Johnnie is about to graduate and will turn 22 years old in a few months. He decides it is time to plan for the future with a retirement fund. He finds an investment plan paying 10% annually, compounded monthly. He wants to make monthly deposits starting the month after his birthday and ending 40 years later on his 62nd birthday. He wants to accumulate $2,000,000 at that time.

a. How much should her monthly deposits be to reach that goal?

b. After 20 years he looks at the situation and decides he is going to need to have accumulated $3,000,000 by the end instead. How much does he need to deposit each month in the remaining 20 years to reach this revised goal? (Note: this part is trickier than it seems.)

Use Future Worth calculations for this problem.