Present Value of an Annuity. Winners of the Georgia Lotto drawing are given the choice of receiving the winning amount divided equally over $21$ years or as a lump$-$sum cash option amount. The cash option amount is determined by discounting the annual winning payment at $9\%$ over $21$ years. This week the lottery is worth $$20$ million to a single winner. What would the cash option payout be$?$

The cash option payout would be $ $($Round to the nearest cent.$)($Use your financial calculator or you may use the Financial Tables in Appendix $C$ in contputing your answer, and round to the nearest cent.$)$