XYZ Corporation plans to issue perpetual bonds (par value = $1,000) with a coupon rate of 8% paid annually.

The current market interest rates on these bonds are 7%.

In one year, the interest rate on the bonds will be either 10% or 4% with equal probability.

a. If the bonds are noncallable, what is the price of the bonds today?

b. If the bonds are callable one year from now at $1,100, what is the price of the bonds today?

c. What is the compensation for bearing the call risk of XYZ's callable bonds?