QUESTION 43 The Gini coefficient can be approximated from the Lorenz curve by the g=A/(A+B), where A is the area between the Lorenz curve and the 45-degree line and A +Bis the area under the 45-degree line. Consider a population with three members and an aggregate income of 100. Which of the following statements are correct? O When the incomes are (50, 50, 0), the approximated Gini coefficient is 0.5. When the incomes for the thre members are (100/3, 100/3, 100/3), the approximate Gini coefficient is 0. O When the incomes are (100, 0, 0), the approximated Gini coefficient is 1. O A gini coefficient of 1 implies complete equality.

QUESTION 43 The Gini coefficient can be approximated from the Lorenz curve by the g=A/(A+B), where A is the area between the Lorenz curve and the 45-degree line and A +Bis the area under the 45-degree line. Consider a population with three members and an aggregate income of 100. Which of the following statements are correct? O When the incomes are (50, 50, 0), the approximated Gini coefficient is 0.5. When the incomes for the thre members are (100/3, 100/3, 100/3), the approximate Gini coefficient is 0. O When the incomes are (100, 0, 0), the approximated Gini coefficient is 1. O A gini coefficient of 1 implies complete equality.

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

See similar textbooks

Similar questions

If a country had perfect income equality what would the Lorenz curve look like?
What is measured on the two axes of a Lorenz curve?
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?
2.1 In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from y = 0.97x for one year to y = 0.33x + 0.67x for the next year. Find the Gini coefficient of income for both years. (Round your answers to three decimal places.) before after Compare the distributions of income before and after the tax law was passed. Interpret the result. O The change increases the difference in incomes. The change makes no difference in incomes. O There is not enough information to compare the incomes. The change decreases the difference in incomes. O The change makes the incomes equal. Need Help? Read It
Q8.4) Formula for Gini Coefficient from Lorenz CurveA / A + BWhat does the A and B represent?
Canada had the following distribution of Income after taxes in 2006 Based on the information in the tables, which one is the correct Gini coefficient of income inequality? Deciles cumulative share of income Lorenz curve for after tax income in Canada 0% (2006) 1 0% 1 2 2%| 3 6% 0.8 4 11% 0.6 18% 0.4 26% 0.2 37% 50% 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 9 67% share of population 10 100% cumulative share of income equidistribution line O a. 0.47 O b. 0.43 O c. 0.42 O d. 0,44 O e. 0.23 O share of income
Questions Explain three methods of measuring the income inequality of a nation? Page 3 other 2 pages in the pic As in the case of income distribution, calculation of wealth distribution is done by different entities using different measurements, resulting in a disparity in outcomes. In fact, commonly, wealthis narrowly defined as financial wealth—namely, cash on handand the money value of tangible and nonliquid assets. Even justthe market valuation of financial portfolios is commonly used todefine financial wealth. However, some may extend the definitionto include the value of income streams and insurance rights that,for the most part, cannot be transacted or encumbered. Theseinclude Medicare, Medicaid, and Social Security. When suchtransfers and public assistance are included, the poor and manyelderly could benefit, reducing the wealth disparity (Galbraith2016). To obtain net wealth, the value of the debts are subtractedsubtracted from the value of the assets. Galbraith stated…
Cumulative percentage of income 90 80 70 60 50 40 30 20 10 O d 40 20 60 80 Cumulative percentage of population If the area of inequality (area between the line of perfect equality and the Lorenz Curve) equals 0.35 and the area beneath the line of perfect equality (given by OAB in the diagram) equals 0.7, calculate the Gini coefficient. A O AOS о в. 0,6 OC. It is impossible to calculate with the information provided. OD. 0,5 100
Use the figure below, interpreting the red Lorenz curve, it can be concluded that incomes in this nation are: Percentage of income 100 80 60 40 20 20 Lorenz Curve b A 40 60 Percentage of households O unequal, with income inequitably distributed among household groups. O equal, with income equally distributed among all household groups. unequal, with income equally distributed among all household groups. O equal, with income inequitably distributed among all household groups. P B 80 100
The figure below is the Lorenz curve of a population. Based on this figure, which of the following statements are correct? Cumulative share of land (%) Landowners' share of land 100- 30 ר 0 Perfect equality line 50 80 100 Cumulative share of the population from least to most land owned (%) O 50% of the population owns 20% of the land. 30% of the population owns 1% of the land each. O 20% of the population owns 2% of the land each. The bottom 80% own 70% of the land
Consider the Lorenz curves for income for Deneb and Elnath as shown in this figure: Lorenz curves for Deneb and Elnath cumullative income share (%) 8 8 2 2 2 2 2 2 2 2 100 90 80 70 60 40 30 Lorenz curve for Elnath 0 0 10 20 30 40 50 60 70 80 90 100 income percentiles Lorenz curve for Deneb [If the image above doesn't appear click here to open it in a new tab.] Which of the following statements is true? [Hint: You do not need to calculate any areas to answer this question correctly!] The relative income inequalities of Deneb and Elnath cannot be determined from the information given. Income inequality is more extreme in Deneb than it is in Elnath. Deneb and Elnath have the same degree of income inequality. Income inequality is more extreme in Elnath than it is in Deneb.
2.2 = X Suppose that the Lorenz Curve for country A is given by yA and for country B is yB mine which of the two countries has greater inequality in its income -0.3x2 + 0.7x. Use the Gini index to deter- distribution.