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
| Year | Contributed | Interest | Balance |
|---|---|---|---|
| 1 | 11,200.00 | 762.16 | 11,962.16 |
| 2 | 12,400.00 | 1,666.16 | 14,066.16 |
| 3 | 13,600.00 | 2,722.27 | 16,322.27 |
| 4 | 14,800.00 | 3,941.46 | 18,741.46 |
| 5 | 16,000.00 | 5,335.54 | 21,335.54 |
| 6 | 17,200.00 | 6,917.15 | 24,117.15 |
| 7 | 18,400.00 | 8,699.84 | 27,099.84 |
| 8 | 19,600.00 | 10,698.15 | 30,298.15 |
| 9 | 20,800.00 | 12,927.66 | 33,727.66 |
| 10 | 22,000.00 | 15,405.09 | 37,405.09 |
Show the work
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
Number of months
m = years × 12
10 × 12 = 120
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
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
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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