Question

How many years will it take you to double your money if your rate of return...

How many years will it take you to double your money if your rate of return is 7% annually?

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Answer #1
FV = PV*(1+r)^n
Substituting values we have,
2 = 1*1.07^n
Taking log of both sides
log2 = n*log1.07
n = log2/log1.07 = 0.30103/0.02938 = 10.25
Answer: Number of years = 10.25
Alternative solution.
Applying rule 72, it will be 72/7 = 10.29
This is a simple approximation.
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