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Debt Dilution:
When It Is a Major Problem and How to Deal with It
By Burcu Eyigungor

I

n light of the ongoing European debt crisis, the potential
problems faced by countries in servicing their national or
sovereign debt have attracted renewed attention. We had
come to believe that sovereign debt crises were exclusively a
phenomenon of developing countries, as all defaulters since
World War II had been developing countries.1 Recent developments,
however, show that default is an important concern for all countries,
threatening the stability of world markets.

Episodes of sovereign default
are typically very costly, not only for
the lenders but also for the defaulting country itself. Defaults — in fact,
the mere possibility of default — lead
to substantial losses in output, high
unemployment, and often political
upheaval.2 Furthermore, not only are
default episodes costly, they are also
surprisingly frequent. For instance,

between 1981 and 2004 there have
been 114 episodes of sovereign default
in the world.
Given that these episodes are so
costly, why do we see so much borrowing and so many countries defaulting? In this article, I will argue that a
phenomenon called debt dilution is a
major reason countries are prone to
debt crises. To be more specific, the

1
Currently, sovereign debt usually takes the
form of bonds issued by a national government.
Sovereign default occurs when a government
fails to repay its debts.

during the time the country is in default.
Davide Furceri and Aleksandra Zdzienicka find
that eight years after the occurrence of a debt
crisis, output is lower by 10 percent compared
with its output trend. Sturzenegger finds that
countries that have defaulted grow about 0.6
percent less per year than those that do not.
For the period of 1974 to 1999, this implies that
defaulters lag nondefaulters by about 14 percent.
Bianca De Paoli, Glenn Hoggarth, and Victoria
Saporta estimate an even larger number for
the costs of default: Output falls 5 percent per
annum during the crisis, which on average lasts
for about 10 years.

2
Measuring the costs of sovereign default is
somewhat challenging because defaults usually
happen when a country has a low capacity to
repay its debt and its output would probably
be low regardless of its default decision. Still,
recent studies have tried to correct for this
factor and have found substantial default costs.
Eduardo Borensztein and Ugo Panizza estimate
that default is associated with a decrease in
growth of around 1 percentage point per year

Burcu Eyigungor is an economist at the Federal Reserve Bank of
Philadelphia. The views expressed in this article are not necessarily
those of the Federal Reserve. This article and other Philadelphia
Fed reports and research are available at www.philadelphiafed.org/
research-and-data/publications.

www.philadelphiafed.org

possibility that countries can issue new
debt before their existing debt comes
due gives them an incentive to borrow heavily. This is because when a
country is contemplating issuing new
bonds, it need not care about the loss it
inflicts on existing creditors who hold
bonds the country issued in the past.
As a result, the country borrows heavily and defaults frequently. As I will
discuss, this incentive to issue a lot of
debt ultimately hurts the country itself
because it pays higher interest rates on
its debt up front and suffers the costs
when default happens.
To proceed, I will first look at
the case of Argentina during its 2001
default, which will highlight the costs
associated with default. Then I will
give a simple example that will show
how long-term debt and the possibility
of diluting its value leads a country to
borrow and default excessively, hurting the country itself. Finally, I will
analyze various proposals that have
been brought up to deal with the debt
dilution problem.
COSTS OF DEFAULT:
THE CASE OF ARGENTINA
Argentina has defaulted six times
since it gained independence in 1820.
But it is not the only “serial defaulter.”
Carmen Reinhart and Kenneth Rogoff
note that Mexico and Uruguay have
defaulted eight times since 1800, and
Germany and Spain defaulted seven
times between 1800 and the start of
World War II. When we look at what
happened in Argentina around the
time of its most recent default in 2001,
we can get an idea of the costs associated with sovereign default episodes.
Business Review Q4 2013 1

Before defaulting in 2001, Argentina survived three and a half years
of recession, starting in mid-1998.
Although there was a primary federal
budget surplus (i.e., a budget surplus
excluding interest payments on debt),
Argentina was having a difficult time
paying the interest payments on the
high levels of debt it had accumulated.
Its debt reached 50 percent of its yearly
GDP in 1999, and investors became
less confident about Argentina’s ability to pay back its debt. The perception of a higher likelihood of default
meant that Argentina had to borrow
at increasingly higher interest rates,
ultimately paying 16 percent more
than the U.S. on debt of comparable
maturity in 2000. The International
Monetary Fund and the U.S. government extended loans to Argentina at
interest rates much lower than market
rates to ease Argentina’s debt repayment woes. Despite international
help, increasing social unrest made it
impossible for Argentina to implement
the contractionary policies that would
have generated the budget surpluses
needed to lower its debt burden. There
were eight general strikes during 2001,
and by the time of the default in December 2001, the unemployment rate
had increased to 20 percent from 13.5
percent in 1999.
The default episode was accompanied by runs on banks, typical
of countries suffering from elevated
risks of default. Runs like these arise
from the fact that as investors become
apprehensive, they liquidate their
investments (this is known as capital
flight), which leads to sharp depreciations of the currency. Banks in these
countries typically hold debt denominated in foreign currency but assets
denominated in the home country’s
currency. When the home country
currency depreciates, this creates losses
for the banks. In addition, the fear
of sovereign default makes the banks
that hold government bonds look
2 Q4 2013 Business Review

vulnerable. All of this makes depositors rightfully apprehensive and results
in large-scale withdrawals of deposits
from banks. The collapse of the banks,
in turn, affects their ability to provide
credit to domestic market participants,
leading to a further contraction of
the domestic economy. In Argentina,
as a response to the bank runs, the
government restricted individuals’
withdrawals to no more than 250 pesos
per day, which resulted in shortages
of cash. In addition, the government
also decreed that domestic debt and
deposits denominated in U.S. dollars
were to be converted into pesos at the
pre-crisis exchange rate of 1 peso per
dollar, when the post-default exchange
rate was almost 3.5 pesos per dollar.
This resulted in a huge redistribution
of wealth from savers to borrowers.3
Finally, firms that had a direct connection to foreign lenders defaulted
on their foreign debts because their
foreign currency liabilities were fixed
in dollars and the amount of pesos
needed to fulfill these obligations had
risen more than three-fold.
From Argentina’s experience we
can see that both the risk of default
and default itself lead to substantial
economic dislocation. Thus, frequent
episodes of default are, in the end, very
costly for the country.
How does debt dilution — that
is, issuing new debt on top of existing debt, thereby diluting the value of
existing debt — help us understand
the excessive borrowing that led to
debt crises in Argentina? Two recent
studies have proposed the debt dilution problem as a major reason that
developing countries borrow too much,
default too frequently, and pay high interest rates. In my article with Satyajit
Chatterjee, we estimate that Argentina

3
One might argue that this decreased the
overall default rate in the private sector and
prevented further contraction of the domestic
economy.

has paid, on average, an extra 8 percentage points in higher interest rates
and increased its yearly probability of
default by 6 percentage points because
of the excessive borrowing resulting from its debt dilution problem. In
another study, Juan Carlos Hatchondo
and Leonardo Martinez estimate these
numbers to be 7 and 3 percentage
points, respectively. Both studies show
that without the debt dilution problem, Argentina’s probability of default
would be negligible, and it would be
better off if it could solve this problem
in some way.
EXPLAINING THE DEBT
DILUTION PROBLEM
A debt dilution problem arises if
a country has the opportunity to take
out new loans before existing loans
have matured and been paid off. When
a country takes out a new loan and
adds to its existing debt burden, the
likelihood that the country will default
on its obligations goes up. This happens
because as debt levels increase, the
probability that the country will have
enough resources to repay outstanding
debt decreases. New borrowing, then,
reduces the value of the country’s existing debt. This loss in the value of existing debt (because of a higher probability of default) is called a dilution in the
value of existing debt. This is where
the problem of debt dilution arises.
There is an externality imposed by the
issuance of new debt on existing debt
holders that the country does not take
into account when deciding whether to
issue new debt or not. Thus, the country ends up borrowing excessively, and
defaulting excessively as well.
A simple example. To give more
insight, let’s examine a simple example
of a country that has a three-year time
frame. The country issues some longterm debt in the first year that is due
in the third year. In the second year, it
has the option to issue additional debt
that also matures in the third year.
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Note that this debt has a shorter maturity than the debt issued in the first
year. In the third year, the country
knows it will have to pay back whatever it borrowed in the first and second
years or else default on its borrowings.
The country’s expected income
determines the probability of default.
The country’s income in the third
year is uncertain. With a probability
of 50 percent, the country will have
an income of $50; otherwise, it will
have an income of $100. Obviously,
the country’s income in the third year
will determine its capacity to pay back
its debt. To make the calculations
simple, I assume that the country pays
back its debt in full as long as its income exceeds its debt. If its income is
lower than its outstanding debt, it will
default and transfer all of its income to
its lenders. The lenders share the income in proportion to their holdings of
debt and are treated equally, independent of when the debt was issued.
The price of debt depends on the
probability of default. For simplicity,
let’s assume that the interest rate on
safe assets is zero. This means that if
lenders know for sure that the debt will
be paid back in full when it matures,
they are willing to provide $1 for debt
that promises to pay $1 at maturity.
For example, if the total debt is $30,
the country will not default whether its
income turns out to be $50 or $100. In
either case, its income will be enough
to pay back all of its obligations. Given
this, the price of $1 of debt at the
end of the second year will be $1. In
contrast, if they think the country
might default, they take that into account in pricing the debt. In that case,
they would be willing to advance less
than a dollar for debt that promises
to pay $1 at maturity. For example,
if the total debt is $60, the country
will not default when its income is
$100, but it will default if its income is
$50. When it defaults, the $50 will be
shared among lenders, and the holder
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of each $1 of debt will be entitled to
50/60 = $0.83. Since the probability of
the country’s income being $50 is half
and the probability of the country’s
income being $100 is half, in this case
the price of $1 of debt will be $0.92
(=0.5 × $0.83+0.5 × $1).4 Figure 1
gives the price of $1 of debt at the end
of the second year, and Figure 2 gives
the probability of default for different
values of the country’s debt at the end
of the second year.5

4
A holder of $1 of debt will get $1 if income
turns out to be $100 (which happens with 50
percent probability) and will get $0.83 if income
turns out to be $50 (again with 50 percent probability), and in expectation the holder receives
0.5 × 1+0.5 × 0.83=0.916 in the third year.
This implies that the price of each $1 of debt
will be $0.92 in the second year.
5
The price of the debt depends only on the
country’s total obligations at the end of the second year and not on the composition of the debt
at origination. This is because all debt, regardless of when it is originated, is treated equally
and all obligations are due in the third year.

When we look at Figure 2, we see
that the probability of default increases
to 50 percent once the debt rises above
$50. This is because once the debt is
above $50, the country’s income will
not be enough to fulfill its obligations
if its income turns out to be $50. If
the country’s obligations exceed $100,
the country defaults for sure in the
third year, since neither realization of
income is enough to cover its debt payments.
From Figure 1, it is clear that the
price of debt goes down as the country issues more debt. The creditors get
back the face value of the debt if the
country does not default, but if it defaults, creditors share the country’s income. In the case of default, the larger
the obligations are, the less money the
holder of each unit of debt gets.
Additional borrowing dilutes the value of existing debt. Given that the price
of each dollar of debt depends on the
country’s total obligations (and not on

FIGURE 1
Price of Debt Falls as More Debt Is Issued
in Second Year

Business Review Q4 2013 3

FIGURE 2
Probability of Default Increases as More Debt
Is Issued in Second Year

when the debt is issued), using Table
1, it is easy to see how more borrowing
dilutes the value of the existing debt
issued in the first year. Suppose that
$20 of long-term debt were issued in
the first year. If no additional borrowing is done, its value will be $1; if $40
of additional (short-term) debt is issued
in the second year (making the country’s total obligation $60), its value will
go down to $0.92; if $60 of debt is issued, the value of the outstanding debt
decreases to $0.81.
Now we come to the heart of the
debt dilution problem. Does the borrowing country care about the decline
in the value of the $20 of existing debt
when it issues additional debt in the
second year? The answer is no. The
country received money from investors
when it issued debt in the first year.
Now banks or other investors hold this
debt, and they, rather than the country, suffer the loss in the market value
4 Q4 2013 Business Review

of the debt as the country takes on
additional debt.
This is in contrast to the case in
which the country does not have any
outstanding debt. When the country
first borrows, the pricing of that initial
debt will depend on its probability of
default. Higher issuance will result in
lower prices, that is, less revenue from
issuing debt, and the country will take
that into account in deciding how
much debt to issue. This is where the
costs due to debt dilution come from.
Because the country does not care
about the capital loss that the existing holders of debt incur, it will end up
borrowing and defaulting excessively.6

6
Some people have thought that countries
might act more responsibly in order to maintain
or establish a good reputation. In my simple
example, I am ignoring these reputational
concerns.

COSTS OF DEBT DILUTION
An important question to ask is:
Who bears the cost of debt dilution?
One answer, as we’ve already seen,
would be that the country’s lenders
bear the costs, since the debt they
hold loses value when the country issues additional debt. But, in fact, what
happens is that lenders realize that the
country may borrow more in the future
and that this additional borrowing will
dilute the value of the debt they currently hold. Depending on how much
lenders think the country will borrow
in the future, the debt will be priced
accordingly. For instance, if the country issues $20 of debt in the first year
and lenders know with certainty that
the country will not issue additional
debt in the second year, they will
advance $1 for each $1 of debt. On
the other hand, if they think that the
country will issue $40 more in debt in
the second year, they will be willing to
pay only $0.92 for each $1 of the $20 of
debt issued in the first year. Obviously,
the country is worse off in the first
year when its lenders think that it will
borrow more in the second year.
So investors need to estimate how
much the country can be expected to
borrow in each year. Let’s return to our
example. For simplicity, let’s suppose
that the country issues $50 of longterm debt in the first year and will
either issue zero or $50 of debt in the
second year. With this simple setup we
can show that the country will be better off if it can commit not to borrow
more in the second year.
Column 1 of Table 2 shows what
happens if no additional debt is issued
in the second year. The country gets
no net revenue in the third year when
its income is $50 (all the income goes
to pay back first-year lenders), and it
gets $50 of net revenue in the third
year when its income is $100. In total
then, net revenue in the second year
plus average expected net revenue in
the third year is $25.
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Compare this to the case, shown in
Column 2, when the country issues $50
of new debt in the second year. The
price at which this new debt can be
sold is $0.75 per $1 of debt (as seen in
Table 1, for a total debt level of $100),
so net revenue in the second year will
be $37.50 (= $0.75 × $50 of debt).7 In
the third year, if the country’s income
is $50, it defaults, since its total debt
exceeds its income and it gets no net
revenue. Even if the country’s income is
$100, it gets no net revenue in the third
year because it has promised to pay

7
The new debt can be sold for $0.75 per $1 of
debt only because there is now a 50 percent
chance that second year lenders will get half the
country’s income when it is $50 and a 50 percent chance they will get half of the country’s
income when it is $100. So, on average, they
expect to get $0.75 for each $1 of debt.

back a total of $100 to lenders. In this
case, net revenue in the second year
plus average net revenue in the third
year is $37.50. This is higher than the
$25 of expected net revenue the country would get if it didn’t issue new debt
in the second year. So far, it looks like
the country is better off by issuing the
additional debt in the second year.8

8
It is worth noting that the additional net revenue permitted by the new borrowing comes from
the fact that, by way of dilution, the country
diverts resources from existing creditors to new
creditors. With the new borrowing, the payment
that creditors who lent to the country in the
first year expect to get goes down. That’s why
the price of their debt goes down. The payment
that would have gone to these existing creditors
goes instead to the new creditors. In return, the
new creditors lend the country money in the
second year, which allows the country to have
more net revenue in the second year.

While this dilution in the value
of outstanding debt seems to be in
the interests of the country issuing
the debt, one must also take into account the country’s net revenue in the
first year. The important point here is
that this amount will depend on what
lenders believe the country will do in
the second year. If the country could
commit to not borrow in the second
year, the $50 of long-term debt issued
in the first year would be fully paid
back in the third year, and therefore,
each $1 of debt would have a value
of $1. This means that the country
would have $50 of net revenue in the
first year. However, lenders know that
once the second year arrives, it will be
in the country’s best interest to issue
$50 more of debt. That is, the country cannot commit not to issue that

TABLE 1
Pricing of Debt for Different Debt Levels
Total level of debt at end of second year

$20

$30

$40

$50

$60

$70

$80

$90

$100

Debt payment when income is $50

$20

$30

$40

$50

$50

$50

$50

$50

$0

Debt payment when income is $100

$20

$30

$40

$50

$60

$70

$80

$90

$100

Probability of default

0%

0%

0%

0%

50%

50%

50%

50%

50%

Price of $1 of debt at end of second year

$1

$1

$1

$1

$0.92

$0.86

$0.81

$0.78

$0.75

TABLE 2
Effects of Additional Borrowing in Second Year
Debt issued in second year

$0

$50

Net revenue in second year

$0

$37.50

Net revenue in third year if output is $50

$0

$0

Net revenue in third year if output is $100

$50

$0

Net revenue in second year plus average net revenue in third year

$25

$37.50

Price of debt in second year

$1

$0.75

Probability of default

0%

50%

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Business Review Q4 2013 5

debt. Consequently, lenders will price
the first-year debt with the expectation that the country will issue $50
more of debt in the second year, which
means that the value of each $1 of
debt issued in the first year will be only
$0.75. Thus, the country will have net
revenue of only $37.5 (= $0.75 × $50
of debt) in the first year.
One of the fundamental reasons
countries (or people for that matter)
borrow is that they would rather have
money sooner rather than later. If this
is the case, our example shows that the
country would be better off if it could
commit to not borrow in the second
year. To see this, notice that the net
return to the country in the three

PROPOSED REMEDIES for THE
DEBT DILUTION PROBLEM
Given the vulnerability of countries
to the debt dilution problem, remedies
have been proposed to solve it.10
Seniority of Existing Debt and
Debt Dilution. One solution to debt
dilution is to make existing creditors
senior claimants to the debt. A seniority clause implies that whatever is
recovered following default is distributed to the bondholders in the order in
which the bonds were issued. That is,
bonds issued earlier must receive distribution before bonds issued later can
receive any distribution. The seniority
clause makes a debt dilution problem
less severe because, with seniority,

Although imposing seniority would be a good
solution to the debt dilution problem, it does
require a major institutional change in the way
sovereign debt contracts are structured.
years is $50, 0, and $25, respectively.
When the country, instead, borrows
$50 more in the second year, its net
revenues across the three years are
$37.50, $37.50, and $0. So long as the
country prefers to have net revenues
earlier rather than later, it would prefer
the net revenues it would receive if it
could commit not to borrow in the
second year.9

9
To see this, suppose that the country values
net revenues in the first year twice as much as
it values net revenues in the second and third
years. Then the value of the net revenue stream
if it can refrain from borrowing in the second
year is $50 × 2 + $0 + $25 = $125. And the
value of the net revenue stream if it borrows an
additional $50 in the second year is $37.50 ×
2 + 37.50 + $0 = $112.50. There is nothing magical about valuing first-year revenues
twice as much as later-year revenues. One can
show that as long as the country values earlier
net revenues even slightly more than later net
revenues, then the country would prefer the net
revenue stream under commitment of no borrowing in the second year.

6 Q4 2013 Business Review

issuances of new debt have a smaller
impact on the price of outstanding
debt. New debt has the lowest value
among all existing debt because in the
case of default, the last issued (most
junior) bond will recover something
only if all of the more senior bondholders are paid in full. The fact that the
more senior debt either does not suffer
from capital losses or suffers to a more
limited degree reduces the extent to
which the debt is diluted and mitigates
losses to the country. One of the first
studies to show the effect of seniority on debt dilution was by Eugene
Fama and Merton Miller in 1972, and
10
It is worth noting that we do see countries in
a position to dilute the value of their existing
debt. For instance, between 1994 and 2001,
Argentina issued debt with an average maturity
of five years, and it issued debt around once a
month. Thus, at each point at which it issued
new debt, it had the opportunity to dilute the
value of existing debt.

since then, many other economists
have worked on the problem. Patrick
Bolton and Olivier Jeanne suggest that
seniority may be one way to resolve the
debt dilution problem in the sovereign
debt market. In my working paper with
Satyajit Chatterjee, we estimate that if
Argentina used the seniority clause in
its sovereign debt, it would experience
a gain that is worth around 2 percent
of its annual consumption per year.
Although imposing seniority
would be a good solution to the debt
dilution problem, it does require a
major institutional change in the way
sovereign debt contracts are structured. Almost no sovereign bonds
carry seniority clauses, except for loans
from the International Monetary Fund
and World Bank, which typically have
higher seniority relative to other types
of loans. Since imposing seniority
might be costly to accomplish, other
mechanisms have also been suggested.
Avoiding Long-Term Debt.
Another proposed remedy is to use
short-term debt instead of long-term
debt. By short term I mean that the
country does not do any new borrowing until its existing debt matures. For
example, the average maturity of debt
for Argentina is around five years, and
it borrows at a frequency of around
once a month. If Argentina borrowed
in bonds that matured in one month
and paid off its maturing debt at the
time it issued new debt, it would get rid
of its debt dilution problem.
How does short-term debt solve
the debt dilution problem? As the
country issues more debt, the price
for both the existing bonds and the
bonds that are up for sale will decrease
(because of the higher default risk
resulting from the new issuance). The
country, of course, cares about the fall
in the value of the new issuances and
would limit the supply of new issuances
(and the default probability) accordingly, but it does not care about the
negative effect that new issuances have
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on the value of existing debt. However, when the debt is short term (zero
outstanding debt), all debt is new debt.
Thus, the country bears the full cost of
issuing more debt. This would be good
for the country, as it would borrow less
and have a lower default probability
and, therefore, pay a lower interest rate
on its debt.
This raises a second question: If
short-term debt is better for the country (because it solves the debt dilution
problem), why do countries borrow
using long-term debt? The answer
proposed by Harold Cole and Timothy
Kehoe is related to the possibility of a
rollover crisis. A rollover crisis occurs
if the country is willing to pay back
its maturing debt only if it can issue
enough new debt, but it will default
if lenders refuse to buy the new debt,
that is, it cannot roll over its current
debt into new debt. This can happen if
paying off the maturing debt without
engaging in new borrowing drastically decreases the country’s current
consumption. Faced with the prospect
of low consumption, the country may
prefer default if lenders refuse to buy
its new debt. This creates a problem
when the country is borrowing from a
large number of lenders, each of whom
is supplying only a small portion of
the country’s total borrowing. Then
each lender will need to keep an eye
on what other lenders are doing, since
no lender on its own can meet the borrowing needs of the country.
To see why the country is now
vulnerable to a rollover crisis, we can
consider a simple example. Imagine
that if the country is able to issue $100
more of debt, it will not default, but
for any lesser amount, it will choose to
default. If each lender is able to lend a
maximum of only $10, each will be on
the lookout for whether other lenders
will choose to lend. Any one lender
will not want to lend if there aren’t
enough other lenders to prevent the
country from defaulting. A rollover criwww.philadelphiafed.org

sis occurs when new lenders lose confidence that other new lenders will step
up and lend to the country. Thus, they
stop lending and the country defaults.
The article by Harold Cole and
Timothy Kehoe and my article with
Satyajit Chatterjee show that a country is more vulnerable to a rollover

In summary, although short-term
bonds get rid of the debt dilution
problem, the country is left vulnerable
to another type of problem, namely,
rollover crises.
Taxing New Debt. Juan Carlos
Hatchondo and Leonardo Martinez
propose another solution. They pro-

Faced with the prospect of low consumption,
the country may prefer default if lenders refuse
to buy its new debt.
crisis when it is borrowing short term
because, with short-term debt, each
period a much bigger portion of debt
matures that has to be rolled over, for
which new borrowing has to be made.
For example, let’s say that each quarter
a country borrows using bonds that
mature at the end of the quarter. If for
some reason lenders lose confidence
and will not lend further to the country, then it will not be able to pay back
its obligations. This has a self-fulfilling
aspect to it. Since lenders know that
the country would default if it cannot
issue enough new bonds, lenders may
become hesitant to make new loans,
and their lack of confidence is vindicated by the country’s subsequent default.
In contrast, if the country’s
outstanding debt is long term, it will
be much less susceptible to rollover
crises. If the country issues and holds
only five-year bonds, on average, only
5 percent (1/(5 years × 4 quarters)) of
its debt will be maturing each quarter,
and the country would be paying back
its debt much more easily than when it
has to roll over 100 percent of its debt,
even if it is unable to get new loans. If
the country is able and willing to pay
back its debt even without the issuance
of new bonds, it will avoid a rollover
crisis because each lender would be
willing to lend (roll over) even if other
lenders do not.

pose that whenever a country issues
new debt, a predetermined portion of
the revenue be distributed to existing
creditors. This “tax” on the revenue
from new bond sales serves as compensation to existing bondholders for the
capital loss they suffer because of the
new borrowing. This leads the country
to recognize the cost its new borrowing imposes on existing creditors. The
mechanism resembles a tax imposed
on activities that create negative side
effects so that the activities are undertaken less intensively (a well-known
example is a pollution tax). However, it
is important to note that the negative
side effects fall on foreigners, while
the tax is collected on residents. Even
though the country benefits in terms of
a lower interest rate on its debt, it may
be politically challenging to implement
such a tax and adhere to it over time.
CONCLUSION
Sovereign debt problems are
looming in many countries. The debt
dilution problem has contributed to
the very high levels of debt countries
have taken on. When countries issue
new debt without internalizing the
costs that existing creditors bear, they
tend to take on excessive levels of debt.
Imposing seniority on debt or taxing
issuances of new debt are possible solutions to make debt crises less frequent.
Business Review Q4 2013 7

REFERENCES
Borensztein, Eduardo, and Ugo Panizza.
“The Costs of Sovereign Default,” IMF
Staff Papers, 56:4 (2009), pp. 683-741.

Cole, Harold, and Timothy Kehoe. “SelfFulfilling Debt Crises,” Review of Economic
Studies, 67:1 (2000), pp. 91-116.

Hatchondo, Juan Carlos, and Leonardo
Martinez. “Debt Dilution and Sovereign
Default Risk,” mimeo (2011).

Bolton, Patrick, and Olivier Jeanne.
“Structuring and Restructuring Sovereign
Debt: The Role of Seniority,” Review of
Economic Studies, 76 (2009), pp. 879-902.

De Paoli, Bianca, Glenn Hoggarth, and
Victoria Saporta. “Output Costs of Sovereign Crises: Some Empirical Estimates.”
Bank of England Working Paper 362
(2009).

Reinhart, Carmen M. and Kenneth S.
Rogoff. “Serial Default and the ‘Paradox’
of Rich to Poor Capital Flows,” American
Economic Review, 94 (May 2004), pp. 5358.

Fama, Eugene F., and Merton H. Miller.
The Theory of Finance. Hinsdale, Ill.:
Dryden, 1972.

Sturzenegger, Federico, “Toolkit for the
Analysis of Debt Problems,” Journal of Restructuring Finance, 1:1 (2004), pp. 201-203.

Chatterjee, Satyajit, and Burcu Eyigungor.
“Maturity, Indebtedness and Default Risk,”
American Economic Review, 102:6 (2012),
pp. 2,674-2,699.
Chatterjee, Satyajit, and Burcu Eyigungor.
“A Model of Sovereign Default Risk with
Seniority: An Application to the Problem
of Debt Dilution,” Federal Reserve Bank of
Philadelphia Working Paper 12-14.

8 Q4 2013 Business Review

Furceri, Davide, and Aleksandra Zdzienicka. “How Costly Are Debt Crises?,” Journal
of International Money and Finance, 31:4
(2012), pp. 726-742.

www.philadelphiafed.org

The Economics of Small Open Economies
By Pablo Guerron-Quintana

C

ountries, like families, incur deficits when expenditures
exceed income. Countries around the world finance their
deficits by issuing debt. This debt is bought by either
domestic or foreign investors. The United States, Canada,
Chile, Mexico, and South Korea are a few examples of
countries that borrow in international markets.1 The difference between,
say, the United States and Mexico is that the latter has little or no
control over the premium it pays on its international debt. In contrast,
the price of debt issued by the United States depends to a large degree
on its own characteristics, such as its domestic wealth, households’
preferences, and technology. This distinction between how much control
a country has over the interest rate on its debt determines whether a
country is called a small open economy. If, as in the case of Chile or
South Korea, the price of debt is determined by international markets,
then economists refer to these countries as small open economies. In
the next few pages, the reader will be introduced to the main economic
characteristics of this class of countries.

One of the defining features of
small open economies is that households and firms in these countries can
borrow and lend at an interest rate determined by international markets.2 But
not all small open economies are alike.
Take, for example, our neighboring
countries Canada and Mexico. Historically, economic fluctuations in Mexico
have been more volatile than those in
Canada. Furthermore, consumption

1
One reason countries borrow in international
markets is to smooth consumption. For details,
see the Business Review article by George Alessandria.
2
See the lecture notes by Stephanie SchmittGrohe and Martin Uribe.

displays more variability than gross
domestic product (GDP). That is, for
each percentage point that production
changes in Mexico, its consumption
tends to move by more than 1 percent.
Small open economies that share
Mexico’s business cycle features described in the previous paragraph are
often referred to as developing small
open economies. Canada and other
small open economies with similar aggregate fluctuation patterns are known
as developed small open economies.
Another important difference
between developing and developed
small open economies is that whereas
the former have defaulted in the past
few decades on their international debt

Pablo Guerron-Quintana is an economic advisor and economist at
the Federal Reserve Bank of Philadelphia. The views expressed in this
article are not necessarily those of the Federal Reserve. This article
and other Philadelphia Fed reports and research are available at www.
philadelphiafed.org/research-and-data/publications.

www.philadelphiafed.org

obligations, the latter countries have
consistently met their outstanding borrowing claims.
The recent developments in several European countries, such as Spain
and Portugal, make studying small
open economies timely. It is important
to draw similarities with (and possibly
learn lessons from) the experiences of
countries traditionally considered to be
developing small open economies.
DEVELOPED VERSUS
DEVELOPING COUNTRIES
Economists usually discuss the
problem of international indebtedness in terms of the interest rate on
debt rather than the price.3 Roughly
speaking, price and interest rates
are inversely related. To understand
this relationship, consider a 10-year
Treasury bond.4 Holding this bond is
attractive because it pays a fixed interest rate every six months plus its face
value at maturity, that is, 10 years after
issuance. Suppose you hold a bond
that was issued last year that pays an
interest rate of, say, 3 percent. If the
government issues a new bond today
with an interest rate of 4 percent, then
your bond suddenly looks less attractive because it pays less. As a consequence, people prefer the new bond
over yours, which leads to a decline in
the demand for bonds issued last year.
Less demand, in turn, implies that the
price of the old bond has to decline.

3
With international indebtedness, I refer to
total international borrowing by a country, i.e.,
debt issued by the government and the private
sector.

In the finance jargon, this bond is called a 10year Treasury note.

4

Business Review Q4 2013 9

The interest rate that a country
pays on its debt can be analyzed as the
sum of a country-specific component
and an international element. By definition, the former depends entirely on
the country’s (economic, political, and
geographical) features. For instance, by
limiting people’s savings choices to domestic instruments, a government can
influence the country-specific component of the interest rate on its debt.5 In
contrast, the international element is
determined by the collective borrowing
and lending decisions of participants
in international debt markets around
the world. Examples of these players include, among others, individual
investors, banks, multinationals, hedge
funds, and pension funds.
To put it simply, a country is considered a small open economy when
it takes as given the interest rate on
its debt. In principle, the small open
economy can issue as much debt as it
desires as long as the country accepts
the interest rate and its debt remains
within the country’s borrowing limits.
Figure 1 plots the interest rate on debt
on the vertical axis and the quantity
of debt on the horizontal axis. In this
figure, the supply of debt is decreasing
because for each dollar the small open
economy borrows from the world, it
has to pay a higher interest rate on it.6
In the same figure, the demand for
the country’s debt is flat at some given
interest rate. This means that international markets are willing to buy
the small open economy’s debt as long
as they receive their desired interest
payments. Equilibrium happens at the
point at which supply equals demand.
In our example, this equilibrium level
dictates that the small open economy

This type of saving limitation was commonplace in the first part of the 20th century, but it
has fallen out of favor since then.

5

Think about your credit card. The higher the
monthly interest rate, the less attractive it is for
you to borrow.
6

10 Q4 2013 Business Review

FIGURE 1
Supply and Demand in Debt Markets

issues about four units of debt and pays
an interest rate of 3 percent.
To be precise, Figure 1 is a snapshot of the country’s debt market. That
the demand line is flat at 3 percent
does not necessarily mean that it will
be at that level next month. In fact,
demand will most likely change over
time. In small open economies, these
fluctuations are, to a large extent,
independent of the country’s economic
fundamentals, such as productivity
or its labor market. This is because
demand depends on foreign investors’
view of not only the small open economy but also of international markets.
An important feature of debt
markets in small open economies
is that the demand schedule moves
because of domestic as well as foreign
considerations. For example, following
the Asian crisis in 1998, international
markets became more cautious and
demanded less sovereign debt around
the world.7 This means that Mexico,
say, had to pay a larger interest rate to
sell its debt. What is surprising about

this situation is that the spike in interest rates is unrelated to the Mexican
economy. In Figure 1, this external
component in Mexico’s debt market
would be reflected as an upward jump
in the demand schedule.
Figure 2 displays the interest rate
premiums paid by some developing
small open economies (Brazil, Ecuador,
Mexico, and Turkey). This premium
corresponds to the Emerging Markets
Bond Index (EMBI) calculated by J.P.
Morgan and is expressed in annualized percentages. It is a rough measure
of how much foreign lenders request
on top of the prevailing international
rate to lend to emerging countries.8 In
January 1998, Brazil’s EMBI was 5.82
and the three-month Treasury bill rate

7
Sovereign debt refers to bonds issued by a
national government in order to finance its
expenditures.
8
Two measures of the international interest rate
typically used in the literature are the LIBOR
(London interbank offered rate) or the threemonth Treasury bill rate.

www.philadelphiafed.org

FIGURE 2
Interest Rate Premiums on Short-Term Debt

was 5.00. Together, these numbers imply that international markets charged
at least 10.82 percent for short-term
(three months or less) loans to Brazil.
We can observe that as the Asian
crisis unraveled in 1998, the EMBIs for
all countries in our sample moved up,
even though these countries were located in different regions of the world
(Brazil’s EMBI reached 14.56 basis
points in January 1999). This is a clear
example of how spreads in emerging
economies depend on external factors.
In contrast, interest rates in largescale economies such as Japan and the
United States are determined by their
domestic markets. In other words, the
demand curve for Japanese or U.S.
debt is upward sloping. The higher
the amount of debt in the market, the
higher the interest rate international
markets demand in exchange. More
important, the interest rate is dictated
by the country’s fundamentals such as
productivity, households’ preferences,
attitudes toward risk, and technology.
This means that unless these factors
change, the demand schedule does not
change. To further visualize this effect,
Figure 2 also plots the yields on shortwww.philadelphiafed.org

term sovereign debt in Canada and
the U.S. during the last several years.
In sharp contrast to the yields of some
other countries’ short-term debt, U.S.
and Canadian yields barely moved during the Asian crisis or more recently
during the 2008 financial crisis.
Another interesting feature of
some large economies is that exports
and imports play a small role in economic activity. A traditional measure
of openness (how much a country
trades with the rest of the world) is the
ratio of exports plus imports to GDP.
A higher number is usually interpreted as a sign of a more open (in the
trade sense) country. This number is
also a rough indicator of how much a
country’s finances rely on international
trade. The more a country imports
and exports, the more dependent the
country is on international markets. By
the end of 2011, this ratio was around
0.30 for the U.S. and 0.65 for Canada.
These numbers indicate that the latter
country traded more heavily with the
rest of the world.
Table 1 presents our measure of
trade openness for several countries
around the world. Whereas Japan and

the U.S. are relatively closed economies, Sweden and Germany depend
on international trade. Among large
economies, Germany is the only one
that is open. In contrast, economies
considered small (Australia, Canada,
Chile, Mexico, and Sweden) trade substantially with the rest of the world.
To further illustrate the distinction between small and large
economies, Table 1 presents the ratio
between the country’s GDP and world
GDP in 2011. One can see that while
large economies like the U.S. and Japan each accounted for more than 10
percent of world GDP, small countries
like Canada or Chile accounted for
only a small share of the total world
output in 2011.
Although small open economies
share the feature of being price-takers
in international bond markets — that
is, they do not influence prices in the
marketplace — they differ substantially in other dimensions. Consequently,
economists sort these countries into
two types: developed (or industrialized)
economies and developing (or emerging) economies. This classification was
originally proposed in the 1980s by
World Bank economist Antoine van
Agtmael. A country is considered to
be developing or emerging if it is in the
early stages of economic development
characterized by lower income per capita and lower life expectancy compared
with developed countries.9
In spite of this deceptively simple
classification, there is no consensus
about where the distinction between
developed and developing vanishes.
Indeed, there are many lists of emerging and developed economies compiled
by institutions like the International

9
On average, emerging economies have
one-fifth the income per capita of developed
economies and a life expectancy that is at
least eight years shorter than that in developed
countries (World Bank’s World Development
Report 2000-01).

Business Review Q4 2013 11

TABLE 1
Trade Openness and GDP in 2011
Australia

Canada

Chile

Germany

Japan

Mexico

Sweden

U.S.

Trade openness

0.42

0.65

0.73

0.84

0.31

0.65

0.94

0.30

GDP

0.013

0.021

0.003

0.05

0.119

0.017

0.007

0.276

Trade openness is defined as the ratio of exports plus imports to output; GDP is the country’s output as a fraction
of world output, both computed using constant 2000 U.S. dollars.
Source: International Financial Statistics

Monetary Fund (IMF), Columbia
University’s Emerging Market Global
Project (EMGP), Standard and Poor’s
(S&P), and The Economist.10
To avoid these conflicting views
about the definition of emerging countries, we rely on more concrete quantitative measures based on the businesscycle properties of these economies.
To this end, one useful concept is the
standard deviation (volatility) of GDP
in a country. This statistical concept is
typically expressed in percentage units
and measures how much the variable
in question fluctuates over time around
its mean. Higher standard deviation
translates into higher dispersion.
We also rely on a second concept:
correlation. The correlation between,
say, interest rates and output measures
how much the two variables co-move
over time. The correlation takes values
between –1 and 1. A positive value
means that the two variables (in our
example, output and interest rates)
move in the same direction over time.
In contrast, a negative correlation
indicates that they move in opposite
directions: Output is increasing, and
interest rates are declining.

To have an idea of the disagreement, whereas
the IMF and EMCP classify Argentina as an
emerging economy, The Economist and S&P
exclude Argentina from their emerging markets
lists.
10

12 Q4 2013 Business Review

With these definitions in place,
we are ready to discuss developed and
developing small open economies.
DEVELOPED SMALL OPEN
ECONOMIES
Developed small open economies have several salient features.
First, their business-cycle volatility
(as measured by the standard deviation of their GDP growth) is usually
comparable in size to that seen in large
and wealthy nations such as Germany,
Japan, and the U.S.
The second characteristic of
developed small open economies is
that their consumption follows paths
that are smoother than those followed
by output. In such cases, economists
say that consumption is smoother
than output. Consumption smoothing is possible in developed economies
because people have access to financial markets. For example, suppose
a person is laid off. Access to those
markets implies that this person can,
in principle, borrow to smooth out his
decline in income. This means that
consumption does not drop by as much
as the contraction in income. By the
same token, if this person’s income
increases, he will save part of the
extra income for the future. Access to
financial markets facilitates saving the
additional income. Overall, consumption moves less than output.

Another interesting feature of
developed small open economies is
that interest rates are procyclical. This
means that, for example, an increase in
economic activity is usually associated
with an increase in interest rates today
and in the near future.
Table 2 lists some developed and
some emerging small open economies.
To facilitate comparison, the table also
contains some features of the data for
the U.S.11
DEVELOPING SMALL OPEN
ECONOMIES
In contrast to developed small
open economies, emerging small open
economies experience substantially
more volatile business cycles. For example, the volatility of GDP in Mexico
(an emerging small open economy) is
around 3 percentage points. The volatility of Canada’s GDP is about half of
Mexico’s.
Consumption in most emerging
economies displays fluctuations that
are larger than those of output. As a

11
It should be noted that the proposed classification is not perfect, either. Norway is a rich
and developed economy by any measure. For
instance, its GDP per capita in 2011 was about
30 percent larger than that in the U.S. Yet,
Norway has a consumption profile that is more
volatile than its output. Hence, Norway meets
one of the criteria to be classified as a developing economy.

www.philadelphiafed.org

TABLE 2
Business Cycles Around the World
Small Open Economies
Emerging Economies

Developed Economies

Argentina

Mexico

Philippines

Australia

Canada

New
Zealand

United
States

Standard deviation of
output

4.22

2.98

1.44

1.19

1.39

1.99

1.59

Standard deviation of
consumption to standard
deviation of output

1.08

1.21

0.93

0.84

0.74

0.82

0.77

Standard deviation of
investment to standard
deviation of output

2.95

3.83

4.44

4.13

2.91

3.32

4.10

Standard deviation of net
exports to GDP

0.34

0.76

2.30

0.86

0.55

0.66

0.64

Correlation of output and
net exports to GDP

– 0.89

– 0.87

– 0.40

– 0.59

– 0.01

– 0.06

– 0.48

Correlation of output and
interest rate

– 0.63

– 0.49

– 0.53

0.37

0.25

0.07

0.18

Source: Neumeyer and Perri (2005) for Small Open Economies and Fernandez-Villaverde et al. (2012) and Corsetti et al. (2008) for the U.S.

consequence, the volatility of consumption is greater than the volatility
of output. For instance, the volatility
of consumption in Mexico is 1.21 times
that of output. In contrast, this number is about 0.74 for Canada.
A third important characteristic of
emerging countries is that the interest
rate on their debt experiences abrupt
movements over time. As shown in Figure 2, yields on Brazilian debt jumped
about 5 percentage points in a matter
of months during the 1997-98 Asian
crisis. Most developed small open economies have never seen such an abrupt
change in their interest rates (at least
until the recent European crisis; I will
get back to this in the final section).
Related to the previous point,
interest rate hikes (arising, for example, from contagion in international
markets) in emerging economies are
typically followed by a contraction
in economic activity; that is, output,
consumption, and investment conwww.philadelphiafed.org

tract. These opposing movements
in output and the interest rate are
captured by the negative correlations reported in Table 2 for our three
emerging economies.12
Other features of emerging
economies are also often emphasized.
In their book, Paul Krugman and
Maurice Obstfeld stress that, in addition to the characteristics discussed
above, these countries tend to have
high inflation and weak financial
systems; their exchange rates are, to a
large extent, influenced by their local
government; and their economies rely
heavily on commodities (natural and/
or agricultural resources).
Finally, it seems that there is no

The decline in fortune following the spike in
interest rates is typically accompanied by a rise
in imports and a collapse of exports. See the
study by Guillermo Calvo, Alejandro Izquierdo,
and Luis Mejia. An example of this behavior is
the decline in production that Brazil experienced following the Asian crisis.

12

clear difference regarding the evolution of net exports. According to Table
2, net exports have been less volatile
than output in both developing and
developed economies. The exception
is the Philippines, which displays more
volatility in net exports. A closer look
at the data, however, reveals that developing countries display on average
a strong negative correlation between
net exports and output. Furthermore,
emerging economies tend to run large
trade deficits (imports are larger than
exports) prior to crises. Subsequently,
the trade account turns into a surplus
as the emerging economy reduces its
imports from abroad and the weakening of its currency boosts exports. In
contrast, developed countries have run
persistently large trade deficits, e.g.,
Canada and the U.S.13

See the study by James Nason and John Rogers for a discussion of the trade account.

13

Business Review Q4 2013 13

WHY ARE DEVELOPED AND
DEVELOPING COUNTRIES SO
DIFFERENT?
To explain the marked differences
between emerging and developed small
open countries, economists have advanced several theories.
One theory argues that international markets take a dimmer view
of debt in emerging economies. As a

consequence, investors demand higher
returns to hold debt from developing
small open economies.14 Moreover,
investors’ risk appetite for these securities tends to change quickly as the
small open economy’s fundamentals
such as technology and conditions in
14
See the study by Andy Neumeyer and Fabrizio
Perri.

other emerging countries also change.
This changing attitude results in
abrupt movements in interest rates that
the emerging countries have to pay.
To the extent that the country meets
its debt obligations, a sudden increase
in interest rates implies that fewer
resources are available to consume and
invest. If the labor supply cannot sufficiently adjust in response to the shock,

The Cost of Default

T

he decision to repay debt issued by both emerging and developed countries depends entirely on the country’s willingness to do so. Default happens when the country decides to stop repaying its debt.a
Historically, developing countries have tended to default on their international borrowing obligations. For instance, Chile, Brazil, and Ecuador have defaulted nine times since 1800. Over that same
time span, Greece and Spain have defaulted five and 13 times. In contrast, Australia and Canada have
dutifully paid their obligations during the same period.b These observations raise the interesting question
of why some countries default and others repay.
Intuitively, a country (like a household) might opt to default whenever its income is not sufficient to cover its
outlays (one of which is debt repayment). However, if a country defaults, it is typically excluded from the international
market, which means that it cannot borrow from abroad. As a consequence, defaulting is an intertemporal (dynamic)
decision in which present and future considerations matter. This temporal aspect of default makes it an interesting (and
difficult) problem to analyze.
More specifically, a country may choose to default during periods of low economic activity to redirect resources
from foreign debt repayment to domestic consumption and investment. However, if a country stops repaying its foreign obligations, it will be excluded from international capital markets. This means that in the foreseeable future, it
will not secure loans from foreigners. This exclusion is problematic during periods of high productivity when the small
open economy wants to borrow to
consume and invest more (to take
advantage of the good times).
Figure A: An Increase in Demand for Bonds
Economists have found that
countries are more likely to default
if 1) countries are impatient; that is,
they care less about the future; 2)
the burden of debt is large relative to
the country’s gross domestic product;
and 3) the interest rate at which international markets willingly buy the
country’s debt is high; the likelihood
of default also depends on how productive the country is in the period
when it’s considering default.c

a
For additional details, the interested reader
can consult the article by Burcu Eyigungor in
this issue of the Business Review.
b

c

See the 2008 paper by Reinhart and Rogoff.
See the article by Cristina Arellano.

14 Q4 2013 Business Review

www.philadelphiafed.org

consumption follows a more volatile
pattern. Furthermore, the collapse of
domestic demand (consumption plus
investment) induces producers to cut
production, which leads production
and interest rates to move in opposite
directions. That theory provides an
explanation behind the negative correlation reported in Table 2.
A second theory proposes that the

disturbances buffeting developed and
developing economies are different in
nature.15 For the former countries, the
argument goes, shocks tend to be predominantly short-lived; that is, their
impact washes away after a few quarters. In contrast, shocks persist for sevSee the study by Mark Aguiar and Gita
Gopinath.

15

eral quarters or even years in emerging
countries. As a result, households in
these economies have to significantly
adjust their consumption in response
to these shocks. This is because households understand that the decline in
income will be highly persistent and
hence fewer resources will be available
to consume in the future. The opposite
arises in developed economies: Shocks

The risk of default changes the dynamics between borrowers and lenders in sovereign markets. International
markets are no longer willing to take debt from the small open economy at the international interest rate. Indeed,
when buying sovereign debt, foreign investors demand an interest rate that includes a premium that depends on how
likely it is that the small open economy will default. In other words, this premium is a compensation that lenders
demand, on top of the international risk-free rate, to cover the loss arising when the sovereign country reneges on its
obligations. More pointedly, if a country experiences a downturn (perhaps due to a bad crop or the collapse of commodity prices) and suddenly there are fewer resources with which to repay debt, investors will likely charge a higher
interest rate to purchase new debt issued by the small open country.
Let’s consider the case in which foreign investors charge the small open economy a constant premium. Figure A
shows the vertical displacement in the demand schedule for sovereign debt (the dotted line corresponds to the case
in which there is no premium). Note that lenders happily buy debt as long as they receive their desired interest rate,
which is 3.2 percent in our example. Since the interest rate is higher than before, the small open economy finds it
more expensive to issue debt, and hence it sells only a small amount.
The more realistic situation corresponds to the one in which foreign markets charge a variable interest rate. In
particular, let’s consider the case in which investors demand interest rate payments that are increasing in relation to
the amount of outstanding debt (see Figure B). Under this new situation, if the sovereign country wants to sell more
debt in foreign markets, it has
to be ready to pay an increasing
premium. As stressed before, the
Figure B: An Upward Sloping Demand for Bonds
intuition is that foreign lenders
worry that the country’s ability
to repay its obligations decreases
with new debt issuance. Hence,
lenders charge a higher premium to recover their loans more
quickly. Eventually, debt issuance
by the sovereign reaches a point
that is beyond the country’s ability
to repay. Beyond this point, the
interest rate is too high for the
sovereign to sell debt. This is captured by the vertical line in Figure
B for a debt level of 4.8.

www.philadelphiafed.org

Business Review Q4 2013 15

have a short duration, so households
can borrow resources from abroad to
smooth out the impact of the changes
in consumption resulting from the
shocks. A drawback to this theory
is that it is silent about the negative
correlation between production and
interest rates.
A third theory conjectures that
information is less readily available in
emerging economies.16 Hence, when
a developing country is hit by a new
disturbance, it is difficult to disentangle
the nature of the shock, namely, whether it is temporary or persistent. Households tend to overreact to this lack of
information by excessively contracting
or expanding consumption. To see this
point, let’s suppose a worker is granted
a wage increase this year. The increase
is likely to be permanent, but it is not
guaranteed. If the worker believes the
increase in wages is permanent, she
will borrow and consume more than
the wage increase. This is because she
believes more income will be available
down the road. However, if the spike
in wages turns out to be temporary, the
worker will be forced to decrease her
consumption. In fact, consumption will
be lower than before the wage increase,
since the worker has to repay the loans
she took out to fund the extra consumption. Clearly, consumption is very
volatile in this environment.
In contrast, information is more
widespread in developed countries,
which reduces the incentives to overreact. Going back to our example, if
the worker knows that the increase in
wages is permanent, she can plan accordingly. There is no excess consumption (when she receives the news about
the increase) followed by a contraction
(when she learns that the offer is temporary). Consumption follows a more
stable pattern.

THE RECENT
EUROPEAN CRISIS
Since the onset of the financial
crisis in 2008, some European countries have run large deficits, and they
pay large premiums on their debt.
Hence, the lessons learned from the
sovereign debt crises of developing
economies will likely be relevant in the
years to come.
Small open European economies are considered to be developed
economies in the sense that they share
business-cycle properties similar to
those of Australia or Canada. Furthermore, small European economies
enjoyed (until recently) easy access
to international debt markets. As a
consequence, demand for their debt
involved relatively low premiums.
Yet, since the Great Recession
(2007-09), public finances in countries
such as Ireland, Spain, and Portugal
have been under significant pressure.
International markets are growing skeptical about the ability of those countries
to repay their borrowing obligations.
Not surprisingly, the interest rate
paid by those European countries
spiked. Figure 3 displays the interest

rates in annualized percentage points
on two-year bonds in some European
countries as well as Canada. It is immediately clear from this figure that
the yields for Ireland and Portugal
skyrocketed during the recent crisis.
As an example, the interest rate on
Portugal’s debt shifted from 200 basis
points in late 2009 to almost 1,700
basis points by mid-2011. This sudden spike is in sharp contrast to the
declining interest rates in Germany
and Canada. Ultimately, the already
low economic activity in Ireland,
Spain, and Portugal has been severely
curtailed by the increasing burden of
international debt.
It is surprising to see that unlike
their European counterparts, small
open economies in other regions,
such as Latin America and Asia,
have weathered the crisis quite well.
For example, the country premiums
in Brazil and Mexico have remained
around 200 basis points over the last
two years.
Interestingly, the recent events in
European countries such as Portugal
and Spain share many similarities with
what happened during the Asian crisis

FIGURE 3
Interest Rate Premiums on Two-Year Bonds

16
See the study by Emine Boz, Christian Daude,
and Bora Durdu.

16 Q4 2013 Business Review

www.philadelphiafed.org

in 1998 and the Latin American crisis
of the early 1980s. As we noted above,
premiums on sovereign debt in Portugal
and Spain have reached levels not seen
in recent history. The same spikes were
seen in Latin America and Asia during
their respective financial crises. The
burden of debt in the small open European economies has been on the rise
over the last five years. Emerging economies also faced an increasing burden
from foreign obligations during periods
of financial distress. Figure 4 displays
the ratio of total public debt to output
in different small open economies.17

17
Total public debt corresponds to debt issued at
home and in international markets, as reported
in the 2010 paper by Carmen Reinhart and
Kenneth Rogoff.

A key difference between small
open European economies and developing economies in previous crises is
that some of the latter countries are
commodity exporters. For instance,
Chile (which defaulted in the 1980s)
exports copper, and Ecuador (which
defaulted in the late 1990s) exports oil.
This is important because, upon default, the countries continued exporting commodities to mitigate the effects
of being excluded from international
capital markets. In contrast, since
Greece does not export commodities,
its attempts to repay its debt are more
complicated.
A second important difference is
that emerging economies have resorted
to currency depreciations to make
their exports cheaper in international

FIGURE 4
Debt-GDP Ratio in Small Open Economies

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markets, albeit temporarily. The boost
in exports partially alleviated the
financial needs of these countries. Portugal and Spain use the euro as their
official currency. Since the value of the
euro is determined by an external and
independent monetary authority (the
European Central Bank), boosting exports via depreciations that lower real
wages is a tool that is not available to
those countries.
CONCLUSION
This article has introduced the
reader to the concept of small open
economies. It has done so by outlining the key differences between those
countries that are considered emerging economies, such as Mexico and
Turkey, versus those that are developed, such as Australia and Canada.
Defaults and country premiums were
also discussed.
Countries traditionally considered to be developing and defaultprone (e.g., Brazil, Chile, and Mexico)
weathered the 2007-09 international
financial crises with surprising ease.
Another important aspect in the recovery of these countries is that they
had access to currency depreciations to
boost their exports and hence improve
their finances, at least in the short run.
In contrast, countries such as
Greece, Ireland, Portugal, and Spain,
once believed to pose very low or no
risk of default, are now experiencing
difficulties in meeting their debt obligations. The crises in these countries
resemble, in part, episodes of financial distress in emerging economies.
The situation is also different because
the European economies do not have
access to commodities and lack their
own currencies, which have been crucial factors in the healing process postcrisis in several developing economies.

Business Review Q4 2013 17

REFERENCES
Aguiar, Mark, and Gita Gopinath.
“Emerging Market Business Cycles: The
Cycle Is the Trend,” Journal of Political
Economy, 115 (2007) pp. 69-102.
Alessandria, George. “Trade Deficits
Aren’t as Bad as You Think,” Federal Reserve Bank of Philadelphia Business Review
(First Quarter 2007).
Arellano, Cristina. “Default Risk and
Income Fluctuations in Emerging Economies,” American Economic Review, 98
(2008) pp. 690-712.
Boz, Emine, Christian Daude, and Bora
Durdu. “Emerging Market Business Cycles:
Learning About the Trend,” Journal of
Monetary Economics (forthcoming).
Calvo, Guillermo, Alejandro Izquierdo,
and Luis Mejia. “On the Empirics of Sudden Stops: The Relevance of BalanceSheet Effects,” NBER Working Paper
10520 (2004).

18 Q4 2013 Business Review

Corsetti, Giancarlo, Luca Dedola, and
Sylvain Leduc. “International Risk Sharing and the Transmission of Productivity
Shocks,” Review of Economic Studies, 75
(2008) pp. 443-473.
Eyigungor, Burcu. “Debt Dilution: When It
Is a Major Problem and How to Deal with
It,” Federal Reserve Bank of Philadelphia
Business Review (Fourth Quarter 2013).
Fernandez-Villaverde, Jesus, Pablo Guerron-Quintana, Keith Kuester, and Juan
Rubio-Ramirez. “Fiscal Volatility Shocks
and Economic Activity,” Federal Reserve
Bank of Philadelphia Working Paper 1132/R (2012).
Krugman, Paul, and Maurice Obstfeld.
International Economics: Theory and Policy.
Addison-Wesley (2003).

Neumeyer, Andy, and Fabrizio Perri. “Business Cycles in Emerging Economies: The
Role of Interest Rates,” Journal of Monetary
Economics, 52 (2005) pp. 345-380.
Reinhart, Carmen, and Kenneth Rogoff.
“This Time Is Different: A Panoramic
View of Eight Centuries of Financial Crises,” NBER Working Paper 13882 (2008).
Reinhart, Carmen, and Kenneth Rogoff.
“From Financial Crash to Debt Crisis,”
NBER Working Paper 15795 (2010).
Schmitt-Grohe, Stephanie, and Martin
Uribe. “International Macroeconomics,” Lecture notes, Columbia University
(2012), available at: http://www.columbia.
edu/~mu2166/UIM/notes.pdf.

Nason, James, and John Rogers. “The
Present-Value Model of the Current
Account Has Been Rejected: Round Up
the Usual Suspects,” Journal of International
Economics, 68 (2006) pp. 159-187.

www.philadelphiafed.org

Breaking the Ice:
Government Interventions in Frozen Markets
By Benjamin Lester

T

he recent financial crisis began with a fall in housing
prices in 2006, followed by an increase in delinquencies on
subprime mortgages in early 2007.1 As subprime borrowers
began to default on their mortgages, the value of assets
backed by these loans declined, resulting in substantial
losses on the balance sheets of many financial institutions in the United
States and across the globe. However, as many have noted, these losses
were too small to account for the crisis that followed.2 Therefore, a
central challenge in the aftermath has been to understand how relatively
small losses within the financial sector could be propagated and
amplified to the rest of the economy.

A leading theory contends that
after assets such as mortgage-backed
securities (MBS) began to fall in value,
what truly sparked the financial crisis
was the inability of financial institutions to reduce their leverage, either by
selling these assets and paying down
their debt or by raising new equity.
This freeze led to further declines in

1
For a detailed description of this sequence
of events, see the accounts by Gary Gorton or
Markus Brunnermeier.
2
For example, as Tobias Adrian and Hyun Shin
argue, the total value of outstanding adjustablerate subprime mortgages in 2008 was less than
$1 trillion. Therefore, even if an unprecedented
number of households defaulted on these
mortgages, total subprime losses would still have
been equal to just a small fraction of the decline
in the total market value of publicly traded companies that occurred between October 2007 and
March 2009, which was about $30 trillion.

asset values and ultimately reduced
credit to households, firms, and even
state and local governments. Without
access to credit, households reduced
their level of consumption, while firms
and government agencies contracted
by employing fewer workers and cutting back on capital investments. As
a result, the economy plunged into a
recession from which it has still not
fully recovered.
Economists have proposed a variety of explanations for why financial
institutions had difficulty selling assets
and raising new capital. One prominent explanation for why banks had
difficulty selling assets such as MBS is
that the market for them was plagued
by asymmetric information. When buyers cannot distinguish good assets from
bad ones, the highest price they’re will-

Benjamin Lester is an economic advisor and economist at the
Federal Reserve Bank of Philadelphia. The views expressed in this
article are not necessarily those of the Federal Reserve. This article
and other Philadelphia Fed reports and research are available at
www.philadelphiafed.org/research-and-data/publications.

www.philadelphiafed.org

ing to pay is an average of the values
they would normally attach to good
and bad assets. However, if sellers know
the quality of their own assets, then
sellers with good assets will choose not
to sell at this average price, leaving
only bad assets for sale in the market.
In this way, the market can unravel,
and good assets simply won’t trade.
A prominent explanation for why
financial institutions had difficulty
raising new capital is that they suffered
from debt overhang. According to this
explanation, a bank with large amounts
of risky debt will find it expensive to
issue new equity because the proceeds
of any new investments would accrue
first to the bank’s bondholders rather
than its shareholders. If this problem is
sufficiently severe, existing shareholders will oppose issuing new equity even
if doing so would generate profits (or
reduce losses) for the bank.3
Although economists have explored a number of alternatives, asymmetric information and debt overhang
offer two useful theories for understanding why banks found it so difficult to reduce their leverage.4 Using
3
To read more about the phenomenon of debt
overhang and the role it can play in financial
crises, see the Business Review articles by Satyajit Chatterjee and Burcu Eyigungor.
4
In his Business Review article, Yaron Leitner
provides a nice summary of several alternative
explanations for market freezes. For example,
asset markets can freeze and prices can plummet if market participants face binding capital
constraints. Alternatively, during times of
crisis and unusually high uncertainty, investors
sometimes behave as if they are extremely
risk-averse, which can stall trade. Finally, banks
might not want to sell assets for fear they would
have to mark other assets on their balance
sheets to the market price.

Business Review Q4 2013 19

these two theories, we can explore several forms of government intervention
that were proposed or implemented to
enable banks to reduce leverage and
restore liquidity to crucial markets.
WHY FINANCIAL
INSTITUTIONS COULD NOT
SELL ASSETS
While there are many reasons
that MBS and similar assets became
very difficult to sell, there is consensus
that a major factor was the presence
of asymmetric information. As housing prices fell and delinquencies on
mortgages rose, it became apparent
that some MBS could be worth considerably less than had previously been
claimed. In the language of Nobel laureate George Akerlof, these low-quality
assets were “lemons.” Of course, not
all MBS were lemons; many were
of higher quality, with fundamental
values at or near precrisis valuations.
However, these assets are fairly complex, and to make things worse, they
were combined to form even more
complicated securities. This bundling
made it very difficult for buyers to
differentiate high-quality assets from
low-quality assets. Sellers, on the other
hand, typically had a better idea about
the quality of the assets they owned. In
many cases, the sellers had purchased
the underlying assets (e.g., mortgages),
worked closely with the rating agencies to bundle them into more opaque
securities, and monitored their cash
flows before attempting to sell them.
Hence, this market had many
of the basic ingredients of Akerlof’s
(1970) “market for lemons”: Assets
were heterogeneous in quality, and
sellers had better information about
the quality of their assets than did prospective buyers. In his seminal paper,
Akerlof shows that these ingredients
can lead to a breakdown in trade. To
illustrate, suppose that the market is
composed of a large group of sellers,
half of whom own lemons (such as
20 Q4 2013 Business Review

MBS with many loans that are likely to
default) and half of whom own peaches
(such as MBS with few loans that are
likely to default). The owners of lemons are willing to sell for no less than
$100, while the owners of peaches are
willing to sell for no less than $200.
Buyers are willing to pay no more than
$120 for a lemon and $240 for a peach.
There is potential for trade as long as
the maximum price that buyers are
willing to pay exceeds the minimum
price that sellers are willing to accept.

a buyer would pay for a randomly selected asset would be $180 = (1/2) ×
$240 + (1/2) × $120. However, note
that owners of peaches aren’t willing
to sell for $180. As a result, owners of
peaches would drop out of the market,
leaving only lemons to trade (at some
price between $100 and $120). In realworld markets, where there are many
different asset qualities, this unraveling
can be even more alarming, as only the
very lowest-quality assets will trade;
the rest of the market will be frozen.6

While there are many reasons that MBS and
similar assets became very difficult to sell,
there is consensus that a major factor was the
presence of asymmetric information.
However, whether trade will actually occur depends critically on what
buyers and sellers know. If all market
participants can distinguish lemons
from peaches, then all assets will trade:
Lemons will sell at some price between
$100 and $120, and peaches will sell at
some price between $200 and $240.
However, suppose instead that
sellers know what type of assets they
own, but buyers cannot distinguish
lemons from peaches. It should be
clear that the two types of assets could
never sell at two different prices, as
owners of lemons would always choose
to pass off their assets as peaches in order to sell at the higher price.5 Therefore, at a given price, a buyer is willing
to pay only a weighted average of his
valuation across the two types of assets
for sale. In this market, since there is
an equal share of each type, the most

In the language of information economics, the
only possible equilibrium outcome is a pooling
equilibrium, in which lemons and peaches sell at
the same price. If the two types of assets sold at
different prices, economists would describe the
outcome as a separating equilibrium.

5

WHY BANKS COULD NOT
RAISE CAPITAL
As an alternative to selling their
assets, financial institutions could issue new equity to reduce leverage. Yet
this, too, proved difficult during the financial crisis. Again, there are a number of potential reasons for why this
was so, but a leading candidate is debt
overhang, which was first analyzed by
Stewart Myers. When a bank has risky
outstanding debt — i.e., when investors believe the bank may default on
its obligations to its bondholders —
the bank’s existing shareholders may
find it unprofitable to sell new shares,
given that these shares must be priced
at their fair market value. The reason

6
To see how unraveling works, note that all
assets must sell at the same price, and this price
must equal the average price for all qualities in
the market. Therefore, all sellers who own assets
that are more valuable than the average will
drop out of the market. However, after these
sellers withdraw, the only possible price is one
equal to the average value of the assets remaining in the market. Again, all sellers with assets
more valuable than the average will drop out.
Following this logic to its conclusion, only the
lowest-quality assets remain.

www.philadelphiafed.org

shareholders resist is that, should the
bank default, a portion (or even all) of
the proceeds from issuing new equity
would be used to increase the payoffs
to existing debt holders before any of
the bank’s shareholders would see a
single cent. Existing shareholders incur
the full cost of raising new capital, as
the value of their shares is diluted, but
they reap only a fraction of the benefit.
As a result, these original shareholders
may not support new issues even if it is
common knowledge that the bank has
investment opportunities that are sure
to deliver a positive return.7
To illustrate this phenomenon,
suppose a firm has $80 in debt and a
risky asset (e.g., a pool of MBS) that
will yield either $100 or $0 with equal
probability. If the asset yields $100, the
equity holders will repay the debt holders $80 and keep $20 for themselves. If
the asset yields $0, the firm will default
on the debt, and the equity holders will
have nothing. Hence, the expected
value of existing equity is $10 = (1/2)
× ($100–$80) + (1/2) × $0, while the
expected value of the debt claim is $40
= (1/2) × $80 + (1/2) × $0.
Now suppose the firm has an
investment opportunity that will cost
$25 but will return $40 with certainty.
Would the existing equity holders
choose to issue new equity — thereby
giving up a share of the firm’s profits
— in exchange for the $25 required to
finance this project? The answer de-

Note that the problem of debt overhang
described below does not require any information asymmetries between the bank and its
potential new equity holders. However, in the
absence of asymmetric information, there must
be a reason that the firm does not simply sell
assets to finance an investment. As discussed
in footnote 4, asset markets might freeze for a
number of other reasons. Moreover, some assets
are difficult to sell because their value depends
on an existing relationship; for example, a bank
may be able to enforce repayment of a loan
because it has an ongoing relationship with the
borrower, but this loan would be difficult to sell
to a third party who lacks this relationship.
7

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change for a $25 investment.
However, whether the original equity holders would agree to such a deal
depends on the expected value of their
share of the firm after the new equity
issue. If the original equity holders
must give up 5/6 of the firm’s profits
in exchange for the $25 investment,
then their remaining 1/6 share is worth
only $5, as discussed above. Since
the expected value of their equity was
$10 before the investment opportunity
appeared, the original equity holders
would lose $5 by pursuing this investment; from the final column of Table
1, we see that the original equity holders would give up at most a 4/6 share
of the firm in exchange for the $25.
Hence, the original equity holders
would choose not to raise capital to
invest in this project, even though it
would earn the firm $15 = $40 – $25.
Intuitively, the reason that debt
overhang makes it so expensive for
firms to raise money is that new investors know that their funds will be used
to repay debt holders if the firm’s MBS

pends on how large a share they would
have to give up.
Table 1 can help us determine
the share of the firm’s equity that new
investors would require in exchange
for $25. Suppose they received 1/6 of
the firm’s equity, which corresponds to
the first row of the table. If the MBS
yield $0, the extra $40 in revenue from
the new investment is still not enough
to prevent the firm from defaulting on
its $80 debt, and the equity holders
(old and new) receive nothing. But if
the MBS yield $100, then the equity
holders split the profit of $60 = $100
+ $40 – $80. Hence, the expected
value of a 1/6 share of the firm’s equity,
reported in the second column, is $5
= (1/6) × [(1/2) × $0 + (1/2) × $60].
The new equity holders would be providing $25 in exchange for an expected
return of just $5, resulting in an expected loss of $20. Clearly they would
never agree to such a deal. Instead,
scanning down the third column, one
can see that new equity holders would
demand at least a 5/6 share in ex-

TABLE 1
How Debt Overhang Can Impede
New Equity Issuance
Share
given to
new equity
holders

Expected
value of new
equity share

Expected
payoff from
investment

Remaining
share for
original
equity
holders

Change in
value of
original
equity share

1/6

$5

–$20

5/6

$15

2/6

$10

–$15

4/6

$10

3/6

$15

–$10

3/6

$5

4/6

$20

–$5

2/6

$0

5/6

$25

$0

1/6

–$5

1

$30

$5

0

–$10

Business Review Q4 2013 21

yield $0, and they need to be compensated for this risk. Notice that this
problem eases as the probability of default decreases: If the MBS yield $100
with greater probability, it becomes less
expensive for the firm to issue new equity, and the effects of debt overhang
diminish.
POLICY OPTION: DIRECT
ASSET PURCHASES
As we explained above, the presence of risky assets in the market
can cause market activity to seize up.
Moreover, the presence of risky assets
on banks’ balance sheets can make it
too costly for them to raise additional
capital by issuing new equity. One
potential policy response is for the government to simply buy assets directly
from these banks, thus removing them
from both banks’ balance sheets and
the market at large.8
Although it is possible that bank
regulators may have superior information about asset values through bank
examinations, the more conservative
assumption — and the one that most
economic analyses make — is that the
government has no better information
than other potential buyers. However, even without an informational
advantage, government purchases may
be beneficial in several ways. When
the government has no better information than other buyers in the market, the banks would likely sell their
low-quality or “toxic” assets to the
government. Once these assets have
been purchased, the average quality
of the assets remaining in the market

8
Indeed, the Troubled Asset Relief Program
(TARP) was initially intended to support this
type of policy. Signed into law on October 3,
2008, TARP authorized government purchases
of up to $700 billion of “troubled assets” such
as mortgage-backed securities. Days later, however, Treasury Secretary Henry Paulson revised
the TARP, opting instead to pursue some of the
interventions described herein, including equity
injections.

22 Q4 2013 Business Review

would increase. As a result, buyers
would be willing to pay a higher price
for a randomly selected asset, since the
probability of receiving a lemon has
declined. Therefore, if the government is able to remove a sufficiently
large quantity of toxic assets from the
market, it can alleviate the problem of
asymmetric information and potentially rejuvenate trading among private investors. This idea has been formalized
by Jean Tirole and by Thomas Philippon and Vasiliki Skreta.9 In addition to
rejuvenating trade in private markets,
direct asset purchases can also help
banks issue new equity. By removing the most toxic assets from banks’
balance sheets and replacing them
with cash, the program makes existing
debt less risky and hence reduces debt
overhang. As a result, issuing new equity would be less costly, which could
allow banks a better opportunity to
raise capital. Therefore, for both of the
reasons discussed above, banks could
potentially use private markets to
recapitalize after the initial purchases
by the government, thus limiting the
burden that would fall solely on the
government.
Unfortunately, this type of program also has several disadvantages.
For one, when the government is at an
informational disadvantage (just like
buyers in the private market), it will
likely overpay for the assets, which is
costly to taxpayers.10 Second, this type
of government intervention will interfere with the process of price discovery. Private investors, such as hedge

9
Note that the timing of such programs is
important. For example, if owners of lemons
anticipate that prices will rise in the future,
they may choose not to sell their assets to the
government, and instead wait for the market
to recover. But then, since lemons remain in
the market, it doesn’t recover! Braz Camargo
and I study the importance of both the timing
and duration of government interventions and
show how policies that would seemingly speed
up a market’s recovery can inadvertently slow
it down.

funds, spend valuable resources trying
to figure out what an asset is worth,
in the hopes of either buying an asset
that is undervalued or selling an asset
that is overvalued. As a result, the
price at which an asset is bought and
sold typically conveys information; at
the very least, it provides some insight
into what the buyer and seller believe
the asset to be worth. This information
can be valuable to other market participants who are trying to figure out
what similar or even identical assets
are worth. Government purchases may
undermine the incentives for private
investors to research an asset’s value,
making the ultimate price less informative. Finally, direct asset purchases
will most likely allocate funds to the
banks with the lowest-quality assets.
Not only may this allocation be seen as
unfair, but the funds may also be used
poorly if these banks have other assets of similarly low quality or if these
banks do not have strong investment
opportunities.
POLICY OPTION: REDUCE
THE RISKINESS OF ASSETS
As an alternative to buying assets directly, the government can help
banks reduce leverage by making the
assets they hold less risky and more
attractive to potential buyers. There
are a variety of ways to do this. For
example, a mortgage modification program that encourages lenders to reduce

The government, of course, would try to limit
the extent to which it overpays. In addition to
carefully examining the assets before purchasing
them, the government could try to determine a
fair price through certain market mechanisms
such as reverse auctions. Lawrence Ausubel and
Peter Cramton describe one such mechanism.
However, it is worth emphasizing that the
government’s ability to overpay is the fundamental reason it can play this role in thawing
the market. Not only can the government bear
losses that private investors are unwilling or
unable to take; it can also take into account the
benefits that are captured by other participants
in the economy that no private investor would
take into account.

10

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either the principal amount of the loan
or the interest payments may increase
the value of MBS by improving the
expected performance of the underlying loans — that is, by reducing
the probability that homeowners will
default. Alternatively, the government
can make assets less risky by guaranteeing a minimum return, eliminating
the possibility that the purchaser will
suffer a large loss. Finally, the government can partner with private investors by assisting in the financing of
asset purchases and assuming a portion
of the downside risk. Since this last
option is perhaps the least understood,
let’s explore it in greater depth.
Suppose the government offers a
program in which a private investor
who buys an asset is required to put up
his or her own equity to pay a fraction
of the purchase price and receives a
nonrecourse loan from the government for the remainder in exchange for
a share of the asset’s returns.11 When
a private investor purchases an asset
with a nonrecourse loan, the asset
itself serves as collateral. Should the
investor default, he can lose, at most,
his equity investment, but he is not
personally liable for any additional
losses suffered by the lender; those
are borne by the government. Therefore, this type of program essentially
provides partial insurance to investors
should they acquire a lemon, but the
government also shares in the upside
should the asset appreciate.
An advantage of this type of
program is that private investors have
an incentive to research and acquire
information about the assets for sale
because they have their own equity at
risk, or “skin in the game.” Although

11
This hypothetical program captures the
essential features of a program called the PublicPrivate Investment Program for Legacy Assets,
which was introduced in March 2009 as a joint
venture of the Treasury Department, the FDIC,
and the Federal Reserve.

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investors’ losses are limited, they still
lose money if they make poor, uninformed investment decisions. An immediate consequence is that prices are
more informative, in that they more
accurately reflect the true value of the
assets. This information is valuable to
other market participants. For example, once previously uninformed buyers
observe the price and thus learn about

An additional concern with this
type of program is that it still requires
private investors to raise some capital
on their own. Given the severity of the
information asymmetries during the
crisis, raising any money to purchase
MBS was challenging. As a result, the
scope of a program of this type could
be limited by the capital constraints being faced by private investors.

Given the severity of the information
asymmetries during the crisis, raising any
money to purchase MBS was challenging.
the market’s assessment of one pool of
MBS, they may be sufficiently informed to bid on similar pools of MBS,
helping to unfreeze the market. In addition, since the purchase price is more
likely to be closer to the true value of
the asset, and the taxpayer shares in
the gains should the asset appreciate in
value, the total potential losses to the
taxpayer are reduced.
However, it is important to note
that the taxpayer is still exposed to risk
under this type of program. Because
buyers are partially insured against
losses, they still have some incentive
to gamble by purchasing risky assets;
economists call this phenomenon
moral hazard. When investors gamble
and lose on a government-insured
investment, the taxpayer ultimately
covers some of the losses. Therefore,
when designing a policy like this, there
is a delicate balance between providing buyers with enough insurance to be
willing to purchase the assets but not
so much insurance that they bid recklessly. My coauthors, Braz Camargo
and Kyungmin Kim, and I construct
a theoretical model that captures this
type of policy intervention, along with
the inherent tradeoff that emerges,
and we use this model to identify the
optimal level of insurance.

POLICY OPTION:
EQUITY INJECTIONS
A different approach to recapitalizing highly leveraged financial institutions is for the government to simply
provide them with cash in exchange
for either shares of stock (often preferred shares) or warrants, which are
options to buy shares of stock at a predetermined price.12 This type of policy
has the advantage of being quick and
direct: Banks immediately receive capital, and their leverage ratios fall.13 In

A large portion of the TARP funds were
ultimately used for equity injections under
the Capital Purchase Program, in which the
government injected billions of dollars into the
largest U.S. banks (and some smaller ones) in
exchange for preferred shares and warrants.
Preferred shares are senior to common shares,
so that owners of preferred shares have priority
for the distribution of dividends or other assets
in the case of liquidation. However, preferred
shareholders are subordinate to debt holders,
who typically have the most senior claim when
a firm is liquidated. The Treasury Department regularly updates the status of the money
disbursed under TARP, including how much has
been repaid and the return on these investments, at http://www.treasury.gov/initiatives/
financial-stability/reports/.

12

In addition to helping banks reduce leverage,
this type of program also eases concerns about
the solvency of financial institutions, which
was an important rationale for government
intervention as well.

13

Business Review Q4 2013 23

addition, equity injections can provide
more protection to the taxpayer. Unlike asset purchases, equity injections
leave the government with a claim on
both the good and the bad assets that
a bank owns. If bank shares ultimately
appreciate after the crisis subsides, the
taxpayer shares in the gains.
However, this type of policy has
disadvantages, too. Since markets are
not purged of toxic assets, they may
remain frozen for quite some time.
For this reason, Christopher House
and Yusufcan Masatlioglu argue that
asset purchases are more effective
than equity injections. Under an asset
purchase program, banks are “rewarded” with new equity only when
they take an action that helps markets
recover, i.e., when they sell their assets
and allow the average quality of assets
in the market to increase. Similarly,
since toxic assets remain on banks’
balance sheets after equity injections,
debt overhang persists as well. In
fact, as Linus Wilson points out, the
seniority of the government’s preferred
shares could even magnify the problems associated with debt overhang,
since preferred shares are ultimately
very similar to debt.14 Therefore, with
preferred equity injections alone,
banks would still find it costly to sell

14
See Thomas Phillipon and Philipp Schnabl
for a study of the most efficient way to recapitalize banks through equity injections.

24 Q4 2013 Business Review

their assets or to issue new equity.
Finally, even if it is desperate to
deleverage, a bank may hesitate to accept equity injections from the government for fear it could be viewed by the
market as a signal that the financial
institution is in trouble. Such a perception could trigger withdrawals or raise
its cost of funds even further. To avoid
this outcome, the government may encourage all large financial institutions
to accept equity injections by offering
very attractive terms, although doing
so could make it less likely that the
taxpayer will ultimately be compensated for the investment.15
CONCLUSION
The financial crisis began when
banks needed to deleverage and were
unable to do so. Banks could not sell
many of their assets at an acceptable
price, and issuing new equity was not
profitable. A prominent explanation
for the former type of market failure is
asymmetric information, and a prominent explanation for the latter is debt
overhang.

As Philip Swagel puts it, the terms have “to be
the opposite of the ‘Sopranos’ or the ‘Godfather’—not an attempt to intimidate banks, but
instead a deal so attractive that banks would be
unwise to refuse it.” Note that the stigma associated with accepting equity injections could
also be a relevant concern for the other types of
interventions discussed here. In general, accepting any form of government assistance could be
interpreted by the market as a signal that the
bank is in trouble.

15

There are many potential ways
for the government to intervene in an
attempt to restore liquidity in crucial
markets and allow banks to reduce
their leverage. We have outlined several leading candidates and discussed
their advantages and disadvantages.
Ultimately, the government used a
combination of them, making a variety
of alterations and special provisions in
an attempt to ameliorate the potential risks associated with each type of
intervention.
However, it is important to remember that all interventions carry
some risk. Each program we have
discussed can be costly to taxpayers,
ultimately transferring resources from
the broader economy to the financial
sector. An inevitable consequence is
that some of the institutions responsible for creating this crisis will not bear
the full costs of their actions, which
may encourage risk-taking if financial
institutions expect a similar government response in the future.
In addition, interventions typically
need to be recalibrated as market conditions unfold. These adjustments impose an additional layer of uncertainty
because market participants need to
anticipate not only what other participants will do but what the government
will do as well! Uncertainty can actually increase incentives for buyers and
sellers to stop trading and simply wait
for it to be resolved, causing markets to
freeze even more.

www.philadelphiafed.org

REFERENCES
Adrian, Tobias, and Hyun Shin. “Liquidity and Financial Contagion,” Banque de
France Financial Stability Review: Special
Issue on Liquidity, 11 (2008), pp. 1-7.
Akerlof, George. “The Market for ‘Lemons’: Quality Uncertainty and the Market
Mechanism,” Quarterly Journal of Economics, 84:3 (1970), pp. 488-500.
Ausubel, Lawrence, and Peter Cramton. “A
Troubled Asset Reverse Auction,” University of Maryland Working Paper (2008).
Brunnermeier, Markus. “Deciphering the
Liquidity and Credit Crunch 2007-2008,”
Journal of Economic Perspectives, 23:1
(2009), pp. 77-100.
Camargo, Braz, Kyungmin Kim, and Ben
Lester. “Subsidizing Price Discovery,” Federal Reserve Bank of Philadelphia Working
Paper 13-20 (2013).
Camargo, Braz, and Ben Lester. “Trading Dynamics in Decentralized Markets
with Adverse Selection,” Federal Reserve
Bank of Philadelphia Working Paper 11-36
(2011).

www.philadelphiafed.org

Chatterjee, Satyajit. “Debt Overhang:
Why Recovery from a Financial Crisis Can
Be Slow,” Federal Reserve Bank of Philadelphia Business Review, (Second Quarter
2013).
Eyigungor, Burcu. “Debt Dilution: When It
Is a Major Problem and How to Deal with
It,” Federal Reserve Bank of Philadelphia
Business Review (Fourth Quarter 2013).
Gorton, Gary. “The Panic of 2007,” Proceedings of the Federal Reserve Bank of
Kansas City’s Economic Policy Symposium,
“Maintaining Stability in a Changing Financial System,” Jackson Hole, WY, 2008.

Myers, Stewart. “Determinants of Corporate Borrowing,” Journal of Financial
Economics, 5 (1977), pp. 147-175.
Philippon, Thomas, and Philipp Schnabl.
“Efficient Recapitalization,” Journal of Finance, 6 (2013), pp. 1-42.
Philippon, Thomas, and Vasiliki Skreta.
“Optimal Interventions in Markets with
Adverse Selection,” American Economic
Review, 102:1 (2012), pp. 1-28.
Swagel, Philip. “The Financial Crisis: An
Inside View,” Brookings Papers on Economic
Activity, (2009), pp. 1-63.

House, Christopher, and Yusufcan
Masatlioglu. “Managing Markets for Toxic
Assets,” NBER Working Paper W16145
(2012).

Tirole, Jean. “Overcoming Adverse Selection: How Public Intervention Can Restore
Market Functioning,” American Economic
Review, 102:1 (2012), pp. 29-59.

Leitner, Yaron. “Why Do Markets Freeze?”
Federal Reserve Bank of Philadelphia Business Review (Second Quarter 2011).

Wilson, Linus. “Debt Overhang and Bank
Bailouts,” International Journal of Monetary
Economics and Finance (forthcoming).

Business Review Q4 2013 25

Research Rap

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

Economists and visiting scholars at the Philadelphia Fed produce papers of interest to the professional researcher on banking, financial markets, economic forecasting, the housing market, consumer
finance, the regional economy, and more. More abstracts may be found at www.philadelphiafed.org/
research-and-data/publications/research-rap/. You can find their full working papers at
http://www.philadelphiafed.org/research-and-data/publications/working-papers/.

Debt Dilution and Seniority in a Model of
Defaultable Sovereign Debt
An important inefficiency in sovereign debt
markets is debt dilution, wherein sovereigns
ignore the adverse impact of new debt on the
value of existing debt and, consequently, borrow
too much and default too frequently. A widely
proposed remedy is the inclusion of seniority
clauses in sovereign debt contracts: Creditors
who lent first have priority in any restructuring
proceedings. The authors incorporate seniority
in a quantitatively realistic model of sovereign
debt and find that seniority is quite effective in
mitigating the dilution problem. The authors
also show theoretically that seniority cannot be
fully effective unless the costs of debt restructuring are zero.
Working Paper 13-30. Satyajit Chatterjee,
Federal Reserve Bank of Philadelphia; Burcu Eyigungor, Federal Reserve Bank of Philadelphia.
Measuring the Performance of Banks:
Theory, Practice, Evidence, and Some Policy
Implications
The unique capital structure of commercial
banking — funding production with demandable
debt that participates in the economy’s payments
system — affects various aspects of banking. It
shapes banks’ comparative advantage in providing financial products and services to informationally opaque customers, their ability to diversify credit and liquidity risk, and how they are
regulated, including the need to obtain a charter
to operate and explicit and implicit federal guarantees of bank liabilities to reduce the probability
26 Q4 2013 Business Review

of bank runs. These aspects of banking affect a
bank’s choice of risk versus expected return, which,
in turn, affects bank performance. Banks have an
incentive to reduce risk to protect the valuable
charter from episodes of financial distress, and they
also have an incentive to increase risk to exploit
the cost-of-funds subsidy of mispriced deposit insurance. These are contrasting incentives tied to bank
size. Measuring the performance of banks and its
relationship to size requires untangling cost and
profit from decisions about risk versus expectedreturn because both cost and profit are functions
of endogenous risk-taking. This chapter gives an
overview of two general empirical approaches to
measuring bank performance and discusses some
of the applications of these approaches found in
the literature. One application explains how better
diversification available at a larger scale of operations generates scale economies that are obscured
by higher levels of risk-taking. Studies of banking
cost that ignore endogenous risk-taking find little
evidence of scale economies at the largest banks,
while those that control for this risk-taking find
large scale economies at the largest banks — evidence with important implications for regulation.
Working Paper 13-31. Joseph P. Hughes, Rutgers
University; Loretta J. Mester, Federal Reserve Bank
of Philadelphia; The Wharton School, University of
Pennsylvania.
On the Welfare Properties of Fractional
Reserve Banking
Monetary economists have long recognized a
tension between the benefits of fractional reserve
banking, such as the ability to undertake more
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profitable (long-term) investment opportunities, and the difficulties associated with fractional reserve banking, such as
the risk of insolvency for each bank. The goal of this paper
is to show that a specific form of private bank coalition (a
joint-liability arrangement) allows the members of the banking system to engage in fractional reserve banking in such
a way that the solvency of each member bank is completely
guaranteed. Under this arrangement, the paper shows that a
lower reserve ratio usually translates into a higher exchange
value of bank liabilities, benefitting the consumers who use
them as a means of payment.
Working Paper 13-32. Daniel Sanches, Federal Reserve
Bank of Philadelphia.
Export Dynamics in Large Devaluations
The authors study the source and consequences of sluggish export dynamics in emerging markets following large
devaluations. They document two main features of exports
that are puzzling for standard trade models. First, given the
change in relative prices, exports tend to grow gradually following a devaluation. Second, high interest rates tend to suppress exports. To address these features of export dynamics,
the authors embed a model of endogenous export participation due to sunk and per period export costs into an otherwise standard small open economy. In response to shocks to
productivity, the interest rate, and the discount factor, the
authors find the model can capture the salient features of
export dynamics documented. At the aggregate level, the
features giving rise to sluggish exports lead to more gradual
net export reversals, sharper contractions and recoveries in
output, and endogenous stagnation in labor productivity.
Working Paper 13-33. George Alessandria, Federal Reserve
Bank of Philadelphia; Sangeeta Pratap, Hunter College and
Graduate Center, City University of New York; Vivian Yue,
Board of Governors, Federal Reserve System.
Reverse Kalman Filtering U.S. Inflation with Sticky
Professional Forecasts
The authors provide a new way to filter U.S. inflation
into trend and cycle components, based on extracting longrun forecasts from the Survey of Professional Forecasters,
by operating the Kalman filter in reverse, beginning with
observed forecasts, then estimating parameters, and then
extracting the stochastic trend in inflation. The trend-cycle
model with unobserved components is consistent with
numerous studies of U.S. inflation history and is of interest
partly because the trend may be viewed as the Fed’s evolving inflation target or long-horizon expected inflation. The
sluggish reporting attributed to forecasters is consistent with
evidence on mean forecast errors. There is considerable
evidence of inflation-gap persistence and some evidence of
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implicit sticky information. But statistical tests show these
two widely used perspectives on U.S. inflation forecasts, the
unobserved-components model and the sticky-information
model, cannot be reconciled.
Working Paper 13-34. James M. Nason, Federal Reserve
Bank of Philadelphia; Gregor W. Smith, Queen’s University.
Inflation and Real Activity with Firm-Level Productivity
Shocks
In the last ten years, there has been an explosion of
empirical work examining price setting behavior at the micro
level. The work has in turn challenged existing macro models that attempt to explain monetary nonneutrality, because
these models are generally at odds with much of the micro
price data. In response, economists have developed a second
generation of sticky-price models that are state dependent
and that include both fixed costs of price adjustment and
idiosyncratic shocks. Nonetheless, some ambiguity remains
about the extent of monetary nonneutrality that can be attributed to costly price adjustment. The authors’ paper takes
a step toward eliminating that ambiguity.
Working Paper 13-35. Michael Dotsey, Federal Reserve
Bank of Philadelphia; Robert G. King, Boston University, Federal Reserve Bank of Richmond, National Bureau of Economic
Research; Alexander L. Wolman, Federal Reserve Bank of
Richmond.
House-Price Expectations, Alternative Mortgage
Products, and Default
Rapid house-price depreciation and rising unemployment were the main drivers of the huge increase in mortgage
default during the downturn years of 2007 to 2010. However,
mortgage default was also partly driven by an increased reliance on alternative mortgage products such as pay-option
ARMs and interest-only mortgages, which allow the borrower to defer principal amortization. The goal of this paper is to
better understand the forces that spurred use of alternative
mortgages during the housing boom and the resulting impact
on default patterns, relying on a unifying conceptual framework to guide the empirical work. The conceptual framework allows borrowers to choose the extent of mortgage
“backloading,” the postponement of loan repayment through
various mechanisms that constitutes a main feature of alternative mortgages. The model shows that, when future houseprice expectations become more favorable, reducing default
concerns, mortgage choices shift toward alternative contracts. This prediction is confirmed by empirical evidence
showing that an increase in past house-price appreciation,
which captures more favorable expectations for the future,
raises the market share of alternative mortgages. In addition,
using a proportional-hazard default model, the paper tests
Business Review Q4 2013 27

the fundamental presumption that backloaded mortgages are
more likely to default, finding support for this view.
Working Paper 13-36. Jan K. Brueckner, University of
California, Irvine; Paul S. Calem, Federal Reserve Bank of
Philadelphia; Leonard I. Nakamura, Federal Reserve Bank of
Philadelphia.
Do Supply Restrictions Raise the Value of Urban Land?
The (Neglected) Role of Production Externalities
Restriction on the supply of new urban land is commonly thought to raise the value of existing urban land. This
paper questions this view. The authors develop a tractable
production-externality-based circular city model in which
firms and workers choose locations and intensity of land use.
Consistent with evidence, the model implies exponentially
decaying density and price gradients. For plausible parameter
values, an increase in the demand for urban land can lead to
a smaller increase in urban rents in cities that cannot expand
physically because they are less able to exploit the positive
external effect of greater employment density.
Working Paper 13-37. Supersedes Working Paper 12-25.
Satyajit Chatterjee, Federal Reserve Bank of Philadelphia; Burcu
Eyigungor, Federal Reserve Bank of Philadelphia.
Debt Collection Agencies and the Supply of Consumer
Credit
The author examines contract enforcement in consumer
credit markets by studying the role of third-party debt collectors. In order to identify the effect of debt collectors on
credit supply, he constructs a state-level index of the tightness of debt collection laws. The author finds that stricter
regulations of third-party debt collectors are associated with
a lower number of third-party debt collectors per capita
and with fewer openings of revolving lines of credit. One
additional restriction on debt collection activity reduces the
number of debt collectors per capita by 15.9% of the sample
mean and lowers the number of new revolving lines of credit
by 2.2% of the sample mean. At the same time, regulations
of third-party debt collectors do not affect secured consumer
credit, which is consistent with the fact that debt collectors
are used to enforce unsecured debt contracts. Stricter regulations of debt collectors decrease credit card recovery rates
(by 9% of the sample mean for each additional restriction
on debt collection activity), which appears to be the transmission mechanism by which debt collectors affect credit
supply. The effect of debt collection laws is significant even
when average credit scores are controlled for, meaning that
consumer credit risk is not the only driver of credit access.
The author’s results can help explain the existence of a large
market for unsecured consumer credit and shed light on
contract enforcement in this market.
28 Q4 2013 Business Review

Working Paper 13-38. Viktar Fedaseyeu, Bocconi University, Federal Reserve Bank of Philadelphia Visiting Scholar.
Identifying Long-Run Risks:
A Bayesian Mixed-Frequency Approach
The authors develop a nonlinear state-space model
that captures the joint dynamics of consumption, dividend
growth, and asset returns. Building on Bansal and Yaron
(2004), their model consists of an economy containing a
common predictable component for consumption and dividend growth and multiple stochastic volatility processes. The
estimation is based on annual consumption data from 1929
to 1959, monthly consumption data after 1959, and monthly
asset return data throughout. The authors maximize the
span of the sample to recover the predictable component and
use high-frequency data, whenever available, to efficiently
identify the volatility processes. Their Bayesian estimation
provides strong evidence for a small predictable component
in consumption growth (even if asset return data are omitted
from the estimation). Three independent volatility processes
capture different frequency dynamics; their measurement error specification implies that consumption is measured much
more precisely at an annual than monthly frequency; and the
estimated model is able to capture key asset-pricing facts of
the data.
Working Paper 13-39. Frank Schorfheide, University of
Pennsylvania, National Bureau of Economic Research, Federal
Reserve Bank of Philadelphia Visiting Scholar; Dongho Song,
University of Pennsylvania; Amir Yaron, University of Pennsylvania, National Bureau of Economic Research.
Macro Fiscal Policy in Economic Unions:
States as Agents
The American Recovery and Reinvestment Act
(ARRA) was the U.S. government’s fiscal response to the
Great Recession. An important component of ARRA’s $796
billion proposed budget was $318 billion in fiscal assistance
to state and local governments. The authors examine the
historical experience of federal government transfers to state
and local governments and their impact on aggregate GDP
growth, recognizing that lower-tier governments are their
own fiscal agents. The SVAR analysis explicitly incorporates federal intergovernmental transfers, disaggregated into
project (e.g., infrastructure) aid and welfare aid, as separate
fiscal policies in addition to federal government purchases
and federal net taxes on households and firms. A narrative
analysis provides an alternative identification strategy. To
better understand the estimated aggregate effects of aid on
the economy, the authors also estimate a behavioral model
of state responses to such assistance. The analysis reaches
three conclusions. First, aggregate federal transfers to state
www.philadelphiafed.org

and local governments are less stimulative than are transfers to households and firms. It is important to evaluate the
two policies separately. Second, within intergovernmental
transfers, matching (price) transfers for welfare spending are
more effective for stimulating GDP growth than are unconstrained (income) transfers for project spending. Matching
aid is fully spent on welfare services or middle-class tax relief;
half of project aid is saved and only slowly spent in future
years. Third, simulations using the SVAR specification
suggest ARRA assistance would have been 30 percent more
effective in stimulating GDP growth had the share spent on
government purchases and project aid been fully allocated
to private sector tax relief and to matching aid to states for
lower-income support.
Working Paper 13-40. Gerald Carlino, Federal Reserve
Bank of Philadelphia; Robert P. Inman, The Wharton School,
University of Pennsylvania.
The Political Polarization Index
American politics have become increasingly polarized
in recent decades. To the extent that political polarization
introduces uncertainty about economic policy, this pattern
may have adversely affected the economy. According to
existing theories, a rise in the volatility of fiscal shocks faced
by individuals should result in a decline in economic activity. Moreover, if polarization is high around election dates,
businesses and households may be induced to delay decisions
that involve high reversibility costs (such as investment or
hiring under search costs). Testing these theories has been
challenging given the low frequency at which existing polarization measures have been computed (in most studies, the
series is available only biannually). In this paper, the author
provides a novel high-frequency measure of polarization,
the political polarization index. The measure is constructed
monthly for the period 1981–2013 using a search-based approach. The author documents that while the index fluctuates around a constant mean for most of the sample period
prior to 2007, it has exhibited a steep increasing trend since
the Great Recession. Evaluating the effects of this increase
using a simple VAR, the author finds that an innovation to
polarization significantly discourages investment, output,
and employment. Moreover, these declines are persistent,
which may help explain the slow recovery observed since the
2007 recession ended.
Working Paper 13-41. Marina Azzimonti, Federal Reserve
Bank of Philadelphia.
Dynamic Market Participation and Endogenous
Information Aggregation
This paper studies information aggregation in financial
markets with recurrent investor exit and entry. A dynamic
www.philadelphiafed.org

general equilibrium model of asset trading with private
information and collateral constraints is considered. Investors differ in their aversion to Knightian uncertainty: When
uncertainty is high, some investors exit the market. Since
exiting investors’ information is not fully revealed by prices,
conditional return volatility and risk premia both increase.
Data on institutional investors’ holdings of individual stocks
show that investor exits indeed move negatively with price
informativeness. The model also implies that exit is more
likely when wealth is more concentrated in the hands of
less uncertainty-averse investors. The model thus predicts
less informative prices toward the end of a long boom, as
seen in the data. Moreover, economies with looser collateral
constraints should see more volatility due to exit and partial
revelation. Higher capital requirements can improve welfare
by inducing more information revelation by prices.
Working Paper 13-42. Edison G. Yu, Federal Reserve Bank
of Philadelphia.
The Dynamics of Public Investment Under Persistent
Electoral Advantage
This paper studies the effects of asymmetries in reelection probabilities across parties on public policy and
their subsequent propagation to the economy. The struggle
between groups that disagree on targeted public spending (e.g., pork) results in governments being endogenously
short-sighted: Systematic underinvestment in infrastructure
and overspending on targeted goods arise, above and beyond
what is observed in symmetric environments. Because the
party enjoying an electoral advantage is less short-sighted, it
devotes a larger proportion of revenues to productive investment. Hence, political turnover induces economic fluctuations in an otherwise deterministic environment. The author
characterizes analytically the long-run distribution of allocations and shows that output increases with electoral advantage, despite the fact that governments expand. Volatility is
non-monotonic in electoral advantage and is an additional
source of inefficiency. Using panel data from U.S. states, the
author confirms these findings.
Working Paper 13-43. Marina Azzimonti, Federal Reserve
Bank of Philadelphia.
Polarized Business Cycles
The authors are motivated by four stylized facts computed for emerging and developed economies: (i) business cycle
movements are wider in emerging countries; (ii) economies
in emerging countries experience greater economic policy
uncertainty; (iii) emerging economies are more polarized and
less politically stable; and (iv) economic policy uncertainty is
positively related to political polarization. The authors show
that a standard real business cycle (RBC) model augmented
Business Review Q4 2013 29

to incorporate political polarization, a “polarized business cycle” (PBC) model, is consistent with these facts. The authors’
main hypothesis is that fluctuations in economic variables are
not only caused by innovations to productivity, as traditionally assumed in macroeconomic models, but also by shifts
in political ideology. Switches between left-wing and rightwing governments generate uncertainty about the returns to
private investment, and this affects real economic outcomes.
Since emerging economies are more polarized than developed
ones, the effects of political turnover are more pronounced.
This translates into higher economic policy uncertainty and
amplifies business cycles. The authors derive their results
analytically by fully characterizing the long-run distribution
of economic and fiscal variables. They then analyze the effect
of a permanent increase in polarization on PBCs.
Working Paper 13-44. by Marina Azzimonti, Federal
Reserve Bank of Philadelphia; Matthew Talbert, University of
Texas, Austin.
Entrepreneurial Tail Risk: Implications for Employment
Dynamics
New businesses are important for job creation and have
contributed more than proportionally to the expansion in
the 1990s and the decline of employment after the 2007
recession. This paper provides a framework for analyzing
determinants of business creation in a world where new business owners are exposed to idiosyncratic risk due to initial
imperfect diversification. This paper uses this framework to
analyze how entrepreneurial risk has changed over time and
how this has affected employment in the U.S. Conditions are

30 Q4 2013 Business Review

provided under which entrepreneurial risk can be identified
using micro data on the size distribution of new businesses
and their exit rates. The baseline model considers both upside
and downside risk. Applied to U.S. time series data, structural estimates suggest that higher upside risk explains much of
the high job creation in the late 1990s. Time variation in risk
explains around 40% of the variation in employment of new
businesses. Reduced form results show that this relationship is
strongest in IT-related industries. When restricting the model
to a single risk factor, the explanatory power for employment
drops by 25% to 50% compared to the baseline estimates.
Working Paper 13-45. Thorsten Drautzburg, Federal Reserve
Bank of Philadelphia.
Fiscal Stimulus and Distortionary Taxation
The authors quantify the fiscal multipliers in response
to the American Recovery and Reinvestment Act (ARRA)
of 2009. They extend the benchmark Smets-Wouters (2007)
New Keynesian model, allowing for credit-constrained
households, the zero lower bound, government capital, and
distortionary taxation. The posterior yields modestly positive short-run multipliers around 0.53 and modestly negative
long-run multipliers around -0.36. The authors explain the
central empirical findings with the help of a simple three
equation New Keynesian model with sticky wages and creditconstrained households.
Working Paper 13-46. Thorsten Drautzburg, Federal Reserve
Bank of Philadelphia; Harald Uhlig, University of Chicago.

www.philadelphiafed.org

Index of 2013 Business Review Articles
First Quarter
The Great Trade Collapse (and Recovery)
The Political Economy of Balanced Budget Amendments
What You Don’t Know Can Hurt You: Keeping Track of Risks in the Financial System

George Alessandria
Marina Azzimonti
Leonard Nakamura

Second Quarter
Debt Overhang: Why Recovery from a Financial Crisis Can Be Slow
DSGE Models and Their Use in Monetary Policy
The Diverse Impacts of the Great Recession

Satyajit Chatterjee
Michael Dotsey
Makoto Nakajima

Third Quarter
The Economics of Student Loan Borrowing and Default
Clusters of Knowledge: R&D Proximity and the Spillover Effect

Wenli Li
Gerald A. Carlino and		
Jake K. Carr
The Promise and Challenges of Bank Capital Reform	Ronel Elul

Fourth Quarter
Debt Dilution: When It Is a Major Problem and How to Deal with It
The Economics of Small Open Economies
Breaking the Ice: Government Interventions in Frozen Markets

www.philadelphiafed.org

Burcu Eyigungor
Pablo Guerron-Quintana
Benjamin Lester

Business Review Q4 2013 31