> Math help?

Math help?

Posted at: 2014-12-05 
when working with compound interest, does doubling the time of an investment double the amount of interest earned?

No, it does with simple interest but not with compound interest because the interest is also earning interest.

Compound interest = FV - PV

and

FV = PV x (1 + i)^n

For example if PV = 100 and n = 1 and i=10%

Compound interest = 100 x 1.1^1 - 100 =10

If time is doubled n=2

Compound interest = 100 x 1.1^2 -100 = 21

NO.

when working with compound interest, does doubling the time of an investment double the amount of interest earned?