Question

Valuing Bonds Microhard has issued a bond with the following characteristics: Par: $1,000 Time to maturity: 15 yearsCoupon rate: 7 percent Semiannual payments Calculate the price of this bond if the YTM is: a. 7 percent b. 9 percent c. 5 per

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Answer #1

a

                  K = Nx2
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
                  K =15x2
Bond Price =∑ [(7*1000/200)/(1 + 7/200)^k]     +   1000/(1 + 7/200)^15x2
                   k=1
Bond Price = 1000

b

                  K = Nx2
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
                  K =15x2
Bond Price =∑ [(7*1000/200)/(1 + 9/200)^k]     +   1000/(1 + 9/200)^15x2
                   k=1
Bond Price = 837.11

c

                  K = Nx2
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
                  K =15x2
Bond Price =∑ [(7*1000/200)/(1 + 5/200)^k]     +   1000/(1 + 5/200)^15x2
                   k=1
Bond Price = 1209.3
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