Answer:
The price of the bond will be $879
Explanation:
Price of the bond is the present value of all cash flows of the bond. Price of the bond is calculated by following formula:
According to given data
Coupon payment = C = $1,000 x 6.2 = $62 annually = $31 semiannually
Number of periods = n = 2 x 8 years = 16 periods
Current Yield = r = 8.3% / 2 = 4.15% semiannually
Price of the Bond = $31 x [ ( 1 - ( 1 + 4.15% )^-16 ) / 4.15% ] + [ $1,000 / ( 1 + 4.15% )^16 ]
Price of the Bond = $31 x [ ( 1 - ( 1 + 0.0415)^-16 ) / 0.0415 ] + [ $1,000 / ( 1 + 0.0415 )^16 ]
Price of the Bond = $31 x [ ( 1 - ( 1.0415)^-16 ) / 0.0415 ] + [ $1,000 / ( 1.0415 )^16 ]
Price of the Bond = $521.74 + $357.26 = $879
