Answer:
Price of bond= $1,196
Step-by-step 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
= 5.8% × 2,000× = 116
PV of interest payment
A ×(1- (1+r)^(-n))/r
A- 116
r- annual yield 5.8%
n = 30
= 116 × (1-(1.101)^(-30)/0.101
= 1084.465
Step 2
PV of redemption Value
PV = $2000 × (1.101)^(-30)
= 111.53
Step 3
Price of bond
= 111.53 + 1084.465159 = 1195.99
Price of bond= $1,196