Answer:
The company's after-tax cost of debt is
Explanation:
Please find the below for detailed calculation and explanations:
The company's after-tax cost of debt is equal to: Bond's yield to maturity (YTM) x ( 1- tax rate). As tax rate is given, we need to calculate the YTM.
Bond's YTM is the discount rate which brings net present value of all cash flows from the bond, which are 15 annual interest payments of $60 each ( $1,000 x 6%) and face value repayment of $1,000 at maturity, equal to its current market price of $1,075. So, it is calculated as below:
( 60/ YTM) x [ 1 - (1+YTM)^-15 ] + 1,000/ (1+YTM)^15 = 1,075 <=> YTM = 5.26%.
=> The company's after-tax cost of debt is equal to: Bond's YTM x ( 1- tax rate) = 5.26% x ( 1 - 32%) = 3.58%.