please help me on this question, thanks a lot.

Question 3 (30 points) Consider an overlapping-generations economy with two-periodlived agents. In each genera- tion, there are three different types of agents: workers, entrepreneurs, and bankers. Workers differ in their endowments y? when young, but all have zero endowments when old. There are two types of workers with the following endowments: 0 Type A: y = 10 0 Type B: yg =90 There are N3 = 900 workers of type A in every period and N}; = 100 workers of type B. Preferences are such that all workers want to consume half of their endowments when young. Workers can save either by holding currency or by depositing their funds with a private bank. When workers withdraw their deposits from the bank, they have to pay a fixed cost (25 = 3 units of the consumption good. Competitive banks use the funds obtained through deposits to give out loans to entrepreneurs, who pay a gross interest rate of a: = 1.2 on the loans, where m is equal to the real rate of return to capital. The at money stock amounts to M = 1,000 units of at money and is constant (2 = 1). (a) (5 points) For each type of worker, calculate the average rate of return on deposits and determine whether they save by holding currency or deposits. (b) (5 points) Determine the total amount of real currency balances Qt and the total amount of goods deposited with private banks H; in this economy. Calculate the deposit-to- currency ratio and the money multiplier. (c) (5 points) Set up the money market clearing and use it to derive and calculate the price level p,. (d) (10 points) Show graphically how a drop in the xed transaction cost 4) = 3 to (ff = 2 affects the economy. What happens to the threshold level 3", above which people are choosing deposits to save? (e) (5 points) How will your answers to parts (a)-(c) above change if the x cost (,5) falls to 95' = 2