The Gini coefficient for the nation with Lorenz curve of income distribution f(x) = 0.2x +0.3x2+0.5x is... O...y 0.4. O...y 0.25. %3D O...y 0.8. Y = 0.2.
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Q: draw the Lorenz curve and compute the Gini index of a group whose incomes are 25, 32, 60, 40, 38, 50
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- If a country had perfect income equality what would the Lorenz curve look like?Q8.2) Lorenz CurveA curve illustrating the degree of equality of income distribution in an economy. It plots thecumulative percentage of income received by cumulative shares of the population. Where dowe fare as a country on the Lorenz curve and what does it say about South Africa’s incomedistributionNo 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)?
- Questions Explain three methods of measuring the income inequality of a nation? 1.kuznet ratio 2. Lorenz curve 3. Gini coefficient 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.…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…a. Is the presence of an underground economy likely to result in a Gini coefficient that overstates or understates poverty? b. Consider a simple economy where 90 percent of citizens report an annual income of $10,000 while the remaining 10 percent report an annual income of $110,000. What is the Gini coefficient associated with this economy? c. Suppose the poorest 90 percent of citizens actually have an income of $15,000 because each receives $5,000 of unreported income from the underground economy. What is the Gini coefficient now?
- Which 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.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 integerA Gini coefficient of 0.15 would indicate that a society’s distribution of income is: A. PERFECTLY EQUAL B. RELATIVELY EQUAL C. MODERATELY UNEQUAL D. VERY UNEQUAL E. THE MOST UNEQUAL POSSIBLE
- Suppose that the Gini coefficient for Niger is 0.23 and the Gini coefficient for Canada is 0.34. From this, it is possible to conclude that these countries have…[Select one] different levels of absolute poverty. different Pigou-Dalton transfers. different levels of severe poverty. different Lorenz curves.The values in the table reflect the percentages of pre-tax-and transfer income. 22. Refer to Table 20-1. The trend in income inequality from 1980 to 2010 is 23. Refer to Table 20-1. If the distribution of income were completely equal, what percentage of income would the bottom fifth of the population earn? 24. A government policy aimed at protecting people against the risk of adverse events is calledGive a numerical example of how the headcount index doesn’t account for changes in the distribution below the poverty line. Assuming that the poverty line is 2, calculate the values of the index for each of the following distributions: a) (1, 2, 3) b) (1.5, 1.5, 3) c) (1, 2, 2, 3) d) (0.75, 2.5, 2.75)
