Answer:
Value of the bond = $862.013
Explanation:
The value of the bond is the present value of the future cash receipts expected from the bond. The value is equal to present values of interest payment and the redemption value (RV).
Value of Bond = PV of interest + PV of RV
The value of the bond can be worked out as follows:
Step 1
Calculate the PV of Interest payment
Present value of the interest payment
PV = Interest payment × (1- (1+r)^(-n))/r
Interest payment = $40
PV = 40 × (1 - (1.05)^(-12×2)/0.05)
= 40 × 13.7986
= 551.945
Step 2
PV of redemption Value
PV of RV = RV × (1+r)^(-n)
= 1000 × (1.05)^(-12×2)
= 310.067
Step 3
Calculate Value of the bond
= 551.94567 + 310.067
=862.01
Value of the bond = $862.013
