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Macaulay duration

For a fixed-income instrument, weight each interest and principal payment time by that payment's present value as a proportion of total price. Macaulay duration measures timing in years and helps derive price sensitivity. A zero-coupon bond's duration equals its maturity because all cash arrives at the end; a conventional positive-coupon bond normally has shorter duration than maturity. Duration depends on yield and cash-flow terms and does not capture credit changes or embedded-option effects by itself. Convert payment frequencies consistently when working from periodic yields.

Worked example

A two-year zero-coupon bond has all its cash flow at year 2, so its Macaulay duration is 2 years regardless of its discount rate. A two-year bond paying an earlier coupon has some value received before year 2, reducing its weighted-average receipt time.

Common mistake

Calling maturity and duration identical for every coupon-paying bond.

Where it appears in your exams

QualificationExamRelationshipPeriod
ACCA AFM Direct September 2026–June 2027