Marie just turned 28 and are now seriously planning for her retirement. Marie wishes to retire two years earlier than the mandatory retirement age of 65. She hopes to be able to make end-of-month withdrawals from her retirement account of $25,000 per month for a 30-year period after that.

Marie's plan is to fund her retirement by making monthly deposits between now and when she retires. The initial monthly deposit will be made at the end of the coming month.

How much monthly deposit Marie should make if she can earn 12 % per annum in her retirement account? (Ignore taxes.)

Show your computations.