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The OLG model provides a nice framework to rationalize the existence of money. In monetary theory, there are other popular models of money. For example, the \"Money in Utility\" {MIUJ model assumes that people value real money balances. Now suppose that in addition to consumption, a young individual also values real money balances in our model so that an individual's preference becomes 1m in u (cl-,1: c,t+1) = C1,: + c2.t+1 + 9 (\"Emir- - As usual, vim: represents the amount of real money balances held by the young individual who is born in period t. v: represents the value of money in period t and m; is the amount of nominal money balances held by each young individual who is born in period t. The parameter 6' measures how much an individual likes money balances. (e) Find an individual's budget constraints when young and when old. Combine them to form the individual's lifetime budget constraint. (1 mark} (f) Solve for the optimal consumption allocation {321617} chosen by the individual in a stationary monetary equilibrium. (1 mark) [g] How do your answers in part (f) change in comparison with your answers in part (b)? How does 9 a'ect the choice of (Ci, 6;)? Explain. {1 mark)