Answer:
Price of bonds = $1,389.73
Explanation:
<em>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).
</em>
Value of Bond = PV of interest + PV of RV
The value of bond for Hillard can be worked out as follows:
Step 1
<em>Calculate the PV of interest payments
</em>
Semi annual interest payment
= 10% × 1,000 × 1/2 =50
PV of interest payment
A ×(1- (1+r)^(-n))/r
r- semi-annual yield = 5%/2 = 2.5%
n- 10× 2 = 20.
Note that the bonds now have 10 years to maturity because it was issued 2 years ago
PV on interest = 50 × (1-(1.025^(-20)/0.0425 = 779.45
Step 2
<em>PV of redemption Value
</em>
PV = $1,000 × (1.025)^(-20)
= 610.27
Step 3
<em>Price of bond
</em>
= 779.45+ 610.27 = $1,389.73
Price of bonds = $1,389.73
