Compound Interest - Interest Added to Principal

Addition of interest to Principal amount is called compounding. Effect of compounding depends upon frequency with which interest is compounded and interest rate which is applied. This online calculator has been developed to calculate compound interest.
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Compound Interest

  • Select what you want to calculate, enter the values in the respective rows and click the 'Find' button. Say if you want to calculate C.I., then enter the values for P,R and n.

  • I want to calculate

  • Interest Compounded

  • Principal or Sum [P] =

     
  • Rate % per Annum [R]

    %
  • Time Years [n]

     
  • Compound Interest [C.I.]

     
  • Total Amount

     
  •  

Formula:

Total Amount = Principal + CI (Compound Interest)

a. Formula for Interest Compounded Annually
         Total Amount = P(1+(R/100))n

b. Formula for Interest Compounded Half Yearly
         Total Amount = P(1+(R/200))2n

c. Formulae for Interest Compounded Quarterly
         Total Amount = P(1+(R/400))4n

d. Formulae for Interest Compounded Annually with fractional years (e.g 2.5 years)
         Total Amount = P(1+(R/100))a×(1+(bR/100))
         here if year is 2.5 then a =2 and b=0.5

e. With different interest rates for different years
Say x% for year 1, y% for year2, z% for year3
         Total Amount = P(1+(x/100))*(1+(y/100))*(1+(z/100))

where CI = Compound Interest, P = Principal or Sum of amount, R = % Rate per annum, n = Time Span in years