Question

Young Company has a bond outstanding with a coupon rate of 6.2 percent and semiannual

payments. The bond currently sells for $943 and matures in 19 years. The par value is $1,000. What

is the company's pretax cost of debt?

Answer 1

Company’s Pre-tax cost of debt

• The Company's pre-tax cost of debt is the Yield to maturity (YTM) of the Bond
• The Yield to maturity (YTM) of the Bond is the discount rate at which the Bond’s price equals to the present value of the coupon payments plus the present value of the Face Value/Par Value
• The Yield to maturity of (YTM) of the Bond is the estimated annual rate of return expected by the bondholders for the bond assuming that the they hold the Bonds until it’s maturity period/date.
• The Yield to maturity of (YTM) of the Bond is calculated using financial calculator as follows (Normally, the YTM is calculated either using EXCEL Functions or by using Financial Calculator)

Variables	Financial Calculator Keys	Figure
Par Value/Face Value of the Bond [$1,000]	FV	1,000
Coupon Amount [$1,000 x 6.20% x ½]	PMT	32
Market Interest Rate or Yield to maturity on the Bond	1/Y	?
Maturity Period/Time to Maturity [19 Years x 2]	N	38
Bond Price/Current Market Price of the Bond [-$943]	PV	-943

We need to set the above figures into the financial calculator to find out the Yield to Maturity of the Bond. After entering the above keys in the financial calculator, we get the semi-annual yield to maturity on the bond (1/Y) = 3.37%.

The semi-annual Yield to maturity = 3.37%.

Therefore, the annual Yield to Maturity of the Bond = 6.74% [3.37% x 2]

“Hence, the Company's pre-tax cost of debt will be 6.74%”