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Consider an Overlapping generations economy with constant population NV = 100 of young individuals are born each period. Individuals are endowed with y1 units of the consumption good when young and y2 when old, the initial old also starts with y2 . The utility function of one typical agent is: u(c1 , C2 ) = log(c1 ) + log(c2) 2 . There is no government in this economy. 1. Consider the case in which y1 = 2 and y2 = 5 A. State and solve the Planner's Problem (7 points) B. Suppose the initial old are endowed with a total of M= 100 units of flat money. State the problem of a young agent and Find the Stationary Competitive Equilibrium consumption. (7 points) 2. Consider the case in which y1 = 5 and y2 = 2 A. State and solve the Planner's Problem (1 point) B. Suppose the initial old are endowed with a total of M= 100 units of fiat money. State the problem of a young agent and Find the Stationary Competitive Equilibrium consumption. (10 points)