The Chestnut Company has a level-coupon bond outstanding (face value = $1,000) that pays $120 per year and has 10 years to maturity. If the yield for similar bonds is currently 14%, what is the bond's value?

Respuesta :

Answer:

Bond value $895.6777

Explanation:

The price of the bond in the market will be equivalent to the presetn value of the future coupon payment and maturity discounted at the market rate. Which in this case, is 14%

[tex]C \times \frac{1-(1+r)^{-time} }{rate} = PV\\[/tex]

C 120.00

time 10

rate 0.14

[tex]120 \times \frac{1-(1+0.14)^{-10} }{0.14} = PV\\[/tex]

PV $625.9339

[tex]\frac{Maturity}{(1 + rate)^{time} } = PV[/tex]  

Maturity   1,000.00

time   10.00

rate  0.14

[tex]\frac{1000}{(1 + 0.14)^{10} } = PV[/tex]  

PV   269.74

PV c $625.9339

PV m  $269.7438

Total $895.6777