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Difficulty: MediumPoverty Estimation, Inequality Metrics, and Inclusive Growth Strategies

Which of the following statements regarding economic inequality metrics and poverty measurement concepts are correct?

  1. The Gini coefficient value of zero indicates perfect income equality, whereas a value of one indicates maximum income inequality.Answer
  2. The Poverty Gap Index captures the depth of poverty by measuring the average distance of poor individuals below the poverty line expressed as a proportion of that line.Answer
  3. C
    Relative poverty is entirely eliminated when an economy ensures all households satisfy a fixed normative basket of basic minimum consumption needs.
  4. D
    The Lorenz curve always lies above the 45-degree line of perfect equality in standard income distribution cumulative plots.

Answer

The correct statements are that the Gini coefficient ranges from zero (perfect equality) to one (perfect inequality) and that the Poverty Gap Index measures the average distance of poor individuals below the poverty line expressed as a proportion of that threshold.
The Gini coefficient accurately quantifies income inequality on a scale from 0 (perfect equality) to 1 (perfect inequality). Furthermore, the Poverty Gap Index correctly measures the depth of poverty by taking the average shortfall of poor households relative to the poverty line.

Step-by-Step Solution

1
Evaluate the definition and mathematical bounds of the Gini coefficient.
The statement regarding the Gini coefficient ranging from 0 (perfect equality) to 1 (perfect inequality) is correct.
It measures the statistical dispersion of income distribution derived from the area between the Lorenz curve and the line of perfect equality.
2
Analyze the formula and economic meaning of the Poverty Gap Index.
The statement defining the Poverty Gap Index as the average shortfall from the poverty line is correct.
It quantifies the depth of poverty by assessing how much income or consumption would be required to bring all poor households up to the poverty line.
3
Distinguish between absolute poverty and relative poverty concepts.
The statement claiming that meeting basic minimum consumption eliminates relative poverty is incorrect.
Meeting basic minimum needs eliminates absolute poverty; relative poverty measures relative income disparities across social strata.
4
Examine the geometric properties of the Lorenz curve.
The statement claiming the Lorenz curve lies above the 45-degree line is incorrect.
The cumulative bottom percentages of population cannot receive more than their proportional share of total income, so the curve sags below the equality line.

Key Concept

Poverty Gap Index, Gini Coefficient, Absolute vs Relative Poverty, and Lorenz Curve Properties
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Topics

Poverty Estimation, Inequality Metrics, and Inclusive Growth Strategies