Problem 15-10 Valuing Callable Bonds

Bandon Manufacturing intends to issue callable, perpetual bonds with annual coupon payments and a par value of $1,000. The bonds are callable at $1,220. One-year interest rates are 10 percent. There is a 60 percent probability that long-term interest rates one year from today will be 12 percent, and a 40 percent probability that they will be 9 percent. Assume that if interest rates fall the bonds will be called. What coupon rate should the bonds have in order to sell at par value? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)