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Zorluk: OrtaPoverty Estimation, Inequality Metrics, and Inclusive Growth Strategies

In a socio-economic survey of a region, the total national income distribution across ten equal population deciles (from lowest to highest income group) is recorded as follows:

- Deciles 1 to 4 (poorest 40%): 2%2\%, 3%3\%, 4%4\%, and 6%6\% respectively
- Deciles 5 to 9 (middle 50%): 7%7\%, 9%9\%, 11%11\%, 13%13\%, and 15%15\% respectively
- Decile 10 (richest 10%): 30%30\%

Based on this distribution, what is the Palma Ratio for this region?

Cevap: 2

Cevap

The Palma Ratio for the region is 2.0.
The Palma Ratio measures economic inequality by dividing the share of national income held by the top 10% of the population by the share of national income held by the bottom 40%. Here, the share held by the top 10% (Decile 10) is 30%, while the cumulative share held by the bottom 40% (Deciles 1–4) is 2% + 3% + 4% + 6% = 15%. Dividing 30% by 15% yields a Palma Ratio of 2.0.

Adım Adım Çözüm

1
Identify the income share of the top 10% income group (Decile 10).
The top 10% population holds 30%30\% of the total income.
The Palma Ratio specifically compares the richest 10% to the poorest 40%.
2
Sum the income shares for the poorest 40% of the population (Deciles 1 through 4).
Sum = 2%+3%+4%+6%=15%2\% + 3\% + 4\% + 6\% = 15\%.
The bottom 40% share forms the denominator in the Palma Ratio calculation.
3
Divide the top 10% share by the bottom 40% share.
Palma Ratio = 30%15%=2.0\frac{30\%}{15\%} = 2.0.
Applying the mathematical definition of the Palma Ratio.

Anahtar Kavram

Palma Ratio as an Inequality Metric
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