To complete your degree and then go through graduate school, you will need $45,000 at end of each of the next 6 years. Your Aunt offered to put you through school, and she will deposit in a bank paying 4.0% interest a sum of money that is sufficient to provide you with the needed 6 withdrawals of $45,000 each.

a) How large of a deposit must she make today?

b)How much will be in the account immediately after you make the 4th $45,000 withdrawal?

c) How much will be in the account immediately after you make all the withdrawals including the last one in 6 years?

d)Now, if you decide to drop out of school today and not make any of the withdrawal, but instead keep your aunts money, that she deposited today, in the account that is earning 4.0%, how much would you have at the end of 6 years?

e) Assuming you plan on making monthly withdrawals of $50000 for the next 7 years and that the account will earn APR of 5%. (Rework A)