$18.$ A bank has $$100$ million in earning assets with an average maturity of $2$ years earning a fixed rate equal to $9\%.$ The assets are funded by $$100$ million in liabilities that have an average cost of $8\mathrm{.}5\%$ and an average maturity of $1$ year. If interest rates are projected to rise $100$ basis points by next year, by how much will the bank$$s profits change in year $2?$

Year $1$ profits $=$

Year $2$ profits $=$

Change in profits $=$