Understanding Compound Interest
Compound interest is interest calculated on both the initial principal and the accumulated interest from previous periods. Albert Einstein reportedly called it the "eighth wonder of the world" — and the maths backs that up.
The formula is: FV = P(1 + r/n)^(nt) + PMT × [((1 + r/n)^(nt) − 1) / (r/n)] where P = principal, r = annual rate, n = compounding frequency, t = time in years, and PMT = regular payment.
Daily vs Annual Compounding
The more frequently interest compounds, the faster your money grows. A 7% rate compounded daily yields an Effective Annual Rate (EAR) of 7.25%, versus exactly 7% compounded annually. Over 20 years on €10,000, that difference compounds into thousands of euros.
The Rule of 72
Divide 72 by your annual interest rate to estimate how many years it takes to double your money. At 7%, your investment doubles roughly every 10.3 years.
Related Calculators
- Investment Return Calculator — ROI, CAGR and portfolio growth projections.
- SIP / Mutual Fund Calculator — Project SIP, lump sum and step-up returns. Future value, gains, total invested.
- Savings Goal — Monthly savings needed to hit your target.