2. Consider a market with N risky assets and M states of nature. The one-period payoff matrix is given by MN matrix Z where column i of Z represents the payoff vector of asset i. The price vector of these N asset is an N-dimensional column vector p. Let q denote the M-dimensional column vector of Arrow-Debreu security prices. Assume that the law of one price holds. (a.) Find the condition of Z that makes the market complete. (b.) If the market is complete, determine the Arrow-Debreu security price vector q in terms of Z and p. (c.) Show that q in part (b.) must be unique