Julie won a lottery. She will have a choice of receiving an annuity of $$30,000$ at the end of each year for the next $30$ years, or a lump sum of $$375,000$ today. If she can earn a return of $6\mathrm{.}5$ percent on her alternative investments, what should she do$?($Round to the nearest hundred dollars.$)$

Pick answer below

none of these

Take the annuity because its value exceeds the lump$-$sum by $$16,760$

Take the annuity because its value is less than $$375,000$

Take the lump sum because its value is equal to the annuity$$s value.

Take the lump sum because its value exceeds the annuity$$s value by $$16,760$