Answer:
Current price of bond is $1060.47
Explanation:
Coupon payment = 1000 x 8% = $80 yearly = 80/2 = $40 semiannually
Number of periods = n = 8 years x 2 periods per year = 16
Yield to maturity = 7% yearly = 7% / 2 = 3.5%
Price of bond is the present value of future cash flows, to calculate Price of the bond use following formula:
Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]
Price of the Bond =$80 x [ ( 1 - ( 1 + 3.5% )^-16 ) / 3.5% ] + [ $1,000 / ( 1 + 3.5% )^16 ]
Price of the Bond = $80 x [ ( 1 - ( 1.035 )^-16 ) / 0.035 ] + [ $1,000 / ( 1.035 )^16 ]
Price of the Bond = $483.76 + $576.71
Price of the Bond = $1,060.47
