You just won the $$2,000,000$ lottery. You can take a cash payout now of $$1,000,000$ or receive a $20$ year annuity of $$100,000$ per year at the end of each year. If you have a required return of $9\%$ which is the better option? $($Hint: You need to compare these two options at the same point in time, either in today's dollars or in future dollars $20$ years from now.$)$ Show TVM inputs for partial credit.