O’Brien Ltd.’s outstanding bonds have a $1,000 par value, and they mature in 15 years. Their nominal yield to maturity is 7.00%, they pay interest semiannually, and they sell at a price of $960. What is the bond’s nominal (annual) coupon interest rate?
A. |
6.57% |
|
B. |
6.10% |
|
C. |
7.00% |
|
D. |
3.28% |
M = $1000, n = 15 *2 = 30 semi-annual periods, P = $960, i = 7%/2 = 3.5% (semi-annual),
960 = C * 18.3920 + 356.2784
603.7216 = C * 18.3920
C = $32.83 --> Semi-annual
Annual Coupon = 2 * $32.83 = $65.7
Coupon Rate = Annual Coupon/Par Value = $65.7/$1000 = 6.57%
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