Answer:
Expected selling price =$ 1,271.81
Explanation:
The price of a bond is the present value (PV) of the future cash inflows expected from the bond discounted using the yield to maturity.
These cash flows include interest payment and redemption value
The price of the bond can be calculated as follows:
Step 1
PV of interest payment
coupon rate - 12%, yield - 8%, years to maturity- 10 years
Semi-annual coupon rate = 12%/2 = 6%
Semi-annual Interest payment =( 6%×$1000)= $60
Semi annual yield = 8%/2 = 4%
PV of interest payment
= A ×(1- (1+r)^(-n))/r
A- interest payment, r- yield - 4%, n- no of periods- 2 × 10 = 20periods
= 60× (1-(1.04)^(-10×2))/0.04)
= 60× 13.59032634
=$815.41
Step 2
PV of redemption value (RV)
PV = RV × (1+r)^(-n)
RV - redemption value- $1000, n- 2×10 r- 4%
= 1,000 × (1+0.04)^(-2×10)
= $456.38
Step 3
Price of bond = PV of interest payment + PV of RV
= $815.41 + $456.38
= $ 1,271.81
Expected selling price =$ 1,271.81
