FinanceFEATURE

How Bond Duration Quantifies Interest Rate Risk in Fixed Income

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EffectStory 編輯部Editorial Team
Published · Updated
Bond prices move inversely to interest rates, and duration—expressed in years—measures how sharply a bond's value shifts for each percentage-point change in rates. FINRA's rule of thumb holds that a bond with a duration of 10 is expected to fall roughly 10% if rates rise by 1 percentage point. MSRB confirms that longer-maturity bonds carry greater rate sensitivity, a dynamic the Federal Reserve's own balance-sheet accounting reflects as well.

Why Do Bond Prices Fall When Interest Rates Rise?

Bond prices and interest rates move in opposite directionsCITE:E1. The U.S. Municipal Securities Rulemaking Board (MSRB) states that interest rates and bond prices have an inverse relationship, so when market interest rates rise, bond prices fall, and vice versaCITE:E1. This is not only a retail-investor phenomenon: the Federal Reserve's own accounting shows the same mechanism at work on a balance-sheet scale. The Federal Reserve notes that when interest rates rise, the market value of securities it holds declines, resulting in a decrease in the unrealized position; when interest rates fall, the unrealized position increasesCITE:E7. The direction of the relationship is identical whether the holder is an individual bondholder or a central bank.

How Is Bond Duration Defined, and in What Unit Is It Expressed?

The Financial Industry Regulatory Authority (FINRA) defines duration as a measure of how much a bond's value is likely to change if rates moveCITE:E2. Specifically, FINRA states that bond duration is a measure of the degree to which a bond investment is likely to change in value if interest rates were to rise or fallCITE:E2. FINRA further specifies that this measure is stated in years: duration signals how much the price of a bond investment is likely to fluctuate when there is an up or down movement in interest ratesCITE:E3. In other words, duration converts an abstract sensitivity into a single, year-denominated number attached to each bond.

How Is Duration Used to Quantify the Price Impact of a Rate Change?

FINRA's rule of thumb ties a 1-percentage-point rate move directly to a bond's duration numberCITE:E4. Generally speaking, FINRA explains, for every 1 percentage-point change in interest rates, a bond will rise or fall in the opposite direction by an amount equal to its duration numberCITE:E4. FINRA illustrates this with a worked example: if a bond has a duration of 10 and interest rates increase by 1 percentage point, that bond's price would be expected to decline by approximately 10 percentCITE:E5.

Duration (years)Rate ChangeExpected Price Change
10+1 percentage pointapproximately -10%

This table reflects FINRA's stated example only; the underlying rule of thumb applies proportionally to any duration and any rate move of that magnitudeCITE:E4.

Why Are Longer-Maturity Bonds More Sensitive to Interest Rate Changes?

MSRB states that time to maturity and rate sensitivity move togetherCITE:E6. The longer the time to maturity of a bond, the more sensitive that bond will be to changes in interest rates, according to MSRBCITE:E6. Combined with FINRA's duration rule, this means bonds further from maturity tend to carry higher duration numbers, and therefore larger expected price swings for the same 1-percentage-point rate moveCITE:E4.

What This Means

Across these sources, a single mechanism repeats at different levels of detail. MSRB establishes the direction: rates up, prices downCITE:E1. The Federal Reserve's balance-sheet notes confirm the same direction applies to unrealized positions on large institutional holdingsCITE:E7. FINRA supplies the magnitude: duration, stated in years, converts that directional relationship into a specific number, and its rule of thumb — a 1-percentage-point rate move producing a price move roughly equal to the duration number — turns a duration of 10 into an expected ~10% swingCITE:E4CITE:E5. MSRB's maturity observation closes the loop by explaining why some bonds carry higher duration numbers than others: longer time to maturity raises sensitivityCITE:E6.

📊 Evidence

FAQ

Why Do Bond Prices Fall When Interest Rates Rise?

Bond prices and interest rates move in opposite directionsCITE:E1. The U.S.

How Is Bond Duration Defined, and in What Unit Is It Expressed?

The Financial Industry Regulatory Authority (FINRA) defines duration as a measure of how much a bond's value is likely to change if rates moveCITE:E2.

How Is Duration Used to Quantify the Price Impact of a Rate Change?

FINRA's rule of thumb ties a 1-percentage-point rate move directly to a bond's duration numberCITE:E4.

Why Are Longer-Maturity Bonds More Sensitive to Interest Rate Changes?

MSRB states that time to maturity and rate sensitivity move togetherCITE:E6.

📎 Sources

  1. msrb.org
  2. finra.org
  3. finra.org
  4. federalreserve.gov

Related data

Author's TakeEffectStory 編輯部

The useful part of FINRA's rule of thumb is that it hands investors one number — duration in years — that already prices in the maturity effect MSRB describes separately: a longer time to maturity raises the duration number, which then flows directly into the 1-percentage-point-to-price-change math. That the Federal Reserve applies the identical directional logic to its own securities' unrealized position shows this isn't a retail simplification; it's the same accounting relationship at any portfolio size. The concrete indicator to watch is the published duration figure itself alongside the size of any rate move — the FINRA example of a duration-10 bond losing about 10% on a 1-point rate rise is the arithmetic to re-run whenever either input changes.

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EffectStory 編輯部Editorial Team

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