What is a Basis Point?
A basis point (abbreviated as bp, bps, or "bip") is a unit of measurement used in finance to describe the percentage change in financial instruments or rates. One basis point is equal to one hundredth of one percent (0.01%), or 0.0001 in decimal form.
Basis points are used because percentage changes in interest rates and yields are often very small. Using basis points eliminates confusion that might arise from phrases like "a 1% increase" which could mean an increase of 1 percentage point (e.g., from 5% to 6%) or a 1% relative increase (e.g., from 5% to 5.05%).
100 Basis Points = 1%
Conversion Formulas
Converting between basis points and other formats is straightforward:
| From | To | Formula | Example |
|---|---|---|---|
| Basis Points | Percentage | bps / 100 | 50 bps = 0.5% |
| Percentage | Basis Points | % × 100 | 0.5% = 50 bps |
| Basis Points | Decimal | bps / 10,000 | 50 bps = 0.005 |
| Decimal | Basis Points | decimal × 10,000 | 0.005 = 50 bps |
| Basis Points | Permille | bps / 10 | 50 bps = 5‰ |
| Permille | Basis Points | permille × 10 | 5‰ = 50 bps |
Why Use Basis Points?
Basis points provide precision and clarity in financial communications for several reasons:
- Avoid ambiguity: When someone says interest rates rose "by 1%," it's unclear whether this means from 5% to 6% (100 basis points) or from 5% to 5.05% (5 basis points). Saying "rates rose 100 basis points" is unambiguous.
- Precision for small changes: Financial rates often change by very small amounts. It's easier to say "25 basis points" than "0.25 percentage points" or "a quarter of one percent."
- Industry standard: Basis points are the universal language in finance, banking, and investment industries worldwide.
- Relative vs. absolute: Basis points always represent absolute changes, eliminating confusion about relative percentage changes.
Example: Basis Points in Action
The Federal Reserve announces: "The target range for the federal funds rate has been raised by 25 basis points."
This clearly means the rate increased by 0.25 percentage points. If the previous rate was 4.50%, the new rate is:
4.50% + 0.25% = 4.75%
Common Applications of Basis Points
Mortgage interest rates are commonly quoted using basis points. A "25 basis point" rate cut means your rate drops by 0.25%. On a $300,000 mortgage, a 25 bps rate change equals about $750 per year in interest.
Bond yields are quoted in basis points. A bond spread of "150 bps over Treasury" means the bond yields 1.5 percentage points more than comparable Treasury securities.
Expense ratios for mutual funds and ETFs are often expressed in basis points. A fund with a "20 bps expense ratio" charges 0.20% annually on assets under management.
Credit card processing fees are typically quoted in basis points plus a flat fee. "250 bps + $0.10" means 2.5% of the transaction plus ten cents.
Central banks like the Federal Reserve, ECB, and Bank of England announce interest rate changes in basis points to provide clarity in monetary policy communications.
Calculating Basis Point Value
To find the dollar value of a basis point change, multiply the principal amount by the decimal equivalent:
Or: Value = Principal × (Basis Points × 0.0001)
Example: Commission Calculation
A stockbroker charges 30 basis points commission on a $150,000 stock trade:
Commission = $150,000 × (30 / 10,000)
Commission = $150,000 × 0.003 = $450
Basis Points vs. Percentage Points
It's important to distinguish between basis points and percentage points:
| Measurement | Change from 5% to 6% | Change from 5% to 5.05% |
|---|---|---|
| Basis Points | 100 bps increase | 5 bps increase |
| Percentage Points | 1 pp increase | 0.05 pp increase |
| Relative Percentage | 20% increase | 1% increase |
Can Basis Points Be Negative?
Yes, basis points can be negative when describing rate decreases. For example, if interest rates drop from 4.75% to 4.50%, this is a change of -25 basis points. Negative basis points are common when discussing:
- Interest rate cuts by central banks
- Declining bond yields
- Reduced fee structures
- Falling mortgage rates
The Origin of Basis Points
The term "basis point" comes from the concept of the "basis" which is the difference between two interest rates or yields. The word "point" refers to a measurement unit. Together, they create a standardized way to express small changes in financial percentages that has been used in the financial industry for decades.
Frequently Asked Questions
100 basis points equal 1 percent. This is because each basis point represents 0.01%, so 100 × 0.01% = 1%. This relationship makes it easy to convert: simply divide basis points by 100 to get the percentage, or multiply the percentage by 100 to get basis points.
40 basis points equals 0.4% (or 0.40%). To convert: 40 bps / 100 = 0.4%. In decimal form, 40 basis points equals 0.004 (40 / 10,000).
In mortgages, a basis point represents 0.01% of the interest rate. For example, if your mortgage rate changes from 6.50% to 6.25%, it has decreased by 25 basis points. On a $300,000 loan, each basis point represents about $30 per year in interest, so a 25 bps change equals approximately $750 annually.
Basis points eliminate ambiguity. When someone says "rates increased 1%," it could mean an absolute increase (from 5% to 6%) or a relative increase (from 5% to 5.05%). Saying "rates increased 100 basis points" clearly indicates the absolute change. This precision is crucial in finance where large amounts of money are involved.
Basis points are commonly abbreviated as "bp" (singular), "bps" (plural), or "bip/bips" (informal pronunciation). In verbal communication, you might hear "fifty bips" meaning 50 basis points. All these abbreviations are widely understood in financial contexts.