Compound Interest Calculator

Choose a calculation:
Principal (P): $
 
Interest Rate per Period (i):
%
Number of Periods (n):
 
   
Final Value: $ 0.00
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This Calculation Equation:
A = P(1 + i)n
Where:
A = Final Investment Value
P = Principal Invested
i = Interest Rate per Period n
n = Number of Periods

Compound Interest Calculations:

The basic calculation for this calculator finds A, the final Investment Value, using the basic compound interest formula: A = P(1 + i)n where P is the Principal amount of money to be invested at an Interest Rate i% per period for n Number of Time Periods.

Be sure to enter the interest rate per period. For example, if the stated annual rate is 5% and you are compounding monthly then the rate per period is 5% / 12 = 0.417% per period. (the effective interest rate is 5.12%)

Compound Interest Formulas:

  • Find Final Investment Value given Principal, Interest and Number of Periods
    • A = P(1 + i)n
  • Find Interest given Principal, Final Investment Value and Number of Periods
    • i = (A / P)1/n - 1
  • Find Principal given Final Investment Value, Interest and Number of Periods
    • P = A / (1 + i)n

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See also Mathworld on Compound Interest