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This is my question. 4. There are three periods: 0, 1, 2 and 100 individuals who are (er-ante) identical, endowed with 1 unit in t

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This is my question.

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4. There are three periods: 0, 1, 2 and 100 individuals who are (er-ante) identical, endowed with 1 unit in t = D, and will need to consume in either i = 1 (type 1) or t = 2 (type 2). Assume that 1/4 of the individuals will be type 1 and 3/4 of them will be type 2. Types are revealed in t = 1. There are two assets: storage (each unit put in storage in t = U generates 1 unit available to consume in either t = 1 or t = 2) and illiquid investm-t {each unit invested in t = U will yield L = 0.8 if liquidated in t = 1 and R = 2 if liquidated in t = 2). All individuals have the following utility function of consumption: u(c)=1E. a) (1pt) Compute expected utilities from storage and investment, respectively. b) (2pt) Ebrplain in detail Why it could be feasible for a bank to o'er an asset (deposit) in t = 0, which pays r1 = 1.28 if liquidated in t = 1 and r2 = 1.81 if liquidated in t = 2. c) (2pt) With the bank in part b), let f be the fraction of individuals (depositors) who withdraw in t = 1. How many units of investment does the bank need to liquidate in order to meet the withdraw demand? What will be the (gross) return for those who do not withdraw in t = 1? Under what condition on f will it be optimal for each type 2 individual to withdraw in t = 1

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