Question

Pharoah, Inc., has a bond issue maturing in seven years that is paying a coupon rate of 11.0 percent (semiannual payments). Management wants to retire a portion of the issue by buying the securities in the open market. If it can refinance at 9.5 percent, how much will Pharoah pay to buy back its current outstanding bonds

Answer 1

Pharaoh will have to pay $1,084.47 for every outstanding bond that it retires.

Step-by-step explanation:

if the market rate is 9.5%, then the price of outstanding bonds is:

PV of face value = $1,000 / (1 + 4.75%)¹⁴ = $522.21

PV of coupon payments = $55 x 10.22283 (PV annuity factor, 4.5%, 14 periods) = $562.26

market price = $1,084.47