Population Aging, Labor Demand, and the Structure of Wages

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1 Population Aging, Labor Demand, and the Structure of Wages Margarita Sapozhnikov 1 Robert K. Triest 2 1 CRA International 2 Federal Reserve Bank of Boston Assessing the Impact of New England s Demographics November 13, 2009

2 Background The age distribution of the U.S. population will change dramatically in the near future.

3 Background The age distribution of the U.S. population will change dramatically in the near future. The working age (16-64) population is projected to grow just 13% between 2001 and 2025.

4 Background The age distribution of the U.S. population will change dramatically in the near future. The working age (16-64) population is projected to grow just 13% between 2001 and The population aged is projected to increase 90%.

5 Background The age distribution of the U.S. population will change dramatically in the near future. The working age (16-64) population is projected to grow just 13% between 2001 and The population aged is projected to increase 90%. What effect will population aging have on wages?

6 Background The age distribution of the U.S. population will change dramatically in the near future. The working age (16-64) population is projected to grow just 13% between 2001 and The population aged is projected to increase 90%. What effect will population aging have on wages? Will cohort crowding reduce the relative wages of baby boomer in late career?

7 Background The age distribution of the U.S. population will change dramatically in the near future. The working age (16-64) population is projected to grow just 13% between 2001 and The population aged is projected to increase 90%. What effect will population aging have on wages? Will cohort crowding reduce the relative wages of baby boomer in late career? Potentially important implications for Social Security and for the living standards of baby boomers in retirement.

8 Previous Research Easterlin(1961) Freeman (1979), Welch (1979) Berger (1985) Card and Lemieux (2001)

9 Outline Background

10 Data March CPS data, , grouped into cells defined by 5 educational attainment groups single years of potential labor market experience calendar years gender Median average hourly earnings within cells used as wage measure. Labor market experience imputed using synthetic labor force participation histories constructed from decennial census data for each birth cohort.

11 Changes in the Age Distribution

12 New England compared to the U.S.

13 The Evolution of Labor Market Experience for Women

14 The Evolution of Labor Market Experience for Men

15 Changes in the Distribution of Male Experience

16 Changes in the Distribution of Female Experience

17 Changes in the Experience Premium

18 Specification of Production Y t = ( j θ j E ρ jt )1/ρ (1) t indexes time j indexes educational attainemt

19 Specification of Production Y t = ( j θ j E ρ jt )1/ρ (1) t indexes time j indexes educational attainemt E j = ( k α k E η jk )1/η (2) k indexes labor market experience

20 Labor Demand Equations w gh = Y = θ g α h ( E gh ) η 1 Eg ρ 1 ( E gh E g j θ j E ρ j ) ( ρ 1 ρ ) (3) w gh is the wage of workers in educational group g with h years of labor market experience.

21 Labor Demand Equations w gh = Y = θ g α h ( E gh ) η 1 Eg ρ 1 ( E gh E g j θ j E ρ j ) ( ρ 1 ρ ) (3) w gh is the wage of workers in educational group g with h years of labor market experience. ln(w gh ) = ln(θ g ) + ln(α h ) + (η 1)ln( E gh E g ) + (ρ 1)lnE g + ( ρ 1 ρ )ln( j θ je ρ j ) (4)

22 Regression Specification ln(w gh ) = ln(θ g ) + ln(α h ) + (η 1)ln( E gh E g ) + (ρ 1)lnE g + ( ρ 1 ρ )ln( j θ je ρ j ) ln(θ g ) is specified to vary linearly with birth year.

23 Regression Specification ln(w gh ) = ln(θ g ) + ln(α h ) + (η 1)ln( E gh E g ) + (ρ 1)lnE g + ( ρ 1 ρ )ln( j θ je ρ j ) ln(θ g ) is specified to vary linearly with birth year. α h, represents how productivity varies with experience. We specify a piecewise linear spline for α as a function of h. nodes at three, six, nine, and fifteen years of experience.

24 Regression Specification ln(w gh ) = ln(θ g ) + ln(α h ) + (η 1)ln( E gh E g ) + (ρ 1)lnE g + ( ρ 1 ρ )ln( j θ je ρ j ) ln(θ g ) is specified to vary linearly with birth year. α h, represents how productivity varies with experience. We specify a piecewise linear spline for α as a function of h. nodes at three, six, nine, and fifteen years of experience. ln( E gh E g ), is log of relative cohort size. We interact this term with the experience spline variables. The coefficient on this term is the elasticity of wages with respect to the relative size of one s own cohort.

25 Regression Specification ln(w gh ) = ln(θ g ) + ln(α h ) + (η 1)ln( E gh E g ) + (ρ 1)lnE g + ( ρ 1 ρ )ln( j θ je ρ j ) ln(θ g ) is specified to vary linearly with birth year. α h, represents how productivity varies with experience. We specify a piecewise linear spline for α as a function of h. nodes at three, six, nine, and fifteen years of experience. ln( E gh E g ), is log of relative cohort size. We interact this term with the experience spline variables. The coefficient on this term is the elasticity of wages with respect to the relative size of one s own cohort.

26 Regression Specification ln(w gh ) = ln(θ g ) + ln(α h ) + (η 1)ln( E gh E g ) + (ρ 1)lnE g + ( ρ 1 ρ )ln( j θ je ρ j ) ln(θ g ) is specified to vary linearly with birth year. α h, represents how productivity varies with experience. We specify a piecewise linear spline for α as a function of h. nodes at three, six, nine, and fifteen years of experience. ln( E gh E g ), is log of relative cohort size. We interact this term with the experience spline variables. The coefficient on this term is the elasticity of wages with respect to the relative size of one s own cohort. A time trend spline captures changes over time in aggregate labor supply, ((ρ 1)lnE g + ( ρ 1 ρ )ln( j θ je ρ j )).

27 Regression Specification ln(w gh ) = ln(θ g ) + ln(α h ) + (η 1)ln( E gh E g ) + (ρ 1)lnE g + ( ρ 1 ρ )ln( j θ je ρ j ) ln(θ g ) is specified to vary linearly with birth year. α h, represents how productivity varies with experience. We specify a piecewise linear spline for α as a function of h. nodes at three, six, nine, and fifteen years of experience. ln( E gh E g ), is log of relative cohort size. We interact this term with the experience spline variables. The coefficient on this term is the elasticity of wages with respect to the relative size of one s own cohort. A time trend spline captures changes over time in aggregate labor supply, ((ρ 1)lnE g + ( ρ 1 ρ )ln( j θ je ρ j )).

28 Estimation Relative cohort size within educational attainment groups is likely endogenous. Population relative cohort size is used as an instrument for relative cohort size within educational attainment groups. Labor demand equations estimated for data pooled over men and women, and also separately by gender.

29 Coefficients on Relative Cohort Size Interacted with Experience (pooled data for men and women) Less Than High School Some College Post- High School Grad College Grad College 0-3 years years years years years

30 Coefficients on Relative Cohort Size Interacted with Experience (pooled data for men and women) Less Than High School Some College Post- High School Grad College Grad College 0-3 years years years years years Estimated cohort crowding effects for highly educated groups would likely have been larger if changes in fringe benefit coverage were taken into account.

31 Coefficients on Relative Cohort Size Interacted with Experience (separate equations for men and women) Less Than High School Some College Post- High School Grad College Grad College 0-3 years men women years men women years men women

32 Coefficients on Relative Cohort Size Interacted with Experience (separate equations for men and women) Less Than High School Some College Post- High School Grad College Grad College 0-3 years men women years men women years men women

33 Coefficients on Relative Cohort Size Interacted with Experience (separate equations for men and women - continued) Less Than High School Some College Post- High School Grad College Grad College 9-15 years men women years men women

34 Evolution of Relative Cohort Size

35 Coefficients on Labor Market Experience (pooled data for men and women) Less Than High School Some College Post- High School Grad College Grad College 0-3 years years years years years Birth year men women

36 Coefficients on Labor Market Experience (pooled data for men and women) Less Than High School Some College Post- High School Grad College Grad College 0-3 years years years years years Birth year men women Cross-sectional earnings profiles will combine effects of structural earnings profiles, cohort-size effects, and vintage effects.

37 Relative cohort size effects are important. Cohort crowding does not diminish with labor market experience. The magnitude of the cohort size effect is similar for men and women. The cross-sectional return to labor market experience depends on the distribution of cohort sizes.

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