Say there are three states of the world and three assets with returns summarized as follows: Asset 1 2 3 1 1 -1 State 1 20% 10% 25% State 2 0% 10% 5% State 3 -20% -5% -30% a. If there is no arbitrage, what must the risk-free rate be? b. Assume there is a risk-free asset with a rate higher than the value you calculated for part a). How would you take advantage of this arbitrage?