Respuesta :
Answer:
P = 9359.8
Explanation:
Given:
- n = 14
- YTM = 7.75% = 0.0775
- F = 1000
- Coupon rate = 7.0 percent => Coupon payment is: 1000*7% = 70
As we know that, the formula to find out YTM is:
YTM = [C + (F-P/n) ] / (F+ P) / 2
<=> 0.0775 = [ 70 + (1000 - P/14)] / (1000+P)/2
<=> 0.0775(1000+P) /2 = 70 + (1000 - P/14)
<=> 0.0775(1000+P) = 140 + 2(1000 - P/14)
<=> P = 9359.8
So the price of the $1,000 face value bond is 9359.8
Answer:
$936.60
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.
The price of the bond can be calculated as follows:
Step 1
PV of interest payment
Semi-annual coupon rate = 7.0%/2 = 3.5%
Interest payment =( 3.5%×$1000)=
= $35
Semi annual yield = 7.75%/2 = 3.875%
PV of interest payment
= A ×(1- (1+r)^(-n))/r
A- interest payment = $35
n- time to maturity - 14× 2= 28 periods
= 35× (1-(1.03875)^(-14×2))/0.03875)
= 35× 16.91567435
=$ 591.7048215
Step 2
PV of redemption value (RV)
PV = RV× (1+r)^(-n)
= 1,000 × (1+0.03875)^(-2× 14)
= 344.89
Step 3
Price of bond =
$591.70 + 344.89
$936.60
