Question

Several years ago, Castles in the Sand Inc. issued bonds at face value of $1,000 at a yield to maturity of 6.2%. Now, with 6 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 15%. What is the price of the bond now

Answer 1

Answer:

The price of the bond is $659.64.

Explanation:

C = coupon payment = $62.00 (Par Value * Coupon Rate)

n = number of years = 6

i = market rate, or required yield = 15 = 0.15  = 0.15 /2  = 0.075

k = number of coupon payments in 1 year = 2

P = value at maturity, or par value = $1000

BOND PRICE= C/k [ 1 - ( 1 / ( 1 + i )^nk ) / i ] + [ P / ( 1 + i )^nk )]

BOND PRICE= 62/2 [ 1 - ( 1 / ( 1 + 0.075 )^6x2 ) / 0.075 ] + [ $1,000 / ( 1 + 0.075 )^6x2 )]

BOND PRICE= 31 [ 1 - ( 1 / ( 1.075 )^12 ) / 0.075 ] + [ $1,000 / ( 1.075 )^12 )]

BOND PRICE= 31 [ 1 - ( 1 / ( 1.075 )^12 ) / 0.075 ] + [ $1,000 / ( 1.075 )^12 )]

BOND PRICE= $239.79 + $419.85 = $659.64