Can tax cuts restore economic growth in bad times?
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1 Can tax cuts restore economic growth in bad times? Alex Ziegenbein Universitat Pompeu Fabra & Barcelona GSE SAEe December 14, 217
2 Background Tax cuts often implemented to bring output back to potential Recent evidence: large effects of tax cuts on GDP on average Romer & Romer (21), Mertens & Ravn (211, 212, 214), Favero & Giavazzi (212), Perotti (212) No evidence how these effects vary over the business cycle This paper: can tax cuts restore growth during bad times?
3 Background When are tax multipliers large? 1. Wealth effect: tax cut stimulates aggregate demand Effect large when crowding-out small 2. Substitution effect: tax cut stimulates labor supply Effect large when labor market tightness / hiring cost high
4 This paper Study state-dependent effects of tax shocks using US data Main findings: Good times: tax shocks have large effects on output Bad times: tax shocks have small and insignificant effects Holds for two leading identification strategies Holds for variety of alternative specifications Holds for both personal and corporate income tax shocks
5 Contributions 1. New empirical finding Good times: tax shocks have large effects on output Bad times: tax shocks have small and insignificant effects 2. Search & matching model with endogenous search effort Unemployment low: tax shocks have large effects on output Unemployment high: tax shocks have small effects on output
6 Empirical framework Two components 1. Local projections (Jordá, 25) Estimates more robust to model misspecification than in VAR No assumption needed on how the shock affects the state 2. Key identification assumption Narrative measure correlates with latent tax shock Narrative measure is uncorrelated with other structural shocks
7 Narrative measure of tax shocks : 1947Q16Q4 Romer & Romer, 21 Exogenous Tax Changes (% of GDP) RR t : 45 shocks, RR =, SD(RR) =.5, 25 positive, 2 negative
8 Linear specification Two-stage least squares ATR t = a + brr t + c h z t 1 + e t x t+h = α h + β h ÂTR t + γ h z t 1 + u t+h x t = {Y t, G t, ATR t } I add four lags of G, Y, ATR t for efficiency G and Y in logs (allow for quadratic trend)
9 Linear specification Impulse responses Y (ppt) G (ppt) ATR (ppt)
10 State-dependent specification x t+h = I t 1 [ α B h + βb h ÂTR t + γ h B z t ] + (1 I t 1 ) [ ] αh G + βg h ÂTR t + γ h G z t + u t+h Now I t 1 RR t is an instrument for I t 1 ɛ T t Baseline slack measure from Ramey & Zubairy (216) I t 1 = { 1 if U t 1 6.5% if U t 1 < 6.5%
11 Narrative measure and economic slack Exogenous Tax Changes (% of GDP) Unemployment Rate Good times: 26 tax changes, sd(rr) =.5, pos. 12, neg. 14 Bad times: 19 tax changes: sd(rr) =.5, pos. 13, neg. 6
12 State-dependent specification Impulse responses 2 Bad Times 2 Good Times Y (ppt) G (ppt) ATR (ppt) Linear LP Linear LP
13 Effects on other macro variables Bad Times Good Times C (ppt) I (ppt) L (ppt) W (ppt) Linear LP Linear LP
14 Understanding the state-dependent effects of tax shocks Intuition Focus on household reaction to income taxation 74% of federal tax revenue from income taxes Main effect is a substitution effect (Barro & Redlick, 211) Good times: labor market is tight, difficult to fill vacancies Tax cut can reduce tightness and increase hiring Bad times: labor demand depressed, easy to fill vacancies Tax cut incentivizing labor supply is ineffective
15 Search & matching with endogenous job-search effort Mechanism & empirical evidence Good times: labor demand high / unemployment low Good times: hiring cost is high / search frictions matter Landais, Michaillat & Saez (216) Income tax cut jobseekers job-search effort Gentry & Hubbard (24) Search effort tightness & hiring cost employment Crepon, Duflo, Gurgand, Rathelot, Zamora (213), Gautier, Rosholm, Svarer, van der Klaauw (212) Search effort has large effect when search frictions matter Small effect in bad times & large effect in good times Toohey (217)
16 Search & matching with endogenous job-search effort Steady-state equilibrium " #, = # ', -,. (-) (-) (+) { { { # $ = # ', ) $ (+) (+) { { Labor market tightness $ $ = $ ', *+ (+) (+) { { Employment!
17 Good times and bad Comparative steady-states analysis Good times: high A steady-state, labor demand is high Bad times: low A steady-state, labor demand is low As in Hall (25) the wage is fixed I compare effects of tax cut in low A and high A steady-state
18 Effect of a tax cut " Bad times, low A # " Good times, high A # Labor market tightness d! Labor market tightness %! dθ dθ Employment! Employment!
19 Tax multiplier Tax multiplier is increasing in A M dl dτ = Ls τ (ɛ s /ɛ d ) L and θ higher in high A steady-state ɛ s ( L s / θ) (θ/l s ) > decreasing in A L s steeper in high A steady-state ɛ d ( L d / θ) (θ/l d ) > increasing in A L d flatter in high A steady-state L s / τ > is increasing in A Effect of τ on s is high, when f (θ) is high
20 Discussion Main findings: Good times: tax shocks have large effects on output Bad times: tax shocks have small and insignificant effects Interpretation: Bad times: search frictions do not matter much An income tax cut incentivizes search effort & is ineffective Policy should address low labor demand (payroll tax) Calibrated version of the model: Effect of a tax cut triples when u t moves from 8% to 5%
21 Example tax changes Exogenous long-run growth Tax cuts in 1948 passed over Truman s veto Kennedy-Johnson tax cuts 1964 Reagan tax cuts 1981 Bush tax cuts 21 & 23 Exogenous deficit-reduction Social security amendments 1982/83 Omnibus Reconciliation Act Endogenous countercyclical Nixon tax cuts 1971 Ford tax changes 1975 Bush tax cuts 21/22 Endogenous government-spending Korea war 1951
22 Blanchard & Perotti (22) identification Linear specification X t = AX t 1 + u t u t = Cɛ t Σ u = CΣ ɛ C X t = [T t, G t, Y t ]. c 21 = c 23 = Output elasticity of taxes c 13 = 2.4 from OECD data
23 Blanchard & Perotti (22) identification State-dependent specification X t = I t 1 A B X t 1 + (1 I t 1 )A G X t 1 + u t u t = I t 1 C B ɛ t + (1 I t 1 )C G ɛ t Σ t = I t 1 Σ B + (1 I t 1 )Σ G X t = [T t, G t, Y t ]. c B 23 = cg 23 = cb 21 = cg 21 = Output elasticity for two subsamples: c B 13 =.7, cg 13 = 2.8
24 Blanchard & Perotti (22) identification Results 8 Bad Times Linear VAR 8 Good Times Linear VAR T (ppt) G (ppt) Y (ppt)
25 Peak effects of a tax shock on output Alternative identification Table 2: Peak e ect of a tax shock on output (in percent) Romer & Romer Narrative Approach Local Projections-IV Blanchard & Perotti Structural VAR (1) (2) Linear Model.3*** -1.61** min(ˆ h) (.68) (.62) Bad Times min(ˆ h B ) (1.34) (.75) Good Times -3.54***.68*** min(ˆ h G ) (1.) (.73) Di erence 3.2** 2.21* min(ˆ h B )-min(ˆ h G ) (1.54) (1.19) Peak e ects of a tax shock on real GDP (in percent). Standard errors in parentheses. *, **, *** indicates statistical significance at the 1%, 5% and 1% level, respectively. (1) is the baseline specification: tax shocks are identified using the narrative approach. Estimates are from the linear local projections in Equation 1 and the state-dependent local projections in Equation 3. (2) tax shocks are identified using the BP structural VAR approach. Estimates are from the linear VAR model in Equation 4 and the state-dependent VAR in Equation 7.
26 Alternative state variable Baseline: I t = 1 if U t 6.5% HP-filtered: I t = 1 if U t U n t U n t from HP-filter with λ = 1 x and x = {3, 5, 7}. NBER recession dates Auerbach & Gorodnichenko (212) smooth transition function I t = F (s t ) = exp( νst) 1+exp( νs t) s t is standardized seven-month MA of output growth ν = 1.5 implies economy spends 2% of time in recession
27 Alternative state variable Continuous unemployment rate x t+h = a h +β 1 hâtrt +β2 hu t 1 ÂTRt +γ h 1 z t 1 +γ h 2 U t 1 z t 1 +κu t 1 +u t+h ) θh (β G = h 1 + β2 h (Ũ σ U) σ τ ) θh (β B = h 1 + β2 h (Ũ + σ U ) σ τ.
28 Peak effects of a tax shock on output Peak e ects of a tax shock on real GDP (in percent). Standard errors in parentheses. *, **, *** indicates statistical significance at the 1%, 5% and 1% level, respectively. (1) is the baseline specification: tax shocks are identified using the narrative approach. Estimates are from the linear local projections in Equation 1 and the state-dependent local Alternative state variable projections in Equation 3. (2) tax shocks are identified using the BP structural VAR approach. Estimates are from the linear VAR model in Equation 4 and the state-dependent VAR in Equation 7. Table 3: Peak e ect of a tax shock on output (in percent): alternative state variables U 6.5% UHP UHP UHP NBER =1 3 =1 5 =1 7 Dates Smooth Trans. U Cont. (1) (2) (3) (4) (5) (6) (7) Linear Model.3***.3***.3***.3***.3***.3***.3*** min(ˆ h) (.68) (.68) (.68) (.68) (.68) (.68) (.68) Bad Times ** * -.71 min(ˆ h B ) (1.34) (.75) (.78) (.64) (.84) (.79) (1.43) Good Times -3.54*** -4.37*** -3.46** -4.84*** -3.4*** -3.96*** -3.75*** min(ˆ h G ) (1.) (1.35) (1.35) (1.9) (.9) (1.31) (1.12) Di erence 3.2** 3.59** ** 3.65** 2.62* 3.4** min(ˆ h B )-min(ˆ h G ) (1.54) (1.55) (1.75) (1.26) (1.23) (1.53) (1.55) Peak e ects of a shock on real GDP (in percent). Standard errors in parentheses. *, **, *** indicates statistical significance at the 1%, 5% and 1% level, respectively. (1) uses the baseline state variable. The discrete threshold that separates bad and good times is an unemployment rate of 6.5%. (2) The threshold is the HP-filtered trend unemployment rate using a smoothing parameter of =1 3.(3)ThethresholdistheHP-filteredtrendunemployment rate using =1 5. (4) The threshold is the HP-filtered trend unemployment rate using =1 7. (5) Bad times are NBER recession periods. (6) The state variable is the smooth transition function of past output growth. Estimates
29 Summary statistics are for non-zero observations of the tax shocks. (1) is the baseline state variable. The discrete threshold Distribution of exogenous tax changes Alternative state variable Table B.1: Distribution of tax shocks using alternative state indicators All Tax Shocks U 6.5% UHP UHP UHP NBER =1 3 =1 5 =1 7 Dates Smooth Transition U Continuous (1) (2) (3) (4) (5) (6) (7) Periods NShocks Mean Std. Dev Positive Negative Bad Times Periods NShocks Mean Std. Dev Positive Negative Good Times Periods NShocks Mean Std. Dev Positive Negative
30 Impulse responses Alternative state variable Bad Times Good Times 2 2 Y (ppt) -4 Baseline NBER dates Smooth Transition U continuous HP1 3 HP1 5 HP
31 Additional control variables 4 lags of log real federal government debt to the public 4 lags of monetary VAR variables FFR, log CPI, log non-borrowed reserves Fiscal foresight x t+h = α h + β h ÂTR t + K j= δ je t (τ t+j ) + γ h z t 1 + u t+h Implicit tax rate from Leeper et al. (211): E t (τ t+j ) = 1 Y M t+j Y t+j Defense stock returns from Fisher and Peters (21) News about future government spending from Ramey (211).
32 Peak effects of a tax shock on output Additional control variables Table 4: Peak e ect of a tax shock on output (in percent): additional control variables Baseline Control for Public Debt Control for Mon. Policy Control for Foresight Vars in Growth Rates (1) (2) (3) (4) (5) Linear Model.3***.52**.7**.51*** -1.57** min(ˆ h) (.68) (1.2) (.6) (.64) (.69) Bad Times min(ˆ h B ) (1.34) (1.29) (.64) (1.9) (.64) Good Times -3.54*** -3.67*** -3.5*** -3.59*** -3.28*** min(ˆ h G ) (1.) (1.12) (.99) (.96) (1.1) Di erence 3.2** 2.93* 2.41** 2.91** 2.46** min(ˆ h B )-min(ˆ h G ) (1.54) (1.71) (1.72) (1.45) (1.2) Peak e ects of a tax shock on real GDP (in percent). Standard errors in parentheses. *, **, *** indicates statistical significance at the 1%, 5% and 1% level, respectively. (1) uses the baseline set of control variables. (2) uses four lags of log real federal government debt as additional control variables. (3) uses four lags of the federal funds rate, the log CPI price level and log-non-borrowed reserves as additional control variables. (4) uses contemporaneous values and four lags of the implicit tax rate, defense stock returns and defense stock news as additional control variables. (5) uses the baseline specification but with variables expressed in annual growth rates instead of log levels. Estimates are from the
33 Impulse responses Additional control variables 2 Bad Times 2 Good Times Y (ppt) Baseline + Public Debt + Monetary Policy + Fiscal Foresight
34 Proxy SVAR Mertens & Ravn, 214 Linear proxy SVAR X t = AX t 1 + u t u t = Cɛ t X t = [T t, G t, Y t ] First row of C from regressing u t on RR t State-dependent proxy SVAR X t = I t 1 A B X t 1 + (1 I t 1 )A G X t 1 + u t u t = I t 1 C B ɛ t + (1 I t 1 )C G ɛ t Σ t = I t 1 Σ B u + (1 I t 1 )Σ G u.
35 Proxy SVAR Results 8 Bad Times Linear VAR 8 Good Times Linear VAR T (ppt) G (ppt) Y (ppt)
36 Augmented VAR Linear augmented VAR X t = CRR t + AX t 1 + u t X t = [T t, G t, Y t ] State-dependent augmented VAR [ ] X t = I t 1 C B RR t + A B X t 1 ]+(1 I t 1 ) [C G RR t + A G X t 1 +u t
37 Augmented VAR Results 8 Bad Times 8 Good Times T (ppt) Linear VAR 5 Linear VAR G (ppt) Y (ppt)
38 Truncated structural MA Romer & Romer, 21 Linear MA Y t = α + 12 h= θ h RR t h + u t State-dependent MA Y t = α + 12 h= [ ] I t 1 h θh B RR t h + (1 I t 1 h )θh G RR t h + u t
39 Truncated structural MA Results Y (ppt) Bad Times Linear MA Good Times Linear MA
40 of log real federal government debt as additional control variables. (3) uses four lags of the federal funds rate, the log Peak effects of a tax shock on output CPI price level and log-non-borrowed reserves as additional control variables. (4) uses contemporaneous values and four lags of the implicit tax rate, defense stock returns and defense stock news as additional control variables. (5) uses the baseline specification but with variables expressed in annual growth rates instead of log levels. Estimates are from the Alternative empirical models linear local projections in Equation 1 and the state-dependent local projections in Equation 3. Table 5: Peak e ect of a tax shock on output (in percent): alternative methods Baseline Proxy SVAR Augmented VAR Truncated MA (1) (2) (3) (5) Linear Model.3*** -1.22** -1.61** -1.95* min(ˆ h) (.68) (.6) (.67) (1.2) Bad Times min(ˆ h B ) (1.34) (.82) (.87) (1.2) Good Times -3.54***.52***.7*** -3.6*** min(ˆ h G ) (1.) (.73) (.72) (.78) Di erence 3.2** 2.18* 1.95* 2.52** min(ˆ h B )-min(ˆ h G ) (1.54) (1.1) (1.13) (1.28) Peak e ects of a tax shock on real GDP (in percent). Standard errors in parentheses. *, **, *** indicates statistical significance at the 1%, 5% and 1% level, respectively. (1) uses the linear local projections in Equation 1 and the statedependent local projections in Equation 3. (2) uses the linear proxy SVAR in Equation B.2 and the state-dependent proxy SVAR in Equation B.3. (3) uses the linear augmented VAR in Equation B.4 and the state-dependent VAR in Equation B.5. (4) uses the linear truncated MA in Equation B.6 and the state-dependent truncated MA in B.7.
41 Sign-dependent specification x t+h = a h + θ + h RR+ t + θ h RR t + γ h z t 1 + u t+h RR + t are tax increases RR t are tax reductions
42 Sign-dependent effects of tax changes Results Tax Increase Tax Reduction Y (ppt)
43 Personal and corporate income taxes Use decomposition of RR t from Mertens and Ravn (213) Personal Income Tax Unemployment Rate Tax Changes Unemployment Rate1 Corporate Income Tax Tax Changes PI: 6 in good, 8 in bad times CI: 11 in good bad times, 5 in bad times
44 Personal and corporate income taxes Use decomposition of RR t from Mertens and Ravn (213) Bad Times Good Times Personal Income Tax Y (ppt) 2-4 Linear VAR-LP Linear VAR-LP Corporate Income Tax Y (ppt)
45 Variables Table 1: Variable Description Variable Description Source Output (Y ) Nominal GDP divided by its implicit price deflator FRED Government spending (G) Average tax rate (AT R) Narrative tax measure (RR) Average personal income tax rate (AP IT R) Average corporate income tax rate (ACIT R) Narrative personal income tax measure (RR P ) Narrative corporate income tax measure (RR C ) Tax revenues (T ) Federal government consumption expenditures and gross investment divided by the GDP deflator. Nominal federal tax revenues minus transfers divided by nominal GDP. Narrative measure of exogenous tax changes. Federal personal income tax revenues including contributions to government social insurance divided by personal income tax base. Federal corporate income tax revenues divided by corporate income tax base. Narrative measure of exogenous personal income tax changes. Narrative measure of exogenous corporate income tax changes. Nominal federal tax revenues minus transfers divided by the GDP deflator. FRED FRED Romer and Romer (21) Mertens and Ravn (213) Mertens and Ravn (213) Mertens and Ravn (213) Mertens and Ravn (213) FRED Consumption (C) Consumers nominal expenditure divided by its deflator. FRED Investment (I) Private sector gross investment divided by its deflator. FRED Hours (L) Product of hours per worker and civilian non-farm employment divided by population. Combined with Francis and Ramey (22) hours worked series. Mertens and Ravn (212) Wage (W) Average hourly earning of private employees. FRED Unemployment rate (U) Civilian unemployment rate. FRED Public Debt Federal government debt held by the public divided by the GDP deflator. Favero and Giavazzi (212) Nonborrowed reservers Nonborrowed reserves. FRED Federal funds rate E ective federal funds rate. FRED Price level (CPI) Consumer price index for all urban consumers. FRED Implicit tax rate Expected future tax rate implied by tax exempt municipal bond yields and perfect arbitrage. Based on bonds with maturity of one year. Leeper et al. (211) Defense stock returns Accumulated excess returns of large U.S. military contractors. Fisher and Peters (21) Defense news Professional forecasters projections of the path of future military spending Ramey (211)
46 Alternative modeling approaches Standard RBC and NK model Generate little state-dependence Tax cut causes wage reduction counterfactual Real wage rigidities (Erceg, Henderson & Levin, 2) No labor supply decision If households choose L s at given wage extreme case of presented model Downward (nominal) wage rigidity Sign-dependent effects counterfactual Financially constrained households Larger effects in bad times (higher MPC)
47 Micro- and macroelasticity Landais et al. (216) conclude e m.5 and e M.3 1 ɛm ɛ m.4
48 Micro evidence Effect of higher search effort Crepon et al. (213): large scale experiment in France Randomization of search assistance over individuals and space Treated higher job-finding-prob. than untreated in same area Untreated in treated area lower job-finding prob. than untreated in untreated area Search effort employment and tightness Gautier et al. (212) find similar results in Denmark
49 Micro evidence State-dependent effects of higher search effort Toohey (217) studies effects of UI job-search-requirements Uses variation across US states and over time UI requires unemployed to contact a minimum number of employers per week Higher requirements higher search effort Search measured as contacted employers Search has larger effect on employment in good times
50 New Keynesian model A Symmetric equilibrium Aggregate labor demand from monopolists labor demand sµ t α L α 1 t = w t + r [ A t q(θ t ) β (1 λ) E Ct t At+1 C t+1 A t r q(θ t+1 ) Philips curve from monopolists optimal price setting equation π t (π t +1) = 1 γ Yt C t [ɛ µ t (ɛ 1)]+β E t [π t+1 (π t+1 +1)]. ].
51 New Keynesian model Combining budget constraints ( Y t = C t 1 + γ ) 2 π2 t + r A t q(θ t ) H t. Resources allocated to consumption, price adjustment, hiring Two exogenous disturbances log(a t ) = ρ A log(a t 1 ) + ɛ A t τ t τ = ρ τ (τ t 1 τ) + ɛ τ t,
52 Calibration Table 6: Calibration of the New Keynesian model Parameter Value Description Target/Source steady-state Targets A 1. Steady-state technology Michaillat (214) u.64 Steady-state unemployment Michaillat (214).43 Steady-state labor market tightness Michaillat (214) s 1 Steady-state job-search e ort Michaillat (214) Parameters.7 Elasticity of matching to unemployment Michaillat (214) r.21 Recruiting cost Michaillat (214).1 Job-destruction rate Michaillat (214).5 Elasticity of real wage to technology Michaillat (214) 1.5 Elasticity of monetary rule to inflation Michaillat (214) r.96 Elasticity of monetary rule to lagged interest rate Michaillat (214) 61 Price adjustment cost Michaillat (214) A.992 Autocorrelation of technology Michaillat (214).992 Autocorrelation of taxes Matches empirical impulse response function of the average tax rate to a tax shock.66 Marginal returns to labor Michaillat (214) Discount factor.999 Michaillat (214) 11 Elasticity of substitution across goods Michaillat (214) m.17 Matching e ectiveness Matches steady-state targets (Michaillat, 214)!.64 Real wage level Matches steady-state targets (Michaillat, 214) apple.22 Disutility from job search: convexity Landais et al. (2199a).33 Disutility from job search: level Matches steady-state targets (Landais et al., 2199a).26 steady-state labor income tax rate Matches estimate of the average e ective labor income tax rate by Mendoza et al. (1994)
53 Real wage rigidity w s,t = a s + νw s,t 1 + βu s,t + state dummies + e t ν 1 in the US Blanchard & Katz (1997), Card & Hyslop (1997) ν 1 in other OECD countries Bell (1996)
54 Optimal search effort Utility of representative worker at time t: (1 L s t) U(C u t ) + L s t U(C e t ) [1 (1 λ) L s t 1] Ψ(s t ) Chooses {s t } t= Takes {θ t } t=, {w t} t=, and {τ t} t= as given Subject to the probability of being employed in the next period L s t = (1 λ) L s t 1 + (1 (1 λ) L s t 1) s t f (θ t )
55 Optimal search effort The first-order-condition is Ψ (s t ) f (θ t ) β (1 λ) E Ψ (s t+1 ) t f (θ t+1 ) [1 s t+1 f (θ t+1 )] = U t Optimal search increasing and concave in θ t & U t Search path E t s t+1 /s t increasing in E t f (θ t+1 )/f (θ t ).
56 Cost of opening a vacancy Cost of opening vacancy proportional to A A1 Recruiting technology is independent of technology A2 Recruiting uses labor as unique input Appealing because recruiting time-intensive Pissarides (2), Shimer (21)
57 Local projections-iv First to use LP-IV Jorda, Schularick & Taylor (215) Effects of monetary policy Jorda & Taylor (216); Ramey & Zubairy Effects of government spending Stock & Watson (217) Theoretical underpinnings of LP-IV
58 Focus on search & matching framework Tax cuts affect output mainly through substitution effects Barrlo & Redlick (211) Tax cuts have positive effect on hours worked Keane (211) Most variation in hours is due to number of employed workers Pissarides (2), Shimer (21), Hall (25), Hall & Milgrom (28)
59 Additional evidence Effect of increase in utility gain from work Microelasticity ɛ m = ( L s / U) ( U/L s ) θ Effect of U on L s for given labor market tightness Macroelasticity ɛ M = ( L/ U) ( U/L) Effect of U on L after labor demand has adjusted Landais et al. (216) review evidence: ɛ M /ɛ m < 1. ɛ M /ɛ m < 1 L d is downward-sloping ɛ M /ɛ m procyclical L s is convex
60 Additional evidence Effect of increase in job-search effort Tightness and employment Gautier et al. (212), Crepon et al. (213), Marinescu (217) Effects larger in good times Toohey (217)
61 Elasticities in competing models " Fixed wage, diminishing returns to labor Δ/ " Δ. Labor market tightness +, +, + - Labor market tightness * + = *, + - Employment! Employment! " Pissarides (25) Δ/ Labor market tightness + - +, E Employment!
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