๐Ÿ’ฐ Finance calculator

Basis Points Calculator

Convert basis points to percent, percent to basis points, calculate how many basis points separate two rates, or apply a BPS adjustment to any rate. Four calculation modes in one tool โ€” with plain-English explanations of every result.

Choose a calculation mode

Select the mode that matches what you need to calculate, enter your values, and click Calculate.

1 BPS = 0.01%
1% = 100 BPS

Quick reference

1 BPS = 0.01%
10 BPS = 0.10%
25 BPS = 0.25%
50 BPS = 0.50%
100 BPS = 1.00%

Common uses

Fed rate decisions (25 or 50 BPS), mortgage rate comparisons, loan spread analysis, CD and bond yield differences, pricing adjustments.

Tip: basis points eliminate ambiguity. Saying a rate rose 50 basis points is clearer than saying it rose 0.5% โ€” especially when talking about rates that are already expressed as percentages.
This calculator is for educational and reference purposes only. Actual rate changes in financial products depend on market conditions and lender policies.

What is a basis point?

A basis point (BPS) is a unit of measurement equal to one hundredth of one percentage point โ€” or 0.01%. It is the standard unit used in finance to describe changes in interest rates, bond yields, equity returns, and other percentage-based metrics.

Basis points exist to eliminate ambiguity. If someone says "the rate increased by 1%", it is unclear whether the rate went from 5% to 6% (a 1 percentage point increase) or from 5% to 5.05% (a 1% relative increase). Saying it rose 100 basis points means unambiguously that it went from 5.00% to 6.00%.

Basis points formulas

BPS to percent: % = BPS รท 100
Percent to BPS: BPS = % ร— 100
Rate change in BPS: BPS = (New rate โˆ’ Old rate) ร— 100
Apply BPS to a rate: New rate = Current rate + (BPS รท 100)

Examples:

125 BPS = 125 รท 100 = 1.25%
3.75% = 3.75 ร— 100 = 375 BPS
Rate rising from 4.50% to 5.00% = (5.00 โˆ’ 4.50) ร— 100 = +50 BPS
5.25% + 25 BPS = 5.25 + 0.25 = 5.50%

How to use this basis points calculator

  1. BPS โ†’ %: Enter a number of basis points to convert it to a percentage.
  2. % โ†’ BPS: Enter a percentage to convert it to basis points.
  3. Rate change in BPS: Enter two rates to find how many BPS separate them.
  4. Apply BPS to rate: Enter a current rate and a BPS adjustment to get the new rate. Use a negative number to subtract BPS.

Common basis point values

1 BPS = 0.01% ยท 5 BPS = 0.05% ยท 10 BPS = 0.10%
25 BPS = 0.25% (typical small Fed move)
50 BPS = 0.50% (typical moderate Fed move)
75 BPS = 0.75% (large Fed move, seen in 2022)
100 BPS = 1.00% ยท 200 BPS = 2.00% ยท 500 BPS = 5.00%

The Federal Reserve announces rate changes in multiples of 25 BPS. A "25 basis point cut" means rates drop by 0.25 percentage points. On a $300,000 mortgage, that translates to roughly $45 per month in interest savings.

Frequently asked questions

What is one basis point?

One basis point equals 0.01%, or one hundredth of one percent. There are 100 basis points in 1%, and 10,000 basis points in 100%.

How many basis points are in 1%?

There are exactly 100 basis points in 1%. To convert percent to basis points, multiply by 100. To convert basis points to percent, divide by 100.

Why do finance professionals use basis points instead of percentages?

Basis points eliminate ambiguity. When rates are already expressed as percentages, saying something "increased 1%" is unclear โ€” it could mean a 1 percentage point increase or a 1% relative increase. Basis points are always absolute, so "up 100 BPS" always means a 1 percentage point increase with no ambiguity.

How much is 25 basis points on a mortgage?

On a $300,000 mortgage at 6.50% over 30 years, a 25 BPS (0.25%) rate reduction to 6.25% reduces the monthly payment by approximately $48. Over the life of the loan, that saves roughly $17,000 in total interest.

What does it mean when the Fed cuts rates by 50 basis points?

A 50 BPS cut means the federal funds rate drops by 0.50 percentage points โ€” for example, from 5.25% to 4.75%. This typically flows through to variable-rate loans, HELOCs, savings accounts, and eventually fixed mortgage rates, though timing varies.

Related finance calculators

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Disclaimer

This basis points calculator is for educational and reference purposes only. Rate changes in financial products depend on market conditions, lender policies, and individual loan terms. Consult a licensed financial advisor before making decisions based on rate comparisons.