— Everyday Math
Basis Points Calculator
Convert basis points to percentages, decimals, or rate changes. One basis point is 0.01%, so this helps translate small finance moves, apply them to a base rate, and optionally estimate the fee or interest cost on an amount.
As a percentage
0.25%
- As a decimal
- 0.0025
- Basis points
- 25
— How it works
1 basis point = 0.01% = 0.0001. Percent = bps ÷ 100; basis points = % × 100; decimal = bps ÷ 10,000. Applying a change: new rate = base rate ± change ÷ 100.
What a basis point is
A basis point — “bp”, or “bips” when spoken — is one hundredth of one percent: 0.01%, or 0.0001 as a decimal. Finance uses them because percentages of percentages get confusing fast. If a rate rises “0.5%”, does that mean half a percentage point, or half a percent of the rate? Basis points remove the ambiguity: a 50 bp rise is unmistakably half a percentage point. So 100 bps make 1%, 25 bps is a quarter point, and a full point is 100 bps. To convert, divide basis points by 100 for the percentage, or by 10,000 for the decimal; multiply a percentage by 100 to get basis points.
Worked example — 25 basis points: 25 ÷ 100 = 0.25%, and 25 ÷ 10,000 = 0.0025. Apply a 25 bp rise to a 5.00% rate and it becomes 5.25%.
Applying a change — and the percentage-point trap
When a central bank “raises rates by 25 basis points”, it adds 0.25 percentage points to the rate: 5.00% becomes 5.25%. That is an absolute change, not a percentage change — the rate did not go up 25%, it went up a quarter of a point. Confusing the two is the classic basis-points mistake, and it is exactly why the convention exists. Use the apply mode to add or subtract a bps change (a minus sign for a cut) and read off the new rate and the absolute move.
Add an amount and the calculator turns the rate into money: 25 bps on a $1,000,000 balance is $2,500 a year, and a 25 bp change on the same balance costs (or saves) $2,500. This is how fee differences and rate moves translate into real cash.
Why fees are quoted in basis points
Fund expense ratios, advisory fees and loan spreads are almost always quoted in basis points because the numbers are small and precise: a 0.20% fund fee is “20 bps”, and the difference between a 20 bp and a 50 bp fund is 30 bps — clearer than “0.3 percent”, which invites the percentage-point confusion. Converting a quoted bps fee to a decimal and multiplying by the amount invested shows the annual cost in money, which is the figure that actually matters when comparing funds or negotiating a fee.
— Reader questions
What is a basis point?
One basis point is one hundredth of a percent — 0.01%, or 0.0001 as a decimal. 100 basis points make 1%. They are used in finance to describe small, precise changes in interest rates and fees without the ambiguity of “percent of a percent”.
How do I convert basis points to a percentage?
Divide by 100. So 25 bps = 0.25%, 50 bps = 0.50%, and 150 bps = 1.50%. To go the other way, multiply the percentage by 100: 0.75% = 75 bps. As a decimal, divide basis points by 10,000.
What does a 25 basis point rate hike mean?
It means the rate rises by 0.25 percentage points — a 5.00% rate becomes 5.25%. It is an absolute change, not a 25% increase in the rate. Use the apply mode to see the new rate from any base and change.
How much is 25 basis points on a sum of money?
25 bps is 0.0025 as a decimal, so on $1,000,000 it is $2,500 a year. Enter an amount under the advanced options to turn any basis-point figure into a fee or interest cost.
Why are fund fees quoted in basis points?
Because the figures are small and basis points are unambiguous: a 0.20% fee is “20 bps”, and a 30 bps gap between funds is clearer than “0.3%”. Converting bps to a decimal and multiplying by the amount invested gives the annual cost in money.