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According to a state economic survey on income distribution, the top $10\%$ of the population holds $52\%$ of the total gross income, whereas the bottom $40\%$ of the population accounts for $13\%$ of the total gross income. Based on the standard Palma ratio metric for income inequality, what is the calculated Palma ratio for this state?

Cevap: 4

Cevap

The calculated Palma ratio for the state is

4.0

.

The Palma ratio is defined as the ratio of the richest

10\%

of the population's share of gross national income divided by the poorest

40\%'s

share. Substituting the given values (

52\%

divided by

13\%

) gives a Palma ratio of

4.0

.

Adım Adım Çözüm

1

Extract the relevant income shares from the economic survey data.

Income share of top

10\% = 52\%

, Income share of bottom

40\% = 13\%

.

The Palma ratio specifically compares the income share of the top decile to that of the bottom four deciles.

2

Calculate the ratio of the top decile share to the bottom four deciles share.

\text{Palma Ratio} = \frac{52}{13} = 4.0

Applying the formula: Palma Ratio = (Income share of top 10%) / (Income share of bottom 40%).

Anahtar Kavram

Palma Ratio as an Inequality Metric

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Poverty Estimation, Inequality Metrics, and Inclusive Growth Strategies