Answer and Explanation:
The computation of price of the bonds is shown below:-
Interest on Bond = Bond Face Value × Interest rate × 6 ÷ 12 months
= $720,000 × 8% × 6 ÷ 12
= $28,800
Present Value of interest payments = Interest on bond × PVAF(i%, n)
i = semi annual discounting rate = 10% × 6 ÷ 12
= 5%
n = number of semi annual periods
= 20 years × 2 periods
= 40 periods
Present Value of interest payments = $28,800 × PVAF(5%, 40)
= $28,800 × 17.15909
= $494,182
Present Value of Redemption Value = Redemption Value × PVF(5%, 40)
= $720,000 × 0.142046
= $102,273
Price of Bonds = $494,182 + $102,273
= $596,455
1-b The Journal entries are shown below:-
a. Cash Dr, 596,455
Discount on Bonds Payable Dr, $123,545
To Bonds Payable $720,000
(Being the issuance of bonds is recorded)
b. Interest Expense Dr, $29,823 (596,455 × 10% × 6 ÷ 12)
To Discount on Bonds Payable $1,023
To Cash $28,800 ($720,000 × 8% × 6 ÷ 12)
(Being the first interest payment is recorded)
c. Interest Expense Dr, $29,874 (($596,455 + $1,023) × 10% × 6 ÷ 12)
To Discount on Bonds Payable $1,074
To Cash Dr, $28,800
($720,000 × 8% × 6 ÷ 12)
(To record the second interest payment)
d. Unrealized Holding Loss Dr, 1,448
To Fair Value Adjustment $1,448
(Being adjust the bonds to their fair value is recorded)
Working Notes:
1) Bonds Payable Value after adjusting Discount
= $596,455+$1,023+$1,074
= $598,552
Fair Value of Bonds as on Dec 31 = $600,000
Fair Value adjustment amount is
= $600,000 - $598,552
= $1,448
