Interest Rate Sensitivity
Interest rate sensitivity measures how much the price of a fixed‑income asset (for example, a bond or bond fund) will change in response to movements in market interest rates. Securities with higher sensitivity experience larger price swings for a given change in rates; those with lower sensitivity move less.
Key takeaways
- Interest rates and fixed‑income prices are inversely related: when rates rise, bond prices generally fall, and vice versa.
- Duration is the common metric for quantifying interest‑rate sensitivity.
- Longer maturities and lower coupons increase sensitivity.
- Understanding sensitivity helps investors manage risk, estimate potential price changes, and construct interest‑rate–resilient portfolios.
How interest rate sensitivity works
Duration summarizes a bond’s price sensitivity to interest‑rate changes by incorporating cash‑flow timing, coupon size, and maturity. A higher duration means a larger percentage price change for a given change in interest rates. For small parallel shifts in the yield curve, duration provides a reasonable linear estimate of price change; for larger moves, convexity and other effects matter.
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Practical effects:
* Longer‑dated bonds are generally more sensitive than shorter‑dated bonds.
* Lower‑coupon bonds are generally more sensitive than higher‑coupon bonds.
* Zero‑coupon bonds have duration equal to their maturity.
Duration can be used to:
* Estimate expected percentage price changes from rate moves.
* “Immunize” a portfolio against small rate changes by matching asset and liability durations.
* Help position portfolios for anticipated rate movements.
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Common duration measures (types of interest‑rate sensitivity)
- Macaulay duration — The weighted average time (in years) to receive a bond’s cash flows. It’s useful for understanding timing risk but is not directly the percent price change.
- Modified duration — Derived from Macaulay duration and yield; it approximates the percentage price change for a 1 percentage‑point change in yield (modified ≈ Macaulay / (1 + yield per period)). It’s widely used for small, parallel yield shifts.
- Effective duration — Used for bonds with embedded options (calls, puts). It estimates price sensitivity accounting for expected cash‑flow changes as rates move and is typically calculated using scenario or model‑based price changes for a small shift in rates.
- Key rate duration — Measures sensitivity to changes in yield at a specific point (maturity) on the yield curve. Summing key rate durations across maturities helps estimate the impact of non‑parallel shifts in the yield curve.
Examples
- A bond fund with an effective duration of 11 years would be expected to lose about 11% of its value if interest rates rise instantaneously by 1 percentage point (11 × 1% = 11%).
- A corporate bond with duration 2.5 would be expected to rise by about 1.25% if rates fall by 0.5% (2.5 × 0.5% = 1.25%).
Practical considerations for investors
- Use duration to match horizon and risk tolerance: shorter duration for less sensitivity and lower short‑term price volatility.
- For portfolios with liabilities (pensions, insurance), matching asset and liability durations can reduce interest‑rate risk.
- Remember that duration is an approximation: large rate moves, convexity, embedded options, and non‑parallel yield‑curve shifts can change outcomes. Use effective duration or scenario analysis for bonds with features (calls/puts) or when expecting complex curve movements.
Conclusion
Interest‑rate sensitivity, primarily measured through various duration metrics, is a central concept in fixed‑income investing. It quantifies how much bond prices will change when rates move, helping investors assess risk, estimate potential losses or gains, and structure portfolios to withstand or benefit from interest‑rate changes.