# What is your best estimate of the aftertax cost of debt (leave as an APR)?

## Jiminys Cricket Farm issued a 30-year 7 percent semi-annual bond 6 years ago. The bond currently s Show more

Jiminys Cricket Farm issued a 30-year 7 percent semi-annual bond 6 years ago. The bond currently sells for 90 percent of its face value. The book value of the debt issue is \$20 million. The companys tax rate is 34 percent and the bond has a YTM of 7.94%. In addition the company has a second debt issue on the market a zero coupon bond with 6 years left to maturity; the book value of this issue is \$67 million the face value (also called par value) is \$82 million and the bonds sell for 78 percent of par. (a) What is the companys total book value of debt? Note: Book value represents the original value of the debt par value is the value of the debt at maturity. For coupon bonds the par value is the book value (coupon bonds are always originally sold at par and interest is paid each period). For zero-coupon bonds the book value will be what the bonds are originally sold for plus any accrued interest (so the book value will equal par value only at maturity when all the interest has accrued). The interest that has accrued is based on the original interest rate agreed to on the loan. Since interest rates change so does the value of the loan from the banks point of view. -87000000; -188400000; -14250000; -188250000; -81960000 (b) What is the companys total market value of debt? Note: Market value is what the bonds are worth today. This market price is often quoted as a percentage of the par value. So if a bonds par is \$1000 and the bond trades at 92% of par the bond is worth \$920. -85238400; -87000000; -77862000; -81960000; -86058000 (c) What is your best estimate of the aftertax cost of debt (leave as an APR)? Note: This is going to be a yield not a dollar amount. It is the weighted average YTM adjusted for taxes. You can get the YTM for the zero coupon bond using the present value equation for a single cash flow: PV = FV(1+r)-T. Since the YTM for the coupon bond is an APR you should calculate the YTM for the zero as an APR with semi-annual compounding so that both bond yields are on the same compounding frequency: zero-coupon price = CF(1+YTM/2)-2T. -3.14; -4.42; -4.21; -2.5; -3.31 Show less