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Compound interest explained — how savings and debt really grow

Compound interest is interest calculated on both the principal amount and the accumulated interest from previous periods. Albert Einstein allegedly called it the eighth wonder of the world.

How it works for savings

£1,000 at 5% annual interest: Year 1 = £1,050. Year 2 = £1,102.50 (interest on £1,050, not £1,000). Year 10 = £1,629. Year 30 = £4,322. The key is time — the earlier you save, the more powerfully compound interest works.

How it works for debt

The same mechanism works in reverse for debt. Credit card debt at 25% APR doubles in under 3 years if only minimum payments are made. This is why minimum payments on high-interest debt are so destructive — you pay mostly interest and barely reduce the principal.

The practical lesson

Start saving early, even small amounts. Pay off high-interest debt aggressively. Time is the variable that matters most. Track your savings progress with our free savings tracker.