The following represents the income for the five citizens of Sodor: Thomas $14,000James $20,000 Gordon $50,000 Percy $6,000 Clara $10,000 a) Make a table that showsthe income, cumulative income, and cumulative income percentages for each of thequintiles. (Start with the lowest, meaning Percy) b) Draw a Lorenz curve and the line ofabsolute equality for the above situation. c) The tax rates for the island are as follows: notax on the first $10,000, 10% tax rate on the next $10,000, and 50% tax rate on anythingabove $20,000. d) What is the total tax collected by the government? If each citizenreceives 1/5 of the tax collected, how much would each receive? e) Make a table thatshows the new income for the citizens, cumulative income, and the cumulative incomepercentage (income-tax payment + distribution payment) for each quintile. f) Add thenew Lorenz curve to the graph in b). g) How have the Lorenz curve and Gini coefficientbeen affected by the tax? Explain.

To address your request comprehensively, let's break it down step-by-step based on the provided data…

Answered: The following represents the income for…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

How has assortative mating contributed to growing inequality? Taxes redistribute income from the poor to the rich O People marry someone similar to them, creating some households with many resources and others with few O Groups with political clout convince the government to implement exclusive institutions O New technologies like the internet create opportunities for the people with skills to use them
1. An economy's Lorenz Curve reveals that an economy's highest income quintile has 65% of the economy's income while the lowest income quintile only has 5% of the economy's income. Solely based on the Lorenz Curve, is this distribution of income fair? Why or why not? 2. To combat income inequality and to generate increased tax revenues to fund expenditures, government officials decide to aggressively increase how progressive income taxes are, so much so that the top income earners are marginally taxed 90% of their income (and while this marginal tax rate may seem oppressive, these top income earners still have more than enough income to satisfy all of their needs and all but the most extravagant of wants - basically, these earners have more than enough money). Argue why this tax policy is a fair approach to fund government expenditures. Why might this tax policy fail to achieve its objectives (tax revenues would actually decline as a result)?
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.
Consider a Maldives island with ten inhabitants. Answer the questions below. a) Plot the Lorenz curve for the income distribution: (2,2,4,6,8,20,30,40,60,100) (2,2,4,6,8,20,30,40,60,100) Consider an income redistribution that takes 20% of income from each of the three richest individuals and distribute equally to individuals that have an income below the poverty line (9). Plot the Lorenz curve again to demonstrate that inequality has decreased. What happened to the coefficient of variation between the two periods? What can you conclude about the change in inequality between periods from this? b) Show on the same diagram the Lorenz curve for the income distribution: (8,18,20,22,26,28,30,32,40,48)(8,18,20,22,26,28,30,32,40,48) Compare and comment this new Lorenz curve with the Lorenz curves in part (a). Then, show that the three social welfare functions, W=∑MhW=∑Mh, W={MinWh}W={MinWh}, and W={MaxWh}W={MaxWh} rank the income distributions in parts (a) and (b) differently. c) Calculate the…
Suppose that the economy of Loserville has the following distribution of income: first quintile 15% of aggregate income second quintile 20% of aggregate income third quintile 20% of aggregate income fourth quintile 20% of aggregate income fifth quintile 25% of aggregate income a. From the information provided, please derive a Lorenz Curve for Loserville. Show graphically. b. From the Lorenz Curve you have drawn, find the Gini Coefficient. c. How does Loserville compare to the United States economy?
Q5. Poverty measures a. The Poverty Gap Index or Normalized Poverty Gap is the Average Poverty Gap divided by the poverty line. Show that the poverty gap index is the FGT index with a = 1 b. A population that has a greater share of extreme poor among the poor will have a higher P2, even if it has the same headcount ratio and poverty gap index as another population. Explain. c. Consider a population with four individuals with incomes y₁ = {7, 3, 8, 4} and a poverty yi line yp 5. Calculate Po, P₁, and P2. = d. What is the Multidimensional Poverty Index (MPI) and how is it a more improved measure of poverty?
1
A5. Suppose that the initial rural distribution of income is (1, 2, 3, 4) while the initial urban distribution is (3, 4). The poverty line is 2, so the overall poverty rate (headcount index) is 1/3. Now imagine that all of the rural poor move to urban areas and each of them gains 20% in real income. Verify that the overall poverty rate falls to 1/6, yet the urban poverty rate rises from zero to 1/4.
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.
Consider a society consisting of two people. Jacques earns an income of $100,000 per year and Kyoko earns an income of $30,000 per year. The government is considering a redistribution plan that would impose a 25% tax on Jacques's income and give the revenue to Kyoko. Without any incentive distortion, Jacques would retain $75,000 and Kyoko would end up with $55,000. However, let us assume that since Jacques will not receive all the income he earns, he decides to work less and earn an income of only $90,000, of which 25%×$90,000=$22,50025%×$90,000=$22,500 will be owed in taxes. With the redistribution plan, Jacques will take home an income of . The $22,500 that Jacques pays in taxes will be transferred by the government to Kyoko. Let us assume that since Kyoko now receives payment from the government, she will not work as many hours and will earn an income from work of only $29,000 instead of her initial $30,000. With the redistribution plan, Kyoko's total income…
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.
Part B: Briefly provide three reasons as to why income inequality is on the rise in Canada and the US. Secondly, briefly explain how our respective tax systems can help reduce income inequality (be specific about the type of tax you are referring to).

SEE MORE QUESTIONS

Recommended textbooks for you

ENGR.ECONOMIC ANALYSIS

Economics

ISBN:

9780190931919

Author:

NEWNAN

Publisher:

Oxford University Press

Principles of Economics (12th Edition)

Economics

ISBN:

9780134078779

Author:

Karl E. Case, Ray C. Fair, Sharon E. Oster

Publisher:

PEARSON

Engineering Economy (17th Edition)

Economics

ISBN:

9780134870069

Author:

William G. Sullivan, Elin M. Wicks, C. Patrick Koelling

Publisher:

PEARSON

ENGR.ECONOMIC ANALYSIS

Economics

ISBN:

9780190931919

Author:

NEWNAN

Publisher:

Oxford University Press

Principles of Economics (12th Edition)

Economics

ISBN:

9780134078779

Author:

Karl E. Case, Ray C. Fair, Sharon E. Oster

Publisher:

PEARSON

Engineering Economy (17th Edition)

Economics

ISBN:

9780134870069

Author:

William G. Sullivan, Elin M. Wicks, C. Patrick Koelling

Publisher:

PEARSON

Principles of Economics (MindTap Course List)

Economics

ISBN:

9781305585126

Author:

N. Gregory Mankiw

Publisher:

Cengage Learning

Managerial Economics: A Problem Solving Approach

Economics

ISBN:

9781337106665

Author:

Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:

Cengage Learning

Managerial Economics & Business Strategy (Mcgraw-…

Economics

ISBN:

9781259290619

Author:

Michael Baye, Jeff Prince

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS