Footsteps Company has a bond outstanding with a coupon rate of 5.8 percent and annual payments. The bond currently sells for $939.96, matures in 16 years, and has a par value of $1,000. What is the YTM of the bond?
Question
Footsteps Company has a bond outstanding with a coupon rate of 5.8 percent and annual payments. The bond currently sells for 1,000. What is the YTM of the bond?
Solution
To calculate the Yield to Maturity (YTM) of the bond, we can use the formula for YTM which is:
YTM = [C + (F - P)/n] / [(F + P)/2]
Where: C = Annual coupon payment (coupon rate * par value) F = Face value of the bond P = Purchase price of the bond n = Years until maturity
Given in the problem: C = 5.8/100 * 1000 = 1000 P = $939.96 n = 16 years
Substituting these values into the formula, we get:
YTM = [58 + (1000 - 939.96)/16] / [(1000 + 939.96)/2]
Solving this will give us the YTM of the bond.
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