You plan to retire $33$ years from now. You expect that you will live $27$ years after retiring.

You want to have enough money upon reaching retirement age to withdraw $$180,000$ from

the account at the beginning of each year you expect to live, and yet still have $$2,500,000$ left

in the account at the time of your expected death $(60$ years from now$).$ You plan to

accumulate the retirement fund by making equal annual deposits at the end of each year for

the next $33$ years. You expect that you will be able to earn $12\%$ per year on your deposits.

However, you only expect to earn $6\%$ per year on your investment after you retire since you

will choose to place the money in less risky investments.

Required:

Calculate the equal annual deposits you must make each year to reach your retirement

goal.