SOLUTION:  If 4 years of college are expected to cost $150,000 18 years from now, how much must be deposited now into an account that will average 8% annually in order to save the $150,000?

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Question 761805:  If 4 years of college are expected to cost $150,000 18 years from now, how much must be deposited now into an account that will average 8% annually in order to save the $150,000? By how much would your answer change if you expected 11% annually? 
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = amount deposited now
Let = the current savings
After 1st year,

---------------
After 2nd year,



----------------
After 3rd year,



----------------------
So, this is the general rule:

where = the number of years since initial deposit
given:






$37,537.35 needs to be deposited now
---------------------------------
Rate = 11%



$22,923.33 needs to be deposited now



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