investments during the reBusiness Review Q2 2013 1

FIGURE 1
Domestic Nonfinancial Corporate
Profits Before Tax with IVA and CC
Adjustments
Billions of USD (SAAR)
1,200

1,000

800

600

400

200
Last quarter plotted: 2012Q3
0

1997

1999

2001

2003

2005

2007

2009

2011

Sources: BEA, Haver

FIGURE 2
Nonfinancial Corporations: Capital
Outlays/U.S. Internal Funds (SA)
Percent of U.S. Internal Funds
160
150
140
130
120
110

covery. Since our current slow recovery
is partly attributable to the reluctance
of businesses to invest in productive
assets, we need to understand why
financial crises have this effect on
investment.1
Economists believe that one
reason for the reluctance to undertake productive investment following a financial crisis is debt overhang.
Debt overhang is a situation in which
the existence of prior debt acts as a
disincentive to new investment. When
a firm has outstanding debt on which
the likelihood of default is significant,
any investment that improves the
firm’s future profit potential also increases the value of outstanding debt.
All else remaining the same, an increase in the value of outstanding debt
reduces the value of equity in the firm;
that is, it results in a wealth transfer
from equity owners to existing creditors. Since equity owners are the ones
who make investment decisions, the
transfer acts like a tax on the return
on new investment. This “tax” results
in a drop in the rate of investment in
business capital, which, in turn, slows
down the recovery.
There are other possible explanations for the reluctance of U.S. companies to invest. One oft-cited reason
is “increased uncertainty about the
future.” When investment decisions
are costly to reverse, there is value
in waiting and learning more about
future conditions before committing
funds to a project. Thus, increased
uncertainty about the future may

100
90
80
70
Last quarter plotted: 2012Q3

60

1997

1999

2001

Sources: FRB Flow of Funds, Haver

2 Q2 2013 Business Review

2003

2005

2007

2009

2011

1
One might think that the reluctance to add
new productive capacity results from current
capacity utilization rates being low. If existing
capacity is not being fully utilized, why expand
capacity? True, but it raises the question of why
utilization rates are low. If corporations as a
whole were investing more, capacity utilization
rates would go up right away. One must consider
the possibility that low capacity utilization is a
symptom of some deeper malady that is affecting investment – not the malady itself.

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cause companies to delay investment.
Aside from the increased uncertainty
that inevitably accompanies a deep
recession, commentators have pointed
to uncertainty about the future path
of U.S. fiscal (tax and expenditure)
policy as well as uncertainty about the
impact on businesses’ health-care costs
resulting from the recently enacted
Affordable Care Act as factors holding
back investment and hiring. Another
explanation may be that the growth
rate of (multifactor) productivity has
fallen back to its historical norm from
the above-average pace experienced
during the decade preceding the onset
of the financial crisis, causing the
rate of investment growth to decline
in tandem. Finally, it is thought that
retiring baby boomers may be holding
back business investment by depressing
equity values as they sell stocks to fund
their retirement. More fundamentally,
a more slowly growing labor force requires less growth in capital equipment
to productively equip new workers
joining the labor force, so there is less
growth in investment. Of course, all of
these explanations, to varying degrees,
account for the current reluctance of
U.S. corporations to invest. In this
article I focus on the debt overhang
problem.2
FINANCIAL CRISIS AND THE
GENESIS OF DEBT OVERHANG
The genesis of the debt overhang
problem lies in the recent financial cri-

sis. The crisis caused the U.S. banking
sector to deleverage. In doing so, banks
cut off credit to the nonfinancial sector
— the now infamous “credit crunch.”
Because credit is a fundamental ingredient in the smooth operation of asset
markets, the crunch adversely affected
the value of all types of tangible business capital. The steep drops in the
value of assets owned by the nonfinancial corporate sector also lowered
the sector’s net worth and raised the
frequency of business failures.3 Both
factors made corporate debt appear
more risky to investors.
It is worth observing that “excessive borrowing” by the nonfinancial
corporate sector during the boom years
is not part of this narrative. Figure
3 shows the liabilities of the nonfi-

The net worth of the nonfinancial corporate sector is simply the difference between
the value of its assets and its liabilities. The
mechanism through which a drop in net worth
amplifies a credit crunch is discussed in more
detail in my 2010 Business Review article.
3

nancial corporate sector scaled by
the gross value added in the sector.4
During much of the boom period, the
liabilities of the sector shrank relative
to its GDP. Nevertheless, it is true
that whatever debt there was became
much more risky following the onset of
the financial crisis in the fall of 2008.
Figure 4 shows the difference in yields
on medium-term industrial bonds and
U.S. Treasuries. The difference is the
additional return required by investors
to absorb the default risk present in
industrial bonds but absent in Treasury
bonds. As one can see, the compensation for default risk (the so-called risk
spread) rose dramatically as the crisis
unfolded and remains elevated today.
Although risk spreads can go up

4
Scaling by sector GDP takes account of the
fact that borrowing is a natural complement
of economic activity and tends to go up with
it. Thus, to determine if the sector indulged in
“excessive” borrowing, it is important to look at
its liabilities relative to a measure of economic
activity.

FIGURE 3
Nonfinancial Corporations: Liabilities as a
Share of Gross Value Added
Ratio to Gross Value Added
2.2

2.0

1.8
2
Following the onset of the financial crisis, a
number of researchers and many commentators
have pointed to debt overhang as a reason for
the drop in investment and its slow recovery.
The article by Thomas Philippon and the
commentary by Filippo Occhino, for instance,
discuss the debt overhang problem as it pertains
to the current crisis. Occhino and Andrea
Pescatori’s article discusses the role of debt
overhang in constraining investment during
business downturns more generally. The article
by Karen Croxson, Susan Lund, and Charles
Roxburgh stresses the global extent of the debt
overhang problem and looks broadly at both
private-sector and public-sector debt.

www.philadelphiafed.org

1.6

1.4

1.2
Last quarter plotted: 2012Q3
1.0

1997

1999

2001

2003

2005

2007

2009

2011

Sources: BEA, FRB Flow of Funds, Haver
Business Review Q2 2013 3

for many reasons, the evidence is suggestive of a crisis-induced increase in
default risk as well as loss rates given
default. Figure 5 displays the number
of business bankruptcy filings. Filings
were on an upward trend even before
the crisis, but they have accelerated
since the third quarter of 2008. Although filings have come down, they
remained elevated relative to the boom
years until recently. Figure 6 displays
the ratio of credit market debt of the
nonfinancial corporate sector and the
value of tangible assets in this sector.
As shown, the ratio rose from around
42 percent at the start of 2007 to more
than 56 percent at the height of the
crisis. The ratio is currently above
50 percent. A higher value of debt
relative to tangible assets is a concern
for creditors because tangible assets
are what creditors mostly recover if a
company fails. A loan-to-value ratio of
50 percent is an indication to creditors
that they should now expect higher
loss rates (given default) compared
with the pre-crisis years.5
Finally, there is direct evidence
of a greater likelihood of default or an
increase in expected loss rates given
default. This evidence comes from
credit default swap (CDS) spreads on
bonds issued by highly reputable U.S.
corporations.6 A CDS written on a
specific corporate bond is an agreement in which the seller of the CDS
promises to compensate the buyer for

FIGURE 4
Corporate Bond Spreads
Difference in Yields
6
5
4
3
2
1
Last quarter plotted: 2012Q3

0

1997

1999

2001

2003

2005

2007

2009

2011

Note: Current Treasuries 5-10 years subtracted from corporate industrial bond 5-10 years,
yield to maturity
Sources: Bank of America, Merrill Lynch, Haver

FIGURE 5
Business Bankruptcy Filings
Filings
18,000
16,000
14,000
12,000
10,000

On the face of it, a loan-to-value ratio of 50
percent suggests that creditors will not take
any losses in case of bankruptcy. However, the
value of the firm’s tangible assets is much lower
in bankruptcy than its reported value when the
firm is a going concern. Indeed, it is not uncommon for creditors to dispose of recovered assets
at huge discounts. These so-called “fire sales”
occur because it is costly for creditors to hold on
to recovered assets.
5

The index is based mostly on the corporate
debt of nonfinancial firms. The few financial
firms that are included in this index are firms
whose debt maintained a top credit rating
through the crisis.

8,000
6,000
4,000
2,000
Last quarter plotted: 2012Q3

0

1997

1999

2001

2003

2005

2007

2009

2011

6

4 Q2 2013 Business Review

Sources: Administrative Office of the U.S. Courts, Haver

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any losses incurred due to default on
the named bond. In return, the buyer
pays the seller an insurance premium
each period. This insurance premium
is measured as a percent of the face
value of the bond and is referred to as
the CDS spread. A high spread means
that default on the bond is more likely,
that the loss incurred in the event of
default is higher, or both. As Figure 7
shows, the CDS spread was around 50
basis points (a basis point is 1/100 of a
percent) prior to the crisis, then rose
dramatically during the crisis, and is
still almost twice as high compared
with the pre-crisis period.
The bottom line is that corporate
sector debt began to look substantially
more risky to investors following the financial crisis, mostly because the crisis
depressed asset values.
DEBT OVERHANG: WHAT
IT MEANS AND WHY IT’S
BAD NEWS
In his 1995 article, Owen Lamont
gives an example of what debt overhang means and why it is bad for
investment. Suppose that a firm has
$100 in debt, due next year, but will
have assets worth only $80. Thus, the
firm will not have enough resources to
meet its debt obligations next year and
will default for sure. Now suppose that
a business opportunity presents itself to
this firm in the form of a project that
will cost $5 today and yield $15 next
year. If existing creditors are first in
line for the payout of the firm, no outside investors will be willing to supply
$5 to the firm because the benefit will
go to the original creditors, who will
have their payoff go up to $95. Lamont
calls the $20 gap between assets and
liabilities the debt overhang. If the net
payoff from the new investment cannot
cover this gap, the project will never
be financed by an outside investor.
Debt overhang raises the bar for new
investments: Only very profitable
investments will be worth undertakwww.philadelphiafed.org

FIGURE 6
Nonfinancial Corporations: Credit
Market Debt/Tangible Assets
Credit Market Debt over Tangible Assets
0.60

0.56

0.52

0.48

0.44
Last quarter plotted: 2012Q3

0.40

1997

1999

2001

2003

2005

2007

2009

2011

Sources: FRB Flow of Funds, Haver

FIGURE 7
CDS Spreads for Investment Grade Bonds
Basis Points
300

250

200

150

100

50
Last quarter plotted: 2012Q2
0

2004

2005

2006

2007

2008

2009

2010

2011 2012

Sources: Markit CDX.NA.IG, Bloomberg

Business Review Q2 2013 5

ing. In this example, the return on the
$5 dollar investment would have to be
at least $25 to make the investment
worthwhile to the outside investor.
The return would enable the firm to
repay what is owed to the original
creditor and still make a positive return on the investment.
It is easy to generalize this example to the case where default is probable but not certain. First, assume that
if no new investment is undertaken,
the value of assets in the next period
can be either $80 or $110 with equal
probability. Thus, there is a 50 percent
chance that the firm will be bankrupt
and the creditors will get $80, and
there is a 50 percent chance that the
firm will not be bankrupt, in which
case we may assume that the creditors
will receive $100.7 The market value
of the firm’s debt is then (½) × $80 +
(½) × $100 = $90.8 Correspondingly,
the market value of the firm’s equity
(i.e., the value of the firm to its owners) is (½) × $0 + (½) × $10 = $5
(which follows from the fact that when
the firm is bankrupt, the owners lose
everything, and when it is not bankrupt, the owners retain the difference
between the value of the assets and the
value of the liabilities). Now, assume
the new investment is undertaken.
Then, the value of the firm’s assets
in the next period will be either $95
(which is the sum of $80 plus $15, the
latter being the return from the new
investment) or $125 (which is the sum
of $110 and $15). Notice that even
with the new investment, there is a 50

percent probability that the firm will
go bankrupt, but instead of receiving
$80, the creditors will get $95 in the
event of default. Therefore, the market
value of existing debt will rise to (½) ×
$95 + (½) × $100 = $97.50. Correspondingly, the market value of equity
will rise to (½) × $0 + (½) $25 =
$12.50. The important point to note
here is that although the total value
of the firm rises by $15 (the payoff
from the new investment), half of the
overall increase in value goes to current creditors and half to owners. The
implicit expected percentage of the
“tax” imposed by current creditors on
the return on new investment to equity

It is worth pointing out that the debt overhang
problem can be eliminated if the returns to new
investment can be dedicated solely to new
investors.

In this eventuality, the firm can borrow
$100 again from the same or a different set of
creditors and pay off the loan that has come
due. The process of using new loans to pay off
maturing debt is called “rolling over” the debt.

holders is 50 percent, which is simply
the probability of bankruptcy.
The fact that the return to owners
from undertaking a new investment
is adjusted downward by the probability of default on existing debt is
what financial economists call the
“debt overhang” problem.9 Simply put,
in the event of default, the returns to
any new investment will first accrue to
the creditors rather than to the equity
holders, and this fact lowers the return
to equity holders from funding new
investment projects. All else remaining the same, the overhang can be
expected to reduce investment by leveraged corporations. Said differently,
the debt overhang raises the required
rate of return for new investment to be
undertaken.

8
For simplicity, I have assumed that the interest
rate on safe financial investments (say, a oneyear Treasury bond) is zero. If the interest rate
were positive, say, 1 percent, the market value of
the firm’s debt would be $90 ÷ 1.01.

9
See, for instance, the articles by Christopher
Hennessey and Stewart Myers.

7

6 Q2 2013 Business Review

Empirical estimates of the effects of debt overhang for individual
corporations appear to be quite large.
According to the study by Christopher Hennessey, Amnon Levy, and
Toni Whited, a 1 percent increase in
leverage for a corporation with median
leverage leads to a 1 percent decline in
investment for that corporation. While
it is not easy to translate this estimate
into an estimate of the reduction in aggregate business fixed investment due
to the debt overhang problem, it suggests that the effect is potentially significant. In the aggregate, the leverage
of the nonfinancial corporate sector
(measured as the ratio of its liabilities

to its net worth) is around 13 percent
higher now than before the crisis, suggesting that business investment may
now be 13 percent lower as a result of
debt overhang. Over a four-year period
(the third quarter of 2008 to the third
quarter of 2012), this would amount to
annual growth in business investment
that is about 2 percent slower than
what it would have been had the crisis
not intervened.10
It is worth pointing out that the
debt overhang problem can be elimi-

Normally, a lower level of business fixed
investment can be expected to be partially
offset by an increase in some other component
of aggregate demand (such as higher consumer
spending on durables), and the overall effect on
real GDP would be smaller than that implied by
a 13 percent decrease in business fixed investment alone. But when there is slack in resource
utilization (as evidenced by the current high
unemployment and low capacity utilization
rates), there may not be any offset.

10

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nated if the returns to new investment
can be dedicated solely to new investors. This is not possible if new investors are given equity shares in the firm
because, by law, equity holders cannot
be paid off unless all creditors are paid
off first. In other words, creditors have
a senior claim on the income and assets
of the firm vis-à-vis equity holders. On
the other hand, if the new investment
is debt financed (i.e., the firm issues
debt rather than equity to its new
investors), the debt overhang problem
boils down to whether new creditors
have a senior claim to the income and
assets of the firm vis-à-vis existing
creditors. If they do, the debt overhang
problem again disappears.11 In practice, creditors typically insist that their
claims be senior to the claims of any
future creditor of the firm so that the
debt overhang problem remains even if
the new investment is debt financed.12
The bottom line is that if a firm
has debt outstanding on which there is
a positive probability of default (risky
debt), the presence of that debt lowers the returns to equity owners from
new investment. This is because in
the event of default, all of this new
investment is lost. In this situation,

11
For instance, in the example, suppose that all
of the new investment is financed by new debt.
Since the new investment costs $5, the firm will
owe $105 next period. The probability of default
is still 50 percent, since it will occur only if the
value of assets turns out to be $95. But if the $5
claim of the new investors is senior to the $100
claim of existing creditors, new creditors can be
paid off even in bankruptcy because the value of
the firm’s assets ($95) is sufficient to cover the
$5 claim of new creditors. Given this, new creditors would view the loan as a safe investment
and would presumably go ahead and finance
the investment project. In contrast, if the claim
of new creditors is junior to the claims of existing creditors, they get nothing in the event of
default because the $100 claim of existing creditors will exhaust all of the firm’s assets.

It would take us too far afield to fully explain
the reasons why existing creditors insist on the
seniority of their claims vis-à-vis future creditors. The article by Burcu Eyigungor sheds light
on this issue.

12

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investors would be unwilling to invest
in new projects unless these projects
are very profitable. Consequently, the
rate of growth of business investment
is adversely affected by the presence of
risky debt.
DEBT OVERHANG AND
THE INCREASED VALUE OF
LIQUIDITY
So far, I have considered the
incentives of outside investors (equity
holders or new creditors) to invest in
a new project. However, as we have
seen, the nonfinancial corporate sector is not starved for funds. For debt
overhang to be an explanation for
lackluster investment, we also need to
consider the firm’s incentives to invest
its own funds in the new project.
I will do this by going back to
the example where the future value
of the firm’s assets is uncertain (and
can be either $80 or $110). Imagine
now that the $5 is actually the firm’s
own money, obtained as profits from
current operations. What should the
firm do with it? The top row of Table
1 shows what the firm can get if it
invests its $5 in the new project today.
With a 50 percent probability, the firm
will go bankrupt and all of the return
from the project will be lost, and with
a 50 percent probability, the firm will
survive and the project will return $15.

On average, the new project will fetch
an additional $7.50 tomorrow. This
amounts to an expected rate of return
of (7.50 − 5)/5 × 100 = 50 percent.
This might look like an attractive
return, except that when default is
a possibility, there might be another
strategy that will fetch the owners an
even more attractive return.
Suppose that the firm’s owners
can keep the $5 in the firm as cash
and, in the next period, decide if
they want to pursue the new investment after learning about the value
of their existing assets. The returns
from this strategy are displayed in the
bottom row of Table 1. If the value of
the assets turns out to be $80 (which
happens with a 50 percent probability),
they have $85 on hand. Since they
owe $100, they are bankrupt. At this
point, suppose they are able to take $1
out of the $5 as profits and hand the
firm over to the creditors.13 So, with
a 50 percent probability, the owners

Bankruptcy law makes it illegal for corporations to distribute any dividends in a state of
insolvency. Thus, the example is not to be
taken literally. Rather, it is intended to capture
the fact that owners do have opportunities to
legally take money out of the firm when bankruptcy is probable but not certain. The assumption that only a portion of total cash holdings
can be taken out in this manner acknowledges
the limitations that exist on this type of equity
extraction.

13

TABLE 1

Investment
Strategy

Payoff in
Bankruptcy
(50 percent
chance)

Payoff Outside
of Bankruptcy
(50 percent
chance)

Average
Payoff

Average
Return
(Average Payoff
− 5)/5 * 100

Invest $5 Now

$0

$15.00

$7.50

50 percent

Hold $5 in
Cash & Invest
Tomorrow If
Not Bankrupt

$1.00

$15.00

$8.00

60 percent

Business Review Q2 2013 7

get back $1. If the value turns out to
be $110, they have $115 on hand, and
their assets are worth more than their
liabilities. At this point, they can ask
their creditors to roll over the $100
debt and invest the $5 in the new
investment project and earn $15 in the
following period. So, with a 50 percent
probability, the owners get back $15.
The expected payoff from just hanging on to the $5 as cash today is then
(½) × $1 + (½) × $15 = $8 and the
expected return is (8 − 5)/5 × 100 =
60 percent. Since 60 percent beats 50
percent, the firm’s owners are likely to
be tempted to just keep their profits as
cash in the firm and decide what to do
with it in the next period.
The bottom line is that cash
has the benefit of liquidity: It gives
equity owners the option to take
some of their money out if bankruptcy
becomes more probable. Thus, when
there is a relatively high probability
of bankruptcy, equity owners have
an incentive to delay making real
investments and accumulate cash
with the intention of taking that cash
out as dividends at some point in the
future. This seems consistent with the
evidence. As shown in Figure 8, the
ratio of financial assets to gross value
added in the nonfinancial corporate
sector has risen during this recovery.

To understand his point in the
context of our example, suppose that
the business sector’s collective reluctance to invest increases the probability of the bad outcome (low asset
value) from 50 percent to 60 percent.
Now the “tax” on new investment is 60
percent, and as shown in the top row
of Table 2, the average payoff from investing $5 today declines to $6 and the
average return declines to 20 percent.
The decline in the rate of return would
make outside investors (be they equity
owners or creditors) more reluctant to

DEBT OVERHANG AND
SELF-FULFILLING PESSIMISM
Many current observers of the
U.S. economy hold the view that for
an economy growing slowly from a
depressed state, it does not take much
in terms of some adverse shock to
tip it into a recession. This being the
case, our current slow recovery has
engendered greater pessimism about
the economy’s future growth prospects.
An important point that Lamont
makes in his article is that in the
presence of a debt overhang problem,
pessimism about the future can be selfperpetuating.

Sources: BEA, FRB Flow of Funds, Haver

8 Q2 2013 Business Review

pour new money into the firm. Also,
while the payoff from the “hold on to
cash” option declines to $6.60 and its
rate of return to 32 percent, the difference in the rate of return between
the two strategies widens to 12 percent
from 10 percent. Thus, the strategy of
just hanging on to the cash will seem
even more attractive to business owners.
In sum, an increase in pessimism
(by which we mean a greater probability weight on the bad outcome)
makes the “tax” imposed by the debt

FIGURE 8
Nonfinancial Corporations: Financial Assets
as Share of Gross Value Added
Ratio to Gross Value Added
2.2
2.0
1.8
1.6
1.4
1.2
Last quarter plotted: 2012Q1
1.0

1997

1999

2001

2003

2005

2007

2009

2011

TABLE 2

Investment
Strategy

Payoff in
Bankruptcy
(60 percent
chance)

Payoff in
Bankruptcy
(40 percent
chance)

Average
Payoff

Average Return
(Average Payoff
− 5)/5 * 100

Invest $5 Now

$0

$15.00

$6.00

20 percent

Hold $5 in
Cash & Invest
Tomorrow If
Not Bankrupt

$1.00

$15.00

$6.60

32 percent

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overhang problem higher and retards
business investment even more. Slow
growth in business investment, in turn,
can keep a lid on the speed of economic recovery and makes pessimism about
the future self-perpetuating.
CONCLUSION
Recovery from financial crises
tends to be slow, and one reason for
this is the debt overhang problem.
The declines in asset values that
accompany a financial crisis lower
firms’ net worth. If these firms are

carrying debt, the loss of net worth
brings them closer to default. Debt
overhang occurs when there is a
significant probability that a firm will
go bankrupt in the near future. The
overhang of existing debt reduces
the incentives of new investors to
invest in business capital because,
in the event of default, part of the
return on new investment accrues
to existing creditors. Debt overhang
also increases owners’ incentives to
invest their current profits in financial
assets because these assets are easier

to liquidate when business conditions
deteriorate and bankruptcy becomes
more likely. On both counts, the
rate of investment in business capital
is adversely affected. Thus, debt
overhang is one potential explanation
for why firms have been reluctant to
expand capacity in this recovery. The
macroeconomic consequence of this
reluctance to invest is a slow recovery.
To the extent that a slow recovery
engenders pessimism, it exacerbates
the debt overhang problem.

Hennessey, Christopher A., Amnon Levy,
and Toni M. Whited. “Testing Q Theory
with Financing Frictions,” Journal of Financial Economics, 83 (2007).

Occhino, Filippo, and Andrea Pescatori.
“Debt Overhang in a Business Cycle Model,” Federal Reserve Bank of Cleveland
Working Paper 10-03R (December 2010).

Lamont, Owen. “Corporate Debt Overhang and Macroeconomic Expectations,”
American Economic Review, 85:5 (December 1995).

Philippon, Thomas. “The Macroeconomics of Debt Overhang,” paper presented at
the 10th Jacques Polak Annual Research
Conference, Washington D.C., November
5-6, 2009.

REFERENCES
Chatterjee, Satyajit. “De-Leveraging and
the Financial Accelerator: How Wall
Street Can Shock Main Street,” Federal
Reserve Bank of Philadelphia Business Review (Second Quarter 2010).
Croxson, Karen, Susan Lund, and Charles
Roxburgh. “Working Out of Debt,” McKinsey Quarterly (January 2012).
Eyigungor, Burcu. “Debt Dilution: When It
Is a Major Problem and How to Deal with
It,” Federal Reserve Bank of Philadelphia
Business Review (forthcoming).
Hennessey, Christopher. “Tobin’s Q, Debt
Overhang and Investment,” Journal of Finance, 59:4 (August 2004).

www.philadelphiafed.org

Myers, Stewart, C. “Determinants of
Corporate Borrowing,” Journal of Financial
Economics, 5:2 (October 1977).
Occhino, Filippo. “Is Debt Overhang
Causing Firms to Underinvest?” Federal
Reserve Bank of Cleveland Economic Commentary, 2010-7 (July 2010).

Reinhart, Carmen, and Kenneth Rogoff.
This Time Is Different: Eight Centuries of
Financial Folly. Princeton, NJ: Princeton
University Press, 2009.

Business Review Q2 2013 9

DSGE Models and Their Use
in Monetary Policy*
by Michael Dotsey

he past 10 years or so have seen the
development of a new class of models that are
proving useful for monetary policy: dynamic
stochastic general equilibrium (DSGE)
models. Many central banks around the world, including
the Swedish central bank, the European Central Bank,
the Norwegian central bank, and the Federal Reserve,
use these models in formulating monetary policy. In
this article, Mike Dotsey discusses the major features
of DSGE models and why these models are useful to
monetary policymakers. He outlines the general way
in which they are used in conjunction with other tools
commonly employed by monetary policymakers and
points out the promise of using these models as well as
the pitfalls.

T

The past 10 years or so have witnessed the development of a new class
of models that are proving useful for
monetary policy: dynamic stochastic
general equilibrium (DSGE) models.
The pioneering central bank, in terms
of using these models in the formulation of monetary policy, is the Sveriges
Riksbank, the central bank of Sweden.1 Following in the Riksbank’s footMike Dotsey is
a vice president
and senior
economic policy
advisor in the
Philadelphia
Fed’s Research
Department.
This article is
available free
of charge at www.philadelphiafed.org/
research-and-data/publications/.
10 Q2 2013 Business Review

steps, a number of other central banks
have incorporated DSGE models into
the monetary policy process, among
them the European Central Bank,
the Norge Bank (Norwegian central
bank), and the Federal Reserve.2
This article will discuss the major
features of DSGE models and why
these models are useful to monetary
policymakers. It will indicate the
general way in which they are used in
1
See the article by Malin Adolfson and coauthors.
2
Examples of these models can be found in
Smets and coauthors; Bruback and Sveen; and
Chung, Kiley, and Laforte.

*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.

conjunction with other tools commonly employed by monetary policymakers. These other tools include
purely statistical models, often not tied
to any particular economic theory, but
instead are solely based on historical
regularities found in the data. Such
tools also include large macroeconomic
models that contain many sectors of
the economy but generally do not place
many theoretical restrictions on the
interrelationships between the various
economic sectors. Other tools include
economic surveys of consumers, firms,
or forecasters, as well as policymakers’
own expertise.
These other tools provide valuable
insights into the state of the economy
that complement the insights derived
from explicit theoretical models, which
account for important interactions between sectors of the economy. Together, the various modeling approaches
comprise the toolkit that policymakers
commonly rely on. This article will
concentrate on DSGE models, which
share the strengths of many theoretically grounded models but are designed
with the intention of providing forecasts and identifying the key drivers
of current economic activity. In doing
so, I will point out the promise of this
modeling strategy as well as its pitfalls.
Economic models, in general,
provide valuable guidance when formulating monetary policy. Because
the economy is so complex and key
economic components are intertwined,
it is necessary to develop frameworks
that capture these interrelationships.
In order to capture, say, the effect that
an increase in productivity has on
consumption, we must have a model
that incorporates the behavior of many
www.philadelphiafed.org

variables, such as income, investment,
labor supply, and consumption, if we
are to understand this effect. Simply
looking at one equation that attempts
to only model consumption is likely to
produce an incomplete and misleading interpretation. Thus, a model that
integrates many economic components
is necessary for understanding and
predicting economic behavior.
However, because all models are
approximations of actual economic
behavior, it is often useful to combine
the insights from a number of models
along with statistical forecasts and the
individual experience of policymakers.
That is generally what many central
banks do, and DSGE models are increasingly becoming a part of policymakers’ toolkits.
AN OVERVIEW
OF DSGE MODELS
DSGE models are small to medium size economic models that incorporate the major sectors of the economy
into a coherent and interrelated whole.
They are general equilibrium in nature, meaning that prices and interest
rates adjust until supply equals demand
in every market. In particular, the
demand for goods equals the supply of
goods, the demand for assets equals
the supply of assets, and the demand
for labor equals the supply of labor.
Further, these models include a
private sector composed of households
and firms, as well as a public sector
made up of a government fiscal authority and a central bank. A distinguishing feature of these models is that consumers and firms in the model make
decisions that maximize welfare and
profits, respectively. Individuals make
decisions about consumption and labor
supply that maximize their economic
well-being subject to constraints based
on their wealth. For instance, individuals in the model cannot consume more
than they can afford. Firms set prices
that maximize profits and demand facwww.philadelphiafed.org

tors of production, such as labor and
capital, in ways that minimize their
costs. This depiction of behavior places
restrictions on the actions of firms,
households, and the government in the
model, and the validity of these restrictions can be formally tested. Doing so
allows model builders a way of analyzing the strengths and weaknesses of
the underlying theory. Model restrictions that are not consistent with
economic data indicate a weakness
that calls for further development of
the model. When various restrictions
are consistent with the data, we can
have more confidence in the model. It
is safe to say that no model has been
developed that is consistent with all

structure imply that each of these types
of shocks has very different implications for the economic predictions of
the model, and the estimation of the
model places weights on each type of
disturbance that allows the model to fit
the data as best as possible.
Finally, the models are inherently
dynamic. Current behavior does not
depend only on the current economic
climate but also on anticipation of
what the future holds. For example,
firms’ hiring and investment decisions depend on whether they believe
that economic demand will be weak
or strong in the future, not just on
current demand conditions. This dynamism implies that expectations of

DSGE models are small to medium size
economic models that incorporate the major
sectors of the economy into a coherent and
interrelated whole.
features of the actual economy, but
great strides have been made, and the
underlying methodology incorporated
into the development of these models
makes further improvements likely.
The models are also stochastic,
meaning that they incorporate the
random components that play an important role in explaining the cyclical
behavior of the economy. Common disturbances include shocks that change
consumer demand, shocks that influence the behavior of financial markets,
and changes in economic productivity
that affect the efficiency of production.
What is key to the DSGE paradigm
is that these shocks can be estimated
as can the proportions of changes in
economic activity that are due to a
particular disturbance. For instance,
we may ask what part of the latest
recession was due to financial shocks
as opposed to changes in productivity
or fiscal policy shocks. The restrictions imposed on the model’s economic

the future play an important role, and
although such an assumption is not
required, most DSGE models assume
that the actors in the model — individuals and firms — form expectations
that are consistent with the underlying
theoretical framework of the model.
This does not imply that households
and firms perfectly anticipate future
outcomes but that, on average, they do
not make systematic errors. This type
of expectations formation is referred
to as “rational expectations,” and it
is a common feature of a broad set of
economic models.
Combining these ingredients —
the use of explicit maximizing behavior that is also dynamic in nature and
forward-looking rational expectations
— makes the output of DSGE models,
whether that output is an economic
forecast, the results of a policy experiment, or the analysis of the sources of
economic fluctuations, readily interpretable in terms of economic theory.
Business Review Q2 2013 11

Thus, DSGE models paint a coherent
picture with respect to a host of issues
that are of interest to policymakers.
MAKING THE MODELS
OPERATIONAL
All of the relationships that
govern the economic behavior of any
DSGE model include parameters, and
these parameters must be assigned values before the model can be used. For
instance, we need to know how much
individuals value current consumption relative to future consumption in
order to understand their consumption
and saving decisions. The parameter
that governs that aspect of behavior is
called a discount factor, and it must be
given a specific value. Also, we need to
understand the costs associated with
a firm’s adjustment of its capital stock
if we are to understand investment behavior, and there are parameters that
govern the magnitude of these costs.
They too must be either calibrated or
estimated. Generally, the models are
estimated using historical data because
it is not obvious what the appropriate
values of many of the parameters are.
Furthermore, estimation allows us to
establish the uncertainty surrounding
any particular parameter value. That,
in turn, allows us to better understand the uncertainty inherent in the
predictions of the model. Thus, all the
mathematical relationships that govern
the economic behavior of any DSGE
model include parameters that require
estimation.
Usually, the estimation is done
using a methodology called Bayesian
statistics, which allows the user to incorporate prior knowledge of the economy. For example, this information
may come from microeconomic studies
and thus may contain information that
is not formally part of the model but
is nonetheless useful for gauging the
likely value of the model’s parameters.
For example, microeconomic evidence
on how frequently firms adjust their
12 Q2 2013 Business Review

prices is helpful information in estimating the price-setting parameters of
the typical DSGE model.
Estimation also pays dividends.
One outgrowth of statistical estimation is that it allows us to characterize the data uncertainty surrounding
the parameter estimates. Are we fairly
certain of a given parameter’s value,

erty for policymakers to understand in
using economic models for informing
particular policy actions.
Therefore, it is useful to look at
the implications of a number of models
in order to compare the performance
of different theories and evaluate
which particular ways of thinking
about the economy lead to a bet-

Using a number of different models allows
economists and policymakers to ascertain the
extent of model uncertainty, which involves the
uncertainty that arises because all economic
models are approximations of behavior, and
no model accurately captures all facets of
economic activity.
or could that parameter take values
that span a wide range? The estimation also allows us to capture the
uncertainty surrounding the economic
forecasts, as well as the uncertainty
surrounding the results regarding the
likely consequences of using an alternative monetary policy.
Further, using a number of different models allows economists and
policymakers to ascertain the extent
of model uncertainty, which involves
the uncertainty that arises because all
economic models are approximations
of behavior, and no model accurately
captures all facets of economic activity. Thus, different models analyzing the same question will come up
with different implications, and as a
result, there is uncertainty about those
implications. Along with this type of
uncertainty, there is uncertainty that
characterizes each particular model
because the parameters of each model
are estimated and not known exactly.
Economists are, in general, more
uncertain about their models than
they are about the parameters of any
particular model, making the degree of
model uncertainty an important prop-

ter understanding of actual behavior.
Thus, examining model uncertainty
is an important part of analyzing the
output of DSGE exercises, since like all
economic models, DSGE models are,
to some extent, misspecified. Comparing the output of many DSGE models
sheds light on the confidence we have
in any particular implication of the
models as a whole. Hence, looking at
a number of different models helps
policymakers assess the risk of any particular viewpoint based on a particular
model. As indicated in the June 2011
minutes of the Federal Open Market
Committee meeting, DSGE models are
being studied by staff members at the
Board of Governors and at the Federal
Reserve Banks of Chicago, New York,
and Philadelphia. If models that differ
along various dimensions all point to
the same conclusion, the policymaker
can be more reassured about the outcome of a particular decision.
A MORE DETAILED DEPICTION
OF A BASIC MODEL
The structure of a basic DSGE,
namely, the model developed by staff
members at the Federal Reserve Bank
www.philadelphiafed.org

of Philadelphia, is displayed in the figure.3 The model is nicknamed PRISM,
which stands for Philadelphia Research
Intertemporal Stochastic Model. As is
true of much of the DSGE modeling
framework, the foundations are based
on New Keynesian economics, which
explicitly models various forms of price
and wage rigidity thought to be an
integral part of a modern economy’s
structure. The firms in PRISM employ
workers and rent capital in order to
produce goods, and they do so in a
manner that minimizes the cost of
producing output. Production is also
subject to productivity shocks. Firms
also enjoy some monopoly or pricing

3
The features described are fairly similar across
first-generation DSGE models. Current model
development has proceeded along a number of
lines, of which the most important are the addition of more sophisticated financial markets and
more detailed depictions of labor markets using
search theory. In terms of models employed at
various central banks, the model developed by
the Federal Reserve Bank of New York and one
of the models used by the European Central
Bank include separate financial sectors.

power, and they set prices in order to
maximize profits over time. The price
of each good is adjusted at randomly
selected intervals, with only a subset
of firms adjusting their prices at any
point in time.4 Thus, the price level is
sticky, which means that it does not
adjust instantaneously to economic
disturbances. The particular pricing
behavior that maximizes economic
profits over time is one in which firms
reset their prices as a markup over a
weighted average of current and future
marginal costs. Price rigidities are an
important feature of the model and are
an important element in aligning the
model with the data.
While the production function,
which indicates the amount of output
that can be produced by combining
labor and capital, can be viewed as unaffected by changes in monetary policy
— independent of the level of interest
rates, the same amount of machines

4

This framework is based on Calvo.

FIGURE
PRISM
Households

Labor
and
Capital

Taxes

Output

Output

Firms

www.philadelphiafed.org

Fiscal Policy
Monetary Policy

Government, Fed

and workers produce the same amount
of output — it is questionable whether
the price-setting mechanism enjoys
that property. For example, as inflation
changes, we would expect the frequency with which prices are changed
to vary as well, but this behavior is not
part of the theoretical pricing mechanism in the model.
Along with a productivity shock,
firms’ decisions are influenced by
shocks to the markup of price over
marginal cost. We may think of this
type of shock as a random variation in
a firm’s market power, perhaps influenced by the random inflow and outflow of the number of competing firms.
Households in the model own
the firms and the capital stock. They
choose how much to consume and
invest as well as how much labor to
supply. Importantly, the function that
specifies how consumption is valued
involves habit persistence, meaning
that consumers value their current
level of consumption relative to previous levels of consumption. This implies
that consumers value a given level of
consumption differently depending
on whether that level was less than or
greater than the amount of consumption they experienced in the past. If
that level of consumption corresponds
to a relatively high amount, then the
consumer is happier than if it corresponds to a relatively low amount. This
aspect of behavior turns out to be a
relatively important ingredient for the
model’s ability to generate the type of
economic persistence that is typically
found in U.S. economic data.
Unlike the choice of consumption, which is fairly standard, the labor
supply decision in PRISM is much
different than is typically used in basic real business cycle models. These
models view labor markets as purely
competitive, but in PRISM and most
DSGE models, households are viewed
as being able to influence wages in
much the same fashion that firms set
Business Review Q2 2013 13

prices. They then supply all the labor
demanded by firms at that wage. As is
the case with prices, only a subset of
wages is adjusted in any period, and
the average wage is thus sticky.
The evolution of the capital stock
is also determined by households’ investment decisions, and the accumulation of capital is subject to adjustment
costs such as those that accompany the
installation of new equipment. These
costs are also random and affect the
efficiency of investment. The more
costs associated with adjusting the
capital stock, the less new capital is
obtained from any particular level of
investment. This shock can be given
a financial interpretation (see the article by Alejandro Justiniano, Giorgio
Primiceri, and Andrea Tambalotti). In
particular, when the financial system is
not operating efficiently, it is more difficult for firms to purchase investment
goods, and the allocation of investment also becomes less efficient. The
authors show that a shock to the efficiency with which firms transform investment into increases in the stock of
capital is highly negatively correlated
with the interest premiums charged to
firms, and these premiums are related
to financial constraints.
Another common random disturbance that influences households’
decisions involves shocks to the rate of
time preference. This shock affects the
degree to which households are willing
to sacrifice current consumption and
thereby increase saving, which then
allows the household to consume more
in the future. As a result, shocks to the
rate of time preference can be important in generating differential growth
patterns in consumption and investment. Shocks to the value of leisure
(which affect labor supply) are also
featured in PRISM and most DSGE
models. Shocks to leisure are intended
to capture any imperfections in labor
markets beyond those involving wage
rigidity.5
14 Q2 2013 Business Review

As is true with most current
DSGE models, PRISM contains a
nonproductive government sector that
consumes resources, but that is generally the extent to which fiscal policy is
incorporated into the model. Monetary
policy is modeled as a simple Taylor
rule in which interest rates respond to
inflation relative to target, an output
gap, and the past setting of the interest
rate. The output gap in PRISM is the
difference between current output and
the output that would occur in the

and inflation. The shock reflects these
deviations of actual policy from the
Taylor rule.
Model development is ongoing,
and although many models, including
those being studied by staff at various
Reserve Banks and the Board, share
most of the above features, they do differ along many dimensions. Thus, the
field of DSGE modeling provides a rich
set of models, which unsurprisingly
often present different interpretations
of economic events.

As is true with most current DSGE models,
PRISM contains a nonproductive government
sector that consumes resources, but that is
generally the extent to which fiscal policy is
incorporated into the model.
absence of any economic disturbances.
That is, it is the difference between
current output and its trend. In this
regard, we find differences across various DSGE models, with some going
so far as to construct gaps based on
statistical procedures similar to those
employed in actual statistical measures
of the gap.6 The Taylor rule also specifies a gradual adjustment of policy to
movements in inflation and the gap
and is also subject to a random disturbance to monetary policy. In reality,
the conduct of monetary policy is more
nuanced than the behavior specified
in the Taylor rule, with policymakers reacting to more than just output

5
Although shocks to the wage markup are not
present in PRISM, most DSGE models feature
such shocks, which affect the costliness of labor.
6
For a detailed discussion of various ways that
output gaps are measured, see the Business
Review article by Roc Armenter and the study
by Michael Kiley. A particular DSGE model
that calculates a statistically based output gap is
the DSGE model being developed by staff at the
Chicago Fed (see the article by Charles Evans
and coauthors).

USES OF THE MODELS
IN MONETARY POLICY
Once a DSGE model is estimated,
it can be used to provide economic
forecasts and to identify the disturbances that are driving the forecast.
All central banks find it important to
forecast economic activity when arriving at a policy decision, and to that extent, these models provide another forecasting platform. Regarding the quality
of the forecasts made with DSGE models, they are generally of similar quality
to forecasts based on other types of
forecasting methods or forecasts that
are more judgmental in nature.7 For
example, a 2012 study by Marco Del
Negro and Frank Schorfheide indicates
that, at short horizons (one quarter),
DSGE models do about as well as purely
statistical procedures when forecasting
output and inflation, but at horizons of
one year, they do somewhat better. This

However, forecasts that use various model
restrictions in forming priors still generally outperform those from DSGE models (see the 2004
study by Del Negro and Schorfheide).

7

www.philadelphiafed.org

is also the message of the study by Maik
Wolters, who additionally shows that
taking forecast averages across various
DSGE models can improve their forecasting performance.
The models can also be used to
benchmark policy, since one of their
forecasts is for the behavior of interest
rates. Also, standard error bands can
be placed around the forecasted path
of the interest rate, allowing policymakers to perceive the likelihood of
a particular benchmark path. The
Riksbank employs its DSGE model for
this purpose.
A relative strength of the DSGE
framework lies in its ability to identify shocks. For example, many DSGE
models identify shocks associated with
the impairment of financial markets
as being primarily responsible for the
most recent recession and the current
slow recovery. Identifying the most
important shocks in any given economic episode is particularly important
for a monetary policymaker, since the
optimal response to demand shocks is
often much different than the optimal
response to supply shocks. Thus, it is
important to identify what types of
economic disturbances are affecting
the economy if a policy decision is to
be a fully informed one.
DSGE models are also used to explore the effects of alternative policies.
Because all the sectors of the model
are formally linked together, along
with the assumption that the estimated parameters are invariant to changes
in policy, we can carry out policy exercises that are easily interpreted.8 For
example, we can analyze the effects of
policies following alternative interest
rate paths, paths that differ from the
model’s forecasted path. Further, we

8
Formally, this means that the models are,
in principle, not subject to Lucas’s famous
critique regarding the inappropriateness of using
relationships that are not based on a theoretical
structural model to analyze policy changes.

www.philadelphiafed.org

can ask what the models predict if a
disturbance was somewhat larger than
estimated or if it were to turn out to be
more long-lived than usual. Doing so
lets policymakers gauge risks associated
with particular economic events.
SOME WEAKNESSES
OF THE MODELS
My overview would be incomplete if I did not point out some of the
inherent weaknesses of the current
generation of DSGE models. Perhaps
the most important is model misspecification. Currently, many of the
restrictions imposed by the various
DSGE models are at odds with the
data. For example, the models specify
that, in the long run, variables such
as consumption, output, investment,
and wages all grow at the same rate,
which is somewhat at odds with the
data. One outgrowth of this type of
misspecification is that many of the
economic disturbances in the model
must be very persistent in order to

A relative strength of
the DSGE framework
lies in its ability to
identify shocks.
align the model with the data. Incorrect estimation of the disturbances
can affect the implications for how the
economy would react to a change in
monetary policy. In a 2009 paper, Del
Negro and Schorfheide show that if
the estimated DSGE model attributes
too much persistence to productivity shocks, it implies that controlling
inflation would involve a monetary
policy that responds overly aggressively to departures of inflation from
target. That would not be the case if
the productivity disturbance was less
persistent. Thus, when policymakers
are deciding the best way to respond
to departures of inflation from target,

model misspecification can lead to an
incorrectly designed policy.
Also, because none of the models
are literally true, they do not present a
totally accurate depiction of the economy. However, looking at the output of
various models can help to clarify the
extent of that misspecification.
Of greater significance is the fact
that some of the behavioral relationships in the models are not really
invariant to monetary policy. As mentioned, the price-setting mechanism
precludes changes in price-setting
behavior at different inflation rates.
Thus, policies that affect the behavior of inflation are likely to affect the
actual economy in ways that the model
cannot capture. Thus, the implications drawn from the model may not
be entirely accurate. This problem is
less severe if the variation in inflation
associated with an alternative policy is
not very large, but the model’s prediction will be less reliable if the variation
in inflation is significant. Thus, when
analyzing alternative policies, policymakers should have more confidence
in the model’s prediction when the
alternative is closer to actual policy.
Furthermore, issues concerning
the identification of various parameters sometimes arise. By that I mean an
occurrence when the data are not particularly informative about the value of
a parameter. In that case, the estimated value of the parameter will reflect
only the modeler’s prior belief about
the parameter no matter what that
prior belief happened to be. Hence,
very little is actually known about the
parameter. In cases like this, we need
to be particularly careful when assessing predictions of the model, especially
if the parameter in question has an
important effect on those predictions.
Finally, the models often lack important sectors, such as a sophisticated
financial sector, and, as mentioned,
the modeling of fiscal policy is quite
simplistic. These problems are not
Business Review Q2 2013 15

methodological, but they indicate that
there is room for continuing evolution
in this field of research.
SUMMARY
This article has outlined the basic
structure of a new class of models,
DSGE models, which are currently being used to aid monetary policymakers
in many countries. They have proven
useful in forecasting, in identifying
key elements that are affecting the
economy, and for conducting counterfactual experiments that can help
policymakers understand both the
likely outcomes and the uncertainty

surrounding the outcomes of various policy experiments. Thus, these
models are an important element of a
policymaker’s toolkit. They provide a
coherent and internally consistent way
of viewing the economy.
The article has also pointed out
some of the problems that currently
exist within this class of models. It is
important to understand that these
problems are not methodological, but
rather they reflect the current state of
the models. Development is ongoing,
and many of the problems are currently
being addressed in the next generation
of models.

Given the relative strengths and
weaknesses of current DSGE models,
they should be used in conjunction
with other forecasting methodologies
and other models in combination with
other information and expertise that
policymakers bring to the table. Indeed, that is the way they are actually
being used by central banks around
the world.9

For an excellent and detailed discussion of
how DSGE models are used in the context of
monetary policy at the Sveriges Riksbank, see
the speech by Irma Rosenberg.
9

REFERENCES
Adolfson, Malin, Stefan Laseen, Jesper
Linde, and Mattias Villani. “RAMSES
— A New General Equilibrium Model
for Monetary Policy Analysis,” Sveriges
Riksbank Economic Review, 2 (2007), pp.
5-40.
Armenter, Roc. “Output Gaps: Uses and
Limitations,” Federal Reserve Bank of
Philadelphia Business Review (First Quarter
2011).
Bruback, Lief, and Tommy Sveen. “Nemo
— A New Macro Model for Forecasting
and Policy Analysis,” Norges Bank
Economic Bulletin, 80:1 (2009), pp. 39-47.
Calvo, Guillarmo. “Staggered Contracts in
a Utility-Maximizing Framework,” Journal
of Monetary Economics, 12 (September
1983), pp. 383-98.
Chung, Hess T., Michael T. Kiley, and
Jean-Pierre Laforte. “Documentation
of the Dynamic Estimation-Based
Optimization (EDO) Model of the
U.S. Economy: 2010 Version,” Federal
Reserve Board Finance and Economic
Discussion Series, 2010-29 (May 2010);
http://www.federalreserve.gov/pubs/
feds/2010/201029/201029pap.pdf.

16 Q2 2013 Business Review

Del Negro, Marco, and Frank Schorfheide.
“DSGE Model Based Forecasting,” Federal
Reserve Bank of New York Staff Report
554 (March 2012).
Del Negro, Marco, and Frank Schorfheide.
“Monetary Policy Analysis with Potentially
Misspecified Models,” American Economic
Review, 99:4 (September 2009), pp. 141550.
Del Negro, Marco, and Frank Schorfheide.
“Priors from General Equilibrium Models
for VARs,” International Economic Review,
45:2 (2004), pp. 643-73.
Evans, Charles L., Jonas D.M. Fisher,
Jeffrey R. Campbell, and Alejandro
Justiniano. “Macroeconomic Effects of
Forward Guidance,” Brookings Papers on
Economic Activity (2012).
Federal Reserve Bank of Philadelphia.
PRISM (DSGE Model); http://www.
philadelphiafed.org/research-and-data/realtime-center/PRISM/.

Kiley, Michael. “Output Gaps,” Federal
Reserve Board Finance and Economics
Discussion Series 2010-27 (2010).
Lucas, Robert. “Econometric Policy
Evaluation: A Critique,” in K. Brunner
and A. Meltzer, eds., The Phillips Curve and
Labor Markets. North-Holland, 1975.
Rosenberg, Irma. “The Monetary Policy
Decision Process,” speech given at the
Riksbank, Stockholm, June 13, 2008.
Smets, Frank, Kai Christoffel, Guenter
Coenen, Roberto Motto, and Massimo
Rostagna. “DSGE Models and Their
Use at the ECB,” Journal of the Spanish
Economic Association (February 2010), pp.
51-65.
Wolters, Maik, “Evaluating Point and
Density Forecasts of DSGE Models,”
unpublished manuscript (March 2012).

Justiniano, Alejandro, Giorgio Primiceri,
and Andrea Tambalotti. “Investment
Shocks and the Relative Price of
Investment,” Review of Economic Dynamics,
14:1 (2011), pp. 102-21.

www.philadelphiafed.org

The Diverse Impacts of the Great
Recession*

T

BY Makoto Nakajima

he Great Recession had a large negative
impact on the U.S. economy. Asset prices,
most notably stock and house prices, declined
substantially, resulting in a loss in wealth
for many American households. In this article, Makoto
Nakajima documents how diverse households were
affected in a variety of dimensions during the Great
Recession, in particular between 2007 and 2009, using
newly available data from the 2007-2009 Survey of
Consumer Finances. He discusses why it is important to
look at the data on households, rather than focusing on
the aggregate data, and he reviews some recent studies
that look at the recession’s diverse effects on different
types of households.

The Great Recession, which
began in December 2007, had a large
negative impact on the U.S. economy.1
According to a recent study by Em-

manuel Saez, average family income
(excluding capital gains) dropped by 17
percent between 2007 and 2009. Average income recovered slightly in 2011,

1
In this article, I do not explain why stock prices and house prices dropped significantly during
the Great Recession. Some economists, including Andy Glover, Jonathan Heathcote, Dirk

Krueger, and Jose-Victor Rios-Rull, argue that
shocks to economic productivity or demand
spilled over to the stock and housing markets.
Nobuhiro Kiyotaki, Alexander Michaelides,
and Kalin Nikolov analyze how such shocks
to the economy become amplified and have a
large impact on asset prices. Other hypotheses
exist. For example, Roger Farmer argues that
changes in the beliefs of the market caused the
decline in housing and stock markets, which
spilled over to the rest of the economy. Ulf von
Lilienfeld-Toal and Dilip Mookherjee argue that
the consumer bankruptcy law reform in 2005
triggered the decline in house prices.

Makoto
Nakajima 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/working-papers/.
www.philadelphiafed.org

*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.

but it was still 16 percent lower than
income in 2007. A significant part of
the decline in income was caused by a
rise in the unemployment rate. Figure
1 shows how the unemployment rate
and average income changed during
the Great Recession. The unemployment rate surged, from 4.7 percent in
the fall of 2007 to 10 percent at its
peak in October 2009.
Asset prices, most notably stock
and house prices, declined substantially during the Great Recession. This
decline in asset prices caused a loss in
wealth for many American households.
As for stock prices, Figure 2 shows that
the S&P 500 dropped from 1,496 in
the last quarter of 2007 to 808 in the
first quarter of 2009, before recovering
to around 1,400. The figure also shows
how house prices declined. The average house price in 20 major metropolitan areas dropped by 34 percent from
its peak in 2006 and has remained low
since then.2
In this article, I will document
how diverse households were affected
in a variety of dimensions during the
Great Recession, in particular between
2007 and 2009, using newly available
data from the 2007-2009 Survey of
Consumer Finances (SCF). The SCF
provides detailed information on the
finances of U.S. households, and the
special panel data allow us to compare
the same respondents between 2007
and 2009. While we might also like to
compare the fate of households over
the boom period before the Great Recession, the panel data from the SCF

The Case-Shiller Composite-20 index is used.
The Case-Shiller national house price index fell
similarly.

2

Business Review Q2 2013 17

are not available before 2007.3
Why is it important to look at

data on households instead of focusing
on the aggregate data? Although the

The regular Survey of Consumer Finances
(SCF) has been conducted every three years
starting in 1983 to provide detailed information
on the finances of U.S. families. Data from the
SCF are widely used in economic analyses. In
the most recent survey, about 6,500 families
were interviewed. Usually, the regular SCF does
not follow the same households across different

surveys. However, families who participated in
the 2007 survey were reinterviewed in 2009 in
order to capture how those households had been
financially affected by the Great Recession.
The paper by Jesse Bricker, Brian Bucks, Arthur
Kennickell, Traci Mach, and Kevin Moore summarizes the results of the 2007-2009 SCF.

3

FIGURE 1
Average Income and Unemployment Rate
U.S. dollars in 2010
65,000

Percent
11.0
10.0

60,000

9.0
8.0

55,000

7.0
6.0

50,000

5.0
Unemployment rate (right axis)
Average income (left axis)

45,000

4.0
3.0

2007

2008

2009

2010

Year

Source: Saez (2012) and Bureau of Labor Statistics

FIGURE 2
Stock Market and House Price Indexes
Index

Index (2006 Q1=100)
110

1,600

S&P 500 (left axis)
Case-Shiller Home Price Index (right axis)
1,400

100

1,200

90

1,000

80

800

70

60

600

2006

2007

2008

2009
Year

Source: Standard & Poor’s
18 Q2 2013 Business Review

2010

2011

2012

fall in average family income and the
decline in asset prices were large, behind the headline numbers, the effects
of the Great Recession varied greatly
across households. One reason is that
different households suffered different degrees of income loss. Moreover,
different households were affected differently by the decline in asset prices
because households differed in the
amount and composition of wealth
when the Great Recession started. For
example, a household in Las Vegas
(where the house price index has
declined by 62 percent since 2006)
that owned a house and invested most
of its assets in stocks suffered a larger
loss in wealth than another household that was renting in Dallas (where
the house price index declined by 6
percent) and kept most of its assets in
bank accounts. Differences in income
and wealth at the time of the Great
Recession are also tied, in part, to
households having different earnings
histories as well as different choices for
saving and investment.
In response to the severe recession, economists have been trying
to better understand the recession’s
diverse effects on different types of
households, and I will review some
recent studies. It is easy to understand
that households that suffered a larger
loss of income or portfolio values suffered greatly from the recession. However, Wenli Li and Rui Yao argue that
when house prices decline, younger
renters benefit because they could
buy houses at cheaper prices. On the
other hand, older homeowners, who
tend to be sellers of houses, suffer from
a decline in house prices. As Glover
and coauthors note, such an effect
was stronger during the Great Recession because the prices of houses and
financial assets fell significantly. They
investigate how the welfare of different
types of households has been affected
differently by the Great Recession. On
the other hand, Sewon Hur argues that
www.philadelphiafed.org

young households might not be able to
seize the opportunity to buy housing
and other assets at depressed prices
because young households typically do
not have a lot of savings with which to
buy assets, and it is difficult to borrow,
especially during recessions.
LIFE CYCLE AND WEALTH
BEFORE THE GREAT
RECESSION
Before looking into how different households have been affected by
the Great Recession, let’s look at how
households differed on the eve of the
Great Recession. As you can see in
Figure 3, there were more households
whose heads were in their 40s and 50s
in 2007 than in other age groups.
Net wealth (which is the sum
of all assets, including the value of
houses, net of the sum of all debts) differs over one’s life cycle. It is relatively
low for young households but keeps
increasing during the working life of
households, up to around age 65, and
declines after retirement. We can
see such a pattern in Figure 4. Why
does the life cycle profile look like
this? Franco Modigliani and Richard
Brumberg provide a simple theory of
the life cycle of a household.4 Young
households, whose income is limited, spend most of their income for
consumption expenditures, leaving
little savings to accumulate wealth.
However, as households age and their
income increases, they start saving to
prepare for retirement. Figure 4 shows
that both wealth and income go up
for households between their 20s and
50s. Saving for retirement is desirable
because after retirement, income is
typically lower than it is during middle
age, when income is typically the highest over the life cycle. Households do
not want to have less money to spend

after retirement. After retirement,
households use their savings to supplement their (lower) income, gradually
reducing savings.
The composition of wealth also
shows a distinctive pattern over the life
cycle. Let’s start with housing. Figure 5

shows the proportion of households in
each age group with a positive amount
of housing assets, stocks, and businesses. The homeownership rate was 71
percent in 2007 overall, but it was only
28 percent for households in their 20s.5
The homeownership rate increases to

FIGURE 3
Proportion of Households
in Different Age Groups in 2007
Proportion
0.25
0.20
0.15
0.10
0.05
0.00
20s

30s

40s

50s

60s

70+

Age

Source: Survey of Consumer Finances, 2007-09

FIGURE 4
Income, Housing, and Total Wealth
of Households in 2007
U.S. dollars in 2009
300,000
250,000

Median income
Median wealth
Median housing assets

200,000
150,000
100,000
50,000
0
20s

30s

40s

50s

60s

70+

Age

Satyajit Chatterjee’s Business Review article
provides a more detailed explanation of the
theory.

4

www.philadelphiafed.org

Source: Survey of Consumer Finances, 2007-09

Business Review Q2 2013 19

67 percent for households in their 30s
and reaches 87 percent for those in
their 60s, before shifting down to 83
percent for those above 70. We can see
the hump-shaped pattern in Figure 5.
The proportion of wealth invested in
housing assets (shown in Figure 6) is
also hump shaped, but the peak comes
much earlier than it does for wealth
or the homeownership rate. Figure 6
shows the portfolio allocation grouped
by different types of assets of households with median wealth.6 All values
of assets and debt are normalized by
the wealth holdings of the median
households. For example, the value of
housing assets for median households
in their 20s is 1.63, which implies that
the value of housing assets of the median households is 163 percent of the
value of the wealth of these households. Debts are shown in negative
value. “Safe assets” include all assets
except housing, stocks, and businesses,
e.g., checking and saving accounts,
U.S. Treasury bills, and saving bonds.
Therefore, for each age group, the sum
across all assets and debts is one. In
other words, if the bar in Figure 6 is
stretched long, it means the groups of
households are taking a leveraged position, by borrowing and using the extra
money to have more assets.
What can we see in Figure 6?
First, the proportion of wealth invested
in housing increases between the 20s
and the 30s and declines after that.
Second, households in their 20s and
30s borrow significant amounts com-

pared with their wealth holdings. In
other words, these young households
are highly leveraged.
Let’s go back to the comparison
between Figure 5 and Figure 6. The
homeownership rate picks up between
the 20s and the 30s because, by then,

more households have accumulated
enough wealth to make a down payment. When these households purchase their first house, many of them
have to invest most of their wealth in
home equity in the form of a down
payment. That’s why the proportion

FIGURE 5
Percentage of Households with Homes, Stocks,
and Businesses
Percentage
100
80

Homeownership rate
Stock ownership rate
Business ownership rate

60
40
20
0
20s

30s

40s

50s

60s

70+

Age

Source: Survey of Consumer Finances, 2007-09

FIGURE 6
Portfolio Allocation by Median Households
(relative to total value of wealth)
Proportion relative to net wealth
4
3
2
1

The homeownership rate remained stable at
around 64 percent between 1965 and 1995, before rising to around 70 percent. However, the
hump-shaped pattern described in the article
remained stable. Matthew Chambers, Carlos
Garriga, and Don E. Schlagenhauf investigate
reasons behind the increase.

5

Instead of looking at the single household with
median wealth, I take the average of households
in the middle quintile (between 40 and 60 percent when ranked by wealth holdings). By doing
this, I can avoid the situation that the results
are affected by the behavior of one household.
See the next footnote as well.

6

20 Q2 2013 Business Review

0
Safe asset
Debt
Business
Stock
Housing

-1
-2
-3
20s

30s

40s

50s

60s

70+

Age

Source: Survey of Consumer Finances, 2007-09

www.philadelphiafed.org

of wealth invested in housing peaks
for households in their 30s. However,
after households buy their first house,
they repay the mortgage and start
accumulating financial assets, which
decreases housing assets as a proportion of household wealth. As we can
see in Figure 6, for median households
in their 20s to 40s, the average value of
housing assets is higher than the value
of their net wealth. As households
continue to accumulate wealth for
retirement, the proportion of the value
of housing assets included in households’ wealth keeps shrinking. In other
words, households keep deleveraging.
The proportion of households
with a positive amount of stocks (including directly held stocks as well as
those held indirectly through mutual
funds, retirement funds, etc.) is also
hump shaped, as in Figure 5. The
proportion is 37 percent for households
in their 20s, peaks at 64 percent for
households in their 50s, and then goes
down to 44 percent for households
in their 70s. Why is it hump shaped?
Annette Vissing-Jorgensen argues that
many households do not hold stocks
because of the costs of participating
in the stock market. Since younger
households tend to have lower wealth,
they tend to stay away from the stock
market because the cost of participation is too high for the small gain that
households expect from investing in
the stock market. Young households
also want to use their money to own
housing rather than to invest in stocks.
On the other hand, older households
withdraw from the stock market to
reduce their exposure to risky assets.
In terms of the proportion of wealth
invested in stocks, the size is relatively
small, as seen in Figure 6. Average
households invest relatively small
proportions of their wealth in stocks.
For example, the proportion is about
15 percent for median households in
their 30s to 50s and 10 percent among
households in their 60s.
www.philadelphiafed.org

The proportion of households that
have an equity interest in a privately
held business also exhibits a hump
shape, as shown in Figure 5. Among
households in their 20s, only 6 percent
have business equity, while the proportion is highest among households in
their 60s, at 17 percent. The proportion is 5 percent for households age
70 and above. I will come back to the
wealth allocated to businesses in the
next section, since investment in business is closely related to large wealth
holdings. Figure 6 shows that the proportion of wealth invested in businesses by median households is less than 5
percent for all age groups.
RICH AND POOR ON THE EVE
OF THE GREAT RECESSION
There are large differences across
households if we look at them in different quintiles of wealth distribution.7
As shown in Figure 7, the amount of
assets held by households in different
quintiles of the wealth distribution
differed significantly in 2007. The
median wealth holding of the wealthiest 20 percent was $972,000, while the
least wealthy 20 percent of households

held almost zero wealth. The median
wealth among the wealthiest 1 percent
was almost $13 million.8
Figures 7 and 8 show that there
is a substantial difference in stock
holdings across households with different amounts of wealth. Among the
wealthiest 20 percent, 90 percent hold
stocks. On the other hand, among the
households in the bottom 20 percent
in terms of wealth in 2007, only 17
percent own stocks. Richer households
tend to invest more in stocks as well.
The median value of stocks held by the
wealthiest 20 percent of households
is $183,000, while the median stock
value is zero among the bottom 20 percent and the median stock value of the
middle quintile of wealth distribution
is about $1,000.

A quintile is one-fifth of all households. The
first quintile represents the bottom 20 percent
of households when households are sorted by
the amount of wealth holdings. In other words,
the first quintile includes households with the
least amount of wealth, and the fifth quintile
includes the top 20 percent of the wealthiest
households.

7

8
It was about $11 million in 2004, according to
the SCF.

FIGURE 7
Asset Holdings for Different Wealth Quintiles
U.S. dollars in 2009
1,000,000
800,000

Median wealth
Median housing assets
Median stock value

600,000
400,000
200,000
0
1st quintile

2nd quintile

3rd quintile

4th quintile

5th quintile

Source: Survey of Consumer Finances, 2007-09

Business Review Q2 2013 21

The homeownership rate is
also higher for wealthier households
(Figure 8). Among the top 20 percent in wealth holdings, 97 percent
are homeowners. On the other hand,
the homeownership rate was 13 percent for the bottom 20 percent of the
wealth distribution in 2007. Naturally,
the median value of housing assets is
higher for wealthier households (Figure
7). It is $518,000 for the wealthiest 20
percent, while it is zero for the bottom
20 percent. However, the proportion of wealth invested in housing is
decreasing as a share of household
wealth among homeowners, precisely
because households with lower wealth
have to spend more of their wealth
on a house in order to buy one. For
example, among households in the
middle quintile, the value of housing
relative to wealth is 115 percent. On
the other hand, the ratio is only 53
percent among the top 20 percent of
the wealth distribution.
The proportion of households that
own businesses increases significantly
with the level of wealth (Figure 8). In
other words, wealthier households are
more likely to be entrepreneurs. For
example, 33 percent of the wealthiest
20 percent of households own interests
in business, while the ratio is less than
2 percent among the least wealthy 20
percent. The ratio is even higher for
the wealthiest 1 percent: 74 percent of
these households invest in businesses.
The proportion of wealth invested in
businesses also increases significantly
with the level of wealth (Figure 7).

for older and wealthier households,
which tend to own larger houses.
However, in relative terms, younger
homeowners, who tend to invest a
larger proportion of their wealth in
housing, suffer the most in terms of
the damage relative to their wealth.
Remember Figure 6, which shows that
younger households tend to be highly
leveraged. As for other assets such as
stocks, again, middle-aged and older
households, especially the wealthy ones
who invest more in the stock market,
suffer from a decline in stock prices.
The unfavorable business environment
during recessions damages the wealthiest households, which are more likely
to own businesses, the most.

WHAT SHOULD WE EXPECT?
From the way assets are distributed, one can guess how changes in
asset prices affect different households
differently. When house prices drop,
middle-aged and older households,
especially wealthy ones, suffer more
because they are more likely to own a
house. In terms of the absolute level,
the negative effect on wealth is larger

THE GREAT RECESSION’S
DIVERSE EFFECTS ON INCOME
Before looking at wealth, let’s start
with income. The Great Recession
had a large effect on income. According to a recent study by Saez that uses
data on individual tax returns, average
income per family in the U.S. declined
by 11 percent between 2007 and 2009
if income from capital gains is exclud-

22 Q2 2013 Business Review

FIGURE 8
Proportion of Households with Home, Stocks,
and Businesses in Different Wealth Quintiles
Proportion
1.0
0.8

Homeownership rate
Rate with stocks
Rate with business

0.6
0.4
0.2
0
1st quintile

2nd quintile

3rd quintile

4th quintile

5th quintile

Source: Survey of Consumer Finances, 2007-09

ed. If capital gains are included, average income dropped by 17 percent.9
Andy Glover and coauthors computed
that overall average earnings declined
by 8.3 percent, according to the Current Population Survey (CPS). Moreover, Glover and coauthors computed
that earnings of households in their
20s declined by 11 percent, while earnings of households in their 60s dropped
by only 6 percent. These facts are consistent with the ones presented by Michael Elsby, Bart Hobijn, and Ayşegül
Şahin, who report that, in recessions,
the unemployment rate rises more for
younger workers.
Elsby and coauthors also report
that the unemployment rate of workers with less education tends to rise
more during recessions, including the
Great Recession. This fact implies that
workers with relatively lower levels of
education (and lower income) suffered
a larger percentage drop in income
during the Great Recession.

The drop was larger if capital gains are included because capital gains tend to react strongly
to economic booms and recessions.

9

www.philadelphiafed.org

In contrast, Saez reports that, in
general, top income earners experience
a larger percentage decline in income
from recessions. The explanation is
that the source of a large part of income for top income earners is capital
gains. Saez computed that the top 1
percent of the income distribution
suffered an income loss as large as 36
percent between 2007 and 2009, while
the income loss was lower in proportion for the rest, at 12 percent.
In sum, between 2007 and 2009,
U.S. households suffered a large drop
in income. The groups of households
that suffered a larger loss than average were younger households, lowerincome households in each age group,
and extremely wealthy households.
Retired households, many of whom no
longer rely on labor income, suffered
the least in terms of a percentage decline in income.
HOUSEHOLDS’ WEALTH IN
THE GREAT RECESSION
In this section, I document how
wealth and its components changed
between 2007 and 2009, using the
SCF. According to the SCF, the
average net wealth of all households
decreased from $595,000 in 2007
to $481,000 in 2009, a 19 percent
($114,000) decline. Median wealth
declined even more, from $126,000 in
2007 to $97,000, a 23 percent decline
($29,000). For comparison, according to the 2004 SCF, median household wealth was $107,000. Simply put,
between 2007 and 2009, more than
the gains in wealth between 2004
and 2007 and about one-fifth of the
wealth held by households in 2007
disappeared. For comparison, average household earnings (wage income)
declined by 3 percent, from $56,000 to
$54,000, and average household total
income dropped by 9 percent, from
$89,000 to $81,000.
Although I compare the data from
2007 and 2009 because the SCF kept
www.philadelphiafed.org

track of the same households only in
these two years, housing prices continued to stagnate even after 2009. In
How About 2010?, I compare households’ income and wealth in 2009 and
2010, using the newly available data
from the SCF, although a direct comparison is difficult because the 2010
SCF does not keep track of the same
households as in 2007 and 2009.
Housing. Let’s look at important

T

components of wealth individually.
The average value of housing assets
dropped by 13 percent, from $262,000
to $228,000. The size of the drop is
smaller than the size of the drop in
the national house price index during
the interval between the two surveys
(19 percent). There are two reasons for
this. First, the value of housing assets
is self-reported in the SCF, so there is
possibly an upward bias, especially in a

How About 2010?

he table compares the data on income and wealth across the
2007, 2009, and 2010 Survey of Consumer Finances (SCF) provided by the Federal Reserve Board. Note that the households
included in computing the statistics are different across the
2007-2009 SCF and the 2010 SCF. The 2007-2009 SCF includes
households that were age 20-99 in 2007 and surveyed in both 2007 and 2009.
On the other hand, households between ages 20 and 99 in 2010 are included
in the 2010 SCF. Although housing prices and stock prices recovered somewhat between 2009 and 2010, median total net wealth dropped from $97,000
to $76,000. Median housing assets declined slightly, from $180,000 in 2009
to $176,000 in 2010. Median income declined as well, from $50,000 in 2009
to $45,000 in 2010. The proportion of households that own housing and that
own stocks also declined. However, a large part of these changes appears to be
generated by differences in the households included in the SCFs. In particular,
statistics in 2009 tend to be higher because 2009 data do not include households
that were younger than 20 in 2007 or moved residence between 2007 and 2009
and thus were not followed in 2009. These households tend to be younger and
thus earn less and hold less wealth. As evidence, the Census Bureau reports that
the homeownership rates in 2009 and 2010 were 67.4 percent and 66.9 percent,
respectively. This homeownership rate is substantially lower than the homeownership rate in the SCF in 2009 (71.8 percent) but is closer to the homeownership
rate in the 2010 SCF (68.9 percent).

Comparison Between 2007, 2009, and 2010
2007

2009

2010

50,000

50,000

45,000

Median total wealth (dollars)

126,000

97,000

76,000

Median house value (dollars)

207,000

180,000

176,000

Homeownership rate (%)

71.0

71.8

68.9

Proportion of stockholders (%)

53.7

55.6

50

Median income (dollars)

Note: Income and wealth are in 2009 dollars. For 2007 and 2009 data, households of age
20-99 in 2007 and surveyed in both 2007 and 2009 are included, while all households of
age 20-99 in 2010 are included in 2010 data.
Source: Survey of Consumer Finances, 2007-2009 and 2010
Business Review Q2 2013 23

down market. Households interviewed
for the survey might tend to think (or
believe) that the value of their house is
higher than it actually is. Second, the
majority of households are at a stage
in life during which they are increasing their holdings of housing assets.
Note that we are talking about the
value of the houses that households
own. If households buy a house for the
first time or move up to a larger house,
the value of the house owned by the
household probably increased, even if
the same house was cheaper in 2009
compared with 2007. The median
value of housing assets declined less,
from $135,000 in 2007 to $125,000 in
2009, a 7 percent decline.
Stocks. Between 2007 and 2009,
the total value of stocks held directly
or indirectly per household dropped by
29 percent, from $125,000 to $88,000.
The total value of directly held stocks
(which do not include those held by
pension funds or mutual funds) per
household dropped even more, by 37
percent, from $45,000 to $28,000. The
drop in the average value of stocks is
consistent with the size of the drop
in the stock market index. Although
these numbers are large, the long-run
effects of this drop are probably limited, because, as seen in Figure 2, the
stock market rebounded strongly after
2009. As long as households were able
to wait until the stock market recovered, they were able to minimize the
damage caused by the temporary slump
in the stock market. The average value
of businesses owned also dropped
sharply, by 23 percent, from $135,000
to $104,000.
Financial Assets and Debt. The
total value of nonhousing assets per
household, which includes stocks,
business interests, and other financial
assets, declined by 18 percent, from
$435,000 to $357,000. On the other
hand, the average size of debt was
stable: $103,000 in 2007 and $104,000
in 2009. The average total value of safe
24 Q2 2013 Business Review

assets, which are defined as total assets minus the value of housing assets,
stocks, and businesses, was also relatively stable, at $175,000 in 2007 and
$165,000 in 2009 (a 6 percent decline).
This is not surprising, since the prices
of safe assets such as bank accounts

represent the median wealth in 2007
and 2009, respectively. Figure 9 also
shows how the median value of housing assets and stocks changed between
2007 and 2009. Figure 10 exhibits
the changes in mean value of wealth,
housing, and stocks.

Households in their 30s and 40s suffered a
large loss in terms of median wealth between
2007 and 2009.
and Treasury bills remained relatively
stable during the Great Recession.10
Life Cycle. Figures 9 to 12 exhibit
how households in different age groups
were affected during the Great Recession. For example, in Figure 9, each
grey line represents how the median
wealth of one age group changed
between 2007 and 2009; the points
on the left and right side of each line
In 2004, the total value of nonhousing assets
per household was $368,000 (in 2009 U.S. dollars). The per-household debt was $90,000. The
value of safe assets per household was $159,000.
Roughly speaking, the values in 2004 are not far
from those in 2009.

10

Looking at different households
separately in Figures 9 and 10, we see
that average wealth declined for all age
groups between 2007 and 2009. However, there are interesting differences
across different age groups.
First, the loss of wealth suffered
by households headed by those in
their 20s was limited in terms of the
absolute level. The loss, however, was
large relative to the wealth they had
in 2007. The mean value of wealth for
households in their 20s dropped by 23
percent between 2007 and 2009. The
median wealth held by households in
their 20s declined by 14 percent, which

FIGURE 9
Changes in Median Value of Wealth, Housing,
and Stocks, 2007-09
U.S. dollars in 2009
300,000
Wealth
Housing
Stocks

250,000
200,000
150,000
100,000
50,000
0
20s

30s

40s

50s
Age

60s

70+

Source: Survey of Consumer Finances, 2007-09

www.philadelphiafed.org

was smaller than the size of the decline
in the median wealth of all households
(23 percent). This is mainly due to the
characteristics of the median household among those in their 20s. In par-

ticular, since less than half of households in their 20s own a home, the
household with median wealth was a
renter and did not suffer from a decline
in house prices, while homeowners

FIGURE 10
Changes in Mean Value of Wealth, Housing,
and Stocks, 2007-09
U.S. dollars in 2009
1,200,000
Wealth
Housing
Stocks

1,000,000
800,000
600,000
400,000
200,000
0
20s

30s

40s

50s
Age

60s

70+

Source: Survey of Consumer Finances, 2007-09

FIGURE 11
Changes in Ratio of Households with
Housing, Stocks, and Businesses, 2007-09
Proportion
1.0
Housing
Stocks
Business

0.8
0.6
0.4
0.2
0
20s

30s

40s

50s
Age

Source: Survey of Consumer Finances, 2007-09

www.philadelphiafed.org

60s

70+

suffered a large loss in wealth relative
to their wealth holdings, because they
were highly leveraged (taking out a
mortgage that is large relative to their
wealth holdings to buy a house). The
mean value of housing assets increased
slightly for this age group, but that is
because they were at the stage in life
during which they were buying houses.
Figure 11 shows that homeownership
for households in their 20s increased
even during the Great Recession and
that more and more of them started
participating in the stock market. For
households ages 20 to 29, the life-cycle
effect strongly influences the changes
in the data.
Figure 12 is the counterpart to
Figure 6. Figure 12, which shows how
the proportion of the value of housing
assets relative to net wealth for median
households changed between 2007
and 2009, is consistent with the fact
that younger households were buying
houses even during the Great Recession. We can see that the proportion of
wealth invested in housing increased
between 2007 and 2009 for households
in their 20s. The value of debt relative
to wealth also increased. Although we
often hear that American households
have been deleveraging (reducing debt)
since the onset of the Great Recession,
young households were still leveraging,
implying that, for these households,
the life-cycle effect (borrowing and
buying houses when they are young)
has dominated the deleveraging in
which older households were engaged.
Figure 12 also shows that the proportion of wealth invested in stocks or
businesses by households with median
wealth remained low during 20072009.
Households in their 30s and 40s
suffered a large loss in terms of median
wealth between 2007 and 2009 (Figure
9). Median wealth declined by 35 percent and 29 percent for households in
their 30s and 40s, respectively. Their
wealth declined even though stock
Business Review Q2 2013 25

FIGURE 12
Changes in Portfolio Allocation by
Households with Median Wealth
Proportion relative to net wealth
3
2
1
0
-1
Housing
Stocks
Business
Debt

-2
-3
-4
20s

30s

40s

50s
Age

60s

70+

Survey of Consumer Finances, 2007-09

holdings are limited, especially for
households in their 30s. Their wealth
declined significantly mainly because
the median household is a homeowner
with a highly leveraged portfolio and
thus exposed to a higher risk of declining housing and stock prices. On the
other hand, mean wealth declined less
because changes in wealth holdings
of renters, who were not affected by
declining housing prices, affect the
mean more than the median. Figure
12 shows that the proportion of wealth
invested in housing by households with
median wealth continued to increase
because of the life-cycle effect. The
size of debt relative to wealth also
increased between 2007 and 2009 for
middle-aged households.
For households in their 50s and
60s, wealth declined between 2007 and
2009, as seen in Figures 9 and 10, but
the loss was relatively small, because
these households had already accumulated wealth and invested a larger part
of their wealth in safer assets (see also
Figure 6). Therefore, their exposure
to risky assets such as housing and
stocks was lower. The median wealth
26 Q2 2013 Business Review

of households in their 50s and 60s
declined by 20 percent and 13 percent,
respectively. On the other hand, their
mean wealth declined more than their
median wealth, but this was due to
a large decline in the value of businesses, which was concentrated among
a small number of households in their
50s and 60s. Figure 11 shows that the
proportion of households with business interests was highest within these
age groups. Since the homeownership
rate stabilized at ages 50s to 60s, the
proportion of wealth allocated to housing assets remained relatively stable
between 2007 and 2009 (Figure 12).
The median wealth of households aged 70 and above declined by
22 percent, which was larger than the
decline for households in their 50s
and 60s. Mean wealth declined by 25
percent. An important part of this
large decline was due to life-cycle patterns; households age 70 and above
were spending down their accumulated
wealth to support consumption expenditures in retirement. In other words,
the size of the decline for households
in retirement looks larger because the

value of their assets fell, and they were
actively reducing wealth. Figure 12 is
consistent with such an interpretation;
the proportion of wealth allocated
to housing by older households with
median wealth declined between 2007
and 2009, albeit slightly.
Turning to stock holdings, Figure 10 shows that the proportion of
households older than 70 with stocks
declined between 2007 and 2009. In
other words, households age 70 and
above were selling stocks. Therefore,
the declining value of stocks among
older households exaggerates the loss
suffered by these households because
they were actively selling stocks.
However, as shown in Figure 12,
households with median wealth do not
invest much in stocks. On the other
hand, the homeownership rate did not
drop during 2007-2009, implying that
homeowners age 70 and above suffered
a loss in the value of their housing.11
Wealth Distribution. There is
also a large diversity in how different
households in different parts of the
wealth distribution were affected by
the Great Recession. Figure 13 shows
the percentage changes in the mean
value of wealth, housing, and stocks for
groups of households in different parts
of the wealth distribution. We can see
clearly that changes in wealth were significantly different for households with
different levels of wealth. In particular,
households with the lowest amount of
wealth increased their wealth holdings between 2007 and 2009, mainly
because of life-cycle effects. These
households were in the life-cycle stage
during which they accumulate wealth.
Between 2007 and 2009, the average
wealth held by the bottom 40 percent
of the wealth distribution increased by
54 percent, from $13,000 to $20,000.

In an earlier Business Review article, I documented how retirees decumulate wealth, with a
focus on the distinction between housing and
financial assets.

11

www.philadelphiafed.org

This is due in large part to an increase
in average holdings of housing assets, which increased from $39,000
to $44,000. The homeownership rate
among these households also increased, from 35 percent to 40 percent.
They increased their stock holdings,
but stocks’ contribution to the increase
in wealth is limited because these
households invested little in the stock
market from the beginning. On the
other hand, the average wealth among
the top 20 percent in the wealth distribution declined by 21 percent, from
$2.5 million to $2.0 million. They
experienced a loss in holdings of housing assets, stocks, and businesses. The
loss was even more pronounced for
the wealthiest 1 percent; their wealth
dropped by 29 percent during 20072009, although about two-thirds of
them remained among the wealthiest
1 percent even after the loss.
WHO GAINED AND WHO LOST
IN THE GREAT RECESSION
Who benefited and who suffered
from the Great Recession? Before
going into details, let me emphasize

that the choice of the timing of the
comparison matters significantly. Even
if a household lost during the Great
Recession, because the value of the assets that the household owns declined
between 2007 and 2009, the household
might have gained if the value of the
assets in 2009 is compared with the
value in, say, 2002. On the other hand,
households that purchased their house
at the peak of house prices (around
2006-2007) lost value in their house
without benefitting from the boom
that preceded the decline.12 The analysis here is limited in the sense that it
cannot account for changes that happened before the Great Recession.
As I have shown, households with
different levels of income or wealth
and at a different stage of life were affected differently by the Great Recession. Moreover, there are some non-

12
Many people, including economist Robert
Shiller (who helped to develop the Case-Shiller
house price index), perceive the substantial rise
in housing prices before the Great Recession to
be a “bubble.” Please see my previous Business
Review article for a discussion of the “bubble”
theory of house prices.

FIGURE 13
Percentage Changes in Mean Value of Wealth,
Housing, and Stocks, 2007-09
Percentage changes between 2007 and 2009
120
Mean wealth
Mean housing
Mean stock value

100
80
60
40
20
0
-20
-40
-60
1st and 2nd quintiles

3rd quintile

Source: Survey of Consumer Finances, 2007-09

www.philadelphiafed.org

4th quintile

5th quintile

trivial channels that create winners
and losers. I will slice households along
various dimensions and discuss who
gained and who lost from the Great
Recession; in particular, I will look
at the large drops in income, house
prices, and stock prices.
Income. On average, households
lost income from the Great Recession.
However, young and less educated
households tended to suffer a larger
percentage drop in income. Moreover,
using Canadian data, Philip Oreopoulos, Till von Wachter, and Andrew
Heisz show that college students graduating and entering the job market in a
recession suffer a large initial income
loss, and the loss is persistent, lasting
as long as 10 years. On the other hand,
Saez shows that households at the top
of the income distribution experienced
a larger percentage loss from the Great
Recession. Middle-aged households
suffered less because more of them
have stable, full-time jobs. Not surprisingly, retired households suffered little.
Housing. Homeowners, especially
those who wanted to sell their house,
suffered from the drop in house prices.
Younger homeowners suffered less
because they could likely wait until
house prices recover (if they ever do)
to sell. Although house prices have
hit bottom and are finally rising, they
remain a long way from their levels
before the housing crash. Whether and
how much homeowners suffer depends
on how fast and how much house
prices recover in the future. On the
other hand, renters who were about to
buy their first home or homeowners
planning to move up to a larger house
could buy houses at lower prices than
before the recession. Relatively young
renters and younger homeowners were
in this category. In their study, Wenli
Li and Rui Yao investigate these asymmetric effects of house-price changes.
At the same time, they are likely to
have suffered a loss in income, and lost
savings to be used for a down payment
Business Review Q2 2013 27

with the declining asset prices. Therefore, whether these households gained,
all things considered, is not certain.
Note that the timing of a home
purchase also matters. Homeowners who purchased their house when
house prices were still low might not
have suffered too much from the Great
Recession, even with a large decline
in house prices, because the purchase
price was also low. To give an extreme
example, the average price of new
homes was $229,000 in 2002, $314,000
in 2007, and $273,000 in 2010.13 For
a person who purchased his house in
2002, selling in 2010 is worse than selling in 2007, but still his selling price
would be higher than the purchase
price. For a person who purchased his
house in 2007, that’s not the case.14
On the other hand, homeowners who
purchased their house recently are the
ones who suffered the most from the
large decline in prices.
Stocks. Similarly, households that
were about to sell stocks and could not
wait until the stock market recovered suffered from the Great Recession. Older households, which tend
to sell stocks to support consumption
expenditures in retirement, were in
this group. Relatively younger households and those experiencing income
growth gained in this regard because
they tend to be buyers of financial assets, and they were able to buy assets at
depressed prices.
Wealth and Debt. Households
with little wealth or those that were
heavily indebted did not suffer from
declining asset prices but could suffer
from the Great Recession from a dif-

According to the Census Bureau, the median
house price was $188,000 in 2002, $248,000 in
2007, and $222,000 in 2010.

13

14
Here I assume that these are the prices with
which households buy or sell their houses. Of
course, the first person “suffered” as well if he
thought the value of his house was actually
$314,000, but that’s a different story.

28 Q2 2013 Business Review

ferent channel. How? If such a household experienced a loss of income,
even if it wanted to borrow money
to avoid a large drop in consumption
expenditures, it might not be able to
do so if borrowing was difficult. A
household that wants to borrow but
cannot is called borrowing constrained.
Households that are planning to buy
houses or other assets suffer from the
borrowing constraint as well because,
even though they want to buy houses
or assets at depressed prices, they
cannot do so because they have little
wealth and are unable to borrow. This
point is emphasized in a recent paper
by Sewon Hur.
Young and Old. Glover and coauthors argue that age is an important
determinant of the impact of the Great
Recession, especially if the decline in

workers might have experienced a
decline in income during the Great
Recession, but they have more time
to bounce back, with possible booms
in the future canceling the Great Recession’s negative effects on income.
Older workers, on the other hand,
have a shorter time horizon because
they will retire sooner.
Welfare. All things above considered, how did the Great Recession affect the welfare (well-being) of
diverse households? The discussion
above indicates that young households
suffered more in terms of income, but
older households suffered more from
declining asset prices. Using a sophisticated economic model, Glover and
coauthors computed that the size of
the decline in the average welfare of
households age 70 and above associ-

Although house prices have hit bottom and
are finally rising, they remain a long way from
their levels before the housing crash. Whether
and how much homeowners suffer depends
on how fast and how much house prices
recover in the future.
stock and house prices is temporary
and prices recover in the not-too-distant future. Under such circumstances,
young households that have assets such
as housing and stocks can hold on to
these assets until prices recover and
avoid losing wealth from the decline in
asset prices. On the other hand, older
households might not have time to
wait until asset markets recover. Time
is especially important when they want
to sell the assets to support current
consumption expenditures; holding on
to assets with depressed prices hurts
them because they might not be able
to buy what they want if they do not
sell these assets.
A similar argument can be made
about income. Relatively younger

ated with the Great Recession was
equivalent to an 8 percent drop in
consumption every year for the rest
of their lives. On the other hand, the
decline in the welfare of young (20s)
households was equivalent to a less
than 0.5 percent decline in consumption every year.
Why did young households suffer less than older households? First,
young households are expected to live
longer. As long as the economy recovers from the Great Recession in the
future, the young can smooth out the
losses from the Great Recession over
their lifetime. Second, young households tend to be accumulating assets,
and thus they benefit from lower asset prices. As we have seen, younger
www.philadelphiafed.org

households suffered a larger percentage
loss in income on average, but according to the calculation by Glover and
coauthors, this effect is weaker than
the two favorable effects for the young.
However, we should remember that
this calculation did not take into account the possibility that young households with little or zero wealth could
suffer due to the borrowing constraint,
as discussed above.
CONCLUSION
In this article, I summarized the
diverse economic impact of the Great

Recession on different groups of households. In terms of income, young, lower-income, and extremely high-income
households suffered a larger percentage
decline. Moreover, a large decline in
asset prices caused a larger drop in the
value of wealth for homeowners, stockholders, and business owners. In terms
of age, middle-aged households tended
to suffer a larger decline in wealth
because they tend to own those risky
assets more than younger and retired
households. The wealthiest households
suffered more than the less wealthy in
proportion because they tend to invest

more of their wealth in risky assets,
although the majority of those wealthy
households remain relatively wealthy
even after experiencing a large loss.
There are also nontrivial channels. Older households tend to suffer
more because they tend to have less
time to wait for asset prices to recover.
On the other hand, young households
that buy assets indirectly benefit from
lower asset prices, but how much they
benefit from the Great Recession
depends on whether they can actually
afford to buy these assets even after
suffering a loss in income.

Glover, Andy, Jonathan Heathcote,
Dirk Krueger, and Jose-Victor Rios-Rull.
“Intergenerational Redistribution in the
Great Recession,” NBER Working Paper
16924 (April 2011).

Nakajima, Makoto. “Everything You
Always Wanted to Know about Reverse
Mortgages but Were Afraid to Ask,” Federal Reserve Bank of Philadelphia Business
Review (First Quarter 2012), pp. 19-31.

Hur, Sewon. “The Lost Generation of the
Great Recession,” University of Minnesota
Working Paper (February 2012).

Oreopoulos, Philip, Till von Wachter, and
Andrew Heisz. “The Short- and Long-Term
Career Effects of Graduating in a Recession,” American Economic Journal: Applied
Economics 4:1 (January 2012), pp. 1-29.

REFERENCES
Bricker, Jesse, Brian Bucks, Arthur
Kennickell, Traci Mach, and Kevin Moore.
“Surveying the Aftermath of the Storm:
Changes in Family Finances from 2007
to 2009,” Federal Reserve Board, Finance
and Economics Discussion Series 2011-17
(March 2011).
Chambers, Matthew, Carlos Garriga, and
Don E. Schlagenhauf. “Accounting for
Changes in the Homeownership Rate,”
International Economic Review, 50
(August 2009), pp. 677-726.
Chatterjee, Satyajit. “The Peopling of
Macroeconomics: Microeconomics of
Aggregate Consumer Expenditures,”
Federal Reserve Bank of Philadelphia
Business Review (First Quarter 2009),
pp. 1-10.
Elsby, Michael W., Bart Hobijn, and
Ayşegül Şahin. “The Labor Market in the
Great Recession,” Brookings Papers on
Economic Activity (Spring 2010), pp. 1-48.
Farmer, Roger E. A. “The Stock Market
Crash of 2008 Caused the Great Recession:
Theory and Evidence,” Journal of Economic
Dynamics and Control, 36 (2012),
pp. 693-707.

www.philadelphiafed.org

Kiyotaki, Nobuhiro, Alexander
Michaelides, and Kalin Nikolov. “Winners
and Losers in Housing Markets,” Journal
of Money, Credit and Banking, 43 (MarchApril 2011), pp. 255-296.
Li, Wenli, and Rui Yao. “The Life-Cycle
Effects of House Price Changes,” Journal of
Money, Credit and Banking, 36 (September
2007), pp. 1375-1409.
Modigliani, Franco, and Richard H.
Brumberg. “Utility Analysis and the Consumption Function: An Interpretation of
Cross-Section Data,” in Kenneth K. Kurihara, ed., Post-Keynesian Economics. New
Brunswick, NJ: Rutgers University Press,
1954, pp. 388-436.
Nakajima, Makoto. “Understanding
House-Price Dynamics,” Federal Reserve
Bank of Philadelphia Business Review (Second Quarter 2011), pp. 20-28.

Saez, Emmanuel. “Striking It Richer: The
Evolution of Top Incomes in the United
States (Updated with 2009 and 2010 Estimates),” University of California, Berkeley
(March 2012).
Shiller, Robert J. Irrational Exuberance, 2nd
edition. Princeton: Princeton University
Press, 2005.
Vissing-Jorgensen, Annette. “Towards an
Explanation of Household Portfolio Choice
Heterogeneity: Nonfinancial Income and
Participation Cost Structures,” NBER
Working Paper 8884 (April 2002).
von Lilienfeld-Toal, Ulf, and Dilip
Mookherjee. “How Did the U.S. Housing Slump Begin? The Role of the 2005
Bankruptcy Reform,” Boston University
Working Paper (January 2011).
Business Review Q2 2013 29

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/.

USING AN ASKING PRICE
MECHANISM
In many markets, sellers advertise
their goods with an asking price. This is a
price at which the seller is willing to take
his goods off the market and trade immediately, although it is understood that a
buyer can submit an offer below the asking
price and that this offer may be accepted if
the seller receives no better offers. Despite
their prevalence in a variety of real-world
markets, asking prices have received little
attention in the academic literature. The
authors construct an environment with a
few simple, realistic ingredients and demonstrate that using an asking price is optimal:
It is the pricing mechanism that maximizes
sellers’ revenues, and it implements the efficient outcome in equilibrium. The authors
provide a complete characterization of this
equilibrium and use it to explore the positive implications of this pricing mechanism
for transaction prices and allocations.
Working Paper 13-7, “Competing with
Asking Prices,” Benjamin Lester, Federal
Reserve Bank of Philadelphia; Ludo Visschers,
Universidad Carlos III; and Ronald Wolthoff,
University of Toronto
STUDYING THE AGENCY
CMO MARKET
The agency CMO market, an often
overlooked corner of mortgage finance,
has experienced tremendous growth over
the past decade. This paper explains
the rationale behind the construction of
agency CMOs, quantifies risks embedded
30 Q2 2013 Business Review

in agency CMOs using a traditional and a
novel approach, and offers valuable lessons
learned when interpreting these risk measures. Among these lessons is that to fully
understand the risks in agency CMOs, a full
bond-by-bond analysis is necessary and that
interest rate risk is not the only risk that
needs to be considered when conducting risk
management with CMOs.
Working Paper 13-8, “Understanding and
Measuring Risks in Agency CMOs,” Nicholas
Arcidiacono, Federal Reserve Bank of Philadelphia; Larry Cordell, Federal Reserve Bank of
Philadelphia; Andrew Davidson, Andrew Davidson & Company; and Alex Levin, Andrew
Davidson & Company
INVESTIGATING WORKER FLOWS
AND JOB FLOWS
This paper studies the quantitative
properties of a multiple-worker firm matching model with on-the-job search in which
heterogeneous firms operate decreasingreturns-to-scale production technology.
The authors focus on the model’s ability to
replicate the business cycle features of job
flows, worker flows between employment and
unemployment, and job-to-job transitions.
The calibrated model successfully replicates
(1) countercyclical worker flows between employment and unemployment, (2) procyclical
job-to-job transitions, and (3) opposite movements of job creation and destruction rates
over the business cycle. The cyclical properties of worker flows between employment and
unemployment differ from those of job flows,
partly because of the presence of job-to-job
www.philadelphiafed.org

transitions. The authors also show, however, that job
flows measured by net employment changes differ
significantly from total worker separation and accession
rates because separations also occur at firms with positive net employment changes, and similarly, firms that
are shrinking on net may hire workers to partially offset
attritions. The presence of job-to-job transitions is the
key to producing these differences.
Working Paper 13-9, “Worker Flows and Job Flows: A
Quantitative Investigation,” Shigeru Fujita, Federal Reserve
Bank of Philadelphia, and Makoto Nakajima, Federal
Reserve Bank of Philadelphia
THE LINK BETWEEN TFP GROWTH AND
THE VALUE OF U.S. CORPORATIONS
This paper documents a strong association between
total factor productivity (TFP) growth and the value
of U.S. corporations (measured as the value of equities
and net debt for the U.S. corporate sector) throughout
the postwar period. Persistent fluctuations in the first
two moments of TFP growth predict two-thirds of the
medium-term variation in the value of U.S. corporations relative to gross domestic product (henceforth
value-output ratio). An increase in the conditional
mean of TFP growth by 1 percent is associated with a
21 percent increase in the value-output ratio, while this
indicator declines by 12 percent following a 1 percent
increase in the standard deviation of TFP growth. A
possible explanation for these findings is that movements in the first two moments of aggregate productivity affect the expectations that investors have regarding
future corporate payouts as well as their perceived risk.
The authors develop a dynamic stochastic general equilibrium model with the aim of verifying how sensible
this interpretation is. The model features recursive preferences for the households, Markov-Switching regimes
in the first two moments of TFP growth, incomplete
information, and monopolistic rents. Under a plausible

www.philadelphiafed.org

calibration and including all these features, the model
can account for a sizable fraction of the elasticity of
the value-output ratio to the first two moments of TFP
growth.
Working Paper 13-10, “Risk, Economic Growth, and
the Value of U.S. Corporations,” by Luigi Bocola, University of Pennsylvania, and Nils Gornemann, University of
Pennsylvania
EXPANDING EMPLOYMENT THROUGH
STATE DEFICIT POLICIES
Using a sample of the 48 mainland U.S. states
for the period 1973-2009, we study the ability of U.S.
states to expand their own state employment through
the use of state deficit policies. The analysis allows for
the facts that U.S. states are part of a wider monetary
and economic union with free factor mobility across all
states and that state residents and firms may purchase
goods from “neighboring” states. Those purchases may
generate economic spillovers across neighbors. Estimates suggest that states can increase their own state
employment by increasing their own deficits. There is
evidence of spillovers to employment in neighboring
states defined by common cyclical patterns among state
economies. For large states, aggregate spillovers to their
economic neighbors are approximately two-thirds of the
large state’s job growth. Because of significant spillovers
and possible incentives to free ride, there is a potential
case to actively coordinate (i.e., centralize) the management of stabilization policies. Finally, when these
deficits are scheduled for repayment, the job effects of a
temporary increase in a state’s own deficits persist for at
most one to two years, and there is evidence of a negative impact of state jobs.
Working Paper 13-11, “Local Deficits and Local Jobs:
Can U.S. States Stabilize Their Own Economies?,” Gerald
Carlino, Federal Reserve Bank of Philadelphia, and Robert
Inman, The Wharton School, University of Pennsylvania

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