http:// progressive increase in educational levels of the population 1940: 60% elementary educated,...
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http://www.dallasfed.org/fed/annual/2004/ar04.pdf
Progressive increase in educational levels of the population
1940: 60% Elementary Educated, 5% college educated
2004: 7% elementary educated, 25% college educated
Money Earnings (Mean) for Full-Time,
Year-Round Male Workers, 2003
Lifetime Sum of College vs High School Earnings
$593,000
Money Earnings (Mean) for
Full-Time, Year-Round Female Workers, 2003
Lifetime Sum of College vs High School Earnings
$415,000
College Enrollment and College Wage Premium
Based on Ehrenberg and Smith. 2006: Table 9.1, p. 286
6 point increase in wage premium raise male enrollment by 1 point
3 point increase in wage premium raise female enrollment by 1 point
Stylized Facts Regarding Age Earnings Profiles
1) All profiles flatten with ageMost rapid wage growth early in career
2) Earnings increase with education
3) Earnings gap between education groups widens with age
4) Male female comparisons1) Female earnings lower than male earnings
2) Female wage profiles flatter than men
Note: These are synthetic cohorts—longitudinal data may differ especially for women
Factors affecting returns to college in the Human Capital Model
Ht = Earnings from High School Education in year t
St = Earnings from College Education in year t
Ct = College Tuition in year t
r = Rate of time preference
T = Time Span
Factors affecting returns to college in the Human Capital Model
PVS = 5 6 75 6 7
...(1 ) (1 ) (1 ) (1 )
TT
S S S S
r r r r
PVC = Present Value of College Costs
PVS = Present Value of College Salary
PVC = 3 3 51 1 2 2 4 42 3 4 5
...(1 ) (1 ) (1 ) (1 ) (1 ) (1 )
TT
H C HH C H C H C H
r r r r r r
Ht => decreases incentive to invest
St => increases incentive to invest
Ct => decreases incentive to invest
r => decreases incentive to invest
T => increases incentive to invest
NPV = 3 3 5 51 1 2 2 4 42 3 4 5
( ) ( )( ) ( ) ( ) ( )...
(1 ) (1 ) (1 ) (1 ) (1 ) (1 )T T
T
H C S HH C H C H C S H
r r r r r r
Factors affecting returns to college in the Human Capital Model
NPV: Net Present Value
Internal rate of return: the interest rate that sets NPV = 0
Measure of the returns to college
NPV = 3 3 5 51 1 2 2 4 42 3 4 5
( ) ( )( ) ( ) ( ) ( )...
(1 ) (1 ) (1 ) (1 ) (1 ) (1 )T T
T
H C S HH C H C H C S H
r r r r r r
Factors affecting returns to college in the Human Capital Model
How does human capital investment model explain the pattern of age earnings profiles?
1) All profiles flatten with ageMost rapid wage growth early in career
Role of T in human capital investment
As age increases, incentive to invest falls
How does human capital investment model explain the pattern of age earnings profiles?
2) Earnings increase with education
S>H required for investment
How does human capital investment model explain the pattern of age earnings profiles?
3) Earnings gap between education groups widens with age
More educated get more firm-provided training
Sorting on r: More educated have lower r?
How does human capital investment model explain the pattern of age earnings profiles?
4) Male female comparisons1) Female earnings lower than male earnings
Discrimination?Role of discontinuous labor supply
Human capital decay affects occupational choiceAbsence decreases wages
How does human capital investment model explain the pattern of age earnings profiles?
2) Male female comparisons2) Female wage profiles flatter than men
Role of marital status in age earnings profiles
How does human capital investment model explain the pattern of age earnings profiles?
2) Male female comparisons2) Female wage profiles flatter than men
How have these changed over time
How high do returns have to be for college to break even?
NPV = 3 3 5 51 1 2 2 4 42 3 4 5
( ) ( )( ) ( ) ( ) ( )...
(1 ) (1 ) (1 ) (1 ) (1 ) (1 )T T
T
H C S HH C H C H C S H
r r r r r r
= 0 at breakeven
C = $5,000/year
H = 20,000/year for 44 years
r = 0.10
PV College cost = $79,250
Breakeven
S – H = $8,104 over 40 years
Total: $324,000
C = $15,000/year
H = 20,000/year for 44 years
r = 0.10
PV College cost = $110,950
Breakeven
S – H = $11,346 over 40 years
Total: $453,830
Diminishing returns to schooling
Why?
Opportunity cost
Direct cost
Marginal Product of time invested in schooling
Computing returns to schooling
ln(W) = β0 + β1 ED + β2 EXP + β3 EXP^2 + γZ + ε
β1 is a measure of the percentage returns to an additional year of schooling
Log Earnings Function
Alternative estimates of the returns to schooling as summarized in David Card, Handbook of Labor Economics Vol. 3A . 1999
Card, 1995 0.084
Card, 1999
Men 0.106
Women 0.110
Conneely and Uusitalo, 1997 0.114
Ashenfelter and Zimmerman, 1997 0.08 – 0.109
If individuals get returns to schooling, why should the public subsidize it?
Externalities: Benefits go to individuals other than the one receiving schooling
=>Individuals will underinvest relative to social optimum
Liquidity constraints: individuals cannot borrow against future expected returns
=>Poor will underinvest
Tuition and Fees23%
Federal Appropriations
2%
State Appropriations
28%Aux. Enterprises13%
Independent Oper.4%
Contracts and Grants24%
Other6%
http://www.public.iastate.edu/~inst_res_info/FB06files/finfac06.html
Iowa State University Revenue by Source, FY2005
–––2000-2001––– –––2004-2005–––
DOLLARS % DOLLARS % GROWTHRevenues
State Appropriations 281,459 38.6% 236,156 28.5% -16.1% Federal Appropriations 10,802 1.5% 12,446 1.5% 15.2% Tuition and Fees 118,332 16.2% 193,547 23.4% 63.6% Contracts and Grants 139,990 19.2% 197,838 23.9% 41.3%
Auxiliary Enterprises1 103,649 14.2% 106,093 12.8% 2.4%
Independent Operations2 25,317 3.5% 29,075 3.5% 14.8%
Other3 48,716 6.7% 52,767 6.4% 8.3%
Total $728,265 $827,922
Revenues rose by 13.7% compared to 12.3% for inflation
Iowa State University Revenue by Source, FY2001 and FY2005
(Thousands of dollars)
1 Iowa State Center, Residence System, University Bookstore, Athletic Department.
2 Ames Laboratory.
3 Sales of educational activities and equipment, investment income
Source: What D'Ya Know? Lifetime Learning in Pursuit of the American Dream 2004 Annual Report—Federal Reserve Bank of Dallas
Higher Proportion Educated means higher per capita income, faster growth
Correlation or causation?
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-.2 -.1 0 .1 .2 .3 .4 .5 .6Difference between male and female enrollment in rural areas
Gender Differences (by urban and rural) for ages 15-17
45o line: male = female
>0: Rural Male ed > Female ed
>0: Urban Male ed > Female ed
Higher enrollment
Quad 1: Males
Quad 2: Urban male, Rural Females
Quad 3: Females
Quad 4: Rural Males, Urban Females
III
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Male and Female Enrollment Rates, Ages 15-17, 70 Developing countries