Problem $4-45$ Comparing Cash Flow Streams

You have your choice of two investment accounts. Investment A is a $14-$year annuity that features end$-$of$-$month $$2,000$ payments and has an APR of $8\mathrm{.}5$ percent compounded monthly. Investment B is a lump$-$sum investment with an interest rate of $8$ percent compounded continuously, also good for $14$ years. How much money would you need to invest in Investment B today for it to be worth as much as Investment A $14$ years from now? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$