Problem 1.  You observe that a stock is currently selling for $100.  Somehow you know that the two possible values for the stock at time T are $80 and $130.  You also observe that (1+r)T = 1.1.   You don’t know the probabilities of the two states of the world occurring.  Using the two-state approach, determine the value of a T period call option with an exercise price of $110. 
Problem 2. Using the put-call parity theorem, determine the value of a T period put of the stock described in problem 1 with an exercise price of $110.