Bringham Company issues bonds with a par value of $800,000. The bonds mature in 10 years and pay 6% annual interest in semiannual payments. The annual market rate for the bonds is 8%. (Table B.1. Table 8.2. Table 8.3, and Table B.4) (Use appropriate factor(s) from the tables provided.)
1. Compute the price of the bonds as of their issue date.
2. Prepare the journal entry to record the bonds' Issuance.
Correct Answer:
Table value are based on |
|||||
n= |
3% |
||||
i= |
4% |
||||
Cash Flow |
table value |
* |
Amount |
= |
Present value |
Par (maturity) value |
$ 0.46 |
* |
$ 800,000.00 |
= |
$ 365,040.00 |
Interest (annuity) |
$ 13.59 |
* |
$ 24,000.00 |
= |
$ 326,167.20 |
Price of bonds |
$ 691,207 |
Date |
Description |
Debit |
Credit |
Cash |
$ 691,207 |
||
Discount on bonds Payable |
$ 108,793 |
||
Bonds payable |
$ 800,000 |
||
(Issue of bonds ) |
Working:
Annual Rate |
Applicable rate |
Face Value |
$ 800,000.00 |
||
Market Rate |
8.00% |
4.00% |
Term (in years) |
10 |
|
Coupon Rate |
6.00% |
3.00% |
Total no. of interest payments |
20 |
Calculation of Issue price of Bond |
||||||||
Bond Face Value |
Market Interest rate (applicable for period/term) |
|||||||
PV of |
$ 800,000 |
at |
4.00% |
Interest rate for |
20 |
term payments |
||
PV of $1 |
0.45639 |
|||||||
PV of |
$ 800,000 |
= |
$ 800,000 |
x |
0.4563 |
= |
$ 365,040 |
A |
Interest payable per term |
at |
3.0% |
on |
$ 800,000 |
||||
Interest payable per term |
$ 24,000 |
|||||||
PVAF of 1$ |
for |
4.0% |
Interest rate for |
20 |
term payments |
|||
PVAF of 1$ |
13.59033 |
|||||||
PV of Interest payments |
= |
$ 24,000.00 |
x |
13.5903 |
= |
$ 326,167 |
B |
|
Bond Value (A+B) |
$ 691,207 |
End of answer.
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1) Issue price of bonds = (800000*3%*13.59033+800000*0.45639) = 691280
2) Journal entry
date | account and explanation | debit | Credit |
Cash | 691280 | ||
Discount on bonds payable | 108720 | ||
Bonds payable | 800000 | ||
(To record bond issue) | |||
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