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    Copyright 2009 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

    Chapter 6

    HUMAN

    CAPITAL

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    Human capital

    So far, labor is the OTHER factor of production(other than K)

    Yet not all workers are of equal quality

    Healthy and unhealthy

    Educated and not educated

    The human input to production may be seen as a type

    of capital (HUMAN CAPITAL)Human capital HKcomes in two main types:

    health and education

    3-2

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    Human capital is capital

    HK shares many features of physical capital

    Human capital may be productive

    Human capital is itself produced through the process of

    education and trainingNot a natural resource

    Human capital earns a rate of return, which motivates itsproduction Educated or healthier worker earns higher wage

    Good-looking workers earn 12% higher wage than less good-looking workers

    Human capital also wears out

    3-3

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    6-4

    Human capital is positively correlated

    with Gdp per capita

    1. Nutrition versus GDP per Capita

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    6-5

    Human capital is positively correlated with Gdp

    per capita

    2. Life Expectancy Versus GDP per Capita

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    6-6

    Human capital is positively correlated with Gdp per

    capita

    3. Average Years of Schooling Versus GDP per

    Capita

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    HK and per-capita Gdp: what is

    causing what?

    Is economic development (that is: higher per-capita

    Gdp) that feeds into higher health and education

    Or rather are well-fed and well-educated workers to bemore productive and raise per-capita Gdp?

    Who knows? Problem solved with statistical methods

    3-7

    Human capital

    Per-capita Gdp

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    The rate of return to education

    Problem in computing economic return to education:HK is embodied in each person

    Idea

    Educated people typically earn a higher market wagecompared to people with no education

    Premium varies with amount and quality of

    education Take total number of schooling years as a proxy

    Doesnt account for different quality of schooling

    3-8

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    These are average values for rich and poor countries 6-9

    Returns to schooling are diminishing --

    13.4% on primary education 10.1% on low

    secondary 6.8% for higher secondary and tertiary

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    How to compute the rate of return

    (r.o.r) to education

    What is the r.o.r. to the first year of schooling?

    13.4%, that is a person who has gone to school for oneyear will earn 1.134 times the salary of a person with no

    schoolingHow about two years of schooling (with respect to no-

    schooling)?

    W2 = 1.1342 W0 = 1.29

    W0

    How about five years of schooling (wrt no-schooling)?

    W5 = (1.1344 x 1.101) W0 = 1.82

    W0

    The educational premium to 5 years of schooling is 82%

    3-10

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    In the U.S. the educational premium has gone up a lot over

    time. This is true for the rest of the world as well 6-11

    Ratio of Tertiary Wages to High-

    School Wages

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    How much of the cross-country income

    gaps is explained by education?

    We have pinpointed big differences in countries

    levels of HK

    Now want to understand the extent to which suchdifferences translate into differences in income

    per capita across countries

    We just focus on schooling (and not on training orother informal ways of accumulating HK)

    3-12

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    6-13

    Quantitative implications of

    Y = Ak(hL)1-= (h1-A) KL1-

    Formula (6.1) answers the question: What would it be

    the income gap between country i and j when the

    two countries exhibit identical A, n and ?

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    Example

    Problem: In countryj number of years of schooling

    is two; in country i it is 12.

    Compute the income gap in the steady state hj = 1.134

    2 x h0 = 1.29 xh0

    hi = 1.1344 x 1.1014 x1.0684 x h0 = 3.16 x

    h0

    Hence:

    yiss/yj

    ss = hi/h j = 3.16 / 1.29 = 2.47

    3-14

    M t ti ll di t d

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    Copyright 2009 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 6-15

    More systematically: predicted versus

    Actual GDP per Worker using

    schooling years

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    What is left out of our model

    Quality of schooling

    Externalities

    3-16