Compound Interest Calculator

Free compound interest calculator with monthly contributions, inflation adjustment, and tax-on-interest modelling for Cash ISAs and easy-access savings accounts.

£
%
year
£
%

Future value

£45,910

Effective annual rate: 4.59%
Time to double: 15.4 year
Total contributions
£34,000
Total interest earned
£11,910
Future value
£45,910

Growth over time

12345678910
Total contributions Total interest earned
yearDepositsInterestBalance
1£2,400£510£12,910
2£2,400£643£15,953
3£2,400£783£19,136
4£2,400£929£22,465
5£2,400£1,082£25,947
6£2,400£1,242£29,589
7£2,400£1,409£33,399
8£2,400£1,584£37,383
9£2,400£1,767£41,551
10£2,400£1,959£45,910

For estimation purposes only. Actual returns and tax treatment depend on your specific bank, ISA allowance usage, and personal tax position — consult a financial adviser.

How compound interest works

Compound interest is interest calculated not only on the money you originally put in (your principal), but also on the interest that has already been added to your balance. Each time interest is credited, it becomes part of your balance for the next calculation, so your growth accelerates the longer you leave the money in place.

Say you deposit £10,000 into a savings account paying 4.5% a year, compounded monthly, and add £200 every month. In the first month you earn a relatively small amount of interest. But by year five your balance already includes several years of compounded interest on top of your original deposit and contributions, and the pace of growth keeps increasing each year because you're now earning interest on a much larger base. This calculator's compounding frequency setting (annually, monthly, daily and so on) controls how often credited interest starts earning interest of its own — the more frequent the compounding, the further your effective annual rate outpaces the quoted nominal rate.

How interest is taxed in the UK

Most UK savers can earn a certain amount of interest each tax year before paying any Income Tax on it, thanks to the Personal Savings Allowance (PSA). According to HMRC's guidance on tax-free interest on savings (gov.uk/apply-tax-free-interest-on-savings), basic-rate (20%) taxpayers can earn up to £1,000 in savings interest a year tax-free, higher-rate (40%) taxpayers get a reduced £500 allowance, and additional-rate (45%) taxpayers get no PSA at all — every pound of interest they earn outside a tax-free wrapper is taxable. Interest above your allowance is taxed at your marginal Income Tax rate, and HMRC normally collects it by adjusting your PAYE tax code rather than requiring a separate payment.

This calculator's 'Taxable savings account' setting defaults to modelling the basic-rate £1,000 allowance followed by 20% tax on the remainder. If you're a higher- or additional-rate taxpayer, your real after-tax return will be lower than this default shows — use the account-type setting alongside your own tax band to get a closer estimate.

Cash ISAs vs taxable savings accounts

A Cash ISA removes the tax question entirely: every pound of interest earned inside an ISA is free of Income Tax, no matter how large your balance grows or which tax band you're in, provided you stay within the annual ISA subscription limit of £20,000 across all your ISA accounts in a tax year (this calculator does not enforce that limit as a cap). For most higher- and additional-rate taxpayers — and increasingly for basic-rate taxpayers holding larger balances — an easy-access Cash ISA or fixed-rate Cash ISA will out-perform an equivalent taxable account purely because none of the interest is taxed.

Outside an ISA, easy-access savings accounts and fixed-rate bonds are taxed identically under the rules above; fixed-rate bonds typically pay a slightly higher rate in exchange for locking your money away for a set term, usually one to five years.

Example: £10,000 plus £200 a month at 4.5% for 10 years

Starting with a £10,000 deposit, adding £200 a month, at a 4.5% annual rate compounded monthly, this calculator projects a future value of £45,910 after 10 years. Of that total, £34,000 comes from your own deposit and contributions (£10,000 initial plus £24,000 paid in over the decade) and £11,910 is interest the account has earned. Because interest compounds monthly rather than annually, the effective annual rate works out to 4.59% — slightly higher than the quoted 4.5% nominal rate. At this rate, a lump sum left untouched would take about 15.4 years to double in value.

Example: the same £10,000 with no monthly top-ups

If you deposited the same £10,000 at 4.5% compounded monthly but made no further contributions, it would grow to £15,670 after 10 years — £5,670 of that being interest. Comparing the two examples shows how much of the £45,910 result above comes from an ongoing savings habit rather than the initial deposit alone: regular contributions turn a £15,670 outcome into a £45,910 one over the same 10-year period and rate.

UK savings rates have been well above the near-zero levels seen through the 2010s and into 2021, following a run of Bank of England base rate rises — but as the base rate has started easing back, easy-access and fixed-rate offers have been drifting down too, so it's worth rechecking best-buy tables rather than assuming a rate stays available for long. Because ISA allowances don't carry over, unused annual ISA subscription room is lost at the end of each tax year (5 April).

How much interest can I earn before I pay tax in the UK?⌄
It depends on your Income Tax band. Basic-rate taxpayers have a £1,000 Personal Savings Allowance, higher-rate taxpayers have £500, and additional-rate taxpayers have none, per HMRC's guidance at gov.uk/apply-tax-free-interest-on-savings. Interest earned inside a Cash ISA doesn't use up this allowance at all because it's already tax-free.
Is this a Cash ISA calculator?⌄
Yes — set the account type to 'Cash ISA' and the calculator won't deduct any tax from your projected interest, matching how a real Cash ISA works. Switch to 'Taxable savings account' to see the effect of the Personal Savings Allowance and basic-rate tax instead.
What's a Lifetime ISA and does this calculator model its bonus?⌄
A Lifetime ISA (LISA) lets UK residents aged 18–39 save up to £4,000 a year towards a first home or retirement, and the government adds a 25% bonus on top of what you pay in. This calculator doesn't model the LISA bonus specifically — you could approximate it by adding the 25% bonus to your contribution amount manually, but remember LISA withdrawals for other purposes carry a penalty.
Are Premium Bonds the same as a savings account for compound interest purposes?⌄
No. Premium Bonds don't pay interest at all — instead your money is entered into a monthly prize draw, and the 'prize rate' advertised is an average across all bondholders, not a guaranteed return for any individual. This calculator models interest-bearing accounts like Cash ISAs and easy-access savings, not Premium Bonds.
What's the difference between nominal and real (inflation-adjusted) returns?⌄
The nominal value is the actual pound amount in your account. The real value adjusts that figure for inflation, showing what your balance would be worth in today's purchasing power. Ticking 'Adjust for inflation' and entering a rate (this calculator defaults to 3%) lets you compare the two.
How does compounding frequency change my final balance?⌄
More frequent compounding means interest starts earning interest sooner. At the same 4.5% nominal rate, monthly compounding produces a slightly higher effective annual rate (4.59% in our worked example) than annual compounding would, because interest credited each month immediately starts generating its own interest for the rest of that year.
How long will it take my savings to double?⌄
At a 4.5% annual rate compounded monthly, a lump sum takes roughly 15.4 years to double, as shown in the worked example above. As a rough shortcut, dividing 72 by your interest rate (the 'rule of 72') gives an approximate doubling time in years.
Do I need to declare interest from a taxable savings account myself?⌄
For most employees, no — banks and building societies report interest paid to HMRC directly, and HMRC usually adjusts your tax code to collect any tax owed above your Personal Savings Allowance automatically. If you complete a Self Assessment return, you'll need to declare taxable interest there yourself.
What counts as a good savings interest rate right now?⌄
Savings rates move with the Bank of England base rate, so 'good' shifts over time. This calculator's UK defaults (broadly 4–4.75% for easy-access and Cash ISA products) reflect a snapshot of a rate environment — check current best-buy tables before committing, since rates can change within weeks.
Can I model regular withdrawals as well as contributions?⌄
Yes — the calculator supports a withdrawal amount and frequency alongside your contributions, useful for modelling scenarios like taking a regular income from savings in retirement.