$4.-$The MEGA Million has a prize for this week in an estimated amount of $$500$ Million; as you know, you can opt for receive the prize in $25$ equal yearly payments during the next $25$ years or receive a Cash Value Option immediately $($Lump Sum$).$ MEGA Million assume a discount rate of $5\%$ in all their prizes calculations.

$1.-$If you opt for the yearly payments, how much your present value will be$?$

$2.$ If you took the Cash Value option how much money you will receive as of today. $($Lump Sum$)$