Question

A company issued 5%, 20-year bonds with a face amount of $60 million. The market yield for bonds of similar risk and maturity is 6%. Interest is paid semiannually. At what price did the bonds sell? (

Answer 1

Answer:

Total $53.0656 (millions)

Explanation:

We will need to add the present value of the coupon payment

and the present value of the maturity date

present value of the annuity:

$C \times \frac{1-(1+r)^{-time} }{rate} = PV$

C= 60 million x 5% /2 1.5

time= 20 years 2 payment per year = 40

rate = 6% annual = 0.06/2 = 0.03 semiannually

$1.5 \times \frac{1-(1+0.03)^{-40} }{0.03} = PV$

PV $34.6722

present value of the bonds:

$\frac{Maturity}{(1 + rate)^{time} } = PV$

Maturity 60

time 40

rate           0.03

$\frac{60}{(1 + 0.03)^{40} } = PV$

PV        $18.3934

The value of the bond will be the sum of both

PV c $34.6722

PV m  $18.3934

Total $53.0656