2. You are the risk manager of the regional bank Security First Trust (retail bank). The balance sheet of this bank is as follows (in millions of euros): Duration Value (in millions of euros) (in years) Assets 300 10 200 3 100 0 600 Property Mortgage Car loans Cash and cash equivalents Total Assets Liabilities Shareolders' Equity Medium and long term debts Term deposits Demand deposits Total liabilities 50 ? 200 12 150 2 200 0 600 a. What is the duration of this bank's equity? b. If interest rates are currently 5%, but were to drop to 4%, what would be the change in the value of equity that this bank would experience? c. If due to a new government consumer support program, this bank experienced a wave of prepayments on auto loans, reducing the size of its auto loan portfolio from 200 million to 100 million and increasing cash on hand to 200 million. What would be the duration of this bank's equity as a result of these prepayments? a d. Why is the duration of the liabilities of an investment bank higher than that of a retail bank