please answer these questions if possible

2. Suppose for a finance economy with T = 1 there are three states, each with probability 7 (s) = 1/3 for s = 1,2,3, and two securities with payoff matrix 20 Z= 02 1 1 3 and P2 The security prices are pi 2. (1) Do the AD securities lie in the asset span? (2) Does the risk-free claim lie in the asset span? (3) Find the pricing kernel. (4) What is the risk-free rate of return? 3. In a finance economy with T = 1 and S = 3 there are four securities, J = 4, with payoffs given by 2 0 1 0 0 The probabilities of states are (1) = + (2) = 3/8 and (3) = 1/4. Se curity prices are p = P2 = 23 = 1 and pa = 1/2. Suppose you have a project with payoff 2 = (4/3,2/3.0). (1) Compute the pricing kernel. (2) What is the value q (2) of the project with payoff z? Z = 2 1 0 0 2 -1 0 2. Suppose for a finance economy with T = 1 there are three states, each with probability 7 (s) = 1/3 for s = 1,2,3, and two securities with payoff matrix 20 Z= 02 1 1 3 and P2 The security prices are pi 2. (1) Do the AD securities lie in the asset span? (2) Does the risk-free claim lie in the asset span? (3) Find the pricing kernel. (4) What is the risk-free rate of return? 3. In a finance economy with T = 1 and S = 3 there are four securities, J = 4, with payoffs given by 2 0 1 0 0 The probabilities of states are (1) = + (2) = 3/8 and (3) = 1/4. Se curity prices are p = P2 = 23 = 1 and pa = 1/2. Suppose you have a project with payoff 2 = (4/3,2/3.0). (1) Compute the pricing kernel. (2) What is the value q (2) of the project with payoff z? Z = 2 1 0 0 2 -1 0