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THE FEDERAL RESERVE BANK
OF CHICAGO

ESSAYS ON ISSUES
2016 NUMBER 359

Chicago Fed Letter
Is there still slack in the labor market?
by Daniel Aaronson, vice president and director of microeconomic research, Scott A. Brave, policy economist,
and David Kelley, senior associate economist

Based on recent population and labor force projections, we estimate that payroll employment
remained about one million jobs below its trend as of April 2016. Given an average pace
of roughly 200,000 jobs added per month so far this year, this implies that labor market
slack is likely to persist until late 2016. Considerable uncertainty surrounds this estimate,
however, especially with respect to labor force trends. An alternative calculation that
assumes a steeper decline in trend labor force participation driven by shifting demographics
suggests that slack could persist for up to an additional year.
While labor market conditions have improved substantially in the past few years, the lack of sustained
upward pressure on wages suggests that some slack may still remain. Using population projections
from the U.S. Census Bureau (Census) and labor force projections from the Congressional Budget
Office (CBO), we estimate that payroll employ1. Payroll employment gap
ment remains about 1 million jobs below its
trend (figure 1). In order to continue to close
millions
this gap, employment must increase faster than
10
its underlying trend. By our estimates, gains of
8
more than roughly 50,000 jobs per month in 2016
will cause labor markets to tighten on average.
6
This implies that if employment continues to
4
grow at an average pace of roughly 200,000 jobs
per month, as it has so far this year, some labor
2
market slack is likely to persist into late 2016.
0

In this Chicago Fed Letter, we detail how we arrive
at our estimates of trend employment growth.
Participation rate
Unemployment
Payroll/HH ratio
Population
We estimate that trend employment growth will
Notes: The black line in the figure depicts an estimate of the
increase through the end of the decade, rising
number of jobs separating actual and trend payroll employment,
to nearly 70,000 by 2020. Considerable unceri.e., the payroll employment gap on a quarterly basis from 2005:Q1
through 2016:Q1. The colored bars indicate the contribution to
tainty surrounds this jobs per month estimate,
the gap from each of the four components of payroll employment
especially with respect to labor force trends.
discussed in the text.
Sources: Haver Analytics and authors’ calculations.
For instance, according to our calculations made
based on the labor force participation trend
and natural rate of unemployment described in research by Aaronson et al.,1 instead of the CBO’s
estimates of these series, trend employment growth would be closer to 50,000 jobs per month through
the end of the decade.2 Both projections are largely driven by shifting demographics in the labor
force due to the ongoing retirement of the baby boomer generation.
2006

’08

’10

’12

’14

’16

2. Four components of trend employment growth
A. Population growth

B. Labor force participation rate

2.5

.67
.66

2.0

.65
1.5
.64
1.0

.63

.5
1980

.62
’90

2000

Population growth

’10

’20

1980

’90

2000

’10

Participation rate

Trend population growth

’20
Trend LFP

C. Natural rate of unemployment

D. Ratio of payroll to household survey employment

.12

.98

.10

.96

.08

.94

.92

.06

.04
1980

.90
’90

2000

Unemployment rate

’10
Natural rate

’20

1980

’90

2000

Payroll/HH

HH /HH

a

’10

’20

Payroll/HH trend

Notes: The figure displays the recent history and projections for the four components of trend payroll employment growth discussed in the
text. Each chart includes an estimate of the historical trend (red line), the historical data used to calculate the trend (blue line), and projections
for the trend (red dots). The lower right panel also shows the ratio of adjusted payroll to household survey employment (green line) used to
construct the trend ratio of payroll to household employment. See note 8 for variable definitions.
Sources: Haver Analytics and authors’ calculations.

Measuring trend employment
As previously discussed in research by Aaronson and Brave,3 our estimate of trend payroll employment is the product of four component trends, shown separately in figure 2: population growth,
the labor force participation rate, the natural rate of unemployment, and the ratio of payroll to
household survey employment.4
•

To obtain trend population, we append Census projections onto historical data for the civilian
noninstitutional population aged 16 and over. The resulting series is then smoothed to obtain
trend population growth (figure 2, panel A).5

•

For the trend labor force participation rate (figure 2, panel B), we use the potential labor force
from the CBO’s Budget and Economic Outlook divided by our estimate of trend population.6

•

Our estimate of the natural rate of unemployment (figure 2, panel C) is also from the CBO.
The product of one minus the natural rate of unemployment and the previous two measures
produces an estimate of trend employment as reported in the household survey of employment.

•

Due to conceptual differences, household employment is generally somewhat higher than
payroll employment.7 To move from this measure to an estimate of trend payroll employment,
we multiply by the trend of the ratio between these two surveys. In estimating the trend of this
ratio (figure 2, panel D), we make use of the “payroll concept-adjusted” household employment

series produced by the U.S. Bureau of Labor
Statistics (BLS) in order to first remove some
transitory differences between the surveys.8

3. Trend payroll employment growth
monthly payroll employment growth (thousands)

100

0

–100
2005

’10
Population
Natural rate

’15

’20

Participation rate
Payroll/HH ratio

Notes: The black line in the figure depicts an estimate of the
annual average monthly change in trend payroll employment from 2005 through 2020. The colored bars indicate the
contribution to trend employment growth from each of the
four components discussed in the text. Estimates prior to and
including 2015 are based on historical data, while estimates
beyond 2015 are based on projections.
Sources: Haver Analytics and authors’ calculations.

Labor market slack can be measured by the
distance between trend and actual payroll employment, i.e., the employment gap. Figure 1 plots
the employment gap since 2005. The solid black
line indicates the size of the gap, while the colored bars in the figure show the contribution to
the gap from each of the four components discussed above. At the peak of the Great Recession,
employment was roughly 10 million jobs below
trend. As of April 2016, it had recovered to a
shortfall of around one million jobs, indicating
that some slack still remains in labor markets.
However, if job gains were to continue at an
average pace of 200,000 jobs per month like
they have so far in 2016, this shortfall would be
closed later this year.

Closing the employment gap requires that employment increase faster than its underlying trend.
Figure 3 plots our estimate of the annual average monthly change in trend payroll employment
from 2005 through 2020. The solid black line corresponds to the month-to-month change in trend
payroll employment. The colored bars indicate the contribution to this measure from each of the
four components described previously.
In 2015, we estimate that trend employment increased at an average rate of about 60,000 jobs per
month. Trend employment growth is expected to fall to around 50,000 jobs per month in 2016,
with the slightly worse outlook driven by a larger decline in trend labor force participation in 2016
than in 2015 (the impact of changes in participation on employment growth is represented by the
blue bars). However, we expect the pace of trend employment growth to pick up modestly over the
remainder of this decade, even though trend population growth is expected to slow (green bars)
as the slower decline in trend participation mitigates the decline in population growth. On balance,
these forces should lead trend employment growth to rise to about 70,000 jobs per month by 2020.

Alternative estimates
It is important to keep in mind that these estimates come with considerable uncertainty. For
example, the Census projects trend population growth to fall from roughly 1.0% in 2015 to 0.9%
in 2020. If instead population were to continue to grow at its average rate over the past ten years,
trend payroll employment growth would be higher by about 5,000 jobs per month in 2016 and
20,000 jobs per month by the end of the decade. Likewise, if trend labor force participation were
to decline by an additional 0.1% annually, trend employment growth would be slower by roughly
20,000 jobs per month for the remainder of the decade. Finally, if the trend ratio of payroll to
household employment continues growing at its average rate over the past five years as opposed
to our baseline projection of no change, trend payroll employment will grow by an additional
10,000 jobs per month through the end of the decade.
These scenarios illustrate the sensitivity of our estimates to reasonable variations in the underlying
assumptions. The range of plausible estimates covered in this exercise emphasizes that there is
considerable uncertainty regarding future employment growth, depending on how the size of
the population and working behavior evolve. Still, it is difficult to construct plausible hypothetical

scenarios under which trend employment growth matches the 150,000 jobs per month estimate
that is often cited as the conventional wisdom.9
In fact, risks to the downside may potentially be greater. For instance, if instead we use the alternative measures for the natural rate of unemployment and trend labor force participation rate
described in Aaronson et al. (2014 and 2015), trend employment growth would currently be higher, at
around 70,000 jobs per month.10 However, shifting demographics would continue to exert downward pressure on the trend participation rate, leading trend employment growth to fall to around
50,000 jobs per month by the end of the decade.
The resulting measure of trend employment using our own estimates of trend labor force participation and the natural rate of unemployment is generally similar to that shown in figure 1, but
has differed substantially in recent years. Both measures indicate a peak employment shortfall of
roughly 10 million jobs, but our alternative measure implies the current pace of 200,000 job additions
per month doesn’t eliminate the employment shortfall until the second half of 2017.

Conclusion
We draw several conclusions from this exercise. First, it is likely that some slack remains in labor
markets, leading to diminished wage and price pressure in the interim until employment again
reaches its trend level. However, those gaps should be closed soon. Second, labor force attachment
trends are now the primary source of this employment gap. Given this result, it has been especially
comforting news that some of the gap has been closed by the 0.4 percentage point increase in the
labor force participation rate since September 2015. Finally, the pace of employment growth needed
to close this gap is considerably lower than the conventional wisdom would suggest and is lower than
what it would have been only ten years ago. Taken together, these findings suggest that trend
output growth is also likely to be on the low side of its history.
1

Daniel Aaronson, Luojia Hu, Arian Seifoddini, and Daniel G. Sullivan, 2014, “Declining labor force participation and
its implications for unemployment and employment growth,” Economic Perspectives, Federal Reserve Bank of Chicago,
Vol. 38, Fourth Quarter, pp. 100–138, https://chicagofed.org/publications/economic-perspectives/2014/4q-aaronson-etal;
and Daniel Aaronson, Luojia Hu, Arian Seifoddini, and Daniel G. Sullivan, 2015, “Changing labor force composition
and the natural rate of unemployment,” Chicago Fed Letter, Federal Reserve Bank of Chicago, No. 338, https://chicagofed.org/
publications/chicago-fed-letter/2015/338.

2

Alternative estimates of the payroll employment gap, trend employment growth, and its sources based on the labor
force participation trend and natural rate of unemployment in Aaronson et al. (2014 and 2015) can be found in the
web appendix to this article, https://www.chicagofed.org/~/media/publications/chicago-fed-letter/2016/
cfl359-appendix-pdf.pdf.

3

Daniel Aaronson and Scott Brave, 2013, “Estimating the trend in employment growth,” Chicago Fed Letter, Federal Reserve
Bank of Chicago, No. 312, July, https://www.chicagofed.org/publications/chicago-fed-letter/2013/july-312.

4

Trend employment is taken as the product of these four components, namely,
payroll
employment
= population × participation rate × (1 − natural rate ) ×
.
household

5

In particular, the smoothed population series uses the Hodrick–Prescott (HP) filter.

6

See https://www.cbo.gov/publication/51129.

7

See Mary Bowler and Teresa L. Morisi, 2006, “Understanding the employment measures from the CPS and CES survey,”
Monthly Labor Review, U.S. Bureau of Labor Statistics, February, pp. 23–38.

8

payroll HH a where HHa is the payroll concept-adjusted
The payroll-to-household ratio can be decomposed into payroll
=
×
,
HH
HH a
HH
measure. We take the trend value of the first ratio to be one under the assumption that the adjusted household employment series approximates the payroll employment series well. The second ratio is then smoothed using the HP filter
to produce the final trend payroll–household employment ratio. In our projections, we then hold this trend value
fixed at its last estimated value.

9

Josh Zumbrun, 2016,”The new magic number for monthly job growth: 145,000,” Wall Street Journal, April 7,
http://blogs.wsj.com/economics/2016/04/07/the-new-magic-number-for-monthly-job-growth-145000/.

10

This model estimates the effects of changes in the demographic and educational composition of the working-age
population and thus accounts for many important long-run trends, such as the retirement of baby boomers, the increase
in labor force participation of retirement-age workers, the decline in participation of prime-age men, changes in the
labor force participation of women, and changes in educational attainment.

Charles L. Evans, President; Daniel G. Sullivan, Executive
Vice President and Director of Research; David Marshall,
Senior Vice President and Associate Director of Research;
Spencer Krane, Senior Vice President and Senior Research
Advisor; Daniel Aaronson, Vice President, microeconomic
policy research; Jonas D. M. Fisher, Vice President, macroeconomic policy research; Robert Cox, Vice President, markets
team; Anna L. Paulson, Vice President, finance team;
William A. Testa, Vice President, regional programs, and
Economics Editor; Helen Koshy and Han Y. Choi, Editors;
Julia Baker, Production Editor; 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.
© 2016 Federal Reserve Bank of Chicago
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