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Joey is planning for his son\'s college education to begin eight years from toda

ID: 2811211 • Letter: J

Question

Joey is planning for his son's college education to begin eight years from today. He estimates the yearly tuition, books, and living expenses to be $15,000 per year for a four-year degree. How much must Joey deposit today, at an interest rate of 7 percent, for his son to be able to withdraw $15,000 per year for four years of college? Assume first withdrawal on the first day of College (beginning of the year) and the tuition and other expenses remain constant.

$4,952.16

$5,298.81

$34,920.55

$60,000.00

$31,640.77

A)

$4,952.16

B)

$5,298.81

C)

$34,920.55

D)

$60,000.00

E)

$31,640.77

Explanation / Answer

Option E

Using financial calculator:
Compute the PV of withdrawals 8 years later:
Set mode to BGN
I/Y=7%
N=4
PMT=15000
FV=0
CPT PV=54364.740666246

Compute deposits required:
I/Y=7%
N=4
PMT=0
FV=54364.740666246
CPT PV=31640.77

Alternatively
Using excel:
=PV(7%,8,0,PV(7%,4,15000,0,1))
=31640.77

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