A state lottery commission pays the winner of the Million Dollar lottery 25 installments of $40,000/year. The commission makes the first payment of $40,000 immediately and the other n = 24 payments at the end of each of the next 24 years. Determine how much money the commission should have in the bank initially to guarantee the payments, assuming that the balance on deposit with the bank earns interest at the rate of 5%/year compounded yearly. Hint: Find the present value of the annuity.