5 years ago you purchased a 15 year $1,000 bond. The bond sells for $899.06. Comparable debt yields 11 percent. What is the bond's coupon rate?
10.85%
7.71%
8.66%
9.29%
9.81%
Answer is 9.29%.
Year | Present value factor @ 11% |
1 | 0.9009 |
2 | 0.8116 |
3 | 0.7312 |
4 | 0.6587 |
5 | 0.5935 |
6 | 0.5346 |
7 | 0.4817 |
8 | 0.4339 |
9 | 0.3909 |
10 | 0.3522 |
Total | 5.8892 |
Bond valuation is calculating the present value of a bond's future interest payments and the bond's value upon maturity.
Let X be the coupon.
899.08 = (X*5.8892) + (1000*0.3522)
899.08 - 352.20 = 5.8892X
546.86 / 5.8892 = X
X = 92.85811
Coupon is $ 92.86
Coupon rate is (92.86/ 1000) * 100
= 9.29%
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