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Finance · Beginner

Bond duration and interest-rate risk

Duration summarizes how a bond's value responds to a change in yield. Modified duration is commonly used for an approximate percentage price change. Macaulay duration instead measures the present-value-weighted timing of payments. Both may be expressed in years, but neither should be casually substituted for the maturity date.

Examples are fictional and educational. This article was prepared with AI assistance and editorial review; it is not personal investment advice.

How it works

For a small yield change, percentage price change is approximately −modified duration × change in yield. Use the yield change as a decimal. Fifty basis points means 0.50 percentage points, or 0.005, not 0.50. The negative sign reflects the inverse price-yield relationship when promised payments remain unchanged.

Longer payment timing and lower coupons generally increase sensitivity, other conditions equal. A fund's duration summarizes its current holdings and may change as securities mature or managers rebalance. An ordinary bond fund does not necessarily provide a single maturity date when an investor's original purchase price will be returned.

Worked example

Suppose a fictional bond has modified duration 6 and a full price of 1,000. Its required yield rises from 4% to 4.5%, a 0.005 change. Estimated price movement is −6 × 0.005 = −3%, giving approximately 970. A comparable 0.50-point yield decline suggests approximately +3%. These are immediate price estimates before coupon income, costs and convexity adjustments.

Interpretation and limits

Duration is a local linear approximation. Larger yield moves require attention to the curved price-yield relationship, called convexity. Nonparallel yield-curve changes, credit spreads and embedded options can undermine the simple estimate. Callable bonds may require effective duration. Low duration does not remove default, liquidity, inflation or currency risk.

Chart practice

Read the issuer's or fund's dated duration definition separately, then inspect available closed bars for a supported instrument. Student Wyckoff Pro provides chart analysis; a price pattern alone does not reveal verified duration or isolate the cause of a bond fund's movement.

Primary sources

Sources explain the mechanics and limitations; the editorial examples use invented numbers rather than market quotations.

Your next practical step

Continue with analysis of available closed daily, weekly and monthly bars.

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