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China's Human Capital Stock 
- An Estimation Based on ROWA 
Jingyuan Cui & Yang Yao 
The China Center for Economic Research 
& 
The National School of Development 
Peking University 
October 27, 2014 1
The existing methods 
• The cost-based approach 
– Comparable with the measure of physical capital 
– Difficult to get data 
– Does not reflect the quality of output 
2014/10/27 2
The existing methods 
• The life-time income approach 
– Rely on many assumptions 
• The market is efficient to properly remunerate human capital 
• A proper estimation of a country’s growth rate 
• A proper estimation of the discount factor 
– Cause underestimation of human capital stocks in developing 
countries 
• A fresh university graduate in China earns one sixth as much as his 
American counterpart 
– Tautological when it is used to explain economic performance 
• Because it is constructed by taking into account future growth 
2014/10/27 3
A simple new method 
• The rate-of-return weighted average (ROWA) of 
education 
– The RoR of education is estimated for each age group 
– Take one age group as the reference (16 years old in this study) 
– The weight of an age group = its RoR/RoR of the reference 
group 
– The weight*average schooling years of the same age group is 
the RoR weighted average schooling years of that age group 
– The ROWA of the population is the population share-weighted 
average of the RoR weighted average schooling years of each 
age group 
2014/10/27 4
ROWA has several advantages 
• It is simple 
• Does not rely on significant assumptions 
• Takes care of the quality of education output 
• Independent of country size 
• Easy for international comparison 
2014/10/27 5
• Two data sources: 
Data 
– The 2010 wave of CFPS (China Family Panel Studies, 
www.iSSS.org.cn) 
• A US PSID type of survey 
• Provides individual-level education and earning data 
– The Sixth Census (2010) 
• Provides average education and size of age cohorts 
• Estimating the RoR 
– The urban working sample of the CFPS is used to estimate the 
age-specific RoR 
– The estimated RoR is applied to the rural sample 
– Aggregation is based on the census data 
2014/10/27 6
Years of schooling 
12 
10 
8 
6 
4 
2 
0 
Years of Schooling by Age 
15 25 35 45 55 65 
Schooling 
Age 
Population 
Male 
Female 
2014/10/27 7
Estimating the RoR 
Dependent variable=ln(monthly Income) 
Variables Coeffcients 
Male 
0.262*** 
(0.060) 
Work Experience 
0.097*** 
(0.030) 
Square of Work Experience 
-0.002*** 
(0.001) 
Years of schooling 
0.086*** 
(0.030) 
Years of schooling * Work Experience 
0.004 
(0.003) 
Years of schooling * Work Experience^2 
-0.000*** 
(0.000) 
Years of schooling * Work Experience^3 
0.000*** 
(0.000) 
2014/10/27 8
RoR by Age and Gender 
16.0% 
14.0% 
12.0% 
10.0% 
8.0% 
6.0% 
4.0% 
2.0% 
0.0% 
RoR by Age and Gender 
15 25 35 45 55 65 
RoR 
Age 
Population 
Male 
Female 
2014/10/27 9
RoR-adjusted Schooling by Age and Gender 
14 
12 
10 
8 
6 
4 
2 
0 
Actual and RoR-adjusted Schooling Years 
15 25 35 45 55 65 
Schooling Years 
Age 
RoR-adjusted 
Schooling 
Years 
2014/10/27 10
The ROWA 
• 16 years old equivalent 
• For the population of 16-65 years old: 9.12 years 
• Male: 9.40 years 
• Female: 8.83 years 
2014/10/27 11
Labor force participation rates are low 
100% 
90% 
80% 
70% 
60% 
50% 
40% 
30% 
20% 
10% 
2014/10/27 12 
Source: The Sixth Census (2010). 
0% 
16 21 26 31 36 41 46 51 56 61 66 71 
All 
Male 
Female
Shares of utilized human capital 
100.0% 
90.0% 
80.0% 
70.0% 
60.0% 
50.0% 
40.0% 
30.0% 
20.0% 
10.0% 
0.0% 
15 20 25 30 35 40 45 50 55 60 65 
Share of utilized human capital 
AGE 
Population 
Male 
Female 
2014/10/27 13
Large potentials 
• Only 78% of human capital of the group of 23-65 years 
old are utilized 
• If women’s labor force participation rates are raised to 
men’s levels of the same ages, utilized human capital 
will increase by 9.26%. 
• Implications for China’s long-term growth 
– Higher levels of human capital of young workers will substitute 
for the loss of labor due to negative demographic trends; 
– Raising the retirement ages and other measures to boost labor 
force participation has large potentials 
2014/10/27 14

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HLEG thematic workshop on "Intra-generational and Inter-generational Sustainability", Yang Yao

  • 1. China's Human Capital Stock - An Estimation Based on ROWA Jingyuan Cui & Yang Yao The China Center for Economic Research & The National School of Development Peking University October 27, 2014 1
  • 2. The existing methods • The cost-based approach – Comparable with the measure of physical capital – Difficult to get data – Does not reflect the quality of output 2014/10/27 2
  • 3. The existing methods • The life-time income approach – Rely on many assumptions • The market is efficient to properly remunerate human capital • A proper estimation of a country’s growth rate • A proper estimation of the discount factor – Cause underestimation of human capital stocks in developing countries • A fresh university graduate in China earns one sixth as much as his American counterpart – Tautological when it is used to explain economic performance • Because it is constructed by taking into account future growth 2014/10/27 3
  • 4. A simple new method • The rate-of-return weighted average (ROWA) of education – The RoR of education is estimated for each age group – Take one age group as the reference (16 years old in this study) – The weight of an age group = its RoR/RoR of the reference group – The weight*average schooling years of the same age group is the RoR weighted average schooling years of that age group – The ROWA of the population is the population share-weighted average of the RoR weighted average schooling years of each age group 2014/10/27 4
  • 5. ROWA has several advantages • It is simple • Does not rely on significant assumptions • Takes care of the quality of education output • Independent of country size • Easy for international comparison 2014/10/27 5
  • 6. • Two data sources: Data – The 2010 wave of CFPS (China Family Panel Studies, www.iSSS.org.cn) • A US PSID type of survey • Provides individual-level education and earning data – The Sixth Census (2010) • Provides average education and size of age cohorts • Estimating the RoR – The urban working sample of the CFPS is used to estimate the age-specific RoR – The estimated RoR is applied to the rural sample – Aggregation is based on the census data 2014/10/27 6
  • 7. Years of schooling 12 10 8 6 4 2 0 Years of Schooling by Age 15 25 35 45 55 65 Schooling Age Population Male Female 2014/10/27 7
  • 8. Estimating the RoR Dependent variable=ln(monthly Income) Variables Coeffcients Male 0.262*** (0.060) Work Experience 0.097*** (0.030) Square of Work Experience -0.002*** (0.001) Years of schooling 0.086*** (0.030) Years of schooling * Work Experience 0.004 (0.003) Years of schooling * Work Experience^2 -0.000*** (0.000) Years of schooling * Work Experience^3 0.000*** (0.000) 2014/10/27 8
  • 9. RoR by Age and Gender 16.0% 14.0% 12.0% 10.0% 8.0% 6.0% 4.0% 2.0% 0.0% RoR by Age and Gender 15 25 35 45 55 65 RoR Age Population Male Female 2014/10/27 9
  • 10. RoR-adjusted Schooling by Age and Gender 14 12 10 8 6 4 2 0 Actual and RoR-adjusted Schooling Years 15 25 35 45 55 65 Schooling Years Age RoR-adjusted Schooling Years 2014/10/27 10
  • 11. The ROWA • 16 years old equivalent • For the population of 16-65 years old: 9.12 years • Male: 9.40 years • Female: 8.83 years 2014/10/27 11
  • 12. Labor force participation rates are low 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% 2014/10/27 12 Source: The Sixth Census (2010). 0% 16 21 26 31 36 41 46 51 56 61 66 71 All Male Female
  • 13. Shares of utilized human capital 100.0% 90.0% 80.0% 70.0% 60.0% 50.0% 40.0% 30.0% 20.0% 10.0% 0.0% 15 20 25 30 35 40 45 50 55 60 65 Share of utilized human capital AGE Population Male Female 2014/10/27 13
  • 14. Large potentials • Only 78% of human capital of the group of 23-65 years old are utilized • If women’s labor force participation rates are raised to men’s levels of the same ages, utilized human capital will increase by 9.26%. • Implications for China’s long-term growth – Higher levels of human capital of young workers will substitute for the loss of labor due to negative demographic trends; – Raising the retirement ages and other measures to boost labor force participation has large potentials 2014/10/27 14