Answer :
Answer:
Price of bond= $1,922.92
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
Semi-annual interest = 4.93% × 2,000 × 1/2 =49.3
Semi-annual yield = 5.29%/2= 2.65%
PV of interest payment
PV = A (1- (1+r)^(-n))/r
A- 49.3, r-0.02645, n- 16×2
= 49.3× (1-(1.02645)^(-10)/0.02645)
= 1,055.521
PV of redemption Value
PV = F × (1+r)^(-n)
F-2000, r-0.02645, n- 16 ×2
PV = 2,000 × 1.02645^(-16×2)
PV = 867.402
Price of Bond
1055.52 + 867.40 =1,922.92
= $1,922.92