Question

Calculate the current price of a $1,000 par value bond that has a coupon rate of 6 percent, pays coupon interest annually, has 27 years remaining to maturity, and has a current yield to maturity (discount rate) of 15 percent. (Round your answer to 2 decimal places and record without dollar sig

Answer 1

Answer: $413.81

Step-by-step explanation:

Price of a bond = Present value of coupon payments + Present value of face value

Coupon is a constant payment so is an annuity.

Coupon = 6% * 1,000 = $60

Price of bond = Present value of annuity + Present value of face value

= (Coupon * Present value interest factor of annuity (PVIFA), 27 periods, 15%) + (Face value / (1 + rate) ^ number of periods)

= (60 * 6.514) + (1,000 / (1 + 15%)²⁷

= $413.81