NBER WORKING PAPER SERIES
UNEMPLOYMENT INSURANCE AND JOB SEARCH IN THE GREAT RECESSION
Jesse Rothstein
Working Paper 17534
http://www.nber.org/papers/w17534
NATIONAL BUREAU OF ECONOMIC RESEARCH
1050 Massachusetts Avenue
Cambridge, MA 02138
October 2011
This paper was prepared for the Brookings Papers on Economic Activity, which provided financial
support. I thank Stephanie Aaronson, David Card, Hank Farber, Lisa Kahn, Anne Polivka, John Quigley,
Gene Smolensky, Rob Valletta, Till von Wachter, the Brookings Papers editors and conference participants,
and seminar participants at Berkeley, NBER, Santa Barbara, and Wharton for many helpful comments
and suggestions. I gratefully acknowledge research support from the Institute for Research on Labor
and Employment and the Center for Equitable Growth, both at UC Berkeley. Ana Rocca provided
excellent research assistance. I served in the Obama administration in 2009-10 and participated in
internal discussions of the Unemployment Insurance extensions studied here, but all opinions expressed
herein are my own.
NBER working papers are circulated for discussion and comment purposes. They have not been peer-
reviewed or been subject to the review by the NBER Board of Directors that accompanies official
NBER publications.
© 2011 by Jesse Rothstein. All rights reserved. Short sections of text, not to exceed two paragraphs,
may be quoted without explicit permission provided that full credit, including © notice, is given to
the source.
Unemployment Insurance and Job Search in the Great Recession
Jesse Rothstein
NBER Working Paper No. 17534
October 2011
JEL No. H53,I38,J64,J65
ABSTRACT
Nearly two years after the official end of the "Great Recession," the labor market remains historically
weak. One candidate explanation is supply-side effects driven by dramatic expansions of Unemployment
Insurance (UI) benefit durations, to as many as 99 weeks. This paper investigates the effect of these
UI extensions on job search and reemployment. I use the longitudinal structure of the Current Population
Survey to construct unemployment exit hazards that vary across states, over time, and between individuals
with differing unemployment durations. I then use these hazards to explore a variety of comparisons
intended to distinguish the effects of UI extensions from other determinants of employment outcomes.
The various specifications yield quite similar results. UI extensions had significant but small negative
effects on the probability that the eligible unemployed would exit unemployment, concentrated among
the long-term unemployed. The estimates imply that UI benefit extensions raised the unemployment
rate in early 2011 by only about 0.1-0.5 percentage points, much less than is implied by previous analyses,
with at least half of this effect attributable to reduced labor force exit among the unemployed rather
than to the changes in reemployment rates that are of greater policy concern.
Jesse Rothstein
Goldman School of Public Policy
University of California, Berkeley
2607 Hearst Avenue
Berkeley, CA 94720-7320
and NBER
1 Introduction
While the so-called Great Recession” officially ended in June 2009, the labor market remains
stagnant. In September 2011, the unemployment rate remained above nine percent it
has fallen below that threshold for only 2 of the last 29 months and nearly 45% of the
unemployed had been out of work for more than six months.
An important part of the policy response to the Great Recession has been a dramatic
expansion of Unemployment Insurance (UI) benefits. Preexisting law provided for up to
26 weeks of benefits, plus up to 20 additional weeks of "Extended Benefits" (EB) in states
experiencing high unemployment rates. But Congress has frequently authorized additional
weeks on an ad hoc basis in past recessions, and starting in June 2008 it enacted a series of
UI extensions that brought statutory benefit durations to as long as 99 weeks.
Unemployment benefits subsidize continued unemployment. Thus, it seems likely that
the unprecedented UI extensions have contributed to some degree to the elevated unemploy-
ment rate. However, the magnitude and interpretation of this effect is not clear. Several
recent analyses have found that extensions of UI benefits contributed around 1.0 percent-
age points to the unemployment rate in 2010 and early 2011 (see, e.g., Mazumder, 2011;
Valetta and Kuang, 2010; Fujita, 2011), while some observers have claimed that the effects
were several times that size (Grubb, 2011; Barro, 2010).
There are two channels by which UI can raise unemployment, with very different policy
implications (Solon, 1979). On the one hand, UI extensions can lead recipients to reduce
their search effort and raise their reservation wages, slowing the transition into employment.
On the other hand, UI benefits which are available only to those engaged in active job
search also provide an incentive for continued search for those who might otherwise have
exited the labor force. The latter raises measured unemployment but has no effect or
possibly even a positive effect on the reemployment of displaced workers. Based in part
on this observation, Howell and Azizoglu (2011) find no support” for the view that UI
extensions have reduced employment. Unfortunately, most studies of the effect of UI on the
duration of unemployment have been unable to distinguish the two channels.
Uncovering the causal effect of UI extensions on labor market outcomes is difficult be-
2
cause these extensions are badly endogenous by design UI benefits are extended in severe
recessions precisely because it is seen as unreasonable to demand that workers find jobs
quickly when the labor market is weak. Thus, obtaining a credible estimate of the effect of
the recent UI extensions requires a strategy for distinguishing this effect from the confound-
ing influence of historically weak labor demand.
This paper uses the haphazard roll-out of the EUC and EB programs during the Great
Recession to identify the partial equilibrium effects of the recent UI extensions on the labor
market outcomes of workers who have been displaced from their previous jobs and are
actively seeking new ones. I use the longitudinal structure of the Current Population Survey
to construct hazard rates for unemployment exit, reemployment, and labor force exit that
vary across states, over time, and between individuals displaced at different dates.
I explore a variety of strategies for isolating the causal effects of UI extensions. One
strategy exploits the gradual rollout and repeated expiration of EUC benefits through suc-
cessive federal legislation to generate variation in benefit durations across labor markets
facing plausibly similar demand conditions. Second, as in Valetta and Kuang (2010), I use
UI-ineligible job seekers as a control group for eligible unemployed workers in the same
state-month labor markets. A third strategy exploits state decisions to take up or decline
optional EB provisions that alter the availability of EB benefits, using a control function”
to distinguish the effects of the economic conditions that define eligibility. Finally, I exploit
differences in remaining benefit eligibility among UI-eligible workers displaced at different
times but searching for work in the same labor markets to identify the effect of approaching
benefit exhaustion.
All of the strategies point to broadly similar conclusions. The availability of extended UI
benefits caused small reductions in the probability that unemployed workers exited unem-
ployment, reducing the monthly hazard in the fourth quarter of 2010 when the average
unemployed worker anticipated a total benefit duration of 65 weeks by between one and
three percentage points on a base of 22.4%. Not more than half of the unemployment
exit effect comes from effects on reemployment: My preferred specification indicates that
UI extensions reduced the average monthly reemployment hazard of unemployed displaced
workers in 2010:Q4 by 0.5 percentage points (on a base of 13.4%), and reduced the monthly
3
labor force exit hazard by 1.0 percentage points (on a base of 9.0%).
The labor force exit effect raises the possibility that UI extensions might actually raise
the employment rate of formerly displaced workers in bad economic times, by extending
the time until they abandon their search.
1
However, estimating this effect requires strong
assumptions, along with ad hoc corrections for shortcomings in the data. Using such as-
sumptions and corrections, I simulate the effect of the 2008-2010 UI extensions on aggregate
unemployment and on the long-term unemployment share. All of the estimates are partial
equilibrium, as I assume that reduced job search from one worker has no effect on the search
behavior or job-finding rate of any other worker. This almost certainly leads me to overstate
the effect of UI extensions.
Nevertheless, I find quite small effects. My preferred specification indicates that in the
absence of unemployment insurance extensions, the unemployment rate in December 2010
would have been about 0.2 percentage points lower and the long-term share of the unem-
ployed would have been about 1.6 percentage points lower. Even the specification yielding
the largest effects indicates that UI extensions contributed only 0.5 percentage points to the
unemployment rate. Moreover, simulations that include only the labor force participation
effects yield estimates at least half as large as do simulations with both participation and
reemployment effects, suggesting that reduced job search due to UI extensions raised the
unemployment rate by only 0.1 to 0.2 percentage points.
The remainder of the paper is organized as follows. Section 2 reviews recent labor
market trends and discusses the UI extensions that have been an important part of the
policy response. It also presents a simple model of the effects of UI benefit durations and
discusses existing estimates of the effect of the recent extensions. Section 3 discusses the
longitudinally-linked CPS data that I use to study the effects of UI. Section 4 presents my
empirical strategies for isolating the UI effect. Section 5 presents estimates of the effect of
UI benefit durations on the unemployment exit hazard. Section 6 develops a simulation
methodology that I use to extrapolate these estimates to obtain effects on labor market
1
In addition, UI may reduce hysteresis by increasing labor force attachment and thereby slowing the
deterioration of job skills. If so, UI extensions could make displaced workers more employable when demand
recovers. A related possibility is that UI extensions may deter displaced workers from claiming disability
payments (Duggan and Imberman, 2009; Joint Economic Committee, 2010).
4
aggregates, and presents results. Section 7 concludes.
2 The Labor Market and Unemployment Insurance in the
Great Recession
2.1 Labor market trends
The recession officially began in December 2007, but the downturn was slow at first: Sea-
sonally adjusted U.S. real GDP fell at an annual rate of only 0.7 percent in the first quarter
of 2008. Conditions worsened sharply in late 2008 and GDP contracted at an annual rate
of 6.8 percent in the fourth quarter.
The labor market downturn also began slowly. Figure 1 shows that the unemployment
rate began trending up in 2007, but remained only 5.8% in July 2008. Over the next year,
however, it rose 3.7 percentage points, to 9.5 percent, and has fallen below 9 percent in only
two months since. Employment data show similar trends: Non-farm payroll employment
rose through most of 2007, fell by 738,000 in the first half of 2008, and then fell by nearly
6.8 million over the next year. Job losses continued at slower rates in the second half of
2009, followed by modest and inconsistent growth in 2010. As of August 2011, employment
remained 6.9 million below its pre-recession peak.
Figure 1 also shows the long-term unemployment rate, defined as the share of the un-
employed who have been out of work for six months or more. It generally lags the overall
unemployment rate by about six months or perhaps a bit more: It began to increase slowly
in early 2008 and much more quickly in late 2008, reaching a peak around 45% in early 2010
nearly twenty percentage points higher than the previous record of 25.7%, recorded in
June 1983 and remaining mostly stable since then.
Figures 2A and 2B illustrate gross labor market flows over the course of the reces-
sion. These are obtained from two sources: The Job Openings and Labor Turnover Survey
(JOLTS), which derives from employer reports, and the gross flows research series computed
by the Bureau of Labor Statistics from matched monthly Current Population Survey (CPS)
household data discussed at length below. Figure 2A shows flows out of work: Quits and
5
layoffs from the JOLTS (“other separations,” including retirements, are not shown), and
gross employment to unemployment (E-U) flows from the CPS. Figure 2B shows flows into
work: Hires from the JOLTS and unemployment to employment (U-E) flows from the CPS.
It also shows unemployment to non-participation (U-N) flows, with both the U-E and U-N
flows expressed as shares of the previous month’s unemployed population.
Together, Figures 2A and 2B shed a good deal of light on the dynamics of the rise
and stagnation of the unemployment rate.
2
Figure 2A shows that layoffs spiked and quits
collapsed in late 2008, indicating an extreme weakening of labor demand; interestingly, the
decline in quits seems to have preceded the increase in layoffs by several months. Not
surprisingly, the number of monthly employment-to-unemployment transitions increased by
about one-third over the course of 2008. Layoffs returned to (or even below) normal levels
in late 2009, but quits remained just over half of their pre-recession level and E-U flows
remained high, suggesting that weak demand continued to dissuade workers from leaving
their jobs and to impede the usual quick transition of displaced workers into new jobs.
Turning to Figure 2B, we see that the collapse in new hires was more gradual than
the spike in layoffs and began much earlier, in late 2007. The rate at which unemployed
workers transitioned into employment also began to decline at this time, then fell much
more sharply in late 2008. Recall that the rapid run-up in long-term unemployment was
in mid-2009, roughly six months later, again suggesting that the usual process by which
displaced workers are recycled into new jobs was substantially disrupted around the time
of the financial crisis. U-E flows remain very low through the present day. Finally, the
U-N flow rate fell rather than rose during the recession, despite weak labor demand which
might plausibly have led unemployed workers to become discouraged. This is plausibly a
consequence of Unemployment Insurance benefit extensions, which created incentives for
ongoing search even if the prospect of finding a job was remote.
2.2 The policy response
Congress responded quickly to the deteriorating labor market, authorizing Emergency Un-
employment Compensation (EUC) benefits in June 2008, but proceeded in fits and starts
2
See Elsby et al. (2010) for a more detailed examination of these and other aggregate data.
6
thereafter.
3
The June 2008 legislation made 13 weeks of EUC benefits available to anyone
who exhausted his or her regular benefits before March 28, 2009. The EUC program was
subsequently expanded in November 2008. That expansion brought basic EUC benefits to
20 weeks, and also added a second “tier” of 13 weeks of benefits in states with unemployment
rates above 6%. A second expansion in November 2009 changed Tier II benefits to 14 weeks
and added Tiers III, 13 weeks of benefits when the unemployment rate was above 6%, and
Tier IV, an additional 6 weeks when the unemployment rate was above 8%. Adding the four
tiers together, individuals in high-unemployment states were eligible for 53 weeks of EUC
benefits. Columns 1-4 of Table 1 show the number of tiers and number of weeks available
over time.
The EUC program was originally set to expire on March 28, 2009. However, the program
was reauthorized several times to delay the scheduled expiration. Column 5 of Table 1
shows the scheduled expiration date of EUC benefits over time. For much of the program’s
history, the expiration date was quite close. Indeed, on three occasions, in April, June, and
November of 2010, Congress allowed the program to expire. Each time, Congress eventually
reauthorized it retroactive to the expiration date, but in June this took seven weeks.
The EUC program complemented a preexisting program, Extended Benefits (EB), that
allowed for 13 or 20 weeks of extra benefits in states with elevated unemployment rates. EB
is an optional program, and participating states can choose among several options regarding
the specific triggers that will activate EB benefits. As costs are traditionally split evenly
between the state and the federal government, many states have opted not to participate or
have chosen relatively stringent triggers. However, the American Recovery and Reinvestment
Act of (February) 2009 provided for full Federal funding of EB benefits. This induced a
number of states to begin participating in the program and to adopt more generous triggers.
4
Figure 3 shows the number of states in which EB benefits have been available over time,
along with simulated counts of the number of weeks that would have been available had
every state adopted minimal or maximal triggers. At the beginning of 2009, only three
3
This discussion draws heavily on Fujita (2010). I neglect a number of details of the UI program rules. In
particular, claimants whose previous jobs were short are not eligible for the full 26 weeks of regular benefits
or for the indicated number of weeks of EUC benefits.
4
The Recovery Act also provided for tax deductibility of a portion of UI benefits, for somewhat expanded
eligibility, and for more generous weekly benefits.
7
states offered EB benefits, but by July of that year benefits were available in 35 states.
Figure 3 shows that this reflected a combination of increased EB participation which
brought the “actual” series well above the “minimal” series and deteriorating economic
conditions that would have expanded EB participation even with fixed triggers.
5
The Figure
also shows that participation plummeted each time the EUC program was allowed to expire:
A number of states wrote their EB implementing legislation to provide for state participation
only as long as the federal government paid 100% of the cost, and this provision expired
and was reauthorized each time along with EUC. Other than these spikes, participation has
been relatively stable over time.
A final feature of Figure 3 is that there is a wide disparity between the simulated “min-
imal” and “maximal” series, with relatively few states and none after mid-2010 quali-
fying for benefits under the least generous triggers but nearly all states qualifying under the
most generous options. Thus, Alabama and Mississippi, each with total unemployment rates
of 10.4 percent but insured unemployment rates below 4 percent, both qualified under max-
imal triggers but not minimal triggers in January 2010; because Alabama had adopted the
most generous optional triggers but Mississippi had not, unemployed individuals in Alabama
were eligible for 20 weeks of EB benefits but those in Mississippi were ineligible.
Combining regular benefits (26 weeks), EUC (as many as 53 weeks) and EB (as many
as 20 weeks), statutory benefit durations have reached as long as 99 weeks in many states.
However, this overstates the number of weeks that any individual claimant could expect.
According to EUC program rules, after the program expires participants can draw out the
remaining benefits from any tier already started but cannot transition to the next tier.
Throughout 2010, the expiration date of the program was never more than a few months
away. Thus, no individual exhausting her regular benefits in 2010 could have anticipated
5
During the period covered by my sample, “minimal” triggers provided EB benefits only when the 13-week
moving average of the insured unemployment rate (IUR) was at least 5% and above 120% of the maximum
of its values one year and two years prior. It is this lookback period that accounts for the decline in the
minimal series in late 2009. “Maximal” triggers also provided benefits in states with 13-week IURs above
6% (regardless of their lagged values) or with three-month moving average total unemployment rates (TUR;
the traditional measure) above 6.5% and 110% of the value either one or two years prior. Each simulated
benefits series allows a state’s status to change no more than once in 13 weeks, following program rules; the
maximal series also assumes that the optional 3-year lookback was adopted when it became available in 2011.
See National Employment Law Project (2011) and Federal-State Extended Unemployment Compensation
Act of 1970 (Undated).
8
being able to draw benefits from EUC Tiers III or IV absent further Congressional action.
It is not clear how to model workers’ expectations in the weeks prior to a scheduled
EUC expiration. They might reasonably have expected an extension, if only to smooth the
“cliff in benefits that would otherwise be created. However, each extension has been highly
controversial, facing determined opposition and filibusters in the Senate. It would have been
quite a leap of faith in mid 2010, in the midst of a Republican resurgence, for an unemployed
worker to assume that the program would be extended beyond its November 30 expiration.
Moreover, even a worker who foresaw an eventual extension might (correctly) have expected
a gap in benefits between the program’s expiration and its eventual reauthorization. For
a UI recipient facing binding credit constraints, benefits paid retroactively are much less
valuable than those paid on time.
Figure 4 provides two ways of looking at the evolution of UI durations. The left panel
shows estimates for the state with the longest benefit durations at any point in time. After
late 2008, this is a state qualifying for 20 weeks of EB benefits and all extant EUC tiers. The
right panel shows the (unweighted) average across states. In each panel, the short dashes
show the maximum number of weeks available by statute over time, while the long dashes
and the solid line show the expectations of a worker just entering unemployment and of a
worker who has just exhausted her regular benefits, respectively, under the assumption that
workers do not anticipate future EUC extensions or trigger events.
The “statutory” series shows a rapid run-up, due primarily to EUC expansions and
secondarily to EB triggers, in 2008 and throughout 2009, followed by repeated collapses in
2010 when the EUC program temporarily expired. However, the other two series show much
more gradual changes from the perspective of individuals early in their allowed benefits.
Newly displaced workers who did not expect further legislative action would have seen the
EUC program as largely irrelevant for most of its existence, as only on three occasions
(roughly, the 3rd quarter of 2008, the 2nd quarter of 2009, and the period since December
2010) was the expiration of the EUC program farther away than the 26 weeks it would take
for a newly displaced worker to exhaust his regular benefits. Workers already exhausting
their regular benefits, by contrast, would have anticipated at least Tier I benefits at all times
except during the temporary sunsets. Even these workers, however, could not look forward
9
to Tier II, III, or IV benefits for most of the history of the program. It is only in December
2010 and the very beginning of 2011 that any such worker could anticipate eligibility for
Tier IV benefits. A final feature to notice is that the average state was quite close to the
maximum from 2009 on, as most states had adopted at least one of the EB options and
most had hit their triggers.
2.3 A model of job search and UI durations
To fix ideas, I develop a simple discrete time model of job search with exogenous wages and
time-limited unemployment insurance. The model yields two main results: First, search
intensity rises as UI benefit expiration approaches, and is higher for UI exhaustees than for
those still receiving benefits. Thus, an extension of UI benefits reduces the reemployment
chances of searching individuals, both those who have exhausted their regular benefits and
those who are still drawing regular benefits and thus not directly affected by the extension.
Second, when UI benefit receipt is conditioned on continuing job search, benefit extensions
can raise the probability of search continuation. Both results imply positive effects of benefit
extensions on measured unemployment. However, because the second channel can increase
search, the net effect on the reemployment of displaced workers is ambiguous.
I assume that individuals cannot borrow or save.
6
The income and therefore the
consumption of an unemployed individual is y
0
if she does not receive UI benefits and
y
0
+ b if she does. Her per-period flow utility is u (c) s, where c is her consumption and
s is the amount of effort she devotes to search. If she finds a job, it will be permanent
and will offer an exogenous wage w > y
0
+ b and flow utility u (w). The probability that
she finds a job in a period is an increasing function of search effort, p (s), with p
0
(s) > 0,
p
00
(s) < 0, p (0) = 0, p
0
(0) = , and p (s) < 1 for all s. Although p (s) might naturally be
modeled as a function of changing labor market conditions, to avoid excessive complexity
from dynamic anticipation effects I assume that job seekers treat it as fixed. I assume that
unemployment benefits are available for up to D periods of unemployment. Initially, I model
these as conditional only on continued unemployment; later, I condition also on a minimum
6
Chetty (2008) finds that much of the search effect of unemployment insurance is concentrated among
those who are credit constrained, and also that lump-sum severance pay has a similar effect to UI benefit
extensions (see also Card et al., 2007a).
10
level of search effort.
These assumptions lead to a dynamic decision problem with state variable d correspond-
ing to the number of weeks of benefits remaining. Letting V
U
(d) represent the value function
of an unemployed individual with d > 0 weeks of benefits remaining, the Bellman equation
is
V
U
(d) = max
s
d
u (y
0
+ b) s
d
+ δ [p (s
d
) V
E
+ (1 p (s
d
)) V
U
(d 1)] , (1)
where s
d
represents the chosen search effort, V
E
is the value function of an employed worker,
and 1 δ is the per-week discount rate.
7
The first order condition then implies that the search effort choice satisfies
p
0
(s
d
) =
1
δ (V
E
V
U
(d 1))
for d 1. The following results are proved in an appendix.
Proposition 1. The value function V
U
(d) is increasing in d: V
U
(d + 1) > V
U
(d) for all
d 0.
Proposition 2. Search effort increases as exhaustion approaches, reaching its final level in
the penultimate period of benefit receipt: s
d+1
< s
d
< s
1
= s
0
for all d 2.
Proposition 2 implies that unemployment insurance extensions will reduce job-finding
rates at all unemployment durations below the new maximum benefit duration D and will
shift the time-until-reemployment distribution rightward. The relative magnitude of the
effect at different unemployment durations depends on the shape of the p () function, but
under plausible parameterizations (s
d1
s
d
) declines with d so benefit extensions will have
the largest effects on the search effort of those who would otherwise be at or near exhaustion.
8
These results neglect the impact of UI job search requirements. To incorporate them,
I assume that an individual is considered a part of the labor force and therefore eligible
to receive UI benefits only if his search effort is at least θ > 0. Those who choose lower
7
Once benefits are exhausted (d = 0), the problem becomes stationary: V
U
(0) = max
s
0
u (y
0
) s
0
+
δ [p (s
0
) V
E
+ (1 p (s
0
)) V
U
(0)].
8
For example, this holds under the parameters considered by Chetty (2008, p. 8), which in my notation
correspond to CRRA utility u (c) =
c
1γ
1γ
with γ = 1.75, y
0
= 0.25w, b = 0.5w, p (s) = 0.25s
0.9
, δ = 1, and
V
E
= 500u (w).
11
search receive no benefit payments but preserve their benefit entitlements (that is, d is not
decremented). The Bellman equation for an individual with d > 0 weeks remaining is now:
˜
V
U
(d) = max
s
d
u (b) s + δ
h
p (s) V
E
+ (1 p (s))
˜
V
U
(d 1)
i
if s θ
u (0) s + δ
h
p (s) V
E
+ (1 p (s))
˜
V
U
(d)
i
if s < θ.
(2)
Unemployment benefits may deter an unemployed individual from exiting the labor
force if search productivity is low (i.e., if p
0
(θ) <
1
δ(V
E
V
U
(d1))
) and if benefit levels are
high relative to θ. It can be shown that:
Proposition 3. Any individual who chooses search effort s θ with d weeks of benefits
remaining would also choose s θ with d
0
weeks remaining, for all d, d
0
> 0.
Intuitively, an individual who chooses s < θ when her UI entitlement has not yet been
exhausted does not use any of her remaining entitlement so the state variable, and therefore
the optimization problem, is the same the following week. She will thus never re-enter the
labor force. This then implies that the value of the state variable was irrelevant the previous
week, as remaining benefit eligibility has no effect on someone who will never search again.
The only temporally consistent policies are to exit the labor force immediately after a job
loss or to remain in the labor force at least until benefits are exhausted.
UI benefit extensions thus reduce non-participation by delaying the exit of those who
plan to exit when d reaches 0. This implies that the net effect of UI extensions is ambiguous
when job search requirements are enforced: Those who would have searched intensively will
reduce their search effort, while some of those who would have dropped out of the labor
force will increase their effort. The relative strength of these two effects is likely to vary over
the business cycle: When labor demand is strong and search productivity therefore high,
the negative effect is likely to dominate, but when search productivity is low the former may
be more important.
Finally, it is worth mentioning two important factors that are not captured by this model.
First, p (s) may evolve over the business cycle. If p (s) is temporarily low but expected
to recover later, UI extensions might keep individuals searching through the low-demand
period. If search productivity is increasing in past search effort, as is implied by many
12
discussions of hysteresis, this could lead to higher employment when the economy recovers.
Even without state dependence in p (s), UI extensions may bring discouraged workers back
into the labor force earlier in the business cycle upswing. Second, I do not model search
externalities. Reduced search effort from one person likely increases the productivity of
search for all others if a UI recipient does not take an available job, this merely makes the
job available to someone else. This is particularly important if the labor market is demand
constrained, but arises anytime labor demand is downward sloping. In the presence of
search externalities, partial-equilibrium estimates of the effect of UI extensions on recipients’
reemployment probabilities will overstate the aggregate effects.
2.4 Prior estimates of the effect of UI extensions in the Great Recession
There have been a number of estimates of the effect of the recent UI extensions on labor
market outcomes. Nearly all involve extrapolations from pre-recession estimates of the effect
of UI durations or from pre-recession unemployment exit rates.
Mazumder (2011) uses estimates of the effect of UI durations from Katz and Meyer
(1990a) and Card and Levine (2000) to conclude that UI extensions contributed 0.8 to
1.2 percentage points to the unemployment rate in February 2011.
9
But UI durations in
the current recession are longer and labor market conditions are different in a variety of
ways than in the periods used for the earlier studies. The effect of UI durations in the
earlier estimates largely reflects a spike in the unemployment exit hazard in the weeks
immediately prior to benefit exhaustion. Katz and Meyer (1990b) find that much of this
spike is attributable to laid off workers recalled to their previous job; these recalls are thought
to have become much less common in recent years. Card et al. (2007a,b) suggest that much of
the remaining spike is attributable to labor force exit rather than reemployment, highlighting
the importance of distinguishing these two channels.
10
9
Aaronson et al. (2010), Fujita (2010), and Elsby et al. (2010) use similar strategies and obtain similar
results.
10
Another potential explanation for large spikes in at least some of the earlier studies is heaping in reported
unemployment durations. Katz (1986) and Sider (1985) suggest that in retrospective reports much of the
observed heaping especially prominent at 26 weeks (or 6 months), the duration of regular UI benefits
reflects recall error or other factors (Card and Levine, 2000) rather than UI effects.
13
Fujita (2011) extrapolates from reemployment and labor force exit hazards observed in
2004-2007 to infer counterfactual hazards in 2009-2010 had UI benefits not been extended.
To absorb confounding effects from changes in labor demand, he controls linearly for the job
vacancy rate. He finds larger effects of UI extensions on unemployment than does Mazumder
(2011), primarily attributable to reduced reemployment rather than reduced labor force exit.
However, these conclusions are based on the extrapolated effects of a reduction in the job
vacancy rate that is roughly twice as large as the range observed in the earlier period.
Daly et al. (2011), drawing on Valetta and Kuang (2010), contrast changes in the unem-
ployment durations of job-losers, many of whom are eligible for UI benefits, and job-leavers,
who are not, over the course of the recession. They conclude that UI extensions raised
the unemployment rate by 0.8 percentage points in 2009 and early 2010. This comparison
identifies the UI effect in the presence of arbitrary changes in demand conditions, so long as
the two groups are otherwise similar. However, the collapse in the quit rate seen in Figure
2A suggests that UI extensions may not be the only source of changes in the relative out-
comes of job losers and job leavers. If the remaining job leavers come largely from sectors
where job openings are plentiful while job losers come from those hit hard by the recession
(e.g., construction), the comparison between them will overstate any negative effect of UI
extensions.
A larger estimate comes from Barro (2010), who assumes that the long-term unemploy-
ment rate in 2009 would have been the same as in 1983 if not for the UI extension. Barro
concludes that extensions raised the unemployment rate by 2.7 percentage points. Grubb’s
(2011) literature review comes to quite similar conclusion, while Howell and Azizoglu (2011)
conclude that any effect is much smaller and primarily attributable to reduced labor force
exit induced by the UI job search requirement.
A final relevant paper is by Farber and Valletta (2011). That paper was written simul-
taneously with and independently of this one, but pursues a similar strategy of using recent
data and competing risks models to identify the effect of UI on reemployment and labor
force exit hazards. Unsurprisingly, Farber and Valletta obtain very similar results to those
presented below. Relative to Farber and Valletta, I (a) explore several alternative speci-
fications that isolate different components of the variation in UI benefits; (b) explore the
14
sensitivity of the results to unavoidable ad hoc assumptions made about expected benefit
availability; and (c) address an important discrepancy in the CPS data, discussed below,
that leads to drastic understatement of the long-term unemployment rate and that has the
potential to substantially obscure effects of UI extensions on unemployment durations.
3 Data
I use the Current Population Survey (CPS) rotating panel to measure the labor market
outcomes of a large sample of unemployed workers in the very recent past. Three-quarters
of each month’s CPS sample is targeted for another interview the following month, and it is
possible to match over 70% of monthly respondents (94% of the attempted reinterviews) to
employment statuses in the following month. (The most important source of mismatches is
individuals who move, who are not followed.) This permits me to measure one-month-later
employment outcomes for roughly 4,000 unemployed workers each month during the Great
Recession, and thereby to construct monthly reemployment and labor force exit hazards
that vary by state, date of unemployment, and unemployment duration.
The CPS data have advantages and disadvantages relative to other data that have been
used to study UI effects. Advantages include larger and more current samples, the ability to
track outcomes for individuals who have exhausted their UI benefits or who are not eligible,
and the ability to distinguish reemployment from labor force exit.
These are offset by important limitations. First, the monthly CPS does not contain
measures of UI eligibility or receipt. Only displaced workers those who were laid off from
their previous jobs rather than having quit or being new entrants to the labor force are
eligible for UI benefits. Past research has found that less than half of the eligible unem-
ployed actually receive UI benefits (Anderson and Meyer, 1997). This appears to have risen
somewhat in the current recession; I estimate that over half of displaced workers unemployed
more than three months in early 2010 received UI benefits.
11
Although the participation
rate is far less than 100%, I simulate remaining benefit durations for all displaced workers,
11
Observations in February, March, and April can be matched to data from the Annual Demographic
Survey, which includes questions about UI income in the previous calendar year. In early 2010, 56% of
job-leavers whose unemployment spells appear to have started before December 1, 2009 reported non-zero
UI income, up from 39% in early 2005.
15
assuming that each is eligible for full benefits. As I estimate relatively sparse specifications
without extensive individual controls, the estimates can be seen as the “reduced form” av-
erage effect of available durations on the labor market outcomes of all displaced workers,
pooling recipients and non-recipients. To implement the simulation, I match the CPS data
to detailed information about the availability of EUC and EB benefits at a state-week level
and compute eligibility for benefits in each week between the time of displacement and the
initial CPS interview (including those paid retroactively due to delayed reauthorizations).
I assume that one week of eligibility has been used for each week of covered unemployment
(including retroactive coverage due to delayed reauthorizations).
In modeling expectations for benefits subsequent to the CPS interview, I assume in my
main specifications that the individual anticipates no further legislative action or triggering”
of benefits on or off after that date, as in Figure 4. Insofar as unemployed individuals are
able to forecast future legislation, I may understate the duration of expected benefits and
overstate the amount of variation across unemployment entry cohorts within the same state.
It is unclear in which direction we would expect this nonclassical measurement error to bias
my results; I explore specifications aimed at reducing this bias below.
A second limitation of the CPS data is that employment status and unemployment
durations are self-reported, and respondents may not fully understand the official definitions.
Officially, someone who is out of work, is available to start work, and has actively looked for
work at least once in the last four weeks should be classified as unemployed,” with a duration
of unemployment reaching back to the last time he/she was not in this state. Someone who
has not actively searched or is unavailable to start a job is out of the labor force. But the line
between unemployment and non-participation can be blurry, particularly when there are few
suitable job openings to which to apply or when job search is intermittent. The data suggest
that reported unemployment durations often stretch across periods of non-participation
or short-term employment back to the perceived true” beginning of the unemployment
spell. Reinterviews with CPS respondents in the 1980s indicate important misclassification
of labor force status, particularly for unemployed individuals who are often misclassified
as out of the labor force. This leads to substantial overstatement of unemployment exit
16
probabilities (Poterba and Summers, 1984, 1995; Abowd and Zellner, 1985).
12
Relatedly,
examination of the unemployment duration distributions indicates substantial heaping at
monthly, semi-annual, and annual frequencies, suggesting that many respondents round their
unemployment durations.
To minimize the misclassification problem, my primary estimates count someone who
is observed to exit unemployment in one month but return the following month that is,
someone whose three-month trajectory is U-N-U or U-E-U as a non-exit.
13
This means
that I can only measure unemployment exits for observations with at least two subsequent
interviews. I have also estimated alternative specifications that count all measured exits or
that exclude many of the heaped” observations, with similar results.
14
I discuss these issues
at greater length in Section 6.
Finally, the CPS does not attempt to track respondents who change residences between
interviews. Mobility and nonresponse lead to the attrition of roughly 8% of the sample and
10% of the unemployed respondents each month. If UI eligibility affects the propensity
to move (Frey, 2009; Kaplan and Schulhofer-Wohl, 2011), this could bias my estimates in
unknown ways. However, when I estimate my main specifications using mobility as the
dependent variable, I find no sign that it is (conditionally) correlated with my UI duration
measures.
Table 2 presents summary statistics for my full CPS sample, which pools data for inter-
views between May 2004 and January 2011, matched to subsequent interviews in each of the
next two months. (Rotation groups that would not have been targeted for two follow-up in-
terviews are excluded.) Figure 5 presents average monthly exit probabilities for unemployed
workers who report having been displaced from their previous jobs (as distinct from new
entrants to the labor force, reentrants, and voluntary job leavers) over the sample period.
The overall exit hazard fell from about 40% in mid 2007 to about 25% throughout 2009
12
CPS procedures were altered in 1994, in part to reduce classification error. There are no public-use
reinterview samples from the post-1994 period. However, my analysis of data supplied by Census Bureau
staff suggests that the misclassification of unemployment remains an important issue even after the redesign.
13
Fujita (2011) also recodes some U-N-U trajectories as U-U-U. I am grateful to Hank Farber for helpful
conversations about this issue.
14
I am unable to address a related potential problem: although the CPS data collection is independent
of that used to enforce job search requirements, these requirements may lead some true non-participants to
misreport themselves as active searchers. This may lead my estimates of the effect of UI on reported labor
force participation to overstate the effect on actual job search.
17
and 2010.
15
The Figure also reports exit hazards for those unemployed 0-13 weeks and 26
weeks or more. The hazard is higher for the short-term than for the long-term unemployed.
However, both series fell similarly to the overall average in 2007 and 2008, indicating that
only a small portion of the overall exit hazard decline can be attributable to composition
effects arising from the increased share of long-term unemployed with low exit rates.
4 Empirical Strategy
The matched CPS data allow me to measure whether an unemployed individual exits un-
employment over the next month, but do not allow me to follow those who do not exit to
the end of their spells. I thus focus on modeling the exit hazard directly. I assume the
monthly hazard follows a logistic function. To distinguish between the different forms of
unemployment exit, I turn to a multinomial logit model that takes reemployment, labor
force exit, and continued unemployment as possible outcomes.
Let n
ist
be the number of weeks that unemployed person i in state s in month t has been
unemployed (censored at 99); let D
ist
be the total number of weeks of benefits available to
her, including the n
ist
weeks already used as well as weeks she expects to be able to draw
in the future; and let Z
st
be a measure of economic conditions. Using a sample of displaced
workers, I estimate specifications of the form:
ln
λ
ist
1 λ
ist
= D
ist
θ + P
n
(n
ist
; γ) + P
Z
(Z
st
; δ) + α
s
+ η
t
. (3)
ist
is the probability that the individual exits unemployment by month t + 1;
s
and
t
are fixed effects for states and months; and P
n
and P
Z
are flexible polynomials. This logit
specification can be seen as a maximum likelihood estimator of a censored survival model
with stock-based sampling and a logistic exit hazard, with each individual observed for
only two periods.
16
However, as I discuss below, modeling survival functions in the CPS
15
This is a lower exit rate than is apparent in the BLS gross flows data, which also derive from matched
CPS samples but do not incorporate my adjustment for U-N-U trajectories.
16
In principle, individuals can be followed for three periods in the CPS data. (Although the CPS is a
4-period rotating sample, I cannot measure exit between period 3 and period 4 because I require a follow-up
observation to measure temporary exits.) Accounting for this would give rise to a somewhat more complex
likelihood function. I treat an individual observed for three periods as two distinct observations, one on exit
18
data is challenging due to inconsistencies between stock-based and flow-based measures of
survival. In Section 6, I develop a simulation approach to recovering survival curves from
the estimated exit hazards that are consistent with the observed duration profile. For now,
I focus on modeling the hazards themselves.
After some experimentation, I settled on the following parameterization of P
n
:
P
n
(n
ist
; γ) = n
ist
γ
1
+ n
2
ist
γ
2
+ n
1
ist
γ
3
+ 1 (n
ist
1) γ
4
. (4)
This appears flexible enough to capture most of the duration pattern. I have also estimated
versions of (3) using fully nonparametric specifications of P
n
(n
ist
; γ), with little effect on
the results.
As discussed above, the main challenge in identifying the effect of D
ist
is that it covaries
importantly with labor demand conditions. Absent a source of true random assignment of
D
ist
, I explore several alternative strategies, aimed at isolating different components of the
variation in D
ist
that are plausibly exogenous to unobserved determinants of unemployment
exit.
My first strategy attempts to absorb labor demand conditions through the P
Z
function.
In my preferred specification, P
Z
is a cubic polynomial in the state unemployment rate. I
also explore richer specifications that control as well for cubics in the insured unemployment
rate an alternative measure of unemployment based only on UI-eligible workers and
the number of new UI claims in the CPS week (expressed as a share of the employed, eligible
population). The remaining variation in D
ist
comes primarily from the haphazard roll-out
of EUC, which creates variation over time in the relationship between Z
st
and the number
of weeks of available UI benefits. Additional variation derives from the repeated expiration
and renewal of the EUC program and from state decisions about whether to participate
in the optional EB program. Note that labor demand is likely negatively correlated with
the availability of benefits, so specifications of P
Z
that do not adequately capture demand
conditions will likely lead me to overstate the negative effect of UI benefits on job-finding.
A second strategy uses job seekers who are not eligible for UI, either because they are
from period 1 to period 2 and another on exit from period 2 to period 3 (if she survives in unemployment
in period 2), allowing for dependence of the error term across the observations.
19
new entrants to the labor market or because they left their former jobs voluntarily, to control
non-parametrically for state labor market conditions (Valetta and Kuang, 2010; Farber and
Valletta, 2011). Using a sample that pools all of the unemployed, I estimate:
ln
λ
ist
1 λ
ist
= D
ist
ω + e
ist
D
ist
θ + P
n
(n
ist
, e
ist
; γ) + e
ist
P
Z
(Z
st
; δ) + α
st
, (5)
where
st
is a full set of state-month indicators and e
ist
is an indicator for whether individual
i is a job loser (and therefore presumptively UI-eligible). P
n
(n
ist
, e
ist
; ) represents the
full interaction of the unemployment duration controls (4) with the eligibility indicator,
while e
ist
P
Z
(Z
st
; δ) indicates that the relative labor market outcomes of job losers and
other unemployed are allowed to vary parametrically with observed labor market conditions.
The D
ist
measure of the number of weeks available is calculated for everyone, eligible and
ineligible alike, and is entered both as a main effect that will absorb any correlation between
cohort employability and benefits and interacted with the eligibility indicator e
ist
. The
causal effect of UI duration is θ, and identified from covariance between UI extensions and
changes in the relative unemployment exit rates of job losers and other unemployed who
entered unemployment at the same time, over and above that which can be explained via
the Z
st
controls.
This specification has the advantage that it does not rely on parametric controls to
measure the absolute effect of economic conditions on job-finding rates. However, recall that
Figure 2A indicated that the quit rate has been low throughout the recession. If the ineligible
unemployed during the period when benefits were extended are disproportionately composed
of people who have relatively good employment prospects, the evolving prospects of the
population of ineligibles may not be a good guide to those of eligibles, leading specification
(5) to overstate the causal effect of UI benefits. I attempt to minimize this by adding controls
for individual covariates age, education, gender, marital status, and former occupation
and industry to (5).
My third strategy returns to the eligible-only sample but narrows in on the variation
in UI durations coming from state decisions about which EB triggers to adopt, using a
control function to absorb all other variation in D
ist
. I augment (3) with a direct control
20
for the number of EUC weeks available. This leaves variation only in EB benefits (and,
incidentally, eliminates my reliance on assumptions about job-seekers’ expectations of future
EUC reauthorization, as the EB program is not set to expire). I also add controls for the
availability of EB benefits in the st cell under maximal and minimal state participation
in EB (as graphed in Figure 3), along with indicators for the status of each of the four
EB triggers.
17
With these controls, the only variation in D
ist
should come from differences
among states in similar economic circumstances in take-up of the optional EB triggers.
My final strategy turns to an entirely different source of variation, focusing on the in-
teraction between the number of available weeks in the state and the number of weeks that
the individual has used to date. Equations (3) and (5) model the effect of UI extensions as
a constant shift in the log odds of unemployment exit, reemployment, or labor force exit;
in some specifications I allow separate effects on those unemployed more or less than 26
weeks. But this is a crude way of capturing the effects, which the model in Section 2.3
suggests are likely to be strongest for those facing imminent exhaustion that for those for
whom an extension only adds to the end of what is already a long stream of anticipated
future benefits. To focus better on this, I turn to a specification that parameterizes the UI
effect in terms of the time to exhaustion:
ln
λ
ist
1 λ
ist
= f (d
ist
; θ) +
99
X
v=0
1 (n
ist
= v) γ
v
+ α
st
. (6)
Here, d
ist
= max {0, D
ist
n
ist
} represents the number of weeks of benefits remaining,
with f (·; θ) a flexible function; I impose only the normalization that f(0; θ) = 0, implying
that UI extensions have no effect on job searchers who have already exhausted even their
extended benefits. The second term in (6) is a full set of indicators for unemployment
duration, and the third is a full set of state-by-month indicators. There are two sources of
variation that allow separate identification of the effects of d and n, within state-by-month
cells, without parametric restrictions. The first is the nonlinearity of the mapping from D
ist
and n
ist
to d
ist
: across-(s, t) variation in benefit availability has one-for-one effects on d
ist
17
Three of the triggers are described in note 5. The fourth is is activated when the 3-month moving
average TUR exceeds 8% and is above 110% of the minimum of its one-year and two-year lagged values.
States adopting optional trigger 3 are required to also adopt 4, which when activated provides an additional
7 weeks of EB benefits on top of the normal 13.
21
for those who have not yet exhausted benefits but not for those who have. Second, the
EUC expiration rules mean that the addition of new EUC tiers extends d for those who will
transition onto the new tiers before the EUC program expires but not for those with lower
n
ist
who expect the program to have expired before they reach the new tiers.
5 Estimates
Panel A of Table 3 presents logit estimates of equation (3), with standard errors clustered
at the state level. The table shows the unemployment duration coefficient and its standard
error. Below these, it also shows the estimated effect of the UI extensions on the average
exit hazard in the fourth quarter of 2010, computed as the difference between the average
fitted exit probability and the average fitted probability implied by the model with benefit
durations set to 26 weeks for the entire sample.
18
Column 1 is estimated using only
displaced workers who are presumed to be eligible for UI benefits, and includes state and
month fixed effects and the n
ist
controls indicated by (4), but no controls for economic
conditions in the state. It indicates a significant negative effect of UI benefit durations on
the probability of unemployment exit, with a net effect of the UI extensions on the 2010:Q4
exit rate of -2.3 percentage points (on a base of 22.4%). Columns 2–5 add additional controls:
First a control for the state unemployment rate, then a cubic in that rate, then cubics in
three other measures of slackness the number of UI claimants and the number of new UI
claims, each expressed as a share of insured employment, and the state employment growth
rate and then finally a vector of individual-level covariates, including education, age,
marital status, and indicators for previous industry. The estimated UI effects move around
a bit as the covariate vector is expanded, but within a fairly narrow range: The implied
effects of UI expansions on the exit hazard in 2010:Q4 range from -1.7 to -2.3 percentage
points.
Columns 6 and 7 turn to my second strategy, adding to the sample over 60,000 unem-
ployed individuals who left their jobs voluntarily or are new entrants to the labor force and
18
Strictly, I use observations from the September–November surveys. December observations are excluded
because the EUC program had expired and not yet been renewed at the time of the December survey; see
Section 2.2.
22
are therefore not eligible for UI benefits. As indicated by equation (5), this allows me to add
state-by-month fixed effects.
19
I also include an indicator for (simulated) UI eligibility and
its interaction with the duration and unemployment rate controls, as well as a “simulated
UI duration” control that is common to both the job-losers and the job-leavers and designed
to capture any unobserved cohort effects that are common to both groups but correlated
with my UI measure. Column 7 also adds the full vector of individual covariates, as a
guard against the possibility that there are important differences in employability between
the job-losers and the job-leavers comparison group. With or without these covariates, the
estimates indicate notably smaller effects than in columns 1-5.
There is no particular reason to think that benefit extensions have the same effects on
those near exhaustion as on those just beginning their spells. As a first step toward loosening
this assumption, in Panel B I allow D
ist
to have distinct effects on those unemployed more
and less than 26 weeks. The negative effect of D on unemployment exit is found to be
entirely concentrated among those unemployed 26 weeks or more, with estimated effects on
the shorter-term unemployed that are close to zero, never statistically significant, and in
many cases positive. The coefficients for the long-term unemployed are somewhat larger
than in Panel A, though the differences are small. The implied effects of UI extensions on
exit hazards are smaller than those in Panel A in columns 1–5, but larger in columns 6 and
7, narrowing the gap between the two sets of specifications.
Table 4 presents several specifications aimed at gauging the sensitivity of the estimates
to the measurement of expected future benefits. Column 1 repeats the baseline specification
from Table 3, Panel B, Column 3. Column 2 replaces the anticipated UI duration measure
with an alternative calculated under the assumption that all recipients expect the EUC
program to be extended seamlessly and indefinitely.
20
This leads to larger estimated UI
effects, more than doubling the effect on the monthly exit rate.
Measurement error in the two benefit duration proxies is likely concentrated in the
months shortly preceding expiration of the EUC program, when the two expectations mod-
els yield quite different durations; the simulated benefit durations should match recipient
19
For computational reasons, I estimate the specification by conditional logit, then back out consistent
but inefficient estimates of the α
st
fixed effects for use in predicted exit probabilities.
20
This is the measure used by Farber and Valletta (2011).
23
expectations much more closely in subsamples where the two expectations models are in
closer agreement. Column 3 presents a specification that builds on this intuition. I measure
the absolute difference between the Ds calculated under the two expectations models, and
interact this difference with the simulated benefit duration (using my “myopic” expectations
model). I interpret the D main effect in this specification the effect of durations when
the two expectation models are in agreement as indicating the causal effect of D, and
I interpret the interaction as a measure of the bias due to mismeasurement of D when
EUC expiration approaches. Point estimates for the main effects are intermediate between
those in Columns 1 and 2; the interaction coefficients are negative for both the short- and
long-term unemployed, but are imprecisely estimated.
Column 4 takes a different approach to the difficulty of forecasting EUC extensions:
I simply control directly for the (simulated) number of EUC weeks available. With this
control the only remaining variation in D comes from EB benefits, which are not directly
dependent upon EUC reauthorization. The estimated UI effects are somewhat larger than
in my baseline specification but in the same general range.
Finally, Column 5 turns to my third strategy for identifying the UI effect, using a control
function to isolate variation in EB benefits coming from state decisions about which version
of the EB triggers to use.
21
I add to the Column 4 specification controls for the status of each
of the four EB triggers and for simulated EB benefits under the most and least generous
versions of the triggers. This inflates the coefficients, which indicate that UI extensions
reduced the monthly exit rate by 3.1 percentage points.
Next, I explore the distinction between reemployment and labor force exit. Table 5
reports multinomial logit estimates of several of the specifications from Tables 3 and 4, using
three outcomes: Continued unemployment (the base case), exit to employment, and exit to
non-participation in the labor force. For the long-term unemployed, the results indicate
that benefit durations have negative, significant effects of roughly similar magnitude on
21
Identification in this specification comes from variation in state take-up of a program that was for much
of the period under study entirely funded by the federal government. Insofar states that turned down this
free money an important consideration seems to be the presence of a governor who was vocally opposed to
federal economic stimulus in 2009 experienced sharper downturns in labor market conditions (conditional
on my controls), this strategy may lead me to overstate the effect of UI. Of course, an association in the
opposite direction would lead me to understate this effect.
24
the logit indexes for both types of unemployment exit. For the short-term unemployed,
estimates indicate positive effects on reemployment and negative effects on labor force exit,
both insignificant in most specifications. The bottom rows show the effects of UI extensions
on average exit hazards in 2010:Q4. Benefit extensions appear to lead to larger reductions
in the probability of labor force exit than in the probability of reemployment, reflecting in
part the positive point estimates for reemployment of the short-term unemployed. Given
the imprecision in those estimates, however, effects of comparable magnitude on the two
margins are clearly within the confidence intervals.
The multinomial logit model requires the “independence of irrelevant alternatives” (IIA)
assumption, which corresponds to independent risks of reemployment and labor force exit.
This may be incorrect here, particularly if (as in the model in Section 2.3) search effort is
continuous and labor force participation simply corresponds to an arbitrary effort threshold.
However, note that the labor force exit and reemployment effects indicated in the last rows
of Table 5 sum to a net effect on unemployment exit that is, in each column, quite similar
to the effect implied by the corresponding binomial logit model. This is at least suggestive
that violations of IIA are not dramatically biasing the results.
Two additional considerations support the same general conclusion. The most likely
source of IIA violations is unobserved heterogeneity: Individuals with low job-finding prob-
abilities may be most likely to exit the labor force (and vice versa). Recall from Table 3,
however, that controlling for unobservables has little effect on the estimated UI effects. The
same is true in the multinomial specifications (compare Column 3 of Table 5, which includes
the individual covariates, with Column 2, which does not). This is at least suggestive that
neglected individual heterogeneity is not driving the results. Second, insofar as heterogeneity
is producing IIA violations, it likely leads me to overstate the negative effect of UI extensions
on reemployment: If extensions dissuade low-job-finding-probability individuals from labor
force exit, this will reduce average job-finding rates among the unemployed through a pure
composition effect, on top of any effect operating through UI’s disincentive for intensive
search. My estimates of the reemployment effect will thus be biased downward. As even
the estimated effects in Table 5 are quite small, it seems safe to conclude that UI extensions
have not had large effects on the job-finding probabilities of the unemployed.
25
Table 6 presents a number of alternative specifications of the multinomial logit regression,
focusing on the implied effects of UI extensions on the 2010:Q4 exit hazards. The first
row repeats the results from Table 5, column 2. Row 2 allows the UI effect to differ for
those with initial durations under 26 weeks, exactly 26 weeks, and over 26 weeks, as there
is substantial heaping at 26 in the raw data (due, presumably, to rounding of durations
reported in months). Although point estimates (not shown) show that effects are largest for
those with exactly 26 weeks, this group is not large enough to change the overall average
exit hazards.
Row 3 offers another approach to investigating the impact of duration heaping: I exclude
from my sample anyone who reported a duration of exactly 26, 52, or 78 weeks when first
asked about his unemployment spell (in his first month in the CPS sample), as well as anyone
who reports an inconsistent duration from one month to the next.
22
This leads to larger
effects of UI extensions on labor force exit, but does not change the substantive story. Row
4 excludes individuals who have been unemployed for less than 8 weeks at the first survey.
This reduces the precision of the estimates, and a test of the hypothesis that the effects of
UI durations on labor force exit of the short- and long-term unemployed are both zero now
is only marginally significant (p=0.06). However, the basic pattern is again similar to that
seen earlier.
Row 5 explores the sensitivity of the result to the definition of unemployment “exit.”
Where my main specifications count only exits that don’t backslide into unemployment
the following month, in order to exclude those most likely to be spurious consequences of
measurement error in employment status, this specification counts all exits. This allows me
to expand the sample by over 50%, as I only require one follow-up interview to measure
exit. It raises the baseline hazards substantially, particularly for labor force exit, but has
little impact on the estimated effect of UI extensions.
The remaining rows of Table 6 show estimates on different subsamples. Rows 6 and 7
show that the effect of UI extensions is concentrated among prime-age workers; for workers
over 55, extensions appear to raise the unemployment exit probability (though only the
22
That is, an unemployment duration of 9 weeks in interview 2 would be considered inconsistent unless
the individual reported in interview 1 being unemployed for between 3 and 6 weeks.
26
effect on reemployment is statistically significant). Rows 8 and 9 show effects by gender;
there is no clear pattern here. Rows 10 and 11 show that the labor force exit effect is con-
centrated among non-college workers, though reemployment effects are similar for more- and
less-educated workers. Finally, rows 12 and 13 show that labor force exit effects are con-
centrated among workers in the construction and manufacturing sectors, where employment
was especially hard hit in the recession, while reemployment effects derive from workers
displaced from other sectors.
Next, I turn to my fourth strategy, as described in equation (6), allowing the effects of
UI durations to operate through the time to exhaustion. As in the baseline specifications
earlier, I control for state and month indicators and a cubic in the state unemployment rate.
I also include an extremely flexible parameterization of the unemployment duration
23
. As
discussed in Section 4, the time-until-exhaustion effects are identified due to variation across
state-month cells in the number of weeks available D
st
with one-for-one effects on d
ist
only for those whose durations do not exceed the higher D value and to variation in D
ist
across unemployment cohorts within cells due to the projected expiration of EUC benefits
at fixed calendar dates, which means that earlier unemployment cohorts expect to be able
to start more EUC tiers than do later cohorts.
I begin with a multinomial logit specification that allows for unrestricted d
ist
effects.
The d coefficients from this specification are illustrated as the solid lines in Figure 6.
24
The
reemployment coefficients, in the left panel, show a clear pattern of negative coefficients that
are perhaps falling as d
ist
falls toward about 10, then rise toward zero as d
ist
falls further.
This is consistent with the general pattern one would expect from reasonably parameterized
search models (see Section 2.3), with depressed search effort from those with many weeks
left and increasing effort as benefit exhaustion approaches that reaches a maximum value
at the time of exhaustion, with constant search effort thereafter.
25
The labor force exit
23
The duration density gets thin at above one year, and most respondents seem to round their durations
to the nearest month. I thus include weekly duration indicators for durations up to 26 weeks and monthly
indicators thereafter, plus separate linear weekly duration controls within each of 8 bins (26-30 weeks, 31-40,
41-50, 51-60, 61-70, 71-80, 81-90, and 91-99).
24
The maximum value of d
ist
in my sample is 83, but the frequency of individual values above 35 is often
quite low, so I show coefficients only for the lower portion of the distribution.
25
The increase in the exit rate as d approaches zero is consistent with the presence of a “spike” in the
exit rate at or near the exhaustion of benefits (i.e., at d = 0 or d = 1; see, e.g., Katz and Meyer, 1990a).
The CPS data are not well suited to the identification of sharp spikes, however, as the monthly frequency
27
coefficients, in the right panel, show a roughly similar pattern: Negative and fairly stable for
large d
ist
values, rising as d
ist
falls from 10 toward 0. This time, however, the coefficients are
generally positive for the lowest d
ist
values, indicating that those very near exhaustion are
more likely to exit the labor force than are those who have already exhausted their benefits.
This, too, is consistent with the search model presented earlier, which indicated that benefit
exhaustion would trigger labor force exits among at least a subset of UI claimants.
26
Based on the pattern of coefficients in Figure 6, I next turn to a semi-parametric spec-
ification that allows for three duration terms: A linear term in d
ist
; a second linear term
in max {0, d
ist
10} that allows for a change in the slope when d
ist
exceeds 10; and an
intercept that applies to all individuals with remaining benefits (i.e. with d
ist
> 0). Es-
timates from a logit specification are shown in the first row of Table 7. As in Figure 6,
exit rates are lower for those with many weeks of remaining benefits than for those whose
benefits have been exhausted, roughly constant across d greater than 10 the main d term
and the additional term for d > 10 cancel out and sharply increasing as d falls from 10
toward 0. There is no significant difference in exit rates between those in their last weeks
of benefits and those who have already exhausted, holding constant the length of the spell.
The rightmost column of Table 7 shows that the implied effect of UI benefits on the UI exit
rate is somewhat smaller than those implied by the earlier estimates.
The second row of Table 7 shows a specification that includes a full set of state-by-month
indicators. This yields very similar results to those in the less restrictive specification. In row
3, I return to the control variables from row 1, but use a multinomial logit that distinguishes
alternative types of exit from unemployment. (Coefficients from this specification are plotted
as dashed lines in Figure 6.) As before, we see substantial effects of UI benefits on both
margins, but the impact on unemployment exit hazards is smaller than in the earlier analyses.
smooths out week-to-week changes.
26
In the model, exits occur either immediately upon job loss or upon exhaustion. Thus, the model does
not perfectly fit the data, which show positive rates of labor force exit even for non-exhaustees. The gradual
rise in labor force exit rates as the date of exhaustion approaches is also inconsistent with the model, but
may be explained by an imperfect correspondence between my simulated exhaustion date and the true one.
28
6 Simulations of the Effect of Unemployment Insurance Ex-
tensions
The results in Tables 3 7 indicate that the UI benefit extensions enacted in 2008-2010
reduced both the probability that a UI recipient found a job and the probability that he ex-
ited the labor force, with somewhat larger estimated impacts on the latter than the former.
Moreover, the results are quite stable across a variety of specifications that exploit different
components of the variation in UI benefits. However, the magnitudes are difficult to inter-
pret. This section presents simulations of the net effect of the extensions on labor market
aggregates, obtained by comparing actual unemployment exit hazards with counterfactual
hazards that would have been observed in the absence of UI benefit extensions.
6.1 Stocks and flows in the CPS
Extrapolation of the estimated hazards to the aggregate level requires confronting an impor-
tant limitation of the longitudinally linked CPS data: The exit hazards seen in the data are
inconsistent with the cross-sectional duration profile. Figure 7 illustrates this by plotting
survival curves computed in two different ways. The solid line uses the CPS as repeated
cross sections, without attempting to link observations between months. The estimated
survival rate to duration n of the cohort entering unemployment in month m is simply the
ratio of the number of unemployed observations in month m + n with duration n to the
number of unemployed observations in m with duration 0.
27
To smooth the estimated rate,
I pool both numerator and denominator across all entrance months in calendar year 2008.
The dotted and dashed lines are Kaplan-Meier survival curves based on unemployment
exit hazards estimated from the linked CPS sample described in Section 3. The survival
rate to duration n is computed as
Q
n1
t=0
p (m + t, t), where p (x, t) represents the share of
unemployed individuals in month x at duration t who remain unemployed in month x + 1.
The dotted line uses two-month panels to estimate p, counting as survivors only those who
27
In practice, the unemployment duration measure is in weeks, where the CPS sample is monthly. For
Figure 7, I compute the duration in months as floor(
n
/4.3), where n is the duration in weeks and 4.3 is the
average number of weeks in a month. Note also that this construction does not constrain the survival curve
to be downward sloping, and indeed the data show upward slopes at 6, 12, and 18 months, presumably a
reflection of rounding in reported durations.
29
report being unemployed in the second month (that is, only U-U transitions). The dashed
line uses my preferred survival measure, using a three-month panel to measure persistence
of exits and only counting exits between month 1 and month 2 where the person does not
return to unemployment in month 3 (that is, U-E-E, U-N-N, U-N-E and U-E-N transitions
count as exits between months 1 and 2 but U-E-U and U-N-U cycles are treated as survival
into month 2). As with the cross-sectional curve, both of the Kaplan-Meier curves are
computed by pooling all unemployment entry cohorts from calendar year 2008.
Both of the Kaplan-Meier survival curves are substantially below the curve computed
from repeated cross-section data. The most important contributor to this discrepancy is the
phenomenon highlighted in Section 3: It is not uncommon for an unemployed individual in
month t to report being out of the labor force or employed in t+1 and then unemployed again
(often with a long unemployment duration) in t + 2. While some of these transitions are
real, a large share appear to be artifacts of measurement error in the t + 1 labor force status
(Abowd and Zellner, 1985; Poterba and Summers, 1986, 1984). The alternative Kaplan-
Meier survival curve based on the three-month panel substantially reduces the discrepancy
with the repeated cross section data.
Extensive exploration of the CPS data points to two other factors contributing to the
remaining discrepancy. The first is so-called rotation group bias”: The measured unemploy-
ment rate is higher in the first month of the CPS panel than in later months, even though
each rotation group should be a random sample from the population (see, e.g., Bailar, 1975;
Solon, 1986; Shockey, 1988). Second, individuals starting a new unemployment spell often
report long durations. This phenomenon is particularly common when the employment spell
that precedes the entry into unemployment is short, suggesting that respondents may be
conflating what appear to be distinct spells into a longer super-spell. However, this does not
seem to be a complete explanation. In 2006 and 2007, for example, there are nearly 2,400
respondents observed to be employed for three consecutive months and then unemployed
in the fourth month; 10% of these report unemployment durations in the fourth month of
longer than 6 weeks.
30
6.2 Reconstructing survival curves consistent with the observed stocks
A full econometric model of measurement error in CPS labor force status and unemployment
durations is beyond the scope of this paper. Instead, I use ad hoc procedures similar in spirit
to the “raking” algorithm that the Bureau of Labor Statistics uses in constructing the gross
flows data (Frazis et al., 2005) to force consistency between the Kaplan-Meier survival curve
and the cross-sectional duration profile. I take the view that the cross-sectional profile is
correct, and that differences between this profile and my (adjusted) Kaplan-Meier survival
curve are due to “late entries” into unemployment.
28
I use two different adjustments; I
argue below that one approach is likely to lead me to somewhat overstate the effect of UI
extensions while the other is likely to understate it.
Let u (m, n, s) be the count of individuals observed in month m in state s with duration
n (in months) obtained from cross-sectional data; let p (m, n, s) represent the probability
that an individual in month m in state s with duration n persists in unemployment by
month m + 1; and let p
c
(m, n, s) be the counterfactual persistence probability that would
be observed in the absence of unemployment insurance extensions. Both p and p
c
are
obtained from fitted values from the exit regressions presented in Section 5.
The unemployed at duration n are the survivors from among the unemployed at n 1
one month prior. This creates a link between the u () and p () functions:
u (m, n, s) = u (m 1, n 1, s) p (m 1, n 1, s) + e (m, n, s) . (7)
In population data without measurement error, the residual e (m, n, s) would be identically
zero. The actual residual in (7) has two components. The first is mean-zero sampling error,
which may cause the number of unemployed in newly entering rotation groups to differ from
the number rotating out. The second is the “late entry” phenomenon discussed above, which
leads to E [e (m, n, s)] > 0 for most n.
We wish to compare u (m, n, s) to the counterfactual unemployment u
c
(m, n, s) that
would be observed had the persistence probabilities been p
c
rather than p. To do this,
28
The UI system tabulates the number of individuals who exhaust their (regular program) benefits each
month, providing an independent measure of survival. The implied exhaustion rates are much more nearly
consistent with the cross-sectional survival curve than with the Kaplan-Meier curve.
31
I assume that entry into unemployment at duration 0 is not affected by UI extensions:
u (m, 0, s) = u
c
(m, 0, s) for all m and s. My two approaches differ in their assumptions
about the counterfactual values of e (m, n, s).
My first approach begins with an expression for u (m, n, s) obtained by recursively
substituting into the right side of (7):
u (m, n, s) = u (m n, 0, s)
n1
Y
t=0
p (m n + t, t, s) + E (m, n, s) , (8)
where E (m, n, s)
P
n
r=1
[e (m n + r, r, s)
Q
n
t=r
p (m n + t, t, s)]. (Hereafter, I sup-
press the month and state subscripts, understanding that increments to duration require
corresponding increments to the month of observation in order to maintain a focus on the
same entry cohort.) In this approach, I assume that the cumulative count of surviving late
entries E (n) is unaffected by UI extensions. I estimate
ˆ
E (n) u (n) u (0)
Q
n1
t=0
p (t).
This is simply the vertical distance between the solid and long-dashed lines in Figure 7,
evaluated at duration n. I use (8) to construct a counterfactual unemployment count
ˆu
c1
(n) u (0)
n1
Y
t=0
p
c
(t) +
ˆ
E (n) . (9)
My second approach assumes instead that the per-period late entries e (n) are unaffected
by UI extensions but that the subsequent persistence of these late entrants is affected.
Following (7), I estimate ˆe (d) = u (n) u (n 1) p (n 1), then define the counterfactual
count iteratively as:
ˆu
c2
(n) = u
c2
(n 1) p
c
(n 1) + ˆe (n) . (10)
This can be rewritten to yield an intuitive expression for ˆu
c2
(n) in terms of actual counts
u (n) and two adjustments:
ˆu
c2
(n) u (n) + u (n 1) [p
c
(n 1) p (n 1)] (11)
+
ˆu
c2
(n 1) u (n 1)
p
c
(n 1)
32
The first adjustment the second term on the right side of (11) reflects differences
between the actual and counterfactual scenarios in unemployment persistence at duration
n 1, while the second adjustment the third term in (11) captures differences in exit
at durations t < n 1, multiplied by the probability of surviving from n 1 to n.
Neither assumption about the late entries is particularly plausible. First, there is no
reason to expect that the job search behavior of “late entrants” to unemployment will be
unaffected by UI extensions, particularly if these late entrants are in part an artifact of
measurement error in the pre-unemployment labor force status. If the late entrants are in
fact affected, E
c
(n) < E (n) and ˆu
c1
(n) > u
c
(n). This implies that the UI effect inferred
from the comparison of u (n) with ˆu
c1
(n) will understate the magnitude of the effect of UI
extensions.
On the other hand, insofar as the late entries reflect people cycling from unemployment
to non-participation and back, UI extensions that reduce the flow from unemployment into
non-participation would also likely reduce the number of subsequent late entries. This would
imply e
c
(n) > e (n) and ˆu
c2
(n) < u
c
(n), so a UI effect inferred from the comparison of u (n)
with ˆu
c2
(n) will likely overstate the magnitude of the effect of UI extensions on employment.
Thus, there is reason to think that the two counterfactuals should bracket the true effect of
UI extensions (assuming, of course, that the effects of UI extensions on exit hazards obtained
from the specifications in Section 5 are accurate).
29
6.3 Results
Figure 8 presents the two counterfactual simulations of the number of unemployed, using the
model from Table 5, Column 2 to construct p and p
c
and aggregating across all durations
at each point in time. The solid line shows the actual, non-seasonally-adjusted counts from
the monthly CPS. The two counterfactual simulations ˆu
c1
and ˆu
c2
are plotted as short and
long dashes, respectively. Counterfactual approach 1 indicates essentially no effect of the UI
extensions, making the short-dashed line hard to distinguish from the solid “actual” series.
29
State-by-month level estimates of E (n) and e (n) are extremely noisy. However, national-level monthly
estimates can be obtained by aggregating across states. The time-series relationship between
ˆ
E (n) and
UI benefit durations is robustly negative, consistent with the view that method 1 understates the effect of
UI extensions. The estimated relationship between ˆe (n) and benefit durations is weaker and generally not
statistically significant.
33
Counterfactual approach 2 offers only a slightly different conclusion, suggesting that the UI
extensions increased unemployment in 2010 and early 2011 by about 2.6%.
Table 8 presents more results from the simulations, using each of my four main strategies
to generate predicted exit hazards and then simulating aggregate unemployment and the
long-term unemployment share in January 2011.
30
The first specification is the one graphed
in Figure 8, using a cubic in the state unemployment rate to absorb endogeneity in the
availability of extended UI benefits. The second specification uses the comparison of job-
losers to job-leavers reported in Table 3, Column 6 to generate the exit hazards. Third,
I use the control function specification from Table 5, Column 5 identified from state
decisions about whether and how to participate in the EB program. Finally, I use the
time-to-exhaustion model from Table 7, Row 3.
The estimates indicate that UI extensions raised the number of unemployed in January
2011 by between 5,000 and 759,000, the unemployment rate by 0.1 to 0.5 percentage points,
and the long-term unemployment share by between 0.3 and 2.8 percentage points. In each
case the largest estimates come from counterfactual method 2 and the control function
specification; leaving these out, the upper end of the ranges are 370,000 unemployed, 0.2
percentage points on the unemployment rate, and 1.6 percentage points of long-term unem-
ployment. These are much smaller effects than are indicated by the extrapolations discussed
in Section 2.4.
The lower panel of Table 8 presents an alternative and more speculative set of counter-
factual simulations. An important question regarding the effects in Panel B of Table 8 is
whether the effect of UI extensions on unemployment reflects reduced job search behavior
or simply reduced labor force exit. As a first effort to assess this, I re-run the simulations,
turning off the effects of UI on the propensity to become reemployed and retaining only
the effects on the labor force exit propensity. Specifically, let X
ist
be the observed values
of the explanatory variables and let β
e
and β
n
be the full vectors of covariates from the
employment and non-participation equations, respectively, of the multinomial logit model.
30
I count anyone unemployed 6 months or more as long-term unemployed. This means that I generally
include people who report being unemployed for exactly 26 weeks on the survey date, where the BLS long-
term unemployment definition uses durations of 27 weeks or more. This accounts for the discrepancy between
the baseline long-term unemployment rate in Table 8 and the published rate of 42.2%.
34
The one-period survival probability is then p
ist
= [1 + exp (X
ist
β
e
) + exp (X
ist
β
n
)]
1
and
the counterfactual survival probability used for the simulations in Panel B of Table 8 is
p
c
ist
= [1 + exp (X
c
ist
β
e
) + exp (X
c
ist
β
n
)]
1
, where X
c
ist
represents the explanatory variables
in the counterfactual scenario where benefits are fixed at 26 weeks. In Panel C, I use instead
p
c
0
ist
= [1 + exp (X
ist
β
e
) + exp (X
c
ist
β
n
)]
1
. Comparisons of simulations based on p
ist
and
p
c
0
ist
reveal how much of the overall effect revealed by the p
ist
-p
c
ist
comparison is due to labor
force exit. The results in Panel C indicate that just turning off the effect of UI extensions
on labor force exit reduces unemployment by more than half as much as did turning off
both UI effects in Panel B.
31
In other words, the majority of the effect of UI extensions
on overall unemployment and on long-term unemployment operates through the labor force
exit channel, by keeping people in the labor force who would otherwise have exited, rather
than through reduced reemployment rates.
These last results must be interpreted with some caution, as they rest importantly on the
assumption of independent risks. With this assumption, an individual who is dissuaded from
exiting the labor force in one month has approximately a 13% chance of becoming reemployed
the next month, the same as would an individual who never considered abandoning his job
search. This is probably not realistic; one might expect that the unemployed with the worst
employment prospects are the most likely to exit the labor force. Thus, the results in Table
8, Panel C might overstate the share of the UI effects that is attributable to labor force exit
decisions. Even so, it is clear from Panel B alone that any negative reemployment effect
must be small.
7 Discussion
The design of unemployment insurance policy trades off generosity to workers who have
experienced negative shocks against the disincentive to return quickly to work created by
the availability of generous non-work benefits. In bad economic times, displacement from a
job is a much larger shock, as it can take much longer to find new work. Moreover, insofar
as weak labor markets reflect a shortage of labor demand, the negative consequences of
31
I do not report estimates for Strategy 2 in Panel C, as the multinomial logit version of this specification
is computationally intractable.
35
reduced search effort among the unemployed may be relatively small.
32
It thus stands to
reason that one might want to extend unemployment insurance benefit durations during
bad times (Landais et al., 2010; Kroft and Notowidigdo, 2011; Schmieder et al., 2011). Such
extensions can have macroeconomic benefits as well, as the unemployed likely have a high
marginal propensity to consume and UI payments thus have relatively large multipliers
(Congressional Budget Office, 2010).
However, the advisability of long UI extensions depends importantly on the view that
the reduced job search induced by these extensions will not overly slow the labor market
matching process. Many commentators have argued that the 99 weeks of benefits available
through the EUC and EB programs in 2010 and 2011 have gone too far, some pointing to
the apparent outward shift of the Beveridge Curve in 2010 (Elsby et al., 2010) as evidence
that UI extensions have reduced labor supply sufficiently to noticeably slow the recovery of
the labor market.
It is ultimately an empirical question whether UI extensions lead to large reductions
in job finding. But the effect of extensions on job finding rates is hard to identify, because
extensions are usually implemented in response to poor labor market conditions. Fortunately
for the researcher (if not for UI recipients themselves), the haphazard way that the EUC
program was gradually expanded and then repeatedly renewed generates a great deal of
variation in benefit availability that is plausibly exogenous to the demand conditions that
otherwise confound efforts to estimate the benefit duration effect.
Using a variety of comparisons that isolate different components of the variation in benefit
availability, I find that extended benefits do reduce the rate at which unemployed workers
reenter employment. But the reductions are small, in most specifications smaller than effects
of extended benefits on labor force exit and always much smaller than what one would have
expected based on older estimates in the literature. The two effects both lead to increases
in measured unemployment, but combined they have raised the unemployment rate by only
about 0.2 percentage points, implying that the vast majority of the 2007–2009 increase in the
unemployment rate was due to demand shocks rather than to UI-induced supply reductions.
32
See, e.g., Kroft and Notowidigdo (2011). Schmieder et al. (2011) find evidence in Germany, however,
that the reemployment effect of UI durations is relatively constant across the business cycle.
36
Moreover, less than half of the small UI effect comes from reduced reemployment rather
than from reduced non-participation (i.e., from increased labor supply).
Any negative effects of the recent unemployment insurance extensions on job search are
clearly quite small, too small to outweigh the consumption-smoothing and equity-promoting
benefits of UI (Gruber, 1997). The latter are likely to be particularly large when the marginal
recipients have been out of work for over a year in conditions where job-finding prospects are
bleak. Moreover, the estimates herein should be seen as reflecting the partial equilibrium
effects of UI, as they do not account for search externalities when jobs are scarce, a job
claimed by one searcher reduces the probability that other searchers will find employment.
33
Incorporating these spillovers would make extensions more attractive, as reduced job search
among a subset of the unemployed would not translate one-for-one into reduced employment
but would rather simply shift jobs from the UI recipients to other job seekers (Landais et
al., 2010). The evidence here thus supports the view that optimal UI program design would
tie benefit durations to labor market conditions, to give displaced workers realistic chances
of finding new employment before their benefits expire.
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Appendix: Proofs of propositions
All proofs are by induction.
Proof of Proposition 1. An individual’s decision problem in state d > 0, holding search effort
for all lower d fixed, is to choose s to maximize
V
U
(s, d) = u (y
0
+ b) s + δ [p (s) V
E
+ (1 p (s) V
U
(d 1))] .
The optimal s is labeled s
d
, and by definition satisfies V
U
(s
d
, d) = V
U
(d).
Note that the maximization problem is identical when d = 1 as when d = 0. (Compare
equation (1), evaluated at d = 1, with the problem in note 7 they differ only by an
additive term u (y
0
+ b) u (y
0
) > 0 that is invariant to search effort.) Thus, s
1
= s
0
and
V
U
(1) V
U
(0) > 0. Second, assume V
U
(x) > V
U
(x 1) for some x > 0. Then
V
U
(x + 1) V
U
(x) = V
U
(s
x+1
, x + 1) V
U
(s
x
, x)
V
U
(s
x
, x + 1) V
U
(s
x
, x)
= δ (V
U
(x) V
U
(x 1)) (1 p (s
x
)) > 0. (12)
Thus, V
U
(d + 1) > V
U
(d) for all d.
Proof of Proposition 2. See above for s
1
= s
0
. For d 1, s
d
satisfies the first order condition
p
0
(s
d
) =
1
δ(V
E
V
U
(d1))
. Proposition 1 thus implies that p
0
(s
d+1
) < p
0
(s
d
), so p
00
(s) < 0
implies s
d+1
> s
d
.
Proof of Proposition 3. Let ˜s
d
= arg max
s
˜
V
U
(s, d), where
˜
V
U
(s, d) =
(
u (y
0
+ b) s + δ [p (s) V
E
+ (1 p (s) V
U
(d 1))] if s θ
u (y
0
) s + δ [p (s) V
E
+ (1 p (s) V
U
(d))] if s < θ,
and let η
d
= 1 (˜s
d
θ). I show that η
d+1
6= η
d
for any d > 0 yields a contradiction. Without
loss of generality, suppose that η
d
= η
d1
= · · · = η
0
; this merely means that we have chosen
the smallest d such that η
d+1
6= η
d
.
Begin by considering the case where η
d
= 1, so ˜s
x
θ for all x d. Then an argument
identical to that above implies that the search requirement is never binding: ˜s
1
= ˜s
0
and
for all x > 0,
˜
V
U
(x + 1)
˜
V (x) > 0 and ˜s
x+1
> ˜s
x
. In particular, ˜s
d+1
> ˜s
d
, so η
d+1
= 1.
40
Next, suppose that η
d
= 0 but η
d+1
= 1. The former implies that
˜
V
U
(x) = max
s<θ
u (0) s + δ
h
p (s) V
E
+
1 p (s)
˜
V
U
(x)
i
= max
s<θ
u (0) s + δp (s) V
E
1 δ (1 p (s))
(13)
for all 0 x d. Note that the right-hand side of (13) does not vary with x, so the left
side does not either. In particular,
˜
V
U
(d) =
˜
V
U
(d 1). Moreover, because labor force exit
with s = ˜s
d
< θ is a feasible option with d + 1 weeks of benefits available, it must be the
case that
˜
V
U
(d + 1) >
˜
V
U
(d). Next, note that
˜
V
U
(d) <
˜
V
U
(d + 1)
=
˜
V
U
(˜s
d+1
, d + 1)
= u (b) ˜s
d+1
+ δ
h
p s
d+1
) V
E
+
1 p (˜s
d+1
)
˜
V
U
(d)
i
=
˜
V
U
(˜s
d+1
, d) + δ (1 p (˜s
d+1
))
˜
V
U
(d)
˜
V
U
(d 1)
<
˜
V
U
(d) + δ (1 p s
d+1
))
˜
V
U
(d)
˜
V
U
(d 1)
, (14)
where the final inequality follows from a revealed preference argument for benefit duration
d. This implies that
˜
V
U
(d) >
˜
V
U
(d 1), a contradiction.
There are thus only three possible values for the η
d
sequence: η
d
= 1 for all d 0; η
d
= 0
for all d 0; or η
d
=
(
0 if d = 0
1 if d > 0
. Unemployment to non-participation transitions thus
occur only when benefits are exhausted; benefit extensions will delay these transitions for
those who would otherwise have exhausted their benefits.
41
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0 .1 .2 .3 .4 .5
Long-term unemployment share
0 .02 .04 .06 .08 .1
Unemployment rate
2004 2005 2006 2007 2008 2009 2010 2011
Year
Unemployment rate (L axis)
Long-term unemp. share (R axis)
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Monthly flows (1,000s)
2004 2005 2006 2007 2008 2009 2010 2011
Year
Quits (JOLTS) E-U flows (CPS)
Layoffs/discharges (JOLTS)
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0 .1 .2 .3
Monthly outflow as share of
previous month's unemployed
0 2000 4000 6000
Monthly flows (1,000s)
2004 2005 2006 2007 2008 2009 2010 2011
Year
Hires (JOLTS), L. axis U-E flow rate (CPS), R. axis
U-N flow rate (CPS), R. axis
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0 10 20 30 40 50
Number of states with EB benefits
2008 2009 2010
Date
Actual
With minimal laws
With maximal laws
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2008 2009 2010 2011
Year
Maximum state
0 26 39 52 66 79 99
2008 2009 2010 2011
Year
Statute
Expectation if at 26 weeks
Expectation if newly displaced
Average state
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Monthly unemployment exit hazard
2004 2005 2006 2007 2008 2009 2010
Base month
All Unemp. 0-13 wks
Unemp. 26+ wks
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Relative log odds
0102030
Weeks until exhaustion of benefits
Parametric
Nonparametric
Reemployment
-.75 -.5 -.25 0 .25
Relative log odds
0102030
Weeks until exhaustion of benefits
Labor force exit
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0 5 10 15 20
Months since start of unemployment spell
Cross-sectional
Kaplan-Meier (persistent exits)
Kaplan-Meier (all exits)
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Unemployment (millions)
2007 2008 2009 2010
Date
Actual Counterfactual simulation 1
Counterfactual simulation 2
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&
&
Date
I II III IV
(1) (2) (3) (4) (5)
Jun. 30, 2008 13 Mar. 28, 2009
Nov. 21, 2008 20 13 C Mar. 28, 2009
Feb. 17, 2009 20 13 C Dec. 26, 2009
Nov. 6, 2009 20 14 13 C 6 H Dec. 26, 2009
Dec. 19, 2009 20 14 13 C 6 H Feb. 28, 2010
Feb. 28, 2010 0 0 0 0 n/a
Mar. 2, 2010 20 14 13 C 6 H Apr. 5, 2010
Apr. 5, 2010 0 0 0 0 n/a
Apr. 15, 2010 20 14 13 C 6 H Jun. 2, 2010
Jun. 2, 2010 0 0 0 0 n/a
Jul. 22, 2010 20 14 13 C 6 H Nov. 30, 2010
Nov. 30, 2010 0 0 0 0 n/a
Dec. 17, 2010 20 14 13 C 6 H Jan. 3, 2012
Scheduled EUC
expiration
Weeks available under EUC Tier
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Job
losers
Job leavers /
entrants /
reentrants
Job
losers
Job leavers /
entrants /
reentrants
(1) (2) (3) (4)
N 95,485 77,913 77,813 61,105
Share matched to one follow-up interview 91% 91% 100% 100%
Share matched to two follow-up interviews 85% 83% 100% 100%
Unemployment duration (spells in progress)
Average (weeks) 22.7 21.8 23.1 22.2
Share 0-13 weeks 54% 59% 54% 59%
Share 14-26 weeks 17% 15% 17% 15%
Share 27-98 weeks 23% 20% 24% 20%
Share 99+ weeks 5% 6% 5% 6%
Share exiting unemployment by next month
Counting all exits (1+ follow-ups)
Total 39% 52% 38% 51%
To employment 23% 20% 23% 20%
Out of labor force 15% 32% 15% 31%
Not counting U-N-U or U-E-U transitions (2+ follow-ups)
Total 30% 42% 29% 41%
To employment 20% 18% 20% 18%
Out of labor force 10% 24% 10% 24%
Anticipated weeks of unemployment benefits
Total 43.9 -- 44.2 --
Remaining 24.1 -- 24.0 --
Total (anticipating EUC reauthorization) 56.7 -- 57.0 --
State unemployment rate 7.7% 6.9% 7.7% 6.9%
All unemployed
Subsample with 2+
follow-up interviews
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46</&62!(&6&3(J!6!B'462'546<</'7!/0&'<61&/%0J!607!6=',!'7316&/%0,!607!C<'530'4C2%?4'0&!
/073(&<?!7344/'(!P8,!H,!607!."!16&'=%</'(,!<'(C'1&/;'2?Q9!!T''!&'@&!B%<!7'(1</C&/%0!%B!&>'!
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N>/2'!1%2340(!8!607!+,!N>/1>!6<'!'(&/46&'7!E?!1%07/&/%062!2%=/&,!3('!&>'!6;'<6='!XUT!
N'/=>&!/0!&>'!(&6&'54%0&>!1'229!!:22!(&6076<7!'<<%<(!6<'!123(&'<'7!6&!&>'!(&6&'!2';'29!
!
(1) (2) (3) (4) (5) (6) (7)
Panel A: Constant effect of UI across all durations
-0.33 -0.27 -0.31 -0.34 -0.37 -0.15 -0.19
(0.10) (0.10) (0.10) (0.10) (0.10) (0.10) (0.10)
-2.1 p.p. -1.7 p.p. -1.9 p.p. -2.1 p.p. -2.3 p.p. -0.9 p.p. -1.2 p.p.
Controls
State FEs Y Y Y Y Y
Month FEs Y Y Y Y Y
State-by-month FEs Y Y
Unemp duration controls Y Y Y Y Y Y Y
State unemployment rate linear cubic cubic cubic
State insured unemp rate cubic cubic
State new UI claims rate cubic cubic
State employment growth rate cubic cubic
Individual covariates Y Y
Job loser indicator Y Y
Unemployment duration X job loser Y Y
Unemployment rate X job loser Y Y
# of weeks of benefits if elig. Y Y
Panel B: Allowing effect to vary by individual unemployment duration
Weeks of benefits (/100) X
0.08 0.20 0.13 0.10 0.10 -0.11 -0.13
unemployed < 26 weeks
(0.15) (0.15) (0.15) (0.14) (0.14) (0.19) (0.19)
Weeks of benefits (/100) X
-0.37 -0.30 -0.34 -0.36 -0.40 -0.19 -0.23
unemployed 26+ weeks
(0.09) (0.10) (0.09) (0.09) (0.09) (0.10) (0.11)
-1.5 p.p. -1.0 p.p. -1.3 p.p. -1.4 p.p. -1.6 p.p. -1.0 p.p. -1.3 p.p.
Sample is job-losers
Effect of UI extensions on
avg. exit hazard in 2010:Q4
Effect of UI extensions on
average exit hazard in
2010:Q4
# of weeks of UI benefits
(/100)
Sample is all
unemployed
!
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!
&
(1) (2) (3) (4) (5)
Panel A: Constant effect of UI across all durations
Weeks of benefits (/100) X
0.13 -0.08 0.07 0.02 -0.12
unemployed < 26 weeks
(0.15) (0.17) (0.20) (0.26) (0.22)
Weeks of benefits (/100) X
-0.34 -0.44 -0.43 -0.48 -0.62
unemployed 26+ weeks
(0.09) (0.17) (0.19) (0.34) (0.27)
Weeks of benefits (/100) X -0.20
UE<26 weeks X
(0.62)
abs(expectations range)
Weeks of benefits (/100) X -0.62
UE<26 weeks X
(0.39)
abs(expectations range)
-1.3 p.p. -3.0 p.p. -1.8 p.p. -2.1 p.p. -3.1 p.p.
Controls
State FEs Y Y Y Y Y
Month FEs Y Y Y Y Y
Unemp duration controls Y Y Y Y Y
State unemployment rate cubic cubic cubic cubic cubic
Forecast EUC reauthorization? N Y N N N
EUC weeks available Y Y
EB trigger status Y
EB availability under alternative rules Y
Effect of UI extensions on
average exit hazard in 2010:Q4
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T3, C1 T3, C3 T3, C5 T4, C3 T4, C5
(1) (2) (3) (4) (5)
Reemployment
Weeks of benefits (*100) X
0.19 0.24 0.18 0.48 0.01
unemployed < 26 weeks
(0.19) (0.19) (0.19) (0.24) (0.33)
Weeks of benefits (*100) X
-0.44 -0.42 -0.47 -0.29 -0.64
unemployed 26+ weeks
(0.13) (0.14) (0.14) (0.21) (0.37)
Labor force exit
Weeks of benefits (*100) X
-0.19 -0.12 -0.11 -0.41 -0.32
unemployed < 26 weeks
(0.21) (0.21) (0.21) (0.45) (0.26)
Weeks of benefits (*100) X
-0.38 -0.34 -0.42 -0.55 -0.58
unemployed 26+ weeks
(0.13) (0.13) (0.15) (0.37) (0.34)
Effect of extensions on average hazards in 2010:Q4
Reemployment -0.6 p.p. -0.5 p.p. -0.7 p.p. 0.2 p.p. -1.2 p.p.
Labor force exit -1.2 p.p. -1.0 p.p. -1.2 p.p. -2.0 p.p. -1.8 p.p.
Specification & sample
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'(&-7+&'(!-.!0%,97.(!:!+.D!O!-.D-0+&'!(/'0-1-0+&-%.(!35'6'!&5'!HI!'11'0&(!3'6'!U%-.&,F!
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!
Avg.
hazard in
2010:Q4
Effect of UI
extensions
Avg.
hazard in
2010:Q4
Effect of UI
extensions
(1) (2) (3) (4)
Alternative specifications & samples
(1) Baseline 13.4% -0.5 p.p. 9.0% -1.0 p.p.
(2) Separate effect on 26 wks 13.4% -0.5 p.p. 9.0% -1.0 p.p.
(3)
Drop round number & inconsistent
durations
12.8% -0.5 p.p. 7.9% -1.5 p.p.
(4)
Drop very short durations 14.2% +0.1 p.p. 9.6% -1.1 p.p.
(5) Count all UE exits 16.5% -0.6 p.p. 13.7% -1.3 p.p.
Subsamples
Age
(6) Age 25-54 (N=53,104) 14.4% -1.0 p.p. 7.5% -1.8 p.p.
(7) Age 55+ (N=13,990) 11.6% +1.4 p.p. 9.7% +0.5 p.p.
Gender
(8)
Men (N=47,782) 13.7% -0.2 p.p. 7.3% -1.2 p.p.
(9)
Women (N=30,031) 13.0% -1.0 p.p. 11.7% -0.8 p.p.
Education
(10)
HS or less (N=43,628) 13.3% -0.4 p.p. 10.0% -1.8 p.p.
(11)
Some college or more (N=34,185) 13.7% -0.5 p.p. 7.8% -0.1 p.p.
Industry
(12)
Const./manuf. (N=25,584) 14.2% +0.4 p.p. 7.4% -2.1 p.p.
(13)
All other industries (N=52,229) 13.1% -0.9 p.p. 9.7% -0.4 p.p.
Reemployment
Labor force exit
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Any weeks
left
# of
weeks left
max(0,
# of weeks -
10)
Effect of UI
extensions in
2010:Q4
(/10) (/10) (p.p.)
(1) (2) (3) (4)
Logit for unemployment exit
(1) 0.12 -0.36 0.39 -0.7 p.p.
(0.08) (0.10) (0.11)
(2) 0.10 -0.33 0.37 -0.5 p.p.
(0.08) (0.11) (0.12)
(3) Multinomial logit with state, month, UR controls
Reemployment -0.03 -0.29 0.35 -0.0 p.p.
(0.11) (0.13) (0.14)
Labor force exit 0.20 -0.36 0.35 -0.6 p.p.
(0.10) (0.12) (0.13)
Logit for unemployment exit
with state, month, UR controls
Logit for unemployment exit
with state-by-month controls
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Method 1
Method 2 Method 1 Method 2 Method 1 Method 2
(1) (2) (3) (4) (5) (6)
Panel A: Baseline
Actual in January 2011
Panel B: Full effect of UI extension
Strategy 1 (Table 5, Col. 2) +87 +370 +0.1 p.p. +0.2 p.p. +0.5 p.p. +1.6 p.p.
Strategy 2 (Table 3, Col. 6) +131 +297 +0.1 p.p. +0.2 p.p. +0.3 p.p. +0.9 p.p.
Strategy 3 (Table 5, Col. 5) +283 +759 +0.2 p.p. +0.5 p.p. +0.9 p.p. +2.8 p.p.
Strategy 4 (Table 7, Row 3) +5 +226 +0.0 p.p. +0.1 p.p. +0.6 p.p. +1.5 p.p.
Panel C: Effect operating through labor force participation
Strategy 1 (Table 5, Col. 2) +98 +264 +0.1 p.p. +0.2 p.p. +0.3 p.p. +0.9 p.p.
Strategy 3 (Table 5, Col. 5) +183 +476 +0.1 p.p. +0.3 p.p. +0.5 p.p. +1.6 p.p.
Strategy 4 (Table 7, Row 3) +92 +208 +0.1 p.p. +0.1 p.p. +0.3 p.p. +0.8 p.p.
Level (1,000s)
Rate
Long-term unemp.
share
Unemployment
14,937
9.0%
45.5%