A mandatory health insurance plan costs $4,000. One worker earns $24,500 in employment income and $500 in investment income. Another worker earns $48,000 in employment income and $2,000 in investment income. A third worker earns $68,000 in employment income and $7,000 in investment income. A premium-based system would cost each worker $4,000. A wage tax–based system would cost each worker 8.5 percent of wages. An income tax–based system would cost each worker 8 percent of income. For each worker, calculate the cost of the insurance as a share of total income. E = Employment income I = Investment income P = Premium cost of insurance Premium as a percentage of income = P/(E + I) W = Wage tax cost of insurance = 0.085 × E Wage tax cost as a percentage of income = W/(E + I) T = Income tax cost of insurance = 0.080 × (E + I) Income tax cost as a percentage of income = T/(E + I) 1.4 Which of the plans in exercise 1.3 would impose the larger burden on those with incomes under $25,000: a mandatory insurance plan financed via premiums, via the income tax, or via a payroll tax? 1.5 Which of the plans in exercise 1.3 would be fairest?

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter12: Income Distribution, Poverty, And Discrimination
Section: Chapter Questions
Problem 17SQ
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1.3 A mandatory health insurance plan costs $4,000. One worker earns $24,500 in employment income and $500 in investment income. Another worker earns $48,000 in employment income and $2,000 in investment income. A third worker earns $68,000 in employment income and $7,000 in investment income. A premium-based system would cost each worker $4,000. A wage tax–based system would cost each worker 8.5 percent of wages. An income tax–based system would cost each worker 8 percent of income. For each worker, calculate the cost of the insurance as a share of total income.

E = Employment income

I = Investment income

P = Premium cost of insurance

Premium as a percentage of income = P/(E + I)

W = Wage tax cost of insurance = 0.085 × E

Wage tax cost as a percentage of income = W/(E + I)

T = Income tax cost of insurance = 0.080 × (E + I)

Income tax cost as a percentage of income = T/(E + I)

1.4 Which of the plans in exercise 1.3 would impose the larger burden on those with incomes under $25,000: a mandatory insurance plan financed via premiums, via the income tax, or via a payroll tax?

1.5 Which of the plans in exercise 1.3 would be fairest?

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