Bond price = coupon * (1 - (1 + YTM)^(-n))/YTM + face value/(1 + YTM)^n
868.92 = 36.5 * (1 - (1+YTM)^(-30))/YTM + 1000/(1 + YTM)^30
by solving trail and error we will get the value of YTM = 4.449%
If he wants to sell after receiving 20 coupons then we can find the value of the bond using following formula:
Bond price = coupon * (1 - (1 + YTM)^(-n))/YTM + face value/(1 + YTM)^n
Bond price = 36.5 * (1 - 1.0445^(-10))/.0445 + 1000/(1.0445)^10
= 36.5 * 7.9322 + 647.01
= 289.5 + 646.01
= $936.5
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