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- Let y = L,(x), y = L2(x), y = L3(x) be the Lorenz curves of Country A, B and C, respectively. 0.8- 0.6 y = x y = L3(x) 0.4 - = L2(x) y = L1() 0.2 0.2 0.4 0.6 0.8 Which of the following statements is/are TRUE? I. Country C has the least inequality in income distribution. II. The distribution of income in Country A is more equitable than in Country B. III. Country C has the highest Gini index. IV. There is greater inequality in income distribution in Country B than in Country C.Q8.4) Formula for Gini Coefficient from Lorenz CurveA / A + BWhat does the A and B represent?Based on the information in the Lorenz curve above, which of the following is true? (number 4)
- Suppose a Lorenz curve for a particular country is f(x)=x^2for 0≤x≤1. What is the Gini index of income concentration for this country? Give your answer to the nearest integerNo 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)?What is measured on the two axes of a Lorenz curve?
- -Suppose Country A and Country B have the followingpopulation and income distributions: Draw a Lorenz Curve for each country. Additionally, comment on which country ismore unequal.The Lorenz curve for Bangladesh looks like this: Cumulative percentage of income 100 58.7 37.4 21.3 8.9 Bangladesh Lorenz Curve 20 60 80 Cumulative percentage of population 40 100 04 How much income do individuals in the second income quintile in Bangladesh receive?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.
- 100% Cumulative percentage of income 90% -Jарan 80% --- Portugal 70% 60% 50% 40% 30% 20% 10% 0% 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% Cumulative percentage of households Figure 5 Lorenz curves for Japan and Portugal Examine the Lorenz Curves for Japan and Portugal shown in Figure 5. Which of the following statements are correct? Select one or more answers. Select one or more: O The top quintile (top 20%) of households in Portugal have a higher share of total income than the top quintile (top 20%) of households in Japan. The bottom decile (bottom 10%) of households in Japan have a lower share of total income than the bottom decile (bottom 10%) of households in Portugal. Portugal will have a lower Gini coefficient than Japan. Japan has a lower level of income inequality than Portugal.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 2Draw the Lorenz curve and compute the Gini index of a group whose annual incomes (in thousands of dollars) are given by the following frequency table. Value Frequency 30 2 50 4 60 5 90 4 100 3 120 2