At 5 percent compounded monthly, how long will it take to double your money?
We use the formula:
A=P(1+r/1200)^12n
where
A=future value($2x)
P=present value($x say)
r=rate of interest
n=time period.
2x=x*(1+0.05/12)^12n
(2)=(1.004167)^12n
Taking log on both sides;
log 2=12n*log (1.004167)
n=1/12[log 2/log(1.004167)]
=13.89 years(Approx).
At 5 percent compounded monthly, how long will it take to double your money?
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