Why compound interest matters
Compound interest means the interest you earn is added to your balance and starts earning interest itself. In the first few years the effect looks small. Then the curve bends upward: after a couple of decades, the interest you have accumulated can exceed everything you contributed.
This calculator brings together the three drivers of long-term savings: your starting balance, your monthly contributions and time. It also converts the final balance into today’s dollars, so you can see real purchasing power rather than a headline number.
The formula
The annual rate is first turned into an equivalent monthly rate based on the compounding frequency:
r = (1 + rate ÷ f)^(f ÷ 12) − 1, where f is the number of compounding periods per year.
The future balance then adds the growth of your initial deposit and the growth of every monthly contribution:
Future balance = P × (1 + r)^n + C × ((1 + r)^n − 1) ÷ r
where P is the initial deposit, C the monthly contribution (made at the end of each month) and n the number of months. The inflation-adjusted value divides the result by (1 + inflation)^years.
Worked example
You invest $10,000, add $300 a month for 20 years and earn 7% a year compounded monthly.
- Monthly rate: 7% ÷ 12 = 0.583% per month.
- Number of contributions: 20 × 12 = 240.
- The initial deposit grows to 10,000 × 1.00583²⁴⁰ ≈ $40,387.
- The contributions grow to 300 × (1.00583²⁴⁰ − 1) ÷ 0.00583 ≈ $156,278.
- Future balance: ≈ $196,665, for $82,000 contributed, so $114,665 of interest.
With 2.5% inflation, that balance has the purchasing power of about $120,019 today.
Time is the biggest lever
| Years | Contributed | Interest | Future balance | In today’s dollars |
|---|---|---|---|---|
| 5 | $28,000 | $7,654 | $35,654 | $31,513 |
| 10 | $46,000 | $26,022 | $72,022 | $56,264 |
| 20 | $82,000 | $114,665 | $196,665 | $120,019 |
| 30 | $118,000 | $329,156 | $447,156 | $213,178 |
| 40 | $154,000 | $796,558 | $950,558 | $354,017 |
Going from 30 to 40 years adds $36,000 of contributions but nearly half a million dollars of interest. Starting early beats contributing a lot later.
Choosing a realistic rate
Enter a return after fees, and ideally after tax. High-yield savings accounts and CDs are safe but pay modest rates. Bond funds pay a little more. A diversified stock index fund has historically returned more over long periods, but it can drop sharply in any given year, so do not use a high rate for a short-term goal. Tax-advantaged accounts such as a 401(k), IRA, Roth IRA or a UK ISA let the full return compound without annual tax drag.
Key takeaways
- Time matters more than the rate, and the rate matters more than the compounding frequency.
- Regular contributions, even small ones, feed the snowball every month.
- Plan long-term goals in today’s dollars so inflation does not catch you out.