Several years ago, a man won $27,000,000 in the state lottery. To pay off the winner, the state planned to make an initial $1,000,000 payment immediately, followed by equal annual payments of $1,300,000 at the end of each year for the next 20 years. Just before receiving any money, the man offered to sell the winning ticket back to the state for a one-time immediate payment of $14,400,000. Use an annual worth analysis. If the state uses a 6%/year MARR, should it accept the man’s offer?
Show the annual worth of each option:
Lottery Payout: $
One-Time Payment: $