Kim is a first$-$year student in college. On December $31,2001,$ Kim's parents opened a savings account for her with an $8\%$ interest rate and put an equal amount of money in it every year until $($and including$)$ December $31,2023($first deposit is $12/31/2001$ and last deposit is $12/31/2023).$ Kim's parents do not make any more contributions.

Kim deposits $$1,500$ per year into the same account while in college $($December $31,2024$ until and including December $31,2027).$ Immediately after making that last deposit of $$1,500$ on December $31,2027,$ Kim has a bank balance is $$150,000.$

Draw a cash flow diagram from the bank's point of view assuming Kim withdraws the entire $$150,000$ balance on December $31,2027($immediately after making the last $$1,500$ deposit$).$

What was the magnitude of the equal, annual deposits made by Kim's parents?