Answer:
The formula is
Price of the bond = [ $25 x ( 1 - ( 1 + 2.35% )^-30 )/ 2.35% ] + [ $1,000 / ( 1 + 2.35% )^30 ]
Explanation:
To calculate the price of the bond, use the following formula
Price of the bond = [ Coupon payment x ( 1 - ( 1 + Semiannual market rate )^-numbers od periods )/ Semiannual market rate ] + [ Face value / ( 1 + Semiannual market rate )^numbers of periods ]
Where
Coupon payment = $1,000 x 5% x 6/12 = $25
Semiannual market rate = 4.7% x 6/12 = 2.35%
Numbers of periods = 15 years x 12/6 = 30
Face value = $1,000
Placing values in the formula
Price of the bond = [ $25 x ( 1 - ( 1 + 2.35% )^-30 )/ 2.35% ] + [ $1,000 / ( 1 + 2.35% )^30 ]
