Basis Point (BPS) Calculator — Convert BPS to Percentage & Dollars
Convert basis points (bps) to percentages (%), decimal rates, and exact dollar values on loans, bonds, and investment portfolios.
How to Use the Basis Point (BPS) Calculator — Convert BPS to Percentage & Dollars
In central banking, bond trading, mortgage lending, and wealth management, a basis point (abbreviated as bp or bps, and pronounced ‘bip’ or ‘bips’) equals one-hundredth of one percent (0.01% or 0.0001). Financial professionals use basis points to eliminate dangerous ambiguity when discussing interest rate changes: if a bond yield rises from 4.00% by ’50 basis points,’ everyone knows the new rate is 4.50% (whereas saying it rose by ‘0.5%’ could be misinterpreted as a relative change to 4.02%).
Formula and Calculation Methodology
- BPS: Number of basis points (where 100 bps = 1% and 10,000 bps = 100%)
- Principal: Total loan, mortgage, bond notional, or AUM portfolio value in dollars
To convert basis points to a percentage, simply divide by 100 (move the decimal point two places to the left). To calculate the annual dollar cost of a fee or interest rate change expressed in basis points, multiply your loan or portfolio balance by the number of basis points and divide by 10,000.
Quick Basis Points (BPS) to Percentage & Dollar Conversion Chart
| Basis Points (bps) | Percentage (%) | Decimal | Annual Value on $100,000 | Annual Value on $1,000,000 |
|---|---|---|---|---|
| 1 bp | 0.01% | 0.0001 | $10 | $100 |
| 10 bps | 0.10% | 0.0010 | $100 | $1,000 |
| 25 bps | 0.25% | 0.0025 | $250 | $2,500 |
| 50 bps | 0.50% | 0.0050 | $500 | $5,000 |
| 75 bps | 0.75% | 0.0075 | $750 | $7,500 |
| 100 bps | 1.00% | 0.0100 | $1,000 | $10,000 |
Frequently Asked Questions
How many basis points are in 1 percent?
There are exactly 100 basis points in 1% (1.00%). Consequently, 25 bps equals 0.25%, 50 bps equals 0.50%, and 75 bps equals 0.75%.
What does a 25 bps Fed rate cut mean?
When the Federal Reserve cuts the federal funds target rate by 25 basis points, it lowers benchmark short-term interest rates by 0.25 percentage points (one-quarter of a percent).
How much is 15 bps on a $500,000 investment portfolio?
15 basis points equals 0.15%, which costs $750 per year ($62.50 per month) on a $500,000 portfolio.