What is the price of a call option on stock, Microeconomics

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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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