$6.$ Sally has won the grand prize in a lottery and must choose between the following three options: $($hint: find the PV of each option

$1.$

$1.$ Receive a lump sum payment of $$10,000,000.$

$2.$ Receive annual end of the year payments of $$2,000,000$ for the next $8$ years.

$3.$ Receive annual end of the year payments of $$1,500,000$ for the next $20$ years