Basis Point Calculator
This basis point calculator shows how bps, percent, and decimal rates connect, then applies a rate move without making you convert each step by hand. Enter a value in basis points, percent, or decimal form to see the equivalent rate in the other two formats. You can also start with a quoted rate and add or subtract a basis point move to model a central bank change, lender repricing, spread move, or yield adjustment. Basis points matter because they remove ambiguity. Saying a rate rose by 0.25 percentage points is precise, while saying it rose by 25 percent can mean something very different. This page keeps the math in percentage-point terms, so 25 bps becomes 0.25%, 0.0025 in decimal form, and a move from 4.75% to 5.00% when added to the starting rate.
Quick answer
1% equals 100 basis points and 0.01 in decimal form.
Enter decimal rates as fractions of 1. For example, 0.0475 means 4.75%.
What this tells you
- •1% equals 100 basis points and 0.01 in decimal form.
- •1 basis point equals 0.01%, which is 0.0001 as a decimal rate.
- •25 bps equals 0.25%, which is 0.0025 as a decimal rate.
- •A move quoted in basis points changes the rate by percentage points, not by a percent of the starting rate.
- •Decimal rates look smaller because they are fractions of 1, so 5% is written as 0.05.
- •Negative moves are handled by choosing subtract, while the basis point input itself stays non-negative.
How to Use
- 1Choose Convert rates when you only need to switch between basis points, percent, and decimal form.
- 2Enter the value you already have, then select the matching unit so the calculator interprets it correctly.
- 3Review the output in all three formats if you need to compare a market quote, spreadsheet input, and plain-language percentage.
- 4Choose Adjust a rate when you want to apply a basis point increase or decrease to an existing rate.
- 5Enter the starting rate and select whether that starting figure is in percent, decimal, or basis points.
- 6Enter the basis point move and pick Add bps for an increase or Subtract bps for a cut.
- 7Calculate to see the adjusted rate in percent, decimal, and basis points, along with the original rate expressed in the same three formats.
- 8If you are checking a loan quote, yield sheet, or forecast, confirm the final number against the original source before making a financial decision.
How It Works
Formula
1% = 100 bps = 0.01
Percent = basis points ÷ 100
Decimal = percent ÷ 100
Adjusted rate = starting rate ± (basis points ÷ 100)A basis point is one-hundredth of a percentage point, so the first conversion is always basis points divided by 100. Once you have the percent value, divide by 100 again to write the same rate in decimal form. Going the other direction works in reverse, so a decimal like 0.0375 becomes 3.75% and then 375 basis points. For rate adjustments, the calculator converts the starting rate into percent, converts the basis point move into percentage points, applies the increase or decrease, and then converts the ending rate back into decimal and basis point form. The tool rounds displayed outputs for readability, but the logic stays consistent across all supported units.
Calculation note: values are processed in the order shown above, using the current input units.
Worked Examples
Convert 25 basis points
Divide 25 by 100 to convert basis points into percent, which gives 0.25%. Divide 0.25 by 100 to convert percent into decimal form, which gives 0.0025. This is the common size of a quarter-point rate move.
Convert a 0.0375 decimal rate
Multiply 0.0375 by 100 to turn the decimal into percent, which gives 3.75%. Multiply 3.75 by 100 again to express the same rate in basis points, which gives 375 bps. This is a useful check when a spreadsheet stores rates in decimal form but a rate sheet uses basis points.
Add 25 bps to 4.75%
A 25 bps move equals 0.25 percentage points. Add 0.25% to 4.75% and the ending rate becomes 5.00%. The same ending rate is 0.05 in decimal form and 500 basis points.
Subtract 37.5 bps from 6.125%
A 37.5 bps cut equals 0.375 percentage points. Subtract 0.375% from 6.125% and the ending rate becomes 5.75%. In the other formats, that same result is 0.0575 as a decimal rate and 575 basis points.
Add 18 bps to a 325 bps starting rate
A starting rate of 325 bps equals 3.25%. Adding 18 bps adds 0.18 percentage points, so the ending rate becomes 3.43%. Converting 3.43% back gives 343 bps and 0.0343 in decimal form.
Subtract 12.5 bps from a 0.0425 decimal rate
A decimal rate of 0.0425 equals 4.25%. A 12.5 bps cut equals 0.125 percentage points, so 4.25% drops to 4.125%. The matching decimal is 0.04125 and the matching basis point figure is 412.5 bps.
Common Basis Point Conversions
| Basis points | Percent | Decimal | Typical reading |
|---|---|---|---|
| 1 bps | 0.01% | 0.0001 | A very small spread or fee change |
| 10 bps | 0.10% | 0.001 | A modest spread adjustment |
| 25 bps | 0.25% | 0.0025 | A quarter-point move |
| 50 bps | 0.50% | 0.005 | A half-point move |
| 75 bps | 0.75% | 0.0075 | A larger repricing step |
| 100 bps | 1.00% | 0.01 | One full percentage point |
| 250 bps | 2.50% | 0.025 | A large yield or pricing gap |
| 500 bps | 5.00% | 0.05 | A major difference in quoted rates |
Rates are shown as equivalent ways to write the same value. A decimal rate of 0.05 means 5%, not 0.05%.
Common mistakes
- Treating 25 basis points as 25% instead of 0.25%.
- Entering 5 as a decimal rate when you mean 5%, since the decimal form for 5% is 0.05.
- Applying a basis point move as a percent of the starting rate instead of adding or subtracting percentage points.
- Mixing percent and decimal inputs when copying numbers from a spreadsheet, dashboard, or loan quote.
- Forgetting that 100 bps equals 1.00 percentage point, not 100 percentage points.
- Rounding too early when you still need to reuse the rate in later calculations.
Limitations
This calculator assumes you are comparing simple quoted rates under the same basic convention. It converts between percent, decimal, and basis points, then applies a direct increase or decrease in percentage-point terms. It does not model compounding, APR versus APY differences, day-count conventions, teaser periods, bond duration, price sensitivity, benchmark resets, margin grids, taxes, fees, or lender-specific rounding rules. Use it as a clean conversion and adjustment check, not as a full pricing or return model.
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