5- Calculate Gini coefficient for a country with the following deciles in income share data: Country X: 30 (richest quantile) 20 15 10 5 5 5 What is the area under the Lorenz Curve? Please show your diagram. 5 3 2
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- What is measured on the two axes of a Lorenz curve?If a country had perfect income equality what would the Lorenz curve look like?The data in the table below shows the income of some random people in Massachusetts. If these were the only people in Massachusetts what is the average (absolute) difference in income among all the pairs? nаme Pre-tax income Mayor Wu $20 Tom Brady $120 Matt Damon $60 QUESTION 12 (continued) What is the Gini coefficient for Massachusetts?
- 1. Below is a hypothetical breakdown of the income distribution in a country. Use those calculate what should be graphed on the Lorenz curve and then sketch a Lorenz curve for those given numbers. Using that Lorenz curve show how a Gini coefficient would be calculated and explain what the values of the Gini coefficient mean. (you do not have to calculate the Gini, just describe how you could do so)? Quintile Bottom 20% Lower Middle 20% Middle 20% Upper Middle 20% Top 20% Percent of GDP Received 16 20 $22. Constructing a Lorenz curve from income shares data The following table shows the approximate income distribution for Peru, Bulgaria, and Lithuania in 2016. In particular, it shows the income shares of each fifth of the income distribution. Percentage Share, 2016 Percentage of Families Peru Bulgaria Lithuania Lowest fifth 4 9 7 Second-lowest fifth 8 14 12 Middle fifth 12 17 16 Second-highest fifth Highest fifth 20 22 22 56 38 43 has the most total income. On the following graph, plot the Lorenz curves for the three countries. Plot Peru's Lorenz curve using the green points (triangle symbol), Bulgaria's Lorenz curve using the blue points (circle symbol), and Lithuania's Lorenz curve using the purple points (diamond symbol). Be sure to plot the first point of each Lorenz curve at (0,0). Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. CUMULATIVE PERCENTAGE OF MONEY INCOME graph.) 100 20 40 60 80 100…What is the Lorenz Curve and how do you use it to calculate a Gini coefficient?
- 3. Comparing Gini coefficients of different countries Aa Aa The following diagram shows the Lorenz curves for three countries. Country X's Lorenz curve is shown in blue, Country Y's Lorenz curve is shown in red, and Country Z's Lorenz curve is shown in green. Region I is the area above Country X's Lorenz curve and below the 45-degree line. Region II is the area below Country X's Lorenz curve and above Country Y's Lorenz curve. Region III is the area below Country Y's Lorenz curve and above Country Z's Lorenz curve. Region IV is the area below Country Z's Lorenz curve. INCOME (Cumulative percent) 100 80 60 40 20 0 The Gini coefficient for Country Z is given by Couny X 20 Country Y Country Z 11 III 60 IV 40 100 HOUSEHOLDS (Cumulative percent) 80 has the highest Gini coefficient.nd Study Tools tions ccess Tips cess Tips Back 2. Constructing a Lorenz curve from income shares data The following table shows the approximate income distribution for Colombia, Ukraine, and Turkey in 2011. In particular, it shows the income shares of each quintile of the income distribution. Income Group Lowest quintile Second quintile Third quintile Fourth quintile Highest quintile Percentage of Total Income, 2011 Turkey Colombia Ukraine 2 9 5 6 14 10 17 14 21 50 18 63 22 38 has the most total income. On the following graph, plot the Lorenz curves for the three countries. Plot Colombia's Lorenz curve using the green points (triangle symbol), Ukraine's Lorenz curve using the blue points (circle symbol), and Turkey's Lorenz curve using the purple points (diamond symbol) Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically.Explain Lorenz curve in short witha diagram
- 10) What does a Lorenz curve show? Show a Lorenz curve for a country like the USA where there is a difference between income of the population.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…Instructions: Use the interactive tool to plot Lorenz curves for the information in the table. Quintile 1st % of Income, United States, 5 2010 % of Income, Bangladesh, 2010 9 2nd 10 13 3rd 14 16 United States data from Census.gov, before-tax income, rounded to 1/100ths. Data for Bangladesh from WorldBank.org, rounded to 1/100ths. 4th 20 21 5th 51 41 Report your answers to two decimal places. According to these data, the Gini coefficient for the United States in 2010 is The Gini coefficient for Bangladesh in 2010 is These data indicate that in 2010, income inequality is (Click to select) in the United States compared to Bangladesh.
