Flat-rate maths
Simple interest, when it actually applies
Simple interest is the most basic interest calculation there is. Multiply principal by rate by time, that’s the interest. No reinvestment, no compounding, no curve — just a flat line over the period.
The formula
I = P × r × t
P = principal, r = annual rate (as decimal), t = years. Final balance = P + I. R20,000 at 9% for 2 years earns R3,600 in interest, so the balance ends at R23,600. The calculator above does this with whatever numbers you put in.
When it actually shows up in SA
Despite being the textbook intro to interest, simple interest is fairly rare in real South African products. Where it does crop up:
- Some short-term fixed deposits quote a simple interest rate, especially for terms under 12 months. The bank tells you the maturity amount and that’s what you get.
- Promissory notes and bills of exchange — commercial paper used between businesses — often use simple interest.
- Quick informal lending between friends or family members tends to default to a simple-interest agreement because it’s easier to explain than compounding.
- Short-term penalty interest — overdue invoices and late-payment clauses in contracts often use simple interest for the days-overdue portion.
Most consumer products (savings accounts, credit cards, mortgages, business loans) use compounding. If you’re not sure which your product uses, check the agreement.
Simple vs compound — how big is the gap?
Over short horizons, almost nothing. Over long ones, a lot. R10,000 at 8%:
- 1 year: simple R800, compound (monthly) ~R830. Gap: ~R30.
- 5 years: simple R4,000, compound ~R4,898. Gap: ~R900.
- 10 years: simple R8,000, compound ~R12,196. Gap: ~R4,200.
- 30 years: simple R24,000, compound ~R98,975. Gap: ~R75,000.
For anything you’re planning to leave for years, compounding crushes simple interest. For a 3-month deposit, the difference is rounding-error stuff. Match the maths to the horizon.
For days, not years
Some agreements quote interest on a daily basis — common for trade credit, late-payment clauses, and short-term instruments. The formula adapts: I = P × r × (days / 365). R10,000 at 8% for 90 days = 10000 × 0.08 × (90/365) = R197. Some agreements use a 360-day year for simplicity — check yours; the small difference can matter on large amounts.
In the calculator above, just enter the days as a fraction of a year. 90 days ≈ 0.247.