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 purple, 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. CUMULATIVE PERCENTAGE OF INCOME 100 80 8 40 20 0 0 40 11 Country X O Country Z Country X Country Y Country Z 20 60 80 CUMULATIVE PERCENTAGE OF HOUSEHOLDS IV Based on the graph, the Gini coefficient for Country Y is given by II/ (I + II + III+IV) Which of the following countries has the lowest Gini coefficient? 100 ?

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 purple, 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. CUMULATIVE PERCENTAGE OF INCOME 100 80 8 40 20 0 0 40 11 Country X O Country Z Country X Country Y Country Z 20 60 80 CUMULATIVE PERCENTAGE OF HOUSEHOLDS IV Based on the graph, the Gini coefficient for Country Y is given by II/ (I + II + III+IV) Which of the following countries has the lowest Gini coefficient? 100 ?

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

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Imagine an economy with only two people. Larry earns $20,000 per year, while Roger earns $80,000 per year. As shown in the following figure, the Lorenz curve for this twoperson economy consists of two line segments. The first runs from the origin to point a, while the second runs from point a to point b. a. Calculate the Gini ratio for this two-person economy using the geometric formulas for the area of a triangle (= ½ × base × height) and the area of a rectangle ( = base × height). (Hint: The area under the line segment from point a to point b can be thought of as the sum of the area of a particular triangle and the area of a particular rectangle.) b. What would the Gini ratio be if the government taxed $20,000 away from Roger and gave it to Larry? (Hint: The figure will change.) c. Start again with Larry earning $20,000 per year and Roger earning $80,000 per year. What would the Gini ratio be if both their incomes doubled? How much has the Gini ratio changed from before the doubling…
The graph shown below illustrates the Lorenz Curves in Country X and Country Y in 2021. Note that the Lorenz Curve for Country Y starts out below but eventually intersects and passes above the Lorenz Curve for Country X. These curves provide a graphical illustration of the _____________ in each country. CFI 1 0 B scope of government redistribution distribution of income level of welfare benefits poverty rate "County X" Lorenz Curve -"County Y" Lorenz Curve CFP
Assume that the country has following data: Individual 2: Income Php 400,000; Individual 4: Income Php 600,000; Individual 6: Php 1,000,000. What is the area under Lorenz Curve does each individual have?
Below is a Lorenz Curve for a given country. Suppose its government establishes a 10% income tax on persons earning more than $500,000 per year and uses the proceeds to subsidize secondary education. Show how the tax would affect income inequality by drawing the new Lorenz Curve.
a) With the following data draw a Lorenz Curve, putting labels on the graph and writing out data point values. Explain what the Lorenz Curve illustrates, and what the results mean. b) Now explain how one gets the Gini Coefficient from the Lorenz Curve, and what information the coefficient provides.
Below is a Lorenz Curve for a given country. Suppose its government establishes a 10% income tax on persons earning more than $500,000/year and uses the proceeds to subsidize secondary education. Show how the tax would affect income inequality by drawing the new Lorenz Curve.
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.
The table below shows the share of income going to each quintile of the income distribution for a nation in 1960 and 2010. Use this data to calculate what the points on a Lorenz curve would be, and sketch the Lorenz curve. The purple line represents 1960. The green line represents 2010. Share of income received 1960 2010 Bottom 20% 10% 5% Bottom 40% 30% 10% Bottom 60% 45% 30% Bottom 80% 75% 60% All 100% 100% |100% Provide your answer below: 110 100- -90 -80 (90,0) -70 (100, 70) -60 Perfect Equality (100,50 Year 2010 -50 (80,50) Year 1960 40 (70, 30) 30- (50, 20) 20 (90, 20) 10 (60, 10) 80 100 Income Quintiles 20 40 60 -10 Cumulative Share of Income
Q2] Given is the data for Country A and B: Population Fraction Country A's Income Country B's Income bottom 25% 5 million 10 million 2nd 25% 10 million 15 million 3rd 25% 30 million 20 million top 25% 55 million 55 million a) Compute the cumulative income share and neatly plot (using Excel) the Lorenz curve for these two countries with labels. Feel free to use excel template that I have uploaded and copy paste the plot. b) Compute the Gini coefficient assuming the region beneath the two respective Lorenz curve is For country A = 0.2875 For country B = 0.3250
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.
For Question 7 please refer to the chart below of the Lorenz Curve for Paraguay and Germany for 2014: Percent of Total Income Paraguay -Germany Percent of Total Population Based on the table above, which of the following is true; Paraguay has a greater degree of Income Inequality Germany has a lower Gini-Coefficient Paraguay has a higher Gini-Coefficient Germany has a greater degree of Income Inequality