You are the lucky winner of the Ohio Lottery! Congratulations. The Lottery tells

you that you have won a $$240,000,000$ prize that will be paid in annual

installments of $$12,000,000$ for $20$ years. If interest rates on alternative investments

in the market are $6\%,$ what is the actual value $($PV$)$ of your prize? Round to the

nearest $1,000,$ and show your work.