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Glossary

duration

Macaulay duration · modified duration · effective duration

Duration is the sensitivity of a bond's price to a change in interest rates, expressed in years. A duration of 7 means a 100bp yield rise cuts price roughly 7%. It is the primary measure of interest-rate risk in fixed-income portfolios.

How it works

Macaulay duration is the cash-flow-weighted average time to receive a bond's payments; modified duration divides this by (1 + yield) to give the percentage price change per 1% yield move. Longer maturities, lower coupons, and lower yields all lengthen duration. Convexity captures the curvature duration's linear approximation misses.

Why it matters now

In the 2025–2026 reflationary regime, sticky inflation and heavy Treasury supply keep the long end vulnerable, making duration "unattractive" — investors are paid little term premium to bear the rate risk of holding long bonds.

Example

A 10-year Treasury with a 4% coupon yielding 4.5% carries a modified duration near 8. If yields jump 50bp to 5.0%, the bond loses roughly 4% in price (8 × 0.50%). The 2022 cycle showed this brutally: the Bloomberg US Aggregate, with ~6.5 years duration, fell ~13% as yields repriced.

Mechanism

Modified duration ≈ −(1/P)(dP/dy); ΔP/P ≈ −D_mod × Δy. Macaulay duration = Σ(t·PV_t) / P.

How desks use it

  • Sizing interest-rate risk and hedging a bond book by matching duration exposure
  • Judging whether term premium compensates for the duration risk of going long-end
  • Immunising liabilities by matching asset and liability duration

Frequently asked

What is duration in bonds?
Duration is the sensitivity of a bond's price to interest-rate changes, expressed in years. A bond with a duration of 7 loses roughly 7% of its value when yields rise 100 basis points. It is the standard measure of a fixed-income portfolio's interest-rate risk, distinct from a bond's time to maturity.
How is duration different from maturity?
Duration differs from maturity by weighting each cash flow by when it arrives and discounting it to present value, whereas maturity is simply the final repayment date. A 10-year zero-coupon bond has duration equal to its maturity, but a 10-year coupon bond has shorter duration because earlier coupons return capital sooner.
Why does duration matter for rate risk?
Duration matters because it quantifies how much a bond or portfolio will gain or lose for a given yield move, letting desks size and hedge interest-rate exposure. The 2022 selloff demonstrated this: the Bloomberg US Aggregate, with about 6.5 years duration, fell roughly 13% as Treasury yields repriced sharply higher.
What is the difference between duration and convexity?
Duration gives a linear, first-order estimate of price change for small yield moves, while convexity corrects for the curvature that duration misses on large moves. Because the price-yield relationship is convex, duration overstates losses and understates gains; convexity adjustment becomes material for long-duration bonds and big rate shocks.
Why is duration unattractive in 2025?
Duration is unattractive in 2025 because sticky inflation, heavy Treasury supply, and a thin term premium mean investors are poorly compensated for the rate risk of holding long bonds. In a reflationary regime that favours risk assets, taking duration exposure offers limited upside against meaningful downside if yields back up.

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By The Ledger DeskLast reviewed 2026-06-11