Basis Point Calculator

Article — Basis Point Calculator

Basis Point Calculator: Convert Basis Points to Percent (and Back)

One basis point equals 0.01%, or 1/10,000. One hundred basis points equal exactly one percentage point. The unit lets the Federal Reserve, bond traders, and lenders describe small rate changes without the ambiguity that comes with the word "percent."

You hear the unit constantly in financial news. The Fed raised rates by 75 bps. Mortgage spreads widened 30 bps. The corporate-bond index rallied 12 bps. Every one of those phrases describes a tiny but consequential move that compounds into real dollars across trillions of dollars of debt.

What is a basis point?

A basis point (bp, sometimes spelled "bps" in the plural) is one one-hundredth of a percentage point. Mathematically, 1 bp = 0.01% = 0.0001. It exists because percentages alone are confusing when the changes themselves are fractions of a percent. If a bond yield moves "from 4% to 4.25%," is that a 0.25% relative change or a 25-bps absolute change? The basis-point convention removes the doubt: a move from 4% to 4.25% is +25 bps, always, and never anything else.

The term emerged from US fixed-income trading desks in the mid-20th century, where bond yields were quoted to four decimal places and traders needed shorthand for the smallest tick. By the 1980s the Federal Reserve had adopted basis-point language in its FOMC statements, and today every major central bank — the ECB, Bank of England, Bank of Japan — uses the same convention.

Basis point conversion math

The conversion is a single division or multiplication by 100. To go from basis points to percent, divide by 100. To go from percent to basis points, multiply by 100. The mental shortcut is to shift the decimal point two places.

The calculator above does this both ways simultaneously. Type a value into either field and the other updates automatically. Adjust precision when you need more decimal places — bond traders often work to one bp (two decimals on the percent side) but actuaries and pricing analysts go to four decimals or beyond.

Fed basis points and rate moves

The Federal Reserve announces every Federal Open Market Committee (FOMC) decision in basis points. A standard rate move is 25 bps. A larger step is 50 bps. The Fed used 75 bps four times in 2022 — the largest sustained pace of tightening since Paul Volcker's anti-inflation campaign in the early 1980s. Across the full 2022 cycle the Fed lifted the federal funds rate by 425 bps, from a 0–0.25% range to 4.25–4.50%.

Why basis points instead of percentages? Because the federal funds rate is itself a percentage, and percentage changes of percentages create confusion. Saying "the rate rose 25%" might mean from 4% to 5% or from 4% to 4.25%. Saying "the rate rose 25 bps" can only mean one thing: +0.25 percentage points absolute. The Fed has used the convention in every FOMC statement since the late 1970s.

Basis points on mortgages and loans

Lenders quote mortgage and consumer-loan rates with basis-point precision. A 30-year fixed mortgage might be 6.875% today and 6.95% tomorrow — a 7.5-bp move. Lender margins (the spread above the index they use to price the loan) are also in basis points: a HELOC priced at "prime + 50 bps" means the rate equals the prime rate plus 0.50 percentage points.

The dollar impact scales with loan size. On a $300,000 30-year mortgage at 7%, raising the rate by 25 bps to 7.25% adds roughly $50 per month, $600 per year, and around $18,000 across the full term. On a $1 million jumbo mortgage, that same 25-bp move adds about $170 per month. The basis-point unit lets borrowers and lenders compare rate quotes apples to apples regardless of how big or small the loan is.

Basis points in bond spreads

In the bond market, a "spread" is the yield difference between two bonds, almost always quoted in basis points. The most common reference is the spread over a comparable US Treasury. Investment-grade corporate bonds typically trade 80–200 bps over Treasuries; high-yield (junk) bonds trade 300–800 bps over; distressed credits can spread 1,000+ bps over (a yield premium of 10 percentage points or more).

Bond spreads compress and widen with the credit cycle. During the 2008 financial crisis, the ICE BofA US High Yield Index spread blew out to roughly 2,000 bps above Treasuries. By 2024 the same spread had tightened to under 300 bps. Each 100-bp change in spreads moves trillions of dollars of bond-market wealth.

• 1 bp = 0.01% = 1/10,000 (the foundational definition)
• 100 bps = 1 full percentage point
• 25 bps = standard Federal Reserve rate move
• 75 bps = used four times in the 2022 tightening cycle
• 425 bps = total Fed funds rate increase across 2022
• 200 bps = typical investment-grade corporate-bond spread over Treasuries
• 500-800 bps = typical high-yield (junk) bond spread
• BPV = dollar value of a 1-bp move on a given balance

Basis point value (BPV) explained

Basis point value, or BPV (also called PVBP or DV01), is the dollar change in a fixed-income position when yields move by 1 bp. For a simple loan, BPV is just the loan balance times 0.0001 — a $1,000,000 loan has a BPV of $100 per year. For a bond portfolio, BPV also accounts for duration: BPV = portfolio value × modified duration × 0.0001.

A pension fund holding $10 billion of investment-grade corporate bonds with modified duration of 7 years has a BPV of $7 million. A 25-bp parallel shift in yields moves the portfolio's mark-to-market value by $7,000,000 × 25 = $175 million. That sensitivity is why fixed-income managers obsess over basis points — the dollar stakes on small rate moves are enormous.

Basis points vs. discount points

Mortgage borrowers often confuse basis points with discount points. They are different units. A discount point equals 1% of the loan amount, paid upfront at closing, to buy down the interest rate. A basis point is 1/100 of one percent of the rate itself. The two units measure different things — one is an upfront fee, the other is an interest-rate increment — but they intersect in lender rate sheets.

A typical lender might offer "1 point for 25 bps." Paying $3,000 upfront on a $300,000 loan (one discount point) buys the rate down from, say, 7.25% to 7.00% (a 25-bp reduction). Whether that trade makes sense depends on how long you hold the loan: the breakeven is usually 4–7 years.

Common basis-point mistakes

The most frequent error is treating "1 bp" as "1%." A bp is one-hundredth of a percentage point, not one percent. The second error is the opposite: assuming small bp moves are too tiny to matter. On a $5 million commercial loan, a 50-bp rate change moves annual interest by $25,000.

The third trap is mixing BPV with actual gains or losses. BPV measures sensitivity, not realized change. A portfolio with a BPV of $5,000 will move roughly $125,000 on a 25-bp parallel yield shift — but the actual mark-to-market change can differ because of convexity (the curvature of the price-yield relationship) and because real yield-curve moves are rarely perfectly parallel.