$(1)$ How much money $($in dollars$)$ will a FI expect to make during the coming quarter on its $3-$month BA futures transaction if $($a$)$ it uses BA futures $($face value $=$ $$1$ million per contract$)$ to fully hedge a $$12$ million positive interest rate gap and $($b$)3-$month BA rates fall to $5\mathrm{.}00\%$ by the end of the coming quarter. You should factor in a $2$ basis point dealer spread on your BA$-$futures closing$-$out transaction. Currently the FI can buy BA futures at $94\mathrm{.}76$ and sell BA futures at $94\mathrm{.}72.$