Bank Runs Suppose that a bank has 100 depositors. Each depositor has $30,000 and is considering a savings decision. The bank has access to investment opportunities which pay a 20% rate of return (R2 = 1.2] if an individual leaves the funds in for two periods. Alternatively, if an individual is forced to liquidate early, she only gets her deposit back (R1 = 1]. Suppose that there is a 30% chance that the individual will have to withdraw her funds early (after one period) . The nancial institution offers the following return on the funds: (Impatient) If you leave your deposits in the bank for one period, you will earn a 5% rate of return (r1 = 1.05]. (Patient) If you leave your deposits in the bank for two periods, you will earn a return of T2. 1. The rate of return that the bank will offer to depositors who withdraw their funds after two periods will be r2 = 2. Suppose that 75 depositors have chosen to withdraw their funds from the bank early. The bank's total earnings will be 3. Assuming that a patient depositor would be able to obtain funds from the bank, how much would he or she receive