10. On 1 January 2009, a company that prepares its financial statements according to IFRS issued bonds with the following features:
? Face value £20,000,000
? Term 5 years
? Coupon rate 6% paid annually on December 31
? Market rate at issue 4%
The company did not elect to carry the bonds at fair value. In December 2011 the market rate on similar bonds had increased to 5% and the company decided to buy back (retire) the bonds after the coupon payment on December 31. As a result, the gain on retirement reported on the 2011 statement of income is closest to:
A. £340,410.
B. £371,882.
C. £382,556.
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Ans. C.
The market value of debt at retirement can be determined by discounting the future cash flows at the current market rate (5%) using a financial calculator:
FV = 20,000,000; i = 5%; PMT = 1,200,000; N = 2; Compute PV = 20,371,882
The book value after the third interest payment (two payments remaining) can be found either using a financial calculator and the market rate at the time of issue (4%) or an amortization table (shown below).
FV = 20,000,000; i = 4%; PMT = 1,200,000; N = 2; Compute PV = 20,754,438.
The bond’s initial value (required for amortization) can be found using a financial calculator:
FV = 20,000,000; i = 4%; PMT = 1,200,000; N = 5; Compute PV = 21,780,729.
|
Principal value at beginning of year |
Interest expense 4% |
Coupon 6% |
Discount amortization |
2009 |
21,780,729 |
871,229 |
1,200,000 |
328,771 |
2010 |
21,451,958 |
858,078 |
1,200,000 |
341,922 |
2011 |
21,110,036 |
844,401 |
1,200,000 |
355,599 |
Book value at end of 2011=21,110,036-355,599=20,754,438 |
Gain=Book value of debt – Market value
= 20,754,438 – 20,371,882 =382,556 |