A bond with a face value of $1,000 matures in 9 years and has a 7% semiannual co
ID: 2653678 • Letter: A
Question
A bond with a face value of $1,000 matures in 9 years and has a 7% semiannual coupon. The bond currently sells for $846.
You would pay $846 for each bond if you think that a “fair” market interest rate (discount rate) for such bonds is ____. (hint: find out what is the nominal yield to maturity first) (Please Show work and calculation which led to the solution of the problem)
a) 10.24%
b) 12.53%
c) 11.28%
d) 8.67%
e) 15.60%
A bond with a face value of $1,000 matures in 9 years and has a 7% semiannual coupon. The bond currently sells for $846.
Explanation / Answer
We need to find the YTM in order to tell the market interest rate.
Approx. YTM = [C + (F-P)/n] / [(F+P)/2] = [70 + (1,000-846)/9] / [(1,000+846)/2] = 9.64%
Note: Please review the options since 9.64% is the only possible answer with the given data.
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