After hearing a knock at your front door, you are surprised to see the Prize Patrol from a large, well$-$known magazine subscription company. It has arrived with the good news that you are the big winner, having won $$37$ million. You have three options:

A$.$Receive $$1\mathrm{.}85$ million per year for the next $20$ years.

B$.$Have $$12\mathrm{.}25$ million today.

C$.$Have $$2\mathrm{.}25$ million today and receive $$1,550,000$ for each of the next $20$ years.

Your financial adviser tells you that it is reasonable to expect to earn $14$ percent on investments.

Required:

$1.$ Calculate the present value of each option. $($Future Value of $$1,$Present Value of $$1,$Future Value Annuity of $$1,$ Present Value Annuity of $$1.)$

$2.$Determine which option you prefer.