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(Cost of debt) Temple-Midland, Inc. is issuing a $1,000 par value bond that pays 8.5 percent annual interest and matures in 15 years. Investors are willing to pay $951 for the bond and Temple faces a tax rate of 24 percent. What is Temple's after-tax cost of debt on the bond?

The after-tax cost of debt is ________%

User Kii
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Final answer:

Temple's after-tax cost of debt on the bond is approximately 6.79%, which is calculated by adjusting the before-tax cost of debt (8.938%) for taxes at a 24% rate.

Step-by-step explanation:

To calculate Temple's after-tax cost of debt on the bond, we first need to determine the before-tax cost of debt (also known as the yield to maturity) and then make adjustments for taxes. The annual interest is 8.5% of the $1,000 par value, which is $85 per year. Since investors are willing to pay $951 for the bond, we use these figures to calculate the before-tax cost of debt, which can be estimated using the formula for the current yield (annual interest payment divided by the current bond price). Therefore, the before-tax cost of debt is $85 / $951 = 0.08938 or 8.938%.

Next, to find the after-tax cost of debt, we need to account for the fact that interest payments are tax-deductible. Thus, we adjust the before-tax cost of debt by the tax rate (1 - tax rate). With a tax rate of 24%, the after-tax cost of debt is 8.938% * (1 - 0.24) = 6.79288% or approximately 6.79%.

Therefore, Temple's after-tax cost of debt on the bond is approximately 6.79%.

User Eissa
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