Irish Calculators
Banking

Basis Points to Percentage Points Calculator

Translate a financial rate change between basis points and percentage points. The balance illustration is simple arithmetic, not a repayment schedule or a relative percentage change.

Runs privately in your browserMethod reviewed

Your numbers

%
Display currency only. Convert all inputs to this currency before calculation.
Your figures stay on this device.
Download basis points spreadsheet template (CSV) ↗

How the calculation works

Basis points describe absolute differences between financial rates. They are useful because a percentage-point change and a percentage change relative to the starting rate can sound similar while representing different calculations.

1 basis point = 0.01 percentage points = 0.0001 as a decimal rate. Amount change = balance × basis points ÷ 10,000.

  1. Convert the change to one common unit

    One basis point is one hundredth of a percentage point. Positive values increase the rate; negative values decrease it.

  2. Apply the change to the starting rate

    Add the percentage-point change directly. There is no multiplication by the old percentage because the change is absolute, not relative.

  3. Illustrate the cash difference

    Multiply a constant balance by the basis-point change divided by 10,000. This shows the simple annual amount change under an unchanged balance assumption.

Worked example: Check New annual rate

Sample inputs demonstrate the method. They are not a forecast or product offer.

The first example adds 25 basis points to a 2% annual rate. Since 25 basis points is 0.25 percentage points, the new rate is 2.25%; on the entered constant 10,000 balance the simple annual difference is 25.

Input unit
Basis points
Rate change
25
Starting annual rate (%)
2
Illustrative balance
10000
Currency for all amounts
Euro (EUR)

Expected result

New annual rate
2.25%
Worked example: Check Basis points

Sample inputs demonstrate the method. They are not a forecast or product offer.

Input unit
Percentage points
Rate change
-0.5
Starting annual rate (%)
3
Illustrative balance
10000
Currency for all amounts
Euro (EUR)

Expected result

Basis points
-50

Understanding your result

The new rate can be compared with a quotation expressed on the same basis. Converting basis points does not convert nominal, effective or continuously compounded rates.

The illustrative amount is not the change in a monthly mortgage payment. Repayment amounts also depend on the remaining balance, term and amortisation method.

Questions you might have

What does the result include?

Convert a financial rate change between basis points and percentage points, and apply it to a rate and balance.

Which limits should I check?

A percentage-point change is different from a relative percentage change.

Choosing the right inputs

Input unit
Choose basis points or percentage points according to the change you already know. A value of 25 basis points means 0.25 percentage points.
Starting annual rate
Enter the starting annual percentage rate, not a decimal fraction. The calculated change is added to this rate.
Illustrative balance
This balance supports a simple one-year illustration only. It does not represent a changing loan balance or a bond-price calculation.

Common mistakes to avoid

  • Do not read a rise from 2% to 2.25% as a 25% rate rise.
  • The provided spreadsheet download is a CSV formula template, not a native Excel workbook.

Assumptions to check

  • A percentage-point change is different from a relative percentage change.
  • All calculations run on your device. Figures are scenarios based on your inputs, not investment recommendations.

Sources and method

Read our calculation and testing approach.