BPS Calculator - Basis Points Calculator & Converter
Free BPS calculator to convert between basis points, percentages, and decimals. Calculate financial impact and analyze interest rate changes with ourbasis points converter.
Last updated: December 15, 2024
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1 basis point = 0.01% = 0.0001 decimal
BPS Calculator Types & Features
Conversion formula
BPS ÷ 100 = %
Convert any number of basis points to percentage format
Conversion formula
% × 100 = BPS
Convert percentage values to basis points for financial analysis
Conversion formula
BPS ÷ 10,000 = Decimal
Convert basis points to decimal format for mathematical operations
Impact calculation
Amount × (BPS ÷ 10,000)
Shows financial impact on various principal amounts
Rate change analysis
Rate Change × 100 = BPS
Analyze interest rate changes in basis points
Yield spread analysis
Spread × 100 = BPS
Calculate bond yield spreads over benchmarks
Quick Example Result
For 50 basis points conversion:
Basis Points
50 bps
Percentage
0.5%
Decimal
0.005
How Our BPS Calculator Works
Our BPS calculator uses simple mathematical formulas to convert between basis points, percentages, and decimals. The calculation applies financial mathematics principles to provide accurate conversions and financial impact analysis for various investment and lending scenarios.
BPS Conversion Formulas
BPS to Percentage: BPS ÷ 100 = %
Percentage to BPS: % × 100 = BPS
BPS to Decimal: BPS ÷ 10,000 = Decimal
Decimal to BPS: Decimal × 10,000 = BPS
These formulas are based on the fundamental relationship: 1 basis point = 0.01% = 0.0001 decimal. The calculator handles all conversion directions and provides financial impact analysis.
Shows the relationship between BPS, percentages, and decimals
Mathematical Foundation
Basis points are a standardized unit of measurement in finance, representing 1/100th of 1%. This precision makes them ideal for describing small changes in interest rates, bond yields, and other financial metrics where percentage changes might be too large or imprecise.
- 1 basis point = 0.01% = 0.0001 decimal
- 100 basis points = 1% = 0.01 decimal
- 1,000 basis points = 10% = 0.1 decimal
- Financial impact = Principal × (BPS ÷ 10,000)
- Used for interest rate changes, bond spreads, and fee calculations
- Provides precision for small financial adjustments
Sources & References
- Federal Reserve Bank - Interest Rate Policy and Basis PointsOfficial guidance on interest rate changes and basis point usage
- Securities and Exchange Commission - Financial Reporting and Basis PointsRegulatory guidance on basis point reporting in financial statements
- Investopedia - Basis Points (BPS) Definition and ExamplesComprehensive guide to basis points in financial markets
Need help with other financial calculations? Check out our percentage calculator and mortgage recast calculator.
Get Custom Calculator for Your PlatformBPS Calculator Examples
Conversion Steps:
- Input: 75 basis points
- To Percentage: 75 ÷ 100 = 0.75%
- To Decimal: 75 ÷ 10,000 = 0.0075
- Verification: 0.75% = 0.0075 decimal ✓
Financial Impact:
- On $10,000: $10,000 × 0.0075 = $75
- On $100,000: $100,000 × 0.0075 = $750
- On $1,000,000: $1,000,000 × 0.0075 = $7,500
- Annual Impact: 0.75% per year
Result: 75 basis points = 0.75% = 0.0075 decimal
This represents a 0.75% change in interest rates, fees, or yields.
Mortgage Rate Change
Rate increased by 25 bps
25 bps = 0.25% = $250 per $100k annually
Investment Fee
Management fee of 150 bps
150 bps = 1.5% = $1,500 per $100k annually
Frequently Asked Questions
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