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September 2012 (August 10, 2012-September 14, 2012)

In This Issue:
Banking and Financial Markets
 Bank-Holding Companies in the Last Decade

Labor Markets, Unemployment, and Wages
 Delaying Enrollment and College Completion

Growth and Production
 Behind the Strength in Exports

Monetary Policy
 The Evolving State of the Fed’s Security
Holdings
 Yield Curve and Predicted GDP Growth,
August 2012

Households and Consumers
 The Great Recession’s Impact on Hours Worked
and Employment
Inflation and Price Statistics
 Visualizing Disinflation…And No, We’re Not
There Yet

Regional Economics
 Long-Term Population Changes in Cities

Banking and Financial Markets

Bank-Holding Companies in the Last Decade
08.29.2012
by Mahmoud Elamin and Bill Bednar

Number of BHC by Total Assets
With over $500 million in assets, as of last reporting period

Generally speaking, a bank-holding company
(BHC) is a company that controls more than 25
percent of the voting securities of an FDIC-insured
bank. One exception is if the company is holding
the securities for trade. Such companies are not
classified as BHCs. Below we discuss the condition
of U.S. BHCs since 2001. We focus on those with
assets of more than $500 million.

500
450
400
350
300
250
200
150
100
50
0
< 1 billion

1-10 billion

10-50
billion

50-750
billion

> 750
billion

Source: Call Reports.

BHC Distribution by Asset Size
With over $500 million in assets, as of last reporting period

BHCs have to file quarterly financial forms called
“call reports” with their primary regulator, the Federal Reserve Board. These reports form the basis of
our discussion. Note that we drop BHCs with assets below $500 million from the sample, since the
reporting regime changed slightly and these BHCs
report differently before and after 2006.

10000
9000

We first look at the current number of BHCs distributed across five different categories of asset size.
We see that the larger the asset size class, the fewer
the banks there are in it. As of June 2012, there
are only six BHCs with more than $750 billion in
assets and more than 450 that have between $500
million and $1 billion in assets.

8000
7000
6000
5000
4000
3000
2000
1000
0
< 1 billion

1-10 billion

10-50
billion

50-750
billion

> 750
billion

Source: Call Reports.

Number of Bank Holding Companies
With More Than $500 Million in Assets
Thousands

Next we look at how assets are distributed across
these asset size classes. That is, we sum the total dollar amount of assets held by the BHCs in each of
the size categories of the chart above. We find that
almost 60 percent of total assets are held by the top
6 banks. It is no surprise that we hear constant talk
about the importance of too-big-to-fail institutions.

1000

The number of BHCs has risen steadily since 2001.
Neither the recession after the dot-com bubble nor
the Great Recession has discouraged new bankholding company starts.

950
900
850
800
750
700
650
600
550
500
2001

2003

2005

2007

2009

2011

The increase in BHCs has been mainly driven by
banks with assets below $10 billion. The number
of banks with assets between $10 billion and $750
billion has largely stagnated in the last decade or so.
The Great Recession has not altered these trends.

Note: Shaded bars indicate recessions.
Source: Call Reports.

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

2

We next look at the growth of assets in dollar
amounts across the asset size classes. Assets held by
the smaller BHCs have grown significantly.

Number of Small Bank Holding Companies
By asset size
600

The assets of banks with between $10 billion and
$750 billion have largely stagnated in the last
decade, with the Great Recession having no large
effect on the dollar amount of assets they hold. The
most spectacular growth is in the assets of banks
with assets over $750 billion—these have increased
almost tenfold. Clearly, the Great Recession has
continued the trend of concentrating assets in the
largest banks.

550
500
450
400

$500 million-$1 billion

350
300

$1-$10 billion

250
200
150
2001

2003

2005

2007

2009

2011

Note: Shaded bars indicate recessions.
Source: Call Reports.

Number of Large Bank Holding Companies

Assets of Large Bank Holding Companies

By asset size

By asset size (billions of dollars)

80
70

$10-$50 billion

60
50
40

$50-$750 billion

30
20
10
0
2001

Greater than $750 billion
2003

2005

2007

2009

2011

Note: Shaded bars indicate recessions.
Source: Call Reports.

11000
10000
9000
8000
7000
6000
5000
4000
3000
2000
1000
0
2001

Greater than $750 billion

$50-$750 billion

$10-$50 billion

2003

2005

All bank holding companies

1200

20

1080

18
16

960
$1-$10 billion

Total capital ratio

14

720

12

600

10

480

8

360

6
$500 million-$1 billion

2005

Tier 1 capital ratio
Tier 1 leverage ratio

4

240
2003

2011

Average Bank Capitalization Ratios

By asset size (billions of dollars)

120
2001

2009

Note: Shaded bars indicate recessions.
Source: Call Reports.

Assets of Small Bank Holding Companies

840

2007

2007

2009

2011

Note: Shaded bars indicate recessions.
Source: Call Reports.

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

2
2001

2003

2005

2007

2009

2011

Note: Shaded bars indicate recessions.
Source: Call Reports.

3

Finally, we look at the average bank capitalization
ratios of BHCs. Generally speaking, capital is what
remains when the value of liabilities is subtracted
from the value of assets, but it can be measured in a
number of ways. Tier 1 capital is the sum of common equity, noncumulative preferred stocks, and
minority interests. The tier 1 capital ratio and the
total capital ratio both dipped to their lowest point
during the financial crisis and then reversed course
and trended upwards. These ratios are, respectively,
the ratio of tier 1 capital to total risk-weighted
assets and the ratio of total capital to total riskweighted assets. After the crisis, the tier 1 leverage
ratio, the ratio of tier 1 capital to average total
tangible assets, improved slightly.

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

4

Growth and Production

Behind the Strength in Exports
08.31.2012
by Pedro Amaral and Margaret Jacobson
The Bureau of Economic Analysis estimates that
GDP grew at an annualized rate of 1.7 percent
in the second quarter. While this is an improvement over its advance estimate of 1.5 percent, it
still means that GDP growth decelerated slightly
from the first quarter, when it came in at 2 percent. Though Personal Consumption Expenditures
slumped from a growth rate of 2.4 percent in the
first quarter to 1.7 percent—as the production
growth of goods practically stagnated—they were
still the largest contributor to GDP growth along
with exports, which accelerated to a 6 percent clip
from 4.4 percent in the previous quarter.
In fact, despite the recovery’s frustratingly slow
growth, exports have averaged 8 percent yearly
growth since the beginning of 2010 and continue
to reach record levels in terms of total nominal and
real dollars. The ratio of exports to GDP has been
growing at a far faster rate in the current recovery
than in an average one. Why are exports growing at
an unprecedented pace while the rest of the economy remains sluggish?

Growth in Exports as a Percent of GDP
Percent change from recession trough
30
25
20
15
10
5
0
-5
-10
0

1

2

3

4

5

6

7

8

9 10 11 12 13 14 15 16

Quarters from recession trough
Source: Bureau of Economic Analysis.

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

This strength is even more puzzling when placed
in the context of the global slowdown. With many
European countries in or on the brink of recession, and fast-growing emerging countries posting
below-average growth rates, we would expect to
see some slowing in export activity. Exports have
cooled from double-digit gains seen in 2010, but
they are still averaging a 4.5 percent growth rate
over the last four quarters, which is largely in line
with previous expansions.
Although the recent global slowdown is likely
weighing on foreign demand for American goods
and services, U.S. exports have been steadily increasing since the mid-1970s. The forces of rapid
growth, industrialization, and declining trade barriers have led to a growing demand for American
goods and services that has spanned several decades.
Looking at the ratio of exports to GDP we see that
5

from the postwar period to the mid-1970s exports
comprised about 5 percent of GDP. In the past
decade they averaged roughly 11 percent of GDP
and are currently quickly approaching 14 percent.
Some of the strength in exports seen throughout
the current recovery can therefore be attributed to
this long-run trend.

Exports as a Percent of GDP
Percent
18
16
14
12
10
8
6
4
2
0
1948

1956

1964

1972

1980

1988

1996

2004

2012

Source: Bureau of Economic Analysis.

Trade-Weighted Exchange Value
of the U.S. Dollar
Index, March 1973=100
150
140
130
120

Nominal versus major currencies

110
100
90
80
70
60

In addition to foreign demand, another factor
that determines the level of exports is the value of
the dollar relative to other currencies. If the dollar is depreciating, we would expect to see exports
increase since dollars become cheaper to foreigners,
which in turn allows them to import a larger quantity of goods and services. The dollar has declined
relative to major currencies throughout most of
the last decade and has hit multidecade lows since
the onset of the crisis and throughout the recovery.
This depreciation has created favorable conditions
for U.S. exports and has likely helped contribute to
their strength as well.
In summary, the combination of long-term trends
of rising foreign demand and a declining dollar
likely account for how much better exports are
doing, relative to GDP, in this recovery compared
to previous ones. In the short term, though, if the
global slowdown continues to take its toll, we will
likely see some cooling down in exports.

50
1973 1977 1981 1985 1989 1993 1997 2001 2005 2009
Source: Federal Reserve Board.

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

6

Households and Consumers

The Great Recession’s Impact on Hours Worked and Employment
08.29.2012
by Dionissi Aliprantis

Average Weekly Hours Worked and
Employment (Total Private)
Average hours

Employment (millions)

40

120

38

100

36

80

34

60

32

40
1965

1975

1985

1995

2005

Note: Shaded bars indicate recessions.
Source: Current Employment Statistics/Bureau of Labor Statistics.

Employment, Goods and Service Sectors
Employment, millions
100
Employment,
services

80
60
40

Employment,
goods

20
0
1965

1975

1985

1995

2005

Note: Shaded bars indicate recessions.
Source: Current Employment Statistics/Bureau of Labor Statistics.

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

Employers can respond to the economy by hiring, not hiring, or firing employees, as well as by
choosing the hours worked by employees. It is not
immediately obvious how these choices might be
related over a given time period. In an economic
downturn, for example, employers might decrease
the number of workers they employ and increase
the hours of their remaining employees so as to
decrease their costs from benefits. Or employers
might choose to decrease the hours their employees
work to avoid laying off or firing employees. Or
employers might decrease the number of workers
and the hours of those remaining simultaneously.
To investigate the impact of the Great Recession on
hours worked I retrieved Current Employment Statistics (CES) survey data from the Bureau of Labor
Statistics. I began by examining trends in both the
level of total private payroll employment and the
average weekly hours worked by production and
nonsupervisory private employees. Those data show
there was a major drop in both employment and
average hours worked during the Great Recession.
However, the drop relative to long-term trends
is different for each of these variables. While the
drop in aggregate employment appears as a deviation from a positive long-run trend, the decrease
in hours during the Great Recession only seems to
be an acceleration of a long-run decrease in weekly
hours worked.
Decomposing these series into sectors, we can see
the well-documented growth of the U.S. service
sector. Employment in the goods-producing sector
has declined only relative to employment in the
service-providing sector, not in the absolute number of jobs.
This means that, although there was a smaller
absolute loss of jobs during the Great Recession in
the goods sector relative to the service sector (3.6
million and 4.1 million jobs lost, respectively), the
share of jobs lost was much greater in the goods7

producing sector (16.2 percent versus 4.4 percent).
This loss came after employment in the goodsproducing sector had already declined from 24.6
million to 22.0 million between January 2000 and
December 2007.

Average Weekly Hours Worked,
Goods and Service Sectors
Average hours
42
40
Average hours,
goods

38
36

Average hours,
services

34
32
1965

1975

1985

1995

2005

Note: Shaded bars indicate recessions.
Source: Current Employment Statistics/Bureau of Labor Statistics.

The long-run decrease in average hours worked
can be better understood by examining the data on
the average hours worked in each sector, together
with data on the growth of the service sector. The
increase in the share of employees working in the
service sector, where employees typically work
fewer hours, can account for much of the long-run
decrease in hours. However, the shift to the service
sector would have had a muted impact on hours
if not for the decrease in hours in that sector over
time. Between January 1964 and December 2007,
average weekly hours in the service sector fell from
37.5 hours to 32.4, with most of the decrease occurring by 1990.
Focusing on the impact of the Great Recession,
we see that the changes in average hours worked
were larger in both absolute and relative magnitude for the goods-producing sector. Average hours
for goods-producing employees fell by 1.6 hours
between December 2007 and June 2009, a 3.9
percentage point drop. Meanwhile, average hours
fell just 30 minutes over the same period for private
service-providing employees, a 1.5 percentage point
decrease.
Returning to the first chart, we see that average
hours worked have returned to levels experienced
prior to the Great Recession. Service-providing
hours had returned to their December 2007 level
by May 2012, and the recovery in goods-producing
hours has been strong enough that the average
weekly time worked in that sector actually increased
by 24 minutes between December 2007 and May
2012. Since there is historically a positive correlation between the lagged change in average weekly
hours and the current change in employment, this
recovery in average hours could be a positive indicator for future employment.

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

8

Inflation and Price Statistics

Visualizing Disinflation…And No, We’re Not There Yet
08.20.2012
by Brent Meyer

July Price Statistics
Percent change, last
1mo.a

3mo.a

6mo.a

12mo.

5yr.a

2010
average

All items

0.6

‒0.8

1.0

1.4

1.9

3.0

Excluding food and
energy (core CPI)

1.0

2.0

2.2

2.1

2.8

2.2

Medianb

2.5

1.8

1.9

2.3

1.9

2.3

16% trimmed meanb

1.3

1.4

1.7

2.0

2.0

2.6

Sticky CPI

1.8

2.1

2.1

2.3

2.0

2.1

Sticky CPI excluding
shelterc

1.3

2.3

2.2

2.4

2.2

2.3

Consumer Price Index

a. Annualized.
b. Calculated by the Federal Reserve Bank of Cleveland.
c. Author’s calculations.
Source: Bureau of Labor Statistics.

Price-Change Distribution (Disinflation)
Annualized percent change, 2009-2010

The Consumer Price Index (CPI) was virtually flat
for the second consecutive month, rising at an annualized rate of just 0.6 percent in July, and is only
up 1.1 percent over the past six months. While
much of this softness has to do with declining
energy prices, the core CPI (which excludes food
and energy items) rose just 1.1 percent in July compared to its 12-month growth rate of 2.1 percent.
Measures of underlying inflation produced by the
Federal Reserve Bank of Cleveland—the median
CPI and 16 percent trimmed-mean CPI—disagreed on how soft July’s data were. The median
CPI rose 2.5 percent during the month, while the
16 percent trimmed-mean CPI increased just 1.3
percent. Rents were the primary cause of the disparity in July. In contrast to the softness elsewhere
in the market basket, rents continued to increase.
Rent of primary residence jumped up 3.8 percent
in July and is up 2.8 percent over the past year.
Owners’ equivalent rent (OER) rose 2.1 percent
during the month, compared to its growth rate over
the previous three months of 1.5 percent.

8

Given the current environment of sluggish GDP
growth and an elevated unemployment rate, unwanted disinflation—a slowing in the rate of inflation—may raise some concerns. To be clear, July’s
data are only one month’s worth, and even after
factoring them in, the recent (six-month) trend in
many underlying inflation measures is still within a
few percentage points of 2.0 percent.

6
4
2

0
-2
-4
-6
-6

-4

-2

0

2

4

6

8

Annualized growth rate, 1998-2007
Source: Bureau of Labor Statistics.

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

We can use the component price-change distribution to gauge the breadth (or lack thereof ) of
the recent softness in retail prices. The following
“bubble-plots” plot the 45 components of the retail
market basket used in calculating the median CPI.
The size of the bubble corresponds to the relative importance (or weight) that each component
carries in the market basket. In all the pictures,
the longer-run (10-year) annualized growth rate
in each component is plotted along the horizontal
9

Price-Change Distribution, 2012:Q1-Q3
Annualized growth rate, past 6 months

8
6
4
2

0
-2
-4
-6
-8
-8

-6

-4
-2
0
2
4
Annualized growth rate, past 10 years

6

8

Source: Bureau of Labor Statistics.

Price-Change Distribution for Core and
Noncore Items, 2012:Q1-Q3
Annualized growth rate, past 6 months

“Core” components
Food and energy
components

4

2
0
-2
-4
-6
-8

-8

-6

-4

-2

0

The first bubble-plot is a clear example of disinflation. The 2009-2010 period was the closest the
United States has come to deflation since the Great
Depression. During this period, the median CPI
averaged an increase of 0.9 percent and actually
decreased in four of those 24 months. The bubbleplot reflects the fact that most components exhibited a sharp slowdown from their respective longerrun (10-year) trends (I omitted 2008 because the
energy price shock would have exacerbated the
slowdown). From 2009-10, 29 out of 45 components, or roughly 75 percent of the market basket
by expenditure weight, increased at a rate at least
1.0 percentage point slower than their respective
longer-run trends.
In contrast, over the past six months just 17 out of
45 components (comprising less than a quarter of
the overall index by expenditure weight) are trending more than 1.0 percentage point slower than
their respective longer-run trend.

8
6

axis. And the component price change for the time
period in question is plotted on the vertical axis. If
the bubble lies below the 45 degree line, its growth
rate is slower than its longer-run trend. If it’s above,
the growth rate is higher than trend.

2

4

6

8

Annualized growth rate, past 10 years
Source: Bureau of Labor Statistics.

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

For those that view food and energy price movements as entirely transitory, the lack of a disinflationary shift becomes more distinct. After excluding food and energy items, just 9 of the remaining
33 components (11 percent by expenditure weight)
are trending more than a percentage point slower
than their longer-run trend.
While the recent retail price data are coming in a
little softer, it’s just that...a little softer. The underlying price distribution doesn’t reveal anything close
to the broad-based deceleration in prices that we
witnessed during 2009-2010.

10

Labor Markets, Unemployment, and Wages

Delaying Enrollment and College Completion
09.04.2012
by Jonathan James
The effect of a postsecondary education on labor
market outcomes has been a central focus for policymakers and researchers. One reason for the interest is that significant evidence suggests that workers
with a postsecondary education, in particular a
bachelor’s degree, enjoy higher wages and higher
job satisfaction. However, only about 30 percent
of individuals who start a postsecondary education
(including four-year, two-year, and less than twoyear schools) will actually attain a bachelor’s degree,
even looking six years past their first date of enrollment.

Education Outcomes Six Years
After First Enrollment
Percent
60
50

Bachelor’s degree or higher
Associate’s degree
Certificate

No degree, still enrolled
No degree, not enrolled

40
30
20
10
0
0

1

2-4

5-9

10+

Years between high school and postsecondary enrollment
Sources: NCES, author’s calculations.

One of the strongest correlates with bachelor
degree completion is the timing of postsecondary
education. About two-thirds of new postsecondary
enrollees arrive immediately after completing their
secondary education, while the other one-third
experience a gap of one year or more between high
school completion and beginning their postsecondary career. Between these two groups, those that
delay postsecondary education are five times less
likely to attain a bachelor’s degree in six years than
those who begin immediately from high school.
Even restricting the comparison to those who only
delay their postsecondary education by one year,
this group is still more than three times less likely
to complete a bachelor’s degree, with a completion
rate of 14 percent, compared to 43 percent for immediate enrollers. In addition, although this group
is more likely to earn other credentials from their
postsecondary education, like associate’s degrees
and certificates, they are also significantly more
likely to end their postsecondary education without
receiving any degree or certificate at all, with 44
percent of those delaying college by one year dropping out altogether compared to 27 percent for
immediate enrollers.
Remarkably, most first-time postsecondary enrollees report long-term educational aspirations of a
bachelor’s degree or higher. Those not delaying

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

11

Highest Degree Ever Expected
Percent
70

Certificate
Associate’s degree
Bachelor’s degree or higher
Graduate degree

60
50
40
30

postsecondary education have the highest expectations, with more than 90 percent expecting a
bachelor’s degree or higher. Those delaying postsecondary education by one year have very similar expectations, at 83 percent. Perhaps more surprising,
more than 50 percent of those first-time enrollees
who have a 10-year gap or more since high school
completion aspire to complete a bachelor’s degree
or higher.

20
10
0
0
1
2-4
5-9
10+
Years between high school and postsecondary enrollment
Sources: NCES, author’s calculations.

Characteristics of Post Secondary
Education In First Year
Percent
90
80
70
60
50
40
30
20
10
0

No delay in enrollment
Delayed enrollment by one year

Took
Above median Enrolled in
ACT/SAT
ACT for
a four-year
ACT takers
institution

Enrolled
full-time

Working
full-time while
enrolled

Sources: NCES, author’s calculations.

Bachelor Completion Rates
Percent
80
70

No delay in enrollment
Delayed enrollment by one year

60
50
40
30
20

How can we understand these large differences in
outcomes despite very similar expectations? One
explanation may be that these individuals, even
those delaying postsecondary school by just one
year, differ from those that do not delay in meaningful ways, and the differences affect their probability of completion. Four relevant factors would
be academic preparation, the level of the institution
initially enrolled in, the intensity of enrollment,
and employment while enrolled.
Looking at these factors, we see noticeable differences for those delaying postsecondary education
by one year. First, these individuals are less likely
to have taken the ACT or SAT, and those who do
take it have lower scores on average than those who
begin their postsecondary education directly after
high school. Second, only 24 percent of students
delaying their enrollment begin their postsecondary
education in a four-year institution, compared with
58 percent for immediate enrollers. While individuals are able to transfer to a four-year institution
from a two-year school and complete their bachelor’s degree, this occurs in about only 10 percent
of cases.
Third, the majority of non-delayers, 78 percent, report being enrolled in school exclusively full-time,
while for those delaying one year the proportion is
59 percent. Finally, highly related is the difference
in employment responsibilities between the two
groups. Those delaying college are twice as likely to
be employed full-time during their first year of college compared to immediate enrollers.

10
0
All data

Enrolled in
two-year
institution

Enrolled in Enrolled in four-year
four-year
institution and
institution
above median
ACT score

Sources: NCES, author’s calculations.

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

Restricting the comparison to similarly situated students provides better insight into the relationship
between these variables. Looking at just those individuals who start their postsecondary education in
a two-year school, those coming directly from high
12

school are only 70 percent more likely to attain a
bachelor’s degree than those who delay, compared
to three times more likely when we just compare all
students who delay against those who don’t.
Turning to first-time four-year enrollers, immediate
enrollers are twice as likely to complete a bachelor’s degree, at 64 percent versus 32 percent. If we
condition this population even further and examine those enrolling in four-year schools with ACT
scores above the median, the gap shrinks further,
such that immediate enrollers are only 50 percent
more likely to complete a bachelor’s degree.
These results indicate that observable factors are
important in explaining part of the disparity in
completion rates. However, even after restricting
the analysis to similar populations, large differences
still remain. We cannot infer a causal relationship
in these differences from such a simple analysis.
Further study requires understanding the importance of unobserved factors influencing these patterns. For example, some individuals may be more
committed to completing a bachelor’s degree, and
their level of commitment may be reflected in the
fact that they choose to begin college immediately
from high school. Alternatively, around 90 percent
of those delaying school say that working was the
reason for the delay. This may suggest that these
individuals may be more income-constrained and
may find a bachelor’s degree too costly to complete.
One thing is clear. While policymakers espouse the
benefits of higher education, encouraging individuals to begin a postsecondary education is one thing;
getting them to complete it may be a completely
different story.

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

13

Monetary Policy

Policy Rule Changes
08.31.2012
by Charles T. Carlstrom and Samuel Chapman
One area of active interest for both policymakers
and market watchers is to find a simple rule (or rule
of thumb) that approximates Fed policy on interest
rates. John Taylor came up with the first such rule
in 1993, and since then, a number of variations
have been proposed. One variation suggests that
the Fed responds positively to increases in inflation
above target (currently 2 percent) and negatively
when unemployment increases.

Taylor Rule Predictions
Percent
7

While this simple rule of thumb tracks broad
movements in the federal funds rate, the average
absolute value of the miss is 87 basis points. To put
this another way, if we assumed that our best guess
of today’s funds rate was yesterday’s funds rate,
the average absolute miss would only be 32 basis
points.

Effective federal funds rate

6
5
4
Taylor rule

3
2
1

Average absolute residual: 0.87
0
3/1993
6/1996
9/1999

12/2002

3/2006

Sources: Federal Reserve Bank of Philadelphia; Bureau of Economic Analysis;
Bureau of Labor Statistics; authors’ calculations.

Partial Adjustment Level Rule
Percent
7
Effective federal funds rate
6
Level rule
5
4
3

Miss: 1.33
percentage points

2
1

Average absolute residual: 0.32
0
3/1993
6/1996
9/1999

12/2002

3/2006

Sources: Federal Reserve Bank of Philadelphia; Bureau of Economic Analysis;
Bureau of Labor Statistics; authors’ calculations.

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

For this reason, it is frequently argued that the Fed
responds not only to inflation and unemployment,
but also to last quarter’s funds rate. A rule incorporating all of these elements is known as a partial
adjustment rule. In practice, this rule would mean
that the central bank uses the Taylor rule as its intermediate target and only partially moves the level
of the funds rate to this value at every meeting.
At first glance, this rule tracks the funds rate
remarkably well. But looks can be deceiving. The
deviation of the funds rate from its predicted value
is given by the vertical distance in the chart below.
Take the end of 2001, for example. The miss on
that date was a whopping 133 basis points. Since
the average absolute funds rate change is only 32
basis points, this 133 basis point miss is huge. Even
more disconcerting is that it does not beat the naive
rule, where the funds rate today is given by yesterday’s funds rate and the average absolute miss is 32
basis points. As the chart shows, the partial adjustment rule is essentially a simple phase shift of the
actual funds rate.
Obviously, there is still something important missing from this partial adjustment rule. One possibil14

January Price Statistics
Percent change, last
1mo.a

3mo.a

6mo.a

12mo.

5yr.a

2010
average

All items

2.5

1.2

1.8

2.9

2.3

3.0

Excluding food and
energy (core CPI)

2.7

2.2

2.1

2.3

1.8

2.2

Medianb

3.0

2.6

2.7

2.4

2.0

2.3

16% trimmed meanb

2.9

2.0

2.3

2.6

2.1

2.6

Sticky pricec

3.0

2.7

2.6

2.2

2.0

2.1

Flexible pricec

1.4

–1.8

0.0

4.8

3.0

5.5

Consumer Price Index

a. Annualized.
b. Calculated by the Federal Reserve Bank of Cleveland.
c. Author’s calculations.
Source: Bureau of Labor Statistics.

Percent
7
6
Level rule

4
3

Effective federal
funds rate

2
1

Average absolute residual:
Level rule: 0.32
Change rule: 0.22

0
3/1993

6/1996

9/1999

Change rule
12/2002

Metaphorically, if a boat is traveling east toward
the harbor at five knots, should we think of the
constantly changing location as a change in the
skipper’s policy, or should we think of a change in
the skipper’s policy as a change in the boat’s speed?
With a level policy, the current speed is independent of the past speed and depends only on his
current distance from his destination. But such
a policy may imply a very sharp acceleration or
deceleration, which could be uncomfortable for the
passengers (markets). The change in policy we consider is one where the skipper considers both the
distance from the destination and his recent speed.
This implies a smoother path into the harbor.
We explore a description of monetary policy expressed in terms of funds rate changes, instead of
the level of the funds rate. Here the change in the
funds rate moves gradually toward an intermediate
target. There is a subtle but important distinction
between the traditional level rule and our change
rule. Suppose that at the previous meeting the
FOMC had increased the rate to 3.25 percent. Under the traditional level rule (a partial adjustment
rule based on the level), the FOMC’s choice today
is independent of how the FOMC arrived at 3.25
percent at its last meeting. In contrast, under our
change rule (a partial adjustment rule based on the
change in the rate), the FOMC would also consider
the rate changes that led it to 3.25 percent.

Level and Change Rules

5

ity is that the rule assumes that the Fed is adjusting
the level of the funds rate to the level of the Taylor
rule. Implicit in this way of thinking is that no
change in the funds rate translates to no policy
change. But if the Federal Open Market Committee (FOMC) had been steadily reducing rates by
25 basis points over the past few meetings, keeping
rates constant would probably be viewed by most as
a change in the course of policy. This type of thinking focuses on changes in the funds rate and not
the level of the funds rate.

3/2006

Our change rule expresses the change in the funds
rate as a weighted average of yesterday’s change in
the funds rate and the deviation of yesterday’s funds
rate from a simple Taylor rule, or the “intermediate
target.”

Sources: Federal Reserve Bank of Philadelphia; Bureau of Economic Analysis;
Bureau of Labor Statistics; authors’ calculations.

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

15

Level and Change Rules
Percent
7
6
5
Change rule
4
Effective federal
funds rate

3
2

Level rule

1
0
3/2004

3/2005

3/2006

3/2007

3/2008

Sources: Federal Reserve Bank of Philadelphia; Bureau of Economic Analysis;
Bureau of Labor Statistics; authors’ calculations.

Compared to the level rule, the improvement in
fit with the change rule is substantial: a reduction
of 10 basis points in the residual. This reduction
is sizeable, given that the average rate change is
32 basis points. There is one problem with the
change rule: It often overshoots the actual funds
rate at the end of sustained policy movements. The
change rule is trying to proxy for the idea that the
FOMC does not like to change the course of policy
abruptly. That is, other things equal, the FOMC
would not want to decrease rates if there is a likelihood that it would need to increase rates in the
near future.
Focusing on shorter subperiods highlights some of
the differences between the level and change rules.
The phase shift under the level rule is quite evident,
while this shift is largely eliminated with the change
rule. For example, during the sustained increase in
rates starting in early 2005, the level rule is always
a quarter behind, while the change rule is on target.
There is also the overshooting under the change
rule, overshooting at both the end of 2006, and the
fall of 2008.
These two episodes are almost certainly a manifestation of the fact that the FOMC does not mechanically follow a simple policy rule but responds to
unusual developments in the economy. The 2006
overshooting is likely a reflection of the FOMC’s
desire to limit funds rate increases in the wake of
the substantial change in the behavior of house
prices. As for the fall of 2008, almost certainly the
FOMC moderated the funds rate decline (relative
to the change rule) because of the near proximity of
the zero bound (where the funds rate approached
zero). This moderation may have derived from the
FOMC’s desire to save some policy ammunition
for a later date. A similar argument likely applies
for the change rule’s overshooting in the spring
of 2002. A review of FOMC minutes reveals that
there was discussion of the zero bound at the January 2002 meeting.

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

16

Monetary Policy

Yield Curve and Predicted GDP Growth, August 2012
Covering July 28, 2012–August 23, 2012
by Joseph G. Haubrich and Patricia Waiwood
Overview of the Latest Yield Curve Figures

Highlights
August

July

June

3-month Treasury bill rate
(percent)

0.10

0.10

0.09

10-year Treasury bond rate
(percent)

1.76

1.47

1.64

Yield curve slope
(basis points)

166

137

155

Prediction for GDP growth
(percent)

0.6

0.6

0.7

Probability of recession in
1 year (percent)

8.5

11.7

9.7

Yield Curve Predicted GDP Growth
Percent
Predicted
GDP growth

4
2
0
-2

Ten-year minus three-month
yield spread

-4
-6
2002

2004

2006

2008

GDP growth
(year-over-year
change)

2010

2012

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

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

Over the past month, the yield curve has steepened, as short rates stayed even and long rates took
a jump up. The three-month Treasury bill stayed
at 0.10 percent (for the week ending August 17),
which was even with July’s figure and just above
June’s 0.09. The ten-year rate rose by more than a
quarter point, coming in at1.76 percent, up from
July’s 1.47 percent and from June’s 1.64 percent.
The twist increased the slope to 166 basis points,
above the 137 basis points seen in July and the 155
basis points seen in June.
The steeper slope was not enough to cause an appreciable change in projected future growth, however.
Projecting forward using past values of the spread
and GDP growth suggests that real GDP will grow
at about a 0.6 percent rate over the next year, the
same forecast as in both June and July. 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 did lead to a more optimistic
outlook 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 August is about 8.5 percent, down
from July’s 11.7 percent and June’s 9.7 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.

17

The Yield Curve as a Predictor of Economic
Growth

Recession Probability from Yield Curve
Percent probability, as predicted by a probit model
100
90
80

Probability of recession

70
60

Forecast

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.

Yield Curve Spread and Real GDP
Growth
Percent
10
8
6

GDP growth
(year-over-year change)

4
2
0
-2
-4

10-year minus 3-month
yield spread

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

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
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
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.
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

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

18

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 | September 2012

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
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.

19

Regional Economics

Long-Term Population Changes Within Cities
09.10.2012
by Daniel Hartley
How have population growth and population decline played out within cities over the past 30 years?
Following up on some work on gentrification and
urban decline (here and here) by Veronica Guerierri, Erik Hurst, and me, I look at how the high- and
low-priced neighborhoods of cities that were large
in 1980 have grown and shrunk since then.
To conduct this analysis, I started by assembling the
set of U.S. cities that had a population of 300,000
in 1980. Then I narrowed the set to cities in which
at least 60 percent of the population lived in census
tracts whose boundaries did not change between
1980 and 2000 (or they changed only slightly;
specifically, the area changed by less than 40,000
square meters and the center moved by less than
100 meters). This leaves me with 29 cities.
I then ranked the cities based on the total population growth of these consistently defined neighborhood sets. Growth is calculated using data in
the 1980 Census and the 2005-2009 American
Community Survey. Growth rates range from a 43
percent drop in population in New Orleans to an
increase in population of 30 percent in Phoenix.
Columns 1–10 show population growth rates for
groups of neighborhoods split up by home prices in
1980. Column 1 shows population growth for the
10 percent of neighborhoods that had the lowest
home prices in 1980, column 2 shows population
growth for the 10 percent of neighborhoods that
had the second lowest home prices in each city in
1980, while column 10 shows population growth
for the 10 percent of neighborhoods that had the
highest home prices within each city in 1980.
The first thing that is apparent in the table is that
cities that shank tended to shrink the most in
neighborhoods that had low housing prices in
1980. This pattern holds roughly from New Orleans all the way through Chicago (which shrank
only slightly). In fact, a similar pattern is evident
in Oklahoma City and Charlotte (which grew).
Federal Reserve Bank of Cleveland, Economic Trends | September 2012

20

On the other hand, cities such as San Francisco,
Oakland, New York, and Seattle grew the most
in neighborhoods that had low housing prices in
1980.
These two patterns are broadly consistent with
changes in cities that one might term urban decline
and gentrification. In the urban-decline pattern, as
the population of a city shrinks, the least desirable
neighborhoods are abandoned first. It is important
to stress that this is a net population change, so it
is not necessarily the case that lots of households
leave. It may just be that fewer get replaced, and
thus there is a net population loss. In the gentrification pattern, as growing cities expand, more people,
on net, locate in what were formerly the least desirable neighborhoods. As a result, the population in
those neighborhoods grows the most.

Population Growth and House Prices
Population growth in house price deciles (percent)

City

Population growth

1

2

3

4

5

6

7

8

9

10

New Orleans

–43

–65

–65

–44

–47

–30

–42

–43

–30

–33

–32

Cleveland

–27

–47

–43

–37

–44

–33

–34

–23

–20

–11

–9

Buffalo

–24

–40

–47

–48

–28

–28

–11

–9

–20

–12

–8

St. Louis

–22

–47

–41

–33

–39

–24

–18

–4

–9

–6

–6

Baltimore

–20

–41

–42

–33

–27

–25

–22

–13

–12

4

7

Detroit

–19

–36

–34

–27

–38

–15

–13

–7

–12

–4

1

Newark

–18

–14

–39

–42

1

–19

–18

–3

–29

0

–13

Cincinnati

–16

–2

–40

–16

–25

–27

–11

–17

–1

–1

10

Tulsa

–13

–33

–26

–15

–15

–2

–3

–10

–9

–15

4

Columbus

–12

–40

–35

–10

–18

–17

–10

–15

15

0

14

Kansas City

–11

–32

–36

–20

–26

–24

–15

–5

–5

2

38

Toledo

–11

–36

–41

–17

–13

–11

–8

–6

0

–1

9

Indianapolis

–10

–21

–34

–19

–16

–16

–19

–18

25

9

2

Philadelphia

–10

–34

–24

–14

–16

–16

–19

–18

25

9

2

Washington

–9

–27

–14

–22

–16

–10

–11

–8

6

9

4

Milwaukee

–7

–34

–30

–15

2

–5

4

–3

–1

1

–2

Chicago

–6

–23

–22

–28

–20

–7

–10

5

11

9

5

Oklahoma City

4

–13

–17

–19

1

–1

2

4

8

57

35

Denver

6

7

13

0

4

–5

4

7

–5

1

11

Boston

9

1

8

15

11

1

4

4

7

29

11

Charlotte

11

–40

–18

–33

–7

–4

43

23

40

63

18

Portland

13

1

14

1

6

10

20

3

25

8

56

San Francisco

15

33

33

24

21

14

10

6

4

1

1

Oakland

16

20

23

16

25

15

22

8

14

13

2

New York

17

17

22

22

21

21

15

21

21

11

8

Tuscon

19

0

22

49

3

6

23

14

7

25

10

Seattle

20

24

25

20

19

21

16

20

27

11

14

Atlanta

21

–12

–14

–14

24

–2

–15

1

41

84

93

Phoenix

30

–4

24

54

61

52

24

22

20

26

3

Sources: Census Bureau, 1980 Census and 2005–2009 American Community Survey.

Federal Reserve Bank of Cleveland, Economic Trends | September 2012

21

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