You calculate that the duration of the assets of your bank is $7\mathrm{.}3$ years and the duration of your liabilities is $4\mathrm{.}7$ years. You currently have $$80$ million in liabilities and $$5$ million in equity. The interest rate will increase from $5\%$ to $7\%.$

a$.$ How much equity would be reported on the new balance sheet? $($Report your answer in millions. For example, $4,355,000$ is $4\mathrm{.}36.)$

b$.$ If you hold the duration of your assets at $7\mathrm{.}3$ years, what must you change the duration of liabilities to in order to be immunized against interest rate risk?