Suppose that the current price of a non-dividend paying stock is S₀ = 20 and that you believe that the stock will go up to S_T = 30 or down to S_T = 15 with equal probability. There is also a European call on the stock with strike K = 20 priced at C₀ = 2: (a) You consider one of the two following investments: 1) All in the stock 2) All in the call Formally show which investment strategy has more risk. (Assume for simplicity that one call entitles you to purchase one stock). (b) Suppose you decide to invest $1 million. What are the profit/losses associated with these two strategies?