You just inherited some money, and a broker offers to sell you an annuity that pays $$19,245$ at the end of each year for $20$ years. You could carn $5\%$ on your money in other investments with equal risk. What is the most you should pay for the annuity?

O a$.$ $$190,522\mathrm{.}27$

$$ b$.$ $$269,906\mathrm{.}55$

$$ c$.$ $$239,835\mathrm{.}24$

$$ d$.$ $$222,275\mathrm{.}98$

$0$ e$.$ $$251,761\mathrm{.}5$