A college has made you the following offer: You can pay tuition each year as scheduled or you can pay it all in one payment of $$104,797\mathrm{.}00$ when you graduate in $4$ years. Below, the tuition costs for the next four years are shown:

YEAR $($TIME$)0123$

TUITION $$22,151\mathrm{.}00$ $$24,497\mathrm{.}00$ $$25,687\mathrm{.}00$ $$26,469\mathrm{.}00$

Your mother, an astute banker, advises you to wait and pay at the end. You can earn $5\mathrm{.}00\%$ on your investments.

If you save your tuition money instead of paying the college, what is the future value of your account at the end of the fourth year?

HINT: Keep in mind that tuition is paid at the beginning of the school year, so the last payment is at the end of the third year $($ie the beginning of the $4$th year of school$)$