You have your choice of two investment accounts. Investment A is a $12-$year annuity that features end$-$of$-$month $$1,000$ payments and has an interest rate of $6\mathrm{.}5$ percent compounded monthly. Investment B is a continuously compounded lump$-$sum investment with an interest rate of $6$ percent also good for $12$ years. How much money would you need to invest in B today for it to be worth as much as Investment A $12$ years from now?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$