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Intergenerational Mobility
What do we mean by Intergenerational Income Mobility?
Is it better to have higher or lower intergenerational income correlation?
Intergenerational Mobility
Measuring Intergenerational Income Mobility (Solon 1992)
ρ is the estimate of intergenerational income correlation between son’s income (y1) and their father’s (y0).
If ρ is close to zero what would that mean? How about one?
iii yy 01
Intergenerational Mobility
Measuring Intergenerational Income Mobility (Solon 1992)
Was often estimated to be 0.2 or less.
This should be easy to do right? What does Solon say are problems with previous studies?
iii yy 01
Intergenerational Mobility
1. Measurement error in key variables. We can’t observe what we want to see, which is “permanent income” Rather, we see some indicator of “permanent income” (e.g., income in
one year)
(son i’s income in year s) (father i’s income in year s) Measurement error in “permanent income” will bias our estimates
toward zero. Why? Mathematically?
Intuitively?
isiis vyy 111 isiis vyy 000
Intergenerational Mobility
2. Overly homogeneous samples These studies have often been run on strange samples due to data
constraints (fathers included only twins who served in armed forces, or Wisconsin high school grads who did not go to graduate school).
Why might this cause trouble? Mathematically?
Intuitively?
Intergenerational Mobility
How does Solon attempt to overcome these issues? Sample Homogeneity?
Measurement error in key variables?
Intergenerational Mobility
So Intergenerational income mobility appears to be well above 0.4 rather than 0.2, how would we interpret this? Is it a big deal?
Under some assumptions, we can do some calculations Consider a son born to a father in the fifth income percentile (i.e., poor)
If ρ is 0.2: Likelihood of staying in bottom quintile = 0.30 Likelihood of rising above the median = 0.37 Likelihood of rising to top quintile = 0.12
If ρ is 0.4: Likelihood of staying in bottom quintile = 0.49 Likelihood of rising above the median = 0.17 Likelihood of rising to top quintile = 0.05