you are 55 years of age, you want to get your pension. Here are the parameters: You intend to make a deposit today and at the beginning of each of the next 9 years (that is, on your 55th, 56th, ..., 64th birthdays). Starting from your 65th birthday until your 84th, you would like to withdraw $50,000 per year (no plans for after that). The interest rate is 12%.

How much should you deposit in each of the initial years in order to fully fund the withdrawals?