Back

Learn yieldcurve.pro

Term Premium

The term premium is the compensation investors require for bearing the risks associated with holding a long-term bond instead of repeatedly rolling over short-term securities. It is not directly observable but can be estimated using term structure models.

A long-term yield can be decomposed into two parts:

  • Expected path of short rates: what the market expects the Fed funds rate to average over the bond's life
  • Term premium: everything else, including compensation for interest rate risk, inflation uncertainty, and supply/demand imbalances

The Adrian, Crump, and Moench (ACM) model, published by the Federal Reserve Bank of New York, is the most widely used term premium estimate. It decomposes Treasury yields into expectations and risk premium components using a no-arbitrage affine term structure model.

Term premiums can be negative, as they were for much of the 2010s during quantitative easing, when central bank purchases compressed the compensation for holding duration risk. Positive term premiums tend to emerge when inflation uncertainty rises, fiscal deficits expand, or the Fed is reducing its balance sheet.

Changes in the term premium drive long-term yields independently of expectations about short-term rates. This distinction matters for interpreting yield curve movements: a rising 10-year yield could reflect either higher expected policy rates or a rising term premium, with very different economic implications.

Why It Cannot Be Observed

The market shows one number where the theory needs two.

A 10 Yr yield of 4.00% is a fact. Whether that number is a 4.00% expected average policy rate with no premium, or a 3.50% expected path plus 50 bps of premium, is not a fact. Both decompositions produce the same observable yield. Only the sum trades.

This is why the term premium is always an estimate and never a quote. Anyone reporting a term premium has assumed something about the other half of the split.

Two ways of assuming it are in common use.

  • Survey based estimates take the expected policy path from a published survey of forecasters, then treat whatever is left over in the yield as the premium. The strength of this method is that it uses stated expectations rather than modeled ones. The weakness is that surveys are infrequent, cover few horizons, and reflect forecasters rather than the investors setting prices.
  • Term structure models fit the whole curve at once. They assume that a small number of factors drive every yield, that no arbitrage links the tenors together, and that the compensation for risk moves in a specified way. The ACM model is the most widely followed example.

What the Models Actually Do

An affine term structure model works from the shape of the entire curve rather than from any single yield.

It starts by extracting a few factors that explain nearly all the variation across tenors, usually a level factor, a slope factor, and a curvature factor. It then estimates how those factors have historically evolved, which produces the expected path of short rates. Applying no arbitrage gives the yield that path alone would justify. The gap between that yield and the observed yield is the term premium.

Two cautions follow from the method, and both are worth carrying.

The level is model dependent. Different models applied to the same curve on the same day can differ by 50 bps or more on the level of the premium. Treat any single estimate as one reading rather than a measurement.

The direction is more reliable than the level. Models tend to agree on whether the premium is rising or falling even when they disagree on where it sits. That makes the change in the estimate more useful than its value.

The estimate also depends on history. A model fitted through a long period of falling rates carries that experience into its expected path, which is one reason estimates were revised after the inflation of the early 2020s.

Reading a Change in Term Premium

The decomposition earns its keep when a long yield moves and you need to know why.

If the 10 Yr rises because the expected policy path rose, the market is saying the economy is stronger or inflation is higher than it thought. Policy is expected to respond. The front of the curve usually moves with the long end, so the curve flattens or shifts.

If the 10 Yr rises because the term premium rose, the market is saying it now wants more compensation to hold duration. The expected path has not changed. This can follow heavier Treasury supply, a central bank reducing its holdings, or rising uncertainty about inflation. The front end often stays anchored, so the curve steepens.

The two cases have different consequences beyond the bond market. A premium driven rise tightens financial conditions without any improvement in growth, which is the less comfortable of the two. It also weakens the case for holding long duration as a hedge, because the yield rose for reasons unrelated to the economic cycle.

The forward rate curve carries the same ambiguity. A steep forward curve can reflect expected tightening or a demand for premium, and only a decomposition separates them.

FAQ

Can the term premium be negative?

Yes, and it has been for extended periods. A negative premium means investors accept less yield on a long bond than the expected path of short rates alone would justify. Large scale central bank purchases can produce this by removing duration from the market. Strong demand for a safe long dated asset can do the same.

Does a negative term premium mean bonds are overvalued?

Not by itself. It means investors are paying for something other than yield, such as the hedging value of a bond that rallies when equities fall, or a regulatory requirement to hold long dated government debt. Those are real reasons to own an asset, and they can persist for years.

Can the term premium be traded directly?

No. It is a model output rather than an instrument, so no security has the premium as its price. The closest expression is a long duration or curve position, which takes on the premium together with everything else moving that yield. A trade sized from a premium estimate therefore carries model risk on top of market risk. The ACM model page covers how the estimates themselves behave.

View chart →


Related Terms

  • Yield Curve — A line plotting Treasury yields across maturities from 1-month bills to 30-year bonds. The global benchmark for risk-free rates and the term structure of interest rates.
  • Duration — Duration measures a bond's price sensitivity to interest rate changes. It is the foundation of fixed-income risk management.
  • Forward Rate — The implied future interest rate derived from the current yield curve using no-arbitrage pricing.

Back