5(a)(b)(c). Very urgent!! Thank you so much for your explanations!

5. (10 points) Consider a two period market with 1 state at time t = 0 and m = 4 states at time t = 1. Suppose this market has d = 3 securities. The payoff of the three securities in each of the four states is as follows: S1 = S2 = OHOO S3 = HOOD - H H The prices of the three assets at time t = 0 are given by P1 = 4, p2 = 1, P3 = 2 (a) (2 points) Is this market complete? If yes, give an argument proving this. If not, can you construct a payoff that is not attainable? (b) (4 points) Describe the set of all state price deflators consistent with the available information. Is there a unique state price deflator for this market? (c) (4 points) Compute arbitrage-free bounds for the time t = 0 price of the security with the payoff vector S = 1 2 1 0