Question 1 · Data Response Short Answer
2.67 marksTable 1: Economic Inequality Indicators for Zendia
* Year 1: Gini coefficient = 0.36
* Year 10: Gini coefficient = 0.45
(a) Calculate the percentage change in Zendia's Gini coefficient between Year 1 and Year 10.
(b) Explain one reason why implementing a progressive income tax might not succeed in reducing wealth inequality in Zendia.
* Year 1: Gini coefficient = 0.36
* Year 10: Gini coefficient = 0.45
(a) Calculate the percentage change in Zendia's Gini coefficient between Year 1 and Year 10.
(b) Explain one reason why implementing a progressive income tax might not succeed in reducing wealth inequality in Zendia.
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Worked solution
Part (a):
To calculate the percentage change in the Gini coefficient:
\(\text{Percentage Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100\)
\(\text{Percentage Change} = \frac{0.45 - 0.36}{0.36} \times 100 = \frac{0.09}{0.36} \times 100 = 25\%\).
Thus, the Gini coefficient increased by \(25\%\).
Part (b):
A progressive income tax targets the flow of income (earnings over a period) rather than the accumulated stock of wealth (assets, property, shares). Consequently, wealthy individuals whose net worth consists largely of capital assets may receive minimal taxable income, meaning a progressive income tax has little impact on the distribution of existing wealth.
To calculate the percentage change in the Gini coefficient:
\(\text{Percentage Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100\)
\(\text{Percentage Change} = \frac{0.45 - 0.36}{0.36} \times 100 = \frac{0.09}{0.36} \times 100 = 25\%\).
Thus, the Gini coefficient increased by \(25\%\).
Part (b):
A progressive income tax targets the flow of income (earnings over a period) rather than the accumulated stock of wealth (assets, property, shares). Consequently, wealthy individuals whose net worth consists largely of capital assets may receive minimal taxable income, meaning a progressive income tax has little impact on the distribution of existing wealth.
Marking scheme
Part (a): [1 mark]
* 1 mark for the correct calculation of the percentage change of \(25\%\) (allow \(+25\%\) or an increase of \(25\%\)). Workings: \(((0.45 - 0.36)/0.36) \times 100\).
Part (b): [1.67 marks]
* 1 mark for explaining that income tax targets income (flow) rather than wealth (stock).
* 0.67 marks for developing the point (e.g., explaining that wealthy individuals can avoid income tax by holding wealth in capital assets, property, or using tax avoidance schemes).
* 1 mark for the correct calculation of the percentage change of \(25\%\) (allow \(+25\%\) or an increase of \(25\%\)). Workings: \(((0.45 - 0.36)/0.36) \times 100\).
Part (b): [1.67 marks]
* 1 mark for explaining that income tax targets income (flow) rather than wealth (stock).
* 0.67 marks for developing the point (e.g., explaining that wealthy individuals can avoid income tax by holding wealth in capital assets, property, or using tax avoidance schemes).