You have exactly 35 years until retirement. You will be making annual deposits into your retirement account that is expected to earn 9.8% per year. The first deposit equal to $25,000 will be made one year from today, the last deposit will be exactly 35 years from now (the day you retire). Every year, the amount of your next deposit will grow by 5% compared to the one from the previous year. How much money will you have in your retirement account on the day you retire?

 

  On the day of your retirement (exactly 35 years from today), you plan to transfer the value of your retirement account (computed in part (A)) into a safe account that combines both stocks and bonds and has an expected return of either 5.0% or 9.0% per year (only one of those numbers makes sense, and you have to pick which one). You will make the first annual withdrawal ($C) from that account exactly one year after you retire, and you will be making identical ($C) subsequent annual withdrawals for a total of 30 years (so the last withdrawal will be 30 years after you retire). After 30 years, you expect to have no money in the account. 

What will be the value of your identical annual withdrawals, $C?