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Corporate Taxation and the Decline of the Labor Share Barı¸ s Kaymak Immo Schott University of Montréal and CIREQ Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 1
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Page 1: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Corporate Taxation and the Decline of the LaborShare

Barıs Kaymak Immo Schott

University of Montréal and CIREQ

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 1

Page 2: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Introduction

Global decline of the labor share

.55

.6.65

.7LIS

1980 1990 2000 2010year

World USAEurope

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 2

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Introduction

Theories

− Production Function◦ CES with σ < 1 and decreasing K/L (Lawrence, 2015)◦ CES with σ > 1 and increasing K/L (Karabarbounis and Neiman, 2013)

− Market Elements◦ More competition (Autor et al., 2017)◦ Less competition (De Loecker and Eeckhout, 2017)◦ Trade (Elsby et al., 2013)

− Institutional Elements◦ Unions? (Elsby et al., 2013)◦ Corporate Taxation

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 3

Page 4: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Introduction

Theories

− Production Function◦ CES with σ < 1 and decreasing K/L (Lawrence, 2015)◦ CES with σ > 1 and increasing K/L (Karabarbounis and Neiman, 2013)

− Market Elements◦ More competition (Autor et al., 2017)◦ Less competition (De Loecker and Eeckhout, 2017)◦ Trade (Elsby et al., 2013)

− Institutional Elements◦ Unions? (Elsby et al., 2013)◦ Corporate Taxation

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 3

Page 5: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Empirical Evidence

Corporate taxation and the labor share : 2007

AUSAUTCZE

DNK

ESPEST FIN

FRAGER

GRC

HUN

IRL

ITAKOR

LUX

LVA

NLD

SVK

SWE

UK

USA

R2 = 0.52

.4.4

5.5

.55

.6.6

5La

bor S

hare

10 20 30 40Corporate Tax Rate (%)

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 4

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Empirical Evidence

Corporate taxation and the labor share : manufacturing 2007

AUS

AUTCZE

DNK

ESPEST

FIN

FRA

GERGRC

HUN

IRL

ITA

KORLUX

LVA

NLD

SVK

SWE

UK

USA

R2 = 0.58

.3.4

.5.6

.7.8

Labo

r Sha

re

10 20 30 40Corporate Tax Rate (%)

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 5

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Empirical Evidence

Corporate taxation and the labor share : 1981 – 2007

AUS

AUT

CZE

DNK

ESP

EST

FINFRA GER

GRC

HUN

IRL ITA

KOR

LUX

LVA

NLD

SVK

SWE

UK

USA

R2 = 0.31-.15

-.1-.0

50

.05

Δ L

abor

Sha

re

-40 -30 -20 -10 0 10Δ Corporate Tax Rate (%)

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 6

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Empirical Evidence

Corporate taxation and the labor share : manufacturing 1981 –2007

AUS

AUT

CZE

DNK

ESP

EST

FIN

FRA

GERGRC

HUN

IRL

ITA

KOR

LUXLVA

NLD

SVK

SWE

UK

USA

R2 = 0.56

-.3-.2

-.10

.1Δ

Lab

or S

hare

-40 -30 -20 -10 0 10Δ Corporate Tax Rate (%)

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 7

Page 9: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Empirical Evidence

Corporate taxation and the labor share

Manufacturing Services Aggregate

corporate tax rate 0.37** 0.06 0.16**

w/o country trends (0.10) (0.05) (0.05)

corporate tax rate 0.22** 0.15* 0.17**

with country trends (0.06) (0.06) (0.06)

N 528 528 528

Note.– * p < 0.05, ** p < 0.01. Data comes from KLEMS database and OECD 1981 to 2007. Dependent variable is labor’s share ofincome. All specifications control for fixed year and country effects. Standard errors are clustered at the country level.

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 8

Page 10: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Empirical Evidence

Corporate Taxes and Labor Share in the US

90#

95#

100#

105#

110#

115#

0#5#

10#15#20#25#30#35#40#45#50#

1953# 1963# 1973# 1983# 1993# 2003#

Corp#Tax/Corp#Inc# Labor#Share#(Index)#

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 9

Page 11: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Empirical Evidence

Corporate Taxes and Labor Share in the US

AL

AZ

AR

CA

CO

CT

DE

FL

GA

ID

IL

IN

IA

KS

KY

LA

ME

MD

MA

MIMN

MS

MOMT

NE

NV

NH

NJ NM

NY

NC

ND

OHOK

OR

PA

RI

SCSD

TN

TX

UT

VT

VAWA

WV

WIWY

1520

2530

3540

.04 .06 .08 .1 .12 .14taxl_old

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 10

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Empirical Evidence

Anatomy of the Decline in the US

1 large declines within industries, primarily in K-intensive sectors

2 limited decline within establishments

3 rising share of K-intensive firms in output

4 roughly stable employment size distribution

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Empirical Evidence

Labor share and value added in US Manufacturing

(a) 1967 (b) 2007

Source : Kehrig and Vincent (2017).

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 12

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Empirical Evidence

Employment Concentration in Manufacturing

0.50

0.55

0.60

0.65

0.70

0.75

0.80

0.85

0.90

0.95

1.00

1954 1964 1974 1984 1994 2004 2014

250+ (>20 only) 1000+ (>20 only) 250+ 1000+

Note.– Graph shows the inverse Pareto indexes implied by the employment shares of establishments with more than 250 and 1000 employees.

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 13

Page 15: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Empirical Evidence

Average Establishment Employment in Manufacturing

0

20

40

60

80

100

120

140

160

180

1954 1964 1974 1984 1994 2004 2014

ALL 20+ Estab

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 14

Page 16: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Model

MODEL

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Page 17: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Model

Model Outline

− General Equilibrium Model of Industry Dynamics (Hopenhayn andRogerson, 1993)

− Firms differ in capital intensity as well as productivity

− Entry, exit and production decisions

− Income is subject to corporate taxation

− Representative household

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 16

Page 18: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Model

Production

− Outputqit = εit(kit

αinitβi) with αi + βi = γ < 1

− Productivity

log εit = ρ log εit−1 + σεηit, where ηt ∼ N(0, 1)

− Capital Intensity

αi ∼ G(α) drawn once at entry

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Page 19: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Model

Timing of events

1 production stage◦ given capital, hire labor and carry out production◦ sell product and pay taxes on net income

2 research stage◦ incumbents observe productivity for the next investment cycle◦ entrants observe productivity and production technology

3 planning stage◦ if exit, dissolve company, distribute capital/profits to shareholders◦ if stay (or entrant), decide how much to invest in capital for the next period

pick up between stages 2 and 3

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 18

Page 20: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Model

Incumbent Firm’s Problem

V(m, ε, α) = max {Vx(m),Vc(m, ε, α)}

− Continuing Firms

Vc(m, ε, α) = m + maxk,n

{−pk + ρEε′|εV(m′, ε′, α)

}subject to

m′ = πb(k, n; ε, α)− τ ·max {0, πb(k, n; ε, α)}+ pk

πb(k, n; ε, α) = pεkαnβ − wn− wcf − δpk

− Exiting FirmsVx(m) = m

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 19

Page 21: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Model

Entry

− free entry

− large mass of potential entrants

− pay wce to draw α and ε

wce = Ve =

∫ ∫V(0, ε, α)dH(ε)dG(α).

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Model

Distribution of Firms

Track resources

B(M) ={

m : m′(m, ε, α) ∈M for any (ε, α) ∈ (E × A)}

Entrants

µ(M, E ,A) = M∫A

∫E

dH(ε)dG(α) and m0 ∈M, and 0 otherwise.

Evolution of firm distribution

Γ′(M, E ,A) =

∫A,E,B(M)

(1− x(ε, α)) dΓ(m, ε, α)dH(ε′|ε)dG(α)

+µ(M, E ,A)

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 21

Page 23: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Model

Households

maxc,n

c1−σ

1− σ− θ n1+φ

1 + φs.t. c = wn + d + T

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 22

Page 24: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Model

A stationary recursive competitive equilibrium consists of value functionsV(m, ε, α), Vc(m, ε, α) and Vx(m), policy functions k(m, ε, α), n(m, ε, α),m′(m, ε, α), and x(ε, α), a price p, labor supply Ls(w), a measure of incumbent firmsΓ and a measure of entrants µ such that :

1 V(m, ε, α), Vc(m, ε, α), Vx(m), k(m, ε, α), n(m, ε, α), m′(m, ε, α) and x(ε, α)solve the incumbent firm’s problem.

2 The free entry condition is satisfied

3 The labor market clears∫[n(m, ε, α) + cf ] dΓ + Mce = Ls(w)

4 The financial market clears

d =

∫[πb(m, ε, α)− τ ·max{0, πb(m, ε, α)}+ m− (1− x(m, ε, α)) · k(m, ε, α)] dΓ

5 Government budget is balanced :

T = τ

∫max{0, πb(m, ε, α)}dΓ

6 The distribution of incumbent firms is stationary : Γ′ = Γ.

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 23

Page 25: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Model

Simplified Model Analysis

Assumptions

− exogenous exit at rate x

− cf = 0

− w = 1

− Ns = 1

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Page 26: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Model

Factor Demands

w ≡ wp

= βεkαnβ−1

rτ ≡ 1− ρρ · (1− τ)

+ δ = αεkα−1nβ

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 25

Page 27: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Model

Output

q = ε1

1−γ

) α1−γ(β

w

) β1−γ

.

ηqrτ =α

1− γηqw =

β

1− γ

K-intensive (L-intensive) firms are more sensitive to rτ (w).

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 26

Page 28: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Model

Profits

After tax profits :

Πa(p, τ) = (1− τ)pq(ε, w, rτ )

(1− β − α δ

)∂Πa

∂rτ< 0

∂Πa

∂τ< 0

∂Πa

∂p> 0

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 27

Page 29: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Model

Entry and Market Clearing

− lower taxes reduce (increase) equilibrium prices (wages)

Ve =1

1− ρ(1− x)Eα,εΠa(

+p,−τ ) = ce

− employment shifts towards K-intensive firms

ηqrτ =α

1− γηqw =

β

1− γ

− total effect on employment and industry size is ambiguous

ce +

∫n(−p,−τ )dΓ = 1/M

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 28

Page 30: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Quantitative Analysis

Quantitative Question

What was the role of lower corporate tax rates in the decline of the laborshare in US Manufacturing?

Approach

− calibrate to 1960s manufacturing industry

− simulate lower corporate tax rate

Today’s Assumptions

− inelastic labor supply

− exogenous exit

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 29

Page 31: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Quantitative Analysis

Quantitative Question

What was the role of lower corporate tax rates in the decline of the laborshare in US Manufacturing?

Approach

− calibrate to 1960s manufacturing industry

− simulate lower corporate tax rate

Today’s Assumptions

− inelastic labor supply

− exogenous exit

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 29

Page 32: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Quantitative Analysis

Calibration : Preset Parameters

Parameter Value Interpretation Reason

δ 0.10 depreciation rate NIPAγ 0.85 returns to scale —ρ 0.96 discount factor annual r ≈ 4%w 1.0 wage numéraireτ 0.52 corporate income tax Gravelle (2004)

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Page 33: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Quantitative Analysis

Distribution of Labor Intensity

1 0 βmin γ µβ

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 31

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Quantitative Analysis

Calibration : SMM

Parameter Value Targets from 1967 Data Model

ρε 0.745 emp. share : smallest 65% of establishments 5.6 5.6σε 0.195 emp. share : largest 4.25% of establishments 60.1 60.0µε 0.569 average firm size —-> 60.5 60.5βmin 0.301 manufacturing labor share 55.6 55.6ce 14.50 VA-weighted p50(LS)/median(LS) 88.6 90.5

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 32

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Quantitative Analysis

Distribution of Labor Shares : Model vs. Data

0.3 0.4 0.5 0.6 0.7 0.8

Labor Share BETA

0

0.02

0.04

0.06

0.08

0.1

0.12

VA

Labor Share

Note.– The joint distribution of labor shares and value added. On the left are results from our model. The figure on the right is taken fromKehrig and Vincent (2017).

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 33

Page 36: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Quantitative Analysis

Impact of Corporate Taxes on the Labor Share

decrease the corporate tax rate to 20%

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 34

Page 37: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Quantitative Analysis

Impact of Corporate Taxes on the Labor Share

Corporate Tax Rate 52% 20%

Manufacturing labor share 0.556 0.485Price Level 0.872 0.643Aggregate Output 1.665 2.173Employment in smallest 65% of establishments 0.056 0.049Employment in largest 4.25% of establishments 0.600 0.625VA-weighted p50(LS)/median(LS) 0.905 0.666Average Firm Size 60.50 32.0

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 35

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Quantitative Analysis

The Role of General Equilibrium Effects

Effect Effect on Labor Share

Total change -7.1ppdrop in rτ -4.1ppdrop in p -3.4pp

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 36

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Quantitative Analysis

The Rise in Concentration : Model vs. Data

0.3 0.4 0.5 0.6 0.7 0.8

Labor Share BETA

0

0.02

0.04

0.06

0.08

0.1

0.12

VA

Labor Share

Note.– The joint distribution of labor shares and value added. On the left are results from our model. The figure on the right is taken fromKehrig and Vincent (2017).

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 37

Page 40: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Alternative Theories

Alternative Explanations

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 38

Page 41: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Alternative Theories

Rising Markups : γ ↘

Span of Control 0.85 0.82

Manufacturing labor share 0.556 0.565Price Level 0.872 1.055Aggregate Output 1.665 1.358Employment in smallest 65% of establishments 0.056 0.10Employment in largest 4.25% of establishments 0.600 0.48VA-weighted p50(LS)/median(LS) 0.905 1.04Average Employment 60.50 51.2

0.3 0.4 0.5 0.6 0.7 0.8

Labor Share BETA

0

0.02

0.04

0.06

0.08

0.1

0.12

VA

Labor Share

0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8Labor Share BETA

0

0.02

0.04

0.06

0.08

0.1

0.12

VALabor Share

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 39

Page 42: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Alternative Theories

Rising Price Elasticity : γ ↗

Span of control 0.85 0.88

Manufacturing labor share 0.556 0.511Price Level 0.872 0.666Aggregate Output 1.665 2.300Employment in smallest 65% of establishments 0.056 0.017Employment in largest 4.25% of establishments 0.600 0.779VA-weighted p50(LS)/median(LS) 0.905 0.656Average Firm Size 60.50 71.1

0.3 0.4 0.5 0.6 0.7 0.8

Labor Share BETA

0

0.02

0.04

0.06

0.08

0.1

0.12

VA

Labor Share

0.3 0.4 0.5 0.6 0.7 0.8Labor Share BETA

0

0.02

0.04

0.06

0.08

0.1

0.12

VALabor Share

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 40

Page 43: Corporate Taxation and the Decline of the Labor Sharecirano.qc.ca/actualite/2018-04-24/20180424_PresentationKaymak.pdf · Employment in smallest 65% of establishments 0.056 0.049

Alternative Theories

Discussion

− Corporate tax cuts are responsible for a third of the decline in the laborshare in US manufacturing.

− Endogenous exit

− Industry elasticity of substitution

− Alternative explanations

− Empirical US

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 41

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Alternative Theories

K-biased technical change?

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 42

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Alternative Theories

L-biased technical change

Kaymak - Schott (UdeM 2018) Labor Share and Corporate Tax 43

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Alternative Theories

ReferencesAUTOR, D., D. DORN, L. F. KATZ, C. PATTERSON, J. VAN REENEN,

ET AL. (2017) : The fall of the labor share and the rise of superstar firms,National Bureau of Economic Research.

DE LOECKER, J. AND J. EECKHOUT (2017) : “The rise of market power andthe macroeconomic implications,” Tech. Rep. 23687, NBER working paper.

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