Answer: $471,324.61
Explanation:
Price of a bond = Present value of coupon payments + Present value of face value at maturity
Coupon payments = 500,000 * 11% * 1/2 years = $27,500
Periodic yield = 12%/ 2 = 6% per semi annual period
Periods = 10 * 2 = 20 semi annual periods
Coupon payment is constant so it is an annuity.
Price of bond = Present value of annuity + Present value of face value at maturity
= (Annuity * Present value interest factor of Annuity, 6%, 20 years) + Face value / (1 + rate) ^ number of periods
= (27,500 * 11.4699) + 500,000 / (1 + 6%)²⁰
= $471,324.61
