After hearing a knock at your front door, you are surprised to see the Prize Patrol from your state's online lottery agency. Upon opening your door, you learn you have won the lottery of $$12\mathrm{.}5$ million. You discover that you have three options: $(1)$ you can receive $$1\mathrm{.}25$ million per year for the next $10$ years, $(2)$ you can have $$10$ million today, or $(3)$ you can have $$4$ million today and receive $$1$ million for each of the next eight years. Your lawyer tells you that it is reasonable to expect to earn an annual return of $10\%$ on investments.

Required: What is the present value of the above $3$ options? $($FV of $$1,PV$ of $$1,$FVA of $$1,$ and PVA of $$1)$