Your dreams of becoming rich have just come true. You have won the State of Tranquilitys Lottery. The State offers you two payment plans for the $5,000,000 advertised jackpot. You can take annual payments of $250,000 for the next twenty years or $2,867,480 today. At what investment rate will the annuity stream of $250,000 be the same as the lump sum payment of $2,867,480? (hint: solve for I/YR)