In the notes, the following formulas were used to calculate the effect that immigration has had on the wages of the US born workforce.

Wages of high school graduates who do not have a Bachelor's degree.

dln(WH)=- [(1-SH) SC- (1-SH)]dln(D) ****for WD, SH, SC, h and c are subscripts

-[SHSC+ (1-SH)]dln(H)

+ SCdln(C)

Wages of those without a high school diploma

dln(jQuery22407656542219370127_1615489352568) = - [(1-SH) SC+ SH]dln(D)

-[SH SC-SH]dln(H)

+ SCdln(C)

Where we assumed= 0.7, = 0.03,SC=0.60 andSH=0.90.

represents the elasticity of complementarity between college and non-college educated labor.

represents the elasticity of complementarity between H (those with a high school diploma, but no BA) and D (those without a high school diploma).

SC represents college graduates share in total earnings and

SH represents H's earnings as a share of non-college graduate earnings.

We did the calculation assuming none of the foreign born had immigrated. Another thought experiment could be to assume that undocumented immigration did not happen. Using some of Borjas's estimates, Icalculated that, in 2019, undocumented workers represented 34% of the US workforce without a HSdiploma,5% of the workforce with ahigh school diploma but no Bachelor's degreeand 3% of the workforce with a Bachelors.Use (1) and (2) to calculate the change in log wages if undocumented workers did not enter the US workforce (under the assumption that this does not affect the size of the US born workforce or its educational composition).

What if = 0.5.Comments on the difference between results with = 0.03and = 0.5.