4. Consider Cortez Community Bank, a small bank in central Florida, with the balance sheet shown below. Liabilities reserves = $50 deposits = $1100 mortgage loans = $1000 student loans = $250 Net worth ==? You are a risk management consultant and the bank wants to know if it could survive if the economy starts to struggle and many people start to default on the mortgage loans. If people default on a mortgage the bank gets the house which was used as collateral. Assume that they can then sell the house and recoup about 50% of the losses on the loan. You can calculate the net worth of the bank if fraction p of the mortgage loans default for different values of p. What is the largest p where the bank remains solvent