Question

A $1,000 par bond is currently selling for $1,100. It has a 9% coupon rate, fifteen years remaining to maturity, and pays interest semi-annually. If the firm's tax rate is 35%, what is the after-tax cost of debt

Answer 1

Answer:

$54.17 per bond

Explanation:

the journal entry to record the issuance of the bond:

Dr Cash 1,100

    Cr Bonds payable 1,000

    Cr Premium on bonds payable 100

The bond premium amortization using straight line amortization:

$100 / 30 = $3.33 per coupon payment

journal entry to record coupon payment:

Dr Interest expense 41.67

Dr Premium on bonds payable 3.33

    Cr Cash 45

the yearly interest expense = $41.67 x 2 = $83.34 x (1 - tax rate) = $83.34 x 0.65 = $54.17