Question

A company issues $15,000,000, 7.8%, 20-year bonds to yield 8% on January 1, 2019. Interest is paid on June 30 and December 31. The proceeds from the bonds are $14,703,108. Using straight-line amortization, what is the carrying value of the bonds on December 31, 2021?

Answer 1

$14,747,642

Step-by-step explanation:

Data provided in the question

Issued amount = $15,000,000

Coupon rate = 7.8%

Time period = 20 years

Yield to maturity is 8%

So for computing the carrying value of the bonds

First we have to compute the discount amortization for 3 years which is shown below:

= ($15,000,000 - $14,703,108) ÷ 20 years × 3 years

= $44,533.80

So, the carrying value of the bonds

= $14,703,108 + $44,533.80

= $14,747,642