Answer:
$857
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 is $1,000
Coupon payment = C = $1,000 x 5.5% = $55 annually = $27.5 semiannually
Number of periods = n = (April 18, 2036 - April 18, 2020) years x 2 = 16 x 2 period = 32 periods
Market Rate = 7% annually = 3.5% 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 + 3.5% )^-32 ) / 3.5% ] + [ $1,000 / ( 1 + 3.5% )^32 ]
Price of the Bond = $524.29 + $332.59 = $856.98 = $857
