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October 2014 (September 25, 2014-October 9, 2014)

In This Issue:
Banking and Financial Markets
 Banks’ Ability to Generate Income after the Crisis
 Regional Bank Health: Trends in Net Charge-Offs

Inflation and Prices
 Cleveland Fed Estimates of Inflation
Expectations, September 2014
 Global Factors and Domestic Inflation

Monetary Policy
 The Yield Curve and Predicted GDP Growth,
September 2014

Banking and FInancial Markets

Banks’ Ability to Generate Income after the Crisis
10.16.14
by Mahmoud Elamin
Has the financial crisis affected banks’ ability to
generate income? Has it forced them to generate
income in new ways? To answer these questions, we
look at banks’ net income and two components of
net income, net interest income and net noninterest income. We find that although net income has
recovered and is now beyond where it was before
the crisis, the crisis has affected the income-generating capacity of large and small banks differently.

Net Income for Large Banks
Millions of dollars
3.5
3.0
2.5
2.0
1.5
1.0
0.5
0.0
2000

2002

2004

2006

2008

2010

2012

2014

Notes: Data include the top 0.5 percentile banks in total assets. Shaded bars indicate
recessions.
Source: FDIC Call Reports.

Net income (which economists call profit) has
been increasing at banks both large and small since
the end of the crisis. At large banks, net income
had been on an upward trajectory since 2000, but
after the crisis hit, it crashed. Around mid-2009, it
began to recover and has now been higher on average than before the crisis. At small banks, the path
of net income is similar. Before the crisis, it was
slightly increasing, and during the crisis, it dipped
severely. It is currently trending up and is now at a
higher level than before the crisis.

Net Income for Small Banks

Net Noninterest Income for Large Banks

Thousands of dollars

Millions of dollars
0.0

5.0
4.0

-0.5

3.0

-1.0

2.0

-1.5

1.0
-2.0

0.0

-2.5

-1.0
-2.0

-3.0

-3.0
-4.0
2000

2002

2004

2006

2008

2010

2012

2014

Notes: Data include the lower 99.5th percentile banks in total assets. Shaded bars
indicate recessions.
Source: FDIC Call Reports.

Federal Reserve Bank of Cleveland, Economic Trends | October 2014

-3.5
2000

2002

2004

2006

2008

2010

2012

2014

Notes: Data include the top 0.5 percentile banks in total assets. Shaded bars indicate
recessions.
Source: FDIC Call Reports.

2

Net Noninterest Income for Small Banks
Thousands of dollars
0
-1
-2
-3
-4
-5
-6
2000

2002

2004

2006

2008

2010

2012

2014

Notes: Data include the lower 99.5th percentile banks in total assets. Shaded bars
indicate recessions.
Source: FDIC Call Reports.

Net interest income, on the other hand, has followed different trends at large and small banks
since the crisis. Net interest income is roughly what
the bank makes off the difference in interest between what it borrows and what it lends. At large
banks, net interest income has plateaued, while at
small banks, it continues on an upward trend uninterrupted by the crisis.

Net Interest Income for Large Banks
Millions of dollars
8
7
6
5
4
3
2
1
0
2000

2002

2004

2006

2008

2010

2012

Net noninterest income also looks similar at large
and small banks since the crisis. Net noninterest
income is income from banks’ other revenue-generating activities, like trading and fees, minus noninterest costs, like salaries and benefits. Since the
crisis, net noninterest income has transitioned to a
lower level at banks both small and large.

2014

Notes: Data include the top 0.5th percentile banks in total assets. Shaded bars indicate
recessions.
Source: FDIC Call Reports.

Net Interest Income for Small Banks
Thousands of dollars
12
10
8
6

If we sum net interest and noninterest income, we
get a measure of net income that excludes provisions for loan losses and other extraordinary items.
Since banks can smooth out changes in net income
by changing the provisioning for loan losses, this
sum provides a less window-dressed measure of the
ability to generate income. As expected, the crisis
did not have as substantial an effect on this sum as
on net income. It rose before the crisis, experienced
high fluctuations during it, and has levelled off
since then. In terms of levels, large banks are faring
well relative to where they were before the crisis,
but the absence of an upward trend shows a marked
contrast with the experience of smaller banks. At
small banks, the effect of the crisis is transient.
Fluctuations increased around the trend, but the
same upward trend continues after the crisis.

4
2
0
2000

2002

2004

2006

2008

2010

2012

2014

Notes: Data include the lower 99.5th percentile banks in total assets. Shaded bars
indicate recessions.
Source: FDIC Call Reports.

Federal Reserve Bank of Cleveland, Economic Trends | October 2014

3

From these upward trends in the sum of net interest and noninterest income, we deduce that the
crisis did not have a material effect on the incomegenerating process of small banks, the decrease in
net noninterest income notwithstanding. Large
bank’s income generation, however, seems to have
stalled. Most of the action we see in net income is
missing from the sum of net interest and noninterest income. This shows that transient changes
in provisioning for loan losses may be the driver
behind the net income increase at large banks.

Sum of Net Interest and Noninterest
Income for Large Banks
Millions of dollars
6
5
4
3
2
1
0
2000

2002

2004

2006

2008

2010

2012

2014

Notes: Data include the top 0.5th percentile banks in total assets. Shaded bars
indicate recessions.
Source: FDIC Call Reports.

Sum of Net Interest and Noninterest
Income for Small Banks
Thousands of dollars
7
6
5
4
3
2
1
0
2000

2002

2004

2006

2008

2010

2012

2014

Notes: Data include the lover 99.5th percentile banks in total assets. Shaded bars
indicate recessions.
Source: FDIC Call Reports.

Federal Reserve Bank of Cleveland, Economic Trends | October 2014

4

Banking and Financial Markets

Regional Bank Health: Trends in Net Charge-Offs
10.14.14
by Vinod Venkiteshwaran and Patricia Waiwood
According to a survey by the American Bankers
Association, regional banking organizations (RBOs)
operate in all 50 states, and in 2012 they were
responsible for more than $1.7 trillion in lending
to the communities in which they operated. RBOs
not only generate a large amount of loans, lending
also constitutes a significant segment of the RBOs’
balance sheets—net loans and leases constitute over
half of their total assets, according to a recent article
in the Quarterly Journal of the Clearinghouse.org.
Even though no one regional bank is likely to be so
large as to be systemically important—RBOs are
generally considered to be bank holding companies
with between $10 billion and $50 billion in assets—their collective impact on the US economy
could be substantial.

Net Charge-Offs as a Percent
of Loans and Leases
0.25

0.20

0.15

0.10

0.05

0.00
3/2012

9/2012

3/2013

9/2013

Source: SNL Financial.

3/2014

For this reason, we want to assess the health of
RBOs’ loan portfolios by analyzing their net
charge-off behavior over the past two years. Net
charge-offs are the difference between loans that
have been deemed uncollectable and written off the
bank’s balance sheet—charge-offs—and any subsequent recovery of those loans. Net charge-offs are
often used by researchers as a proxy for bank risk
because they tend to increase with riskier lending
activities. We use quarterly data from SNL Financial to analyze regional banks’ net charge-offs over
the past two years.
Net Charge-Offs as a Percentage of Total Loans
and Leases
As a percent of total loans and leases, total net
charge-offs have fallen from about 0.20 percent in
the first quarter of 2012 to about 0.10 percent in
the first quarter of 2014. In other words, the banks
in our sample have been writing off increasingly
smaller fractions of outstanding loans over the past
couple of years. This is good news. This trend could
result from either declining charge-offs or from
increased recovery rates on previous charge-offs. A
closer look at charge-offs and recoveries suggests a
decline in charge-offs is more likely.

Federal Reserve Bank of Cleveland, Economic Trends | October 2014

5

Charge-offs fell from $1.4 billion to about $800
million over the couple of years before 2014, which
equals a decline from about 0.25 percent of total loans to about 0.10 percent. During the same
period, recoveries hovered between $200 million
and $400 million, or, as a percent of total loans,
between 0.05 percent and 0.03 percent.
Decomposing Net Charge-Offs across Business
Lines

Charge-Offs and Recoveries
Thousands of dollars
1,800,000
1,600,000
1,400,000
1,200,000
1,000,000

Total
charge offs

800,000
600,000
400,000

Total
recoveries

200,000
0
3/2012

9/2012

3/2013

9/2013

3/2014

Source: SNL Financial.

Charge-Offs and Recoveries
as a Percent of Loans and Leases
0.30
0.25
0.20
0.15

Total
charge offs

0.10

Total
recoveries

0.05
0.00
3/2012

9/2012

3/2013

9/2013

3/2014

Source: SNL Financial.

Now that we’ve drawn the big picture, let’s take a
closer look at the composition of net charge-offs
across different business lines to see which, if any,
loan type is driving the overall trend. We examine
five broad business lines: real estate loans, agricultural production loans, commercial and industrial
(C&I) loans, consumer loans, and all other loans.
In the context of this discussion, we should mention that banks follow different criteria when writing off different types of delinquent loans. In the
case of consumer loans, banks generally follow a
uniform charge-off policy set by the banks’ regulators: open-end credit (such as a home equity line of
credit) is written off at 180 days delinquency, and
closed-end credit (such as an auto loan) is written
off at 120 days delinquency. The criteria for other
loans, such as C&I loans, are less stringent and
more subject to standards that the bank’s management sets.
The two loan categories that comprise the largest
shares of total net charge-offs are consumer loans
and real estate loans. In the most recent quarter for
which we have data (2014:Q1), each of these categories comprised about 39 percent of net chargeoffs, while C&I loans were at a distant third, with
19 percent. Net charge-offs of consumer loans have
gained a greater share of total net charge-offs since
2012, while real estate’s share has fallen by almost
half. This is consistent with the expectation that
charge-offs tend to follow growth in the bank’s loan
portfolios. That is, changes in the dollar value of
charge-offs is typically proportional to the growth
in the loan portfolios. In recent years, RBOs have
experienced higher growth rates in their consumer
lending than in their real estate lending.
Since the composition of net charge-offs tends to

Federal Reserve Bank of Cleveland, Economic Trends | October 2014

6

Composition of Net Charge-Offs
Percent
100
95
90
85
80
75
70
65
60
55
50
45
40
35
3/2012

All other loans
Consumer
Commerical and industrial
Agricultural production
Real estate

9/2012

3/2013

9/2013

vary over time, we construct a quarterly charge-off
concentration index akin to those used to measure
market concentration. The index can be used to
quickly assess concentrations of charge-offs across
loan categories. We compute this concentration
index as the sum of the squared share of each loan
category’s net charge-offs in each quarter. Concentration indices are typically bounded between 0 and
1, and higher values would indicate, in the present
case, that charge-offs are being driven by a particular loan type. To illustrate the interpretation, two
extreme examples of the calculation we made are
provided below.
Our concentration index has been declining since
2012. From this, we can conclude that net chargeoffs have become more dispersed across loan categories and that no one loan business line is driving
the overall trend.

3/2014

Source: SNL Financial.

Regional Differences in Net Charge-Offs

Net Charge-Offs Are Highly Concentrated
Loan category

Share of net
charge-offs

Share of net
charge-offs (squared)

Real estate loans

1

1

Consumer loans

0

0

C&I loans

0

0

Agricultural production loans

0

0

Other loans

0

0

Total

1

Net Charge-Offs Are Evenly Distributed
Loan category

Share of net
charge-offs

Share of net
charge-offs (squared)

Real estate loans

0.20

0.04

Consumer loans

0.20

0.04

C&I loans

0.20

0.04

Agricultural production loans

0.20

0.04

Other loans

0.20

0.04

Total

0.20

Federal Reserve Bank of Cleveland, Economic Trends | October 2014

Next we compare the composition of net chargeoffs and loan portfolios across a few Federal Reserve
Districts: New York, Richmond, Kansas City, and
Cleveland. These four districts (along with Minneapolis, which we don’t include because it has only
one regional bank) had the highest average ratios of
net charge-offs to total loans of the 12 districts, as
of 2014:Q1. New York had the largest number of
regional banks in its jurisdiction (10 RBOs) at the
time, Richmond had three, Kansas City five, and
Cleveland three.
The comparison of charge-offs and loan composi
tion data is consistent with the expectation that
charge-offs and loan growth tend to move in tandem (though we acknowledge that we are looking
at only a single point in time). For example, in the
case of RBOs in the Cleveland and Richmond Districts, real estate loans comprise a majority of the
lending portfolio, 74 percent and 86 percent, respectively, and consistent with this, the charge-offs
on real estate loans are indeed larger compared to
other loan categories in these districts, 60 percent
and 86 percent, respectively. The pattern of chargeoffs at RBOs in the New York and Kansas City Districts is somewhat consistent with this expectation.
While real estate loans do comprise a larger share of
the lending portfolio at these banks, it appears that
7

the charge-offs on consumer loans are greater than
that of real estate loans. In general, these patterns in
charge-offs appear to be similar to those of recent
quarters, according to transcripts of the earnings
conference calls of some of the RBOs (the two
publicly traded RBOs in the Cleveland District and
two of the largest publicly traded RBOs in the New
York District).

Concentration Index
0.6
0.5
0.4
0.3
0.2
0.1
0
3/2012

9/2012

3/2013

9/2013

3/2014

Source: SNL Financial.

Aggregate Ratio of Net Charge-Offs
to Loan Balances by Loan Category,
2014:Q1
District

Real Estate

C&I

Consumer

All Other

Cleveland

0.22

0.08

0.44

0.14

Kansas City

0.07

0.22

2.23

0.33

New York

0.68

4.28

3.22

0.08

Richmond

0.75

0.35

1.07

0.02

Source: SNL Financial.

Federal Reserve Bank of Cleveland, Economic Trends | October 2014

The table below shows the aggregated ratio of net
charge-offs to loan balances by loan category in
each of the four districts (excluding agricultural
production loans, which comprise a very small
proportion of total loans). The ratios in the four
districts are in line with the aggregate trends discussed earlier. At the RBOs in these districts,
charge-offs are higher for consumer loans than the
other types of loans. In addition, the banks in the
New York District are charging off proportionally
greater amounts in their C&I portfolio compared
to the other districts.
Our analysis has shown that regional banks have
been writing off increasingly smaller amounts of
loans over the past couple of years, and that these
net charge-offs have become less concentrated in
particular loan categories. By this one measure, at
least, the evidence suggests that regional bank loan
portfolios may have become less risky.

8

Inflation and Prices

Cleveland Fed Estimates of Inflation Expectations, September 2014
News Release: September 17, 2014
The latest estimate of 10-year expected inflation
is 1.89 percent, according to the Federal Reserve
Bank of Cleveland. In other words, the public currently expects the inflation rate to be less than 2
percent on average over the next decade.

Ten-Year Expected Inflation and
Real and Nominal Risk Premia
Percent
7
6

The Cleveland Fed’s estimate of inflation expectations is based on a model that combines information from a number of sources to address the
shortcomings of other, commonly used measures,
such as the “break-even” rate derived from Treasury
inflation protected securities (TIPS) or surveybased estimates. The Cleveland Fed model can
produce estimates for many time horizons, and it
isolates not only inflation expectations, but several
other interesting variables, such as the real interest
rate and the inflation risk premium.

5
Expected inflation
4
3
2
Inflation risk premium

1
0
1982

1986

1990

1994

1998

2002

2006

2010

2014

Source: Haubrich, Pennacchi, Ritchken (2012).

Expected Inflation Yield Curve

Real Interest Rate

Percent

Percent

2.5

September 2014
August 2014
September 2013

12
2.0

10
8

1.5

6
1.0

4
2

0.5

0
0.0

-2

1 2 3 4 5 6 7 8 9 10 12

-4
-6
1982

15

20

25

30

Horizon (years)

1986

1990

1994

1998

2002

2006

2010

2014

Source: Haubrich, Pennacchi, Ritchken (2012).

Source: Haubrich, Pennacchi, Ritchken (2012).

Federal Reserve Bank of Cleveland, Economic Trends | October 2014

9

Inflation and Prices

Global Factors and Domestic Inflation
09.25.14
by William Bednar and Edward S. Knotek II
US inflation moved up this spring after subdued
readings in late 2013 and at the start of 2014. Measured on a year-over-year basis, inflation was stable
near 1.6 percent from April through July according
to the price index for personal consumption expenditures (PCE). As is normally the case, inflation
measured by the consumer price index (CPI) was
somewhat higher, averaging 2 percent during that
time, though it too was relatively stable.

Inflation Measures
Year-over-year percent change
2.5

2.0
CPI
PCE price
index

1.5

1.0

0.5
1/2013

7/2013

1/2014

7/2014

Sources: Bureau of Economic Analysis, Bureau of Labor Statistics.

Inflation Measures
Year-over-year percent change

The August CPI report broke this stable trend. The
CPI declined 0.2 percent on the month, pulling
the year-over-year CPI inflation rate down to 1.7
percent. While food inflation slowed during the
month and gasoline prices fell, the bigger surprise
was in the core CPI measure, which excludes food
and energy prices. The core CPI was essentially
unchanged in August, its weakest monthly reading
since January 2010, which pulled the year-over-year
core CPI inflation rate down to 1.7 percent as well.
The Cleveland Fed’s median CPI tends to be more
stable than either CPI or core CPI inflation, but it
also edged lower in August.

2.5
Median CPI
2.0
Core CPI
CPI
1.5

1.0

0.5
1/2013

7/2013

1/2014

7/2014

Inflation is clearly volatile from one month to the
next, so it is not necessarily a good idea to put too
much weight onto a single month’s readings. And
the Federal Open Market Committee, in its most
recent Summary of Economic Projections, continues to expect that inflation will gradually rise over
the next few years. But the persistently low inflation
rates through much of the last year and a half suggest that inflation continues to be weighed down by
a variety of forces, even as the recovery in the US
economy progresses.

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

One potential factor that could be weighing on
domestic inflation—and which might serve as
a headwind to future increases in inflation—is
recent international developments. For example,
the economic recovery in the euro zone has been
unsteady. Growth stalled in the second quarter,

Federal Reserve Bank of Cleveland, Economic Trends | October 2014

10

Nominal Broad Trade-Weighted Dollar Index
Index, 1/1997=100
120
115
110
105
100
95
90
2007

2008

2009

2010

2011

2012

2013

2014

Source: Board of Governors of the Federal Reserve System.

The Dollar and Import Prices
Year-over-year percent change

Nominal broad
trade-weighted
dollar index

10
5
0
-5
-10

Nonpetroleum import
prices

-15
-20
1990

1994

1998

2002

2006

How might international developments such as
these affect US domestic inflation? One potential
channel is through lower import price inflation. A
stronger US economy relative to other economies
may result in a stronger dollar, which could make
imports less expensive and put downward pressure on US inflation. Faced with weak demand at
home, foreign companies may decide to reduce the
prices of goods they sell to the US. The prices of
commodities traded on global exchanges—many of
which are priced in dollars—could also soften. The
dollar has generally been strengthening since the
European debt crisis first erupted in 2011, and it
is up sharply over the last few months. The financial press has described the potential for further
strengthening in the dollar if monetary policies
diverge between the US and foreign economies.
While there is some evidence to support this passthrough channel, it is generally not very strong.
The first requirement for such a channel is a link
between the dollar and import prices, and this link
does seem to exist. Since 1990, increases in the dollar have tended to coincide with declines in nonpetroleum import prices; the correlation is about
−0.5. The relationship has been about the same
over the last five years or so. So a strengthening dollar could be a force weighing on import prices.

20
15

and year-over-year inflation through August came
in at 0.4 percent, well below the European Central
Bank’s (ECB) objective. As a result of these developments and a worsening medium-term inflation
outlook (including declines in measures of inflation
expectations), the ECB recently implemented a
more accommodative monetary policy. In addition,
Japan’s economy is working through the effects of a
3 percentage point increase in the value-added tax
rate in April.

2010

2014

Sources: Board of Governors of the Federal Reserve System, Bureau of Labor
Statistics.

Federal Reserve Bank of Cleveland, Economic Trends | October 2014

The second part of the equation is whether those
declines in import prices pass through to the prices
that consumers actually pay. We would expect to
see a bigger impact from import prices on goods
prices than services prices, because goods may have
more imported content or be subject to more intense international competition. Since 1990, it has
been the case that declines in nonpetroleum import
prices have coincided with declines in core goods
11

Imports and Core Goods Prices
Year-over-year percent change

Year-over-year percent change

4.0

20

3.0

15
Nonpetroleum import
prices (right axis)

2.0

10

1.0

5

0.0

0

-1.0
-2.0

-5

PCE core goods
price index
(left axis)

-10
-15

-3.0
-4.0
1990

-20
1994

1998

2002

2006

2010

2014

Sources: Board of Governors of the Federal Reserve System, Bureau of Economic
Analysis, Bureau of Labor Statistics.

Global and Domestic Inflation Trends
Percent
7.0
6.0
5.0
4.0

prices, but the relationship is weak—the correlation
is only 0.2. In fact, over the last five years, the two
series have shown little common movement.
While pass-through channels may not be very
strong, is it possible that global inflation trends may
still provide some useful signal for the US? Perhaps
surprisingly, the answer appears to be “yes.” Our inflation conference earlier this year featured a paper
suggesting that global inflation is a useful predictor
of US inflation, despite weak measurable passthrough. Since 1984, the global inflation trend has
actually done a bit better at predicting one-yearahead inflation than the long-run inflation forecast
from the Survey of Professional Forecasters (SPF),
which is a typical measure of trend inflation. Since
early 2013, this global inflation measure—mapped
into US PCE inflation—has been running at only
about a 1.5 percent level, a rather prescient forecast!
To the extent that this global inflation trend continues to be a useful predictor of future domestic
inflation, its ongoing low readings compared with
the SPF’s long-run forecasts of 2 percent point to
the potential for additional subdued US inflation
ahead.

SPF long-run
inflation forecast
One-year ahead
PCE inflation
Global inflation
trend, applied to US

3.0
2.0
1.0
0.0
-1.0
-2.0
1984

1988

1992

1996

2000

2004

2008

2012

Sources: Bureau of Economic Analysis, Federal Reserve Bank of Cleveland (global inflation trend), and
Federal Reserve Bank of Philadelphia (SPF).

Federal Reserve Bank of Cleveland, Economic Trends | October 2014

12

Monetary Policy

Yield Curve and Predicted GDP Growth, September 2014
Covering August 23, 2014–September 19, 2014
by Joseph G. Haubrich and Sara Millington
Overview of the Latest Yield Curve Figures

Highlights
September

August

July

Three-month Treasury bill rate (percent)

0.02

0.03

0.03

Ten-year Treasury bond rate (percent)

2.61

2.41

2.49

Yield curve slope (basis points)

259

238

246

Prediction for GDP growth (percent)

1.5

1.5

1.5

Probability of recession in one year (percent)

1.99

2.76

2.46

Sources: Board of Governors of the Federal Reserve System; authors’ calculations.

Yield Curve Predicted GDP Growth
Percent
Predicted
GDP growth

4
2
0
-2

Ten-year minus three-month
yield spread

GDP growth
(year-over-year)

-4
-6
2002

2004

2006

2008

2010

2012

2014

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

Federal Reserve Bank of Cleveland, Economic Trends | October 2014

Since last month, the yield curve shifted sharply,
steepening with long rates rising while the short
end stayed (nearly) constant. The three-month
(constant maturity) Treasury bill rate edged down
to 0.02 percent (for the week ending September
19) from July’s and August’s levels of 0.03 percent.
The ten-year rate (also constant maturity) increased
to 2.61 percent, up a full 20 basis points from
August’s 2.41 percent, nearly recovering previous
drops from June’s 2.63 percent. The slope increased
to 259 basis points, up from August’s 241 basis
points, and only 1 basis point below June’s 260
basis points.
The steeper slope did not have an appreciable
change on predicted future growth, even using the
revised third estimate, which pushed the estimated
growth from real GDP in the second quarter up
to 4.6 percent from the previous estimate of 4.2
percent (both annualized). Projecting forward using
past values of the spread and GDP growth suggests
that real GDP will grow at about a 1.5 percentage rate over the next year, even with the forecasts
from July and August (and just up from the 1.4
percent forecast in June). The influence of the past
recession continues to push towards relatively low
growth rates. Although the time horizons do not
match exactly, the forecast comes in slightly more
pessimistic than some other predictions, but like
them, it does show moderate growth for the year.
The steeper slope dropped the probability of a
recession below 2 percent. Using the yield curve to
predict whether or not the economy will be in a recession in the future, we estimate that the expected
chance of the economy being in a recession next
September at 1.99 percent, down from the August
number of 2.76 percent, below July’s 2.46 percent,
and returning to the level last seen in June. So although our approach is somewhat pessimistic with
regard to the level of growth over the next year, it is
quite optimistic about the recovery continuing.
13

The Yield Curve as a Predictor of Economic
Growth

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

80
70
60

Forecast

50
40
30
20
10
0
1960 1966 1972 1978 1984 1990 1996 2002 2008

2014

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

Yield Curve Spread and Real GDP Growth

10
GDP growth
(year-over-year change)

6

Predicting GDP Growth

Predicting the Probability of Recession

4
2
0
10-year minus
three-month yield spread

-2
-4
-6
1953

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.

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.

Percent

8

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.

1965

1977

1989

2001

2013

Note: Shaded bars indicate recessions.
Source: Bureau of Economic Analysis, Board of Governors of the Federal Reserve
System.

Federal Reserve Bank of Cleveland, Economic Trends | October 2014

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 materi14

Yield Spread and Lagged Real GDP
Growth
Percent
10
One-year lag of GDP growth
(year-over-year change)

8
6
4
2
0

Ten-year minus
three-month yield spread

-2
-4
-6
1953

N

Sh d d b

1965

i di

1977

1989

2001

ally 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

2013

i

Federal Reserve Bank of Cleveland, Economic Trends | October 2014

15

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16