Let Consider an economy with three states. The following set of stocks is traded: x1=(2,2,0) x2=(1,0,3) x3=(0,2,4). The t=0 prices of these stocks are given as follows (p1, p2, p3)=(1, 1, 1). (a) Is there an arbitrage?
(b) Assume an investment firm sells options. What is the price of a call option on stock 1 with exercise price E=1? What is the price of a put option on stock 2 with exercise price E=2.