Calculate Basis Points
Formula Used
1 basis point = 0.01%
100 basis points = 1%
Percentage = Basis Points ÷ 100
Basis Points = Percentage × 100
Decimal = Basis Points ÷ 10,000
Basis-Point Change = (New Rate − Original Rate) × 100
Financial Impact = Principal × Basis Points ÷ 10,000
A basis point measures a very small rate change. It equals one hundredth of one percentage point. This avoids confusion when comparing percentages.
How to Use This Calculator
- Choose the calculation mode matching your task.
- Enter the required rates, basis points, decimal, or principal.
- Choose the desired decimal precision and currency settings.
- Select Calculate to view conversions and working steps.
- Copy, print, save as PDF, or download CSV results.
Worked Examples
| Example | Input | Calculation | Result |
|---|---|---|---|
| Convert basis points | 75 bps | 75 ÷ 100 | 0.75% |
| Convert percentage | 1.25% | 1.25 × 100 | 125 bps |
| Compare rates | 4.25% to 4.75% | (4.75 − 4.25) × 100 | 50 bps increase |
| Financial impact | $250,000 at 50 bps | 250,000 × 50 ÷ 10,000 | $1,250 annually |
Basis-Point Conversion Table
| Basis points | Percentage | Decimal |
|---|---|---|
| 1 bps | 0.01% | 0.0001 |
| 5 bps | 0.05% | 0.0005 |
| 10 bps | 0.1% | 0.001 |
| 25 bps | 0.25% | 0.0025 |
| 50 bps | 0.5% | 0.005 |
| 75 bps | 0.75% | 0.0075 |
| 100 bps | 1% | 0.01 |
| 200 bps | 2% | 0.02 |
| 500 bps | 5% | 0.05 |
| 1000 bps | 10% | 0.1 |
Common Financial Applications
Basis points are common in lending, investing, and banking. Analysts use them for interest rates, bond yields, fees, and spreads. They make small changes easier to communicate.
A mortgage rate moving from 6.50% to 6.75% rises by 25 basis points. A management fee falling from 1.00% to 0.85% drops by 15 basis points. The same method applies to credit spreads.
Financial impact estimates translate rate movements into money. Actual outcomes may differ because balances and compounding can change. Review contracts before making financial decisions.
Frequently Asked Questions
What is one basis point?
One basis point equals 0.01%, or 0.0001 in decimal form.
How many basis points equal one percent?
One percent equals exactly 100 basis points.
How do I convert basis points into percentages?
Divide the basis-point value by 100.
How do I convert percentages into basis points?
Multiply the percentage value by 100.
Are basis points the same as percentage changes?
No. Basis points measure absolute percentage-point movement, while percentage change measures relative movement.
Can a basis-point change be negative?
Yes. A negative result shows a decrease in the rate or financial impact.
What does a 25-basis-point increase mean?
It means the rate increased by 0.25 percentage points.
How is financial impact estimated?
The calculator multiplies principal by basis points and divides by 10,000.
Does the impact calculation include compounding?
No. It provides a simple estimate based on a constant balance and annualized rate change.
Why use basis points instead of percentages?
Basis points reduce ambiguity when describing small changes between percentage rates.
Can I save the result?
Yes. Use CSV download or print the page and choose Save as PDF.
Important Disclaimer
This calculator provides educational estimates only. It does not replace professional financial, legal, tax, investment, lending, or accounting advice.