Posted by Nicole on Sunday, November 15, 2009 at 12:56pm.
Require that X*(1.025)^16 = 15,000.
X is the initial amount that you will need to invest.
The 1.025 is the factor by which balance increases by every 3 months. It does this 16 times in 4 years.
You can use logs to get the answer. I will use base 10 logs. (The base does not matter, as long as you are consistent and use the same log base on both sides of the equation)
log 15000/X = 16 log 1.025 = 0.1715818
15,000/X = 1.4845056
X = $10,104.37
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