Answer:
Price of bond = €875.09
Explanation:
The value of the bond is the present value(PV) of the future cash receipts expected from the bond. The value is equal to present values of interest payment plus the redemption value (RV).
Value of Bond = PV of interest + PV of RV
The value of bond would be worked out as follows:
Step 1
Calculate the PV of interest payments
Annual interest payment
= 3.8% × 1,000 = 38
PV of interest payment = A ×(1- (1+r)^(-n))/r
r- annual yield = 4.7%
n- 23
PV of interest payment= 38 × (1-(1.047^(-23)/0.047 = €527.37
Step 2
PV of redemption Value
PV = RV × (1+r)^(-n)
PV = 1,000 × (1.047)^(-23) = €347.717
Step 3
Price of bond
= 527.37+ 347.717 = €875.09
Price of bond = €875.09
