Answer:
Price of bond= $1,185.72
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
annual coupon rate = 7.1%
Annual Interest payment =( 7.1%×$1000)= $71
Annual yield = = 5.5%
PV of interest payment
= A ×(1- (1+r)^(-n))/r
A- interest payment, r- yield - 5.5%, n- no of periods -19 periods
= 71× (1-(1.055)^(-19))/0.055)
= 71× 11.60765352
= 824.143
Step 2
PV of redemption value (RV)
PV = RV × (1+r)^(-n)
RV - redemption value- $1000, n- 19, r- 5.5%
= 1,000 × (1+0.055)^(-19)
= 361.579
Step 3
Price of bond = PV of interest payment + PV of RV
$824.143 + $361.579
Price of bond= $1,185.72
