Economics 219
Answers to Problem Set #7
1) a)-c)
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Old Tax Code |
Flat Tax Code |
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I = $20,000 |
Marginal Rate = 10% |
Marginal Rate = 25% |
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Tax Bill = (.10)($15,000) = $1,500 |
Tax Bill = (.25)($10,000) = $2,500 |
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Average Rate = $1,500/$20,000 = 7.5% |
Average Rate = $2,500/$20,000 = 12.5% |
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I =
$60,000 |
Marginal Rate = 40% |
Marginal Rate = 25% |
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Tax Bill = (.10)($20,000) + (.20)($30,000) +
(.40)($5,000) = $10,000 |
Tax Bill = (.25)($50,000)
= $12,500 |
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Average Rate = $10,000/$60,000 = 17% |
Average Rate = $12,500/$60,000 = 21% |
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I =
$110,000 |
Marginal Rate = 40% |
Marginal Rate = 25% |
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Tax Bill = (.10)($20,000) + (.20)($30,000) + (.40)($55,000) = $30,000 |
Tax Bill = (.25)($100,000) = $25,000 |
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Average Rate = $30,000/$110,000 = 27% |
Average Rate = $25,000/$110,000 = 23% |
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d) For the $20,000 a year earner, the effect of the change in the tax code is ambiguous: with higher marginal rates, he would work less, but with higher average rates, he would work more. For the $60,000 per year earner the marginal rate has dropped (work more) and average rates have risen (work more) – This is the strongest piece of the tax reform (in terms of stimulus). For the $110,000 a year household, marginal rates drop (work more), but average rates drops as well (work less). Once again, the net effect is ambiguous. At the aggregate level, however, things simplify a little because the income effects cancel out. Anyone with income over $55,000 will have the incentive to work more with the flat tax system while anyone earning less will have the incentive to work less. To decide which group will dominate, we would need to know something about median income in the country of Fredonia. Suppose that median income was exactly $55,000. This means that exactly half the population earns more than $55,000 and half earn less. In this case, the conversion to the flat tax would have no aggregate effects. Suppose that median income in Fredonia was $30,000. This would tell us that more than half the population earned less than $55,000 and, hence would dominate the labor market. Therefore, in this case, aggregate labor supply would drop and the pre-tax wage would rise.
2)
4. To analyze the effects of transfers, we need to recognize that income is not being created, but simply transferred. Therefore to decide the aggregate effect, we need to compare the behavior if the "winners" with that of the "losers".To decide which policy is more effective, we would need a little more information, such as the tax and interest rate elasticity of investment and consumption demand.