It is estimated that you deposit $$5,000$ per year into the $401$K over your $30-$year work span. For simplicity, assume that your annuity of $$5,000$ per year, starting with your $32$th birthday and continuing through your $61$st birthday. The deposit is done at the end of the year. However, you decide to make the annual withdrawal only after the end of $70$th birthday. If the bank interest rate is $8\%$ per year, what equal annual withdrawal you can do$,$ if you expect to live till the end of $89$th birthday. Draw a cash flow diagram.