Compound Interest Calculator
Calculate how your investment grows with regular contributions. Visualise year-by-year growth and identify when your returns overtake your contributions.
Year-by-year growth
Year-by-year table
| Year | Opening balance | Contributions | Interest (year) | Closing balance |
|---|
What is compound interest?
Compound interest is the financial mechanism by which interest earned in each period is added to the principal, and that combined amount then earns further interest in the next period. This cumulative effect produces exponential growth that accelerates the longer you stay invested.
Albert Einstein is often quoted as calling it "the eighth wonder of the world". Whether or not he said it, the idea is accurate: those who understand compound interest earn it; those who don't, pay it. Index funds, pension plans and long-term savings products all rely on this principle.
The Rule of 72: when does your money double?
The Rule of 72 is a quick mental shortcut: divide 72 by the annual interest rate and you get the approximate number of years for your investment to double.
| Interest rate | Years to double |
|---|---|
| 4% | 18 years |
| 6% | 12 years |
| 8% | 9 years |
| 10% | 7.2 years |
| 12% | 6 years |
How this calculator works
The calculator simulates your investment period by period, applying the chosen interest rate at the selected compounding frequency and adding regular contributions at the end of each period (ordinary annuity). The logic:
- Annual compounding: balance grows once per year: B × (1 + r)
- Monthly compounding: balance grows twelve times per year: B × (1 + r/12)^12
- Daily compounding: 365 compoundings per year — effectively continuous growth
- Contributions: added at the end of each payment period (ordinary annuity)
The final result is the sum of the compounded initial principal plus the future value of all contributions made throughout the investment horizon.
Worked example: £/€10,000 + £/€200/month for 20 years at 7%
Starting with £/€10,000, contributing £/€200 per month and earning 7% per year with monthly compounding over 20 years:
- Total contributed: €10,000 + (€200 × 240 months) = €58,000
- Estimated final balance: ~€111,700
- Interest earned: ~€53,700 (almost as much as the total contributed)
- Money multiplied almost ×1.9 thanks to compound interest
Extending the same scenario to 30 years pushes the final balance above €240,000, demonstrating that time is the single most powerful factor in long-term investing.
Historical market returns as a reference
When choosing an interest rate in the calculator, historical data provides useful context:
- Global equities (MSCI World): ~10% nominal / ~7% real (past decades)
- S&P 500 (USA): ~10–11% nominal since 1926
- European government bonds: 2–4% depending on maturity and credit quality
- Savings accounts / deposits (2026): 2–3.5% in the best cases
- UK property: 4–6% including capital appreciation and rental yield
For conservative and realistic planning, a 5–7% annual return is a reasonable assumption for a diversified global index-fund portfolio. Past performance does not guarantee future results.
Last updated: June 2026. This calculator uses the standard compound interest formula with ordinary (end-of-period) annuities. For personalised financial advice, consult an independent financial adviser.