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Compound Interest Calculator

Grow a starting balance with compound interest and optional monthly contributions.

%

Future value

37,405.09

Total contributed
22,000.00
Interest earned
15,405.09

Growth by year

YearContributedInterestBalance
111,200.00762.1611,962.16
212,400.001,666.1614,066.16
313,600.002,722.2716,322.27
414,800.003,941.4618,741.46
516,000.005,335.5421,335.54
617,200.006,917.1524,117.15
718,400.008,699.8427,099.84
819,600.0010,698.1530,298.15
920,800.0012,927.6633,727.66
1022,000.0015,405.0937,405.09

Show the work

  1. Monthly growth rate from the compounding

    i = (1 + r ÷ n) to the power of n ÷ 12 − 1

    (1 + 0.07 ÷ 12) to the power of 12 ÷ 12 − 1 = 0.005833333333

  2. Number of months

    m = years × 12

    10 × 12 = 120

  3. Growth of the starting amount

    P × (1 + i) to the power of m

    10,000.00 × (1 + 0.005833333333) to the power of 120 = 20,096.6138

  4. Growth of the monthly contributions

    C × ((1 + i) to the power of m − 1) ÷ i

    100.00 × ((1 + 0.005833333333) to the power of 120 − 1) ÷ 0.005833333333 = 17,308.4807

  5. Future value

    FV = starting amount grown + contributions grown

    20,096.6138 + 17,308.4807 = 37,405.09

Estimates for general information only — not financial advice.

How it works

FV = P(1 + i)^m + C((1 + i)^m − 1) ÷ i, with monthly rate i = (1 + r/n)^(n/12) − 1 and m = 12 × years

Questions

How does the compound interest calculator work?
FV = P(1 + i)^m + C((1 + i)^m − 1) ÷ i, with monthly rate i = (1 + r/n)^(n/12) − 1 and m = 12 × years.
What do I need to enter?
Starting amount, Annual interest rate, Years, Compounding, Monthly contribution. Optional fields can be left blank.

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