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Bond X is a premium bond making semiannual payments

Finance Dec 27, 2020

Bond X is a premium bond making semiannual payments. The band has a coupon rate of 88 percenta Yn of 60 percent and has 13 years to maturity. Bond Yacount Dond making semiannual payments. This bond has a coupon rate of 6 8 percent a YTM of 8 percent and has 13 years to matty Assume the best eman undanged and both bonds tuve a par value of $1,000

Expert Solution

Current Bond price
 
X Bond
 
 
                  K = Nx2
Bond Price =∑ [( Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
 
                  K =13x2
Bond Price =∑ [(8.8*1000/200)/(1 + 6.8/200)^k]     +   1000/(1 + 6.8/200)^13x2
                   k=1
 
Bond Price = 1170.81
 
 
Y Bond
 
                  K = Nx2
Bond Price =∑ [( Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
 
                  K =13x2
Bond Price =∑ [(6.8*1000/200)/(1 + 8.8/200)^k]     +   1000/(1 + 8.8/200)^13x2
                   k=1
 
Bond Price = 846.92
 
Price in 1 year
 
X Bond
 
                  K = Nx2
Bond Price =∑ [( Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
 
                  K =12x2
Bond Price =∑ [(8.8*1000/200)/(1 + 6.8/200)^k]     +   1000/(1 + 6.8/200)^12x2
                   k=1
 
Bond Price = 1162.28
 
 
 
Y Bond
 
                  K = Nx2
Bond Price =∑ [( Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
 
                  K =12x2
Bond Price =∑ [(6.8*1000/200)/(1 + 8.8/200)^k]     +   1000/(1 + 8.8/200)^12x2
                   k=1
 
Bond Price = 853.59
 
 
Price in 3 year
 
X Bond
 
                  K = Nx2
Bond Price =∑ [( Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
 
                  K =10x2
Bond Price =∑ [(8.8*1000/200)/(1 + 6.8/200)^k]     +   1000/(1 + 6.8/200)^10x2
                   k=1
 
Bond Price = 1143.42
 
 
 
Y Bond
 
                  K = Nx2
Bond Price =∑ [( Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
 
                  K =10x2
Bond Price =∑ [(6.8*1000/200)/(1 + 8.8/200)^k]     +   1000/(1 + 8.8/200)^10x2
                   k=1
 
Bond Price = 868.79
 
Price in 8 year
 
X Bond
 
                  K = Nx2
Bond Price =∑ [( Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
 
                  K =5x2
Bond Price =∑ [(8.8*1000/200)/(1 + 6.8/200)^k]     +   1000/(1 + 6.8/200)^5x2
                   k=1
 
Bond Price = 1083.59
 
 
 
Y Bond
 
                  K = Nx2
Bond Price =∑ [( Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
 
                  K =5x2
Bond Price =∑ [(6.8*1000/200)/(1 + 8.8/200)^k]     +   1000/(1 + 8.8/200)^5x2
                   k=1
 
Bond Price = 920.48
 
 
Price in 12 year
 
X Bond
 
                  K = Nx2
Bond Price =∑ [( Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
 
                  K =1x2
Bond Price =∑ [(8.8*1000/200)/(1 + 6.8/200)^k]     +   1000/(1 + 6.8/200)^1x2
                   k=1
 
Bond Price = 1019.02
 
 
 
Y Bond
 
                  K = Nx2
Bond Price =∑ [( Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
 
                  K =1x2
Bond Price =∑ [(6.8*1000/200)/(1 + 8.8/200)^k]     +   1000/(1 + 8.8/200)^1x2
                   k=1
 
Bond Price = 981.25
 
 
Price in 13 year
 
X Bond
 
                  K = Nx2
Bond Price =∑ [( Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
 
                  K =0x2
Bond Price =∑ [(8.8*1000/200)/(1 + 6.8/200)^k]     +   1000/(1 + 6.8/200)^0x2
                   k=1
 
Bond Price = 1000
 
 
 
Y Bond
 
                  K = Nx2
Bond Price =∑ [( Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
 
                  K =0x2
Bond Price =∑ [(6.8*1000/200)/(1 + 8.8/200)^k]     +   1000/(1 + 8.8/200)^0x2
                   k=1
 
Bond Price = 1000
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