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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 939.96,maturesin16years,andhasaparvalueof939.96, matures in 16 years, and has a par value of 1,000. What is the YTM of the bond?

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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 = 58F=58 F = 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.

This problem has been solved

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