Answer:
The current market price of the bond is $959.09
Step-by-step explanation:
Price of the bond is the present value of all cash flows of the bond. These cash flows include the coupon payment and the maturity payment of the bond. Both of these cash flows discounted and added to calculate the value of the bond.
According to given data
Face value of the bond = F = $1,000 ( Assumed )
Coupon payment = C = $1,000 x 5.5% x 6/12 = $27.5
Number of periods = n = ( 10 years - 3 years ) x 12/6 = 14 period
Yield to maturity = 6.23% annually x 6/12 = 3.115% semiannually
Price of the bond is calculated by following formula:
Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]
Price of the Bond = $27.5 x [ ( 1 - ( 1 + 3.115% )^-14 ) / 3.115% ] + [ $1,000 / ( 1 + 3.115% )^14 ]
Price of the Bond = $308.22 + $650.87
Price of the Bond = $959.09