Asked by Abigail Kooiker on Jul 04, 2024

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McQuinty, Inc. has a beta of 1.34 and a marginal tax rate of 31%. The company has one bond issue outstanding with a total face value of $750,000. The bonds are currently quoted at 98.6. These bonds have seven years to maturity, a 6% coupon rate, and pay interest semi-annually. What is the after-tax cost of debt for McQuinty, Inc.?

A) 4.14%
B) 4.31%
C) 5.16%
D) 5.55%
E) 6.25%

Coupon Rate

The annual interest payment on a bond, denoted as a percentage of its face value.

After-Tax Cost of Debt

The interest expense on debt adjusted for taxes, reflecting the actual cost to the company.

Marginal Tax Rate

The rate at which additional income is taxed, reflecting the proportion of each additional dollar of income that goes to taxes.

  • Compute the net cost of borrowing after taxes.
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ZK
Zybrea KnightJul 06, 2024
Final Answer :
B
Explanation :
The after-tax cost of debt can be calculated by first finding the yield to maturity (YTM) of the bond and then adjusting it for the tax rate. Given the bond's face value, current price, coupon rate, and maturity, the YTM can be calculated using a financial calculator or bond valuation formulas. The YTM represents the pre-tax cost of debt. The after-tax cost of debt is then calculated by multiplying the pre-tax cost by (1 - tax rate). Without the exact YTM calculation provided in the question, the correct answer cannot be precisely derived through explanation alone. However, the correct process involves finding the YTM based on the given bond information and then adjusting for taxes using the formula: After-tax cost of debt = YTM * (1 - tax rate). The answer provided suggests that the correct YTM, after adjusting for the 31% tax rate, corresponds to the option given.