Factors behind rising U.S. wealth inequality
A decomposition and policy implications
Marcin Lewandowski [FAME|GRAPE & University of Warsaw]
Krzysztof Makarski [FAME|GRAPE & Warsaw School of Economics]
Jan Svejnar [Columbia University & CERGE-EI]
Joanna Tyrowicz [FAME|GRAPE, University of Warsaw & IZA ]
ECINEQ
Washington, July 2025
1 / 33
Motivation 1: The importance of wealth inequality
• Wealth inequality in the United States has been rising since mid-1970s
• Much attention from both policy makers and academics
• Barack Obama calling it “the defining challenge of our times”
• According to Pew Research Center, 61% Americans share this sentiment
Can the story of wealth inequality be told without demography?
2 / 33
Motivation 2: The relevance of demographics
Life expectancy past 65 increased substantially
Up 5+ years: 14.1 years (1950) → 19.5 years (2015), more than 30%
Theory: longevity affects wealth distribution
1. BEHAVIORAL:
↑ incentives for old-age saving
↑ widening gap between young and around-retirement
2. STRUCTURAL:
↑ shifts in cohorts shares (baby boomers)
Empirical question: do demographic changes matter quantitatively for wealth inequality?
3 / 33
Our contribution:
• New decomposition of (changes in) wealth inequality applied to the U.S. data (1949-2016):
1. Adjustment in saving behavior of surviving cohorts
2. Changes in population structure due to shifts in shares of surviving cohorts
3. Impact of generational exchange i.e. inequality contributed by born vs deceased cohorts
• Main findings:
1. Magnitudes of the three factors large
2. Demography (orange+green) trumps saving behavior
3. Saving behavior ⇓ inequality
4. Cohorts with the largest longevity gains contribute the most to wealth inequality
4 / 33
Method
5 / 33
Two dimensions of wealth inequality
Total inequality = Inequality within cohorts + Inequality between cohorts
1. Within: same birth cohort
2. Between: different birth cohorts
U.S. wealth inequality has been increasingly driven by between-cohort wealth inequality
6 / 33
U.S. wealth inequality has been increasingly driven by between-cohort wealth inequality
7 / 33
U.S. wealth inequality has been increasingly driven by between-cohort wealth inequality
8 / 33
Key concepts: Generalized entropy
Generalized entropy
GE() = GEbetween + GEwithin
=
1
( − 1)
C
X
c=1
h
nc

ac
a

− 1
i
+
C
X
c=1
h
nc

ac
a

GEc ()
i
• c – cohort
•  – sensitivity
• nc – share of particular c in the population
• ac
a

– average c wealth relative to global average
• GEc () – wealth inequality inside each c
9 / 33
Key concepts: measuring the change in wealth inequality
A complete decomposition of ∆ in wealth inequality: generalized entropy
∆GE =∆GEbetween + ∆GEwithin
∆GEbetween = ∆nc + ∆

ac
a

| {z }
surviving cohorts
+generational exchange
∆GEwithin = ∆nc + ∆

ac
a

+ ∆GE()c
| {z }
surviving cohorts
+generational exchange
10 / 33
Decomposing wealth inequality
We formulate three propositions, for the part played by
1. exchange of generations
2. population structure
3. saving behavior
in the change of wealth inequality.
11 / 33
Decomposing wealth inequality: the exchange of generations (ins  outs)
Proposition 1: Generational exchange The ∆ in wealth inequality implied by the exchange of
generations between periods t1 and t2 can be decomposed:
• Component 1: a between-cohort effect of the generational exchange
(recently born cohorts, indexed by b; recently deceased indexed by d)
1
2 − 
 B
X
b=1
nt2,b ·

at2,b
at2

−
D
X
d=1
nt1,d ·

at1,d
at1

#
• Component 2: a within-cohort effect of the generational exchange
B
X
b=1
nt2,b · GEw ()t2,b ·

at2,b
at2

−
D
X
d=1
nt1,d · GEw ()t1,c ·

at1,d
at1

12 / 33
Decomposing wealth inequality: the change of population structure of survivors
Proposition 2: Population shares. The ∆ in wealth inequality implied by a change in the population
structure between periods t1 and t2 can be decomposed into:
• Component 3: a between-cohort effect change in population shares of surviving cohorts
1
2 − 
C
X
c=1

(nt2,c − nt1,c ) ·

at2,c
at2

• Component 4: a within-cohort effect of the change in population shares of surviving cohorts
C
X
c=1

(nt2,c − nt1,c ) · GEw ()(t1,c) ·

at2,c
at2

13 / 33
Decomposing wealth inequality: saving behavior of survivors
Proposition 3: Saving behavior The ∆ in wealth inequality implied by a change in individuals’ saving
behavior between periods t1 and t2 can be decomposed into:
• Component 5: a between-cohort change in cohort wealth (saving behavior) of surviving cohorts
1
2 − 
C
X
c=1

n(t1,c) ·

at2,c
at2

−

at1,c
at1

• Component 6: a within-cohort change in cohort wealth (saving behavior) of surviving cohorts
C
X
c=1

n(t1,c) · GEw ()(t1,c) ·

at2,c
at2

−

at1,c)
at1

• Component 7: a change in within-cohort GE index (saving behavior) of the surviving cohorts
C
X
c=1

n(t1,c) · GEw ()(t2,c) − GEw ()(t1,c)

·

at2,c
at2

14 / 33
Implications for modeling wealth inequality
The three propositions yield the following components:
Saving behavior:
• Component 7: Within-cohort driven by GE()c Xfor infinitely lived agents
• Component 6: Within-cohort driven by shifts in average cohort wealth requires OLG
• Component 5: Between-cohort driven by shifts in average cohort wealth requires OLG
Population shares:
• Component 4: Within-cohort driven by shifts in population structure requires OLG+
• Component 3: Between-cohort driven by shifts in population structure requires OLG+
Exchange of generations
• Component 2: Within-cohort driven by exchange of generations requires OLG+
• Component 1: Between-cohort driven by exchange of generations requires OLG+
15 / 33
Take this method to the data
16 / 33
Data source
Survey of Consumer Finances (SCF+) data for 1950-2020 by Kuhn et al (2020)
• Assets - Financial assets (including defined-contribution retirement plans), real estate, cars
• Liabilities - Personal debt and housing debt
• Our measure - Net wealth
Demographic characteristics match Current Population Survey and U.S. Census data
17 / 33
Choose the  (sensitivity) parameter: match Gini
18 / 33
But this  parameter does well also for other measures: top10
19 / 33
Results
20 / 33
Results 1: Decomposition with net impact
21 / 33
Results 2: Decomposition with all seven components
22 / 33
Results 2 : Decomposition with all channels
1. Pattern consistent over time: cohort-level effects are HUGE
2. Pattern consistent over time: Within generational exchange0 (the solid bar)
3. Pattern consistent over time: Between generational exchange0 (the striped bar)
4. Pattern changing over time: Within GE change shifts the sign, though its magnitude is modest
5. Pattern changing over time: the magnitude of Between population structure ⇑
6. Pattern changing over time: the magnitude of Between: generational exchange ⇓
23 / 33
This is a consistent pattern, only magnitudes change (driving net changes)
24 / 33
The full decomposition
• Overall cohort-level effects are HUGE
• Within:generational exchange0, but outweighed by Between:generational exchange0
• Within:GE change shifts the sign and its magnitude is increasing
25 / 33
This is a consistent pattern, only magnitudes change (driving net changes)
26 / 33
Identifying the role of specific birth-cohorts
Question: Do cohorts with ↑ LE65 contribute ↑ to overall inequality?
Two tricks:
• Deaton and Paxson (1994) decomposition
• Recentered Influence Functions: Firpo et al. (2009)  Rios-Avila (2020)
RIF{wealthi , GE()} = βc birth cohortc + βaagea + βy yeary + i
GE() = E[RIF{wealthi , GE()}]
βc – unconditional partial effect of cohort on distributional statistics (GE)
27 / 33
Greater life expectancy =⇒ greater contribution to wealth inequality
1880
1900
1895
1885
1890
1905
1910 1915
1925 1930
1935
1940
1945
1950
1955
1960
1965
1970
−1
−.8
−.6
−.4
−.2
0
.2
.4
.6
.8
1
1.2
GE:
Cohort
effects
relative
to
cohort
born
1920−24
(adjusting
for
age
and
year
effects)
−2 0 2 4 6
Change in life expectancy at age=65, relative to cohort born in 1920−1924
GE: CI (left axis) GE: point estimate of efect size (left axis)
28 / 33
Conclusions
29 / 33
Demographics matters
• Population structure is a key force ⇑ wealth inequality (on the net)
• Generational exchange used to ⇓ wealth inequality (on the net)
• Saving behavior ⇓ wealth inequality (on the net)
• Demographic factors  saving behavior
• Demographics implies shifts much larger than their net effect
• Not per-se evidence of growing inequity
Overall:
• Demographic factors should not be missed in the policy debates
• Economic modeling cannot ignore demographics
30 / 33
Thank you for your attention!
Questions or suggestions?
w: grape.org.pl | Working Paper #100
t: grape org
f: grape.org
e: j.tyrowicz@grape.org.pl
31 / 33
Bibliography
Deaton, A. S. and Paxson, C.: 1994, Saving, growth, and aging in taiwan, Studies in the Economics of
Aging, University of Chicago Press, pp. 331–362.
Firpo, S., Fortin, N. M. and Lemieux, T.: 2009, Unconditional quantile regressions, Econometrica
77(3), 953–973.
Rios-Avila, F.: 2020, Recentered influence functions (rifs) in stata: Rif regression and rif
decomposition, The Stata Journal 20(1), 51–94.
32 / 33

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Factors behind rising U.S. wealth inequality: a decomposition and policy implications

  • 1. Factors behind rising U.S. wealth inequality A decomposition and policy implications Marcin Lewandowski [FAME|GRAPE & University of Warsaw] Krzysztof Makarski [FAME|GRAPE & Warsaw School of Economics] Jan Svejnar [Columbia University & CERGE-EI] Joanna Tyrowicz [FAME|GRAPE, University of Warsaw & IZA ] ECINEQ Washington, July 2025 1 / 33
  • 2. Motivation 1: The importance of wealth inequality • Wealth inequality in the United States has been rising since mid-1970s • Much attention from both policy makers and academics • Barack Obama calling it “the defining challenge of our times” • According to Pew Research Center, 61% Americans share this sentiment Can the story of wealth inequality be told without demography? 2 / 33
  • 3. Motivation 2: The relevance of demographics Life expectancy past 65 increased substantially Up 5+ years: 14.1 years (1950) → 19.5 years (2015), more than 30% Theory: longevity affects wealth distribution 1. BEHAVIORAL: ↑ incentives for old-age saving ↑ widening gap between young and around-retirement 2. STRUCTURAL: ↑ shifts in cohorts shares (baby boomers) Empirical question: do demographic changes matter quantitatively for wealth inequality? 3 / 33
  • 4. Our contribution: • New decomposition of (changes in) wealth inequality applied to the U.S. data (1949-2016): 1. Adjustment in saving behavior of surviving cohorts 2. Changes in population structure due to shifts in shares of surviving cohorts 3. Impact of generational exchange i.e. inequality contributed by born vs deceased cohorts • Main findings: 1. Magnitudes of the three factors large 2. Demography (orange+green) trumps saving behavior 3. Saving behavior ⇓ inequality 4. Cohorts with the largest longevity gains contribute the most to wealth inequality 4 / 33
  • 6. Two dimensions of wealth inequality Total inequality = Inequality within cohorts + Inequality between cohorts 1. Within: same birth cohort 2. Between: different birth cohorts U.S. wealth inequality has been increasingly driven by between-cohort wealth inequality 6 / 33
  • 7. U.S. wealth inequality has been increasingly driven by between-cohort wealth inequality 7 / 33
  • 8. U.S. wealth inequality has been increasingly driven by between-cohort wealth inequality 8 / 33
  • 9. Key concepts: Generalized entropy Generalized entropy GE() = GEbetween + GEwithin = 1 ( − 1) C X c=1 h nc ac a − 1 i + C X c=1 h nc ac a GEc () i • c – cohort • – sensitivity • nc – share of particular c in the population • ac a – average c wealth relative to global average • GEc () – wealth inequality inside each c 9 / 33
  • 10. Key concepts: measuring the change in wealth inequality A complete decomposition of ∆ in wealth inequality: generalized entropy ∆GE =∆GEbetween + ∆GEwithin ∆GEbetween = ∆nc + ∆ ac a | {z } surviving cohorts +generational exchange ∆GEwithin = ∆nc + ∆ ac a + ∆GE()c | {z } surviving cohorts +generational exchange 10 / 33
  • 11. Decomposing wealth inequality We formulate three propositions, for the part played by 1. exchange of generations 2. population structure 3. saving behavior in the change of wealth inequality. 11 / 33
  • 12. Decomposing wealth inequality: the exchange of generations (ins outs) Proposition 1: Generational exchange The ∆ in wealth inequality implied by the exchange of generations between periods t1 and t2 can be decomposed: • Component 1: a between-cohort effect of the generational exchange (recently born cohorts, indexed by b; recently deceased indexed by d) 1 2 − B X b=1 nt2,b · at2,b at2 − D X d=1 nt1,d · at1,d at1 # • Component 2: a within-cohort effect of the generational exchange B X b=1 nt2,b · GEw ()t2,b · at2,b at2 − D X d=1 nt1,d · GEw ()t1,c · at1,d at1 12 / 33
  • 13. Decomposing wealth inequality: the change of population structure of survivors Proposition 2: Population shares. The ∆ in wealth inequality implied by a change in the population structure between periods t1 and t2 can be decomposed into: • Component 3: a between-cohort effect change in population shares of surviving cohorts 1 2 − C X c=1 (nt2,c − nt1,c ) · at2,c at2 • Component 4: a within-cohort effect of the change in population shares of surviving cohorts C X c=1 (nt2,c − nt1,c ) · GEw ()(t1,c) · at2,c at2 13 / 33
  • 14. Decomposing wealth inequality: saving behavior of survivors Proposition 3: Saving behavior The ∆ in wealth inequality implied by a change in individuals’ saving behavior between periods t1 and t2 can be decomposed into: • Component 5: a between-cohort change in cohort wealth (saving behavior) of surviving cohorts 1 2 − C X c=1 n(t1,c) · at2,c at2 − at1,c at1 • Component 6: a within-cohort change in cohort wealth (saving behavior) of surviving cohorts C X c=1 n(t1,c) · GEw ()(t1,c) · at2,c at2 − at1,c) at1 • Component 7: a change in within-cohort GE index (saving behavior) of the surviving cohorts C X c=1 n(t1,c) · GEw ()(t2,c) − GEw ()(t1,c) · at2,c at2 14 / 33
  • 15. Implications for modeling wealth inequality The three propositions yield the following components: Saving behavior: • Component 7: Within-cohort driven by GE()c Xfor infinitely lived agents • Component 6: Within-cohort driven by shifts in average cohort wealth requires OLG • Component 5: Between-cohort driven by shifts in average cohort wealth requires OLG Population shares: • Component 4: Within-cohort driven by shifts in population structure requires OLG+ • Component 3: Between-cohort driven by shifts in population structure requires OLG+ Exchange of generations • Component 2: Within-cohort driven by exchange of generations requires OLG+ • Component 1: Between-cohort driven by exchange of generations requires OLG+ 15 / 33
  • 16. Take this method to the data 16 / 33
  • 17. Data source Survey of Consumer Finances (SCF+) data for 1950-2020 by Kuhn et al (2020) • Assets - Financial assets (including defined-contribution retirement plans), real estate, cars • Liabilities - Personal debt and housing debt • Our measure - Net wealth Demographic characteristics match Current Population Survey and U.S. Census data 17 / 33
  • 18. Choose the (sensitivity) parameter: match Gini 18 / 33
  • 19. But this parameter does well also for other measures: top10 19 / 33
  • 21. Results 1: Decomposition with net impact 21 / 33
  • 22. Results 2: Decomposition with all seven components 22 / 33
  • 23. Results 2 : Decomposition with all channels 1. Pattern consistent over time: cohort-level effects are HUGE 2. Pattern consistent over time: Within generational exchange0 (the solid bar) 3. Pattern consistent over time: Between generational exchange0 (the striped bar) 4. Pattern changing over time: Within GE change shifts the sign, though its magnitude is modest 5. Pattern changing over time: the magnitude of Between population structure ⇑ 6. Pattern changing over time: the magnitude of Between: generational exchange ⇓ 23 / 33
  • 24. This is a consistent pattern, only magnitudes change (driving net changes) 24 / 33
  • 25. The full decomposition • Overall cohort-level effects are HUGE • Within:generational exchange0, but outweighed by Between:generational exchange0 • Within:GE change shifts the sign and its magnitude is increasing 25 / 33
  • 26. This is a consistent pattern, only magnitudes change (driving net changes) 26 / 33
  • 27. Identifying the role of specific birth-cohorts Question: Do cohorts with ↑ LE65 contribute ↑ to overall inequality? Two tricks: • Deaton and Paxson (1994) decomposition • Recentered Influence Functions: Firpo et al. (2009) Rios-Avila (2020) RIF{wealthi , GE()} = βc birth cohortc + βaagea + βy yeary + i GE() = E[RIF{wealthi , GE()}] βc – unconditional partial effect of cohort on distributional statistics (GE) 27 / 33
  • 28. Greater life expectancy =⇒ greater contribution to wealth inequality 1880 1900 1895 1885 1890 1905 1910 1915 1925 1930 1935 1940 1945 1950 1955 1960 1965 1970 −1 −.8 −.6 −.4 −.2 0 .2 .4 .6 .8 1 1.2 GE: Cohort effects relative to cohort born 1920−24 (adjusting for age and year effects) −2 0 2 4 6 Change in life expectancy at age=65, relative to cohort born in 1920−1924 GE: CI (left axis) GE: point estimate of efect size (left axis) 28 / 33
  • 30. Demographics matters • Population structure is a key force ⇑ wealth inequality (on the net) • Generational exchange used to ⇓ wealth inequality (on the net) • Saving behavior ⇓ wealth inequality (on the net) • Demographic factors saving behavior • Demographics implies shifts much larger than their net effect • Not per-se evidence of growing inequity Overall: • Demographic factors should not be missed in the policy debates • Economic modeling cannot ignore demographics 30 / 33
  • 31. Thank you for your attention! Questions or suggestions? w: grape.org.pl | Working Paper #100 t: grape org f: grape.org e: [email protected] 31 / 33
  • 32. Bibliography Deaton, A. S. and Paxson, C.: 1994, Saving, growth, and aging in taiwan, Studies in the Economics of Aging, University of Chicago Press, pp. 331–362. Firpo, S., Fortin, N. M. and Lemieux, T.: 2009, Unconditional quantile regressions, Econometrica 77(3), 953–973. Rios-Avila, F.: 2020, Recentered influence functions (rifs) in stata: Rif regression and rif decomposition, The Stata Journal 20(1), 51–94. 32 / 33