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February 2014 (January 21, 2014-February 11, 2014)

In This Issue:
Growth and Production

Labor Markets, Unemployment, and Wages

 Private Fixed Investment’s Recovery: Not So Bad
After All
 The Ups and Downs of Inventory Investment

 Is a Neighborhood’s Unemployment Rate
Influenced by Its Metro Area?

Households and Consumers

 The Yield Curve and Predicted GDP Growth,
January 2014

 Consumer Spending Reflects New Priorities after
the Recession

Inflation and Prices
 Cleveland Fed Estimates of Inflation
Expectations

Monetary Policy

Growth and Production

Private Fixed Investment’s Recovery: Not So Bad After All
02.05.14
by Daniel Carroll

Private Fixed Investment and GDP
Percentage points
0.22
Current view
0.20
0.18
0.16
0.14
2012 view

A little over a year ago in these pages we documented the sluggish recovery of private fixed investment
since the end of the recession. Up to that point,
investment was not rebounding relative to GDP
as quickly as it typically does during recoveries,
and residential investment seemed to be the key
factor holding the total down. But over the past
13 months new data has been released and a new
component has been added to GDP—intellectual
property—and both of these developments have
changed our view of investment in the recovery.
This article reexamines the path of private fixed
investment and its relationship to GDP over the
business cycle, taking these new developments into
account.

0.12
0.10
1952 1957 1962 1967 1972 1977 1982 1987 1992 1997 2002 2007 2012

Sources: Bureau of Economic Analysis, Haver Analytics.

Real Residential Fixed Investment
Percent change, year-over-year
30
Current view
20
10
0
2012 view
-10
-20
-30
-40
1991:Q1 1994:Q1 1997:Q1 2000:Q1 2003:Q1 2006:Q1 2009:Q1 2012:Q1
1992:Q3 1995:Q3 1998:Q3 2001:Q3 2004:Q3 2007:Q3 2010:Q3 2013:Q3
Sources: Bureau of Economic Analysis, Haver Analytics.

Back in November 2012, private fixed investment
appeared to have stalled. In particular, the usual
V-shaped response characteristic of the series in
previous recoveries had not materialized. Including current data changes the picture. The V-shape
appears, although there is still a long way to go to
complete the pattern. Overall, private fixed investment now appears to have been recovering faster
than GDP since 2010:Q4.
Meanwhile, the new data show that residential
investment rose substantially in 2013. Year-overyear growth by quarter exploded, hitting 20 percent
for the first time since 2004:Q2. The sustained,
positive pattern over 2013 was a welcome sight
after five years of mostly negative growth. The rise
in residential investment elevated total fixed investment, compensating for weaker growth in nonresidential investment. Back in November 2012,
nonresidential investment had been growing by
double digits each quarter (year-over-year) from
2011:Q3 to 2012:Q2, and it appeared likely to
continue, bolstering investment in the future. Since
then, however, it has averaged just 4.9 percent.
In addition to new data, a change in the way nonresidential investment is measured has altered the

Federal Reserve Bank of Cleveland, Economic Trends | February 2014

2

picture considerably. During 2013, the Bureau of
Economic Analysis added intellectual property to
nonresidential fixed investment and adjusted the
series all the way back to the beginning of the data.
This change increased nonresidential investment by
between 7 percent and 24 percent. It also resulted
in a small rise in measured GDP, but because GDP
is much larger than nonresidential investment the
percentage increase was much smaller (between 2
percent and 4 percent). As a consequence, fixed investment as a fraction of GDP from 1950 to 2012
rose from 15.3 percent to 16.7 percent.

Real Nonresidential Fixed Investment
Percentage change (year-over-year)
15
Current view
10
5
0
-5
2012 view

-10
-15
-20
-25
-30
1992

1995

1998

2001

2004

2007

2010

2013

Sources: Bureau of Economic Analysis, Haver Analytics.

Correlation between Private-FixedInvestment Components and GDP
Correlation
1.0
Total
0.8
Nonresidential
0.6

Residential

0.4
0.2

While the addition of intellectual property as a
component of nonresidential fixed investment
made a considerable impact on the size of investment relative to GDP, it had little effect on its business cycle properties. The correlation between fixed
investment and GDP over the business cycle was
reduced only slightly. This is due to the business
cycle properties of intellectual property. While it
shares the same qualitative pattern as nonresidential
investment, it generally has a smaller quantitative
relationship. As a result, the addition of intellectual
property weakens the correlations of nonresidential
fixed investment and total fixed investment with
GDP only slightly.

Intellectual property

0
-0.2
-0.4
-0.6
-6

-5

-4

-3

-2

-1

0

+1

+2

+3

+4

+5

+6

Quarters from when GDP is measured
Sources: Bureau of Economic Analysis, Haver Analytics.

Federal Reserve Bank of Cleveland, Economic Trends | February 2014

3

Growth and Production

The Ups and Downs of Inventory Investment
02.11.14
by Pedro Amaral and Margaret Jacobson
Real GDP grew at an annualized rate of 3.2 percent
in the fourth quarter of 2013, according to the
BEA’s advance estimate. Since growth in the third
quarter was 4.1 percent, it looks like the US economy finished the year growing at a very healthy
pace. Unfortunately the same cannot be said for the
early part of 2013, and overall, real GDP growth
for 2013 was just 1.9 percent, which is significantly
below the 2.8 percent logged in 2012.
The fourth-quarter increase was mainly due to
growth in personal consumption expenditures,
which, along with net exports, registered their largest contribution to GDP growth since the fourth
quarter of 2010. On the negative side, federal government expenditures, which dropped by 1 percent
on the quarter, were the main drag on real GDP
growth.
Recently, investment in inventories, as measured by
a statistic called the change in private inventories
(CIPI), has been strong. It accounted for almost
30 percent of GDP growth over the second half
of 2013. An oft-overlooked component of GDP,
CIPI is extremely volatile and can account for large
fractions of changes in real GDP. CIPI is a measure
of the value of the change in the real amount of
inventories that the private business sector keeps
in the course of its production and distribution
activities. These inventories might be in the form of
finished goods, goods in process, or raw materials
and supplies. This variety means they are maintained by all sorts of businesses at different parts of
the production chain, be it manufacturers, wholesalers or retailers.
Different forces may affect the inventory levels of
different types of businesses. To decide the optimal
level of inventory of a particular good, a business
will consider the fixed cost of obtaining the good,
the cost of storing it, and either the expected utilization rate in production (if it’s an intermediate
good) or the future demand (if it’s a final good).
Federal Reserve Bank of Cleveland, Economic Trends | February 2014

4

Inventory-to-Sales Ratio
Ratio
6.0
5.5
5.0
4.5
4.0
3.5
3.0
2.5
2.0
1947 1954 1961 1968 1975 1982 1989 1996 2003 2010

Notes: Inventories are for nonfarm businesses. Sales are final sales of goods and
structures. Shaded bars indicate recessions.
Source: Bureau of Economic Analysis

Cumulative Contribution of Change
in Private Inventories to GDP Growth
Percent contribution
0.9
0.8
0.7
0.6
2007 recovery

0.5
Other long
recoveries

0.4
0.3
0.2
0.1
0.0
3

4

5

6

7

8

9 10 11 12 13 14 15 16 17 18 19
Quarters from trough

Note: Other recoveries include those following the 1960, 1973, 1981, 1990, and 2001
recessions.
Sources: Bureau of Economic Analysis, authors’ calculations.

Federal Reserve Bank of Cleveland, Economic Trends | February 2014

Economists pay attention to total inventories as a
proportion of total sales as a way to gauge whether
businesses are keeping too much or too little in
their inventories. Net additions may mean that
businesses expect a stronger future demand, or simply that inventories have been depleted too much
and the current level is not optimal. The Bureau of
Economic Analysis computes the ratio of the stock
of all inventories kept by private businesses to that
of total sales, the resulting number being a measure of the number of months it would take to go
through the accumulated inventories.
During the most recent recession the inventory-tosales ratio took a big hit, as businesses slowed production and started going through their inventories
at a faster rate than sales decreased. As the recovery
started, most of the growth in real GDP was fueled
by advances in CIPI. As fast as growth in CIPI has
been in the second half of 2013, it was much faster
at the start of the recovery. Three quarters into the
recovery, CIPI was accounting for nearly 85 percent
of GDP growth. Its contribution has since declined
and settled at about 20 percent of real GDP growth
for the 18-quarter recovery as a whole. This is an
extraordinarily high figure given that in the average
18-quarter recovery CIPI has only accounted for
roughly 7 percent of GDP growth and it normally
constitutes less than 1 percent.
How can a component this small account for so
much GDP growth? What is crucial to note is that
because GDP is a flow, it is the change in inventories (CIPI) that contributes to GDP, not the stock
of inventories itself. Therefore it is the change in
CIPI (the change in the change of inventories) that
contributes to GDP growth. The following example
illustrates how these changes, while small in the
context of overall GDP, can be quite volatile and
contribute substantially to GDP growth.
Suppose that inventories last quarter dropped by
half a percent of last quarter’s GDP, meaning that
CIPI was −0.5 percent of GDP, and that this quarter inventories do not change at all, meaning that
CIPI is zero this quarter. Also, suppose that overall
GDP growth was 1.5 percent from the last to the
current quarter. In this purposely simplistic case—
but entirely plausible in its magnitudes—CIPI
5

A Simplified Illustration of the Impact
of CIPI
on GDP Growth
Quarter 1

Quarter 2

Change

GDP

100

101.5

1.5

CIPI

0.5

0.0

0.5

−100.5

101.5

1.0

Other GDP components

growth is positive and it accounts for a third of the
growth in GDP even though the stock of inventories did not change this quarter!
If CIPI is contributing so much above its typical
contribution, which GDP categories have not been
proportionately contributing as much in this recovery compared to previous ones? While government
spending growth was responsible for 10 percent of
GDP growth on average in recoveries that lasted at
least as long as the current one, it has actually been
a drag on growth in the current one.

Cumulative Contribution of GDP Components
Note, finally, that these observations are not a
18 Quarters after Business Cycle Trough
Percent
0.7
2007 recovery

0.6

Other long recoveries

0.5
0.4
0.3

statement about whether CIPI, or any other GDP
component for that matter, is growing faster or
slower in this recovery. We are only commenting on
each category’s relative contribution to overall GDP
growth, and in that regard CIPI seems to be the
most improved.

0.2
0.1
0
-0.1
-0.2
Consumption

Residential
investment

Business
fixed investment

Change in
inventories

Net
exports

Government
spending

Note: Other recoveries include those following the 1960, 1973, 1981, 1990, and 2001
recessions.
Sources: Bureau of Economic Analysis, authors’ calculations.

Federal Reserve Bank of Cleveland, Economic Trends | February 2014

6

Households and Consumers

Consumer Spending Reflects New Priorities after the Recession
02.05.14
by LaVaughn Henry
Accounting for approximately 70 percent of the
nation’s GDP, personal consumption expenditures
represent the backbone of the American economy.
During the current economic recovery, personal
consumption has continued to expand despite
modest and erratic income growth, high unemployment, higher taxes, and higher energy and food
prices. Factors contributing to the consumer’s resiliency are many, with strong financial asset market
performance, recently improving housing market
conditions, and a slowly improving labor market all
working to support growth in personal consumption.

Growth in Disposable Personal Income
and Consumption Expenditures
Annual rate (percent)
10.0

Disposable Personal Income

Personal Consumption
Expenditures

8.0
6.0
4.0
2.0
0.0
-2.0
-4.0

Q1

Q1

Q1

Q1

Q1

Q1

Q1

Q1

Q1

Q1

Q1

Q1

Q1

2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013

Note: Shaded bars indicate recessions.
Source: Bureau of Economic Analysis.

At the end of the recession, personal consumption
expenditures resumed growing at a positive average annual rate of 3.8 percent. Between the end of
the prior recession and the beginning of the recent
recession, it averaged 5.3 percent. During both
recovery periods, disposable personal income grew
at relatively slower rates, 3.3 percent and 5.1 percent, respectively. Additionally, the current recovery
period has been characterized by slower growth in
household asset values than in previous recoveries,
and until recently, muted growth in house prices.
However, despite consumers being somewhat
constrained in their ability to draw from expanding
income and wealth sources during the recovery, the
growth in their consumption remains stronger than
one might expect.
Since household asset values resumed their growth
during the third quarter of 2009, they have increased an average of 5.5 percent through the
third quarter of 2013. This compares unfavorably
to the average annual growth rate of 8.4 percent
experienced between the first quarters of 2002 and
2008. Much of the recovery that has occurred can
be attributed to continued growth in equity prices.
For example, since the end of the financial crisis
of 2008-2009, equities have more than doubled in
value. However, while this has benefitted the consumption of some households, it has not done

Federal Reserve Bank of Cleveland, Economic Trends | February 2014

7

so for the majority. By the end of 2010, only 20.4
percent of households held stocks or mutual fund
shares as an asset class in their portfolio, and this
was down from the 25.1 percent that held equity
shares in 2005.

Growth in Household Asset Values
Annual growth rate (percent)
20.0
15.0
10.0
5.0
0.0
-5.0
-10.0
-15.0
1/2002 9/2003 5/2005 1/2007 9/2008 5/2010 1/2012

Note: Shaded bar indicates a recession.
Source: Board of Governors of the Federal Reserve System.

Asset Ownership Rates for Households,
by Selected Characteristics
Percent
80

1995
2000
2005
2010

70
60
50
40
30
20
10
0
Interest-earning Stocks
Homeowners’ IRA and
assets at
and
equity
Keogh
financial mutual funds
accounts
institutions
shares

401(k) and
thrift savings
plans

Source: Survey of Income and Program Participation, US Bureau of the Census.

Federal Reserve Bank of Cleveland, Economic Trends | February 2014

By comparison, the average American household is
much more likely to have equity in their home than
they are to own stocks. At the end of 2010, 65.9
percent of households had equity in their homes,
with a median value of $80,000, as compared
to the 20.4 percent holding equity shares with a
median value of $18,300. Thus, the average household’s consumption is much more likely to respond
to growth in house prices, which would increase
the value of their equity, than they are to growth
in stock prices. Unfortunately, home prices did not
begin to appreciate until fairly late in the recovery,
and the ability of homeowners to access the equity
in their homes through equity borrowing has been
much reduced relative to pre-recession levels.
While improvements in the values of both asset
classes have, to differing degrees, helped to support growth in personal consumption expenditures,
there have also been shifts in the composition of
the average household’s asset portfolio that have
likely worked to slow growth in consumption.
Most notably, consumers have been using their
income to partially pay down debts built up before the recession while at the same time they have
also been saving more in relatively illiquid savings
accounts such as 401ks and IRAs. On net, as they
have saved more, growth in their current consumption is below what it otherwise would have been.
As personal consumption has recovered, there have
also been shifts in the types of things that households are consuming. Most notably, the consumption of durable goods has picked up at a relatively
faster rate than either nondurables or services. Prior
to the recession, durable goods consumption grew
3.8 percent a year on average, but since the end of
the recession it has grown 4.7 percent. The durable
category showing the greatest strength is motor
vehicles and parts, which increased from an average
annual growth rate of 3.8 percent before the recession to 7.7 percent after. This growth is the joint result of pent-up demand for new autos—the average
8

Compositional Trends in Personal
Consumption Expenditures
Annual growth rate (percent)
15.0
10.0

Nondurable goods

age of cars on the road has increased to 11.4 years
from a pre-recession average of 9.2 years—and
continued historically low interest rates on new and
used auto loans. By way of comparison, households’
consumption of services grew 5.6 percent a year
on average before the recession and declined to 3.2
percent during the recovery period.

5.0
Services

0.0
Durable goods
-5.0
-10.0
-15.0
-20.0

Q1 Q1 Q1 Q1 Q1 Q1 Q1 Q1 Q1 Q1 Q1 Q1 Q1
2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013

Note: Shaded bars indicate recessions.
Source: Bureau of Economic Analysis.

The average American household is facing a very
different landscape than it was prior the Great
Recession of 2008-2009. Fiscal restraint and uncertainty, slowly declining yet still-elevated rates
of unemployment, modest growth in disposable
personal income, and modest growth in household
asset values have all combined to slow the rate of
increase in personal consumption expenditures during the recovery.
However, while these forces have slowed the
growth, they have not reversed it. Consumers are
spending more, but more notably, their consumption preferences have also appeared to change.
Consumers appear to be more focused on consuming based on need versus want; durables that yield
value over the long term such as cars, furniture, and
other household equipment, have eclipsed growth
in temporary service-based consumption such as
food services and accommodations. Whether or not
these compositional preference shifts remain or reverse throughout the recovery period remains to be
seen, but if they do remain, they will have implications for future trends in labor, production, and the
overall growth in the economy.

Federal Reserve Bank of Cleveland, Economic Trends | February 2014

9

Inflation and Prices

Cleveland Fed Estimates of Inflation Expectations
News Release: January 16, 2014
The latest estimate of 10-year expected inflation is
1.85 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

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 survey-based
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.

6
5
Expected inflation

4
3
2

Inflation risk premium

1
0
1982

1986

1990

1994

1998

2002

2006

2010

2014

Source: Haubrich, Pennacchi, Ritchken (2011).

Real Interest Rate

Expected Inflation Yield Curve

Percent

Percent
2.5

12

January 2014

10
2.0

8
6

January 2013

1.5

4
2

1.0

December 2013

0
-2

0.5

-4
-6
1982

0.0
1986

1990

1994

1998

2002

2006

2010

2014

1 2 3 4 5 6 7 8 9 10 12

15

20

25

30

Horizon (years)
Source: Haubrich, Pennacchi, Ritchken (2008).
Source: Haubrich, Pennacchi, Ritchken (2011).

Federal Reserve Bank of Cleveland, Economic Trends | February 2014

10

Labor Markets, Unemployment, and Wages

Is a Neighborhood’s Unemployment Rate Influenced by Its Metro Area?
02.12.14
by Dionissi Aliprantis, Kyle Fee, and Nelson Oliver
When people compare employment conditions
around the country, they usually think in terms
of large regions like the Midwest and the West
Coast or cities like Cleveland and Pittsburgh. But
employment conditions vary widely within major metropolitan area as well. Even if a metro area
experiences rising average levels of employment and
income, the changes in specific neighborhoods in
that metro area may be well above or below that
average.

Neighborhood Unemployment Rate, 1980
Unemployment rate
0.6
Individual neighborhoods
0.5

Quadratic prediction of average

0.4
0.3
0.2
0.1
0.0
0

25,000

50,000

75,000

100,000

125,000

Average household income in neighborhood (2009 US dollars)
Sources: US Census Bureau, Bureau of Economic Analysis.

We looked at unemployment and income data
by neighborhood in the100 largest metropolitan
statistical areas (MSAs) in the United States to see if
we could identify any factors that help explain the
differences that are observed across neighborhoods.
The MSAs selected were the 100 largest in terms of
population in 1980, and the factors we considered
come from Census data gathered on neighborhoods, or census tracts, between 1980 and 2008.
All dollar measurements are expressed in terms of
2009 real dollars, so they are comparable over time.
In general, high-income neighborhoods have much
lower unemployment rates than low-income neighborhoods, as one might. The chart below shows the
strength of the relationship in 1980. The typical
unemployment rate found in low-income neighborhoods would rarely be found in a high-income
neighborhood, while neighborhood unemployment
rates of over 50 percent can be found in some lowincome neighborhoods.
Given the strong association between a neighborhood’s income and its unemployment rate in 1980,
we might expect the effects of negative changes in
the labor market to be concentrated in low-income
neighborhoods. Contrary to this expectation, we
find that unemployment rates increased on average in all neighborhoods between 1980 and 2008,
regardless of their income. Neighborhoods in the
25th percentile of the national distribution of
household income saw their unemployment rate

Federal Reserve Bank of Cleveland, Economic Trends | February 2014

11

increase by 2.8 percentage points, while neighborhoods in the 75th percentile of household income
saw theirs increase by 1.9 percentage points.

Neighborhood Unemployment Rates
of All MSAs
Average unemployment rate
.20
.15
.10

2008
1980

.05
0.0
0.0

0.2

0.4

0.6

0.8

1.0

Percentile of the national income distribution
Source: American Community Survey (2006-2010), US Census Bureau.

Change in Neighborhood Unemployment
Rate, 1980−2008
Change (percentage points)
.05
Low−income neighborhoods
in low-growth MSAs

.04
.03
.02

Low−income neighborhoods
in high-growth MSAs

.01
0.0
0

0.2

0.4

0.6

0.8

1.0

Percentile of the national income distribution

Note: High-growth metro areas are those in the top 25 of metro areas in terms of
percent growth in average household income between 1980 and 2008. Low-growth
metro areas are those in the bottom 25 in terms of this measure
Source: American Community Survey (2006-2010), US Census Bureau.

Federal Reserve Bank of Cleveland, Economic Trends | February 2014

We looked more closely at low-income neighborhoods—those in the bottom quartile, or fourth, of
neighborhoods in 1980 in terms of average household income—to see why some did better than others. We find that changes in neighborhood unemployment rates were related to the characteristics of
the larger metro area of which the neighborhoods
were a part in 1980, such as the metro area’s average
household income or its share of residents with a
bachelor’s degree (BAs). Being in a metro area that
was in the top quarter of all metro areas in terms of
average household income decreased a low-income
neighborhood’s unemployment growth by about 1
percentage point on average (relative to those in the
bottom quarter). Likewise, the share of residents
with a BA had the same impact.
Income growth in the metro area over the last three
decades is very predictive of unemployment growth
in its low-income neighborhoods over the same
period. Low-income neighborhoods experienced
much larger growth in unemployment rates if
they were located in a metro area with low income
growth relative to those low-income neighborhoods
that were located metro areas with high income
growth. High-income neighborhoods, on the other
hand, were immune from this effect; they experienced similar unemployment changes regardless of
the type of metro area in which they were located.
What might explain the relationship between
growth in a low-income neighborhood’s unemployment rate and the income growth of its metro?
We speculate that low-income neighborhoods in
high-growth MSAs may have experienced an influx
of new residents with low unemployment rates, or
alternatively, low-income neighborhoods in lowgrowth metros could have experienced a loss of
residents with low-unemployment rates. Another
explanation could be that the sectors employing
residents in low-income neighborhoods are especially sensitive to the performance of the metro area
as a whole.

12

Monetary Policy

Yield Curve and Predicted GDP Growth, January 2014
Covering December 14, 2013–January 17, 2014
by Joseph G. Haubrich and Sara Millington
Overview of the Latest Yield Curve Figures

Highlights
January

December

November

Three-month Treasury bill rate (percent)

0.04

0.07

0.08

Ten-year Treasury bond rate (percent)

2.86

2.86

2.74

Yield curve slope (basis points)

282

279

266

Prediction for GDP growth (percent)

1.3

1.2

1.2

Probability of recession in one year (percent)

1.48

1.50

1.86

The yield curve became slightly steeper over the
past month, with the three-month (constant maturity) Treasury bill rate dropping to 0.04 percent (for
the week ending January 17), down from December’s 0.07 percent and November’s 0.08 percent.
The ten-year rate (also constant maturity) held
steady at 2.86 percent, though up from November’s 2.74 percent. The slope increased to 282 basis
points—a mere three basis points above December’s
279 basis points, but up a bit from November’s 266
basis points.

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
change)

-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 | February 2014

The steeper slope had a negligible impact on projected future growth. Projecting forward using past
values of the spread and GDP growth suggests that
real GDP will grow at about a 1.3 percentage rate
over the next year, just barely above the 1.2 percentage rate seen in November and December. The
influence of the past recession continues to push
toward relatively low growth rates. Although the
time horizons do not match exactly, the forecast is
slightly more pessimistic than some other predictions but like them, it does show moderate growth
for the year.
The slope change had only a slight impact on the
probability of a recession. 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 January at 1.48 percent, down a hair from
December’s number of 1.50 percent and below November’s 1.86 percent. 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

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.

Percent
10
GDP growth
(year-over-year change)

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.

6

Predicting the Probability of Recession

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

-2
-4
-6
1953

1960

1967

1974

1981

1988

1995

2002

2009

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 | February 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
14

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

1960

1967

1974

1981

1988

1995

2002

2009

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.

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

Federal Reserve Bank of Cleveland, Economic Trends | February 2014

15

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