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) Suppose 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.