Answer:
529.64 million or $529,639,600 was received from the sale of bonds.
Explanation:
Money Raised from the sale is based on the current value of the bond. 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 ]
As per given data
Face Value = $2,000
Coupon payment = $2,000 x 6.02% = $120.4 /2 = $60.2 semiannually
Number of period = n = 25 years x 2 period per year = 50 period
Yield to maturity = 6.46% annually = 6.46% / 2 = 3.23% semiannually
Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]
Price of the Bond = $60.2 x [ ( 1 - ( 1 + 3.23% )^-50 ) / 3.23% ] + [ 2,000 / ( 1 + 3.23% )^50 ]
Price of the Bond = $1,483.51 + $408.06 = $1,891.57
Cash received = Number of bonds x Price per bond = 280,000 x $1,891.57 = $529,639,600
