Answer:
Price of the bond is $1,757
Explanation:
Coupon payment = 2000 x 6.4% = $128 annually
Number of periods = n = 20 years
Yield to maturity = 7.6% annually
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 = $128 x [ ( 1 - ( 1 + 7.6% )^-20 ) / 7.6% ] + [ 2,000 / ( 1 + 7.6% )^20 ]
Price of the Bond = $128 x [ ( 1 - ( 1.076 )^-20 ) / 0.076 ] + [ 2,000 / ( 1.076 )^20 ]
Price of the Bond = $1295.03 + $462.15
Price of the Bond = $1,757.18
