In: Economics
1. Suppose that a pay equity plan has just been put in place in your organization. The pay equity consulting firm did a job evaluation and assigned points to each of the male-dominated and female-dominated jobs. It then estimated the following male and female pay lines by regression, where Y denotes annual earnings, P denotes job evaluation points, and the subscripts m and f denote male and female respectively: Ym = 5000 + 100Pm Yf = 4000 + 80Pf Assume that you were an employee in a female-dominated job and that your job evaluation score was 200. a) What would your pay be before pay equity? b) What would it be after pay equity? What is the magnitude of your pay equity award? Show your answer with steps.
2. In the above example, assume the job evaluation score was 300 in the male-dominated jobs and 200 in the female dominated jobs.
a) what is the average pay in male-dominated and female-dominated jobs?
b) use a Oaxaca decomposition to decompose the average pay differential between male and female-dominated jobs into two components: a portion attributable to the differences in job evaluation points (valued according to male pay for such points) and a portion attributable to differences in pay for the same job evaluation points.
c) use that same decomposition method but this time evaluate the differences in job evaluation points according to the female pay for such points.
1)
Ym = 5000 + 100 Pm
Yf = 4000 + 80 Pf
a) given that Pf = 200, for a female dominated job, the income will be
Yf = 4000 + 80 *200
Yf = 4000 + 16000
Yf = 20000
b) After pay equity, the gender gap is zero, i.e. Ym = Yf. This means that the difference is in the job evaluation score.
5000 + 100 Pm = 4000 + 80 Pf
1000 = 80 Pf - 100 Pm
given Pf = 200
1000 = 16000 - 100 Pm
100 Pm = 15000
Pm = 150
Hence job fro female oriented job to be same as that of male dominated job for 200 evalaution points, male job evaluation points has to 150. Then the pay after equity will be 20000
The magnitude of gender gap would then be zero.
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2.
a) Average pay of male and female domianted jobs-
Ym = 5000 + 100 Pm
Yf = 4000 + 80 Pf
where
Pm = 300 and Pf = 200
Ym = 5000 + 100 *300 = 35000
Yf = 4000 + 80 *200 = 20000
The gender gap = 15000
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b) If male job evaluation score is 200, then their average pay would be
Ym = 5000 + 100 *200 = 25000
difference= 35000 - 25000 = 10000 is due to difference in job evaluation score
and remaining 5000 is gender pay gap because of discrimination in pay due to same evaluation score.
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c)
If female job evaluation score is 300, then their average pay would be
Yf = 4000 + 80 *300
Yf = 4000 + 24000
Yf = 28000
difference = 20000 - 28000 = -8000
This increased pay of 8000 is because of the increase in job evaluation score only.
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