Basis Point Calculator
Enter a number of basis points to instantly convert it to a percentage, decimal, and permille, see the dollar impact on any notional amount, and get the DV01 (dollar value of one basis point). Use the rate-difference mode to find the spread between two rates in BPS and the annual cost or saving on a principal. Switch modes to work backwards from a percentage or a dollar amount.
What is a basis point?
A basis point (abbreviated bps, and sometimes spoken as "bip" or "beep") is a unit of measurement equal to one one-hundredth of a percentage point, or 0.01%. In decimal form, one basis point equals 0.0001. The term is used throughout finance because small changes in interest rates, bond yields, credit spreads, and fee rates are cumbersome to express in whole percentages. Saying a mortgage rate rose by 25 bps is more precise and unambiguous than saying it rose "a quarter percent," since the latter could be misread as a quarter of the existing rate rather than 0.25 percentage points. Central banks such as the U.S. Federal Reserve routinely describe rate moves in basis points, and the convention is standard in bond markets, derivatives pricing, and asset management.
How to convert basis points to percent and back
The conversion formulas are straightforward. To convert basis points to a percent, divide by 100: 50 bps = 50 / 100 = 0.50%. To convert a percent to basis points, multiply by 100: 1.25% = 1.25 x 100 = 125 bps. To convert basis points to a decimal, multiply by 0.0001: 75 bps = 75 x 0.0001 = 0.0075. To convert a decimal to basis points, divide by 0.0001 (or multiply by 10,000): 0.0030 = 0.0030 / 0.0001 = 30 bps. To convert basis points to permille (parts per thousand), multiply by 0.1: 100 bps = 100 x 0.1 = 10 permille. These relationships all follow from the definition: 1 bps = 1/10,000 of a whole, so percentage, decimal, and permille are just different scales on the same concept.
Calculating the dollar impact and DV01
To find the actual money amount that a given number of basis points represents on a notional, multiply the notional by the decimal equivalent of the basis points. For example, a 25 bps fee on a $500,000 loan is 0.0025 x $500,000 = $1,250. A 50 bps yield pickup on a $10 million bond portfolio is 0.0050 x $10,000,000 = $50,000 per year in additional interest income. The DV01 (dollar value of one basis point, also called PV01 or PVBP in bond markets) is a special case: it is the dollar change on the notional for exactly one basis point of movement. For a simple notional, DV01 = notional x 0.0001. On a $1,000,000 position, DV01 = $100. Traders use DV01 to size hedges and measure interest-rate sensitivity: a portfolio with a DV01 of $5,000 gains or loses $5,000 for every single basis-point move in rates.
Where basis points are used in finance
Basis points appear in virtually every corner of fixed-income and lending markets. In bond markets, yields are quoted and compared in bps; a bond trader who says a spread widened by 20 bps means the yield gap between two bonds increased by 0.20%. Mortgage and loan rates are moved in bps by lenders adjusting to funding costs. The Federal Reserve and other central banks announce target rate changes in bps, most often in 25 or 50 bps increments, though emergency moves of 75 or 100 bps have occurred during crises. Investment management fees are expressed in bps: a 0.50% expense ratio is 50 bps. Credit default swap (CDS) spreads, interest rate swap (IRS) fixed legs, and currency swap basis spreads are all quoted in bps. For anyone modeling borrowing costs, portfolio yield, or fee drag, fluency with basis-point conversions is essential.
Common basis point reference values
| Basis Points (bps) | Percent (%) | Decimal | Common context |
|---|---|---|---|
| 1 | 0.01% | 0.0001 | Minimum pricing increment; DV01 on $10,000 = $1 |
| 5 | 0.05% | 0.0005 | Interbank spread quote |
| 10 | 0.10% | 0.0010 | Minor credit spread move |
| 25 | 0.25% | 0.0025 | Standard central bank quarter-point move |
| 50 | 0.50% | 0.0050 | Central bank half-point move |
| 75 | 0.75% | 0.0075 | Central bank three-quarter-point move |
| 100 | 1.00% | 0.0100 | One full percentage point |
| 200 | 2.00% | 0.0200 | Typical high-yield bond spread |
| 500 | 5.00% | 0.0500 | Distressed debt spread threshold |
Quick-reference table mapping typical basis point values used in finance to their percent and decimal equivalents.
Frequently asked questions
How many basis points are in 1 percent?
There are 100 basis points in 1 percent. One basis point equals 0.01%, so multiplying any percentage by 100 gives you the equivalent in basis points. For example, 2.5% equals 250 basis points, and 0.75% equals 75 basis points.
How do I convert basis points to a dollar amount?
Multiply the number of basis points by 0.0001 to get the decimal, then multiply by the notional (principal) amount. For example, 50 bps on a $200,000 loan is 0.0050 x $200,000 = $1,000. The "BPS to percent / decimal / dollar" mode in this calculator does this automatically when you enter a notional amount.
What is DV01 and how is it calculated?
DV01 stands for "dollar value of one basis point" and measures how much a position gains or loses for a single 1 bps move in rates. For a simple notional, DV01 = notional x 0.0001. On a $1,000,000 bond position DV01 = $100. Traders use DV01 to size hedges: if your bond portfolio has a DV01 of $5,000 and you want to hedge it with Treasury futures that have a DV01 of $50 per contract, you need to sell 100 contracts.
What does it mean when the Fed raises rates by 25 basis points?
A 25 basis-point increase means the target interest rate goes up by 0.25 percentage points. If the federal funds rate was at 5.25%, a 25 bps hike brings it to 5.50%. Central banks use basis points to communicate changes precisely and avoid any ambiguity between "a quarter percent" and "a quarter of the current rate."
What is the difference between a basis point and a percentage point?
A percentage point is a change of 1% (for example, from 4% to 5%). A basis point is one hundredth of that, equal to 0.01%. So a 1 percentage-point change equals 100 basis points. The distinction matters when discussing whether a rate moved by one percent of its value versus one full unit on the percentage scale.
What is one basis point in dollars on one million dollars?
One basis point on $1,000,000 equals $100 (0.0001 x $1,000,000 = $100). This is the DV01 for a $1M notional. It is a useful benchmark: 25 bps on $1M = $2,500, and 100 bps on $1M = $10,000.
Can basis points be negative?
Yes. A negative basis-point figure represents a rate decrease or a negative spread. For example, if a bond yield falls by 30 bps, the yield change is -30 bps. This calculator accepts negative values in all modes so you can model rate cuts as well as hikes.