To determine the recommended investment for both Mr. Brown and Mr. Black, we need to calculate the after-tax income from each investment option.
For Mr. Brown:
1. Calculate the after-tax income from investing in a tax-exempt municipal bond:
a. Multiply the investment amount ($8,000) by the interest rate (5%) to find the pre-tax income: $8,000 * 0.05 = $400.
b. Since Mr. Brown is in the 10% federal income tax bracket, he will not owe any federal taxes on the interest income.
c. The after-tax income from the municipal bond is equal to the pre-tax income: $400.
2. Calculate the after-tax income from investing in a corporate bond:
a. Multiply the investment amount ($8,000) by the interest rate (6.5%) to find the pre-tax income: $8,000 * 0.065 = $520.
b. Since Mr. Brown is in the 10% federal income tax bracket, he will owe 10% of the pre-tax income in federal taxes: $520 * 0.10 = $52.
c. Calculate the after-tax income by subtracting the federal tax amount from the pre-tax income: $520 - $52 = $468.
Considering that the after-tax income ($400) from the tax-exempt municipal bond is higher than the after-tax income ($468) from the corporate bond, it is recommended for Mr. Brown to invest in the tax-exempt municipal bond.
For Mr. Black:
1. Calculate the after-tax income from investing in a tax-exempt municipal bond:
a. Multiply the investment amount ($15,000) by the interest rate (5%) to find the pre-tax income: $15,000 * 0.05 = $750.
b. Since Mr. Black is in the 35% federal income tax bracket, he will not owe any federal taxes on the interest income.
c. The after-tax income from the municipal bond is equal to the pre-tax income: $750.
2. Calculate the after-tax income from investing in a corporate bond:
a. Multiply the investment amount ($15,000) by the interest rate (6.5%) to find the pre-tax income: $15,000 * 0.065 = $975.
b. Since Mr. Black is in the 35% federal income tax bracket, he will owe 35% of the pre-tax income in federal taxes: $975 * 0.35 = $341.25.
c. Calculate the after-tax income by subtracting the federal tax amount from the pre-tax income: $975 - $341.25 = $633.75.
Considering that the after-tax income ($750) from the tax-exempt municipal bond is higher than the after-tax income ($633.75) from the corporate bond, it is recommended for Mr. Black to invest in the tax-exempt municipal bond.
In summary, it is recommended for Mr. Brown to invest in the tax-exempt municipal bond, while it is also recommended for Mr. Black to invest in the tax-exempt municipal bond.