Your plan is to have $$45,000$ in your account, $11$ years from today. You can invest in an account that pays $6\mathrm{.}7$ perceit, compounded semi$-$annually. How much do you have to invest today to attain your target in $11$ years?

a$.$ $$91,837\mathrm{.}7272$

b$.$ $$22,668\mathrm{.}1079$

c$.$ $$21,796\mathrm{.}2576$

$].$ $$24,193\mathrm{.}8459$

e$.$ None of the above