Principles of Economics (12th Edition)
12th Edition
ISBN: 9780134078779
Author: Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 18, Problem 2.1P
To determine
Identify the higher Gini coefficient in Lorenz curves.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Use the data from the table below to construct a Lorenz curve.
Income Shares in the United States
Lowest 20%
Second Lowest 20%
Third 20%
Fourth 20%
Highest 20%
5.2
10.3
15.3
22.4
46.9
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
2
Please help solve
Chapter 18 Solutions
Principles of Economics (12th Edition)
Knowledge Booster
Similar questions
- Question 12 The following income distribution data are for Lesotho: Quintile Lowest 10% Lowest 20% Second quintile Third quintile Fourth quintile Highest 20% Percent Share 2.2% 3.0% 7.2% 12.5% 21.0% 56.3% Explain how to find the Gini coefficient, graphically. (Hint: You might want to use labels on your graph). You should be able to draw a graph on your computer, save it as a graph, picture, or document, and upload that graph, picture, or document to your answer box. If you cannot do that, you can always draw a graph on paper, take a picture, and upload the picture to your answer box.arrow_forwardN Lorenz curve, shown as the sum of areas V+W+X+Y+Z % of Income C W V % of Population Use the sliders in the interactive tool to illustrate the following income distribution: % of Population 0 40 60 80 100 20 % of Income 4 12 26 46 100arrow_forwardCheck my work Instructions: Use the interactive tool to plot Lorenz curves for the information in the table. Cumulative % of Population Cumulative % of Income, United States, 2010 Cumulative % of Income, Argentina, 2010 20 40 60 80 100 0. 15 29 49 100 0. 4 13 28 50 100 United States data from Census.gov. before-tax Income, rounded to 1/100ths. Data for Argentina from WorldBank.org, rounded to 1/100ths. 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 Argentina in 2010 is v in the United States compared to Argentina. These data indicate that in 2010, income is (Click to select) 2:05 AN 5IA/20arrow_forward
- Using data from a nation's census, an economist produced the following Lorenz curves for the distribution of that nation's income in 1962 and 1972. f(x) = 3x +2 x2 5 5 Lorenz curve for 1962 g(x) = 2 x+ 3 x2 5 5 Lorenz curve for 1972 Find the Gini index of income concentration for each Lorenz curve and interpret the results. Identify the integrand for the computation of the Gini index for 1962 and 1972. The Gini index for 1962 is given by2 ∫ 0 1 ....... dxand the Gini index for 1972 is given by 2 ∫ 01 .......... dx.arrow_forwardQ2] 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 = 0.3250arrow_forwardCanada had the following distribution of Income after taxes in 2006 Based on the information in the tables, which one is the correct Gini coefficient of income inequality? Deciles cumulative share of income Lorenz curve for after tax income in Canada 0% (2006) 1 0% 1 2 2%| 3 6% 0.8 4 11% 0.6 18% 0.4 26% 0.2 37% 50% 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 9 67% share of population 10 100% cumulative share of income equidistribution line O a. 0.47 O b. 0.43 O c. 0.42 O d. 0,44 O e. 0.23 O share of incomearrow_forward
- 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.arrow_forwardCumulative percentage of income 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% 0% 0% -Germany ‒‒‒ 10% Singapore 20% 30% 40% 50% %09 70% 80% %06 100% Cumulative percentage of households Figure 5 Lorenz curves for Germany and Singapore Examine the Lorenz Curves for Germany and Singapore shown in Figure 5. Which of the following statements are correct? Select one or more answers. Select one or more: The bottom quintile (bottom 20%) of households have a higher share of total income in Singapore than Germany. The top quintile (top 20%) of households have a higher share of total income in Singapore than in Germany. Singapore will have a lower Gini coefficient than Germany. Germany has a lower level of income inequality than Singapore.arrow_forwardThe 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.) 20 100 20 40 60 80 100 CUMULATIVE PERCENTAGE OF FAMILIES Peru Bulgaria Lithuania…arrow_forward
- The graph attached shows the Lorenz curves of two different countries stylistically called ‘red’ and ‘green’. The two countries report equal Gini coefficients indicating equal measures of income inequality. However, several experts argue that the green country is less unequal than the red country. Explain the criteria used to make such an argument.arrow_forwardWhich 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.arrow_forward4.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
