$1.$You have $$84,648$ to invest in two stocks and the risk$-$free security. Stock A has an expected return of $13\mathrm{.}36$ percent and Stock B has an expected return of $9\mathrm{.}09$ percent. You want to own $$26,072$ of Stock B$.$ The risk$-$free rate is $3\mathrm{.}39$ percent and the expected return on the market is $12\mathrm{.}66$ percent. If you want the portfolio to have an expected return equal to that of the market, how much should you invest $($in $$)$ in the risk$-$free security? Answer to two decimals. $($Hint: A negative answer is OK $-$ it means you borrowed $($rather than lent or invested$)$ at the risk free rate.$)$

$2.$You have $$291,791$ to invest in a stock portfolio $($this amount is your original wealth$).$ Your choices are Stock H$,$ with an expected return of $16\mathrm{.}1$ percent, and Stock L$,$ with an expected return of $11\mathrm{.}52$ percent. Legal constraints require you to invest at least $$35,602$ in stock L$.$ If your goal is to create a portfolio with an expected return of $18\mathrm{.}71$ percent on your original wealth, what is the minimum amount you must borrow $($and subsequently repay$)$ at the risk free rate of $4\mathrm{.}94$ percent to achieve your goal? Answer in $ to two decimals.