A new corporate bond is being offered for $930. The bond has a face value of $1,000 and matures in 10 years. The coupon rate is 7% per year, payable annually. What is the company's cost of capital for this bond issue if the bond broker's fee = $15 per bond?

The answer is 7.65%

Explanation:

The cost of capital is equal to the cost of debt in this example as it involves a debt instrument. The formula for the cost of debt is as follows:

(Interest Expense x (1 – Tax Rate) ÷  (Amount of Debt – Debt Acquisition Fees + Premium on Debt – Discount on Debt)

In the example, the given values are the following:

Interest Expense = 7% x $1,000 = $70 (no tax rate was provided)

Amount of debt = $1,000 (face value of the bond)

Debt acquisition fee = $15

Discount on debt = $70 ($1,000 face value vs. the $930 proceeds of the bond, the bond was issued at a discount)

Solution:

$70 ÷ ($1,000 - $15 - $70) = 7.65% cost of capital (cost of debt)

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