Macroeconomics

Yield Curve & Term Spread Calculator

Compare maturity nodes with matched date, issuer, currency and yield conventions; calculate 10Y−2Y in percentage points and basis points.

User inputs or hypothetical examples · Consistent units and periods · Local calculation

Inputs

More data settings

A basic comparison assumes comparable maturities. For observed data, record the date, issuer, currency and yield type here.

Results

Start with your numbers

Review or adjust your inputs, then calculate to see your results and interpretation.

Understand this calculation

A positive spread means ten-year exceeds two-year, zero means equality, and negative means inversion between these nodes; other maturities can still have different shapes.

See calculation method and assumptions

Formula

Yield Curve & Term Spread

Ten-year minus two-year spread

Percentage points to basis points

A yield curve places comparable debt yields against their different maturities. The ten-year minus two-year spread measures the relative level between those two maturities.

Variables, rates and periods

y2
Two-year yield (percentage number)
y10
Ten-year yield (percentage number)
spp
10Y−2Y, percentage points
sbps
10Y−2Y, basis points
Units
Yields are percentage numbers: 4.2 means 4.2%. Their difference is percentage points; 1 pp equals 100 bps.

Upward, flat and inverted

  • An upward slope has higher yields at longer maturities;
  • flat means similar yields across the compared maturities;
  • inversion has lower yields at longer maturities over a segment.
  • 10Y−2Y summarizes one segment rather than the entire curve.
  • US Treasury constant-maturity data use a dedicated estimation method;
  • connecting a few hypothetical nodes does not reproduce the complete market curve or tradable quotes.

Why can long yields fall below short yields?

  • Long yields relate to expected future short rates and term premiums.
  • Expected future policy easing can pull long yields below high current short yields.
  • Inflation uncertainty, demand and supply for long assets, and risk preferences can change term premiums.
  • Several forces act together;
  • inversion is not the mechanical result of one cause.

A historical signal is not a recession guarantee

  • Several US term spreads have historically been associated with subsequent recessions, with research using different short maturities and observation windows.
  • Negative 10Y−2Y establishes inversion between those nodes, not an inevitable recession or a precise date.
  • Policy, term premiums and sample periods can change the signal.
  • This interaction estimates no recession probability.

One bond's price versus yields across maturities

  • A fixed-cash-flow bond's price generally moves inversely with its own yield;
  • a curve instead compares maturities at one time.
  • Inversion does not mean all bond prices are falling.
  • YTM summarizes cash-flow discounting, and duration describes a bond's price sensitivity to yield changes, complementing this maturity comparison.

Compare maturity nodes with matched date, issuer, currency and yield conventions; calculate 10Y−2Y in percentage points and basis points.

Worked example

  1. Match date, issuer, currency and yield conventions before entering four nodes.
  2. Subtract 2Y 4.2 from 10Y 3.8 for −0.4 pp.
  3. One percentage point is 100 bps, giving −40 bps; the connecting lines are illustrative only.

Frequently asked questions

Can I mix dates or corporate bonds?

Not as one comparable government curve: dates, issuer credit risk, currencies and yield conventions can create differences.

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