Song earns $180,000 taxable income as an interior designer and is taxed at an average rate of 30 percent (i.e., $54,000 of tax). a. If Congress increases the income tax rate such that Song’s average tax rate increases from 30 percent to 40 percent, how much more income tax will she pay assuming that the income effect is descriptive?
Additional income tax?
If the income effect is descriptive, the tax base and the tax collected will increase. true or false
Solution:
Current income after tax = $180,000 - ($180,000*30%) = $126,000
If the income effect is descriptive and Congress increases tax rates so that Song’s average tax rate is 40%, then Song continue to have $126,000 income after tax.
After-tax income = Pretax income (1 – tax rate)
$126,000 = Pretax income (1 -0.40)
Pretax income = $210,000
Hence song need to earn $210,000 pre tax income to have $126,000 after income tax.
Song will pay $84,000 in tax ($210,000 x 40%)
Additional income tax to be paid by Song = $84,000 - $54,000 = $30,000
Therefore, if the income effect is descriptive, the tax base and the tax collected will increase.
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