The Lorenz curve of income distribution in North is f(x) = 0.1x4 +0.4x³ +0.3x² +0.2x The Gini coefficient in North is... O...y=0.32 O...y = 0.52 O...y = 0.36 O...y=0.64
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- The Gini coefficient for the nation with Lorenz curve of income distribution fix) = 0.2x +0.3x+0.5x %3D is... O...y 0.4. O...Y = 0.25. Y 0.8. %3D ... O..y = 0.2.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 +B is 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.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
- Q2] Compute the Gini coefficient assuming the region beneath the two respective Lorenz curve is 0.4 for country A and 0.2 for country B.5- Calculate Gini coefficient for a country with the following deciles in income share data: Country X: 30 (richest quantile) 20 What is the area under the Lorenz Curve? Please show your diagram. 10 5 5 5 5 3 22.2 = 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.
- 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 incomeWhich of the following statements regarding the Gini coefficient are correct? A. It is the measure of the average difference in income between every pair of individuals in the population. B. It can be calculated exactly as g=A/(A+B), where A is the area between the Lorenz curve and the 45-degree line, and A + B is the area under the 45-degree line. C. The fraction A/(A+B) is an accurate approximation when the population is small. D. If 50% of a large population owned 2% of the wealth each, then the Gini coefficient equals 0.6.No written by hand solution Consider a 100-person economy, where half of the population receives 20% of the total income and the other half the remaining 80%. Using the Lorenz-curve approximation, what is the Gini coefficient in this economy (please use the comma to seprare decimals, such as: x,y)?
- 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.Q8.4) Formula for Gini Coefficient from Lorenz CurveA / A + BWhat does the A and B represent?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