Math Problem Statement
Consider three unmarried investors who need to partially liquidate investments to raise cash. In this case, all investments have been held for 3 or more years. Investor A waited for a
$1 comma 5001,500
qualified dividend distribution from her mutual fund, and Investor B received
$1 comma 5001,500
in interest income from a certificate of deposit. However, because Investor C could not wait for a distribution, he decided to sell appreciated stock shares with a long-term capital gain of
$1 comma 5001,500.
Assuming no commissions, no sales charges, no state income tax, and other taxable income of $100,000, which investment will provide the greatest after-tax amount?
Question content area bottom
Part 1
Assuming no commissions, no sales charges, no state income tax, and other taxable income of $100,000, the investments that will have the greatest after-tax amount belong to: (Select best answer below.)
A.
Investors A and B.
B.
Investors B and C.
C.
Investors A and C.
D.
Investors A, B, and C.
Solution
To determine which investor will have the greatest after-tax amount, we need to consider the different types of income and the tax rates that apply to each:
-
Investor A: Received $1,500 in qualified dividend distribution. Qualified dividends are typically taxed at the long-term capital gains rate, which is 15% for most taxpayers with an income of $100,000.
-
Investor B: Received $1,500 in interest income from a certificate of deposit. Interest income is taxed at ordinary income tax rates. For a taxable income of $100,000, the federal tax rate would generally be 24%.
-
Investor C: Realized a $1,500 long-term capital gain. Long-term capital gains are taxed at the same rate as qualified dividends, which is 15% for most taxpayers in this income range.
Tax Calculation:
-
Investor A (qualified dividend):
-
Investor B (interest income):
-
Investor C (long-term capital gain):
Comparison of After-Tax Amounts:
- Investor A: $1,275
- Investor B: $1,140
- Investor C: $1,275
Conclusion:
Investors A and C will have the greatest after-tax amount of $1,275, so the correct answer is C. Investors A and C.
Would you like further details or have any questions?
Here are five related questions:
- How are qualified dividends different from non-qualified dividends?
- What determines the long-term capital gains tax rate for different income levels?
- How would state taxes impact the calculations in this scenario?
- What are the tax implications of short-term capital gains compared to long-term capital gains?
- How would the tax result differ if the investors had lower total taxable income?
Tip: Always check whether your dividends are qualified or non-qualified, as the tax rates can be significantly different!
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Math Problem Analysis
Mathematical Concepts
Taxation
Income Tax Rates
Capital Gains
Dividends
Formulas
After-tax amount = Investment - (Investment × Tax Rate)
Qualified dividends and long-term capital gains tax rate = 15%
Interest income tax rate = 24%
Theorems
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Suitable Grade Level
Grades 11-12 (Advanced Economics or Finance)
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