f.finance
made clear
← Learning library

Your money · Free explainer

Small contributions. A longer runway.

See what comes from your own saving and what comes from growth.

Compounding means growth can earn further growth. It is a mechanism, not a promise about future returns. Time, contributions and the assumed rate all matter.

Separate the two sources of growth

Start with £1,000 and assume a constant 5% annual return with no withdrawals. After one year the balance is £1,050. After two years it is £1,102.50: the second year's £52.50 includes growth on the first year's growth.

Adding £100 at the end of every month brings another £1,200 of your own money into the account each year. Do not describe those contributions as investment gains. Our calculator separates money paid in from modelled growth.

What a smooth chart leaves out

Investment returns can vary and losses are possible. Fees, taxes, withdrawals and changing contributions affect the result. A constant-rate illustration is a way to understand the maths, not a forecast.

Try explaining it

At a zero return, what would £1,000 plus £100 a month become after two years?

Reveal the worked answer

£3,400: £1,000 initially plus 24 contributions of £100. All of the increase comes from contributions.

Separate effort from returns

The ending balance combines your deposits and modelled growth. A large balance does not necessarily mean a high return: increasing contributions can matter more than changing the return assumption. Constant growth is a teaching device, not a forecast.

Check your understanding

Start with £1,000, make no contributions and assume 5% growth for two years. What is the ending balance?

See the worked answer

£1,102.50: £1,000 × 1.05 × 1.05. The second year earns £52.50 because the first year’s growth also participates.

Your next step

Run the savings tool with 0% growth first, then 4%. Change only the monthly contribution next. Describe which change you control and which you merely assume.

Source & scope

Investor.gov: Compound Interest. Reviewed 14 October 2026. Worked examples and exercises are original illustrations; no current market prices are used.

Explore saving over time ↗