Question

In: Finance

The current cost of graduate school tuition is $19,771 per year. The cost of tuition is...

The current cost of graduate school tuition is $19,771 per year. The cost of tuition is rising at 7% per year. You plan to attend graduate school for 3 years starting 2 years from now. How much do you have to invest today if your savings account earns 4.74% APR compounded annually to just fund your tuition?

Solutions

Expert Solution

Assumption: Tuition Fees will be payable at the BEGINNING of each year

Year Tuition Fees Discounting Factor
[1/{1.0474^year}]
PV as on Today
[Total Tuition Fees* Discounting Factor]
2 19771 *(1.07^2)= 22635.8179 0.911538174 20633.41211
3 22635.8179 *(1.07)= 24220.32515 0.870286589 21078.62417
4 24220.32515 *(1.07)= 25915.74791 0.830901842 21533.44268
Sum of PVs   = 63245.47895

Therefore, Amount to be Invested Today = $63245.48


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