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June 2013: Supplement (June 5, 2013-June 7, 2013)

In This Issue:
Monetary Policy
 Yield Curve and Predicted GDP Growth,
May 2013
Households and Consumers
 The Ever-Updated Personal Saving Rate

Monetary Policy

Yield Curve and Predicted GDP Growth, May 2013
Covering April 16, 2012–May 20, 2013
by Joseph G. Haubrich and Patricia Waiwood

Highlights

Overview of the Latest Yield Curve Figures
May

April

March

Three-month Treasury bill rate (percent)

0.04

0.06

0.10

Ten-year Treasury bond rate (percent)

1.93

1.73

2.04

Yield curve slope (basis points)

189

167

194

Prediction for GDP growth (percent)

0.3

0.5

0.5

Probability of recession in one year (percent)

6.1

8.1

5.9

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

Yield Curve Spread and Real GDP Growth
Percent
10
GDP growth
(year-over-year change)

8
6
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, Federal Reserve Board.

Federal Reserve Bank of Cleveland, Economic Trends | June 2013: Supplemental

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.
The slope change had a bit more 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 May is 6.1 percent, down from April’s 8.1
percent, though up a bit from March’s 5.9 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.

2

The Yield Curve as a Predictor of Economic
Growth

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

Note: Shaded bars indicate recessions.
Sources: 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.

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, Federal Reserve Board, authors’
calculations.

Federal Reserve Bank of Cleveland, Economic Trends | June 2013: Supplemental

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.
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
3

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

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.

2014

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

For more on the yield curve, read the Economic Commentary “Does
the Yield Curve Signal Recession?” at http://www.clevelandfed.org/
Research/Commentary/2006/0415.pdf.
For more on the Federal Reserve Bank of New York’s estimate fo
recession, visit http://www.newyorkfed.org/research/capital_markets/ycfaq.html.

Federal Reserve Bank of Cleveland, Economic Trends | June 2013: Supplemental

4

Households and Consumers

The Ever-Updated Personal Saving Rate
06.05.13
by Pedro Amaral and Sara Millington
The Bureau of Economic Analysis (BEA) estimates
that the personal saving rate for the first quarter
of 2013 was 2.3 percent—a five-year low, and a
substantial drop from the fourth quarter of 2012,
when it stood at 5.3 percent. Since many economists think a healthy household balance sheet is
a necessary condition to fuel a stronger economic
recovery, should we be worried about how low this
estimate of the saving rate is?

Personal Saving Rate
Percent
7
6
5
4
3
2
1
0
2000

2002

2004

2006

2008

2010

2012

Note: Shaded bar indicates a recession.
Source: Bureau of Economic Analysis.

Difference between First and Current
Estimates for the Personal Saving Rate
Percentage points
7
6
5
4
3
2
1

We argue that the answer to this question is no,
at least not yet. Quarterly saving rates are fairly
volatile, and even though the first estimate for April
came in at an equally paltry 2.5 percent, we should
wait to see whether such low readings are confirmed in the next few months. More importantly,
though, initial estimates for the personal saving rate
normally end up being substantially revised. Moreover, these revisions are overwhelmingly on the
positive side; that is, the final estimates are usually a
lot higher than the initial ones. How much higher?
The initial estimate for the personal saving rate has
averaged 4.9 percent since World War II, while the
final (current) estimate is 7 percent. So when we say
revisions are substantial, we are not exaggerating.
Why is the personal saving rate so hard to estimate?
The BEA computes the personal saving rate as
part of its National Income and Product Accounts
(NIPA) and defines it as the ratio of personal savings to disposable income. Personal savings, in
turn, are obtained by subtracting personal outlays
(consumption expenditures, interest payments, and
current transfer payments) from disposable personal
income, which is personal income minus personal
current taxes.

0
-1
-2
1947 1952 1957 1962 1967 1972 1977 1982 1987 1992 1997 2002 2007 2012
Sources: Bureau of Economic Analysis, Federal Reserve Bank of Philadelphia.

Federal Reserve Bank of Cleveland, Economic Trends | June 2013: Supplemental

5

This is where things get tricky. While the BEA has
a very good handle on personal outlays, disposable
income is considerably harder to define and estimate. Here are its main components:
• Compensation of employees (wages and salaries
plus employer contributions to pension plans and
social insurance)
• Proprietors’ income (the income of owners of
nonincorporated businesses)
• Rental income
• Income receipts on assets (interest and dividend
income)
• Current transfer receipts (from Social Security,
Medicare, etc., but also from businesses) net of
contributions
While some of these components are straightforward to estimate, particularly the ones involving
government outlays and receipts, others are inherently hard to define. Moreover, some income
sources that have become fairly important for
households in the last 30 years, like capital gains on
equity and real-estate, are excluded altogether.
The revision process is typically a lengthy one. Data
for a given quarter are first published in an advance
release late in the first month of the following
quarter. After that, the second and third (aka final)
estimates are published one and two months after
that, respectively. Then, usually in the following
summer, the latest three years of data are revised, so
that the estimates typically undergo three rounds
of annual summer revisions. After that, estimates
are only revised in benchmark revisions, when the
BEA reconsiders its definitions and classifications to
more accurately portray an ever-evolving economy,
and it introduces new and improved statistical
methodologies. Such benchmark revisions are usually very substantial and occur every four years.
One is coming up in July this year.
There is an alternative way of obtaining estimates
for the personal saving rate using the Flow of
Funds Accounts (FOFA) reported by the Federal
Reserve Board. It is based on the fact that savings
(income minus outlays) are simply changes in net
worth. The FOFA and NIPA concepts of savings actually differ in that the former includes net
Federal Reserve Bank of Cleveland, Economic Trends | June 2013: Supplemental

6

Measures of the Personal Saving Rate
Percent (eight-quarter moving average)
12
Flow of Funds
Accounts

10
8
6
4

The lesson is that we should be careful when making inferences about household deleveraging based
on the latest BEA estimates for the saving rate. Not
only are these usually subject to substantial revision, but at this time alternative measures of the
saving rate are pointing in a different direction.

National Income and
Product Accounts

2
0
-2
2000

2002

2004

expenditures in consumer durables while the latter
does not. Nonetheless, the FOFA also reports a
NIPA-concept equivalent savings using FOFA data.
The resulting saving rate is very noisy, so we show
8-quarter moving averages in the figure below. In
contrast to the NIPA saving rate, the FOFA saving
rate is not only higher, it has been increasing.

2006

2008

2010

2012

Note: Shaded bar indicates a recession.
Sources: Bureau of Economic Analysis, National Income and Product Accounts,
Federal Reserve Board, Flow of Funds Accounts.

Federal Reserve Bank of Cleveland, Economic Trends | June 2013: Supplemental

7

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Federal Reserve Bank of Cleveland, Economic Trends | June 2013: Supplemental

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