Question

A company issues $16200000, 5.8%, 20-year bonds to yield 6% on January 1, 2020. Interest is paid on June 30 and December 31. The proceeds from the bonds are $15825541. Using effective-interest amortization, how much interest expense will be recognized in 2020?

Answer 1

Answer:

The amount of interest expense which will be recognized in 2020 is $949,681.45.

Explanation:

The following are given in the question:

Bond value = $16200000

Bond interest rate = 5.8%

Proceed from bond = $15825541

Yield rate = 6%

The amount of interest expense which will be recognized in 2020 can now be calculated as follows:

Interest expense for January 1, 2020 to June 30, 2020 = Proceed from bond * Yield rate * (6 / 12) = $15825541 * 6% * (6 / 12) = $474,766.23

Discount amortized during first 6 months = Interest expense for January 1, 2020 to June 30, 2020 - (Bond value * Bond interest rate * (6 / 12)) = $474,766.23 - ($16200000 * 5.8% * (6 / 12)) = $474,766.23 - 469,800 = $4,966.23

Interest expense for July 1, 2020 to December 31, 2020 = (Proceed from bond + Discount amortized during first 6 months) * Yield rate * (6 / 12) = ($15825541 + $4,966.23) * 6% * (6 / 12) = $474,915.22

Interest expense to be recognized in 2020 = Interest expense for January 1, 2020 to June 30, 2020 + Interest expense for July 1, 2020 to December 31, 2020 = $474,766.23 + $474,915.22 = $949,681.45

Therefore, the amount of interest expense which will be recognized in 2020 is $949,681.45.