Question

On December 31, 2018, Interlink Communications issued 6% stated rate bonds with a face amount of $107 million. The bonds mature on December 31, 2048. Interest is payable annually on each December 31, beginning in 2019. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Determine the price of the bonds on December 31, 2018, assuming that the market rate of interest for similar bonds was 7%. (Enter your answers in whole dollars. Round your final answers to nearest whole dollar amount.)

Answer 1

Answer:

$93,725,580.00

Explanation:

The market price of the bond is the present value of annual coupon payment  plus the present value of face amount receivable at the end of the bond tenure.

Annual coupon interest=face amount*stated rate=$107,000,000*6%=$6,420,000.00  

Face amount=$107,000,000

The discount factor for annual coupon is the present of 30 years annuity(2048-2018) at 7% market rate, which is  12.4090  

The discount factor for the face value is  0.1314  

Price of the bond=($6,420,000.00*12.4090)+($107,000,000*0.1314)=$93,725,580.00