What is human capital? Overview within the lecture
What is human capital?
Qualities of people that are productive (i.e. useful in producing more output)
-Health
-Education
-…
Qualities of people that are produced through investment
Earns a return to the worker if he/she works (cf. physical capital)
Depreciates over time
Overview within the lecture:
Possible drivers of income differences considered in previous lectures:
-Physical capital
-Population (quantity of labor)
Now: differences in the quality of labor or human capital as an explanation for income differences among countries
Health as Human Capital: Health and income differences
Heigh is a good indicator of malnutrition (exp. in first years of life)
-> In the US little correlation between height and wages
-> In Brazil, where malnutrition is extensive, high correlation between height and wages
Two way interaction between health and income
Health and income:
How health interacts with income:
-> The intersection of the two curves determines the equilibrium levels of income and health
Health as Human Capital: Effects of exogenous shift in income
Consider a change in income that is unrelated to health (e.g. an exogenous improvement in productive technology. For every level of health, we have a higher level of income): for each level of h, higher y
Impact on equilibrium levels of health and income:
-Workers of any given health level can now produce more output
-The initial increase in output will in turn improve health
-The improved health will in turn increase output
-> Multiplier effect
Health as Human Capital: Health and income per capita: two views
Question: What is the primary source of differences in health and income between countries?
The Health view: all differences between countries have their roots in the countries’ health environments - that is, in things other than income that also affect health (geography, climate, diseases, etc.)
The Income view: all differences between countries have their roots in aspects of production that are unrelated to health (e.g. physical capital accumulation or technology)
Education as Human Capital
In advanced economies, cognitive ability is far more important than physical ability in determining a person’s wage
Investment in education is a key form of investment in human capital
Direct costs: Like investments in physical capital, investment in human capital through education is costly (6,2% of US GDP)
Opportunity costs: Foregone income while in school - Almost as large as direct costs (12,4% of US GDP, same as investment in physical capital)
Education as Human Capital: Education and wages (Measuring)
Physical capital earns a return - firms or workers are willing to pay to use a piece of physical capital
-> Measuring productivity of physical capital by looking at the rent it commands in the market
-> Measuring productivity of human capital is not as obvious
Education as Human Capital: Return to eductation / What does a wage consist of
A person’s wage consists of two parts:
Raw labor (The person without human capital)
Human Capital
Education as Human Capital: Effects of education on wages & Returns to schooling
Education as Human Capital: Human capital’s share of wages / Decomposing the payment to labor
Physical capital’s share of GDP: 1/3
2/3 of GDP paid to labor
Decompose payment to labor in two parts:
Payment to raw labor
Payment to human capital
Education as Human Capital: Share of human capital in wages & GDP
Share of human capital in wages:
Share of human capital in GDP:
Solow model with Human Capital: How much can differences in education explain differences in income across countries using the Solow mode?
Big differences in levels of human capital across countries
-> To what extent can income difference be accounted for by human capital?
Solow model augmenten with Human Capital, change in capital & steady states
h = amount of labor input per worker (human capital)
Production function depending on the quality of labor:
Change in capital:
Steady-state levels:
Solow model with Human Capital: Comparing two countries & Example
-> Variation in education explains some, but not all of the variation in income per worker among countries
-> Quality of education matters as well
Mankiw Romer Weil: Allowing growth in human capital & Assumptions
In this version: human capital is constant over time
-> What if we consider the variation of human capital over time?
Makiw Romer Weil: Law of accumulation of physical capital
Capital per effective unit of labor:
Multiplying both sides by kj:
Makiw Romer Weil: Law of accumulation of human capital
Human capital per effective unit of labor:
Multiplying both sides by hj:
Makiw Romer Weil: Augmented Solow Model overview of formulas
Cobb-Douglas production function of country j:
Output per effective unit of labor:
Accumulation of capital and human capital:
Makiw Romer Weil: Augmented Solow Model overview of steady states
Makiw Romer Weil: How does the Solow model compare to the data? Regression analysis
They consider:
Does the data support the Solow’s model predictions?
Makiw Romer Weil: Basic Solow Model: Estimates
MRW first estimate equation (IV) without the human capital term for the cross-sectional sample of non-oil producing countries
Makiw Romer Weil: Testing the Augmented Solow Model & Result analysis
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