Final answer:
The pretax cost of debt is 9.86% and the aftertax cost of debt is 6.10%.
Step-by-step explanation:
The cost of debt is the total interest expense owed on a debt. Put simply, the cost of debt is the effective interest rate or the total amount of interest that a company or individual owes on any liabilities, such as bonds and loans. This expense can refer to either the before-tax or after-tax cost of debt.
The pretax cost of debt can be calculated using the formula:
Pretax Cost of Debt = Embedded Cost of Debt / (1 - Tax Rate)
In this case, the embedded cost of debt is 6.1% annually. The tax rate is 38%.
So, the pretax cost of debt will be:
Pretax Cost of Debt = 6.1% / (1 - 38%) = 9.86%.
The aftertax cost of debt can be calculated by subtracting the tax savings from the pretax cost of debt. In this case, the tax savings is 38% of the pretax cost of debt.
So, the aftertax cost of debt will be:
Aftertax Cost of Debt = Pretax Cost of Debt - Tax Savings
Aftertax Cost of Debt = 9.86% - (38% x 9.86%) = 6.10%.