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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.
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x-3y+6z=1 2x-5y+10z=0 3x-8y+17z=1
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