Answer:
$936.17
Explanation:
The current market price of the bond = present value of all coupon received + present value of face value on maturity date
The discount rate in all calculation is YTM (6.12%), and its semiannual rate is 3.06%
Coupon to received semiannual = 5.3%/2*$1000= $26.5
We can either calculate PV manually or use formula PV in excel to calculate present value:
Manually:
PV of all coupon received semiannual = 26.5/(1+3.06)^1 + 26.5/(1+3.06)^2....+ 26.5/(1+3.06)^24 = $445.9
PV of of face value on maturity date = 1000/(1+6.12%)^12 = $490.27
In excel:
PV of all coupon received semiannual = PV(3.06%,24,-$26.5) = $445.9
PV of of face value on maturity date = PV(6.12%,12,-$1000) = 1000/(1+6.12%)^12 = $490.27
The current market price of the bond = $445.9 + $490.27 = $936.17
Please excel calculation attached
