Compound Interest, Seen Rather Than Explained
Compound interest is interest that earns interest: every credit joins the balance, and the next credit is computed on the larger number. The formula is short; the intuition is not — which is why this page exists. The table below shows the effect year by year, and the frequency selector quantifies the difference between crediting interest monthly versus annually at the same headline rate — a difference that is real, permanent, and free if your product offers it.
With the example inputs — S$10,000 growing with S$300 added monthly at the illustrative 3.00% rate, compounded monthly for 10 years — the final value is about S$55,416, of which interest contributed roughly S$9,416. Switch the compounding to annual and the same headline rate yields about S$140 less: the frequency effect, isolated. The Rule of 72 panel gives the doubling time — at 3%, roughly 24 years; at 6%, about 12 — which is the fastest sanity check in personal finance.
The same maths, both directions
Compounding is symmetrical: on savings it works for you, and on revolving card debt it works against you with the same mechanical indifference. A S$5,000 card balance at 20% paying minimums compounds into decades of payments — the Singapore Credit Card Calculator shows that side. The practical takeaway from seeing both: the rate you pay on debt is usually far higher than the rate you earn on deposits, so unwinding expensive debt is often the highest-return "investment" available — a rare free lunch in finance.
Singapore instruments where compounding applies
Deposit accounts compound on their crediting schedule; fixed deposits effectively compound at rollover when interest is reinvested; Singapore Savings Bonds step their return up by holding period, designed to reward time in the instrument rather than trading. On the investment side, dividends reinvested and distributions compounded follow the same mathematics with an uncertainty band around the rate — the Singapore Investment Growth Calculator handles that case with fees and an inflation view. Whatever the instrument, the rate is yours to enter here: the page never assumes a market figure.
Frequently Asked Questions
What rate should I enter?
Enter the annual rate your instrument pays or the return you want to test — deposits, bonds or investments all work. The 3.00% pre-filled is an illustrative example only — NOT a current Singapore market rate. Investment returns are not guaranteed; treat them as scenarios, not forecasts.
How much does compounding frequency matter?
Less than most articles claim, more than zero. Monthly versus annual compounding at the same rate adds a fraction of a percent a year in effective return — at the example inputs, about S$700 over ten years. It is free when offered, but the amount you contribute and the time you stay invested dominate.
What is the Rule of 72?
A mental shortcut: divide 72 by your annual rate and you get the approximate number of years for money to double. At 3% about 24 years, at 6% about 12, at 9% about 8. It is an approximation — exact doubling time follows from logarithms — but it is remarkably accurate across normal rates.
Does this work for debt too?
The maths is identical; the sign of the effect flips. This page models growth. For the against-you direction — revolving balances compounding at card rates — use the Singapore Credit Card Calculator.
Why add contributions at month-end?
Month-end additions are the conservative convention (an ordinary annuity): each contribution starts earning from the following month. Month-beginning contributions would earn slightly more; the difference is small and the convention is stated so the numbers are reproducible.
Related Singapore Calculators
- Singapore Savings Calculator — project a deposit plan with SDIC context
- Singapore Investment Growth Calculator — fees, frequency and inflation
- Singapore Credit Card Calculator — compounding working against you
- Singapore Loan Repayment Calculator — extra payments, quantified
Disclaimer: Finance Atlas is not a bank, licensed moneylender, finance company, card issuer or financial adviser in Singapore. This calculator provides educational estimates only and does not constitute financial advice, a credit offer or a recommendation of any product. Confirm exact figures, rates, fees and eligibility criteria with your lender, issuer or bank.