Question

The 5.3 percent bond of Dominic Cyle Parts has a face value of $1,000, a maturity of 12 years, semiannual interest payments, and a yield to maturity of 6.12 percent. What is the current market price of the bond?

Answer 1

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

Download xlsx