Banana Computer has a perpetual, convertible 7% annual coupon bond outstanding. The bond has a face value of $1,000 and has a conversion price of $40. The required return on an otherwise identical nonconvertible bond is 8%. Banana will never pay dividends and its current stock price is $20.
a. What is the straight value of the convertible bond?
b. What is its conversion value?
c. If Banana's stock price were to grow at 10% per year forever, how long would it take for the bond's conversion value to exceed the bond price?
d. When should the bondholder convert? Why?