You want to start a savings program for a college fund for your daughter. She is currently two years old $($t$=0)$ and will start college when she is $18($t$=16).$ Assume you are currently $30$ years old.

$$ College education currently costs $$90,000$ per year at a private university like Northwestern, including room and board.

$$ You expect your daughter will attend college for four years.

$$ Assume the costs of a college education grow at a $10\%$ rate per year.

$$ You want to save the same amount $($in nominal terms, i$.$e$.,$ not adjusted for inflation$)$ each year starting next year, and your savings program will end when you daughter is $17,$ at t$=15.$

$$ Assume that the market interest rate is $2\%.$ You earn this interest on your savings.

$8)$Based on the above, what are the expected costs of college education at t$=16?$

$9)$Based on the above, what are the expected costs of college education at t$=17?$

$10)$Based on the above, what are the expected costs of college education at t$=18?$

$11)$Based on the above, what are the expected costs of college education at t$=19?$