Free basis points calculator
Convert basis points in two seconds. Enter a value in bps or percent and the calculator returns the percent, decimal, and basis-point equivalents at once — plus the dollar impact of the move on a loan, mortgage, or portfolio you choose — updated live, as you type.
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For information only, based on the values you enter. Not financial advice.
Results are estimates. Consult a professional.
What is a basis point?
A basis point — abbreviated bps and often said aloud as "bips" — is one hundredth of one percentage point. One basis point equals 0.01%, or 0.0001 in decimal form, so there are 100 basis points in 1 percent and 10,000 basis points in 100 percent. Finance uses basis points to talk about interest rates, bond yields, and fees with precision: instead of saying a rate rose "by 0.25 of a percentage point," a trader simply says it rose "25 basis points." This basis points calculator converts any figure between bps, percent, and decimal the moment you type it.
How to convert basis points to percent (and back)
Every conversion runs off a single relationship: 100 basis points = 1%. From that, all three directions follow with one operation each.
- Basis points → percent: divide the basis points by 100. So 250 bps ÷ 100 = 2.5%.
- Percent → basis points: multiply the percentage by 100. So 0.75% × 100 = 75 bps.
- Basis points → decimal: divide the basis points by 10,000. So 50 bps ÷ 10,000 = 0.005.
Basis points to percent conversion table
These are the conversions that come up most often when reading about interest rates, Fed moves, and fund fees. Each row is the same quantity written three ways.
| Basis points (bps) | Percent (%) | Decimal |
|---|---|---|
| 1 bps | 0.01% | 0.0001 |
| 5 bps | 0.05% | 0.0005 |
| 10 bps | 0.10% | 0.0010 |
| 25 bps | 0.25% | 0.0025 |
| 40 bps | 0.40% | 0.0040 |
| 50 bps | 0.50% | 0.0050 |
| 75 bps | 0.75% | 0.0075 |
| 100 bps | 1.00% | 0.0100 |
| 150 bps | 1.50% | 0.0150 |
| 200 bps | 2.00% | 0.0200 |
| 250 bps | 2.50% | 0.0250 |
| 500 bps | 5.00% | 0.0500 |
Divide bps by 100 for percent, or by 10,000 for the decimal — verified against the standard 1 bps = 0.01% definition.
A useful sense-check for any conversion: the percent column always has the decimal point moved two places left from the basis-point figure (100 bps → 1.00%), and the decimal column has it moved four places (100 bps → 0.0100). If you ever need a value that is not in the table — say 37 bps or 1.85% — type it into the calculator and read the other two columns; the arithmetic is exact, so there is never any rounding to second-guess.
A worked example using the basis points calculator
A news alert says the Federal Reserve just cut its target rate by 50 basis points, and your savings account followed. You want to know what that move is in plain percent — and what 50 bps costs (or saves) on a $300,000 mortgage. Here is how the calculator gets there, step by step.
Step 1 — Convert the basis points to percent
Enter 50 in the basis points field. The calculator divides by 100: 50 ÷ 100 = 0.50%. A 50-basis-point cut is a half-a-percentage-point cut.
Step 2 — Read the decimal form
The calculator also divides by 10,000 to give the decimal: 50 ÷ 10,000 = 0.005. That is the number you would actually multiply by a balance to size the effect.
Step 3 — Apply it to a dollar amount
Enter $300,000 as the amount. The calculator multiplies: $300,000 × 0.005 = $1,500. So a 50-basis-point change is worth about $1,500 a year on a $300,000 loan — roughly $125 a month.
Why does finance use basis points?
Basis points exist to remove ambiguity from talk about percentage changes. The problem they solve is the difference between a relative and an absolute change. If a fund fee "rose 10%," did it go from 1.00% to 1.10% (a relative 10% increase) or from 1.00% to 11.00% (a 10-percentage-point jump)? Saying it "rose 100 basis points" can only mean one thing — from 1.00% to 2.00%. Basis points are always an absolute change.
- No decimals, no clutter. Whole numbers like "25 bps" are cleaner and easier to say than "zero point two five percent."
- Precision on small moves. Bond yields, swap spreads, and fund fees move in fractions of a percent, where a single basis point can mean millions on a large position.
- One unambiguous meaning. A basis point is an absolute figure, so it never gets confused with a percentage of a percentage.
The word itself explains the idea: the "basis" is the difference, or spread, between two interest rates, and a basis point is the smallest standard unit of that difference. That history is why the term is everywhere in fixed income. A bond trader quoting a corporate bond "120 over" means it yields 120 basis points more than the comparable Treasury; a lender pricing a loan at "SOFR plus 250" is adding 2.50 percentage points to a benchmark. In each case the basis point keeps the spread exact and easy to compare across instruments, which is far harder to do when everyone rounds to the nearest tenth of a percent.
Basis points also scale cleanly. Because they are a fixed, absolute unit, you can add and subtract them without worrying about which base you started from. "The rate rose 40 bps, then fell 15 bps, so it is up 25 bps on the month" is unambiguous arithmetic. Try the same sentence in relative percentages and you quickly tangle yourself in percentages of percentages — exactly the confusion basis points were invented to avoid.
Basis points and interest-rate changes (the Fed and mortgages)
The most common place you will meet basis points is the news on interest rates. When the Federal Reserve adjusts its target rate, the move is almost always quoted in basis points — a "quarter point" cut is 25 bps, a "half point" is 50 bps, and a "three-quarter point" hike is 75 bps. The same language runs through mortgage rates, bond yields, and credit-card APRs.
To find the basis-point change between two rates, subtract one from the other and multiply by 100. If a mortgage rate falls from 6.75% to 6.50%, that is (6.75 − 6.50) × 100 = 25 basis points. If a bond yield climbs from 1.25% to 1.50%, that is 25 bps the other way. The calculator's percent-mode handles this: enter the gap in percent and read it back in basis points.
| Rate move | In basis points | Common name |
|---|---|---|
| 0.25 percentage point | 25 bps | a quarter point |
| 0.50 percentage point | 50 bps | a half point |
| 0.75 percentage point | 75 bps | three-quarters of a point |
| 1.00 percentage point | 100 bps | a full point |
How everyday rate-change shorthand maps onto basis points.
Why does the Fed bother with basis points at all? Because its moves are deliberately small and their effects are enormous. The central bank rarely changes its target by more than 25, 50, or 75 basis points at a time, yet each move ripples through trillions of dollars of mortgages, auto loans, credit cards, and corporate debt. Quoting the change in basis points keeps the announcement precise — a "25-basis-point cut" can only mean one thing — and lets markets price the move instantly. When you hear a headline say rates moved "a quarter point," that is simply 25 bps in plainer English.
Basis points also describe the gap between two products, not just a change over time. The spread between a 30-year mortgage rate and the 10-year Treasury yield, the difference between what a savings account pays and what a money-market fund pays, the margin a lender charges above its benchmark — all are quoted in basis points. Whenever you are comparing two rates that differ by less than a percentage point, basis points are the natural unit, and the percent mode of the calculator above converts that gap for you.
The dollar impact of a basis-point change on a loan or portfolio
Converting bps to percent tells you the size of a move; the dollar impact tells you what it costs. The formula is the decimal conversion applied to a balance: impact = amount × bps ÷ 10,000. A basis-point move that looks tiny in percent can be a large number once it is scaled by a big principal.
| Balance | Rate change | Annual impact |
|---|---|---|
| $5,000 credit card | 25 bps | $12.50 |
| $200,000 loan | 25 bps | $500 |
| $300,000 mortgage | 50 bps | $1,500 |
| $500,000 loan | 100 bps | $5,000 |
| $1,000,000 portfolio | 10 bps fee | $1,000 |
Annual dollar impact = balance × (basis points ÷ 10,000). The same arithmetic the calculator runs from the amount field.
The same formula works in reverse, which is where basis points earn their keep for investors. Fund fees are quoted in basis points precisely because the numbers look small but matter a great deal: an expense ratio of 50 bps on a $1,000,000 portfolio is $5,000 a year, every year, and compounds against your returns for as long as you hold the fund. A seemingly trivial 20-basis-point difference between two index funds is $2,000 a year on that same balance — which is exactly why low-cost investing obsesses over basis points rather than waving them off as rounding error.
Common basis point conversions
Definitions and sources
The basis-point definition used here — 1 bps = 0.01% = 0.0001 — is the standard market convention used by central banks, exchanges, and financial data providers worldwide. The conversion formulas (bps ÷ 100 for percent, bps ÷ 10,000 for decimal) are exact arithmetic identities, not estimates, so the table values above are precise.
Corporate Finance Institute — Basis Points (BPS) definition and conversions.U.S. Federal Reserve — federal funds rate target decisions (quoted in basis points).Frequently asked questions about the free basis points calculator
About this basis points calculator
This basis points calculator runs entirely in your browser. Every figure you enter stays on your device — nothing is sent to a server, logged, or shared. It divides basis points by 100 for the percent and by 10,000 for the decimal (and multiplies a percentage by 100 to go the other way), then applies amount × bps ÷ 10,000 for the dollar impact, updating instantly as you type.
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