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FRBSF WEEKLY LETTER
September 21, 1984

Unemployment vs. Employment
Duringthe last recession, the U.S. experienced the
highest unemployment rates since the great depression of the 1930s. During this same recession,
however, the lowest employment rate was approximately the same as that prevailing during the
boom years of the late 1960s when unemployment was very low. Although the employment rate
(the percent of the adu It popu lation employed) did
decline during the 1981-82 recession, it fell only
2 percentage points. This decline contrasted markedly with the 3.6 percentage point rise in the
unemployment rate. How can one reconci Ie these
apparently divergent statistics? Does the unemployment rate or the employment rate give a better
picture of labor market conditions?
In this Letter, I show that variations in rates at
wh ich persons enter and leave the labor force
over the business cycle strongly affect the unemployment rate. Consequently, the interpretation of the unemployment rate is not entirely
straightforward, and, for some purposes at least,
the employment rate is a superior measure of labor
market conditions.
Measuring unemployment
The unemployment rate (as defined by the Department of Labor) is simply the ratio of the number of
persons unemployed (persons actively looking for
work plus persons on temporary layoff) to the
labor force (persons employed plus persons unemployed). The unemployment and employment
rates are measures of the probabilities of being
unemployed and employed, respectively. However, the unemployment rate is a measure of the
probability of being unemployed at a moment in
time conditional on being a labor force participant. In contrast, the employment rate is simply
the unconditional probability of being employed.

If labor force participants were a fixed group of the
popu lation who either worked or were unemployed, then the unemployment rate would have
a straightforward interpretation. High unemployment would mean a smaller probability of being
employed for a member ofthe group. Furthermore, if the labor force group were a constant
fraction of the population, employment and unemployment rates wou Id be mirror images of each

other-high unemployment would imply a low
likelihood of employment and vice versa. However, neither the labor forcenortheunemployed is
a fixed segment of the population. In some
months, for instance, considerable numbers of
persons previously not in the labor force enter to
search for employment, increasing the number of
unemployed persons and the unemployment rate.
This changing composition of the labor force
means that high unemployment does not necessarily imply low employment.
Business cycles and the labor force
Economists have long recognized that flows into
and out of the labor force might vary over the
business cycle and thus affect unemployment. Two
theories of the cYci ical behavior of labor force
entry and exit-the added-worker and discouraged-worker hypotheses-have played a prominent role in the economics literature.

The added-worker hypothesis postu lates that as
labor market conditions deteriorate during a recession, secondary workers, with weak attachment to the labor force, wou Id enter. Th is might
happen because the unemployment of the primary earner would lead secondary earners to
search for employment and thus add to the ranks
of the unemployed. Such an influx of job seekers
wou Id cause aggregate unemployment to increase
during a recession by a larger amount than the
increase due solely to the deteriorating employment prospects of those al ready in the Iabor force.
If such an influx did occur, the corresponding
increase in the unemployment rate would overstate the decline in demand for labor because
each job loss would result in more than one person being reported as unemployed.
Alternatively, the discouraged-worker hypothesis
posits that the rise in unemployment duri ng recessions is understated. According to this view, the
increased costs of finding a suitablejob would
lead to a reduction in job search and hence a
reduction in the number of persons counted as
unemployed. In other words, as labor market conditions deteriorate during a recession, more and
more searchers would become discouraged by
poor labor market conditions and leave the labor

FRBSF
force, and fewer person, not in the labor force
would enter to search for employment. If the reductions in job-search activity were sufficiently
large, the unemployment rate might not even rise
as labor market conditions deteriorated.
Determining which of these effects dominates
with aggregate data on the cyclical variation in the
number of persons employed, unemployed and
not in the labor force is difficult. Such data do not
enable us to measure directly changes in the propensity to enter the labor force to search for employment or changes in the likelihood unemployed persons will withdraw from the labor
force. For example, aggregate statistics showing
an increase in unemployment do not indicate
whether the increase is due to increased layoffs,
reduced hiring, increased labor force entry, or
reduced withdrawal from the laborforce by unemployed persons.
It is possible, however, to measure these flows
directly using unpublished data from the monthly
Current Population Survey. Below, an analysis of
these flow data, which provide direct evidence
about the relative importance of added-worker
and discouraged-worker effects, is presented. (A
more detailed version appears in the FRBSF 1984
Summer Economic Review)
Labor market flows
Variations in aggregate employment and unemployment are determined by labor market
flows into and out of employment, unemployment
and out-of-the-labor force. For example, the
change in the number of unemployed persons in
any given month equals the flow in minus the flow
out. Thus, given an initial distribution of the
population among the three employment status
categories, the number of persons in each category for all future periods is determined by labor
market flows.

Monthly data from January 1968 through March
1984 reveal that there are large flows into and out
of the labor force as well as between employment
and unemployment. In a typicalmonth, for example, 1.3 million persons not previously in the
laborforce entered to look for employment while
1.5 million unemployed persons gave up their job
searches and dropped out of the labor force. These
are very large flows compared to the 6.4 million
persons who were unemployed in an average
month during this period. Because these monthly

flows between out-of-the-labor-force and unemployment are so large, relatively small changes
in th"m can have large effects on the unemployment rate.
For example, if, as predicted by the added-worker
hypothesis, the flow from out-of-the-labor-force
into unemployment increased during a recession
as new entrants began searching for jobs, the number of unemployed and the unemployment rate
would increase. Or, if, as predicted by the discouraged-worker hypothesis, more job searchers
gave up their job search and dropped out of the
labor force, unemployment would decrease. Thus,
labor market entry and exit decisions can have
powerful effects on the unemployment rate even
when for labor market participants there have
been no changes in the difficulty offinding jobs or
the likelihood of losing jobs or when there have
been no economy-wide changes in individuals'
employment prospects.
If either of these views of the cyclical variation in
flows between persons not in the labor force and
unemployment were correct, the cyclical variation
in the unemployment rate would not accurately
represent the variation in the demand for labor or
individuals' employment prospects. Yet, flows between unemployment and out-of-the-laborforce do not directly affectthe number of employed persons or the employment rate. Thus, the
employment rate does not suffer from this sort of
potential bias as does the unemployment rate.
The evidence

Analysis of the monthly flow data shows that additional workers do enter the labor force to search
for employment during recessions but provides no
indication that job searchers become discouraged.
Chart 1 shows that labor force entry by persons
previously not in the labor force into unemployment rises substantially during recessions. Such a
cyclical increase is consistent with an influx of
secondary workers caused by the increase in unemployment among primary earners.
In addition, Chart 1 shows that labor force exit
from unemployment falls during recessions-just
the opposite of what would be expected if job
searchers become more discouraged about their
job prospects during recessions. Such a reduction
in the rate of labor force exit from unemployment
might be due to a larger proportion of the unemployed receiving unemployment insurance bene-

Chart 1
Monthly Flow Probabilities
(seasonally adjusted, 3·month moving average)
Probabilities

Chart 2
Simulated Ve'5us Actual Unemployment Rate
(monthly)
Probabllllles

0.0375
0.0350

0.0325
0.28

0.0300

0.26

0.0275

0.24

0.0250

0.22

0.0225

0.20

.

0.18

0.0200

0.0175

,

0.16 /\"".,.."

0.0150

0.14

0.0125

f

0.0100
1970

1972

1974

1976

1978

1980

1982

1984

Shad8dareas represent recessIons

fits (which subsidize job search) during recessions
than expansions. Whatever the reason, the cycl ical
pattern of these two types of Iabor force entry into
and exit from unemployment have strong and direct effects on the unemployment rate-they
cause it to be higher during recessions than if these
flows did not vary over the cycle.
Although these two flows into and out of unemployment directly affect the number of unemployed persons and hence the unemployment
rate, they do not directly affect the number of
employed or the unemployment rate. This explains why the unemploymentrate has a much
larger cyclical variation than the employment
rate.
Effect on unemployment
To what degree is the unemployment rate affected
by changes in labor force entry and exit flows?
Comparing the variation in the actual unemployment rate over several recent business cycles to a
simulated unemployment rate (calculated by
holding labor force entry and exit flows constant
at their mid-cycle levels but with flows within the
labor force taking their actual values) shows that
a substantial proportion of the cycl ical variation in
the actual unemployment rate is in fact due to
variation in labor force exit and entry flows (Chart
2). Differences in the two rates were especially
prominent in the 1974-75 and 1981-82
recessions.
Of course, labor flows from out of the labor force
directly into employment (without an intervening
unemployment spell) and from employment directly to out-of-the-Iabor-force also affect the unemployment rate. They do so because they affect
the number of employed persons, which is part of
the denominator in calculating the unemploy-

1970

19721974

1976

1978

1980

1982

1984

Shaded areesrepresent racesalona

ment rate. Increased flows into employment from
out of the labor force reduce the unemployment
rate, and increased flows out of employment to
out-of-the-Iabor-force increase it, all other things
equal.
Not surprisingly both of these flows also vary over
the business cycle with the demand for labor.
During a recession (when demand is declining),
flows from out of the labor force directly into
employment fall. Similarly, flows from employment to out-of-the-Iabor-force increase. Thus, the
cyclical variation in these two flows also causes
the unemployment rate to be higher during recessions and contributes to the difference between the
actual and simulated unemployment rates depicted in Chart 2.
Conclusions
The cyclical variation in labor force entry and exit
rates causes the unemployment rate to vary much
more over the business cycle-being higher during recessions and lower during expansionsthan it would if exit and entry were constant.
Conventional wisdom-thatthe rise in unemployment during recessions understates the deterioration in the demand for labor because of discouraged-worker effects-is inconsistent with the
actual evidence on labor market flows. In particuIar, labor force entry into unemployment rises and
labor force withdrawal from unemployment falls
during recessions. Because the variation in these
two rates of flow does not directly affect the employment rate, the employment rate has a much
smaller cyclical variation than the unemployment
rate. Consequently, the cyclical variation in the
employment rate is a superior measure of the cyclical variation in the demand for labor as well as
individuals' employment prospects.
Michael Keeley

Opinions expressed in this newsletter do not necessarily reflect the views of the management of the Federal Reserve Bank of San
Francisco, or of the Board of Governors of the Federal Reserve System.
Editorial comments may be addressed to the editor (Gregory Tong) or to the author .... Free copies of Federal Reserve publications
can be obtained from the Public Information Department, Federal Reserve Bank of San Francisco, P.O. Box 7702, San Francisco
94120. Phone (415) 974-2246.

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BANKING DATA-TWELFTH FEDERAL RESERVE DISTRICT
(Dollar amounts in millions)

Selected Assets and Liabilities
Large Commercial Banks
Loans, Leases and Investments 1 2
Loans and Leases 1 6
Commercial and Industrial
Real estate
Loans to Individuals
Leases
U.S. Treasury and Agency Securities 2
Other Securities 2
Total Deposits
Demand Deposits
Demand Deposits Adjusted 3
Other Transaction Balances4
Total Non-Transaction Balances 6
Money Market Deposit
Accounts-Total
Time Deposits in Amounts of
$100,000 or more
Other Liabilities for Borrowed MoneyS

Weekly Averages
of Daily Figures
Reserve Position, All Reporting Banks
Excess Reserves (+ )/Deficiency (-)
Borrowings
Net free reserves (+ )/Net borrowed (-)
1

2

3
4

S
6

Change from 12/28/83
Percent
Dollar
Annualized

Amount
Outstanding
8/22/84

Change
from
8/15/84

182,704
163,762
48,620
60,823
29,650
5,023
11,790
7,152
193,364
47,342
29,340
12,884
133,139

1,067
1,200
231
48
114
3
111
- 22
5,897
4,773
712
868
257

-

37,988

268

-

1,599

-

5.8

199
204

-

2,951
2,796

-

11.1
17.5

41,116
20,211
Period ended
8/27/84
60
68
7

-

-

-

6,679
8,407
2,657
1,924
2,999
40
717
1,011
2,367
1,895
1,991
109
4,154

Period ended
8/13/84
43
24
19

Includes loss reserves, unearned income, excludes interbank loans
Excludes trading account securities
Excludes U.S. government and depository institution deposits and cash items
ATS, NOW, Super NOW and savings accounts with telephone transfers
Includes borrowing via FRB, TT&L notes, Fed Funds, RPs and other sources
Includes items not shown separately

-

-

5.4
7.8
8.3
4.7
16.2
1.1
8.2
17.8
1.7
5.5
9.1
1.2
4.6