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IntroductionModel and Calibration
Results
Employment Protection, Technology Choice, andWorker Allocation
Eric J. Bartelsman1, Pieter Gautier1, and Joris de Wind2
1Vrije Universiteit Amsterdam; Tinbergen Institute; IZA Bonn
2CPB Netherlands
November 30, 2012 – NBB, Brussels
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
Outline
1 IntroductionMotivationStylized Facts
2 Model and CalibrationTheoryCalibration and Simulation
3 ResultsSimulationEmpirical Results
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
MotivationStylized Facts
Productivity Divergence Puzzle
EU productivity almost caught up to US by 1995. Since then, thegap has widened again
1985 1990 1995 2000 20050.7
0.8
0.9
1
1.1
year
US
= 1
Labor productivity EU15 vs US
source: EUKLEMS, Market sector,ppp-adjusted real output per hourBartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
MotivationStylized Facts
Divergence continues in recent data
1996-2005 2006-2010
US 2.3 1.3EU-15 1.5 .7UK 2.3 .05
Source: The Conference Board Total Economy Database
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
MotivationStylized Facts
Main explanations productivity divergence
Macro/industry: EU productivity almost caught up to US by1995. Since then, the gap has widened again
Main explanation: In the US, ICT capital deepening and TFPincrease likely associated with ICT and other intangiblesinvestments boosted aggregate output.But: why does investment in ICT and associated intangibleslag in the EU?Traditional explanations, such as unfavorable factor prices, donot explain it.
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
MotivationStylized Facts
Potential Storyline on ICT investment
Investments in ICT and related intangibles increases thevariance of firm outcomes
ICT-related innovations require firm to experiment in themarketMarkets becomes more contestable and the innovation mayleads to winner-take-all situations
High variance technology is good for productivity,
good news can be leveragedbad news is bounded by option to fire/close but ...
Firing Costs and inflexibility in EU makes this type ofintangible investment less profitable
Payoff depends on scaling up successful innovations, closingunsuccessful ones
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
MotivationStylized Facts
ICT and Increase in Performance Spread
Source: Brynjolfsson et al.Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
MotivationStylized Facts
ICT and Increased Job Flows
Gross Job Flows Entry-Exit Job Flows1986–94 1995–04 1986–94 1995–04
Hi ICT Inds 17.5 23.1 6.8 10.4Lo ICT Inds 17.5 18.6 8.1 8.1
Source: Authors’ calculation from micro-aggregated file from LBD
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
MotivationStylized Facts
An Aside: Micro-aggregated EU indicators
Provision of metadata. Approval of access. Disclosure analysis
of cross-country tables. Disclosure analysis of Publication
Res
earc
her
Policy Question Research Design Program Code
Publication
Net
wor
k Metadata
Network members
Cross-country Tables
NS
Is
Distributed micro data research
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
MotivationStylized Facts
Productivity Heterogeneity and Allocation
Manufacturing Excluding ICT, 2003-2009, Finland and Sweden.Labor productivity, Employment Share and Employment Growth byProductivity Quartile
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
MotivationStylized Facts
Productivity Heterogeneity and Allocation
Manufacturing Excluding ICT, 2003-2009, Italy and the UnitedKingdom. Labor productivity, Employment Share and EmploymentGrowth by Productivity Quartile
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
MotivationStylized Facts
Productivity Heterogeneity and Allocation
Market Services Excluding ICT, 2003-2009, Finland and Sweden.Labor productivity, Employment Share and Employment Growth byProductivity Quartile
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
MotivationStylized Facts
ICT and Dispersion
σc,i ,t = α + γBBIc,i ,t + FE + εc,i ,t (1)
FE : country, industry, time fixed effects
Std. Deviation of firm-level productivity distribution regressed onBroadband intensity
Levels First-differences
γ 0.47(5.02)
.28(2.59)
R2 0.52 0.03D.F. 1180 1021Fixed effects ctry, ind, time ctry, ind, timeSource: Eurostat: Firm-Level ICT Impacts Project
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
MotivationStylized Facts
ICT and Dispersion
Employment Adjustment by ICT Intensity
‘Hockey Stick’ Chart, Data appear similar to real stuff
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
MotivationStylized Facts
ICT and Dispersion
Table: Measures of Dispersion by ICT intensity
Prod. (TS) Output (TS) Prod. (XS) Output (XS)Country ICT=0 ICT=1 ICT=0 ICT=1 ALL ICT=1 ALL ICT=1DK .037 .044 .057 .068 .23 .24 .29 .32FI .036 .079 .043 .097 .25 .27 .30 .33FR .040 .034 .047 .031 .21 .18 .21 .19NL .016 .019 .012 .017 .22 .24 .20 .21NO .031 .070 .043 .082 .32 .35 .33 .35SE .039 .067 .101 .141 .33 .37 .49 .52
Source: ESSLIMIT: Dispersion of Productivity and Output Growth, from
firm-level timeseries and firm-level cross sections
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
MotivationStylized Facts
Risky versus Safe Sectors, US vs EU
1990 1995 2000 20050.45
0.5
0.55
0.6
year
Employment share risky sector
US
EU
1990 1995 2000 20051.2
1.5
1.8
2.1
year
Relative productivity risky sector
US
EU
Source: EUKLEMS: ppp-adjusted output and employee hours; Eurostat
Firm-level ICT Impacts Project: Broadband penetration (industry
riskiness indicator)
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
MotivationStylized Facts
Risky versus Safe Sectors, EU by EPL
1990 1995 2000 20050.45
0.5
0.55
0.6
year
Employment share risky sector
EU low EPL
EU high EPL
1990 1995 2000 20051.2
1.5
1.8
2.1
year
Relative productivity risky sector
EU low EPL
EU high EPL
Source: EUKLEMS: ppp-adjusted output and employee hours; Eurostat
Firm-level ICT Impacts Project: Broadband penetration (industry
riskiness indicator)
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
TheoryCalibration and Simulation
Selection of Related literature
ICT and Productivity
van Ark, O’Mahony, and Timmer (2008); Bloom, Sadun, VanReenen (2012);Brynjolfsson, McAfee (2011)
Employment Protection
Autor, Kerr, and Kugler (2008); Samaniego (2006); Bassanini,Nunziata, and Venn (2009); Cunat and Melitz (2010)
Labor Search
Mortensen and Lentz (2008); Brugemann (2012); Koenigerand Prat (2007)
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
TheoryCalibration and Simulation
A model with firing cost and choice of technology: Setup
2 technologies/ sectors compete for workers
0: safe sector, known technology and productivity (i.e.Pissarides, 2000)1: risky sector, gets draws from prod. distribution (i.e.Mortensen Pissarides, 1994)
Labor market states: (non-participation), unemployment,employed in safe sector, employed in risky sector
Why productivity dispersion? –¿ Search frictions
EPL makes using the risky technology more expensive.
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
TheoryCalibration and Simulation
A model with firing cost and choice of technology: Setup
Firms pay a fixed fee (c0, c1) to post a vacancy in either thesafe or risky sector, until profit opportunities are exhausted
In the safe sector, productivity, y , is known ex-ante.In the risky sector,y + x , job starts at the safe level ofproductivity and shocks arrive at rate λ : draw x ∼ N(µ, σ2)Conditional on a draw below an endogenous productivitythreshold, xd , the job ends and the firm pays an exit cost, k
There is an exogenous job destruction rate, δ, for both sectors(no exit fee applies).
Surplus is shared between firm and worker through Nashbargaining
Workers decide between home production or engage in costlysearch for a job in either sector
No on-the-job search
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
TheoryCalibration and Simulation
Vacancies and Jobs
Value of vacancy
rV0 = −c0 +m0
θ0[J0 − V0] = 0
rV1 = −c1 +m1
θ1[J1(0)− V1] = 0.
Value of a job for the firm
rJ0 = y − w0 − δJ0.
rJ1(x) = y + x−w1(x)− δJ1+λ
( ∫ xuxd
[J1(z)− J1(x)] dF (z)
−F (xd ) (J1 + k)
).
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
TheoryCalibration and Simulation
Employment and unemployment
Value of unemployment
rU = b+m0 [max [0,E0 − U ]] +m1 [max [0,E1(0)− U ]] .
Value of employment
rE0 = w0 − δ [E0 − U ]
rE1(x) = w1(x)− (δ + λF (xd )) [E1(x)− U ]
+λ∫ xu
xd[E1(z)− E1(x)] dF (z)
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
TheoryCalibration and Simulation
Equilibrium
Nash bargaining
Free entry
Beveridge curve, Steady state flow conditions
Endogenous job destruction threshold
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
TheoryCalibration and Simulation
Equilibrium
Free entry conditions (no arbitrage)
Job creation condition sector 0, (m0θ0
)
Job creation condition sector 1, (m1θ1
)
Participation constraints:
Job destruction sector 1: J1(xd ) = −kValue of marginal job for worker: E1(xd ) = U
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
TheoryCalibration and Simulation
Parameters from the literature
Parm. Value Description Motivation
y 1 productivity safe sector normalizationr 0.004 monthly interest rate Pissarides (2009)β 1− η Nash bargaining share worker Hosios conditionb 0.4 unemployment benefits Shimer (2005)η 0.5 matching elasticity Pissarides (2009)ξ 0.3 matching efficiency normalization
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
TheoryCalibration and Simulation
Parameters matching US labor market stocks and flows
Parm. Value Description Motivation
l 0.77 size labor force size labor force (OECD LFS)δ 0.026 Poisson rate ex. job destr. ex. job destr. (JOLTS, EUKLEMS)c0 0.2092 vacancy costs safe sector stocks, flows (OECD LFS, JOLTS, EUKLEMS)c1 0.4184 vacancy costs risky sector stocks, flows (OECD LFS, JOLTS, EUKLEMS)
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
TheoryCalibration and Simulation
Target output
y is average output in the risky sector
(1− s) workers have not received a shock and produce y
s workers produce on average y + 11−F (xd )
∫ xuxd
zdF (z)
solve for s using the steady state flow equation
λ (1− F (xd )) (1− s) e1 = (δ + λF (xd )) se1
Average output per worker in the risky sector is
y = y + s1
1− F (xd )
∫ xu
xdzdF (z) = y +
λ
δ + λ
∫ xu
xdzdF (z) .
Use the formula’s for the truncated normal distribution.
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
TheoryCalibration and Simulation
Target variance and endogenous job destruction
The variance of output per worker in the risky sector is
σ2 = s1
1− F (xd )
∫ xu
xd(y + z − y)2 dF (z) + (1− s) (y − y)2
=λ
δ + λ
(∫ xu
xdz2dF (z)− λ
δ + λ
(∫ xu
xdzdF (z)
)2)
.
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
TheoryCalibration and Simulation
Target risky sector job creation and destruction
λF (xd ) = srisky − δ.
m1
θ1=
(r + λ + δ) c1−(1− β) (σxd + (r + λ + δ) k)
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
TheoryCalibration and Simulation
Matching US cross-sectional productivity distribution
Solve 4 equations (σ2, y , m1θ1
, λF (xd )) for 4 unknowns λ, µ, σ, kfor median workerParameter Value Description
λ 0.1410 Poisson rate productivity shockµ 0.0653 mean productivity shockσ 0.4989 standard deviation productivity shockk 1.2227 firing costs
endog. job destruction (JOLTS, EUKLEMS)cross-sectional mean (EUKLEMS)cross-sectional variance (BHS)stocks and flows (OECD LFS, JOLTS, EUKLEMS)
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
SimulationEmpirical Results
Increase in Riskiness, under different Firing Costs
0.2 0.3 0.4 0.5 0.60
0.2
0.4
0.6
0.8
1
σ
Share risky
benchmark
high cf = 6
0.2 0.3 0.4 0.5 0.60.95
1
1.05
1.1
1.15
1.2
σ
Productivity
benchmark
high cf = 6
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
SimulationEmpirical Results
Model Simulation: Comparative Statics
Benchmark σ = 0.50 High σ = 0.75k = 1.25 k = 3 k = 7 k = 1.25 k = 3 k = 7
xd -0.729 -1.010 -1.688 -0.781 -1.048 -1.693λF (xd ) 0.008 0.002 0.000 0.018 0.010 0.001
y 1.100 1.071 1.055 1.182 1.135 1.071S1 (0) 3.012 2.905 2.871 3.315 3.125 2.900
θ1 1.167 1.085 1.059 1.413 1.2560 1.081e1 0.410 0.413 0.419 0.586 0.446 0.418θ0 0.408 0.550 0.596 0.017 0.256 0.557e0 0.316 0.319 0.315 0.110 0.276 0.315u 0.043 0.037 0.035 0.073 0.047 0.037
e1/e 0.566 0.565 0.571 0.842 0.617 0.570π 1.056 1.040 1.032 1.153 1.084 1.040Ω 0.965 0.962 0.958 0.988 0.981 0.964
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
SimulationEmpirical Results
Cross country / industry Regressions
Employment share, employment growth, or productivity isregressed on industry riskiness indicator interacted with exitcosts
depc,i ,t = α + βkc,t + γkc,tR(σ)i + FE + εc,i ,t X
Where kc,t is country (and time) specific exit cost indicator
OECD Employment protection index (EPL)WB Cost of Doing Business Exit Cost, Cost Recovery, FiringCosts
and R(σ)i is industry riskiness indicator
Variance of firm-level productivity distributionRatio of top quartile productivity to mean productivityPercentage of workers with broadband access
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
SimulationEmpirical Results
Regression Results
Labor share Labor growth TFP growth
γ −1.08(2.94)
−.86(3.00)
−1.12(2.48)
R2 .84 .20 .07D.F. 5025 4979 4396Fixed effects ind mean+trends ctry,ind,time ctry,ind,time
t-statistic in parenthesis. Period: 1995-2005; Industry rank: productivity
variance; ExitCost: EPLRegular. See Appendix ?? for country and
industry listing. Robust estimation of error variances using 2-way industry
and country clusters for employment, industry clusters for TFP
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
SimulationEmpirical Results
Robustness γ: by sub-period
sub-periodSample 1995-2000 2000-2005 1995-2005
EU −.71(5.04)
−.84(5.49)
−.77(7.15)
EUN −0.87(6.72)
−.94(6.89)
−0.91(9.27)
EURO −.63(3.32)
−.63(7.15)
−.62(4.62)
OECD −0.85(7.85)
−0.94(8.09)
−0.89(10.81)
ALL −0.98(9.52)
−1.04(9.57)
−1.01(12.98)
t-statistic in parenthesis. Industry rank: productivity variance; ExitCost:
EPLRegular; Fixed Eff: industry means & trends. See appendix for
country listing.
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
SimulationEmpirical Results
Robustness γ: by riskiness and exit cost
Industry sub-sampleCountry sub-sample Low risk High risk
Low firing cost −2.27(2.71)
−4.39(3.62)
High firing cost −.98(.94)
−2.71(2.81)
t-statistic in parenthesis. Period: 1995-2005; Industry Rank: productivity
variance; ExitCost: EPLRegular; Fixed Eff: industry means & trends.
Robust errors clustered 2-way by industry and country. See Appendix ??
for country and industry listing.
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
SimulationEmpirical Results
Robustness γ: by k and R(σ)
Riskiness indicatorExit Cost DSLpct P4/P Variance
Exitloss% −4.99(2.63)
−3.55(1.83)
−3.16(1.67)
Exitcost% −22.76(3.00)
−16.20(1.87)
−13.03(1.62)
Firerule −.42(.66)
−.36(.70)
−.32(.69)
Firecost −4.34(2.37)
−3.88(2.84)
−3.09(3.03)
EPLoverall −1.07(2.33)
−.82(2.42)
−.66(2.39)
EPLregular −1.29(2.70)
−1.11(2.55)
−1.08(2.96)
t-statistic in parenthesis. Period: 1995-2005; Fixed Eff: industry means
& trends. See Appendix for indicator definitions and country and industry
listing. Robust errors clustered 2-way by industry and country.
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
SimulationEmpirical Results
Employment Share: Entry Costs vs Exit Costs
Entry Cost Indicator only γentry γentry γexit
Starting a Business - # of procedures −.20(1.64)
−.09(.97)
−.94(2.85)
Starting a Business - time (days) −.17(2.27)
−.11(1.37)
−.76(1.93)
Starting a Business - cost (pct of capital) −.67(1.04)
−.29(.56)
−1.03(3.34)
Difficulty of hiring (index) −2.12(1.65)
−.39(.30)
−1.04(2.35)
Barriers to entrepreneurship −.71(1.11)
−.27(.66)
−1.05(3.28)
Barriers to entrp. license and permits .20(1.00)
.14(.73)
−1.04(2.77)
none. (only exit cost: EPLRegular) −1.08(2.94)
t-statistic in parenthesis. Period: 1995-2005; Industry rank: productivity variance;
Exit Cost: EPLRegular; Fixed Eff: industry means & trends. Robust errors
clustered 2-way by industry and country.
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
SimulationEmpirical Results
Robustness γ: by random R(σ)
0 200 400 600 800 1000 1200−1.5
−1
−0.5
0
0.5
1
1.5Random rankings
γ
95% CI
Estimates of γ and confidence interval from 1200 regressions usingrandom draws from all possible permutations of industry riskinessrankings.Exit cost indicator: EPL Regular, ALL countries, 1995-2005, Fixed
Effects: mean & trend
Bartelsman, Gautier, de Wind EPL and Technology Choice
IntroductionModel and Calibration
Results
SimulationEmpirical Results
Long term effects of the crisis? Productivity
0.3 0.4 0.5 0.6 0.7 0.80
0.2
0.4
0.6
0.8
1Employment share risky sector
c1
0.3 0.4 0.5 0.6 0.7 0.80.95
1
1.05
1.1
1.15
1.2Relative productivity risky sector
c1
Bartelsman, Gautier, de Wind EPL and Technology Choice