I need help with $12,13,14.$ Please check $8,9,10,11$

Saving for College

The following questions are based on this scenario:

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.

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College education currently costs $$90,000$ per year at a private university like

Northwestern, including room and board.

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You expect your daughter will attend college for four years.

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

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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$=15.$

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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$=16?413,548$

$9)$Based on the above, what are the expected costs of college education at t$=17?454,902$

$10)$Based on the above, what are the expected costs of college education at t$=18?500,392$

$11)$Based on the above, what are the expected costs of college education at t$=19?550,432$

$12)$How much cash must you have in the bank when your daughter is $17$ to fund her four

years of college; i$.$e$.,$ what is the present value at t$=15$ of the costs calculated in

questions $8-11?$

$13)$How much cash must you have in the bank today to fund her four years of college; i$.$e$.,$

what is the present value at t$=0$ of the costs calculated in questions $8-11?$

$14)$How much must you save each year $($the same nominal amount each year$),$ starting next

year, such that you will have enough saved for your daughter's education?