You won $$1,000,000$ in the lottery! According to the fine print on the lottery ticket, you will receive your winnings over $10$ years at

$$100,000$ per year. However, you have the option to cash out today and receive your winnings in one lump sum amount. Of course,

if you choose this option,the lottery is going to give you the present value of the winnings. Assume you choose the lump sum

option, what would be your cash payout today? $($Assume the lottery officials use a discount rate of $12\%)$

$$1,000,000$

$$565,000$

$$322,000$

$$386,000$