Module XIV·Article I·~1 min read

Measuring Inequality: Lorenz and Gini

Income Distribution and Inequality

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Measuring Inequality: Lorenz and Gini
Inequality is an important economic and social topic. How can it be measured? The Lorenz curve and the Gini coefficient are standard tools.

Lorenz Curve

Lorenz Curve: a graphical representation of the distribution of income or wealth.

Construction:

  • On the horizontal axis: cumulative % of the population (from the poorest to the richest)
  • On the vertical axis: cumulative % of income

Line of absolute equality: 45° — each % of the population receives the same % of income.

The real curve: lies below the 45° line — shows that the bottom X% receives less than X% of income.

Gini Coefficient

Gini coefficient: the ratio of the area between the line of equality and the Lorenz curve to the total area under the line of equality.

Range: from 0 (absolute equality) to 1 (absolute inequality).

Examples:

  • Scandinavia: 0.25–0.30
  • USA: ~0.40
  • South Africa: ~0.63
  • Russia: ~0.37

Other Measures

  • Decile/Quintile ratios: the ratio of incomes in the top groups to those in the bottom groups.
  • Palma ratio: income of the top 10% / income of the bottom 40%.
  • Top income shares: the share of the top 1%, 0.1% — especially useful for analyzing extreme inequality.

For the Investor

  • Consumer markets: inequality affects the structure of consumption — luxury vs mass market.
  • Political risk: high inequality is a potential source of instability.
  • Policy implications: inequality may lead to redistributive policy.

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