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L.9 · BEGINNER · 3 MIN

Duration and Convexity: Intuition for Retail Investors

Duration is the most useful single number in fixed income — and the most misunderstood by beginners. The number is in years, but it is not a maturity. It is a sensitivity. A duration of 7 means that for a 1 percentage point change in interest rates, the bond's price moves about 7% in the opposite direction. That is the working definition; the rest of this module is about when the approximation is good enough and when convexity bends the line.

Quiz · 5 questions ↓
§ 01
Price change (%) is approximately equal to negative Duration multiplied by Rate change
§ 02
HoldingTypical durationImpact if rates rise 1 ppWho fits this risk
Money-market fund / 3-mo T-bill~0.25 yearsAbout -0.25% (barely visible)Cash sleeve, emergency fund, near-term need
Short-term Treasury ETF (1-3 yr)~2 yearsAbout -2% price dropConservative income, sleep-at-night allocation
Total bond market ETF (Agg-like)~6 yearsAbout -6% price dropCore bond allocation in a diversified portfolio
Long-term Treasury ETF (20+ yr)~17 yearsAbout -17% price dropStock-portfolio hedge, deflation/recession bet, NOT a yield-grab tool
§ 03

Duration is a straight-line approximation of a curved relationship. For small rate changes (around 25-50 bps), the line and the curve are virtually identical, and ignoring convexity is fine. For large moves — a full percentage point or more — the curve bends UP relative to the line. Practically, that means a long-duration bond LOSES less than duration alone predicts when rates spike up, and GAINS more than duration alone predicts when rates fall sharply. The asymmetry is in your favor. Long bonds have more convexity than short bonds, so the convexity boost matters more for a 30-year Treasury than for a 2-year note.

§ 04

A common beginner trap is treating any bond holding as 'the safe part of the portfolio' without checking the duration. A long-duration Treasury fund can lose 20% in a year on a rate spike — that is not bond-fund behavior, that is stock-fund behavior dressed in bond clothing. The 2022 calendar year is the canonical recent example: long-duration Treasury ETFs lost roughly 30% as rates rose sharply, while short-duration bond ETFs lost roughly 3-5%. Same asset class, very different ride. The right discipline is to match duration to time horizon: money you need in 1 year should not sit in a 17-year-duration fund, no matter how attractive the yield looks today.

§ 05
Pull up a bond ETF you own or are considering (or use the Markets view to browse one — AGG, BND, SHY, TLT, IEF are all common). Find its 'effective duration' or 'average duration' in the fund's fact sheet (always disclosed). Multiply that number by 1 — that is your expected percentage loss if rates rise one percentage point. Multiply by 0.5 — that is your expected loss on a half-point rise. The arithmetic is the whole game.
§ 06

Duration tells you the rate-sensitivity dial on every bond holding you own. Convexity is a second-order detail that bends the answer slightly in your favor at the extremes, but you should not need to compute it as a retail investor. The single concrete habit to build is this: every time you look at a bond or bond fund, look up the duration and translate it into a 1-percent-rate-move scenario in your head. That is how professionals talk about bond risk, and it is the cleanest way to keep duration-vs-horizon decisions honest.

Five questions · AI feedback

Sit with the ideas.

You are debating between two bond ETFs for the cash you will need to make a down payment in 14 months. Fund A is a 1-3 year Treasury ETF with a duration of 1.9 years and a current yield of 4.4%. Fund B is a 20+ year Treasury ETF with a duration of 17 years and a current yield of 4.7%. Suppose rates rise 1.5 percentage points over the next year. Roughly what happens to each fund, and which fits your goal?

Why:
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