Question

Suppose the welfare benefit formula is                 Benefit = $8,000 – 0.67 (Wages > $2,000) (a)...

Suppose the welfare benefit formula is

               

Benefit = $8,000 – 0.67 (Wages > $2,000)

(a) What is the marginal tax rate on

        (i) The first $2,000 of wages?

        (ii) Wages above $2,000?

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Answer #1

Given,

Welfare Benefit Formula is

Benefit = $8,000 - 0.67(Wages>$2,000)

i. If the Wages ≤ $2,000, Welfare benefit is maximum and remains constant till a wage of $2,000. Therefore, the marginal tax rate below $2,000 is 0%

ii. From the above formula, we see that if the wages are above $2,000, Welfare benefit decreases by 67%(0.67) for a marginal increase in income above $2,000. Therefore, the marginal tax rate is equal to the marginal rate of decrease in welfare benefit, which is equal to 67%

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