Basis Points Calculator
Convert basis points to percentages, decimals and permille. Compare two rates, add or subtract BPS from a rate, or estimate the simple annual dollar impact of a basis-point change.
Convert basis points, percent, decimal or permille
Enter a value and choose its unit. The equivalent values update instantly.
25 / 100 = 0.25%
25 / 10,000 = 0.0025 decimal
One basis point is 0.01 percentage points, 0.0001 in decimal form, or 0.1 permille.
Calculate the basis-point change between rates
Compare an old percentage rate with a new percentage rate and keep the absolute and relative changes separate.
(5.25 - 4.75) x 100 = +50 bps
(0.5 / 4.75) x 100 = +10.53% relative change
A 50-basis-point increase is a 0.5 percentage-point increase. It is not necessarily a 50% relative increase.
Add or subtract basis points from a rate
Use a positive BPS adjustment to increase the rate or a negative value to decrease it.
25 / 100 = 0.25 percentage points
5% + 0.25% = 5.25%
Negative rates and negative adjustments are accepted because they can occur in financial data.
Estimate the simple annual dollar impact
Apply a basis-point rate change to an amount. This is a simple annual estimate before compounding, amortization, fees or tax.
$100,000 x (50 / 10,000) = $500 per year
4.5% + 0.5% = 5% adjusted rate
This does not calculate a loan payment, bond-price movement or compounded investment return. Use the signed result as a simple annual rate difference only.
A basis point is one hundredth of a percentage point. One basis point equals 0.01%, so 100 basis points equal 1 percentage point. Finance professionals use basis points to describe small changes in interest rates, bond yields, fees and spreads without confusing an absolute rate movement with a relative percentage change.
Basis points conversion formulas
Percentage points = Basis points / 100
Basis points = Percentage points x 100
Decimal = Basis points / 10,000
Permille = Basis points / 10Example: 25 basis points in percentage
Divide 25 by 100. The result is 0.25 percentage points, written as 0.25%. In decimal form, 25 basis points are 0.0025.
Basis points to percentage conversion table
| Basis points | Percentage | Decimal | Permille |
|---|---|---|---|
| 1 bps | 0.01% | 0.0001 | 0.1 |
| 5 bps | 0.05% | 0.0005 | 0.5 |
| 10 bps | 0.10% | 0.001 | 1 |
| 25 bps | 0.25% | 0.0025 | 2.5 |
| 40 bps | 0.40% | 0.004 | 4 |
| 50 bps | 0.50% | 0.005 | 5 |
| 100 bps | 1% | 0.01 | 10 |
| 250 bps | 2.50% | 0.025 | 25 |
| 300 bps | 3% | 0.03 | 30 |
| 500 bps | 5% | 0.05 | 50 |
| 1,000 bps | 10% | 0.1 | 100 |
How to calculate basis-point change
Subtract the old percentage rate from the new percentage rate, then multiply the difference by 100. Keep the sign to show whether the rate rose or fell.
Basis-point change = (New rate - Old rate) x 100Example: a rate changes from 4.75% to 5.25%
The absolute change is 0.5 percentage points. Multiply 0.5 by 100 to get an increase of 50 basis points. Relative to 4.75%, the rate increased by about 10.53%, not 50%.
For broader value changes that use an original amount as the baseline, use the Percentage Increase Calculator.
Basis points, percentage points and percent change
These terms answer different questions. Basis points and percentage points describe the absolute distance between rates. Relative percent change compares that distance with the old rate.
| Measure | 4% to 5% | Meaning |
|---|---|---|
| Basis-point change | +100 bps | Absolute rate movement |
| Percentage-point change | +1 point | Absolute rate movement |
| Relative percent change | +25% | Change relative to the old 4% rate |
To compare two values without treating either one as the starting baseline, use the Percentage Difference Calculator.
Adding or subtracting basis points from a rate
Convert the basis points to percentage points, then add or subtract that amount from the starting rate.
New rate = Starting rate + (Basis-point adjustment / 100)Example: add 25 basis points to 5%
Twenty-five basis points equal 0.25 percentage points. Add 0.25% to 5% to get a new rate of 5.25%.
Simple annual dollar impact of basis points
To estimate the simple annual monetary effect of a rate change, multiply the amount by the basis points divided by 10,000.
Simple annual amount effect = Amount x (Basis points / 10,000)Example: 50 basis points on $100,000
$100,000 x 0.005 = $500 per year. Dividing by 12 gives a simple monthly equivalent of $41.67.
This is a rate-effect estimate, not a payment calculation. Actual loan payments, bond prices and investment returns can depend on amortization, compounding, cash-flow timing, fees, tax and other terms. Use the Interest Rate Calculator when compound interest is the question.
Where basis points are used
- Interest rates: central-bank, mortgage, savings and lending-rate movements.
- Bond yields and spreads: small differences between yields or credit spreads.
- Investment fees: expense ratios, management fees and advisory charges.
- Profitability and margins: small changes in financial ratios and operating measures.
Basis points calculator FAQs
What percentage is 25 basis points?
Twenty-five basis points equal 0.25 percentage points, written as 0.25%. Divide 25 by 100.
What percentage is 50 basis points?
Fifty basis points equal 0.50 percentage points, or 0.5%. In decimal form, the value is 0.005.
What percentage is 100 basis points?
One hundred basis points equal 1 percentage point, written as 1%. In decimal form, the value is 0.01.
How many basis points are in 1%?
There are 100 basis points in one percentage point. Multiply a percentage-point value by 100 to convert it to BPS.
How many basis points is a change from 4% to 4.5%?
The difference is 0.5 percentage points. Multiply by 100 to get an increase of 50 basis points.
Is one basis point 0.01% or 0.0001?
Both forms describe the same value. One basis point is 0.01 percentage points and 0.0001 in decimal form.
Does the dollar-impact calculator show a loan-payment change?
No. It shows the simple annual amount associated with the rate difference. An amortized loan payment needs the loan balance, term, repayment schedule and other terms.