7. (Barucci & Fontana) Consider an economy with two possible states of the world, with associated probabilities of occurrence (1/2, 1/2), and a representative agent with logarithmic utility function. In the economy, there are two traded assets: the first asset with price p = 1, delivers a risk free payoff of 1 in correspondence of both states of the world, while the second asset with price p2 delivers the random payoff (1/2, 2). Determine the equilibrium price p of the second asset when the economy's aggregate endowment is given by (e,e2). 7. (Barucci & Fontana) Consider an economy with two possible states of the world, with associated probabilities of occurrence (1/2, 1/2), and a representative agent with logarithmic utility function. In the economy, there are two traded assets: the first asset with price p = 1, delivers a risk free payoff of 1 in correspondence of both states of the world, while the second asset with price p2 delivers the random payoff (1/2, 2). Determine the equilibrium price p of the second asset when the economy's aggregate endowment is given by (e,e2)