How does the equation for valuing a $1000 par value bond change if semiannual payments are made? Find the value of a 10-year, semiannual payment, 10 percent coupon bond if nominal rd = 13%.
If semi annual payments are made:
Number of periods = 10 * 2 = 20
Coupon = 0.1 * 1000 = 100 / 2 = 50
Rate = 13% / 2 = 6.5%
Value of Bond = Annuity * [ 1 - 1 / ( 1 + r)n] / r + FV / ( 1 + r)n
Value of Bond = 50 * [ 1 - 1 / ( 1 + 0.065)20] / 0.065 + 1000 / ( 1 + 0.065)20
Value of Bond = 50 * 11.018507 + 283.797029
Value of Bond = $834.72
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