Compound Interest


Interest which is calculated on not only the beginning amount of principal, but the on interest earned as well. For example, compound interest earned over five years on principal of $100 would appear as such:

  • Year 1:   $100 + 5% = (100 * 1.05) = Balance of $105
  • Year 2:   $105 + 5% = (105 * 1.05) = Balance of $110.25
  • Year 3:   $110.25 + 5% = (110.25 * 1.05) = Balance of $115.76
  • Year 4:   $115.76 + 5% = (115.76 * 1.05) = Balance of $121.55
  • Year 5:   $121.55 + 5% = (121.55 * 1.05) = Balance of $127.63


    The formula to compute compound interest is:
    Pn = P0(1 + I)n
    The variables are as follows:
    Pn =  Value at end of "n" time periods
    P0 =  Beginning Value
    I =  Interest
    n =  Number of years





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