There are three agents, a, b, and c. Person a receives $500 in income, b receives $400, and e gets$100. How much income of the total income does the poorest 1/3 receive? How much does thebottom 2/3 receive? Graph the Lorenz Curve. Calculate area B. Caleulate area A. What is thegini coefficient? Use a graph like the one below to draw a picture of the Lorenz curve and help incalculating areas A and B.%income100% = 1-%population100% - 1

Gini coefficient: It refer to the curve under which the actual difference can be measured to know…

Answered: There are three agents, a, b, and c.…

Micro Economics For Today

10th Edition

ISBN:9781337613064

Author:Tucker, Irvin B.

Publisher:Tucker, Irvin B.

Chapter12: Income Distribution, Poverty, And Discrimination

Section: Chapter Questions

Problem 17SQ

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Table 15.9 shows the share of income going to each quintile of the income distribution for the United Kingdom in 1979 and 1991. Use this data to calculate what the points on a Lorenz curve would be, and sketch the Lorenz curve. How did inequality in the United Kingdom shift over this time period? How can you see the patterns in the quintiles in the Lorenz curves?
What is measured on the two axes of a Lorenz curve?
Below is a Lorenz Curve for a given country. Suppose its government establishes a 10% income tax on persons earning more than $500,000/year and uses the proceeds to subsidize secondary education. Show how the tax would affect income inequality by drawing the new Lorenz Curve.
8. Four students have yearly incomes of $5,000, $15,000, $20,000, and $60,000. a. Make a table of the Lorenz Curve and use the Trapezoidal Rule with 4 trapezoids to find the area under the Lorenz Curve. Your answer should be correct to 2 places after the decimal point. The area under the Lorenz Curve is b. Use the results of Part a to find the Gini Index. Your answer should be correct to 2 places after the decimal point. The Gini Index is
4.
The table below shows the share of income going to each quintile of the income distribution for a nation in 1950 and 2000. Use this data to calculate what the points on a Lorenz curve would be, and sketch the Lorenz curve. The purple line represents 1950. The green line represents 2000. Share of income received 1950 2000 Bottom 20% 10% 5% Bottom 40% 30% 15% Bottom 60% 50% 35% Bottom 80% 75% 60% All 100% |100% 100% Provide your answer below: 110 100 -90 -80 (90, f0) (100, 70) 60 Perfect Equality (100,50) Year 2000 50 (80,50 Year 1950/ 40 (70, 30) 30 (50, 20) 20 (90, 20) 10 (60, 10) 60 80 Income Quintiles 20 40 100 -10 Cumulative Share of Income
The graph shows a Lorenz curve for an economy with a total income of 30000; Share of Income A B = C DE I 20% 40% 60% 80% 100% suppose that A=100%, b=48%, c=23%, D=9% and E=2% Percentile How much income is earned by each quintile? (Just enter the number without $ sign) Hint: You know the total income in this economy (30000) you need to use this number in your calculations Quintile 1 (poorest) = type your answer... Quintile 2 = type your answer... type your answer... Quintile 3 Quintile 4 =
Step on how to solve on Excel. In a certain country, the population consists of five blue people and five green people. Each green person has an income of $2 per year. Each blue person has an income of $6 per year.a. Draw the Lorenz Curve for this country.b. On your diagram from Part a, indicate clearly what area you would divide by what other area to calculate the Gini Coefficient.c. Calculate the Gini Coefficient. Show your work.
What is the Lorenz curve and what does it illustrate? Are incomes distributed equally? What would happen if incomes were equal? Why do you think income distribution is so unequal? Identify and explain three reasons.
a) With the following data draw a Lorenz Curve, putting labels on the graph and writing out data point values. Explain what the Lorenz Curve illustrates, and what the results mean. b) Now explain how one gets the Gini Coefficient from the Lorenz Curve, and what information the coefficient provides.
Below is a Lorenz Curve for a given country. Suppose its government cuts spending on Medicaid, Supplemental Nutrition Assistance Program and other aids to the poor. Show how the spending cuts would affect income inequality by drawing the new Lorenz Curve.
Below is a Lorenz Curve for a given country. Suppose its government establishes a 10% income tax on persons earning more than $500,000 per year and uses the proceeds to subsidize secondary education. Show how the tax would affect income inequality by drawing the new Lorenz Curve.

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