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 0001,000
qualified dividend distribution from her mutual fund, and Investor B received
$1 comma 0001,000
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 0001,000.
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 investment provides the greatest after-tax amount, we need to analyze the tax treatment of the income received by each investor:
-
Investor A (Qualified Dividend Income of $1,000):
- Qualified dividends are taxed at the long-term capital gains rate. Since the other taxable income is $100,000, the investor likely falls in the 15% capital gains tax bracket.
- So, tax on the dividend = .
- After-tax amount = .
-
Investor B (Interest Income of $1,000):
- Interest income is taxed as ordinary income. With other taxable income of $100,000, Investor B is likely in the 24% tax bracket for ordinary income.
- Tax on interest = .
- After-tax amount = .
-
Investor C (Capital Gains of $1,000):
- Long-term capital gains are taxed at the same rate as qualified dividends, which in this case would also be 15%.
- Tax on capital gains = .
- After-tax amount = .
Conclusion:
- Investors A and C receive the highest after-tax amount of $850 each, while Investor B receives $760.
- Thus, Investors A and C will have the greatest after-tax amount.
Correct answer: C. Investors A and C.
Do you want further details or have any questions?
Here are 5 related questions for further exploration:
- How does the capital gains tax rate vary by income level?
- What is the tax difference between qualified dividends and non-qualified dividends?
- How are ordinary dividends taxed compared to qualified dividends?
- What are the different tax brackets for ordinary income?
- How can holding periods affect long-term versus short-term capital gains?
Tip: Holding investments for longer than a year can qualify gains for lower long-term capital gains tax rates, making it a more tax-efficient strategy for many investors.
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Math Problem Analysis
Mathematical Concepts
Taxation
Income Tax Calculation
Investment Returns
Formulas
Tax on qualified dividends = Dividend amount × Capital gains tax rate
Tax on interest income = Interest amount × Ordinary income tax rate
Tax on long-term capital gains = Gain amount × Capital gains tax rate
Theorems
-
Suitable Grade Level
Grades 11-12, College Level
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