Situations modeled by Basis Points
Interest rates, bond yields, fees, and central-bank announcements use basis points to state small rate movements without ambiguity.
Math calculator
Basis Points Calculator
Convert between percentage points and basis points without confusing relative percent change. The displayed converted change includes enough working to inspect signs and scale.
Basis Points inputs
Numerical setup
A numerical case for Basis Points
A move of 0.75 percentage point equals 75 basis points. Conversely, 25 basis points equals 0.25 percentage point.
Connecting Basis Points to its definition
One basis point equals 0.01 percentage point, so 100 basis points equal one percentage point. The unit describes an absolute difference between rates.
The roles assigned to change and convert from explain the operation that produces converted change.
Details to check in Basis Points
If the Basis Points result surprises you, return to the example and change change by itself.
A manual route through Basis Points
Multiply percentage points by 100 to obtain basis points. Divide basis points by 100 to return to percentage points.
Percentage points and percent change are not interchangeable. A rate rising from 2% to 3% gains one percentage point, or 100 basis points, but increases by 50% relative to its starting rate. If the Basis Points assumptions do not fit, consider percentage calculations.
Reading change against the Basis Points rule
Review Change inside the Basis Points relation. Hold Convert from steady while testing Convert from. A rough Converted change gives Basis Points an independent scale check. Keep the revised Basis Points inputs beside their own Converted change.
Describing a rate move clearly
Suppose a yield changes from 4.20% to 4.45%. The movement is 0.25 percentage point, or 25 basis points. Calling it a 0.25% increase would instead describe a much smaller relative change and would misstate the announcement.
A second verification of Basis Points
Reverse Basis Points through Convert from. Confirm that the reversed Basis Points step reproduces Change.
If Change was rounded, mark Convert from as an approximate Basis Points result. Keep the denominator or reference whole with Basis Points.
Cross-checking Basis Points
An independent estimate makes Basis Points easier to trust. Derive a rough Converted change from Change and Convert from, then compare its magnitude with the calculated Converted change. Large disagreement deserves attention before the Basis Points output is rounded or reused.
Reviewing Basis Points in context
Basis points and percentages describe the same rate change at different scales. For that connected step, see percentage changes.
Questions about Basis Points
How many basis points are in 1%?
There are 100 basis points in one percentage point.
Is 50 basis points the same as 50%?
No; it equals 0.50 percentage point.
Can a basis-point change be negative?
Yes, indicating a decrease.
Why use basis points?
They state small absolute rate changes clearly.
What is a percentage-point change?
It is the arithmetic difference between two percentages.