How to Use This Calculator
- 1
Enter Your Value
Type a number in any one field -- basis points, percent, decimal, or permille. Optionally set a position or portfolio size (default is $1,000,000).
- 2
Review Results
View the converted basis points, percent equivalent, and dollar impact. The insights card shows the decimal value, permille, parts per million, and rate category. Scroll down for the common basis point reference table.
Example Calculation
A bond trader enters 50 basis points on a $1,000,000 position to see the equivalent rate and dollar impact.
Basis Points
50
Position / Portfolio Size ($)
1,000,000
Results
Basis Points
50
Percent Equivalent
0.50%
Dollar Impact on $1,000,000
$5,000.00
Insights card shows decimal value (0.
Tips
Quantify the Cost of a Rate Hike
A 25 basis point rate increase on a $1,000,000 portfolio adds $2,500 in annual cost. Enter 25 bps and your actual position size to see your specific exposure.
Compare Fund Fee Differences
Switching from a fund charging 75 bps to one charging 10 bps saves $6,500 per year on a $1,000,000 investment. Enter each fee to see the dollar difference instantly.
Scale Impact by Position Size
On a $500,000 mortgage, 75 basis points equals $3,750 per year. Change the position size field to match your loan or portfolio and see the exact dollar impact.
Use the Reference Table for Quick Lookups
The built-in table shows that 100 bps = 1.00% = $10,000 on a $1,000,000 position, while 200 bps doubles that to $20,000. Scan the table to benchmark any rate move.
Conversion Formulas and Relationships
The calculator converts between four proportional units using these core relationships:
decimal = basis points / 10,000
percent = basis points / 100
permille = basis points / 10
dollar impact = decimal x position size
For example, entering 50 basis points produces: 0.00500000 decimal, 0.50%, 5.0000 permille, and $5,000.00 on a $1,000,000 position.
Every conversion is a rearrangement of the same relationship -- if you start with percent, the calculator multiplies by 100 to get basis points, then derives everything else.
Example: 50 Basis Points on a $1,000,000 Position
Here is the step-by-step math for the default example:
- Basis points to percent: 50 / 100 = 0.50%
- Basis points to decimal: 50 / 10,000 = 0.00500000
- Basis points to permille: 50 / 10 = 5.0000‰
- Dollar impact: 0.005 x $1,000,000 = $5,000.00
The reference table extends this to common values:
| Basis Points | Percent | Decimal | Dollar Impact |
|---|---|---|---|
| 1 | 0.01% | 0.0001 | $100 |
| 25 | 0.25% | 0.0025 | $2,500 |
| 50 | 0.50% | 0.0050 | $5,000 |
| 100 | 1.00% | 0.0100 | $10,000 |
| 200 | 2.00% | 0.0200 | $20,000 |
| 500 | 5.00% | 0.0500 | $50,000 |
When to Use Each Unit
Basis points are standard in finance for interest rate changes, bond yields, credit spreads, and fund fees.
A Fed rate move of 25 bps ($2,500 per $1,000,000) is clearer than saying "a quarter of a percent."
Percent is the most widely understood format for general audiences.
Use it in client-facing reports and everyday comparisons.
Permille appears in specialized fields like insurance pricing and scientific measurements. 50 bps = 5.0‰.
Decimal is needed when plugging rates into spreadsheet formulas or financial models. 50 bps = 0.0050 as a multiplier.
Frequently Asked Questions
How do I convert basis points to a percentage?
Divide basis points by 100. For example, 50 basis points / 100 = 0.50%. The formula is: percent = basis points / 100.
What is the dollar impact of 25 basis points on $1,000,000?
25 basis points equals 0.25%, so the dollar impact is 0.0025 x $1,000,000 = $2,500. The formula is: dollar impact = (basis points / 10,000) x position size.
How do I convert a percentage to basis points?
Multiply the percentage by 100. For example, 1.50% x 100 = 150 basis points. This works because 1 percentage point contains 100 basis points.
What is the relationship between basis points and decimal values?
Divide basis points by 10,000 to get the decimal. For example, 50 bps / 10,000 = 0.0050. Conversely, multiply a decimal by 10,000 to get basis points: 0.0050 x 10,000 = 50 bps.
How does permille relate to basis points?
1 permille equals 10 basis points, and 1 basis point equals 0.1 permille. For example, 50 basis points = 5.0 permille. The conversion is: permille = basis points / 10.
Can I use negative basis points?
Yes. A decrease of 50 basis points represents a -0.50% change, or a decimal shift of -0.0050. On a $1,000,000 position, that is a -$5,000 impact. The conversion formulas work identically for negative values.