Calculate

The compound interest can be calculated with the following equation:
FV = P * (1 + (R / N))^{N * T}
FV = P + I
where:
FV = Future value
I = Interest amount
P = Principal initial amount
R = Nominal interest rate per year (as a decimal, not in percentage)
T = Time period in years
N = Number of compounding periods in one year
Other variations of the compound interest equation are used to calculate:
 The future value (FV) and interest amount (I)
FV = P * (1 + (R / N))^{N * T}
I = FV  P
 The principal amount (P)
P =

FV

or

P =

I

(1 + (R / N))^{N * T}

(1 + (R / N))^{N * T}  1

 The nominal interest rate per year (as a decimal, not in percentage)
R = N * ((FV / P)^{1 / (N * T)}  1)
or
R = N * ((I / P) + 1)^{1 / (N * T)}  1)
 The time period (T) in years
T =

log(FV / P)

or

T =

log((I / P) + 1)

N * log(1 + (R / N))

N * log(1 + (R / N))

 The compounding periods (N) in one year
N =

log(FV / P)

or

N =

log((I / P) + 1)

T * log(1 + R)

T * log(1 + R)

 The effective interest rate (Re) (as a decimal, not in percentage)
Re = (1 + (R / N))^{N}  1
Note:
The effective interest rate is the equivalent rate of compound interest earned over a period of one year
for a nominal interest rate per year which is compounded twice or more over the year.
