Basis Points Converter
Convert between basis points (bps), percentage (%), and decimal rates in seconds. Enter one value and click the matching conversion button.
Rate Change Difference Calculator
Useful for comparing two rates (for example, from 4.75% to 5.00%).
How to use this basis points conversion calculator
Basis points are tiny units used in finance to describe rate changes with precision. This calculator helps you quickly convert among bps, percentages, and decimal rates without manual math.
- Type a value in one of the three fields: bps, percent, or decimal.
- Click the matching conversion button.
- Optionally enter an amount to estimate a one-year simple interest impact.
- Use the second calculator to find the exact difference between two rates.
What is a basis point?
A basis point (bp or bps) is one-hundredth of one percentage point. Finance professionals use it because saying “25 basis points” is clearer than saying “0.25%,” especially when discussing small rate movements.
- 1 bps = 0.01%
- 10 bps = 0.10%
- 25 bps = 0.25%
- 50 bps = 0.50%
- 100 bps = 1.00%
Core conversion formulas
- Percent = Basis points ÷ 100
- Basis points = Percent × 100
- Decimal = Basis points ÷ 10,000
- Basis points = Decimal × 10,000
Why basis points matter in investing and lending
Small rate changes can produce large dollar effects when balances are big. That is why bps are heavily used in:
- Central bank policy: A 25 bps hike often moves borrowing costs across the economy.
- Bonds and fixed income: Yield shifts are usually quoted in bps day-to-day.
- Mortgages and loans: Even a 30–50 bps difference can materially change monthly payments.
- Asset management fees: Expense ratios are frequently discussed in bps.
- Credit spreads: Corporate bond risk premiums are tracked in basis points.
Practical examples
Example 1: Fed raises rates by 25 bps
A 25 bps increase means rates moved by 0.25 percentage points. If a rate went from 5.00% to 5.25%, that is exactly +25 bps.
Example 2: Portfolio fee of 65 bps
65 bps equals 0.65%. On a $200,000 portfolio, that fee is about $1,300 per year (0.0065 × 200,000).
Example 3: Mortgage quote changes by 40 bps
If your offered mortgage rate drops from 6.80% to 6.40%, that’s a 40 bps decline. Over a long loan term, that reduction can translate to meaningful savings.
Common mistakes to avoid
- Confusing bps with percentage change: A move from 2% to 3% is 100 bps, but it is a 50% relative increase.
- Mixing decimal and percent formats: 0.05 as a decimal is 5%, not 0.05%.
- Forgetting scale: 1 bps is 0.0001 in decimal form, not 0.001.
Quick FAQ
How many basis points are in 1%?
There are 100 basis points in 1 percentage point.
Is 0.5% equal to 5 bps or 50 bps?
0.5% equals 50 bps.
Why not just use percentages?
Basis points reduce ambiguity and improve precision when discussing very small changes in interest rates, yields, fees, and spreads.
Bottom line: If you work with rates, understanding basis points is essential. Use the calculator above to convert quickly and avoid costly interpretation errors.