Several years ago, Castles in the Sand Inc. issued bonds at face value of $1,000 at a yield to maturity of 8%. Now, with 7 years left until the maturity of the bonds, the company has run into hard times and the yield to maturity on the bonds has increased to 12%. What is the price of the bond now

Answer:

$814.10

Explanation:

Calculation to determine what the price of the bond now

Using this formula

Bond price = PV of coupon payments + PV of face value

Bond price= C×((1 / r) – {1 / [r(1 + r)t]}) + FV / (1 + r)t

Let plug in the formula

Bond price= [(.080 ×$1,000) / 2] ×[[1 / (.12 / 2)] – (1 / {(.12 / 2)[1 + (.12 / 2)](7 ×2)})] + $1,000 / [1 + (.12 / 2)](7 ×2)

Bond price= $814.10

Therefore the price of the bond now is $814.10