Compound Interest Calculator
See how your savings, ISA, pension, or investment pot could grow over time.
After 20 years, your estimated balance could be
£43,987.27
You contributed £25,000.00 yourself. The remaining £18,987.27 comes from estimated compound growth. This shows how regular contributions and time can work together to build long-term value.
Balance over time
Year-by-year breakdown
| Year | Contributions | Growth | Balance |
|---|---|---|---|
| 1 | £2,200.00 | £84.16 | £2,284.16 |
| 2 | £3,400.00 | £234.03 | £3,634.03 |
| 3 | £4,600.00 | £452.95 | £5,052.95 |
| 4 | £5,800.00 | £744.47 | £6,544.47 |
| 5 | £7,000.00 | £1,112.30 | £8,112.30 |
Formula
Compound interest is calculated as A = P(1 + r/n)nt,
where P is the initial amount, r is the annual rate as a decimal,
n is the number of compounding periods per year, and t is the number of years.
With regular monthly contributions, the calculation runs iteratively period-by-period to add each contribution and apply interest.
Worked example
Starting with £1,000.00, adding £100.00 per month at 5% annual return for 20 years with monthly compounding produces an estimated final balance of £43,987.27 (£25,000.00 contributed plus £18,987.27 in compound growth).
When this calculator helps
Compound interest is the reason that starting early matters more than almost anything else in saving. Use this calculator when you are weighing up a Cash ISA, a Stocks and Shares ISA, a workplace or SIPP pension, or a regular savings account, and you want to see roughly where a pot could land after a number of years. It is built for planning conversations, not for promising a precise figure.
It is most useful for the questions people actually ask: how much will my monthly £100 be worth in twenty years, is it worth bumping my pension contribution by another percent, or how much head start does paying in earlier really give me. Because it lets you set an initial amount, a monthly contribution and a rate, you can model regular saving the way most UK accounts genuinely work.
How to read your result
The final balance splits into two parts: what you put in (your initial deposit plus every monthly contribution) and the compound growth on top. The growth figure is the one to watch — early on it is small, but the longer the money compounds, the more the curve steepens. That is the snowball effect doing its work.
Treat the number as a planning estimate in today's terms, not an account statement. It assumes a steady rate every year, which real investments never deliver — markets rise and fall. A 5% assumption is a reasonable long-run middle for a diversified Stocks and Shares ISA once a poor and a good decade average out; cash savings will usually sit well below that.
A worked example
Say you open a Stocks and Shares ISA with £1,000, add £100 a month, and assume 5% a year for 20 years. You would pay in £25,000 of your own money, and compounding could add roughly £16,000 on top — a pot of around £41,000. Push the rate to 7% and the growth more than doubles the contributions over that span, which shows how sensitive the outcome is to the rate you choose.
Common mistakes to avoid
The two errors that throw people off most are over-optimistic rates and forgetting about charges and inflation.
- Using a headline rate without subtracting platform and fund fees — even 1% a year compounds against you significantly over decades.
- Confusing the AER on a savings account with the long-run return on investments; they are not the same thing.
- Ignoring inflation — £41,000 in 20 years buys less than £41,000 does today, so think in real terms.
- Assuming the rate is guaranteed; investment values fall as well as rise.
UK savings and tax notes
In the UK your ISA allowance lets you shelter a set amount each tax year (currently £20,000 across all ISA types) so that interest, dividends and gains inside the wrapper are free of UK tax. Outside an ISA, the Personal Savings Allowance covers some interest, and dividend or capital gains tax may apply depending on your income and the product. This calculator shows pre-tax figures, so an ISA's tax-free status is a real advantage on top of the numbers here.
Pension contributions also attract tax relief at your marginal rate, which effectively boosts what lands in the pot — something this calculator does not model. For anything tied to your specific tax position, check HMRC guidance or speak to a regulated financial adviser.
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Frequently asked questions
What is compound interest?▾
Compound interest is interest earned on both your initial deposit and on interest already added to the balance. Over long periods, it can grow your savings far faster than simple interest.
How is compound interest calculated?▾
The standard formula is A = P(1 + r/n)^(nt), where P is your initial amount, r is the annual rate, n is the number of times interest compounds per year, and t is the number of years. When you add regular monthly contributions, the calculation is done iteratively, period by period.
How often should interest compound?▾
More frequent compounding gives slightly higher returns. Monthly is common for savings accounts and investments. Daily compounding produces marginally more, annual produces marginally less. The differences are small for typical rates.
Does this calculator account for UK tax (ISA, dividend tax, capital gains)?▾
No. Results are pre-tax estimates. ISAs are tax-free up to the annual allowance, but other accounts may be subject to dividend tax, capital gains tax, or income tax depending on the type and your circumstances. Speak to a financial adviser for tax-specific guidance.
Can I include monthly contributions?▾
Yes. Enter your regular monthly contribution and the calculator will iteratively add it to your balance each month before applying interest. This reflects how most savings and investment accounts work in practice.
Are investment returns guaranteed?▾
No. Investment returns are not guaranteed and may go down as well as up. The rates you choose in this calculator are assumptions only — actual returns will vary depending on market conditions, fees, and the specific products you hold.