Compound Interest Calculator
See how reinvested returns snowball a starting balance and regular contributions into long-term wealth.
Future balance
$481,947
After 30 years
Total contributions
$100,000
Total interest earned
$381,947
Key insight
- Total invested
- $100,000
- Interest earned
- $381,947
- Balance from growth
- 79.25%
- Starting Balance
- Contributions
- Investment Growth
| Year | Contributions | Interest | Balance |
|---|---|---|---|
| 1 | $13,000 | $942 | $13,942 |
| 2 | $16,000 | $2,212 | $18,212 |
| 3 | $19,000 | $3,836 | $22,836 |
| 4 | $22,000 | $5,844 | $27,844 |
| 5 | $25,000 | $8,268 | $33,268 |
| 6 | $28,000 | $11,141 | $39,141 |
| 7 | $31,000 | $14,503 | $45,503 |
| 8 | $34,000 | $18,392 | $52,392 |
| 9 | $37,000 | $22,853 | $59,853 |
| 10 | $40,000 | $27,933 | $67,933 |
| 11 | $43,000 | $33,684 | $76,684 |
| 12 | $46,000 | $40,161 | $86,161 |
| 13 | $49,000 | $47,425 | $96,425 |
| 14 | $52,000 | $55,540 | $107,540 |
| 15 | $55,000 | $64,579 | $119,579 |
| 16 | $58,000 | $74,616 | $132,616 |
| 17 | $61,000 | $85,736 | $146,736 |
| 18 | $64,000 | $98,027 | $162,027 |
| 19 | $67,000 | $111,588 | $178,588 |
| 20 | $70,000 | $126,523 | $196,523 |
| 21 | $73,000 | $142,947 | $215,947 |
| 22 | $76,000 | $160,983 | $236,983 |
| 23 | $79,000 | $180,765 | $259,765 |
| 24 | $82,000 | $202,438 | $284,438 |
| 25 | $85,000 | $226,158 | $311,158 |
| 26 | $88,000 | $252,097 | $340,097 |
| 27 | $91,000 | $280,437 | $371,437 |
| 28 | $94,000 | $311,379 | $405,379 |
| 29 | $97,000 | $345,137 | $442,137 |
| 30 | $100,000 | $381,947 | $481,947 |
How it's calculated
Formula
FV = P(1 + r/12)^(12t) + PMT ยท [((1 + r/12)^(12t) โ 1) / (r/12)]How it works
The formula has two parts. The first term grows your starting balance by the monthly rate (r/12), compounded for every month (12t). The second term is the future value of your monthly contributions: each deposit compounds for the months remaining after it's made, and the bracket totals them up. Add the two and you get the ending balance.
Variables
- FV
- Future value (ending balance)
- P
- Starting balance (principal)
- PMT
- Monthly contribution
- r
- Annual interest rate (decimal form). Example: 8% = 0.08
- t
- Number of years
Worked example
Starting Balance $1,000 Annual Interest Rate 6% Years 10 Monthly Interest Rate 0.06 รท 12 = 0.005 Total Months 12 ร 10 = 120 Calculation FV = 1,000 ร (1 + 0.005)^120 โ $1,819 Result After 10 years, $1,000 grows to approximately $1,819 through monthly compounding.
Frequently asked questions
What compounding frequency is assumed?
Monthly. Interest is compounded once per month and each contribution is added at the end of the month, which mirrors how most brokerage and retirement accounts behave.
Is the return guaranteed?
No. The annual return is an assumption you choose, not a promise. Real market returns vary year to year and can be negative โ try a range of rates to see optimistic and conservative outcomes.
Does this include inflation?
No. Results are in nominal dollars. Because inflation erodes purchasing power over time, $1 in 30 years buys less than $1 today โ use the Inflation calculator to see the real value.
Does it account for taxes?
No. Growth is shown before taxes. In a taxable account, dividends and gains may be taxed along the way; tax-advantaged accounts like a 401(k) or IRA defer or avoid some of that. Your actual after-tax result may be lower.
Can I include regular contributions?
Yes. Set a monthly contribution and it's added every month and compounded for the remaining time. Contributions are usually the biggest driver of the final balance early on, with growth taking over later.
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