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:

  1. 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.

  2. 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%.

  3. 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): 1,500×0.15=225(tax)1,500 \times 0.15 = 225 \, (\text{tax}) 1,500225=1,275(after-tax amount)1,500 - 225 = 1,275 \, (\text{after-tax amount})

  • Investor B (interest income): 1,500×0.24=360(tax)1,500 \times 0.24 = 360 \, (\text{tax}) 1,500360=1,140(after-tax amount)1,500 - 360 = 1,140 \, (\text{after-tax amount})

  • Investor C (long-term capital gain): 1,500×0.15=225(tax)1,500 \times 0.15 = 225 \, (\text{tax}) 1,500225=1,275(after-tax amount)1,500 - 225 = 1,275 \, (\text{after-tax amount})

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:

  1. How are qualified dividends different from non-qualified dividends?
  2. What determines the long-term capital gains tax rate for different income levels?
  3. How would state taxes impact the calculations in this scenario?
  4. What are the tax implications of short-term capital gains compared to long-term capital gains?
  5. 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!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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

-

Suitable Grade Level

Grades 11-12 (Advanced Economics or Finance)