In: Accounting
Appling Enterprises issued 8% bonds with a face amount of
$600,000 on January 1, 2021. The bonds sold for $544,795 and mature
in 2040 (20 years). For bonds of similar risk and maturity the
market yield was 9%. 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 2021 as determined by their market values in the
over-the-counter market were the following:
March 31 | $580,000 |
June 30 | 560,000 |
September 30 | 555,000 |
December 31 | 562,000 |
General (risk-free) interest rates did not change during
2021.
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 quarterly financial statements?
4. By how much will Appling’s comprehensive income
be increased or decreased by the bonds (ignoring taxes) in the
December 31 annual financial statements?
(For all requirements, do not round your intermediate
calculations.)
Effective rate=(1+nominal rate/n)n-1
For quarterly n=12 months(4 quarters in a year) question is calculated on the quarter basis.
8%= (1+0.08/4)4* _1=2%
9%=(1+0.09/4)4*_1=2.250%
A) issuing value of bond ×effective rate=$600000×2%=$12000
Market value×effective rate=$580000×2.250=$13050
Hence income increased by $1050(13050_12000)on 31 march 2021
B) issuing value of bond×effective rate=600000×2%=$12000
Market value of bond×effective rate=560000×2.250%=$5850
Hence income decresed by $6150(5850_12000)on june 30 2021
C) issuing value of bond×effective rate=600000×2%=$12000
Market value of bond×effective rate=555000×2.250%=$12487.5
Hence income increased by $487.5(12487.5_12000)on 30 september 2021
D)issuing value of bond×effective rate=600000×2%=$12000
Market value of bond×effective rate=562000×2.250%=$12645
Hence income increased by $645(12645_12000)on 31 dec 2021