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Percentages, percentage points and basis points explained

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A percentage expresses a share or a relative change. A percentage point measures the difference between two figures already expressed as percentages. Confusing them changes a financial headline’s meaning.

percentage pointsbasis pointspercentages

One change, two correct descriptions

A hypothetical interest rate rises from 5% to 6%. The difference is one percentage point. Its relative increase is (6 / 5 − 1) × 100, or 20%. Both are correct when properly labelled. Saying the rate rose by 1% does not accurately describe that move.

A rate moves from 5% to 6%
MeasurementChange
Percentage points+1 pp
Basis points+100 bp
Relative increase+20%

What a basis point means

One basis point equals 0.01 percentage points. A rate cut from 6.50% to 6.25% is therefore 0.25 percentage points, or 25 basis points. Basis points conveniently describe small changes in rates and yields. One basis point is not one percent of the original interest rate.

Shares work the same way

If the foreign-currency deposit share rises from 30% to 33%, it increases by three percentage points, or 10% relative to its old share. That does not necessarily mean foreign-currency balances rose 10%; total deposits may also have changed. Check both numerator and denominator amounts.

Rises and falls are not symmetric

A price of AZN 100 becomes AZN 120 after a 20% increase. A subsequent 20% fall gives AZN 96, not 100, because the second change uses a different base. Successive price or return percentages cannot simply be added like amounts of money.

Writing and reading a headline

For a rate decision, show old and new levels and the change in points. Revenue and volume usually call for relative percentage growth and, where useful, the absolute amount. Ordinary percentage growth is undefined from a zero base. FinFly chart labels should preserve these distinctions even when shortened.

Short answers

How many basis points are 0.5 percentage points?

50 basis points.

Does inflation falling from 6% to 5% mean prices fell 1%?

No. The annual rate fell by one percentage point. With positive inflation, the price level is still rising.

Primary sources

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