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A & B Corporation issued bonds for 10 years, with face value of $10,000 and a...

A & B Corporation issued bonds for 10 years, with face value of $10,000 and a 6% annual coupon rate. What is the current market price of the bond if the market rate is 8%? Assume semi-annual payments.

How would your answer change if the market rate falls to 6%?

Solutions

Expert Solution

                  K = Nx2
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
                  K =10x2
Bond Price =∑ [(6*10000/200)/(1 + 8/200)^k]     +   10000/(1 + 8/200)^10x2
                   k=1
Bond Price = 8640.97
                  K = Nx2
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
                  K =10x2
Bond Price =∑ [(6*10000/200)/(1 + 6/200)^k]     +   10000/(1 + 6/200)^10x2
                   k=1
Bond Price = 10000

jeff jeffy answered 10 months ago
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