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Basis Point Calculator
Convert basis points to percentage, decimal, or dollar value in one click. Understand interest rate moves, loan fee changes, and bond spreads.

Enter Your Values

Enter BPS to convert to % and decimal
Enter % to convert back to BPS
Loan, bond, or investment size — used to calculate dollar value of BPS
e.g. current mortgage or bond rate
Try an example

Your Results

Enter basis points or a percentage and hit Calculate to see your full conversion breakdown.

Basis Points Entered
BPS
CONVERSION RESULTS
Percentage
Decimal
Formula used:
1 BPS = 0.01% = 0.0001

BPS vs Percentage Visual

Rate Curve at Selected BPS

BPS Quick Reference Table

Common basis point conversions at a glance. 1 BPS always equals 0.01%.

Basis Points Percentage Decimal
1 BPS0.01%0.0001
5 BPS0.05%0.0005
10 BPS0.10%0.0010
25 BPS0.25%0.0025
50 BPS0.50%0.0050
75 BPS0.75%0.0075
100 BPS1.00%0.0100
150 BPS1.50%0.0150
200 BPS2.00%0.0200
300 BPS3.00%0.0300
500 BPS5.00%0.0500

What Is a Basis Point?

A basis point (BPS) is one one-hundredth of a percentage point. The simple math: 1 BPS = 0.01% = 0.0001.

Finance professionals prefer basis points because small rate changes can be confusing in plain percentage language. If someone says "the rate went up 0.25%," it is unclear — they could mean 0.25 percentage points, or 25% of the existing rate. Saying "25 basis points" removes that confusion completely.

You will see basis points used in:

  • Federal Reserve rate decisions (e.g. "the Fed raised 50 BPS")
  • Mortgage and home loan rate quotes
  • Bond spreads and yield differences — and related strategies like a put option hedge
  • Fund management and advisory fees
  • Foreign exchange and currency markets

Dollar Value of Basis Points

The annual dollar value of 1 BPS on any loan or investment equals:

Dollar Value = Principal × 0.0001

Examples for a single basis point:

  • $10,000 loan → $1.00 / year
  • $100,000 mortgage → $10.00 / year
  • $500,000 home loan → $50.00 / year
  • $1,000,000 bond → $100.00 / year

When comparing loan offers, a difference of 25 BPS on a $400,000 mortgage means $1,000 per year. Small BPS moves add up on large principals. To see how a rate change affects your overall gain, use the percentage return calculator.

How to Use This Calculator

Step 1 — Enter BPS or %: Type a number in either the Basis Points or Percentage field. The calculator converts both directions. You do not need to fill in both.

Step 2 — Add a principal (optional): If you want to see the dollar impact, enter your loan amount, bond face value, or investment size. The calculator will show the annual interest value of your BPS.

Step 3 — Add a starting rate (optional): Enter your current rate (e.g. 6.50%) to see what the new rate becomes after the BPS change.

Step 4 — Click Calculate: Your results appear instantly — percentage, decimal, dollar value, and new rate. Charts appear after your first calculation.

Quick Calculator Settings
Auto-Calculate Recalculate as you type
Show Charts Auto-reveal charts after calculate
Show Formula Box Formula breakdown below results
Show Examples 6 quick-fill buttons in input card
Always Show Dollar Row Keep dollar value visible always
Always Show Rate Row Keep new rate row visible always
Compact Results Tighter spacing in results card
Highlight Result Rows Accent color on key result rows
Decimal Precision Digits shown in results (2–8)
BPS Step Size Increment for BPS input (1–100)
Principal Quick-Set ($K) Set principal amount in thousands
Starting Rate (%) Quick-set the starting interest rate

Full BPS to Percentage Conversion Chart

Every common basis point value with its percentage and decimal equivalent.

Basis Points (BPS) Percentage (%) Decimal Fraction Common Usage

Formula: BPS ÷ 100 = Percentage. BPS ÷ 10,000 = Decimal. These relationships are universal in global finance.

Annual Dollar Value of Basis Points by Principal

How much money each BPS move costs (or earns) per year at different principal sizes.

Principal 1 BPS / yr 5 BPS / yr 10 BPS / yr 25 BPS / yr 50 BPS / yr 100 BPS / yr

Formula: Principal × (BPS ÷ 10,000). Shown in $. Useful for comparing mortgage offers, loan fees, and investment costs.

New Rate After BPS Changes — Common Starting Rates

Starting from popular benchmark rates, what does adding or removing basis points produce?

Starting Rate +25 BPS +50 BPS +75 BPS +100 BPS −25 BPS −50 BPS

All rates shown as percentages. Add BPS ÷ 100 to the starting rate. Common for central bank decisions, mortgage re-pricing, and loan adjustments.

Central Bank Rate Move Sizes — Global Reference

Standard and historical basis point increments used by major central banks worldwide.

Central Bank Country / Region Standard Move Large Move Notable BPS History Rate Name
🇺🇸 Federal ReserveUSA25 BPS50–75 BPS75 BPS hikes in 2022Federal Funds Rate
🇬🇧 Bank of EnglandUK25 BPS50 BPS50 BPS in 2023Bank Rate
🇪🇺 ECBEurozone25 BPS50–75 BPS75 BPS in Oct 2022Main Refinancing Rate
🇨🇦 Bank of CanadaCanada25 BPS50–100 BPS100 BPS in Jul 2022Overnight Rate
🇦🇺 RBAAustralia25 BPS50 BPSMultiple 50 BPS in 2022Cash Rate Target
🇳🇿 RBNZNew Zealand25 BPS50–75 BPS75 BPS in Nov 2022Official Cash Rate
🇯🇵 Bank of JapanJapan10 BPS25 BPSHistorically small movesPolicy Rate
🇨🇳 PBOCChina5–10 BPS25 BPSSmall targeted cutsLoan Prime Rate
🇮🇳 RBIIndia25 BPS50 BPS50 BPS hikes in 2022Repo Rate
🇧🇷 BCBBrazil25–50 BPS100–150 BPSAggressive cycle 2021–22Selic Rate
🇿🇦 SARBSouth Africa25 BPS50–75 BPS75 BPS in Sep 2022Repo Rate

Data is for educational reference. Central bank rates change regularly — verify current figures on official bank websites.

Basis Points in Common Loan & Investment Fees

How BPS is used to express origination fees, fund expense ratios, and advisory costs.

Fee Type Typical BPS Range As Percentage On $100K On $500K Context

Shown in $. Typical fee ranges are illustrative — actual fees vary by lender, fund, and adviser. Always read the full disclosure.