Key takeaway
A basis point (bp) is 1/100 of a percentage point = 1/10,000. So 1% = 100 bps, and 0.25% = 25 bps. Finance uses bps to avoid the '0.25 percent' vs '0.25 percentage point' ambiguity on small rate moves. Convert by ×100 (percent → bps) or ÷100 (bps → percent). A bp is absolute like a pp, just 100× smaller.
Scope and assumptions
General finance convention. A bp is an absolute unit, not a relative ratio. This site is informational and not official.
Short answer: A basis point (bp) is 1/100 of a percentage point = 1/10,000. So 1% = 100 bps, and 0.25% = 25 bps. Finance uses bps to avoid the "0.25 percent" vs "0.25 percentage point" ambiguity on small rate moves. Convert by ×100 (percent → bps) or ÷100 (bps → percent). A bp is absolute like a pp, just 100× smaller. Basis points are the finer subdivision of the percentage point; for the pp unit itself see What Is a Percentage Point.
Quick navigation
- Percent vs pp → percent-vs-percentage-point
- What a pp is → what-is-a-percentage-point
- The calculator → Percentage Calculator
1. Definition
1 basis point (bp) = 1/100 of a percentage point = 1/10,000
So the ladder is: 1% = 100 bps; 1 pp = 100 bps.
2. Conversion
| Percent | Basis points |
|---|---|
| 1% | 100 bps |
| 0.25% | 25 bps |
| 0.01% | 1 bp |
| 2.5% | 250 bps |
| 5% | 500 bps |
- Percent → bps: ×100
- bps → percent: ÷100
3. Why finance uses bps
A rate moves 5.00% → 5.25%.
- In bps: +25 bps (clear, absolute).
- In percent: "+0.25%" — ambiguous, because "0.25%" might be read as a relative 0.25% rise of the 5% rate (which would be 5.0125%), not the absolute step.
bps remove that ambiguity.
4. Worked examples
| Move | bps | Percent step |
|---|---|---|
| 5.00% → 5.25% | +25 bps | +0.25% |
| 3.50% → 3.00% | −50 bps | −0.50% |
| 1.00% → 1.10% | +10 bps | +0.10% |
5. bp vs percent vs pp
| Unit | Size | Type |
|---|---|---|
| Percent (%) | 1/100 | relative ratio |
| Percentage point (pp) | 1/100 of scale | absolute |
| Basis point (bp) | 1/10,000 | absolute (fine) |
6. Common mistakes
- Confusing bps with a percent move — +25 bps is +0.25% absolute, not a +25% rise.
- Wrong conversion direction — ×100 goes percent→bps, not the reverse.
- Saying 'basis point percent' — a bp is not a percent; it is 1/100 of a pp.
- Dropping the unit — always write bps or %.
- Treating bp as relative — like pp, it is absolute.
7. Quick bps reference
| bps | Percent | Example move |
|---|---|---|
| 1 bp | 0.01% | tiny rate tweak |
| 25 bps | 0.25% | typical central-bank step |
| 50 bps | 0.50% | noticeable move |
| 100 bps | 1.00% | one full point |
| 250 bps | 2.50% | large repricing |
Keep this table handy: a "25 bp hike" is simply 0.25 pp, exact and unambiguous. Finance prefers bps precisely because the finer unit stops "0.25 percent" from being read as a relative rise rather than a flat step on the scale.
8. The finer unit that prevents ambiguity
Basis points exist because "0.25 percent" is genuinely ambiguous in finance — it could mean a flat 0.25 pp step or a 0.25% relative move, which are different things. Quoting 25 bps removes the doubt: it is exactly 0.25 pp, a flat step. This is why rate decisions, bond spreads, and loan margins are quoted in bps rather than percent. The finer unit costs nothing and eliminates the one phrasing that most often misleads readers of financial news, so the move is stated once and understood the same way by everyone who sees it.
FAQ
Q: What is a basis point? 1/100 of a percentage point = 1/10,000. So 1% = 100 bps.
Q: How do I convert percent to bps? Multiply by 100. 0.25% = 25 bps; 1% = 100 bps.
Q: How do I convert bps to percent? Divide by 100. 50 bps = 0.50%; 250 bps = 2.5%.
Q: Why use basis points? They remove ambiguity on small rate moves — 'up 25 bps' is exact, unlike 'up 0.25 percent' which could mean a relative rise.
Q: Is a bp relative or absolute? Absolute, like a pp, just 100× smaller. 5.00% → 5.25% is +25 bps.
Q: What is 100 bps in percent? 1%.
Q: Can bps be negative? Yes — a rate cut of 25 bps moves 5.25% → 5.00%.
Q: How do bps relate to percentage points? 1 pp = 100 bps. Both are absolute; bps are the finer unit.
Sources: Khan Academy percentage basics; Corporate Finance Institute — Basis Points.
Disclaimer: General finance convention. A bp is an absolute unit, not a relative ratio. This site is informational and not official.
Sources and references
- Khan Academy percentage basicshttps://www.khanacademy.org/math/pre-algebra/x31947de81e3f6453:percentages
- Corporate Finance Institute — Basis Pointshttps://corporatefinanceinstitute.com/resources/capital-markets/basis-point-bps/