A woman wants to retire at the age of 75 and receive $4,000 a month until the age of 100 where it will be penniless. She starts at the age of 25 with 20,000 and a 4% annual rate.

How much will she need to have in the policy at the age of 75 to be able to receive 4,000 a month for 25 years of retirement?

How much money will she need to add each month to meet this requirement?