You are a teaching assistant for the COMM $469$ course. Students brought and asked you to use the following information about a hypothetical government security dealer named M$.$P$.$ Jorgan. Market yields are in parenthesis, and amounts are in millions. Assets Liabilities and Equity Cash $$10$ Overnight repos $$1701-$month T$-$bills $(7\mathrm{.}05\%)75$ Subordinated debt $3-$month T$-$bills $(7\mathrm{.}25\%)757-$year fixed rate $(8\mathrm{.}55\%)1502-$year business loans $(7\mathrm{.}50\%)508-$year mortgage loans $(8\mathrm{.}96\%)1005-$year munis $($floating rate$)(8\mathrm{.}20\%$ reset every $6$ months$)25$ Equity $15$ Total assets $$335$ Total liabilities &equity $$335$ Please answer questions a$,$ b$,$ c$,$ and d based on the given information. $(8$ Points$)$ a$.$ What is the repricing gap if the planning period is $30$ days? $3$ months? $2$ years? Recall that cash is a non$-$interest$-$earning asset. $(3$ Points$)$ b$.$ What is the impact over the next $30$ days on net interest income if interest rates increase $50$ basis points? Decrease $75$ basis points? $(2$ Points$)$ c$.$ The following one$-$year runoffs are expected: $$10$ million for two$-$year business loans and $$20$ million for eight$-$year mortgage loans. What is the one$-$year repricing gap? $(1$ Point$)$ d$.$ If runoffs are considered, what is the effect on net interest income at year$-$end if interest rates increase $50$ basis points? Decrease $75$ basis points? $(2$ Points$)$