In: Accounting
Problem 1
Company: XYZ Company
Date of bonds: January 1, 2019
Term: 4 years
Face (Par) Value: $1,000
Stated interest rate: 10%
Effective interest rate: 12%
Interest payment dates on January 1 and July 1
Market
interest rate = 12%
Market
interest rate for a semiannual period = 12% / 2 = 6%
r = 0.06
(per semiannual period),
n = 8
(semiannual periods)
Present value of
principal
= $1,000 x
Present value factor for a single payment (6%, 8
periods)
= $1,000 x
0.6274
=
$627
Interest
payment each semiannual period
= $1,000 x
5%
=
$50
(Coupon
rate for a semiannual period = 10% / 2 = 5%.)
Present value of interest
payments
= Interest
payment each semiannual period
x Present value factor for an ordinary annuity (6%, 8
periods)
= ($1,000
x 5%) x 6.2098
=
$310
Price of
bonds
= Present
value of principal + Present value of interest
payments
= $627 +
$310
=
$937
The bonds
will be sold at a
$63discount from the face
amount.
($1,000 -
$937 = $63)
Journal Entry for Issuance :
Dr. Cash 937
Dr. Discount 63
Cr. Bonds Payable 1,000
Date | Interest paid | Effective interest rate for semiannual period | Interest expense | Amortization of discount | Present value of bonds | |
1/1/2019 | $937 | |||||
7/1/2019 | $50 | 6% | $56 | $6 | $943 | |
1/1/2020 | $50 | 6% | $57 | $7 | $950 | |
7/1/2020 | $50 | 6% | $57 | $7 | $957 | |
1/1/2021 |
|
6% | $58 | $8 | $965 | |
7/1/2021 |
|
6% | $58 | $8 | $973 | |
1/1/2022 |
|
6% | $58 | $8 | $981 | |
7/1/2022 |
|
6% | $59 | $9 | $990 | |
1/1/2023 |
|
6% | $60 | $10 | $1,000 | |
Journal Entry on 7/1/2019:
a) Dr. Interest Exp. 50
Cr. Cash 50
b) Dr. Interest exp. 6
Cr. Bond discount 6
Journal Entry on 1/1/2020:
a) Dr. Interest Exp. 50
Cr. Cash 50
b) Dr. Interest exp. 7
Cr. Bond discount 7
Interest Expense for the year ended December 31,2019 is $ 56