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Markups, Labor Market Inequality and the Nature of Work
Greg Kaplan Piotr Zoch
NBER Summer Institute
17 July 2020
Overview
 Goal: Develop a framework to understand how changes in markups affect income
distribution:
1. Profits versus labor
2. Different types of workers
1 Kaplan and Zoch (2020)
Overview
 Goal: Develop a framework to understand how changes in markups affect income
distribution:
1. Profits versus labor
2. Different types of workers
 Why? Markups central to trends and fluctuations in macroeconomic models
 Long run: Trends in competition and technology
 Short run: Monetary or demand shocks in New Keynesian models
1 Kaplan and Zoch (2020)
Uses of Labor in a Modern Economy
 Two ways that workers contribute to generating revenue for firms
1. Y -type labor: Marginal production of existing goods for sale in existing markets
2. N-type labor: Facilitate expansion or replication into new goods or new markets
2 Kaplan and Zoch (2020)
Uses of Labor in a Modern Economy
 Two ways that workers contribute to generating revenue for firms
1. Y -type labor: Marginal production of existing goods for sale in existing markets
2. N-type labor: Facilitate expansion or replication into new goods or new markets
 Key distinction: Factor inputs that generate revenue by
1. Moving along demand curves
vs
2. Shifting out demand curves
2 Kaplan and Zoch (2020)
Uses of Labor in a Modern Economy
 Two ways that workers contribute to generating revenue for firms
1. Y -type labor: Marginal production of existing goods for sale in existing markets
2. N-type labor: Facilitate expansion or replication into new goods or new markets
 Key distinction: Factor inputs that generate revenue by
1. Moving along demand curves
vs
2. Shifting out demand curves



Markups shift input demand between factors
2 Kaplan and Zoch (2020)
Outline
1. Theory: importance of N-type labor in Representative Agent model
 Effect of markups on overall labor share versus profit share
 Markups redistribute labor income between different workers
3 Kaplan and Zoch (2020)
Outline
1. Theory: importance of N-type labor in Representative Agent model
 Effect of markups on overall labor share versus profit share
 Markups redistribute labor income between different workers
2. Measurement: extent and identity of N-type labor in US economy
 Extent: co-movement of labor share and markup
 Identity: co-movement of occupational income shares and aggregate labor share
3 Kaplan and Zoch (2020)
Outline
1. Theory: importance of N-type labor in Representative Agent model
 Effect of markups on overall labor share versus profit share
 Markups redistribute labor income between different workers
2. Measurement: extent and identity of N-type labor in US economy
 Extent: co-movement of labor share and markup
 Identity: co-movement of occupational income shares and aggregate labor share
3. Quantitative: quantify forces in Heterogeneous Agent model (NOT TODAY)
 Short-run: distributional effects of monetary / demand shocks in HANK
 Long-run: distributional effects of changes in market power and technology
3 Kaplan and Zoch (2020)
Outline
1. Theory: Representative Agent Model
2. Measurement
Estimation Stage 1: Aggregate Parameters
Estimation Stage 2: Occupation-Specific Parameters
3. Conclusion
3 Kaplan and Zoch (2020)
Upstream Sector
 Representative upstream producer hires production labor in a competitive market
 Produce a homogenous intermediate good Y that is sold in a competitive market
U = maxLY ;Y
PUY WY LY
subject to
Y = ZY LY
Y
 PU: upstream price of intermediate goods
 U: profits of upstream sector
4 Kaplan and Zoch (2020)
Downstream Sector: Product Lines
 Measure 1 of downstream firms hire expansionary labor to manage product lines.
 Decide measure of product lines N to operate
D = maxLN ;N
∫ N
0
jdj WNLN
subject to
N = ZNLN
N
 j: gross profits per product line j
 D: net profits of downstream sector
5 Kaplan and Zoch (2020)
Downstream Sector: Product Lines
 Measure 1 of downstream firms hire expansionary labor to manage product lines.
 Decide measure of product lines N to operate
D = maxLN ;N
∫ N
0
jdj WNLN
subject to
N = ZNLN
N
 j: gross profits per product line j
 D: net profits of downstream sector
6 Kaplan and Zoch (2020)
Downstream Sector: Pricing
 Produce differentiated goods yj using homogenous goods as only input
 Sell to consumers at price pj, markup  over marginal cost PU
 Gross profits in each product line:
j = yj (pj)(pj PU)
= yj (pj)pj
(
1 1

)
 Results that follow apply to wide array of micro-foundations for 
microfoundations for markups
7 Kaplan and Zoch (2020)
Equilibrium Factor Shares
 Symmetric equilibrium: pj = p 8j, yj = y 8j
 Market clearing: yN = Y ) nominal GDP = pY
8 Kaplan and Zoch (2020)
Equilibrium Factor Shares
 Symmetric equilibrium: pj = p 8j, yj = y 8j
 Market clearing: yN = Y ) nominal GDP = pY
Labor Share SL
Production SY := WY LY
pY
1
Y
Expansionary SN := WN LN
pY
(
1 1

)
N
Profit Share S
Downstream SD := D
pY
(
1 1

)
(1 N)
Upstream SU := U
pY
1
 (1 Y )
8 Kaplan and Zoch (2020)
Equilibrium Factor Shares
 Symmetric equilibrium: pj = p 8j, yj = y 8j
 Market clearing: yN = Y ) nominal GDP = pY
Labor Share SL
Production SY := WY LY
pY
1
Y
Expansionary SN := WN LN
pY
(
1 1

)
N
Profit Share S
Downstream SD := D
pY
(
1 1

)
(1 N)
Upstream SU := U
pY
1
 (1 Y )
 Special cases:
1. N = 0 ) standard one-sector model
8 Kaplan and Zoch (2020)
Equilibrium Factor Shares
 Symmetric equilibrium: pj = p 8j, yj = y 8j
 Market clearing: yN = Y ) nominal GDP = pY
Labor Share SL
Production SY := WY LY
pY
1
Y
Expansionary SN := WN LN
pY
(
1 1

)
N
Profit Share S
Downstream SD := D
pY
(
1 1

)
(1 N)
Upstream SU := U
pY
1
 (1 Y )
 Special cases:
1. N = 0 ) standard one-sector model
2. Y = 1 ) only downstream profits, reflect rents from monopoly power
8 Kaplan and Zoch (2020)
Equilibrium Factor Shares
 Symmetric equilibrium: pj = p 8j, yj = y 8j
 Market clearing: yN = Y ) nominal GDP = pY
Labor Share SL
Production SY := WY LY
pY
1
Y
Expansionary SN := WN LN
pY
(
1 1

)
N
Profit Share S
Downstream SD := D
pY
(
1 1

)
(1 N)
Upstream SU := U
pY
1
 (1 Y )
 Special cases:
1. N = 0 ) standard one-sector model
2. Y = 1 ) only downstream profits, reflect rents from monopoly power
3. N = 1 ) only upstream profits, reflect rents from fixed factor
8 Kaplan and Zoch (2020)
Observations About Markups
Q1: How do markups redistribute labor income between production vs expansionary labor ?
  ) SY #: production labor is negatively exposed to markups
  ) SN : expansionary labor is positively exposed to markups
 Implication for workers:
 N = 0: Only production labor, all workers negatively exposed to markups
 N  0: Some expansionary labor, some workers positively exposed to markups
9 Kaplan and Zoch (2020)
Observations About Markups
Q2: How do markups redistribute total income between profits and labor?
 Ambiguous effect on labor share SL relative to profit share S:
@SL
@ 3 0 if and only if N 3 Y
 Co-movement of labor share SL and markups  informative about N % Y
10 Kaplan and Zoch (2020)
Observations About Markups
Q2: How do markups redistribute total income between profits and labor?
 Ambiguous effect on labor share SL relative to profit share S:
@SL
@ 3 0 if and only if N 3 Y
 Co-movement of labor share SL and markups  informative about N % Y
 One-sector NK models (N = 0):
 Always negative co-movement between SL and 
 Conversely always positive co-movement between S and 
 Result hinges on whether profits reflect rents from monopoly power or fixed factor
10 Kaplan and Zoch (2020)
Taking Stock
 Questions:
 Relative size of N vs Y : How much N-type labor?
 Who performs N-type activities? Occupations, wages, etc
 Challenges: notion of N is abstract
 Reflects activities that shift demand curves, most workers do some of each activity
11 Kaplan and Zoch (2020)
Outline
1. Theory: Representative Agent Model
2. Measurement
Estimation Stage 1: Aggregate Parameters
Estimation Stage 2: Occupation-Specific Parameters
3. Conclusion
11 Kaplan and Zoch (2020)
Overview of Estimation
Estimation Stage 1: Aggregate Parameters: (Y ;N)
 Co-movement of labor share and markups reveals relative size of (Y ;N)
 Identify overall share of N-type labor from data on labor share and markup
12 Kaplan and Zoch (2020)
Overview of Estimation
Estimation Stage 1: Aggregate Parameters: (Y ;N)
 Co-movement of labor share and markups reveals relative size of (Y ;N)
 Identify overall share of N-type labor from data on labor share and markup
Estimation Stage 2: Occupation-specific Parameters
 Introduce notion of an occupation into framework
 Labor income shifts towards N-intensive occupations in response to a markup-induced
increase in overall labor share
 Identify N-intensity of occupation from data on occupational income shares
12 Kaplan and Zoch (2020)
Outline
1. Theory: Representative Agent Model
2. Measurement
Estimation Stage 1: Aggregate Parameters
Estimation Stage 2: Occupation-Specific Parameters
3. Conclusion
12 Kaplan and Zoch (2020)
Identification of Y ; N
 Introduce capital:
Y = ZY
(
KY
Y L1 Y
Y
)Y
N = ZN
(
KN
N L1 N
N
)N
 Factor shares:
SLY
= (1 Y ) 1
Y
SLN
= (1 N)
(
1 1

)
N
13 Kaplan and Zoch (2020)
Identification of Y ; N
 Introduce capital:
Y = ZY
(
KY
Y L1 Y
Y
)Y
N = ZN
(
KN
N L1 N
N
)N
 Factor shares:
SLY
= (1 Y ) 1
Y
SLN
= (1 N)
(
1 1

)
N
 Assume all capital used in Y sector (N = 0):
SL = N + [Y (1 Y ) N] 1

 Intuition: Recover N;(1 Y )Y from levels of (;SL) and sensitivity of SL to 
 Assumption on S need to to recover Y
moment conditions
13 Kaplan and Zoch (2020)
Labor Share Data
 Quarterly data from National Economic Accounts from BEA from 1947:Q1 - 2019:Q2
 Follow Gomme-Rupert (2004) to adjust for ambiguous components
 Mean SL = 65%. Of remaining 35%, assume S = 10%
14 Kaplan and Zoch (2020)
Labor Share Data
 Quarterly data from National Economic Accounts from BEA from 1947:Q1 - 2019:Q2
 Follow Gomme-Rupert (2004) to adjust for ambiguous components
 Mean SL = 65%. Of remaining 35%, assume S = 10%
.55.6.65.7.75
1950q1 1960q1 1970q1 1980q1 1990q1 2000q1 2010q1 2020q1
yq
Baseline BLS non-farm bus
Cooley_Prescott Fernald
BLS non-fin corp 14 Kaplan and Zoch (2020)
Markup Data
 Existing approaches inappropriate in our context
1. Inverse labor share e.g. Bills(1987), Nekarda-Ramey(2019)
2. Ratio estimator e.g. De Loecker-Warzynski(2012), De Loecker-Eeckhout-Unger(2019))
15 Kaplan and Zoch (2020)
Markup Data
 Existing approaches inappropriate in our context
1. Inverse labor share e.g. Bills(1987), Nekarda-Ramey(2019)
2. Ratio estimator e.g. De Loecker-Warzynski(2012), De Loecker-Eeckhout-Unger(2019))
 Markup in model is ratio:
 Downstream price: price of differentiated goods paid by consumers, over
 Upstream price: price of undifferentiated goods produced by raw materials, capital
and labor
 Ratio of PPI series produced by BLS similarly to Barro-Tenreyo(2006)
 WPSFD49207: finished demand
 WPSID61: processed goods for intermediate demand
 Assumption required about mean level of markup: baseline E [t] = 1:2
15 Kaplan and Zoch (2020)
Labor Share and Markup Data
Raw Time Series De-Trended Data
1.051.11.151.21.251.3
.6.62.64.66.68.7
1950q1 1960q1 1970q1 1980q1 1990q1 2000q1 2010q1 2020q1
yq
Labor Share (left axis) Markup (right axis)
.63.64.65.66.67.68
DetrendedLaborShare
1.1 1.15 1.2 1.25 1.3
Detrended Markup
16 Kaplan and Zoch (2020)
Estimates of Overall N-type Share
(1) (2) (3) (4) (5)
Baseline Low High Low High
Profit Share Profit Share Markup Markup
Y 0.934 0.994 0.874 0.908 0.963
(0.005) (0.005) (0.005) (0.001) (0.008)
N 0.730 0.730 0.730 0.741 0.721
(0.024) (0.024) (0.024) (0.027) (0.021)
Implied value of SN;L
SL
19% 19% 19% 5% 29%
Assumed mean markup,  1.20 1.20 1.20 1.05 1.35
Assumed profit share, S 10% 5% 15% 10% 10%
Capital share parameter, Y 0.32 0.36 0.27 0.29 0.35
Table: First stage estimation results
17 Kaplan and Zoch (2020)
Outline
1. Theory: Representative Agent Model
2. Measurement
Estimation Stage 1: Aggregate Parameters
Estimation Stage 2: Occupation-Specific Parameters
3. Conclusion
17 Kaplan and Zoch (2020)
Occupational Framework
 Fixed set of occupations, j = 1:::J, each used in both sectors
LY =
J∏
j=1
Lj Y
jY ; LN =
J∏
j=1
Lj N
jN ;
J∑
j=1
jY =
J∑
j=1
jN = 1
 Labor market clearing in each occupation j: Lj = LjY + LjN 8j
where Lj is labor supplied by workers in occupation j
18 Kaplan and Zoch (2020)
Occupational Framework
 Fixed set of occupations, j = 1:::J, each used in both sectors
LY =
J∏
j=1
Lj Y
jY ; LN =
J∏
j=1
Lj N
jN ;
J∑
j=1
jY =
J∑
j=1
jN = 1
 Labor market clearing in each occupation j: Lj = LjY + LjN 8j
where Lj is labor supplied by workers in occupation j
 Income share of labor in occupation j is a weighted sum of sectoral labor share
Sj = jY SY;L + jNSN;L
 Define occupational labor income share of occupation j as sj = Sj
SL
18 Kaplan and Zoch (2020)
Identification of BjY ; jNCJ
j=1
 Occupations differ in terms of exposure to movements in overall labor share:
sj = jY + (jN jY )
(
1 Y (1 Y )
N
) 1 (
1 Y (1 Y ) 1
SL
)
8j
 Recover fjY ;jNgJ
j=1 from level of sj and sensitivity of sj to labor share SL
19 Kaplan and Zoch (2020)
Identification of BjY ; jNCJ
j=1
 Occupations differ in terms of exposure to movements in overall labor share:
sj = jY + (jN jY )
(
1 Y (1 Y )
N
) 1 (
1 Y (1 Y ) 1
SL
)
8j
 Recover fjY ;jNgJ
j=1 from level of sj and sensitivity of sj to labor share SL
 Three possible sources of variation:
1. De-trended Markup ) IV with de-trended markup as instrument for inverse labor share
2. De-trended Labor Share: ) OLS with de-trended inverse labor share
3. Lagged Monetary Policy Shocks ) IV with identified monetary policy shocks as
instrument for inverse labor share SVAR IRF
further details, moment conditions
19 Kaplan and Zoch (2020)
Occupational Labor Shares
Raw Time Series De-trended Shares
.05.1.15.2.25
1990q1 2000q1 2010q1 2020q1
yq
Managerial Occs Professional Specialty
High−tech Occs Sales Occs
Admin Support, Clerical Service Occs
Constr, Extractive, Farming Production, Repair
Machine Operators, Transp
-.01-.0050.005.01.015
De-trendedOccupationalLaborIncomeShare
.645 .65 .655
Predicted Detrended Labor Share
Managerial, High-tech, Admin, Service
Construction, Extractive, Production, Repair, Farming
Professional Specialty, Sales
 Intuition for identification: right panel plots de-trended occupational income shares for
three-broad groups against predicted de-trended overall labor share CPS-ORG data
20 Kaplan and Zoch (2020)
Baseline Estimates of Occupation N-intensity
P-val Elasticity Share
Y N Y = N Sj ;SL
Sj N
Sj
Panel A: Instrument: De-trended Markup (IV)
High-tech Occs 0.041 0.055 0.027 3.38 24%
Service Occs 0.078 0.094 0.050 2.54 22%
Admin, Clerical 0.105 0.127 0.014 2.49 22%
Managerial Occs 0.206 0.243 0.007 2.30 21%
Prof. Specialty 0.227 0.226 0.909 0.96 19%
Sales Occs 0.100 0.090 0.083 0.21 17%
Production, Repair 0.068 0.051 0.022 -0.92 15%
Constr., Extract., Farm 0.054 0.038 0.014 -1.38 14%
Machinists, Transp. 0.121 0.076 0.002 -1.98 13%
First stage: R2 0.16
First stage F 11.2
Table: Stage 2 estimates of occupational factor share parameters
OLS: de-trended labor share IV: monetary policy shocks
21 Kaplan and Zoch (2020)
Characteristics of N-intensive Occupations
Median Wages, 2015 Growth in Median Wages, 1980-2015
High-tech
Service
Admin
Managerial
Prof Specialty
Sales
Prod., Repair
Constr., Extract., Farm
Machinists, Transp.
51015202530
Medianwage,2015($)
12 14 16 18 20 22 24
N-type share (%)
High-tech
Service
Admin
Managerial
Prof Specialty
Sales
Prod., Repair
Constr., Extract., Farm
Machinists, Transp.
100150200250300
Growthinmedianwages,1980-2015(%)
12 14 16 18 20 22 24
N-type share (%)
 Both high and low wages among N-intensive occupations
 N-intensive occupations experienced fastest wage growth
 Wage data from 1980 Census and 2015 ACS
22 Kaplan and Zoch (2020)
Characteristics of N-intensive Occupations
Manual Content Abstract Content Routine Content
High-tech
Service
Admin
Managerial
Prof Specialty
Sales
Prod., Repair
Constr., Extract., Farm
Machinists, Transp.
-1012
Meantask_manual2000weights
12 14 16 18 20 22 24
N-type share (%)
High-tech
Service
Admin
Managerial
Prof Specialty
Sales
Prod., Repair
Constr., Extract., Farm
Machinists, Transp.
-2-1012
Meantask_abstract2000weights
12 14 16 18 20 22 24
N-type share (%)
High-tech
Service
Admin
Managerial
Prof Specialty
Sales
Prod., Repair
Constr., Extract., Farm
Machinists, Transp.
-1-.50.511.5
Meantask_routine2000weights
12 14 16 18 20 22 24
N-type share (%)
 Broad task measures from Autor-Katz-Kearney (2006)
23 Kaplan and Zoch (2020)
Outline
1. Theory: Representative Agent Model
2. Measurement
Estimation Stage 1: Aggregate Parameters
Estimation Stage 2: Occupation-Specific Parameters
3. Conclusion
23 Kaplan and Zoch (2020)
Summary
 Differentiate between two uses of labor in a modern economy:
 N-type expansionary activities
 Y -type traditional production activities
 Co-movement of labor share with markup:  of US labor income compensates N-type activities
 Co-movement of occupational shares with overall labor share: heterogeneity in N-intensity:
 N-intensive occupations are those associated with white-collar jobs
 Y -intensive occupations are those associated with blue-collar jobs
 N-intensive occupations experienced fasted wage and employment growth in last 35 years
 Recognizing labor’s expansionary role:
 Study distributional consequences of monetary policy, demand shocks and competition
24 Kaplan and Zoch (2020)
THANK YOU !
25 Kaplan and Zoch (2020)
Micro-foundations for the Markup
1. Monopolistic competition:
 CES Dixit-Stiglitz: exogenous shifts in demand elasticity
 Translog demand Feenstra, Bilbie-Melitz-Ghironi: changes in ZN;ZY
 Linear demand Melitz-Ottaviano: changes in ZN;ZY
 Sticky prices Blanchard-Kiyotaki: Calvo or Rotemberg
2. Oligopoly: Atkeson-Burstein, Jaimovich-Floettotto, Mongey
 Bertrand or Cournot: changes in number of sellers of each variety
3. Limit Pricing: Milgrom-Roberts, Barro-Tenreyo
 Change in fringe production cost
4. Product market search: Burdett-Judd, Alessandria, Kaplan-Menzio
 Exogenous or endogenous changes in consumer search effort
back
26 Kaplan and Zoch (2020)
Identification of Y ; N
 Introduce deterministic trends in Y ;N;, measurement error and shocks to SL;
SL;t = N;t + [Y;t (1 Y ) N;t] 1
t
+ L;t
N;t = gN
(
N
;t)
Y;t = gY
(
Y
;t)
1
t
= g (
;t) + ;t
 Moment conditions for estimation
E [L;t] = 0 8t
E [L;j;t] = 0 8(t;)
back
27 Kaplan and Zoch (2020)
Identification of BjY ; jNCJ
j=1
 Occupations differ in terms of exposure to movements in overall labor share:
sj = jY + (jN jY )
(
1 Y (1 Y )
N
) 1 (
1 Y (1 Y ) 1
SL
)
8j
 Recover fjY ;jNgJ
j=1 from level of sj and sensitivity of sj to labor share SL
28 Kaplan and Zoch (2020)
Identification of BjY ; jNCJ
j=1
 Occupations differ in terms of exposure to movements in overall labor share:
sj = jY + (jN jY )
(
1 Y (1 Y )
N
) 1 (
1 Y (1 Y ) 1
SL
)
8j
 Recover fjY ;jNgJ
j=1 from level of sj and sensitivity of sj to labor share SL
 Empirical specification with trends and shocks:
sj;t = jY t + (jNt jY t)
(
1 Y (1 Y )
N
) 1 (
1 Y (1 Y ) 1
SLt
)
+ sj ;t8j
jY;t = gj Y
(
j Y
;t
)
+ jY;t
jN;t = gj N
(
j N
;t
)
+ jN;t
Define j;t :=
(
jY;t;jN;t;sj ;t
)
back
28 Kaplan and Zoch (2020)
Three Sources of Variation
1. De-trended Markup
E [j;j;t] = 0 8(t;); 8j
) IV with de-trended markup as instrument for inverse labor share
29 Kaplan and Zoch (2020)
Three Sources of Variation
1. De-trended Markup
E [j;j;t] = 0 8(t;); 8j
) IV with de-trended markup as instrument for inverse labor share
2. De-trended Labor Share:
SL;t = gSL
(
SL
;t) + SL ;t
E [j;jSL ;t] = 0 8(t;); 8j
) OLS with de-trended inverse labor share
back
29 Kaplan and Zoch (2020)

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Markups Nature of Work

  • 1. Markups, Labor Market Inequality and the Nature of Work Greg Kaplan Piotr Zoch NBER Summer Institute 17 July 2020
  • 2. Overview Goal: Develop a framework to understand how changes in markups affect income distribution: 1. Profits versus labor 2. Different types of workers 1 Kaplan and Zoch (2020)
  • 3. Overview Goal: Develop a framework to understand how changes in markups affect income distribution: 1. Profits versus labor 2. Different types of workers Why? Markups central to trends and fluctuations in macroeconomic models Long run: Trends in competition and technology Short run: Monetary or demand shocks in New Keynesian models 1 Kaplan and Zoch (2020)
  • 4. Uses of Labor in a Modern Economy Two ways that workers contribute to generating revenue for firms 1. Y -type labor: Marginal production of existing goods for sale in existing markets 2. N-type labor: Facilitate expansion or replication into new goods or new markets 2 Kaplan and Zoch (2020)
  • 5. Uses of Labor in a Modern Economy Two ways that workers contribute to generating revenue for firms 1. Y -type labor: Marginal production of existing goods for sale in existing markets 2. N-type labor: Facilitate expansion or replication into new goods or new markets Key distinction: Factor inputs that generate revenue by 1. Moving along demand curves vs 2. Shifting out demand curves 2 Kaplan and Zoch (2020)
  • 6. Uses of Labor in a Modern Economy Two ways that workers contribute to generating revenue for firms 1. Y -type labor: Marginal production of existing goods for sale in existing markets 2. N-type labor: Facilitate expansion or replication into new goods or new markets Key distinction: Factor inputs that generate revenue by 1. Moving along demand curves vs 2. Shifting out demand curves    Markups shift input demand between factors 2 Kaplan and Zoch (2020)
  • 7. Outline 1. Theory: importance of N-type labor in Representative Agent model Effect of markups on overall labor share versus profit share Markups redistribute labor income between different workers 3 Kaplan and Zoch (2020)
  • 8. Outline 1. Theory: importance of N-type labor in Representative Agent model Effect of markups on overall labor share versus profit share Markups redistribute labor income between different workers 2. Measurement: extent and identity of N-type labor in US economy Extent: co-movement of labor share and markup Identity: co-movement of occupational income shares and aggregate labor share 3 Kaplan and Zoch (2020)
  • 9. Outline 1. Theory: importance of N-type labor in Representative Agent model Effect of markups on overall labor share versus profit share Markups redistribute labor income between different workers 2. Measurement: extent and identity of N-type labor in US economy Extent: co-movement of labor share and markup Identity: co-movement of occupational income shares and aggregate labor share 3. Quantitative: quantify forces in Heterogeneous Agent model (NOT TODAY) Short-run: distributional effects of monetary / demand shocks in HANK Long-run: distributional effects of changes in market power and technology 3 Kaplan and Zoch (2020)
  • 10. Outline 1. Theory: Representative Agent Model 2. Measurement Estimation Stage 1: Aggregate Parameters Estimation Stage 2: Occupation-Specific Parameters 3. Conclusion 3 Kaplan and Zoch (2020)
  • 11. Upstream Sector Representative upstream producer hires production labor in a competitive market Produce a homogenous intermediate good Y that is sold in a competitive market U = maxLY ;Y PUY WY LY subject to Y = ZY LY Y PU: upstream price of intermediate goods U: profits of upstream sector 4 Kaplan and Zoch (2020)
  • 12. Downstream Sector: Product Lines Measure 1 of downstream firms hire expansionary labor to manage product lines. Decide measure of product lines N to operate D = maxLN ;N ∫ N 0 jdj WNLN subject to N = ZNLN N j: gross profits per product line j D: net profits of downstream sector 5 Kaplan and Zoch (2020)
  • 13. Downstream Sector: Product Lines Measure 1 of downstream firms hire expansionary labor to manage product lines. Decide measure of product lines N to operate D = maxLN ;N ∫ N 0 jdj WNLN subject to N = ZNLN N j: gross profits per product line j D: net profits of downstream sector 6 Kaplan and Zoch (2020)
  • 14. Downstream Sector: Pricing Produce differentiated goods yj using homogenous goods as only input Sell to consumers at price pj, markup over marginal cost PU Gross profits in each product line: j = yj (pj)(pj PU) = yj (pj)pj ( 1 1 ) Results that follow apply to wide array of micro-foundations for microfoundations for markups 7 Kaplan and Zoch (2020)
  • 15. Equilibrium Factor Shares Symmetric equilibrium: pj = p 8j, yj = y 8j Market clearing: yN = Y ) nominal GDP = pY 8 Kaplan and Zoch (2020)
  • 16. Equilibrium Factor Shares Symmetric equilibrium: pj = p 8j, yj = y 8j Market clearing: yN = Y ) nominal GDP = pY Labor Share SL Production SY := WY LY pY 1 Y Expansionary SN := WN LN pY ( 1 1 ) N Profit Share S Downstream SD := D pY ( 1 1 ) (1 N) Upstream SU := U pY 1 (1 Y ) 8 Kaplan and Zoch (2020)
  • 17. Equilibrium Factor Shares Symmetric equilibrium: pj = p 8j, yj = y 8j Market clearing: yN = Y ) nominal GDP = pY Labor Share SL Production SY := WY LY pY 1 Y Expansionary SN := WN LN pY ( 1 1 ) N Profit Share S Downstream SD := D pY ( 1 1 ) (1 N) Upstream SU := U pY 1 (1 Y ) Special cases: 1. N = 0 ) standard one-sector model 8 Kaplan and Zoch (2020)
  • 18. Equilibrium Factor Shares Symmetric equilibrium: pj = p 8j, yj = y 8j Market clearing: yN = Y ) nominal GDP = pY Labor Share SL Production SY := WY LY pY 1 Y Expansionary SN := WN LN pY ( 1 1 ) N Profit Share S Downstream SD := D pY ( 1 1 ) (1 N) Upstream SU := U pY 1 (1 Y ) Special cases: 1. N = 0 ) standard one-sector model 2. Y = 1 ) only downstream profits, reflect rents from monopoly power 8 Kaplan and Zoch (2020)
  • 19. Equilibrium Factor Shares Symmetric equilibrium: pj = p 8j, yj = y 8j Market clearing: yN = Y ) nominal GDP = pY Labor Share SL Production SY := WY LY pY 1 Y Expansionary SN := WN LN pY ( 1 1 ) N Profit Share S Downstream SD := D pY ( 1 1 ) (1 N) Upstream SU := U pY 1 (1 Y ) Special cases: 1. N = 0 ) standard one-sector model 2. Y = 1 ) only downstream profits, reflect rents from monopoly power 3. N = 1 ) only upstream profits, reflect rents from fixed factor 8 Kaplan and Zoch (2020)
  • 20. Observations About Markups Q1: How do markups redistribute labor income between production vs expansionary labor ? ) SY #: production labor is negatively exposed to markups ) SN : expansionary labor is positively exposed to markups Implication for workers: N = 0: Only production labor, all workers negatively exposed to markups N 0: Some expansionary labor, some workers positively exposed to markups 9 Kaplan and Zoch (2020)
  • 21. Observations About Markups Q2: How do markups redistribute total income between profits and labor? Ambiguous effect on labor share SL relative to profit share S: @SL @ 3 0 if and only if N 3 Y Co-movement of labor share SL and markups informative about N % Y 10 Kaplan and Zoch (2020)
  • 22. Observations About Markups Q2: How do markups redistribute total income between profits and labor? Ambiguous effect on labor share SL relative to profit share S: @SL @ 3 0 if and only if N 3 Y Co-movement of labor share SL and markups informative about N % Y One-sector NK models (N = 0): Always negative co-movement between SL and Conversely always positive co-movement between S and Result hinges on whether profits reflect rents from monopoly power or fixed factor 10 Kaplan and Zoch (2020)
  • 23. Taking Stock Questions: Relative size of N vs Y : How much N-type labor? Who performs N-type activities? Occupations, wages, etc Challenges: notion of N is abstract Reflects activities that shift demand curves, most workers do some of each activity 11 Kaplan and Zoch (2020)
  • 24. Outline 1. Theory: Representative Agent Model 2. Measurement Estimation Stage 1: Aggregate Parameters Estimation Stage 2: Occupation-Specific Parameters 3. Conclusion 11 Kaplan and Zoch (2020)
  • 25. Overview of Estimation Estimation Stage 1: Aggregate Parameters: (Y ;N) Co-movement of labor share and markups reveals relative size of (Y ;N) Identify overall share of N-type labor from data on labor share and markup 12 Kaplan and Zoch (2020)
  • 26. Overview of Estimation Estimation Stage 1: Aggregate Parameters: (Y ;N) Co-movement of labor share and markups reveals relative size of (Y ;N) Identify overall share of N-type labor from data on labor share and markup Estimation Stage 2: Occupation-specific Parameters Introduce notion of an occupation into framework Labor income shifts towards N-intensive occupations in response to a markup-induced increase in overall labor share Identify N-intensity of occupation from data on occupational income shares 12 Kaplan and Zoch (2020)
  • 27. Outline 1. Theory: Representative Agent Model 2. Measurement Estimation Stage 1: Aggregate Parameters Estimation Stage 2: Occupation-Specific Parameters 3. Conclusion 12 Kaplan and Zoch (2020)
  • 28. Identification of Y ; N Introduce capital: Y = ZY ( KY Y L1 Y Y )Y N = ZN ( KN N L1 N N )N Factor shares: SLY = (1 Y ) 1 Y SLN = (1 N) ( 1 1 ) N 13 Kaplan and Zoch (2020)
  • 29. Identification of Y ; N Introduce capital: Y = ZY ( KY Y L1 Y Y )Y N = ZN ( KN N L1 N N )N Factor shares: SLY = (1 Y ) 1 Y SLN = (1 N) ( 1 1 ) N Assume all capital used in Y sector (N = 0): SL = N + [Y (1 Y ) N] 1 Intuition: Recover N;(1 Y )Y from levels of (;SL) and sensitivity of SL to Assumption on S need to to recover Y moment conditions 13 Kaplan and Zoch (2020)
  • 30. Labor Share Data Quarterly data from National Economic Accounts from BEA from 1947:Q1 - 2019:Q2 Follow Gomme-Rupert (2004) to adjust for ambiguous components Mean SL = 65%. Of remaining 35%, assume S = 10% 14 Kaplan and Zoch (2020)
  • 31. Labor Share Data Quarterly data from National Economic Accounts from BEA from 1947:Q1 - 2019:Q2 Follow Gomme-Rupert (2004) to adjust for ambiguous components Mean SL = 65%. Of remaining 35%, assume S = 10% .55.6.65.7.75 1950q1 1960q1 1970q1 1980q1 1990q1 2000q1 2010q1 2020q1 yq Baseline BLS non-farm bus Cooley_Prescott Fernald BLS non-fin corp 14 Kaplan and Zoch (2020)
  • 32. Markup Data Existing approaches inappropriate in our context 1. Inverse labor share e.g. Bills(1987), Nekarda-Ramey(2019) 2. Ratio estimator e.g. De Loecker-Warzynski(2012), De Loecker-Eeckhout-Unger(2019)) 15 Kaplan and Zoch (2020)
  • 33. Markup Data Existing approaches inappropriate in our context 1. Inverse labor share e.g. Bills(1987), Nekarda-Ramey(2019) 2. Ratio estimator e.g. De Loecker-Warzynski(2012), De Loecker-Eeckhout-Unger(2019)) Markup in model is ratio: Downstream price: price of differentiated goods paid by consumers, over Upstream price: price of undifferentiated goods produced by raw materials, capital and labor Ratio of PPI series produced by BLS similarly to Barro-Tenreyo(2006) WPSFD49207: finished demand WPSID61: processed goods for intermediate demand Assumption required about mean level of markup: baseline E [t] = 1:2 15 Kaplan and Zoch (2020)
  • 34. Labor Share and Markup Data Raw Time Series De-Trended Data 1.051.11.151.21.251.3 .6.62.64.66.68.7 1950q1 1960q1 1970q1 1980q1 1990q1 2000q1 2010q1 2020q1 yq Labor Share (left axis) Markup (right axis) .63.64.65.66.67.68 DetrendedLaborShare 1.1 1.15 1.2 1.25 1.3 Detrended Markup 16 Kaplan and Zoch (2020)
  • 35. Estimates of Overall N-type Share (1) (2) (3) (4) (5) Baseline Low High Low High Profit Share Profit Share Markup Markup Y 0.934 0.994 0.874 0.908 0.963 (0.005) (0.005) (0.005) (0.001) (0.008) N 0.730 0.730 0.730 0.741 0.721 (0.024) (0.024) (0.024) (0.027) (0.021) Implied value of SN;L SL 19% 19% 19% 5% 29% Assumed mean markup, 1.20 1.20 1.20 1.05 1.35 Assumed profit share, S 10% 5% 15% 10% 10% Capital share parameter, Y 0.32 0.36 0.27 0.29 0.35 Table: First stage estimation results 17 Kaplan and Zoch (2020)
  • 36. Outline 1. Theory: Representative Agent Model 2. Measurement Estimation Stage 1: Aggregate Parameters Estimation Stage 2: Occupation-Specific Parameters 3. Conclusion 17 Kaplan and Zoch (2020)
  • 37. Occupational Framework Fixed set of occupations, j = 1:::J, each used in both sectors LY = J∏ j=1 Lj Y jY ; LN = J∏ j=1 Lj N jN ; J∑ j=1 jY = J∑ j=1 jN = 1 Labor market clearing in each occupation j: Lj = LjY + LjN 8j where Lj is labor supplied by workers in occupation j 18 Kaplan and Zoch (2020)
  • 38. Occupational Framework Fixed set of occupations, j = 1:::J, each used in both sectors LY = J∏ j=1 Lj Y jY ; LN = J∏ j=1 Lj N jN ; J∑ j=1 jY = J∑ j=1 jN = 1 Labor market clearing in each occupation j: Lj = LjY + LjN 8j where Lj is labor supplied by workers in occupation j Income share of labor in occupation j is a weighted sum of sectoral labor share Sj = jY SY;L + jNSN;L Define occupational labor income share of occupation j as sj = Sj SL 18 Kaplan and Zoch (2020)
  • 39. Identification of BjY ; jNCJ j=1 Occupations differ in terms of exposure to movements in overall labor share: sj = jY + (jN jY ) ( 1 Y (1 Y ) N ) 1 ( 1 Y (1 Y ) 1 SL ) 8j Recover fjY ;jNgJ j=1 from level of sj and sensitivity of sj to labor share SL 19 Kaplan and Zoch (2020)
  • 40. Identification of BjY ; jNCJ j=1 Occupations differ in terms of exposure to movements in overall labor share: sj = jY + (jN jY ) ( 1 Y (1 Y ) N ) 1 ( 1 Y (1 Y ) 1 SL ) 8j Recover fjY ;jNgJ j=1 from level of sj and sensitivity of sj to labor share SL Three possible sources of variation: 1. De-trended Markup ) IV with de-trended markup as instrument for inverse labor share 2. De-trended Labor Share: ) OLS with de-trended inverse labor share 3. Lagged Monetary Policy Shocks ) IV with identified monetary policy shocks as instrument for inverse labor share SVAR IRF further details, moment conditions 19 Kaplan and Zoch (2020)
  • 41. Occupational Labor Shares Raw Time Series De-trended Shares .05.1.15.2.25 1990q1 2000q1 2010q1 2020q1 yq Managerial Occs Professional Specialty High−tech Occs Sales Occs Admin Support, Clerical Service Occs Constr, Extractive, Farming Production, Repair Machine Operators, Transp -.01-.0050.005.01.015 De-trendedOccupationalLaborIncomeShare .645 .65 .655 Predicted Detrended Labor Share Managerial, High-tech, Admin, Service Construction, Extractive, Production, Repair, Farming Professional Specialty, Sales Intuition for identification: right panel plots de-trended occupational income shares for three-broad groups against predicted de-trended overall labor share CPS-ORG data 20 Kaplan and Zoch (2020)
  • 42. Baseline Estimates of Occupation N-intensity P-val Elasticity Share Y N Y = N Sj ;SL Sj N Sj Panel A: Instrument: De-trended Markup (IV) High-tech Occs 0.041 0.055 0.027 3.38 24% Service Occs 0.078 0.094 0.050 2.54 22% Admin, Clerical 0.105 0.127 0.014 2.49 22% Managerial Occs 0.206 0.243 0.007 2.30 21% Prof. Specialty 0.227 0.226 0.909 0.96 19% Sales Occs 0.100 0.090 0.083 0.21 17% Production, Repair 0.068 0.051 0.022 -0.92 15% Constr., Extract., Farm 0.054 0.038 0.014 -1.38 14% Machinists, Transp. 0.121 0.076 0.002 -1.98 13% First stage: R2 0.16 First stage F 11.2 Table: Stage 2 estimates of occupational factor share parameters OLS: de-trended labor share IV: monetary policy shocks 21 Kaplan and Zoch (2020)
  • 43. Characteristics of N-intensive Occupations Median Wages, 2015 Growth in Median Wages, 1980-2015 High-tech Service Admin Managerial Prof Specialty Sales Prod., Repair Constr., Extract., Farm Machinists, Transp. 51015202530 Medianwage,2015($) 12 14 16 18 20 22 24 N-type share (%) High-tech Service Admin Managerial Prof Specialty Sales Prod., Repair Constr., Extract., Farm Machinists, Transp. 100150200250300 Growthinmedianwages,1980-2015(%) 12 14 16 18 20 22 24 N-type share (%) Both high and low wages among N-intensive occupations N-intensive occupations experienced fastest wage growth Wage data from 1980 Census and 2015 ACS 22 Kaplan and Zoch (2020)
  • 44. Characteristics of N-intensive Occupations Manual Content Abstract Content Routine Content High-tech Service Admin Managerial Prof Specialty Sales Prod., Repair Constr., Extract., Farm Machinists, Transp. -1012 Meantask_manual2000weights 12 14 16 18 20 22 24 N-type share (%) High-tech Service Admin Managerial Prof Specialty Sales Prod., Repair Constr., Extract., Farm Machinists, Transp. -2-1012 Meantask_abstract2000weights 12 14 16 18 20 22 24 N-type share (%) High-tech Service Admin Managerial Prof Specialty Sales Prod., Repair Constr., Extract., Farm Machinists, Transp. -1-.50.511.5 Meantask_routine2000weights 12 14 16 18 20 22 24 N-type share (%) Broad task measures from Autor-Katz-Kearney (2006) 23 Kaplan and Zoch (2020)
  • 45. Outline 1. Theory: Representative Agent Model 2. Measurement Estimation Stage 1: Aggregate Parameters Estimation Stage 2: Occupation-Specific Parameters 3. Conclusion 23 Kaplan and Zoch (2020)
  • 46. Summary Differentiate between two uses of labor in a modern economy: N-type expansionary activities Y -type traditional production activities Co-movement of labor share with markup: of US labor income compensates N-type activities Co-movement of occupational shares with overall labor share: heterogeneity in N-intensity: N-intensive occupations are those associated with white-collar jobs Y -intensive occupations are those associated with blue-collar jobs N-intensive occupations experienced fasted wage and employment growth in last 35 years Recognizing labor’s expansionary role: Study distributional consequences of monetary policy, demand shocks and competition 24 Kaplan and Zoch (2020)
  • 47. THANK YOU ! 25 Kaplan and Zoch (2020)
  • 48. Micro-foundations for the Markup 1. Monopolistic competition: CES Dixit-Stiglitz: exogenous shifts in demand elasticity Translog demand Feenstra, Bilbie-Melitz-Ghironi: changes in ZN;ZY Linear demand Melitz-Ottaviano: changes in ZN;ZY Sticky prices Blanchard-Kiyotaki: Calvo or Rotemberg 2. Oligopoly: Atkeson-Burstein, Jaimovich-Floettotto, Mongey Bertrand or Cournot: changes in number of sellers of each variety 3. Limit Pricing: Milgrom-Roberts, Barro-Tenreyo Change in fringe production cost 4. Product market search: Burdett-Judd, Alessandria, Kaplan-Menzio Exogenous or endogenous changes in consumer search effort back 26 Kaplan and Zoch (2020)
  • 49. Identification of Y ; N Introduce deterministic trends in Y ;N;, measurement error and shocks to SL; SL;t = N;t + [Y;t (1 Y ) N;t] 1 t + L;t N;t = gN (
  • 52. ;t) + ;t Moment conditions for estimation E [L;t] = 0 8t E [L;j;t] = 0 8(t;) back 27 Kaplan and Zoch (2020)
  • 53. Identification of BjY ; jNCJ j=1 Occupations differ in terms of exposure to movements in overall labor share: sj = jY + (jN jY ) ( 1 Y (1 Y ) N ) 1 ( 1 Y (1 Y ) 1 SL ) 8j Recover fjY ;jNgJ j=1 from level of sj and sensitivity of sj to labor share SL 28 Kaplan and Zoch (2020)
  • 54. Identification of BjY ; jNCJ j=1 Occupations differ in terms of exposure to movements in overall labor share: sj = jY + (jN jY ) ( 1 Y (1 Y ) N ) 1 ( 1 Y (1 Y ) 1 SL ) 8j Recover fjY ;jNgJ j=1 from level of sj and sensitivity of sj to labor share SL Empirical specification with trends and shocks: sj;t = jY t + (jNt jY t) ( 1 Y (1 Y ) N ) 1 ( 1 Y (1 Y ) 1 SLt ) + sj ;t8j jY;t = gj Y (
  • 56. j N ;t ) + jN;t Define j;t := ( jY;t;jN;t;sj ;t ) back 28 Kaplan and Zoch (2020)
  • 57. Three Sources of Variation 1. De-trended Markup E [j;j;t] = 0 8(t;); 8j ) IV with de-trended markup as instrument for inverse labor share 29 Kaplan and Zoch (2020)
  • 58. Three Sources of Variation 1. De-trended Markup E [j;j;t] = 0 8(t;); 8j ) IV with de-trended markup as instrument for inverse labor share 2. De-trended Labor Share: SL;t = gSL (
  • 59. SL ;t) + SL ;t E [j;jSL ;t] = 0 8(t;); 8j ) OLS with de-trended inverse labor share back 29 Kaplan and Zoch (2020)
  • 60. Three Sources of Variation 3. Lagged Monetary Policy Shocks Instrument Zt that moves the markup 1 t = g (
  • 61. ;t) + Zt + ;t with 6= 0, E [Zt] = 0 and E [j;jZt] = 0 8(t;); 8j ) IV with identified monetary policy shocks as instrument for inverse labor share Cantore-Ferroni-Leon-Ledesma (2020): counter-cyclical IRF of labor share to monetary policy shocks, peak response after 1-2 years, robust to identification schemes, country … Combine three series: Romer-Romer(2004), Miranda-Agrippino-Ricco(2018), Gertler-Karadi(2015) back 30 Kaplan and Zoch (2020)
  • 62. Impulse Response to Contractionary Monetary Policy Shock Interest Rate Output Labor Share Impulse response from Cantore-Ferroni-Leon-Ledesma (2020) Blue line uses recursive identification scheme. Black line uses instruments from Romer and Romer (2004), Gertler and Karadi (2015) and Miranda-Agrippino (2016) back 31 Kaplan and Zoch (2020)
  • 63. Baseline Estimates of Occupation N-intensity P-val Elasticity Share P-val Y N Y = N Sj ;SL Sj N Sj overid Panel B: Instrument: De-trended Labor Share (OLS) High-tech Occs 0.043 0.046 0.194 1.60 20% Service Occs 0.080 0.082 0.398 1.19 19% Admin, Clerical 0.108 0.117 0.025 1.65 20% Managerial Occs 0.211 0.220 0.068 1.30 19% Prof. Specialty 0.227 0.228 0.731 1.05 19% Sales Occs 0.099 0.096 0.374 0.79 18% Production, Repair 0.065 0.062 0.122 0.58 18% Constr., Extract., Farm 0.052 0.047 0.021 0.17 17% Machinists, Transp. 0.115 0.102 0.000 0.13 17% Table: Stage 2 estimates of occupational factor share parameters back 32 Kaplan and Zoch (2020)
  • 64. Baseline Estimates of Occupation N-intensity P-val Elasticity Share P-val Y N Y = N Sj ;SL Sj N Sj overid Panel C: Instrument: Lagged Monetary Shocks (GMM) High-tech Occs 0.043 0.047 0.287 1.68 20% 0.214 Service Occs 0.079 0.088 0.022 1.80 20% 0.556 Admin, Clerical 0.105 0.126 0.000 2.39 22% 0.287 Managerial Occs 0.210 0.224 0.060 1.48 20% 0.650 Prof. Specialty 0.224 0.239 0.067 1.51 20% 0.341 Sales Occs 0.101 0.088 0.006 0.04 17% 0.222 Production, Repair 0.066 0.061 0.096 0.43 18% 0.670 Constr., Extract., Farm 0.054 0.039 0.001 -1.19 14% 0.437 Machinists, Transp. 0.117 0.092 0.000 -0.68 15% 0.244 First stage: R2 0.16 First stage F 3.14 Table: Stage 2 estimates of occupational factor share parameters back 33 Kaplan and Zoch (2020)
  • 65. Estimates from a New Keynesian DSGE Model Modify Smets-Wouters (2007) to include N-type labor Re-estimate model using de-trended quarterly data on output, wages, consumption, investment, nominal interest rate and labor share from 1955-2007 Posterior mode estimates: Y = 0:36 Y = 0:88 N = 0:83 = 1:30 N-type share = 25% Model generates counter-cyclical labor share in response to monetary policy shocks DSGE IRF 34 Kaplan and Zoch (2020)
  • 66. Occupational Labor Share Data Quarterly sj;t Current Population Survey Outgoing Rotation Group data. January 1989 to December 2018. Monthly data aggregated to quarterly. Age 15, employed. 389 OCC1990 occupation codes aggregated to 9 broad categories Seasonally adjusted. back 35 Kaplan and Zoch (2020)