Question

On January 1, 2021, NFB Visual Aids issued $720,000 of its 20-year, 8% bonds. The bonds were priced to yield 10%. Interest is payable semiannually on June 30 and December 31. NFB Visual Aids records interest expense at the effective rate and elected the option to report these bonds at their fair value. On December 31, 2021, the fair value of the bonds was $600,000 as determined by their market value in the over-the-counter market. General (risk-free) interest rates did not change during 2021. (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 tables provided.)
Required:
1-a. Determine the price of the bonds at January 1, 2021.
1-b to 4. Prepare the necessary Journal entries.

Answer 1

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