Pete Morton is planning to go to graduate school in a program of study that will take three years. Pete wants to have $$11,000$ available each year for various school and living expenses. Use Exhibit $1-$D$.$

If he earns $5$ percent on his money, how much must he deposit at the start of his studies to be able to withdraw $$11,000$ a year for three years? $($Round PVA factor to $3$ decimal places and final answer to the nearest whole dollar.$)$