Consider a two-date economy where there are three states of the world at date 1. There is a risky asset and a risk-free asset. The pay-off of the risky stock at date 1 will be $3, $6, or $4, and it trades at the price of $3 today. The risk-free asset pays a net return of 5%. In addition, consider an European call option on the risky asset with a strike price of $4, which currently trades at $0.05. The probabilities of the three states are 0.3, 0.5, and 0.2, respectively. 1. Compute the Arrow-Debreu prices. Is there any arbitrage opportunity in the market? (4pts) 2. Are markets complete? (4pts) 3. Price an European put option on the risky stock with an exercise price of $4 by using the Arrow-Debreu prices. (4pts) 4. Calculate the stochastic discount factor and the risk-neutral probabilities, and price again the put option by using the risk-neutral probability. (4pts)