If I have $500 in my account after 4 years investing at 2.5% per year, how much money did I start with?

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05-06-2015
Mathematics

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If I have $500 in my account after 4 years investing at 2.5% per year, how much money did I start with?

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alexisp alexisp · Answer 1 · 2015-06-05T11:40:26-04:00

alexisp alexisp

05-06-2015

using the same form as above:
a*1.025^t = 500.
a = 500/(1.025^t), where t=6 and a is the starting amount.
Thus:
a = 500/(1.025^6) = 431.148433 = 431.15$

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