55. A company issues $10 million in 8% annual-pay, 5-year bonds, when the market rate is 8.25%. the initial balance sheet liability and liability one year from the date of issue are closest to:
| initial liability | liability one year later |
A. | $9,900,837 | $9,917,656 |
B. | $10,000,000 | $9,975,000 |
C. | $10,099,163 | $10,082,344 |
| |
Ans: A.
PMT = 800,000; FV = 10,000,000; N = 5; I/Y = 8.25;
CPT → PV = $9,900,837
Interest expense = 9,900,836.51 x 0.0825 = $816,819.01
Year-end adjustment = 816,819.01 – 800,000 = $16,819.01
Year-end debt = $9,900,836.51 + $16,819.01 = $9,917,655.52
Note: sine this is a discount bond, we know the initial liability will be less than the face value, so we really didn’t have to do any calculations to answer this question. |