Consider a financial instituion which currently has 20 AUD in default free long term as sets (including reserves with the central bank) assets and 80 AUD in cash. The financial institution has two investment opportunities. Both of them require an investment of 80 AUD Repayment 60 70 90 100 20 60 100 140 Probability 20% 20% 40% 20% Investment 20% 20% 30% The financial institution has 50 AUD in insured deposits on the balance sheet and 40 AUD in uninsured deposits. The equity value is 10 AUD a) Calculate the expected repayment for both investment options b) Which investment decision maximizes the shareholder value? c) Which investment decision maximizes the value of the uninsured deposits? d) For each of the two investment options, what is the fair deposit insurance premium (premium- expected payment of the insurance)