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

Consider the following statements regarding inequality metrics and poverty measurement concepts:

1. The Palma Ratio is defined as the ratio of the richest 10% of the population's share of gross national income to the poorest 40%'s share.
2. Unlike the Headcount Ratio, the Poverty Gap Ratio accounts for the depth of poverty by measuring the average distance by which poor households fall below the poverty line.
3. Graphically, the Gini Coefficient is calculated as the ratio of the total area under the Lorenz Curve to the total area above the line of perfect equality.

Which of the statements given above are correct?

  1. 1 and 2 onlyAnswer
  2. B
    2 and 3 only
  3. C
    1 and 3 only
  4. D
    1, 2 and 3

Answer

Statements 1 and 2 are correct, while statement 3 is incorrect. Therefore, the correct option is '1 and 2 only'.
The option stating '1 and 2 only' is correct because both statement 1 (defining the Palma Ratio as the ratio of income of the top 10% to the bottom 40%) and statement 2 (defining the Poverty Gap Ratio as measuring the average shortfall/depth of poverty below the threshold) are factually and conceptually accurate. Statement 3 misdefines the geometric ratio for calculating the Gini coefficient.

Step-by-Step Solution

1
Evaluate Statement 1 regarding the Palma Ratio
Statement 1 is CORRECT.
The Palma Ratio was developed by Gabriel Palma as an alternative to the Gini coefficient. It focuses on income concentration by dividing the top 10% share of national income by the bottom 40% share, based on empirical evidence that the middle 50% usually captures a relatively stable half of national income.
2
Evaluate Statement 2 regarding the Poverty Gap Ratio
Statement 2 is CORRECT.
While the Headcount Ratio (HCR) merely counts the proportion of the population living below the poverty line without considering how poor they are, the Poverty Gap Ratio measures the mean shortfall from the poverty line expressed as a percentage of the line itself, thus capturing the depth/intensity of poverty.
3
Evaluate Statement 3 regarding the graphical formulation of the Gini Coefficient
Statement 3 is INCORRECT.
If AA is the area between the 45-degree line of perfect equality and the Lorenz curve, and BB is the area under the Lorenz curve, the total area under the line of equality is A+B=0.5A + B = 0.5. The Gini Coefficient is given by G=AA+B=2AG = \frac{A}{A + B} = 2A. Statement 3 incorrectly states it as the area under the curve divided by the area above it.

Key Concept

Palma Ratio, Poverty Gap Ratio, and Lorenz Curve / Gini Coefficient geometry
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Topics

Poverty Estimation, Inequality Metrics, and Inclusive Growth Strategies