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Gugenheim, Inc., has a bond outstanding with a coupon rate of 7.7 percent and annual payments. The yield to maturity is 8.9 percent and the bond matures in 17 years. What is the market price if the bond has a par value of $2,000?

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Answer:

Bond price= $1,793.62

Explanation:

Giving the following information:

Face value= $2,000

Number of periods= 17

Cupon rate= 0.077

YTM= 0.089

To calculate the price of the bond, we need to use the following formula:

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 154*{[1 - (1.089^-17)] / 0.089} + [2,000/1.089^17)

Bond Price​= 1,324.21 + 469.41

Bond price= $1,793.62

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