Percentile of the distribution and the worker

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Consider an economy with the following income distribution: Each person below the 25th percentile of the income distribution earns $15,000. Each person between the 25th and 50th percentiles earns $30,000. Each person between the 50th and 75th income percentiles earns $45,000. And each person between the 75th and 100th percentiles earns $60,000.

Household percentile

House hold income

 

 

Below 25th

15,000

 

 

26th- 50th

30,000

 

 

51th -75th

45,000

 

 

76thand above

60,000

 

 

a. Graph the Lorenz Curve and calculate the Gini Coefficient for this economy. (Hint: you can use the following table to make the necessary calculations to build the Lorenz Curve) Household Percentile Household Income Share of Income Cumulative Share of Income below 25th $15,000 26th - 50th $30,000 51th - 75th $45,000 76th and above $60,000

b. Calculate the 90/10 wage gap (i.e. the percent wage differential between the worker at the 90th percentile of the distribution and the worker at the 10th percentile of the distribution).

Reference no: EM131046149

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