ECON 426 Lecture Notes - Lecture 19: Aggregate Demand, Production Function, Reagan Era

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The Education Premium: a "race" between Demand and Supply
1.
Labor Market Polarization
2.
Why are there still so many jobs?
3.
Overview
Wages Across Education Groups and Skill-biased Technical Change
The education premium

  has typically trended upwards, with a brief "pause" during the
1970s
At the same time, there's been a marked shift towards a more educated workforce
Is the demand for educated labor not downward sloping after all?
Since 1963:
Parsimonious: only a few types
Flexible
Build a model of Demand for Labor inputs of different types:
Allow demand to shift over time
Treat supply as exogenous
The Education Premium: High School vs College
Depends only on relative wages for HS and C type labor
Allows for technical change over time - smooth, regular change
Specify the demand of HS vs. C labor:
Potentially very complex with many different inputs
Input demand will depend on all of input prices
     
Use an aggregate production function:
Aggregate Demand for Different Input Types
        
What do the production isoquants of Young and Old look like?
What will relative wages of Young and Old be?
Young and Old are Perfect Substitutes within Education
     (same for HS)
And
   
--> We can measure band cfrom the relative wages of Young and Old within Education and
write/measure
Simplify Step 1: Perfect Substitutes
       
Next:
What does the MRS between  depend on with and without this simplication?
With weak separability, the relative wage of  depends only on
 

Simplify Step 2: Weak Separability
The parameter pdetermines the elasticity of substitution  

The parameter governs the overall relative demand for the two types of labor
    
  
 

A CES Production Function has:
CES and Implied Demand
Taking Stock…
Lecture 19 - Trends in Earnings Inequality
Tuesday, March 27, 2018
3:19 PM
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Allows writing relative wages as a function of College and High School Labor only
We will write an aggregate production function with College and High School types of Labor
Simple functional form
Simple way to incorporate time changes (technical changes)
Constant Price Elasticity production functions (CES) simplify the problem further:
Taking Stock…
The linear trend in demand embodies the assumption that technological progress proceeds slowly
and regularly
What values of   -- if any -- can fit the data?
Implied Relative Demand
Change in the Education Wage Premium 1963 - 2005
Holding the supply of two types of labor constant, relative wages will change by 2 percentage
points annually in favor of college educated labor
Relative supply of high school to college type labor has to change by about 4% annually to
undo this
What do these mean?
Education premium is likely to continue increasing since educational attainment doesn't rise fast
enough
I projected out what I would expect to happen in the next 20 years based on current trends in education
and demographics:
The Estimated Parameters
1980s - Reagan Era
Proxied maybe by minimum wages
Institutional changes?
By looking at 90/50 and 50/10 inequality measures, we might get an idea of which part of the market is
driving inequality
What Else Could Drive the Observed Changes?
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Document Summary

The education premium: a race between demand and supply. Wages across education groups and skill-biased technical change. The education premium has typically trended upwards, with a brief pause during the. At the same time, there"s been a marked shift towards a more educated workforce. Build a model of demand for labor inputs of different types: Specify the demand of hs vs. c labor: Depends only on relative wages for hs and c type labor. Allows for technical change over time - smooth, regular change. Young and old are perfect substitutes within education. Input demand will depend on all of input prices. -> we can measure b and c from the relative wages of young and old within education and write/measure (same for hs) With weak separability, the relative wage of depends only on. The parameter p determines the elasticity of substitution. The parameter governs the overall relative demand for the two types of labor.

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