In: Accounting
On January 1, 2023, Ajax Ltd. issued $10 million in bonds. The bonds have a 10-year term, 6% annual market interest rate, and pay interest semiannually. The seventeenth semiannual payment of $400,000 consisted of $311,15, interest and $88,849 premium amortization, after which the carrying amount was reduced to $10,282,861. What is the carrying value of the bonds after the eighteenth semiannual payment of $400,000?
Market interest rate = 6%
Semi annual interest payment = $400,000
Carrying value of bonds after seventeenth semi annual payment = $10,282,861
Interest expense for eighteenth payment period = Carrying value of bonds after seventeenth semi annual payment x Market interest rate x 6/12
= 10,282,861 x 6% x 6/12
= $308,486
Amortization of bond premium in eighteenth semi annual payment = Semi annual interest payment- Interest expense for eighteenth payment period
= 400,000-308,486
= $91,514
Carrying value of the bonds after the eighteenth semiannual payment = Carrying value of bonds after seventeenth semi annual payment - Amortization of bond premium in eighteenth semi annual payment
= 10,282,861-91,514
= $10,191,347