BPS Calculator
Basis points are finance’s way of talking about small changes without tripping over decimals. One basis point is one hundredth of a percentage point, or 0.01%. When the Fed raises rates by 25 basis points, when a bond yield spreads 30 basis points over Treasuries, or when an ETF charges 15 basis points a year, everyone in the room knows exactly what is meant. Convert those figures wrong and a quarter point becomes two and a half.
This calculator converts both ways, basis points to percentage and percentage to basis points, computes the monetary value of a basis-point move on any amount, and measures the difference between two rates in basis points with the direction stated. Step-by-step working is shown under every result.
How to use the BPS calculator
BPS to percent. Enter the basis points. Optionally enter an amount, a loan balance, a portfolio, a salary, and the tool shows the percentage, the decimal, and the monetary value of that move. Try 75 bps on 100,000: you get 0.75%, 0.0075, and 750.00.
Percent to BPS. Enter a percentage like 2.75 and get 275 bps plus the decimal equivalent.
Rate difference. Enter two rates, for example 5.00% and 5.25%, and get the signed difference, +25 bps here, with the direction stated as an increase or decrease. Rate cuts come out negative automatically.
Formulas
- BPS to percentage: Percentage = BPS ÷ 100
- Percentage to BPS: BPS = Percentage × 100
- BPS to decimal: Decimal = BPS ÷ 10,000
- Monetary value: Amount × (BPS ÷ 10,000)
- Rate difference: Difference (bps) = (Rate 2 − Rate 1) × 100
One basis point equals 0.01%, so 100 bps is 1%, and 1,000 bps is 10%.
Worked example
Question: A lender quotes a fee of 75 basis points on a 100,000 loan. What is the fee as a percentage and in money?
Solution. Percentage = 75 ÷ 100 = 0.75%. Decimal = 75 ÷ 10,000 = 0.0075. Monetary value = 100,000 × 0.0075 = 750.00. The calculator above returns all three.
Rate question: the federal funds rate moves from 5.00% to 5.25%. Difference = (5.25 − 5.00) × 100 = +25 bps, an increase. Reverse it to a cut from 6.50% to 6.25% and you get −25 bps, a decrease.
Frequently asked questions
What is a basis point?
A basis point is one hundredth of a percentage point: 1 bps = 0.01% = 0.0001 in decimal. Finance uses it because saying "25 basis points" is unambiguous, while "0.25%" is easily misread as 2.5% in conversation.
How many basis points are in one percent?
100. So 50 bps is 0.50%, 250 bps is 2.50%, and a full percentage point move, like 5.00% to 6.00%, is 100 bps.
What is the difference between basis points and percentage points?
A move from 5.00% to 5.25% is 25 basis points and also 0.25 percentage points. The terms measure the same change; basis points are simply the finer-grained unit, and the difference tab shows both.
Can a basis-point difference be negative?
Yes. A rate cut produces a negative difference, which the tool signs automatically: 6.50% down to 6.25% is −25 bps.
Where are basis points actually used?
Central bank rate moves, mortgage pricing, bond yield spreads, fund expense ratios, and performance fees. Anywhere a tenth of a percent matters, bps keep everyone precise.
How do I convert 12 bps on a salary?
Multiply the salary by 12 ÷ 10,000 (0.0012). On a 80,000 salary that is 96. The BPS-to-percent tab does this if you enter 12 and the salary as the amount.
What competitors miss
Vedantu and Story of Mathematics each cover one direction well, conversion tables included, but neither does rate differences. RaikCalculator has the three modes but buries the monetary-amount use case. CalculatorsHub and Brave Calculator only do differences or variance, nothing else. The old version of this page only converted BPS to percentage and popped alert boxes on bad input. This rewrite keeps that conversion with its step-by-step working and monetary value, and adds the two missing directions: percentage to BPS, and a signed rate-difference mode that states the direction. Inline validation replaces the alerts, and copy plus share sit on the result.