Introduction
A basis point (bps) is a unit used in finance to measure small changes in interest rates, bond yields, and other percentages. One basis point equals 0.01%, or one hundredth of a percent. For example, if a loan rate moves from 5.00% to 5.25%, that is a change of 25 basis points. Banks, lenders, and investors use basis points every day because they make it easy to talk about tiny rate shifts without confusion.
This basis points calculator helps you convert between basis points, percentages, decimals, and permille in seconds. You can also compare two rates to find the exact basis point difference between them. If you need to know what a certain number of basis points means in real dollars, use the monetary section below. Enter your principal amount and basis points, and the tool will show you the dollar value along with a step-by-step breakdown of the math.
How to Use Our Basis Points Calculator
Enter your basis points, percent, or rate values into the fields below. The calculator will convert between basis points, percent, decimal, and permille. It also shows the dollar value of basis points on any amount you choose.
Conversion Calculator
Conversion Mode: Pick how you want to convert. Choose "BPS → Percent" to turn basis points into a percent. Choose "Percent → BPS" to turn a percent into basis points. Choose "Difference (A vs B)" to find the gap between two rates in basis points.
Basis Points (bps): In BPS → Percent mode, type the number of basis points you want to convert. This can be any number, including decimals or negatives.
Percent (%): In Percent → BPS mode, type a percent value or drag the slider to set it. The slider covers 0% to 10% for quick adjustments.
Rate A (%) and Rate B (%): In Difference mode, enter two interest rates as percentages. The calculator will tell you how many basis points apart they are and which rate is higher.
Press Calculate to run the conversion. Press Clear / Reset to go back to the default values. Press Copy Result to copy the main answer to your clipboard.
Monetary Application Calculator
Basis Points (bps): Enter the number of basis points you want to apply. Use a negative number for a rate cut or discount.
Principal Amount ($): Enter the dollar amount you want to calculate against. Commas are added for you as you type.
The calculator will show the dollar value of those basis points on your amount, along with the percent and decimal equivalents. A chart below plots dollar values across a range of basis points so you can see how the cost or savings changes. A full step-by-step solution appears beneath each section.
What Are Basis Points?
A basis point (often written as bps and said as "bip" or "bips") is a tiny unit used to measure changes in interest rates, loan rates, and other financial percentages. One basis point equals 1/100th of one percent, or 0.01%. That means 100 basis points equal exactly 1%.
Banks, lenders, and investors use basis points instead of percentages because it removes confusion. If someone says a rate "went up 2%," it is unclear whether the rate increased by 2 percentage points or by 2% of its current value. Saying "the rate went up 200 basis points" is clear — it means the rate rose by exactly 2 percentage points.
How to Convert Basis Points
The math behind basis points is simple. To convert basis points to a percent, divide by 100. For example, 50 bps ÷ 100 = 0.50%. To convert a percent to basis points, multiply by 100. For example, 3.25% × 100 = 325 bps.
To turn basis points into a decimal, divide by 10,000. So 75 bps ÷ 10,000 = 0.0075. This decimal form is what you multiply by a dollar amount to find the actual cost or earnings a rate change creates.
Where Basis Points Are Used
You will see basis points come up in many areas of finance. Here are the most common:
- Mortgage rates — A lender might raise your rate by 25 bps, which adds 0.25% to your interest.
- Central bank decisions — The Federal Reserve often raises or cuts rates by 25 or 50 basis points at a time.
- Bond yields — The difference between two bond yields is almost always stated in basis points.
- Investment fees — Fund expense ratios are frequently quoted in bps. A fee of 15 bps means you pay $15 per year for every $10,000 invested.
- Credit card rates — Variable APR changes are tied to rate moves measured in basis points.
Why Basis Points Matter for Your Money
Even a small number of basis points can have a big impact on large amounts of money. On a $300,000 mortgage, a difference of just 25 basis points (0.25%) changes your annual interest cost by $750. Over a 30-year loan, that adds up to thousands of dollars. This is why understanding basis points helps you compare loan offers, savings accounts, and investments more accurately.