Understanding Simple Interest
Simple interest is the most basic form of interest. It's computed only on the original principal — never on accumulated interest — which makes it predictable, easy to calculate, and very different in long-term outcome from compound interest. Whenever you see a flat percentage attached to a loan or fixed-income product, there's a good chance simple interest is at work.
The Simple Interest Formula
The formula is short and memorable:
I = P × r × t
- I — interest earned (or owed)
- P — principal (the starting amount)
- r — annual interest rate, as a decimal (so 6% becomes 0.06)
- t — time in years
The total amount you'll have at the end of the term is simply A = P + I = P(1 + rt).
A Worked Example
Suppose you lend a friend $5,000 for 3 years at a flat annual rate of 6%. Plugging into the formula:
I = 5000 × 0.06 × 3 = $900
Your friend pays you back $5,000 (the principal) plus $900 in interest, for a total of $5,900. The interest is the same in year 1, year 2, and year 3 — that's the defining feature of simple interest.
Where Simple Interest Shows Up
Despite the name, simple interest isn't always the more common choice. You'll typically encounter it in:
- Short-term personal loans — peer lending and informal arrangements often use simple interest because it's easy to compute and verify.
- Auto loans (in some jurisdictions) — many car loans technically use simple interest with a daily accrual, though the practical effect resembles a simplified amortization schedule.
- Treasury bills and short-dated bonds — most discount instruments quote yields using simple interest because the holding period is under a year.
- Some certificates of deposit — CDs that pay out interest periodically (rather than reinvesting) are effectively simple interest from the depositor's perspective.
Simple vs. Compound: Why It Matters
Over a single year there's no difference between simple and compound interest. The gap appears as time stretches out. At 8% per year on $10,000:
- After 5 years: simple = $14,000, compound = $14,693 (gap = $693)
- After 15 years: simple = $22,000, compound = $31,722 (gap = $9,722)
- After 30 years: simple = $34,000, compound = $100,627 (gap = $66,627)
This is why long-term savers always prefer compound interest, and why borrowers should be cautious about long-dated compound-interest debt. For a side-by-side, see our simple vs. compound interest deep-dive.
Tips for Using This Calculator
- Enter the rate as a percentage (e.g. 6 for 6%), not a decimal — the calculator does the conversion.
- For sub-year periods, use a fractional year. 6 months is 0.5, 90 days is roughly 0.247.
- The "Effective Annual" output shows what equivalent compound rate would have produced the same total — useful for comparing simple-interest products against compound-interest alternatives.