12. How much will it cost to purchase a two-level retirement annuity that will pay $3000 at the end of each month for the first 15 years, and $2000 per month for the next 10 years? Assume that the payments represent a rate of return to the annuitant (the person receiving the payments) of 6% compounded monthly. 13. The Atlantic Lottery Corporation runs the "Set for Life" lottery. The winner of the Grand Prize can choose either $1 million per year for 25 years or a single cash payment of $17 million. Which option should be chosen if the payments are made at the beginning of each year and, on low-risk investments, money can earn 5% compounded annually