Basis Point Calculator — Convert bps, % and Decimal
Convert basis points to percent and decimal, then apply a bps change to a dollar value to see the exact impact on rates, fees, and balances.
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Full bio →Convert: Basis Points ↔ Percentage ↔ Decimal
Apply a Basis Point Change to a Value
Change in value = Base value × (basis points ÷ 10,000). Use this to see the actual dollar impact of a rate move, expense-ratio change, or fee adjustment on a specific balance — a "small" bps number can still mean real money on a large enough base.
A basis point (bp, sometimes "bip") is one hundredth of one percentage point. Finance professionals use bps instead of percentages when precision matters, because "the rate rose half a percent" is ambiguous (half a percentage point, or a 50% relative increase?) while "the rate rose 50 basis points" is not.
Reference Values
Last verified:| Category | Range | What It Means | Status |
|---|---|---|---|
| 1 basis point (bp) ★ | 0.01% = 0.0001 decimal | **The base unit.** One basis point is one hundredth of one percent — the smallest unit finance professionals typically quote rate and fee changes in. | ★ Best |
| 100 basis points | 1.00% = 0.01 decimal | 100 bps always equals exactly 1 percentage point — the most common bps-to-percent anchor to remember. | Good |
| bps → percentage | bps ÷ 100 | Divide the basis-point figure by 100 to get the equivalent percentage. | Good |
| percentage → bps | % × 100 | Multiply a percentage by 100 to get the equivalent basis points. | Good |
| bps → decimal | bps ÷ 10,000 | Divide by 10,000 to get the raw decimal used inside most finance formulas. | Good |
| Change in value formula ★ | Base value × (bps ÷ 10,000) | Applies a basis-point change to a dollar amount — used for rate moves, fee drags, and yield changes on a principal or fund balance. | ★ Best |
| Fed rate decision example | 25 bps = 0.25% | The Federal Reserve almost always quotes federal funds rate changes in basis points (e.g., "raised rates by 25 basis points") rather than as a raw percentage. | Good |
| Mortgage rate move example | 50 bps = 0.50% | A mortgage rate moving from 2.5% to 3.0% is a 50 basis point increase — bps avoids the ambiguity of saying a rate rose "half a percent," which some readers misread as a 50% relative jump. | Okay |
| Fund fee precision example | 1 bp = 0.01% of assets | Expense ratios and management fees are quoted in bps because a fraction of a percent can represent a very large dollar amount on institutional-sized funds — a 10 bp fee difference is trivial to state but not trivial in dollars. | Poor |
Source: Basis point definition and conversion formulas per Wall Street Prep, "Basis Points (bps) Formula" (wallstreetprep.com) and Wikipedia, "Basis point" (en.wikipedia.org/wiki/Basis_point). Federal funds rate and mortgage rate usage conventions per standard financial press reporting practice.
Worked Examples
Fed Rate Decision in Basis Points
- Basis points
- 25 bps
25 ÷ 100 = 0.25%. The Federal Reserve almost always announces federal funds rate changes this way — "raised rates by 25 basis points" — because it's unambiguous at fractional-percent precision.
Percentage to Basis Points
- Percentage
- 3.25%
3.25 × 100 = 325 bps. Useful when a rate is quoted in percent but you need to compare it against a fee or spread quoted in bps.
Decimal to Basis Points
- Decimal rate
- 0.006
0.006 × 10,000 = 60 bps. Spreadsheet and pricing-model outputs are often raw decimals, so converting to bps makes the number easier to communicate.
Expense Ratio Cut on a Portfolio
- Base value
- $250,000
- Basis point change
- -15 bps
$250,000 × (15 ÷ 10,000) = $375. A 15 bp lower expense ratio looks tiny as a percentage but is a real, recurring dollar savings on a $250,000 portfolio.
Mortgage Balance Impact of a Rate Increase
- Base value
- $400,000
- Basis point change
- +50 bps
$400,000 × (50 ÷ 10,000) = $2,000. A 50 bp (0.50 percentage point) rate increase on a $400,000 mortgage balance adds $2,000 a year in interest cost — this is the same 2.5%-to-3.0% move used as the mortgage example above.
How to Use This Calculator
- 1
Pick your starting unit
Type into the Basis Points, Percentage, or Decimal box — whichever number you already have. The other two update instantly.
- 2
Read the converted values
All three fields always stay in sync: bps ÷ 100 = percent, and bps ÷ 10,000 = decimal.
- 3
Enter a base value and a bps change
In the "Apply a Basis Point Change to a Value" section, enter a dollar amount and a basis-point change (positive for an increase, negative for a decrease).
- 4
Read the dollar impact
The result shows the exact dollar change and the resulting new value — useful for seeing what a rate or fee move actually costs or saves on a real balance.
What Each Value Means
- Basis Point (bp / bps) (bps)
- A unit equal to one hundredth of one percent (0.01%), used to express small, precise changes in interest rates, yields, and fees without the ambiguity of relative percentages.
- Percentage (%) (%)
- A rate expressed as parts per hundred. Basis points and percentages describe the same underlying rate, just at different scales — 100 bps always equals 1%.
- Decimal Rate (decimal)
- The raw fractional form of a rate (percent ÷ 100, or bps ÷ 10,000), the form most financial formulas and spreadsheets actually calculate with internally.
- Dollar Change ($)
- The actual monetary impact of applying a basis-point rate change to a specific base value — calculated as Base value × (basis points ÷ 10,000).