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April 2012 (March 8, 2012-April 10, 2012)

In This Issue:
Banking and Financial Markets
 New York Fed Breaks Up with Maiden II
Growth and Production
 The Shrinking Government Sector
Households and Consumers
 The Availability and Profitability of Credit Cards
Inflation and Prices
 Market-based Inflation Expectations

Labor Markets, Unemployment, and Wages
 An Elusive Relation between Unemployment
and GDP Growth: Okun’s Law
Monetary Policy
 European Liquidity Strains
 Yield Curve and Predicted GDP Growth,
March 2012
Regional Economics
 Income Growth in the Fourth District since 1970

Banking and Financial Markets

New York Fed Breaks Up with Maiden II
04.03.2012
by Mahmoud Elamin and William Bednar
Back when the financial crisis was in full swing,
a number of simultaneously exploding problems
struck at AIG (American International Group). The
Fed’s response was swift and varied. One particular
response was Maiden Lane II, created to deal with
problems in AIG’s securities-lending program.
AIG is a big conglomerate comprised mainly of
insurance companies. The trouble started in some
of these insurance subsidiaries. Insurers collect premiums from customers to insure them against some
adverse event. The premiums are generally invested
in securities that the insurer buys and holds in its
portfolio. Instead of holding the securities, AIG’s
insurance subsidiaries had lent some of them out
using repurchase agreements (repos). Under the
repos, the securities were lent out for cash, and AIG
was obligated to repurchase them at some specified
point in the future. The cash collected from repos
was then invested in “safe” AAA residential subprime mortgage-backed securities (RMBS). Effectively, investors lent cash to AIG with the securities
acting as collateral.
After market participants started to suspect that
AAA was not AAA after all, and after AIG’s own
rating was downgraded, lenders demanded more
collateral to cover their cash lending. AIG had two
choices: come up with more collateral or sell the
RMBS and return the cash to the lenders. Neither
choice turned out to be possible. The AAA RMBS
were losing value and proved illiquid, and AIG had
problems trying to borrow money in the capital
markets. At this stage a severe liquidity crunch
ensued.
The New York Fed’s first action was to lend AIG
subsidiaries $20 billion in cash, with RMBS serving as collateral. Under this arrangement, AIG still
owned the securities and was subject to the effects
of their possible losses on its balance sheet. The
New York Fed was merely an AIG creditor. This arrangement did not prove potent enough to contain
the problems.
Federal Reserve Bank of Cleveland, Economic Trends | April 2012

2

In November 2008, two new special purpose
vehicles (SPVs), Maiden Lane II LLC and Maiden
Lane III LLC, were created to address the capital
and liquidity pressures on AIG. The SPVs gave
AIG more time and greater flexibility to sell assets
and repay the government loans. Maiden Lane II
was designed to deal with the securities-lending
portfolio of AIG’s insurance subsidiaries. Instead of
loaning AIG money with the RMBS acting as collateral, the New York Fed now bought the RMBS
outright. It purchased approximately $39.3 billion
in face value of RMBS with a $19.5 billion loan
to the SPV. AIG deferred the receipt of $1 billion
of the sale price till after the Fed was paid back in
full. The American public was on the hook if losses
surmounted the $1 billion mark.
As it happened, the last securities in Maiden Lane
II were sold off at the end of February 2012, and
the American public ended up benefiting to the
tune of $2.8 billion. The fact that the American
public did not end up with a loss does not address
the question of whether the return was a good riskadjusted return on the New York Fed’s investment.

Maiden Lane II Holdings by Type (Fair Value)
Millions of dollars
25000
20000

Alt-A ARM
Subprime

Other (includes Option ARM)
Cash and cash equivalents

15000
10000
5000
0
2008:Q4 2009:Q2 2009:Q4 2010:Q2 2010:Q4 2011:Q2
2009:Q1 2009:Q3 2010:Q1 2010:Q3 2011:Q1

2011:Q4

2011:Q3

Source: Federal Reserve Bank of New York.

Maiden Lane II’s portfolio consisted mainly of
high-risk RMBS. Initially, 57 percent of the total
asset value was collateralized by subprime mortgages, 28 percent of the portfolio by Alt-A ARMs,
and 15 percent by other types of loans, including
option ARMs. Without going into many details,
we just mention here that “toxic” is the prevalent
adjective for these kinds of loans. The composition
of the portfolio stayed relatively stable up to the
time that Maiden Lane II was unwound.
California and Florida mortgages initially made
up more than 45 percent of the loan balances
underlying the RMBS in the portfolio. California
mortgages made up the largest fraction at over 30
percent. Over the time that the assets were held, the
geographic distribution of the loans remained relatively stable. Roughly, loans from California made
up around 30 percent, Florida around 13 percent,
and New York about 6 percent.
The ratings of the securities held in Maiden Lane II
experienced fast and deep deterioration. At the time
they were purchased from AIG in the last quarter of
2008, 40 percent of the securities (based on market

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

3

Percentage of Remaining Loan Balances by
Geographic Location
As of 12/31/2008

As of 12/31/2009 As of 12/31/2010 As of 12/31/2011

California

32.5

30.7

30.0

28.6

Florida

12.6

13.0

12.8

13.1

New York

N/A

5.9

5.5

6.3

Other

54.9

50.8

51.3

50.2

Note: New York was included in the “Other” category in 2008 because it made up less than 5
percent of the total.

Source: Federal Reserve Bank of New York.

value) were still rated AAA, 15 percent were rated
between AA+ and AA-, and only about 19 percent
were rated BB+ or lower. After only three months,
just 13 percent were rated AAA. The percentage
rated BB+ or lower jumped to 64 percent. By the
end of 2010, prior to any sales being made from
the portfolio, 86 percent of the portfolio was rated
BB+ or lower, and only about 5 percent was still
rated AAA.
Maiden Lane II’s securities were typically bought
and sold at only a fraction of their face value. The
face value is the principal balance remaining on the
underlying loan pools. Originally, the portfolio’s
face value was about $39.3 billion. The face value
decreased over time for three reasons: monthly
mortgage payments (only the principal part of the
payment affects face value, not the interest part),
mortgage defaults, and security sales by the Fed.
The face value declined steadily from the time of
purchase up to the first round of sales in 2011. The
first large drop-off was in April 2011 and reflected
both mortgage payments and security sales. The
second large drop-off was at the start of 2012 and
reflected the second round of sales

Maiden Lane II Holdings by Rating
(Fair Value)
Millions of dollars
25000
20000

AAA
AA+ to AA−
BBB+ to BBB−

A+ to A−
BB+ and lower

-

15000
10000
5000
0
2008:Q4 2009:Q2 2009:Q4 2010:Q2 2010:Q4 2011:Q2
2009:Q1 2009:Q3 2010:Q1 2010:Q3 2011:Q1

2011:Q4

The fair value of Maiden Lane II’s assets is tricky
to calculate. Its RMBS were not traded liquidly,
so there are no ready market prices for them. Fair
value calculations would definitely include subjective assumptions about market participants’ behavior were they to actually buy them. Nonetheless,
Maiden Lane II periodically reported its estimated
fair value. The fair value appeared to drop initially
but remained relatively steady, increasing slightly
up to the first security sale in April 2011. The face
value was decreasing during that time period, implying an increasing fair value estimate.

2011:Q3

Source: Federal Reserve Bank of New York.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

We next plot the ratio of fair value to face value.
The ratio gives us the fair value of $1 of assets of
Maiden Lane II. An increase in this ratio means the
securities become more valuable and the New York
Fed’s loan to Maiden Lane II becomes safer. The ratio initially dropped off just after the purchase until
about the end of 2009. This drop shows that the
drop in fair value exceeded the drop in face value
over that time period. Then, the ratio increased
steadily from about October 2009 until about June
4

2011, around when the first period of sales was
ending. The increase was caused by a steady fair
value, coupled with a decreasing face value. The
first sale period started with a spike in the ratio. The
sale seems to have caused downward pressure on
the ratio by negatively impacting “market prices.”
Face and Fair Value of Maiden Lane II's Assets The second sale occurred after another spike in this
ratio, but this time the New York Fed was able to
Millions of dollars
dispose of these securities without significant mar40000
Face value of assets
ket disruption.
35000
30000
25000
20000

Fair value of assets

15000
10000
5000
0
12/2008

6/2009

12/2009

6/2010

12/2010

6/2011

12/2011

Note: Shaded bars represent periods during which securities were being sold.
Sources: Federal Reserve Board, Federal Reserve Bank of New York.

We used the ABX.HE indexes published by Markit.
These indexes measure the prices of credit default
swaps (CDS) on subprime mortgage-backed securities. Although the indexes do not directly measure
the prices of the securities, they are still commonly
used to evaluate the value of RBMS. A CDS is basically “insurance” against the default of a security.
So an issuer of a CDS is practically betting that the
security will not default, similar to actually buying the security itself. The buyer of a CDS, on the
other hand, is protected by the seller against the
security’s default. A rise in the index is a drop in
the cost of this “insurance,” and it implies a market
perception of less risky securities. Therefore, a rise
in the index is correlated with a rise in the price of
the security.

Ratio of Fair Value to Face Value
0.8
0.7
0.6
0.5
0.4
0.3
0.2
12/2008 6/2009

12/2009

6/2010

12/2010

6/2011

Since the fair value computation is fairly idiosyncratic and depends on assumptions not fully
observable in the market, we constructed a marketbased measure that tracks the value of Maiden Lane
II’s portfolio. This construction serves two purposes. First, it allows us to check if the assumptions
used to calculate the fair value are truly reflected in
actual market transactions. Second, it allows us to
see if there were any market disruptions around the
time the securities were sold by the New York Fed.

12/2011

Note: Shaded bars represent periods during which securities were being sold.
Sources: Federal Reserve Board, Federal Reserve Bank of New York.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

Each of these indexes tracks the CDS prices for a
bunch of similarly rated RMBS issued in a specific six-month period. For example, the ABX.HE
AAA-07-02 index tracks CDS prices for RMBS
issued in the first six months of 2007 that had a
rating of AAA at issuance. Since the Maiden Lane
II securities were issued in several different sixmonth periods, not one of these indexes is a good
representation of the whole portfolio. Based on
the face value of the portfolio as of 10/31/2010,
5

approximately 30 percent of the portfolio’s assets
were issued during the first half of 2007, 28 percent
in the second half of 2006, 21 percent in the first
half of 2006, and the remaining fraction from other
six-month intervals. The chart below is an index of
the weighted average price from the various ABX
indexes based on those calculated percentages.
This index followed a similar pattern to the ratio
of the fair value to face value, confirming that
the fair value assumptions appear to be shared by
market participants. There was an initial drop in
the value of these securities in the months immediately following the purchase. Then the value
steadily increased until the first round of sales,
then it dropped off immediately after, and finally it
increased again during the last round of sales. This
shows that the fair value of Maiden Lane II securities appreciated above the initial purchase value.
It also shows that there was a drop in the value of
the securities around the first round of sales and no
significant downward disruption during the second
round of sales this year.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

6

Growth and Production

The Shrinking Government Sector
03.20.2012
by Daniel Carroll

Government Expenditures
as a Fraction of GDP

The run-up in government expenditures during the
recent financial crisis has led some to believe that
growth in the government sector is far outpacing
the economy. Over the past five years, the government-to-GDP ratio has averaged 20.2 percent, just
a bit above its average of 19.9 percent since 1970.
While it is true that the ratio of government expenditures—including federal, state, and local government—to GDP increased precipitously during the
crisis (reaching 21.1 percent in 2009), it has been
trending down sharply since. At 19.7 percent as
of the fourth quarter of 2011, it has given back 70
percent of its post-crisis increase.

Percent
26
24
22
20
18
16
14
12
1970

1975

1980

1985

1990

1995

2000

2005

2010

Sources: Bureau of Economic Analysis; Haver Analytics.

Change in Government Expenditures
as a Fraction of GDP since 2007
Cumulative percent change
25
Federal government
20

15
Total
10

5
State and local
0

-5
2007

2008

2009

2010

2011

Sources: Bureau of Economic Analysis; Haver Analytics.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

This downward trend is the result of decreasing
shares at all levels of government; however, the
most significant factor has been cuts at the state
and local level. Unlike the federal government
share, which currently sits at 15.7 percent, state
and local government spending is now nearly 3
percent below its first-quarter 2007 level. Because
state and local government accounts for about 60
percent of total government spending, the trend in
this component has more weight than the federal
component on the overall government share.
Some of the decline in the ratio is also due to the
recovery of GDP, as the year-over-year change in
levels for GDP show steady growth since the beginning of 2010. Growth in state and local government has remained modest relative to its recent
history. Most striking is that federal government
expenditures (year-over-year) are negative for the
first time since the late 1990s, a period of government surpluses.
This time is different, however. Despite the downturn in government consumption and investment
relative to GDP, deficits continue to accrue. This is
because government as a component of GDP does
not include transfers; however, transfers greatly

7

GDP and Government Expenditures
Year-over-year percentage change
14
12
10

GDP

exceed tax revenue and nearly exhaust total revenues. This leaves little funding to pay for government consumption and investment, and so the
difference must be borrowed.

Federal
State and local

8
6
4
2
0
-2
-4
-6
1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011
Sources: Bureau of Economic Analysis; Haver Analytics.

Transfer Payments as a Fraction of GDP
Percent
17
16
15
14
13
12
11
10
1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011

Sources: Bureau of Economic Analysis; Haver Analytics.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

8

Households and Consumers

The Availability and Profitability of Credit Cards
03.16.2012
by O. Emre Ergungor and Patricia Waiwood
Credit cards serve a dual purpose in our economy.
First, they are used to pay for things in lieu of cash
or checks. Used in this way, they make it easier
for people to conduct day-to-day transactions and
manage their cash. At the same time, credit cards
are often used for short- or medium-term unsecured borrowing. Individuals may use the revolving
balance of a credit card to finance large purchases.

Credit Card Interest Rates
Spread over one-year treasury notes
14
13
All credit card accounts
12
11
10
9
8
7
2000 2001 2002 2004 2005 2006 2008 2009 2010
Note: Shaded bars indicate recessions.
Source: Federal Reserve Board.

Revolving Consumer Credit Outstanding
Quarter-over-quarter changes (percent)
4
3
2
1
0
-1
-2
-3
-4
2000 2001 2002 2004 2005 2006 2008 2009 2010
Note: Shaded bars indicate recessions.
Source: Federal Reserve Board: G.19 Release.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

Credit cards often carry substantially higher interest rates than, say, mortgages and auto loans,
because credit cards are not secured by marketable
assets and they have uncertain repayment periods.
Interest rates for credit cards can also serve as a
barometer for the broader risk profile of consumers
as well as the availability of credit to them. Following a peak at 14 percent in the first quarter of
2010, credit card interest rates have fallen over the
past two years. When interpreted jointly with the
increasing balances, this development suggests that
credit is becoming more available to consumers.
Credit has been growing, while at the same time,
lenders’ credit card portfolios have been getting
healthier. Charge-offs were particularly problematic
during the last recession, when they crept steadily
upward to hover around 10 percent for almost a
year. However, they started a determined decline in
the second quarter of 2010, a trend which in turn
led to a choppy but unmistakable rebound in credit
card issuers’ profit (as measured by the excess spread
rate).
Another factor that affects the availability and
cost of unsecured credit is liquidity in the market
for credit card debt. Historically, the asset-backed
securities (ABS) markets have funded a substantial
share of consumer credit loans. In the fall of 2008,
both the market for short-term bank funds and the
market for securitized credit card receivables seized
up, meaning banks could only fund new credit
card debt on their balance sheets. A visible result
was that for the five months between September
9

2008 and March 2009, no ABS secured by credit
card receivables were issued, as spreads on existing
securities spiked from around 1 percent to nearly 7
percent. In many cases, financial institutions chose
to severely restrict the amount of new credit extended. Balance sheet funding by commercial banks
continues to be the most widely observed form of
credit card lending even today. The total amount
of outstanding credit card debt held at commercial
banks is holding relatively steady at around $600
billion.

Credit Card Profitability
Percent
14
12
Excess spread ratea

10
8
6
4
2

While the virtual disappearance of an important
funding source could be a cause for concern, if
balance sheet lending leads to more responsible
lending and sound banking, credit market excesses
of the bubble years may be less likely to recur.

Charge-off rate

0
2000 2001 2002 2004 2005 2006 2008 2009 2010
a.Revenue less charge-offs and financing costs.
Note: Shaded bars indicate recessions.
Source: Standard & Poor’s

Credit Card Financing Sources

Credit Card ABS Issuance and Spreads
Billions of dollars

Spread over LIBOR

30

8
ABS issuance (left axis)
ABS spread (right axis)

7

25

Billions of dollars of revolving unsecured credit
1,200
1,000

6
20

5

15

4
3

10

800

Pools of securitized assets
Nonfinancial businesses
Savings institutions
Commercial banks

Credit unions
Finance companies

600
400

2
5
0
2000

1
0
2001

2003

2004

2005

2007

2008

2010

2011

Note: Shaded bars indicate recessions.
Sources: Bank of America Merrill Lynch, Financial Times.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

200
0
2000 2001 2002 2003 2005 2006 2007 2008 2010 2011
Note: Shaded bars indicate recessions.
Source: Federal Reserve Board: G.19 Release.

10

Inflation and Prices

Market-based Inflation Expectations
04.03.2012
by Mehmet Pasaguolari and Patricia Waiwood
Some prices and price indexes have shot up recently, but measures of core inflation have remained
low. The consumer price index (CPI) rose 5 percent
in annualized terms from January to February and
2.9 percent over the previous year. Energy prices
rose by 45.7 percent in annualized terms during the
month, and gas prices were responsible for almost
80 percent of the monthly increase in the CPI.
On the other hand, underlying inflation series do
not show an increasing inflationary trend. Indeed,
three-month changes in these series show a decline
after the summer and fall of 2011.

Inflation Measures
3-month annualized inflation rates
15.0
CPI
Core CPI
Trimmed-mean CPI

10.0
5.0
0.0
-5.0
-10.0
-15.0
3/2007 12/2007 9/2008

6/2009

3/2010 12/2010 9/2011

Sources: Federal Reserve Bank of Cleveland; Bureau of Labor Statistics.

Short- and Medium-Term Inflation
Expectations
Percent
3.5
3.0

Inflation
Inflation
Inflation
Inflation

swap, 1-year
swap, 2-year
swap, 3-year
swap, 4-year

2.5
2.0
1.5
1.0
0.5
0.0
1/2010

5/2010

9/2010

1/2011

5/2011

9/2011

1/2012

Source: Bloomberg.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

For more insight into where the rate of inflation
is likely to head in the future, we look at a couple
of measures that tell us how markets are currently
pricing future inflation. These measures are inflation swap rates and breakeven inflation rates.
Breakeven inflation is the difference between the
interest rate on Treasury bonds that are protected
against inflation (TIPS) and nominal Treasury
bonds, which are not. Inflation swaps are derivatives used to hedge against inflation (more here).
First, let’s look at short- and medium-term expectations calculated from inflation swaps. The rates on
one- to four-year inflation swaps have increased
considerably since last October. The increase in the
one-year swap rate is higher than the longer-term
swap rates. The one-year swap rate increased by
1.13 percent between October and March, ending
at 2.30 percent on March 27. In the same period,
the two-year swap rate increased by 92 basis points
and the four-year swap rate increased by 69 basis
points.
Although the rapid increase between October and
mid-March seems to reflect concern for higher
inflation in the short-to-medium term, we have to
note that these rates currently signal an inflation
level slightly above the Federal Reserve’s long-run
target of 2 percent. In addition, neither these levels
nor the rapid movements are uncommon for the
swap rate data.
11

Next, we check longer-term market-based expectation measures. In particular, we look at the fiveand ten-year inflation swap rates and the breakeven
inflation rates. All these rates experienced a path
similar to those of the short- and medium-term
measures. After a small decline in the second half
of March, the five-year breakeven rate is at 2.01
percent, and the ten-year breakeven rate is at 2.33
percent on March 27. The five- and ten-year inflation swap rates are 2.37 percent and 2.66 percent,
respectively. Again, although the breakeven and
swap rates are significantly higher for five- and tenyear maturities compared to the last fall, they do
not signal a significant inflationary threat.

Longer Term Measures of Inflation
Expectations
Percent
3.5

3.0

Inflation swap, 10-year
Breakeven inflation, 10-year
Inflation swap, 5-year
Breakeven inflation, 5-year

2.5

2.0

1.5

1.0
1/2010

5/2010

9/2010

1/2011

5/2011

9/2011

1/2012

Sources: Federal Reserve Board; Bloomberg.

Forward Measures of Long-Term Inflation
Expectations
Percent
4.0
3.5
3.0
2.5
2.0
1.5
1.0
1/2010

5-year, 5-year forward breakeven inflation rate
10-year, 10-year forward breakeven inflation rate
5-year, 5-year forward inflation swap rate
10-year, 10-year forward inflation swap rate
5/2010

9/2010

1/2011

5/2011

9/2011

1/2012

Finally, we check the forward measures of longterm inflation expectations, that is, expectations
of the inflation rate that will prevail for a specified
period beginning x-number of years in the future.
Specifically, we check the five-year, five-year forward and the ten-year, ten-year forward measures
of inflation calculated from swap rates, as well as
the breakeven inflation rates. These longer-term
rates have increased, too, since October, though to
a lesser extent than the shorter-term measures we
considered. In addition, the forward measures for
the longer term are lower than the shorter term.
For example, the five-year, five-year forward inflation swap rate is currently at 2.95 percent, while
the ten-year, ten-year forward breakeven inflation
rate is 2.85 percent. The breakeven inflation rates
for the same maturities are 2.65 percent and 2.47
percent, respectively.
Overall, we have seen a sizable increase in marketbased measures of inflation expectations since last
October, especially for shorter maturities, followed
by a reversal in the second half of March. However,
these inflation measures still do not reflect a rapid
inflationary period in either the medium or long
term. In fact, all market-based inflation-expectation
measures up to five-year maturities are currently below 2.5 percent, and the measures for longer-term
are below 3 percent.

Sources: Bloomberg; Federal Reserve Board.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

12

Labor Markets, Unemployment, and Wages

An Elusive Relation between Unemployment and GDP Growth: Okun’s
Law
04.05.2012
by Emily Burgen, Brent Meyer, and Murat Tasci
The unemployment rate fell from 9.1 percent to
8.3 in 2011, but real GDP grew only 1.6 percent.
That is much lower than its average growth of 2.6
percent since 1985. The slow GDP growth has led
some observers to question how sustainable the
recent improvement in the labor market is. Implicit
in this suspicion is the idea that the unemployment
rate can improve only so much given the modest
growth of economic activity. This idea is based on
an empirical relationship sometimes referred to as
Okun’s law, which is essentially a simple rule of
thumb that associates the growth rate in real GDP
to changes in the unemployment rate observed
around the same time.
We argue that the pace of improvement in the labor
market (as measured by the unemployment rate)
is, to a large extent, consistent with the pace of
the recovery in GDP. Looking at the relationship
between these two macro variables in slightly different ways shows that, if anything, the recession had
a larger impact on unemployment than one might
have anticipated, and what we’re seeing during the
recovery is not necessarily puzzling.

Okun’s Law, 1990-2011
Q4/Q4 change in unemployment, percentage
3.2
2.8
2.4
2.0
1.6
1.2
0.8
0.4
0.0
-0.4
-0.8
-1.2

2009

2011
-4

-2
0
2
4
Q4/Q4 change in Real GDP, percentage

Sources: Bureau of Economic Analysis; Bureau of Labor Statistics; authors’
calculations.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

6

A simple version of Okun’s law regresses the change
in the unemployment rate over a period in time
(usually a quarter, or in the picture below, a year)
on a constant and the change in real GDP growth
over the same period. If we just look at the data
from 1990 forward, 2009 and 2011 look somewhat remarkable. In 2009, the unemployment rate
jumped up 3.0 percentage points despite just a 0.5
percent decline in real GDP, well above the roughly
1.2 percentage point increase implied by Okun’s
law. Skipping over 2010 (which wasn’t too far off
the regression line), 2011 was unusual in the opposite direction; output growth increased 1.6 percent while the unemployment rate fell a mere 0.9
percentage point, even though according to Okun’s
law, it should have posted a modest increase.
13

Some analysts suggest that 2011 was a “catch-up”
year; they argue that in 2009 firms shed far more
workers than necessary (perhaps fearing a further
deterioration in the outlook), but once the outlook
appeared to be a little brighter, firms started bringing their employment levels back in line with expected growth. While this may be the case, looking
at the Okun’s law relationship over a longer period
of time makes 2009 and 2011 appear to be less
unusual. This leaves open the possibility that these
deviations are just noise.

Okun’s Law, 1948-2011
Q4/Q4 change in unemployment, percentage points
4.0
2009
3.0
2.0
1.0
0.0
-1.0

2011

-2.0
-3.0
-4

-2

0
2
4
6
8
10
Q4/Q4 change in Real GDP, percentage

12

14

Sources: Bureau of Economic Analysis; Bureau of Labor Statistics; authors’
calculations.

Okun’s Law, 1970:Q1–2011:Q4
Change in unemployment rate
5
4

Below average GDP growth
Above average GDP growth
Recovery

2009:Q3
2009:Q4

3
2

2010:Q1
2010:Q2

1

2010:Q3

0

2011:Q3
2011:Q2
2011:Q4 2011:Q1
2010:Q4

-1
-2
-3
-4
-0.06

-0.04

-0.02

0

0.02

0.04

0.06

0.08

Change in GDP growth
Sources: Bureau of Economic Analysis; Bureau of Labor Statistics.
Correction: April 6, 2012
This chart was updated to correct the positions of the recovery data points.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

0.1

However, if we look at another version of Okun’s
law, which relates the annual growth rate of GDP
over the past year and the associated change in unemployment rate at quarterly frequency since 1970,
these years stand out in a different way. There have
been many instances over the last five years when
the predicted unemployment-rate change was significantly above or below the simple line that represents Okun’s law. What is more striking is that
in six out of ten quarters since the recovery started
(through the fourth quarter of 2011), growth rates
were below the sample average of 2.6 percent. If
anything, the pace of the recovery as measured by
output has been very anemic.
This is not the first time that the behavior of the
unemployment rate during the Great Recession and
subsequent recovery has puzzled analysts. Over the
course of the recession, especially toward the end
of 2008 and the first two quarters of 2009, unemployment increased sharply to levels not seen since
the 1980s. At the time, we thought the aggregate
economy had contracted 3.6 percent over the
course of the recession from its pre-recession peak,
so the huge jump in the unemployment rate—from
5 percent to 9.5 percent—seemed way out of line.
Later, when government agencies revised their
estimates of GDP, the true severity of the output
loss during the recession was realized. It turns out
the the economy contracted 5.1 percent during the
downturn, the largest decline in postwar history. In
an unfortunate way, this made the recession more
consistent with historical patterns. Similarly, part of
the puzzle of 2011 (based on the first figure above)
might be resolved as we get revised data on GDP in
the future, though we think this is not as likely.
14

Recovery in Real GDP and Unemployment
Unemployment rate decline (percentage points)
4

3

1948-49
1981-82

2
2001

1953-54

1957-58
1960-61
1990-91 1973-75 1969-70
current

1

0
1980

-1
0

5

10

15

20

Real GDP increase, percent
Note: Size of bubble represents GDP decline during recession.
Sources: Bureau Economic Analysis; Bureau of Labor Statistics.

It is also important to recognize that Okun’s law is
just an empirical relationship. It may not necessarily reflect a structural link between output growth
and the unemployment rate. Moreover, the relationship might change over time as the dynamics of
the labor market change.

Okun’s Law–Deviations from Potential
Change in unemployment rate
6.0
4.0

Below potential GDP growth
Above potential GDP growth
Recovery

2.0
0.0
-2.0
-4.0
-6.0
-10.0

-5.0
0.0
5.0
Change in HP filtered GDP growth

Sources: Bureau of Economic Analysis; Bureau of Labor Statistics;
authors’ calculations.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

After the recession officially ended, the unemployment rate remained high, above 9 percent, for 22
consecutive months. Again, this very small improvement was puzzling to some. However, as we
argued elsewhere, unemployment usually lags the
economic cycle. Thus we need to look at a longer
time span to gauge the cumulative effect of output
growth on unemployment. To do this, we compute
the overall growth rate of GDP from its recession
trough through 10 quarters of the recovery for all
postwar recovery episodes and compare it to the
unemployment-rate improvement over the same
time interval. This exercise produces the following
chart, which shows that the fall in the unemployment rate in the current cycle is explained very well
by the growth in output. The current recovery lies
right along the estimated regression line. So the
relatively modest improvement in the unemployment rate can be closely linked to the recovery
in output. Relatively weak output growth in fact
seems to be a feature of all the recent “jobless”
recoveries.

10.0

For instance, one version of Okun’s law suggests
that the relationship between unemployment
and GDP gets very tight when the growth rate of
output is above its potential. However, looking at
the data over the last 40 years suggests that there
may be some asymmetry in the relationship over
the business cycle. Even though empirically there
seems to be a strong correlation between output
growth when it is below potential and increases in
the unemployment rate, this relationship disappears
when output is growing above potential.
Part of the explanation for this effect has to do
with the fact that we will always have some level of
unemployment even in good times, due to natural
churning in the labor market. As the economy goes
through a long expansion, unemployment will stabilize at this lower level, and additional growth may
not necessarily generate additional reductions in
15

the unemployment rate. The upshot is that the rate
may not go below that level. As a result, further
output growth will not necessarily manifest itself as
a further decline in the unemployment rate.
To sum up, it seems intuitive to think there is a
natural, robust relationship between changes in unemployment and changes in output. However, what
exact form it takes is a complicated problem that
requires going beyond the simple rule of thumb
given by Okun’s law.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

16

Monetary Policy

European Liquidity Strains
03.16.2012
by John Lindner
After peaking at $1.71 trillion last summer, the
level of reserves held at the Federal Reserve has declined. In the second half of 2011, reserve balances
shrank gradually, falling to just $1.55 trillion in
November and December. Given the public’s concerns about elevated reserve levels and all the new
tools the Fed has developed for managing reserves,
it is important for policymakers to understand
where those reserves have gone. Data suggest that a
large part of the decline in reserves was spurred by
foreign-related banks. A quick examination of the
Fed’s balance sheet, and the Fed’s data on the balance sheets of commercial banks, confirms that the
likely culprit was liquidity strains in Europe.

Reserves
Trillions of dollars
1.75
1.50

Excess
Required

1.25
1.00
0.75
0.50
0.25
0.00
12/2008

9/2008

4/2009 12/2009

8/2010

4/2011

12/2011

Source: Federal Reserve Board.

As an accounting identity, the Fed’s assets and liabilities have to remain even with each other. When
the level of reserves fell, which count as liabilities
for the Fed, the asset side of the balance sheet fell as
well. Part of the asset decline was a reduction in the
amount of outstanding loans in the Fed’s specialized lending facilities, which had been created
during the crisis. This part of the decline included
lower balances in the Maiden Lane portfolios and
the Term Asset-Backed Securities Loan Facility
(TALF). Another sliver represented brief delays
in the clearing of certain Fed security purchases,
which are part of its reinvestment programs.
But these asset-side declines were not enough to
keep pace with the fall in reserves. This excess slack
was picked up by increases in other Federal Reserve
liabilities. The two major categories that filled that
hole were foreign official reverse repurchase agreements and other deposits with Fed banks. Both of
these accounts deal with international institutions,
like the International Monetary Fund (IMF), and
foreign central banks, like the European Central
Bank (ECB).
After examining Federal Reserve data on the balance sheets of depository institutions, it becomes
clear that the movements in reserves were related

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

17

to the liquidity strains in Europe. The data are
compiled in the Fed’s H.8 data release, which looks
at the assets and liabilities of commercial banks.
Reserves held at the Fed accumulate in the “cash
assets” account, and they make up the vast majority of those balances. Large domestic commercial
banks saw a decline of $88 billion in cash assets
from July to December, but foreign-related institutions declined by an even larger $220 billion over
the same period.

Cash Assets of Commercial Banks
Change, in billions of dollars (seasonall adjusted)
100
50

Small domestic banks

0
-50
-100

Large domestic banks

-150
-200

Foreign-related institutions

-250
-300

End of 2011

-350
7/2011

8/2011

9/2011 10/2011 11/2011 12/2011 1/2012

2/2012

Source: Federal Reserve Board.

One possible explanation for the decline in the
assets of foreign-related institutions is that deposits
at those banks have been shrinking. Unlike domestic banks, whose deposits are primarily composed of demand deposits, foreign-related deposits
are mostly made up of time deposits. These time
deposits come from a number of sources, but one
major provider is money market funds.

Total Assets of Commercial Banks
Change, in billions of dollars (seasonally adjusted)
300
200
Large domestic banks

100
0

Small domestic banks

-100
-200

Foreign-related institutions
End of 2011

-300
7/2011

Where these reserves have gone has depended
upon the type of institution withdrawing from its
account. In the case of large domestic banks, the
reserves were used to expand lending operations
and acquire securities holdings. For this reason,
the total assets at large domestic banks remained
fairly constant over the second half of 2011 and
have even grown recently. However, the total assets
at foreign-related institutions tumbled along with
their reserve balances starting in July, and they have
yet to recover.

8/2011

9/2011 10/2011 11/2011 12/2011 1/2012

2/2012

Source: Federal Reserve Board.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

Money market funds are typically awash in cash,
since they generally are considered very safe money
managers and they are restricted to holding securities that mature over short time horizons. Their investments are usually limited to risk-free securities,
including government bonds and loans to highly
rated companies. In 2008, one of the largest money
market funds (the Reserve Primary Fund) acted
as a catalyst to the financial panic when it “broke
the buck,” and its net asset value fell below $1.
That fund had invested in the commercial paper of
Lehman Brothers. To avoid a comparable outcome
with European banks, it seems as if money funds
have withdrawn their funding of commercial paper
for many domestic branches of foreign banks.

18

Reports during the second half of 2011 repeatedly
highlighted the removal of funds from European
banking institutions by money market funds.

Deposits at Commercial Banks
Change, in billions of dollars (seasonally adjusted)
400
300

Large domestic banks

200
100

Small domestic banks

0
-100
-200

Foreign-related institutions
End of 2011

-300
7/2011

8/2011

9/2011 10/2011 11/2011 12/2011 1/2012

2/2012

Source: Federal Reserve Board.

Federal Reserve data show that there has been a decline in large time-deposits at foreign-related institutions, which is how the sale of commercial paper
is categorized on bank balance sheets. This means
that domestic foreign-related banks have seen a dramatic decline in the amount of dollar liquidity they
have available. To fill the gap, these foreign-owned
banks have drawn down their reserve balances.
Hence, the data show a decline in both cash assets
and total assets for foreign-related institutions.
Another data series that supports this story is “net
due to related foreign offices,” which is a measure of
the flows of dollars between domestic and foreign
offices of related institutions. Positive numbers
represent an inflow of dollars to US banks, which
will be due back to foreign offices, and negative
numbers represent flows out of the US to foreign
offices. To help domestic offices with the decline in
money market funding, foreign parent banks have
sent dollars to their US counterparts.

Net Due to Related Foreign Offices
at Commercial Banks
Change, in billions of dollars (seasonally adjusted)
300
Foreign-related institutions
200
100
Small domestic banks
0
-100
-200
Large domestic banks
-300
7/2011

8/2011

9/2011 10/2011 11/2011 12/2011 1/2012

2/2012

Source: Federal Reserve Board.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

The timing of events in Europe matches fairly well
with the data, as concerns about Italy’s finances
were heightened in August and September. It is also
notable that these effects have moderated recently
after efforts by the Fed and the ECB to provide
support to struggling banks. Specifically, the expansion of the central bank liquidity swap lines by the
Fed in late December, as well as after the ECB’s
long-term refinancing operations (LTRO), helped
provide European banks with more liquidity.

19

Monetary Policy

Yield Curve and Predicted GDP Growth, March 2012
Covering February 25, 2012–March 23, 2012
by Joseph G. Haubrich and Margaret Jacobson
Overview of the Latest Yield Curve Figures

Highlights
February

January

December

3-month Treasury bill rate
(percent)

0.09

0.11

0.04

10-year Treasury bond rate
(percent)

2.21

1.97

1.96

Yield curve slope
(basis points)

212

186

192

Prediction for GDP growth
(percent)

0.7

0.7

0.7

Probability of recession in
1 year (percent)

5.0

6.9

6.4

Yield Curve Predicted GDP Growth
Percent
4

Predicted
GDP growth

2
0
-2

Ten-year minus three-month
yield spread

GDP growth
(year-over-year
change)

-4
-6
2002

2004

2006

2008

2010

2012

Sources: Bureau of Economic Analysis, Federal Reserve Board, authors’
calculations.

Over the past month, the yield curve has gotten
noticeably steeper, as short rates edged down and
long rates jumped up. The three-month Treasury
bill dropped to 0.09 percent (for the week ending
March 16), down from 0.11 percent in February
but above January’s 0.04 percent. The ten-year rate
moved back above 2 percent, coming in at 2.21
percent, rising almost a full quarter of a percent
from February’s 1.97 percent and January’s 1.96
percent. The twist increased the slope about the
same. It stood at 212 basis points, up from January’s 192 basis points and February’s 186 basis
points.
The steeper slope was not enough to change projected future growth appreciably, however. Projecting forward using past values of the spread and
GDP growth suggests that real GDP will grow at
about a 0.7 percent rate over the next year, equal
to the past two months. The strong influence of
the recent recession is leading toward relatively low
growth rates. Although the time horizons do not
match exactly, the forecast comes in on the more
pessimistic side of other predictions, but like them,
it does show moderate growth for the year.
The steeper slope was good news on the recession
front, however. Using the yield curve to predict
whether or not the economy will be in recession in
the future, we estimate that the expected chance
of the economy being in a recession next March is
5.0 percent, down from February’s 6.9 percent and
January’s 6.4 percent. So although our approach is
somewhat pessimistic as regards the level of growth
over the next year, it is quite optimistic about the
recovery continuing.
The Yield Curve as a Predictor of Economic
Growth
The slope of the yield curve—the difference between the yields on short- and long-term maturity
bonds—has achieved some notoriety as a simple

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

20

Recession Probability from Yield Curve
Percent probability, as predicted by a probit model
100
Probability of recession

90
80
70

Forecast

60
50
40
30
20
10
0
1960

1966

1972

1978

1984

1990

1996

2002

2008

Note: Shaded bars indicate recessions.
Sources: Bureau of Economic Analysis, Federal Reserve Board, authors’
calculations.

forecaster of economic growth. The rule of thumb
is that an inverted yield curve (short rates above
long rates) indicates a recession in about a year, and
yield curve inversions have preceded each of the last
seven recessions (as defined by the NBER). One of
the recessions predicted by the yield curve was the
most recent one. The yield curve inverted in August
2006, a bit more than a year before the current
recession started in December 2007. There have
been two notable false positives: an inversion in late
1966 and a very flat curve in late 1998.
More generally, a flat curve indicates weak growth,
and conversely, a steep curve indicates strong
growth. One measure of slope, the spread between
ten-year Treasury bonds and three-month Treasury
bills, bears out this relation, particularly when real
GDP growth is lagged a year to line up growth with
the spread that predicts it.
Predicting GDP Growth
We use past values of the yield spread and GDP
growth to project what real GDP will be in the future. We typically calculate and post the prediction
for real GDP growth one year forward.
Predicting the Probability of Recession

Yield Spread and Lagged Real GDP Growth
Percent
10
8

One-year lag of GDP growth
(year-over-year change)

6
4
2
0
-2

Ten-year minus three-month
yield spread

-4
-6
1953 1959 1965 1971 1977 1983 1989 1995 2001 2007
Note: Shaded bars indicate recessions.
Sources: Bureau of Economic Analysis, Federal Reserve Board.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

While we can use the yield curve to predict whether
future GDP growth will be above or below average, it does not do so well in predicting an actual
number, especially in the case of recessions. Alternatively, we can employ features of the yield curve
to predict whether or not the economy will be in a
recession at a given point in the future. Typically,
we calculate and post the probability of recession
one year forward.
Of course, it might not be advisable to take these
numbers quite so literally, for two reasons. First,
this probability is itself subject to error, as is the
case with all statistical estimates. Second, other
researchers have postulated that the underlying
determinants of the yield spread today are materially different from the determinants that generated
yield spreads during prior decades. Differences
could arise from changes in international capital
flows and inflation expectations, for example. The
bottom line is that yield curves contain important
21

Yield Curve Spread and Real GDP
Growth
Percent
10
8

GDP growth
(year-over-year change)

6
4
2

information for business cycle analysis, but, like
other indicators, should be interpreted with caution. For more detail on these and other issues related to using the yield curve to predict recessions,
see the Commentary “Does the Yield Curve Signal
Recession?” Our friends at the Federal Reserve
Bank of New York also maintain a website with
much useful information on the topic, including
their own estimate of recession probabilities.

0
-2

Ten-year minus three-month
yield spread

-4
-6
1953 1959 1965 1971 1977 1983 1989 1995 2001 2007
Note: Shaded bars indicate recessions.
Source: Bureau of Economic Analysis, Federal Reserve Board.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

22

Regional Economics

Income Growth in the Fourth District since 1970
Median Household Income

04.05.2012
by Guhan Venkatu

Thousands of 2010 dollars

Columbus

55
50

U.S.
Pittsburgh

Cleveland
45
Cincinnati
40
35

1970

1980

1990

2000

2010

Notes: Metro area data are deflated using the personal consumption
expenditures chain-type price Index. U.S. data are deflated using the
consumer price index for all urban consumers, research series.
Sources: Bureau of Census; Bureau of Labor Statistics.

Median Household Income
Thousands of 2010 dollars
55
U.S.
50

Akron
Toledo

45
Youngstown
40
35

1970

1980

1990

2000

2010

Notes: Metro area data are deflated using the personal consumption
expenditures chain-type price Index. U.S. data are deflated using the
consumer price index for all urban consumers, research series.
Sources: Bureau of Census; Bureau of Labor Statistics.

Median Income and Manufacturing in
100 Largest U.S. MSAs
Percent change in median
household income, 1970−2010
150

Fourth District MSAs
Other Fed District MSAs

100

50
Cincinnati

Columbus
Pittsburgh

0

Toledo

0

10

20

30

Akron
Cleveland
Dayton

40

Youngstown

50

Manufacturing share of employment in 1970

One of the key ways to assess the economic wellbeing of residents in an area is to consider the area’s
median household income. Median household
income is the income level at which half of all the
households in the area have less income and half
have more. Unlike average income, median income
is less sensitive to extremes in the distribution. As
such, it is a better representation of the amount of
income available to a typical household.
Inflation-adjusted median household income in the
United States has risen from just under $44,000 in
1970 to around $50,000 in 2010, an increase of
about 13 percent in real purchasing power. Over
this same period, median household incomes in
some of the major metropolitan statistical areas
(MSAs) of the Fourth District have taken different paths. Columbus and Cincinnati have seen
the strongest gains among the eight District MSAs
shown in the charts below. Pittsburgh has also seen
notably larger increases in median household income than the other areas. Interestingly, these three
MSAs began the 40-year period with the lowest
median household incomes among the eight areas
shown. The remaining five District MSAs have seen
very little real income growth over this time, and
indeed a few have seen outright declines.
What accounts for these differing trajectories?
For the 100 largest U.S. metro areas in 1970, two
factors explain almost a third of the variation in
median household income growth over the subsequent 40 years: the share of overall employment
in the area that was in manufacturing industries in
1970 and the percentage of the population with
bachelor’s degrees (BAs) in 1970.
Metro areas that had a higher manufacturing-employment share in 1970 generally had less median
household income growth from 1970 to 2010.
The District MSAs among the nation’s 100 largest
generally conformed to this broader pattern. They
are in the lower-right quadrant of the chart below,

Source: Bureau of Census.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

23

that is, in the upper half of the distribution of
manufacturing-employment share and in the lower
half of the income-growth distribution.

Median Income and Education in 100
Largest U.S. MSAs
Percent change in median
household income, 1970−2010
150

Fourth District MSAs
Other Fed District MSAs

125
100
75
50

Columbus

25

Pittsburgh

Cincinnati

Akron
Cleveland

Toledo

0

Youngstown

5

Dayton

10

15

20

25

Percent of population over 25 with BA in 1970
Source: Bureau of Census.

Median Income and Manufacturing
over Time
Percent change in median
household income, next 20 years
Fourth District MSAs, 1970
Other Fed District MSAs, 1970
Fourth District MSAs, 1990
Other Fed District MSAs, 1990

80
60
40

Columbus

20

Cincinnati

Pittsburgh
Cincinnati
Akron

Columbus

0
Toledo

Cleveland

Toledo
Pittsburgh Dayton
Akron
Cleveland
Youngstown

Youngstown

Dayton

−20
0

10
20
30
40
Manufacturing share of employment

50

Source: Bureau of Census.

Median Income and Education over Time
Percent change in median
household income, next 20 years
Fourth District MSAs, 1970
Other Fed District MSAs, 1970
Fourth District MSAs, 1990
Other Fed District MSAs, 1990

80
60
40
Columbus

20

Cincinnati
Cincinnati
Pittsburgh

Toledo

Dayton

Pittsburgh
Akron
Cleveland Akron
Cleveland
Youngstown
Youngstown
Dayton
Toldeo

0

Columbus

−20
0

10

20

30

The share of residents with a BA in 1970 was also
predictive of median income growth in a metro
area from 1970 to 2010. This time, the Fourth District’s MSAs are clustered in the lower-left quadrant
of the chart, that is, generally low in BA attainment
in 1970 and low in income gains over the 40 years
thereafter. (There is some correlation between the
manufacturing-employment share and BA attainment. However, even after accounting for this, each
variable has an independent influence on median
household income growth.)
Have these relationships changed over time? One
way to consider this question is to split the 40-year
period into two equal parts (1970-1990 and 19902010) and do the same sort of analysis as done
above. Since we’re measuring income changes over
shorter periods in this case, we can’t make a direct
comparison to the results using the entire period.
However, we can get a sense of how important the
manufacturing-employment share and BA attainment are in predicting income growth in the ensuing 20-year periods, and whether this influence is
changing over time.
For the manufacturing-employment share, the
relationship to median household income growth
does not appear to change noticeably in the two
20-year periods. When we take the manufacturingemployment share in 1970 and 1990 and plot these
against the changes in median household income in
the subsequent 20 years, the slopes of the two bestfit lines don’t differ much.
The story for BA attainment, however, is quite different. There is a noticeable difference between the
two periods. BA attainment appears to be much
more important in the earlier period than it is in
the later period. While there still seems to be a
positive relationship between initial BA attainment
and subsequent income growth, the slope of the
best-fit line is actually statistically indistinguishable
from zero.

40

Percent of population over 25 with BA
Source: Bureau of Census.

Federal Reserve Bank of Cleveland, Economic Trends | April 2012

24

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