In: Accounting
Appling Enterprises issued 10% bonds with a face amount of
$540,000 on January 1, 2018. The bonds sold for $496,675 and mature
in 2037 (20 years). For bonds of similar risk and maturity the
market yield was 11%. Interest is paid semiannually on June 30 and
December 31. Appling determines interest expense at the effective
rate. Appling elected the option to report these bonds at their
fair value. The fair values of the bonds at the end of each quarter
during 2018 as determined by their market values in the
over-the-counter market were the following:
March 31 | $530,000 |
June 30 | 510,000 |
September 30 | 501,000 |
December 31 | 508,000 |
General (risk-free) interest rates did not change during
2018.
Required:
1. By how much will Appling’s comprehensive
income be increased or decreased by the bonds (ignoring taxes) in
the March 31 quarterly financial statements?
2. By how much will Appling’s comprehensive income
be increased or decreased by the bonds (ignoring taxes) in the June
30 quarterly financial statements?
3. By how much will Appling’s comprehensive income
be increased or decreased by the bonds (ignoring taxes) in the
September 30 quarterlyfinancial statements?
4.By how much will Appling’s comprehensive income
be increased or decreased by the bonds (ignoring taxes) in the
December 31 annualfinancial statements?
(For all requirements, Do not round your intermediate
calculations.)
|
Workings:
Semi-annual periods |
(A): Interest plus redemption value |
(B): PV factor@ 5.5% pa |
Present value (A x B) |
1 |
27000 |
0.947867 |
25592.42 |
2 |
27000 |
0.898452 |
24258.22 |
3 |
27000 |
0.851614 |
22993.57 |
4 |
27000 |
0.807217 |
21794.85 |
5 |
27000 |
0.765134 |
20658.63 |
6 |
27000 |
0.725246 |
19581.64 |
7 |
27000 |
0.687437 |
18560.79 |
8 |
27000 |
0.651599 |
17593.17 |
9 |
27000 |
0.617629 |
16675.99 |
10 |
27000 |
0.585431 |
15806.63 |
11 |
27000 |
0.554911 |
14982.58 |
12 |
27000 |
0.525982 |
14201.5 |
13 |
27000 |
0.498561 |
13461.14 |
14 |
27000 |
0.472569 |
12759.37 |
15 |
27000 |
0.447933 |
12094.19 |
16 |
27000 |
0.424581 |
11463.69 |
17 |
27000 |
0.402447 |
10866.06 |
18 |
27000 |
0.381466 |
10299.58 |
19 |
27000 |
0.361579 |
9762.635 |
20 |
567000 |
0.342729 |
194327.3 |
Present value as on January 01, 2018 |
507734 |
||
Less: Present value of interest from January 01, to 31st March, 2018 |
|||
Interest for 3 months (540000 x 10%) x 3/12 |
13500 |
||
Present value multiplication factor |
0.947867 |
||
Present value of interest (13500 x 0.947867) |
12796.21 |
||
Present value of bond as on 31st March, 2018 |
494937.8 |
Part 1:
Particulars |
Amount ($) |
Fair value of bond on March 31 |
530000 |
Less: Present value of bond as on 31st March, 2018 |
507734 |
Appling's comprehensive income will be increased by (530000 - 507734) |
22266.03 |
Part 2:
Present value as on January 01, 2018 |
507734 |
||
Less: Present value of interest from January 01, to 30th June, 2018 |
|||
Interest for 6 months (540000 x 10%) x 6/12 |
27000 |
||
Present value multiplication factor |
0.947867 |
||
Present value of interest (27000 x 0.947867) |
25592.42 |
||
Present value of bond as on 30th June, 2018 |
482141.6 |
||
Particulars |
Amount ($) |
||
Fair value of bond on 30th June |
510000 |
||
Less: Present value of bond as on 30th June, 2018 |
482141.6 |
||
Appling's comprehensive income will be increased by (510000 - 482141.60) |
27858.45 |
Part 3:
Present value as on January 01, 2018 |
507734 |
||
Less: Present value of interest from January 01, to 30th September, 2018 |
|||
Interest for 9 months (540000 x 10%) x 9/12 |
40500 |
||
Present value multiplication factor |
0.898452 |
||
Present value of interest (40500 x 0.898452) |
36387.32 |
||
Present value of bond as on 30th September, 2018 |
471346.6 |
||
Particulars |
Amount ($) |
||
Fair value of bond on September 30, 2018 |
501000.00 |
||
Less: Present value of bond as on 30th September, 2018 |
471346.6 |
||
Appling's comprehensive income will be increased by (501000 - 471346.60) |
29653.36 |
Part 4:
Present value as on January 01, 2018 |
507734 |
||
Less: Present value of interest from January 01, to 31st December, 2018 |
|||
Interest for 12 months (540000 x 10%) |
54000 |
||
Present value multiplication factor |
0.898452 |
||
Present value of interest (54000 x 0.898452) |
48516.43 |
||
Present value of bond as on 31st December, 2018 |
459217.5 |
Particulars |
Amount ($) |
Hair value of bond on March 31 |
508000 |
Less: Present value of bond as on 30th June, 2018 |
459217.5 |
Appling's comprehensive income will be increased by (508000 - 459217.50) |
48782.46 |