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antiseptic1488 [7]
3 years ago
15

On December 31, 2021, Interlink Communications issued 6% stated rate bonds with a face amount of $100 million. The bonds mature

on December 31, 2051. Interest is payable annually on each December 31, beginning in 2022. (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 table values provided.)
Determine the price of the bonds on December 31, 2021, assuming that the market rate of interest for similar bonds was 7%. (Round your final answers to the nearest whole dollar amount.)

Table values are based on:
n =?
i =?

Cash Flow Amount Present value
Interest
Principle
Price of bonds
Business
1 answer:
Sauron [17]3 years ago
8 0

Answer:

The bonds were issued at $87,590,959

Explanation:

The bonds will be issued at the present value of the coupon and maturity discounted by the market rate

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

C 6,000,000.000 ( 100 million x 6%)

time 30 (2051 - 2021)

market rate 7% = 7/100 = 0.07

6000000 \times \frac{1-(1+0.07)^{-30} }{0.07} = PV\\

PV $74,454,247.1010

PV of the maturity

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

Maturity   100,000,000.00

time   30.00

rate  0.07

\frac{100000000}{(1 + 0.07)^{30} } = PV  

PV   13,136,711.72

Total current value of the bonds:

PV coupon  $ 74,454,247.1010

PV maturity  $<u>  13,136, 711.7155 </u>

Total             $87,590,958.8165

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