You want to buy a stock that is currently selling for $52. You forecast that in one year, the stocks price will be either $102 or $16, with equal probabilities. There is a one-year call option on the stock available with an exercise price of $80. You are able to borrow at a rate of 6.50%. You would like to hedge your stock position using the call option.

Required:

a. What will be the calls value if the stock price is $102 in one year? What will be the calls value if the stock price is $16 in one year? (Round your answers to the nearest dollar.)

b. What is the hedge ratio you should use? (Round your answer to 4 decimal places.)

c. Assume that you can purchase fractional shares of stock. How many shares of stock would you buy? (Round your answer to 4 decimal places.)