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ESSAYS ON ISSUES

THE FEDERAL RESERVE BANK
OF CHICAGO

MAY 2012
NUMBER 298

Chicag­o Fed Letter
A different way to review the Chicago Fed National Activity Index
by Scott Brave, senior business economist, and Max Lichtenstein, senior associate economist

This article analyzes the recent sources of strength and weakness in the Chicago Fed
National Activity Index (CFNAI), using a new measure that is often a leading indicator
of the index’s movements.

The Chicago Fed National Activity Index

1. CFNAI and CFNAI Diffusion Index
index

2.0
1.0
0.0
−1.0
−2.0

is a monthly index of U.S. economic
activity constructed as a weighted average
of 85 economic indicators classified
into four groups: production and income;
employment, unemindex
ployment, and hours;
0.50
personal consumption
and housing; and sales,
0.25
orders, and inventories.1 It is designed
0.00
as a coincident indicator of national
−0.25
economic activity.
−0.50

In this Chicago Fed
Letter, we describe a
−3.0
−0.75
diffusion index2 constructed from the
−1.00
−4.0
2007
’08
’09
’10
’11
’12
weights given to each
of the underlying indiCFNAI-MA3 (left-hand scale)
cators of the CFNAI.
CFNAI Diffusion Index (right-hand scale)
We find that this difNotes: Data are through February 2012. This figure depicts the three-month
moving averages of the Chicago Fed National Activity Index (CFNAI-MA3) and
fusion index is often
the CFNAI Diffusion Index; for further details, see note 5. The shading indicates
a leading indicator of
an official period of recession as identified by the National Bureau of Economic
Research. The blue and black dashed lines represent thresholds derived for the
the CFNAI’s moveCFNAI-MA3 and the CFNAI Diffusion Index, respectively, indicating an increasing
likelihood that a recession has begun (values below) or ended (values above).
ments. Thus we use
The thresholds are –0.7 for the CFNAI-MA3 and –0.35 for the CFNAI Diffusion
Index, and they are derived according to the methodologies described in Evans,
this index to help
Liu, and Pham-Kanter (2002) and Berge and Jordà (2011), respectively.
explain the recent
sources of strength
and weakness in the CFNAI and discuss
its likely implications for growth in
economic activity in 2012.
CFNAI and economic activity in 2011

The CFNAI is an example of a
“Goldilocks” index. Essentially, this

means that the information in various
data series on national economic activity
is combined in such a way to reflect deviations around a trend rate of economic
growth. Accordingly, the CFNAI is normalized to have a mean of zero and
a standard deviation of one. In the
Goldilocks terminology, this means that
a zero value of the index is “just right,”
suggesting that the economy is proceeding
along its long-term historical growth path.
A negative value of the index is “cold,”
in that it suggests growth is below average, while a positive value is “hot,” in
that it suggests growth is above average.
The CFNAI can be very volatile, since
many of the series that make up the index
vary significantly from month to month.
For this reason, we focus on the threemonth moving average of the index, i.e.,
the CFNAI-MA3 (the blue line in figure 1), which smoothes the month-tomonth variations over time in order to
provide a more consistent picture of variations in economic growth around its
long-term trend. This smoothed version
of the index has an excellent track record
in identifying business cycle turning
points as well as the buildup of inflationary pressures from growth in economic
activity significantly above its trend rate.3
The modest recovery from the deep recession that lasted from December 2007
through June 2009 continued in 2011,
according to the CFNAI. However, as
figure 1 demonstrates, the recovery was

In contrast, the final category, personal
consumption and housing, continued
to make strong negative contributions
to the CFNAI for the fourth consecutive
year. This category did, however, experience a slight upward trend from May
2011 through the end of last year based
on improving housing starts and permits
numbers that, with the exception of
August, were above 600,000 annualized
units per month.

2. Contributions to CFNAI, by indicator categories
index
1

0

−1

Looking ahead through 2012
−2

−3

−4
2007

’08

’09

’10

’11

Production and income

Personal consumption and housing

Employment, unemployment, and hours

Sales, orders, and inventories

’12

Notes: Data are through February 2012. This figure depicts the contributions of each of the four broad categories of indicators
that make up the Chicago Fed National Activity Index (CFNAI) shown as three-month moving averages.

not without considerable volatility. The
CFNAI-MA3 began last year indicating
economic growth slightly above its longrun trend, and maintained this position
throughout the first quarter of 2011.
The second quarter saw steep declines
in the index as it plummeted to its lowest
level since late 2009, although it remained above the threshold (–0.7)
historically indicating the economy has
entered a recession. The CFNAI-MA3
then gradually improved during the third
and fourth quarters, ending 2011 just
above its long-run trend.
The production and income category
drove much of the movement in the
CFNAI over the course of 2011 (see
figure 2). This category’s contribution
was strongly positive during the first
quarter, but dropped steeply in April and
was largely neutral over the second quarter. It then rebounded during the summer months and by year’s end had
returned to its March 2011 level. These
movements largely reflected the dynamics
of manufacturing industrial production
and capacity utilization4—which suffered

early in the year from the supply chain
disruptions associated with Japan’s
natural disasters in March, but had
rebounded by year’s end.
The employment, unemployment, and
hours category also contributed to the
volatility in the CFNAI over the course
of 2011. During the first quarter’s strong
showing, the support came largely from
above-average gains in payroll employment. But after April, job gains slowed
considerably and initial claims for unemployment insurance (UI) rose as well.
The result was a drop in this category’s
contribution to the CFNAI to just below
zero by the end of the second quarter.
By the end of the third quarter, however,
job gains had begun to climb steadily;
such gains combined with a declining
unemployment rate and decreasing
initial UI claims had raised this category’s
contribution above zero through the
end of the year.
The contribution of the sales, orders,
and inventories category to the CFNAI
throughout 2011 largely mirrored that
of the production and income category.

The movements of the CFNAI in early
2012 suggest that growth in economic
activity continues to edge further above
its long-run trend. Given the unevenness
of the recovery to date, it is worthwhile
to reexamine the current sources of
strength and weakness in the CFNAI
and compare them with the developments of the past two years. To summarize this information, we have developed
a new metric based on the magnitude
of the weight given to each of the underlying indicators in the CFNAI. The construction of this “CFNAI Diffusion Index”
is detailed in the accompanying note,
and the new measure is also plotted in
figure 1.5
We track the general trend in improvement and deterioration in the underlying indicators of the CFNAI by tracing
the movements of the CFNAI Diffusion
Index between –1 and +1. If all of the
underlying indicators in a given month
are below their long-run averages, this
index will equal –1; and if all of the indicators are above their long-run averages, it will equal +1. This is useful in that
we can observe the momentum of the
CFNAI as its underlying indicators shift
above and below their long-run averages
over time.
The CFNAI Diffusion Index’s usefulness
as a leading indicator of the CFNAI’s
movements can be seen in figure 1.
After dipping into recessionary territory
in late 2007, the CFNAI Diffusion Index
bottomed out at –0.92 in September
2008—four months before the CFNAIMA3 reached its lowest point of the
most recent recession. After signaling a
recovery was under way in mid-2009
(one month ahead of the CFNAI-MA3),
the CFNAI Diffusion Index has been

2011, the CFNAI-MA3
caught up to the improvement in the
CFNAI Diffusion
Index. Interestingly,
both the CFNAI-MA3
and the CFNAI
Diffusion Index in
early 2012 are now
at their highest respective levels since
May 2010—the high
point of the recovery
to date according to
both measures.

3. Financial conditions and CFNAI
index
6

4

2

0

−2
2007

’08

’09

’10

’11

’12

The peak in the
CFNAI-MA3 in the
Notes: Data are through March 23, 2012. This figure displays the recent history of the
spring of 2010 was
Chicago Fed’s National Financial Conditions Index (NFCI) and adjusted NFCI (ANFCI).
short-lived, as growth
Values of the NFCI above zero indicate financial conditions that are tighter than
average, while values below zero indicate financial conditions that are looser than
in the second half of
average. A zero value for the ANFCI indicates a typical level for financial conditions
given the contemporaneous value of the three-month moving average of the Chicago
the year slowed conFed National Activity Index (CFNAI-MA3) and three-month total inflation as measured
by U.S. Bureau of Economic Analysis’s Personal Consumption Expenditures Price
siderably. Both the
Index. ANFCI values above zero then indicate financial conditions that are tighter than
would typically be suggested by contemporaneous economic conditions, and values
CFNAI-MA3 and the
below zero indicate the opposite.
CFNAI Diffusion
Index swiftly fell
above zero three times since; two of these
into negative territory during the final
occasions corresponded with periods
six months of 2010. One potential exwhere the CFNAI-MA3 was also above
planation is the possible aftereffects of
its long-run trend. In each of these two the unexpected tightening in financial
instances, the CFNAI Diffusion Index
conditions that occurred over the course
provided a leading signal of the CFNAIof 2010. Consider figure 3, which depicts
MA3 rising above zero, reaching this
the Chicago Fed’s National Financial
level itself one to two months before
Conditions Index (NFCI) and adjusted
the CFNAI-MA3.
National Financial Conditions Index
(ANFCI). These measures of financial
An exception occurred in mid to late
activity are constructed similarly to the
2011. Early in 2011, the CFNAI Diffusion
CFNAI.7 Positive values of the NFCI deIndex was markedly positive before
note financial conditions that are tighter
dropping very steeply in the second
than on average, and positive values of
quarter. However, even at its lowest point
the ANFCI denote financial conditions
of the year, it too remained above its
that are tighter than would typically be
6
recessionary threshold (–0.35). The
suggested by the CFNAI-MA3.8
CFNAI-MA3 stayed below zero for nearly
the remainder of 2011, but the CFNAI
Both the NFCI and ANFCI remained
Diffusion Index rebounded, spending
negative in 2011; however, as in 2010,
all but one month in the second half of they also increased considerably in the
the year above zero. In contrast, the
second half of the year, indicating a
most recent rise of the CFNAI-MA3 cotightening in financial conditions. While
incided with a substantial increase in
considerable improvement in the NFCI
the CFNAI Diffusion Index above zero. in recent months has been observed,
the ANFCI in early 2012 moved above
One could view the recent behavior of
zero, reaching its highest point since
the CFNAI Diffusion Index as reflecting
late 2009, before moving back to near
the temporary nature of the weakness
zero in recent weeks. This development
in economic activity in the first half of
is an indication that the improvement
2011. As the production-related indiin financial conditions did not keep pace
cators in the CFNAI rebounded in late
with the improvement in economic
NFCI

ANFCI

activity early in the year. As such, financial conditions may have served as a
slight drag on economic activity. Continued improvement in the ANFCI would
thus be a good sign for growth in the
remainder of 2012.
Conclusion

Recent readings of the CFNAI offer some
optimism for economic growth in 2012.
Production- and employment-related
indicators have rebounded significantly
from mid-2011. However, the housing
market continues to be a substantial
drag on the index; and sales, orders, and
inventories indicators have yet to demonstrate sustained strength. That said,
recent trends in the CFNAI Diffusion
Index are suggestive of economic growth
slightly above its long-term trend in
2012, which would mark another year
of recovery as well as an improvement
from 2011. As part of our continuing
efforts to track economic activity, we will
be making the CFNAI Diffusion Index
available in future CFNAI releases.
1 Additional information on the construction of the CFNAI can be found at
www.chicagofed.org/cfnai.

2 A diffusion index measures the degree to
which a change in a composite index is

Charles L. Evans, President ; Daniel G. Sullivan,
Executive Vice President and Director of Research;
Spencer Krane, Senior Vice President and Economic
Advisor ; David Marshall, Senior Vice President, financial
markets group ; Daniel Aaronson, Vice President,
microeconomic policy research; Jonas D. M. Fisher,
Vice President, macroeconomic policy research; Richard
Heckinger,Vice President, markets team; Anna L.
Paulson, Vice President, finance team; William A. Testa,
Vice President, regional programs, and Economics Editor ;
Helen O’D. Koshy and Han Y. Choi, Editors  ;
Rita Molloy and Julia Baker, Production Editors;
Sheila A. Mangler, Editorial Assistant.
Chicago Fed Letter is published by the Economic
Research Department of the Federal Reserve Bank
of Chicago. The views expressed are the authors’
and do not necessarily reflect the views of the
Federal Reserve Bank of Chicago or the Federal
Reserve System.
© 2012 Federal Reserve Bank of Chicago
Chicago Fed Letter articles may be reproduced in
whole or in part, provided the articles are not
reproduced or distributed for commercial gain
and provided the source is appropriately credited.
Prior written permission must be obtained for
any other reproduction, distribution, republication, or creation of derivative works of Chicago Fed
Letter articles. To request permission, please contact
Helen Koshy, senior editor, at 312-322-5830 or
email Helen.Koshy@chi.frb.org. Chicago Fed
Letter and other Bank publications are available
at www.chicagofed.org.
ISSN 0895-0164

“diffused,” or spread out, among the latter
index’s components. That is, a diffusion
index breaks down a composite index,
and analyzes its components separately to
determine the degree to which they are
moving in agreement with the dominant
direction of the composite index.

3 See James H. Stock and Mark W. Watson,

1999, “Forecasting inflation,” Journal of
Monetary Economics, Vol. 44, No. 2, October,
pp. 293–335; Jonas D. M. Fisher, 2000,
“Forecasting inflation with a lot of data,”
Chicago Fed Letter, Federal Reserve Bank of
Chicago, No. 151, March; Charles L. Evans,
Chin Te Liu, and Genevieve Pham-Kanter,
2002, “The 2001 recession and the Chicago
Fed National Activity Index: Identifying
business cycle turning points,” Economic
Perspectives, Federal Reserve Bank of Chicago,
Vol. 26, Third Quarter, pp. 26–43; Scott
Brave, 2009, “The Chicago Fed National
Activity Index and business cycles,” Chicago
Fed Letter, Federal Reserve Bank of Chicago,
No. 268, November; and Scott Brave and
R. Andrew Butters, 2010, “Chicago Fed
National Activity Index turns ten—Analyzing
its first decade of performance,” Chicago
Fed Letter, Federal Reserve Bank of Chicago,
No. 273, April.

4

Capacity utilization is calculated as the actual
output produced with installed equipment
divided by the potential output that could be
produced with it if used to its full capacity.

5

The CFNAI Diffusion Index is calculated
in the following way:

CFNAI Diff =

∑ | w + | −∑ | w − |
∑ |w |

get a sense of the dominant direction of a
composite index. We also tried constructing
this more standard diffusion index with the
CFNAI indicators, but found it to be an
inferior leading indicator of the CFNAI.
6

This threshold was calculated using the
techniques described in Travis J. Berge
and Òscar Jordà, 2011, “Evaluating the
classification of economic activity into
recessions and expansions,” American
Economic Journal: Macroeconomics, Vol. 3,
No. 2, April, pp. 246–277. The CFNAI
Diffusion Index signals the beginnings
and ends of recessions on average one
month earlier than the CFNAI-MA3.

7

For more information on the NFCI and
ANFCI, go to www.chicagofed.org/nfci.

8

An adjustment is also made for the contemporaneous level of total inflation as measured
by the U.S. Bureau of Economic Analysis’s
Personal Consumption Expenditures Price
Index. For more details, see Scott Brave
and R. Andrew Butters, 2011, “Monitoring
financial stability: A financial conditions
index approach,” Economic Perspectives,
Federal Reserve Bank of Chicago, Vol. 35,
First Quarter, pp. 22–43.

.

In other words, it is the sum of the absolute
values of the weights for the underlying
indicators whose contribution to the CFNAI
is positive in a given month less the sum of
the absolute values of the weights for those
indicators whose contribution is negative
or neutral in a given month, expressed as
a proportion of the total sum of the absolute values of the weights. By construction,
the sum of the absolute values of the CFNAI
weights is one, so that the numerator in
the expression is necessarily the CFNAI
Diffusion Index. To make this measure
comparable to the CFNAI-MA3, we take
its three-month moving average as shown
figure 1. This measure is slightly different
than the typical diffusion index, which generally uses the number of positive versus
negative and neutral indicators instead to