Consider a perpetual call option with S = $ 37, K = $ 41, r = 4 %, delta(the annualized dividend rate) is 10 %, sigma(the annualized standard deviation of the continously compounded stock returns) is 48 %.


a) What is the price of the perpetual call option $?



b) At what stock price should the perpetual call option be exercised $?

You can earn partial credit on this problem.