Below is a modified balance sheet of the 1st Bank of Yuma. millions of dollars Assets Reserves Loans Short-term loans to businesses Real Estate Loans Federal Funds lent Securities Other Liabilities + Capital $52 Checkable Deposits $169 Savings deposits $126 $28 $195 Borrowing $2 $12 $18 $27 2. (6 points) Refer to the values calculated for 1st Bank of Yuma in the previous problem. a. (3 pts)Suppose the average duration of assets for the 1st Bank of Yuma is 5 and average duration of liabilities is 1. Suppose interest rates increase by one percentage point. What is the new value for capital? b. (3 pts)Suppose the gap between rate sensitive assets and rate sensitive liabilities is $30 million. If interest rates increase by one percentage point, what is the change in total profits? Below is a modified balance sheet of the 1st Bank of Yuma. millions of dollars Assets Reserves Loans Short-term loans to businesses Real Estate Loans Federal Funds lent Securities Other Liabilities + Capital $52 Checkable Deposits $169 Savings deposits $126 $28 $195 Borrowing $2 $12 $18 $27 2. (6 points) Refer to the values calculated for 1st Bank of Yuma in the previous problem. a. (3 pts)Suppose the average duration of assets for the 1st Bank of Yuma is 5 and average duration of liabilities is 1. Suppose interest rates increase by one percentage point. What is the new value for capital? b. (3 pts)Suppose the gap between rate sensitive assets and rate sensitive liabilities is $30 million. If interest rates increase by one percentage point, what is the change in total profits