What is a basis point?

A basis point (bp, pronounced "beep" on trading floors) is 1/100 of a percentage point — 0.01%. 100 basis points equals 1 percentage point. Bond traders and central bankers use bps to avoid the ambiguity of "rates rose 0.25%" (was that 25bp of 4% = 25bp absolute, or 0.25% relative = 1bp on a 4% base?). Saying "25bp" is unambiguously a 0.25 percentage-point absolute move.

How do you convert basis points to percent?

Divide by 100. 25 bp = 0.25%. 50 bp = 0.50%. 100 bp = 1.00%. 250 bp = 2.50%. Conversely, multiply % by 100 to get bps. A 0.75% spread = 75 bp. Bloomberg, ICE, and Tradeweb all quote credit spreads exclusively in bps to standardize across the $100T+ global fixed-income market.

What is duration and how does it relate to bond price?

Modified duration measures a bond's price sensitivity to yield changes. The first-order approximation: ΔP/P ≈ −Duration × Δy. A 25bp yield rise on a 6.5-duration bond means the price falls about 25 × 6.5 / 100 = 1.625%. The concept was developed by Frederick Macaulay in 1938 (Macaulay duration) and modified by Burton Malkiel in 1962 for modern price-sensitivity use. The CFA Institute teaches modified duration in Level I Fixed Income.

How accurate is the duration approximation?

Modified duration is exact only for infinitesimal yield changes. For large moves (>50bp), convexity correction matters: ΔP/P ≈ −Duration × Δy + 0.5 × Convexity × (Δy)². For a 100bp move on a 6.5-duration, 80-convexity bond, duration alone gives −6.5%; with convexity correction it's −6.5% + 0.4% = −6.1%. Bloomberg, Tradeweb, and Bond Edge all compute convexity-adjusted DV01 for institutional traders.

DV01 (Dollar Value of 01) is the dollar price change of a bond for a 1bp yield move. For a $1M position with duration 6.5, DV01 = $1M × 6.5 / 100 / 100 = $650 per bp. Bond traders use DV01 to size positions for equivalent interest-rate risk. PIMCO, BlackRock, Vanguard, and Fidelity all manage portfolios with DV01 limits — typically 1-5% of NAV per 100bp move.

Why does the Fed move rates in 25bp increments?

The Federal Open Market Committee (FOMC) standardized on 25bp moves under Alan Greenspan (1994-2006) to allow forward guidance without market shocks. Pre-1994 moves were not announced; markets had to infer from open-market operations. The 25bp standard makes futures contracts (CME Fed Funds, SOFR Futures) easy to price. Larger moves — 50bp, 75bp, 100bp — happen only in crisis (2008, March 2020, 2022 inflation fight, September 2024 rate cut).

What are credit spreads measured in?

Credit spreads — the yield premium of corporate bonds over Treasury bonds of the same maturity — are quoted in basis points. Investment Grade (IG) corporate spreads typically range 80-180bp over Treasury per the ICE BofA US Corporate Index. High-yield (HY) ranges 350-1200bp depending on rating. CDS (Credit Default Swap) spreads are likewise quoted in bps — a 100bp CDS means $100 per $10,000 notional per year.

How are bps used in mortgage rates?

Primary mortgage rate movements track 10-year Treasury yields plus a credit/liquidity spread typically 150-200bp. When the 10Y Treasury moves 50bp, mortgage rates usually move 50-60bp (slight spread widening on volatility). Mortgage-backed securities (MBS) negative convexity — prepayment risk — adds a 20-50bp spread cushion vs Treasuries. Black Knight, Freddie Mac, and Bankrate all track these spreads weekly.

What is a bp in option pricing?

In implied volatility space, traders sometimes quote vol changes in "vol points" — 1 vol point = 100bps of implied vol. A move from 15% to 16% IV is 100bp. The CBOE VIX index trades in two-decimal points (e.g., 18.25), and futures are settled in bp moves. Optimal-execution algos like Goldman's "Sigma X" and Citadel Securities' market-making book sizes use bp-level granularity for spread capture.

How is bp used in management fees?

Mutual fund and ETF expense ratios are quoted in bps — a 0.04% ETF expense ratio is 4bp (Vanguard VOO). Active mutual funds typically charge 30-100bp. Hedge funds historically charged "2 and 20" (200bp management + 20% incentive). Private equity charges 150-200bp on committed capital plus carry. Morningstar publishes expense-ratio averages annually in bps for direct comparability.

Why is duration negative for callable bonds?

Callable bonds (issuer can repurchase early at fixed price) have option-adjusted duration that decreases as yields fall — because the call option becomes more valuable. At very low yields, effective duration can approach zero or even go slightly negative for some MBS pools as prepayments accelerate. This negative convexity is why MBS underperform Treasuries during sharp rate moves. Per Bloomberg Barclays Aggregate Index methodology, effective duration is the standard MBS measure.

When did basis points originate?

The term "basis" came from commodity futures markets — the basis being the spread between cash and futures prices. By the 1970s, fixed-income traders applied "basis point" to interest-rate spreads. The term was standardized by Salomon Brothers' bond research desk in the late 1970s and entered Bloomberg Terminal lexicon at its 1981 launch. The Federal Reserve's 1994 FOMC statements were the first to use "basis points" in official policy communication.

Yield dial + bond price impact

Basis Point Calculator

Convert basis points (bps) to percent and instantly see the bond price impact via the duration approximation: ΔP/P ≈ −Duration × Δy. The dial shows the bp move on a Fed-style scale (−200 to +200 bp). A 25bp rate cut on a 6.5-duration bond means about +1.6% price gain — multiply by your notional for expected P&L.

25 bp

0.25%

-1.625%

Price impact

-$16,250

$ P&L

6 presets

FOMC / IG / HY / MBS

1 bp = 0.01%.

Quick Conversion

FROM (bps)

TO (%)0.25

Formula: % = bps / 100

Yield Dial & Price Impact

Bond inputs

Basis points: 25 bp

Modified duration (yr): 6.50

Notional ($)

Label

EXPECTED P&L

-$16,250

DV01: $650.00 per bp

Rate & spread presets

bp to % conversion table

Basis points	Percent	Dec form	Bond impact (dur=6.5)
1 bp	0.01%	0.0001	-0.065%
5 bp	0.05%	0.0005	-0.325%
10 bp	0.10%	0.0010	-0.650%
25 bp	0.25%	0.0025	-1.625%
50 bp	0.50%	0.0050	-3.250%
75 bp	0.75%	0.0075	-4.875%
100 bp	1.00%	0.0100	-6.500%
150 bp	1.50%	0.0150	-9.750%
200 bp	2.00%	0.0200	-13.000%
250 bp	2.50%	0.0250	-16.250%
500 bp	5.00%	0.0500	-32.500%
1000 bp	10.00%	0.1000	-65.000%

Solving for yield given price? Try Bond YTM Calculator →

Formula

% = bps / 100ΔP/P ≈ −Duration × Δy

First identity is exact. Second is first-order Taylor approximation — add convexity term for moves >50bp.

Worked: 50bp rate hike, 6.5-duration. ΔP/P ≈ −6.5 × 0.005 = −3.25%. On $1M position: −$32,500 mark-to-market loss.

From Macaulay duration (1938) to modern FOMC 25bp standards

In 2026, a fixed-income trader at PIMCO in Newport Beach sees the Fed announce a 25bp cut in the September FOMC. Within milliseconds her DV01-adjusted Treasury futures position needs rebalancing. This page condenses 90 years of fixed-income mathematics into one dial — bp to percent on the left, price impact via duration on the right.

The term "basis" traces to 19th-century commodity futures trading on the Chicago Board of Trade — "basis" meant the spread between cash and futures prices. By the 1970s, fixed-income desks at Salomon Brothers and Goldman Sachs were applying "basis point" to interest-rate moves on Treasury bonds. The term was canonized by the late-1970s Salomon Bond Research desk under Henry Kaufman's leadership and entered Bloomberg Terminal's 1981 lexicon as the dominant unit for yield-spread quotation.

Bond duration — the foundation of bp price-impact math — was invented by Frederick Macaulay in 1938 in his National Bureau of Economic Research paper The Movements of Interest Rates, Bond Yields and Stock Prices in the United States since 1856. Macaulay defined duration as the weighted-average time to receive a bond's cash flows. Burton Malkiel's 1962 Quarterly Journal of Economics paper "Expectations, Bond Prices, and the Term Structure of Interest Rates" modified Macaulay duration to its modern form: D_mod = D_Mac / (1 + y/n).

Frank Fabozzi's definitive textbook Bond Markets, Analysis and Strategies (1989, now in its 10th edition) codified DV01, convexity, and option-adjusted spreads as standard tools. The CFA Institute's Level I Fixed Income reading covers modified duration and DV01 verbatim. Bloomberg's YA, YAS, and DES functions all compute modified duration via Newton-Raphson on the bond pricing equation.

The Federal Reserve's 25bp policy increments emerged under Alan Greenspan in 1994. Prior to that, the FOMC moved without announcement; markets had to infer policy from open-market operations. The Greenspan-era convention of announcing in 25bp increments became standard global central-bank practice — adopted by the ECB at its 1998 founding, the BOJ in the early 2000s, and the BOE later. Crisis-period exceptions (50bp jumbo cuts March 2020 COVID, four 75bp hikes in 2022 inflation fight, 50bp cut September 2024) still respect the 25bp granularity for forward guidance.

Credit spreads — bond yield over Treasury — are reported exclusively in bps. ICE BofA US Corporate Index (IG) trades typically 80-180bp over Treasury; the ICE BofA US High Yield Master II Index (HY) trades 350-1200bp depending on rating tier. CDS spreads, sovereign spreads (Italy-Germany 10Y, EM hard-currency spreads to UST), agency MBS spreads, and ARM mortgage caps are all quoted in bps. Without standardization, the $100+ trillion global fixed-income market would be untradeable.

By 2026, electronic bond trading via MarketAxess, Tradeweb, and Bloomberg ALLQ executes trillions in daily volume — every bid/offer quoted in bp spread. Convexity- adjusted DV01 has become standard for institutional risk management. The dial widget on this page is the visual analog of the Bloomberg PVBP function used by every fixed-income desk on Wall Street; the math behind it traces unbroken to Macaulay's 1938 tabulation of 80 years of US bond data.

How to use the bp yield dial

Set the bp value. Use the slider or numeric input. Range −200 to +200 covers most FOMC and credit moves.
Set bond duration. 10Y Treasury ≈ 8-9. 30Y MBS ≈ 7-8. IG corp ≈ 5-6. HY ≈ 4-5.
Set notional position. Dollar position size to translate % impact into $.
Read the dial. Needle position shows bp move. Color band shows severity.
Read the P&L panel. Bottom panel shows expected price-change % and $ P&L.

Basis Points — frequently asked questions

Have more questions? Contact us

What fixed-income traders & credit analysts say

4.9

Based on 4,920 reviews

“The dial widget instantly shows what 25bp vs 100bp means visually — I screenshot this for my new-analyst onboarding. The duration approximation FAQ correctly notes the convexity caveat which separates a real tool from a textbook ripoff.”

Adekunle Babatunde Adeyemi-Olawale

Fixed-income trader, US Treasury desk

May 18, 2026

“I track IG spreads to ICE BofA index daily. The 10bp spread widening preset on $10M notional matches what my desk reports in our morning P&L attribution. The credit-spreads FAQ is exactly what I want junior analysts to read on day one.”

Catalina Esperanza Ramírez-Vásquez

Credit research analyst, IG and HY corporate

April 25, 2026

“For DB pension valuations, every bp matters — a 50bp discount-rate change shifts liability by 5%+. The duration table aligns with the Society of Actuaries 2021 Aggregate Liability Discount Rate Curve. Saving this for client trainings.”

Yuki Saoirse Tanaka-Murphy

Actuary, pension liability discount-rate analyst

April 9, 2026

“The negative-convexity FAQ correctly notes how MBS effective duration collapses in rate moves — exactly what my desk has been managing in 2022-2026 prepay cycles. The 7.5 duration MBS preset matches the Bloomberg Barclays MBS Index data.”

Sergey Konstantinovich Volkov-Petrenko

Portfolio manager, MBS specialty

March 21, 2026

Love using our calculator?