Assume that a stock call option expires in one year; and has the strike price of $40. The underlying stock is currently selling for $41. The risk-free rate of interest is 8%.
a. Prove that buying a call is just like buying stocks with leverage.
b. How would you find how many stocks you should buy with how much of borrowed funds?
c. Compute the value of the call.
d. Calculate the risk-neutral probability