A state lottery commission pays the winner of the "Million Dollar" lottery 20 installments of $50,000/year. The commission makes the first payment of $50,000 immediately and the other payments at the end of each of the next 19 yr. 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 9%/year compounded yearly. Please round the answer to the nearest cent.
(Hint: Find the present value of an annuity.)

A) $356,042.19
B) $497,505.74
C) $551,774.91
D) $587,083.64
E) $430,139.31

Question

A state lottery commission pays the winner of the "Million Dollar" lottery 20 installments of $50,000/year. The commission makes the first payment of $50,000 immediately and the other  payments at the end of each of the next 19 yr. 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 9%/year compounded yearly. Please round the answer to the nearest cent. ​
(Hint: Find the present value of an annuity.)
​
A) $356,042.19 
B) $497,505.74 
C) $551,774.91 
D) $587,083.64 
E) $430,139.31

Quizplus · Accepted Answer

The Answer of A state lottery commission pays the winner of the "Million Dollar" lottery 20 installments of $50,000/year. The commission makes the first payment of $50,000 immediately and the other  payments at the end of each of the next 19 yr. 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 9%/year compounded yearly. Please round the answer to the nearest cent. ​
(Hint: Find the present value of an annuity.)
​
A) $356,042.19 
B) $497,505.74 
C) $551,774.91 
D) $587,083.64 
E) $430,139.31

A State Lottery Commission Pays the Winner of the "Million