Suppose there are three assets in an economy with the following payoff matrix. The t = 3 payoff of asset 3 is uncertain, and has a value of m. The t = 0 prices of the assets are listed below. 5 = ( X = 3 2 7 2 5 10 6 m. 4 = (0) 10 8 , p = (1) Suppose m = 7, solve for the prices of unit payoff assets for t = 1, 2, 3. (3p) (2) Let's consider each unit asset (1 0 0), (010) and (001) (2a) Is there an arbitrage opportunity that creates (100)? If so, find the arbitrage portfolio that replicates (1 0 0). If not, state the reasoning. (2p) (2b) Is there an arbitrage opportunity that creates (010)? If so, find the arbitrage portfolio that replicates (0 1 0). If not, state the reasoning. (2p) (2c) Is there an arbitrage opportunity that creates (0 0 1)? If so, find the arbitrage portfolio that replicates (0 0 1). If not, state the reasoning. (2p) (3) Suppose m = 4, is there an arbitrage opportunity? Why or why not? (3p)