Duration

Duration measures how sensitive a bond’s price is to interest rates. Modified duration gives the approximate percentage price change for a one-percentage-point change in yield: a bond with a duration of 7 loses about 7% if yields rise by 1 point.

Two bonds can both yield 4% yet react very differently when rates move. Duration is the number that tells you how much. It combines a bond’s maturity, coupon and yield into one measure of interest-rate sensitivity, and it is printed on almost every bond fund factsheet. This entry explains what duration means, the simple rule of thumb for using it, and its limits.

Category
Bonds and Interest Rates
Reading time
4 min
Also called
Modified duration, Macaulay duration, Key rate duration
Updated

Duration in plain words

Duration is a measure of how much a bond investment is likely to change in value if interest rates rise or fall. Generally, the higher the duration, the more sensitive the bond is to rate changes.1

A rough rule: price change ≈ −duration × change in yield. In FINRA’s example, a bond with a duration of 10 would be expected to gain about 10% if rates fell by one percentage point — and lose about the same if they rose.1 See Interest Rate.

How to use duration, step by step

  1. Find the duration

    Bond funds list it in their key facts; for single bonds it is calculated from the cash flows.

  2. Estimate the price move

    Percentage change ≈ −duration × yield change (in percentage points).

  3. Know what drives it

    Longer maturity and lower coupons mean higher duration.2

  4. Match it to your horizon

    Shorter duration if you may need the money soon.

  5. Compare funds

    Similar yields with very different durations carry very different rate risk.

  6. Remember the limits

    The rule works for small rate moves; large moves need convexity. See Convexity.

Worked examples

Example 1 — Rates rise

Rate rise

A bond fund has a duration of 6. Yields rise by 1.5 percentage points.

Example 1 — Rates rise — calculation
Estimated price change−6 × 1.5 = −9%

Duration turns a rate move into an expected price move.

Example 2 — Same yield, different risk

Comparison

Fund A (duration 2) and fund B (duration 12) both yield 4%. Yields fall by 1 point.

Example 2 — Same yield, different risk — calculation
Fund A≈ +2%
Fund B≈ +12%

Long duration gains more when rates fall — and loses more when they rise.

Example 3 — Zero-coupon vs. coupon bond

Structure

A 10-year zero-coupon bond and a 10-year 6% coupon bond.

Example 3 — Zero-coupon vs. coupon bond — calculation
Zero-coupon duration≈ 10 years
Coupon bond durationShorter (coupons arrive earlier)

With all cash at the end, a zero is the most rate-sensitive bond for its maturity. See Zero-Coupon Bond.

What raises or lowers duration

AspectEffect on durationWhy
Longer maturityHigherCash flows further away
Higher couponLowerMore cash returned earlier
Higher yieldLowerDistant cash flows weigh less
Call featureLower when rates fallBond may be repaid early. See Callable and Putable Bonds

How investors use duration

  • Choosing bond funds

    Matching rate risk to comfort and horizon.

  • Positioning for rates

    Longer duration if rates are expected to fall.

  • Hedging

    Matching the duration of assets and liabilities. See Hedging.

  • Risk reports

    Summing rate sensitivity across a portfolio.

Advantages and disadvantages

Advantages

  • One number for interest-rate risk.
  • Simple rule for estimating price moves.
  • Comparable across bonds and funds.

Disadvantages

  • Approximate, especially for large rate moves.
  • Assumes the whole yield curve shifts equally.
  • Changes over time as bonds age and yields move.
  • Less reliable for bonds with options.

Going deeper

Read as far as you need. Each level builds on the one before it.

Duration in years

Beginner

Duration is often quoted in years. Roughly, it is the weighted-average time until you receive the bond’s cash flows.

Macaulay vs. modified

Intermediate

Macaulay duration is the weighted-average time to cash flows; modified duration adjusts it for the yield and gives the percentage price sensitivity used in the rule of thumb.

Key-rate duration

Advanced

Real yield curves do not move in parallel. Key-rate durations measure sensitivity to specific maturities on the curve. See 2s10s Spread.

Common mistakes

  1. Comparing funds on yield only

    Check duration as well.

  2. Treating duration as maturity

    They are related but different.

  3. Using the rule for big moves

    Accuracy falls as moves get larger.

  4. Forgetting that duration changes

    Recheck it regularly.

Check your understanding

Test yourself before moving on. Each answer comes with an explanation.

Q1A bond has a duration of 8. Yields rise by 0.5 percentage points. What is the approximate price change?
Q2Which bond usually has the higher duration?

Key points to remember

  1. Duration measures a bond’s sensitivity to interest rates.
  2. Price change ≈ −duration × change in yield.
  3. Longer maturity and lower coupons raise duration.
  4. Higher duration means bigger gains and losses as rates move.
  5. It is an approximation; large moves need convexity.

Frequently asked questions

What does a duration of 5 mean?

That the bond’s price would change by roughly 5% for a one-percentage-point change in yield, in the opposite direction.

Is high duration bad?

It means more rate risk — good if rates fall, bad if they rise.

Where can I find a fund’s duration?

Usually in the fund’s key facts, factsheet or portfolio statistics.

Further learning

Sources

This article is written in our own words. The sources below support the specific facts, rules and figures marked with a number in the text. Links open the original publisher’s page.

  1. FINRA. Brush Up on Bonds: Interest Rate Changes and Duration (opens in a new tab) Checked .
  2. Investor.gov (SEC). Investor Bulletin: Fixed Income Investments — When Interest Rates Go Up, Prices of Fixed-Rate Bonds Fall (opens in a new tab) Checked .

Educational content, not financial advice. Examples use hypothetical prices and simplified costs; actual fees, margin rules and regulations vary by broker, market and country. We are not affiliated with any publisher linked above. Last reviewed . Report an error or request a source credit.